diff --git "a/data/dm_maths/full_data/1080_11255.jsonl" "b/data/dm_maths/full_data/1080_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/1080_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: (-1 - (-10 + 4)) + (-12 - -1)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 100263.54 rounded to the nearest ten?\nAnswer: 100260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 4*c + 81, 2*w + c - 22 = -0*c. Is w at most 10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*b + 89 - 89)*(-69 + 33 + 4*b**3 - 2*b**3).\nAnswer: -30*b**4 + 540*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:07 AM and 3:48 PM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (27 - 17) - (2 + 1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -120 - 0. Suppose -33 - a = -3*w. Let f be w\/(-9) - (-3 - -1). Put 0.5, 0.3, f in increasing order.\nAnswer: f, 0.3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the second derivative of -x**3\/6 + 3*x. Let z(j) = 4*j. Give o(z(q)).\nAnswer: -4*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -1. Suppose -4*z - 14 = 2*p, -3*p - z = 5 + 1. Let j(g) = 3*g + 4. What is p*f(a) - j(a)?\nAnswer: -3*a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/17*i + 2\/17 - 2\/17*i**2 + 2\/17*i**3.\nAnswer: 2*(i - 1)**2*(i + 1)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (25 + 10 + 120)*(0*y**5 + y**5 + 0*y**5).\nAnswer: 155*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 657412247?\nAnswer: 657412247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 96*r = 3*r - 744 for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -995, -2038, -3147, -4322, -5563, -6870, -8243?\n\"Answer: -33*c**2 - 944*c - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 287 and 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6433 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -20 + 6*k - 3*k + k. Let m be q(8). What is the tens digit of m + -4*(-2)\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 14 = -6*u - 4*v, -2*u + 3*v + 24 = 0. Let o = 8 - u. Suppose o = -2*p + 80. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3828 and ((-182)\/(-65))\/((-9)\/(-7830)) + 0?\nAnswer: 26796","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 237, 238, 239, 240, 241, 242?\n\"Answer: s + 236","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.9, 2\/5, -0.08.\nAnswer: -0.08, 2\/5, 0.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 338537539 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (27*l - 5 + 5)*(-9*l**3 - 2*l**4 + l**2 - 5*l**3 + 13*l**3)*(2 + 3 - 3).\nAnswer: -108*l**5 - 54*l**4 + 54*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 102 + -85. Suppose v*f - 105 = -20. Suppose 7 = -4*p + 5*m + 2, 5*p - 5 = -f*m. Is p > 2\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 3*m - 484 = 0, 4*h - 5*m + 1036 - 68 = 0. Let r = 68 - 44. Let t be h\/(-12) + (-4)\/r. Solve 0 = -3*y + 5 - t for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -20, -1\/6 in increasing order.\nAnswer: -20, -1\/6, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 319*o**2 + o. Let p(u) = 2*u. Determine c(p(w)).\nAnswer: 1276*w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12105?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and -25214.\nAnswer: 100856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**2)**(-39\/2))**(-6\/11) assuming s is positive.\nAnswer: s**(234\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 3*p**5\/5 - 123*p**4\/5 = 0.\nAnswer: 0, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*q**2 - 14*q**2 + 4*q**2)*((2 + 0 + 0)*(1 - q**2 - 1) - 1 + 1 + 12*q**2) to p*q**2 + d*q + u*q**3 + t + w*q**4 and give w.\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1192387*o**2*t**3 - 7*o**2 - o*t**3 + 3*o*t**2 - 55*o*t - 6304*o + t**3 + 2 wrt o?\nAnswer: -2384774*t**3 - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**2 - 49*i + 1301. Let t be n(-68). Solve -25 - t = 3*k - 4*h, 2*h = k + 14 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 7 + -30?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -1880, 1\/4, -3.4, 0, 0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/179, 8, 0.1, -2\/9, 0.3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t**4\/3 - 680*t**3\/3 + 22948*t**2\/3 + 168640*t + 738048 = 0.\nAnswer: -8, 93","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - u = 3*u + 60, 4*c = u + 92. List the prime factors of c.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99\/5*o**3 + 0 - 36\/5*o + 21*o**2 + 27\/5*o**4 + 3\/5*o**5 = 0. Calculate o.\nAnswer: -12, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b + 2*b - 5*b)*((2*b**3 - 4*b**3 + 3*b**3)*(31 - 16 + 29) + 22*b**2 - 22*b**2 + 16*b**3).\nAnswer: -120*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 417 is divided by 130?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -5 - 5 + 9. Let n(t) = t - 4. Let g be 1\/(-2) + (-27)\/(-6). Suppose -g*u = -0*u - 4. Determine u*n(z) - 5*m(z).\nAnswer: z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22537, 0, 5 in ascending order.\nAnswer: 0, 5, 22537","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 + -9. Suppose -3*x + 5*y = -4 - r, -4*x + y + 28 = 0. What is the lowest common multiple of x and 11?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1363?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add together -10633287918 and -4.0228.\nAnswer: -10633287922.0228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.13 + 0.24. Let z = -1.31 + y. What is z rounded to 0 dps?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 375.062 rounded to the nearest integer?\nAnswer: 375","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**2\/8 - 4537035*h\/4 - 2268517.\nAnswer: -(h + 2)*(h + 9074068)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -3*y - 13. Let l(f) = 3*f + 5. Let g(w) = -4*w - 7. Let c(o) = 4*g(o) + 5*l(o). Let x(h) = 2*a(h) - 9*c(h). Calculate x(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (0 - (3 + (-82)\/26)).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -694 or -36?\nAnswer: -694","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 - 7. Let y = 1 + 0. Let h(g) = 9*g**2 + 2*g - 1. Let q be h(y). Solve -r = -4*i - 2, -q = -j*i + i - 5*r for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**2 - 14*z - 772. Calculate the smallest common multiple of t(38) and 35.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 plus 25114921129928?\nAnswer: 25114921129928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_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: Collect the terms in 346*g**2 - 173*g**2 - 175*g**2.\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = w - 0*w, -w - 5*h = 0. What is the closest to w in 5\/3, -2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 - -2 - (387 - 350) - 23.\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 21 + -24. Let z = -6 - -6.5. What is the smallest value in m, -0.5, z?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7874200.0000055 - -7874186. Let j = 17 - 31. Let u = j - v. What is u rounded to six dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*h + 4292 = 4321. Let r be (-19413)\/(-9020) + (-1 - 1). Let m = r - 1\/451. Do h and m have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -2*s**3 + 7*s**2 + 6*s. Let d(h) be the third derivative of h**6\/40 - 2*h**5\/15 - 7*h**4\/24 - 321*h**2 - 2*h. Determine 5*d(k) + 6*u(k).\nAnswer: 3*k**3 + 2*k**2 + k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(8\/((-8)\/2)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*m**2 - 4*m**2 + 0*m**2)*(0*m**2 - m**2 + 2*m**2) + 0*m**4 + 0*m**4 + 2*m**4 - 3*m**4 + 2*m**4 + 3*m**4.\nAnswer: 5*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1548.47 + -534.7\nAnswer: 1013.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the third derivative of -d**6\/120 + d**5\/12 - d**4\/12 - d**3\/6 + 25*d**2. Suppose 0*w + 4 = 2*w, n - 3*w = -1. Give i(n).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1285*j = 1302*j - 47345. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-seven quarters of a hour in minutes?\nAnswer: 1005","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-8)\/6*(-1 + 259\/(-14)). Solve -10*b - 6 = -y for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 222*r**2 - 16*r - 4. Let a(h) = 2440*h**2 - 180*h - 45. Give -4*a(y) + 45*n(y).\nAnswer: 230*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -89 + -24*572\/(-264)\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -9*a - 4*m - 245, 0 = 2*a + 2*m + 100. Let h be a\/(-135) + (-23)\/(-3). Solve -4*l = -h*l - 2*x + 10, 13 = 5*l + 3*x for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-11)\/(-22)*(-10)\/(-1). Solve -16 = -2*s + i*v, -5*s + 7 + 6 = v for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 5*b**2 + 2*b + 1. Let k be r(-1). Suppose 2*c + 3*g = 7*g - k, 5*g - 4 = 2*c. Let v be 13 + (c - 2) + 1. What is v rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*a + 27*a - 15 = 0. Suppose a*n + n - 18 = 0. Is (621\/n)\/1 - 4 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1014 - 502. Suppose 2*m = 5*o - l, 0 = m - 0*m + 1. Is 34 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence onsn when four letters picked without replacement from ooonnnnoonossooo?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3 + 1 + (-2 - 0). Suppose 11 = w*t + 3. What is the third derivative of -2*j**2 - 7*j**3 - 4*j**3 + 3*j**t + 11*j**3 wrt j?\nAnswer: 72*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1984*p + 59413 = -1067*p - 16698 for p.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 2*j**2 + 5*j + 165. Let i(w) = -44 - 53 - w - 150 - 6*w - 3*w**2. Let o(m) = -7*b(m) - 5*i(m). Is 16 a factor of o(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 53*w - 4. Let u(h) be the first derivative of -27*h**2\/2 + 2*h + 11469. Give 4*l(z) + 9*u(z).\nAnswer: -31*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (200\/15)\/(6\/45). Let m = 162 - r. Suppose -61*j - 5 + 0 + j**2 - j**3 + 4 + m*j = 0. Calculate j.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 296213?\nAnswer: 296213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - (7 - 59)) + -136 + 139 + -19?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.13, -1\/9668, 2, 0.03655?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1008)\/(-4480))\/(3\/(-45)*-3*3).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 - 2*c + 4 + (8 + 0 - 5)*(0*c - 3*c + 5*c) as h*c + i and give h.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**2 - 10*s - 4. Let i be q(-7). Let w = i - 24. List the prime factors of 2496\/84 + (-2)\/w.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4.7 - -0.7. Let s(v) = -v**3 - 3*v**2 - 3*v - 3. Let t be s(-2). Let i be t\/6 - 1\/(-3). What is the biggest value in 2, p, i?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 882320 is divided by 19605.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 3*u**2 - 144*u - 7520. What is f(83)?\nAnswer: 1195","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, -1\/5, 0, 205?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (100\/(-480))\/(75\/(-240)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 732 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6586.595 rounded to the nearest 100?\nAnswer: 6600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -46*o - 37*o + 14*o - 101. What is the tens digit of c(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**3 + x**2 - x + 19. Let p be z(3). What is the third biggest value in 61, p, -0.1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 23, 4\/9, 13\/29103?\nAnswer: 13\/29103","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11610 = -54*w - 13*w + 13*w. What is the closest to w in 3, -2\/7, 2\/13?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, h: 3, c: 2, p: 6, b: 1, v: 6}. What is prob of picking 1 h and 1 w?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1340986894 to the nearest integer?\nAnswer: 1103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((c\/((c\/(c**2*c))\/c))\/(c*c**(-8)*c))\/(((c\/c**(1\/4)*c)\/c)\/((c\/(c**5\/c*c)*c)\/c)))**45)**(1\/17) assuming c is positive.\nAnswer: c**(945\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -214 + 224. Suppose -o*p + 12*p = 18. Solve s - 4 = -p for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1082676, 2165343, 3248010, 4330677, 5413344?\n\"Answer: 1082667*r + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10120*i - 134 = -10138*i - 44 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*b - l + 11 = 0, -3*b - 2*l - 114 + 100 = b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/57, -5, 0, 3\/7, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -22*b + 23*b - 11, 5*m = 4*b - 53. Solve 0 = -4*k - k + 2*f - b, -4*k + f - 13 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-23085*q**2 - 22322*q**2 + 44731*q**2)*(q - 1 + q - 3*q).\nAnswer: 676*q**3 + 676*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(304)\/sqrt(8))\/sqrt(2) + (sqrt(133)*3)\/sqrt(7).\nAnswer: 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*i - i - 4*i)*(0 - 2 + 1)*(3 - 2*i - 3) - 2*i**2 + i**2 + 4*i**2 + (2 - 2 - 1)*(-4*i**2 + 3*i**2 - i**2).\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xlvjxvhhr. What is prob of picking 1 v, 1 x, and 1 j?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1673.939 rounded to the nearest 100?\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 77111 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23033839?\nAnswer: 23033839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 243 divide 119426116?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 12768377 a multiple of 731?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**4)**42 assuming u is positive.\nAnswer: u**168","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r and 1 e when four letters picked without replacement from {e: 7, r: 10, s: 2, q: 1}.\nAnswer: 56\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(11)*2)**2 - -3*sqrt(539).\nAnswer: sqrt(11) + 69","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -244 + 382. Let f = -171 + 174. Calculate the smallest common multiple of f and t.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -86, -209, -422, -731, -1142, -1661, -2294, -3047?\nAnswer: -3926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 31 and 144987.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -192, 2, -0.28818?\nAnswer: -0.28818","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1219 - -13400\/11. What is the common denominator of (131\/(-15) - 2) + 4\/3 and q?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 128 times -2.1\nAnswer: -268.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3200 is divided by 289?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-31)\/(m*m**(-35)))\/((m*m**(-27))\/((m\/((m*m**19)\/m*m))\/m)))**(1\/43) assuming m is positive.\nAnswer: m**(9\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14 - 10. Suppose -57 = 4*c - 4*d - 173, i*d = -4. Solve 0 = 3*w - 3*v - 9, c = 4*w + 5*v - 2 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1101010111000100 (base 2) to base 12.\nAnswer: 27804","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes before 6:23 AM?\nAnswer: 5:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1085.2346 + -1089.1. Let b = d - 21.1522. Let q = -25 - b. What is q rounded to three dps?\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/6 of a day in seconds?\nAnswer: 72000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/12)\/(6\/((-144)\/(-8)))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 + -8 + 0)*((-21895)\/(-406) - 54). Let -4\/7*q - y*q**2 + 4\/7*q**3 + 4\/7 = 0. What is q?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:26 PM and 7:53 AM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 94758 and 102?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 22*z**2 + 3 + 14*z**2 - 3 to the form v + a*z**2 + q*z and give a.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.24 - 1.74. Let f = t + -12.9. Let m = f + 1.4. Which is smaller: m or -2\/3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1513*y**5 + y - 54 wrt y?\nAnswer: 30260*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 2 d when three letters picked without replacement from {o: 1, u: 2, a: 2, b: 1, d: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -17041510 to the nearest 10000.\nAnswer: -17040000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -64*g**2*o - 2*g**2 + 2*g*o + 421*o wrt g.\nAnswer: -128*g*o - 4*g + 2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -1621*i - 366352. What is l(-226)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -608 = -p - p. Is p a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/14 and -41\/4256.\nAnswer: 4256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 211481.\nAnswer: 73, 2897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 - -1. Let j(q) be the third derivative of -q**4\/24 - 13*q**3\/3 - 2051*q**2. Let z(n) = 5. Give w*j(m) - 11*z(m).\nAnswer: 2*m - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -154294 divided by -23.\nAnswer: 154294\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -22*n**3 + 4*n**2 + 4*n. Let q(o) = 21*o**3 - 3*o**2 - 3*o. Suppose 2*i + 20 = -4*z, 10*i + 4*z = 5*i - 32. Give i*q(k) - 3*p(k).\nAnswer: -18*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**7)**46 assuming s is positive.\nAnswer: s**322","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 143073 to the power of 1\/2, to the nearest integer?\nAnswer: 378","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1865 - 1698. Suppose 0 = -5*u - 5, 5*j + 5*u - 1032 = -202. Are j and m nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1\/5))**42*(q*q\/(q\/q**10))\/q**(-14) assuming q is positive.\nAnswer: q**(83\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -6104, 4, -1\/7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -5 + sqrt(171)\/((sqrt(9) - ((sqrt(99)*-2)\/sqrt(11) + sqrt(9))) + sqrt(9)))**2.\nAnswer: 19\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put together -3578 and 106.2.\nAnswer: -3471.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.363 - 0.333. Let t = -563.73007 - -563.7. Let w = q + t. What is w rounded to 5 dps?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.7 (b) -0.2 (c) -22.699 (d) -3\/7 (e) 3\/5 (f) 0.2 (g) 20\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 + -11002212112?\nAnswer: -11002212111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 13268 (b) -4 (c) 0.4 (d) -0.2 (e) -5 (f) 12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2903836465.\nAnswer: 5, 580767293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes after 4:16 AM?\nAnswer: 11:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -636, -1263, -1866, -2433, -2952, -3411, -3798?\n\"Answer: 2*y**3 - 641*y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*x - 18 = 17*x - 3*s, -41*x + 5*s = -46*x + 20 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 983*s - 1044*s = 793 for s.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p - 6*p = -4. Let z be -2*p*(0 + 5). Solve m = 5*m + z for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 23*q**5 - 5*q**2 + 23*q. Let p(m) = -11*m**5 + 2*m**2 - 12*m. Let t(n) = 2*c(n) + 5*p(n). Find the second derivative of t(z) wrt z.\nAnswer: -180*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 3*j = 2*q - 5, 2*q - 10 = 2*j for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 32780347 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**2 + r - 1. Let s be 3\/2 - 1\/(-2). Let l(h) be the second derivative of -2*h**4\/3 - 4*h**3\/3 + 7*h**2\/2 + 33*h. Give s*l(d) + 14*b(d).\nAnswer: -2*d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 3*p - 63*x + 61*x, 0 = 5*p - 3*x - 27. Solve p = 3*v + a + 3*a, 10 = 10*v - 5*a for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 3*w - 6 = 0, -2*w + 57 = 5*q - 5*w. Let b be 15\/q*(1 + 8). Calculate the common denominator of (162\/(-90))\/(3\/(b\/4)) and -91\/60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(-4) - (-3)\/(-4). Let n(o) = o**3 - o**2 - o - 1. Let g(d) = 13*d**3 - 8*d**2 - 7*d - 6. Let f(j) = -g(j) + 6*n(j). What is the units digit of f(k)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -123010232130 (base 4) to base 3\nAnswer: -111100120120220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, -2, -20?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.7 + -1.2. Let v = 0.572 - u. What is v rounded to 2 dps?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 11 and -19910.\nAnswer: -219010","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.8 - 0.7. Let f = 0.6 - s. What is the closest to -1 in f, 1\/3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 9*a**2 - 4*a - 22. Let z(d) = 4*d**2 - 2*d - 10. Let x(u) = -2*h(u) + 5*z(u). Let g(s) = 6*s**2 - 6*s - 16 + 4 - 5. Calculate 4*g(w) - 11*x(w).\nAnswer: 2*w**2 - 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 8 divided by -1151740\nAnswer: -2\/287935","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4831 is divided by 325.\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13601 is divided by 61.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = 3*f + b, -b = f - 4*b. Solve 4*u + 99 = q + 82, -5*u + 4*q - 35 = f for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 3*f = -36. Factor 0*n**2 + 12 + 2*n**2 + n**2 + f*n.\nAnswer: 3*(n + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - i = 4. Let n = i - -1. What is the derivative of -v - v - n + 0 wrt v?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1138326 or 1138327?\nAnswer: 1138327","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 73 = 4*h, 0*f - 2*f = 10. Let b(y) = y**3 + 18*y**2 + 13*y + 22. Let z be b(h). What is the highest common factor of 10 and z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -170, -683, -1538, -2735, -4274, -6155, -8378?\nAnswer: -10943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1.328 and -0.0247097798.\nAnswer: -1.3527097798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-156)\/60 - -3)\/(20\/1850). Solve k*j - 1 = -1 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4.47055418 from -9.78.\nAnswer: -14.25055418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4444188 is divided by 688?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12936 = -3*c - 4815. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 59\/2, 7 in ascending order.\nAnswer: 4, 7, 59\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1420 + -5?\nAnswer: -1425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 227461976 to the power of 1\/2, to the nearest integer?\nAnswer: 15082","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -326*v - 8. Does 36 divide y(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -38 + 40. Suppose -3*i + 208 = -2*a - 2*a, -124 = -r*i - a. Does 16 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-27)\/(-6)*(-4)\/(-6). Suppose 5*y + 5*a = 15, -g*y - 2*a = -0*a - 8. Suppose 2*n + 4 = 3*w - 31, -y*w - 4*n + 34 = 0. What are the prime factors of w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -293 and 3398748.\nAnswer: 3398455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*u - 11244 = -3*u - 11148 for u.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1.2, -2, -0.388, -27, 1, 4, 3?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4, -72, 5, -3\/20 in decreasing order.\nAnswer: 5, 4, 1, -3\/20, -72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -6 - 131\/(-15) - 7 and 2\/20 + (-2)\/(-3).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, -0.3, 2, -55, 13?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.8472235398 - 936?\nAnswer: -939.8472235398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -0.14 (b) 0.1 (c) -54 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*h**3 + 2065*h**2 - 213180*h = 0. What is h?\nAnswer: 0, 204, 209","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/6*-3)\/((-1586)\/(-244))\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -285*o**2*r**3 + 16*o*r**3 + 2 wrt o?\nAnswer: -570*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14594?\nAnswer: 2, 7297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = 5*f, 2*j - 2*f + 6 = -8 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 27*u**5 + 3*u**5 + 39*u**5 + 2*u**5 - 3*u**5 + 2*u**5 + (1 - u**3 - 1)*(4*u - 4*u + u**2) - 3*u + 3*u - 2*u**5.\nAnswer: 67*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -32*d + 8. Is 34 a factor of c(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -7017*d + 617424. Give n(88).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -16\/11, 1, 5, -2\/11?\nAnswer: -16\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssdsdssisisii. What is prob of picking 2 i?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.5, 2621, 0.2, 4, 0.1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1\/175 - -171\/700. Let r = -128 + 643\/5. Sort p, -3, r in decreasing order.\nAnswer: r, p, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 d when four letters picked without replacement from {l: 2, t: 8, d: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does -1601 = -1356?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 167\/291840 and 27\/40?\nAnswer: 291840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 54153 divided by 99\nAnswer: 547","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes before 6:20 PM?\nAnswer: 8:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 34 - (-29 + -35 + 38)\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13318, -53344, -120044, -213412, -333442?\nAnswer: -480128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 0*k = -3*k - 10, -k = -r + 5. Suppose l = r*l. Let p = l - -15. Solve -y = -6*y - p for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + j - 18 = -j, 0 = -2*w + j - 8 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7279853029 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1086642*z + 735476.\nAnswer: -1086642","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 3*s - 20. Let n be k(7). Let u = n - -49. Is 17 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m + 26. Let b be r(-4). What is the greatest common divisor of 15 and b?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 4 - 2*r**2 - r**3 - 3*r**3 + 5*r**3 + 0*r - 3*r. Let k be (6\/8)\/((-2)\/(-8)). Let x be w(k). Let b(h) = -h**2 + 3*h + 4. Determine b(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 290 + -1447\/5. Put -24, -2\/7, -0.1, q in increasing order.\nAnswer: -24, -2\/7, -0.1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*w**2 - 2*w**2 - 17*w**2.\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**3 + 842*h**2 + 176951*h - 406. Calculate z(-404).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -232314, -232338, -232378, -232434, -232506?\nAnswer: -232594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 47890.21 milligrams in grams?\nAnswer: 47.89021","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u + 1 - 9. Suppose -64 = -3*g + 5*p, 0 = u*g + 2*g - p - 57. Let o = g + -6. What are the prime factors of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 + -22 - (5 + -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (2146\/(-8))\/(15\/(-60)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/7? (a) -0.3 (b) -1\/4 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (-16 + 4)\/4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s - 9*s + 24 = 0. Suppose 0 = s*o + 42 - 178. Solve -3*r + o = -3*i + 2*i, i = 4*r - 22 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (391\/138)\/((-1)\/(-12)). Calculate the highest common divisor of 187 and x.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.28, -354, -0.08, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(2*(-3)\/(-21)). Let k be 8 + (-2 - 8) - -5. Solve u = 2*h + k for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 116*u**4 - 3*u**3 + 359*u**2.\nAnswer: 2784*u - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/8089488 and 57\/22.\nAnswer: 8089488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 - (-4 - -7)) + 10. Suppose -2*c = -c + j. Let a be ((-100)\/30)\/(4\/c). Solve 0*f = a*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3257 or 3185?\nAnswer: 3185","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 + 88. Let l = s - 84. What is the nearest to 2 in -10\/3, -4, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 578 + -332. What is the lowest common multiple of 7 and n?\nAnswer: 1722","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 321 or 327?\nAnswer: 321","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 195 - 142. Let v be 0\/(3 + (-4)\/2). Suppose v = -b - 4*p + 27, 17 = 4*b - 3*p - j. Does 5 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rsjj. What is prob of sequence srjj?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1824758*2.\nAnswer: -0.3649516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -64 (base 7) in base 5?\nAnswer: -141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 607.\nAnswer: 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_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 -2955 = 5*v - 245. Let d = v + 673. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 72 in 1\/2, -4\/3, -2\/83?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50520 divided by -10.\nAnswer: -5052","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 480967*h**4 - 115*h**2 - 628181711*h wrt h.\nAnswer: 5771604*h**2 - 230","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(11)*-1*-2 - (sqrt(11) + (sqrt(1584) + 2 - sqrt(1584) - sqrt(1584))**2).\nAnswer: -1588 + 49*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*r = -18*r - 20 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*n + 14*d + 91 = 28*n, -3*n + 46 - 36 = 2*n + d for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(5*(-3 + (sqrt(468) - sqrt(468)*2) - 3*(sqrt(468) + 5)))**2.\nAnswer: 108000*sqrt(13) + 976500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u = -n + 52235 - 52219, -16 = -5*u + n for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 838.0226l in millilitres?\nAnswer: 838022.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**3\/3 - 124*z**2\/3 + 174*z - 132.\nAnswer: -2*(z - 3)*(z - 1)*(z + 66)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -378, -380, -382, -384?\nAnswer: -386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/3115 and 59\/6.\nAnswer: 18690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49354?\nAnswer: 2, 24677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 667*f**2*x + 625*f**2 wrt x.\nAnswer: 667*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11607098 is divided by 29?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cillikok. What is prob of sequence kkcl?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/11? (a) 11 (b) 9 (c) 0.054 (d) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2676056991.\nAnswer: 3, 892018997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-504764)\/66807 - (-1210)\/153.\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3091721 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 102 and 2754?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/2 (b) -173.467 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-14*(1 - -2))\/((-6)\/172). Let i be 0 - (c\/(-2960) + (-2)\/(-5)). Which is greater: -1 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -301*o**2*s**2 - 7*o**2 + o*s**2*z**2 - 1817*s**2*z - 3*z**2 wrt o.\nAnswer: -602*o*s**2 - 14*o + s**2*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 12220226 or 12220214?\nAnswer: 12220226","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -4 - (-2 + 8 - -4).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68373 is divided by 2618.\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**5 - 839*c**2 + 48 + 27*c**4 + 1007*c**2 + 96*c**3 + 2*c**5 + 144*c.\nAnswer: 3*(c + 1)*(c + 2)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(38) + (sqrt(76) + (sqrt(76)*5 - sqrt(76)) - sqrt(76))\/sqrt(2))\/sqrt(2).\nAnswer: -25*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -3*m + 98. Calculate w(19).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n + 2*m - 7 = 0, -126*n - 30 = -62*n - 73*n + 3*m for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5803710646 - -165.\nAnswer: -5803710481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -19 + 17.9. Let b = -6.1 - q. Sort -0.3, 0.3, b in ascending order.\nAnswer: b, -0.3, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/4*(-103488)\/(-3696)?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4455 and 825?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6*(-6)\/9 - -2. Let a be 25\/(-2)*(r + 4 + -4). Suppose 0 = 5*t + 4*l - l - 10, 5*t - 10 = -4*l. Solve a = t*w + 3*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the first derivative of l**2 + 80*l - 44. Let g be s(-5). Calculate the highest common factor of g and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**2 - 16*t + 57. Give c(8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -6412 (base 11) in base 14?\nAnswer: -313d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3068, 3058, 3048, 3038?\nAnswer: 3028","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z**2\/7 - 509*z\/7 - 4500\/7 = 0. What is z?\nAnswer: -500, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjjmmmm. What is prob of sequence jjjm?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2435\/2*(-8)\/(-10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y + 4*i - 18, 5*i = -5*y + 13 + 12. Let b be y - -2 - (0 + 3). Let m be -19*b\/(-17) - 1. What is the biggest value in 0.5, m, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the first derivative of 20*l**2 - 71 - 200*l - 2\/3*l**3. Let z(j) = 0. What is j?\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2820\/(-1175)*(-35)\/(-98)?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1975*v + 1979*v + 665 = 3919*v for v.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/443664 and 5\/72?\nAnswer: 443664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of a*r**3 - 566*a + 30400202*r**4 + 702 wrt r?\nAnswer: 3*a*r**2 + 121600808*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -653, -1582, -3063, -5372, -8785?\nAnswer: -13578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**3 - 3*v**2 + 3. Let n be w(3). Suppose -t - n = -3*j - 0*j, 6 = -2*t - j. Let y(s) = 5*s**2 + 3*s - 1. What is the units digit of y(t)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/591964 and -25\/124624.\nAnswer: 2367856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -42 in 1\/4, -2\/1019, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 84*q + 136 - 28 - 11 + 6 in the form x + t*q and give t.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.4 (b) 137.18 (c) 5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/(24664\/(-3520) - -7). Suppose -23*d = -45*d + f. Calculate the remainder when 32 is divided by d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 34*j. Are j and 2\/411 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(13) - sqrt(65)\/sqrt(20) - sqrt(39)\/sqrt(3)*-1.\nAnswer: 3*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -12 (b) -0.07 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -2*p**3 - 36*p**2 + 48*p + 314. Give n(-19).\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -75\/7? (a) -2.93 (b) 1\/5 (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 37, -0.02, -2\/3, -0.2, 9, 11, -15?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4684 - -6700. List the prime factors of u.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the third derivative of -p**7\/1260 - p**6\/240 - p**5\/60 - 5*p**2. Let i(a) be the third derivative of v(a). Differentiate i(c) with respect to c.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 395613.4 milligrams in micrograms?\nAnswer: 395613400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-71 + 208 - 1093*s - 137)*(0*s + s - 2*s)*(-4*s + s + s).\nAnswer: -2186*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 117 >= 110?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -5*a - 14. Suppose 4*d = -4*f + 30 - 54, -2*f + d = 0. Determine x(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/12 in -4, -1784, -279, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -534382 divided by -4.\nAnswer: 267191\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -5 + -3 + (10 - 4) - -3\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*i - 2 = 63 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 413121332?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 293322?\nAnswer: 2, 3, 19, 31, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*y**2 + 2*y**4 + 32*y**3 + y - 41*y**3 + y to the form v*y**4 + g + n*y**2 + o*y**3 + l*y and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 16781904390 rounded to the nearest 100000?\nAnswer: 16781900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 887640\/295924 - 3\/1. Let b = t + 19479113\/49567270. Let q = 1\/134 + b. Sort 2\/17, q, 4 in ascending order.\nAnswer: 2\/17, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*u - 47*u - 8950 = 0. Let s = u + 365. Solve 0 = -12*w + s*w - 5 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**3 + i**2 + i + 5. Let r be c(0). Suppose 1 + 5 = 3*z. Calculate the highest common factor of r and z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 3*l - 1. Let b be (-1)\/(1*l\/6). Let u be (0 - b)*(-22)\/4. Calculate the greatest common divisor of u and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -24 - -70\/3. What is the third smallest value in -0.1, 3\/4, t?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -110, -111, -112, -113?\nAnswer: -114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30) + -6*sqrt(1920))\/((1*sqrt(6) + sqrt(6))*2).\nAnswer: -47*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 413 is divided by 52?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2\/7 (b) -15 (c) -1\/3 (d) 11 (e) -1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 130 is divided by 53.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -109? (a) 2\/9 (b) -3\/137 (c) -0.4 (d) -43\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 65*r**2 - 308 + 309 + 0*r + 0*r.\nAnswer: 65*r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 5, p: 1, w: 8, l: 3, m: 3}. What is prob of sequence wm?\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + 17 + (-10 - (6 + (6 - 17)))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(468)*-3*-4.\nAnswer: 72*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001100000000010 - -101?\nAnswer: 1001100000000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3009 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 747224.2um to meters.\nAnswer: 0.7472242","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000074261057 to 5 dps.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 33112?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -448, -450, -448, -442?\nAnswer: -432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence atfa when four letters picked without replacement from fafazftaafzfataaaat.\nAnswer: 15\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-24)\/(-84) - (-31930)\/14. Suppose -5*f + 4694 = 3*v, 4*f - 2*v = 1483 + s. Let z = f - 531. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (330\/26)\/(-1) + (-1157)\/(-5696)*64.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 656*r - 656*r - 7*r**2.\nAnswer: -7*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0.4, -2\/7, -5, -2, -1666 in increasing order.\nAnswer: -1666, -5, -2, -2\/7, 0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*y - y + 3*y)*(2 - 2 - 2) - y + y - 2*y.\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-204)\/(-143) - 17696\/13904\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**2 + 11*u + 27. Determine h(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-10 - 9)\/(((-12)\/(-146))\/(-6))?\nAnswer: 19, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -13*l**3 + 13*l**2 + l. Let o(h) = -6*h**3 + 6*h**2 + h. What is 9*o(x) - 4*p(x)?\nAnswer: -2*x**3 + 2*x**2 + 5*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(125)*-1)**2 - (((sqrt(40)\/sqrt(4))\/sqrt(2))**2 - (-1 + sqrt(20)\/sqrt(4))))*1.\nAnswer: sqrt(5) + 119","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 668.861 litres in millilitres?\nAnswer: 668861","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 3*c + 164 = 0. Suppose 0 = 3*l - 7*l + 8. Suppose -3*k + 56 = l*d, -5*d + 42 = -4*d + 5*k. Calculate the remainder when c is divided by d.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17693 = 24*n - 8851. What is the greatest common divisor of n and 1738?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68 = -4*f + 2*f. Suppose 0 = 5*k - q - 0*q - f, 0 = 3*k - q - 22. Let s = k + -3. Solve 0 = -5*h - 5*g, h - 3 = s*h + g for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mb when two letters picked without replacement from bnzzmzzzznmmbbbzbbz.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/49 and -64\/55.\nAnswer: 2695","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -48 + 61. Suppose 0 = -17*f + p*f - 16. Let n(g) = -3*g**3 - g**3 - 9*g**2 + 3*g**3. Let u(j) = -j**2. Calculate f*n(d) + 36*u(d).\nAnswer: 4*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 108 + 109 + 12*z**2 - 321 + 104.\nAnswer: 12*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 2*t = 6. Let x(a) = -a**3 + 7*a**2 - 6*a + 12. Let c(u) = -4*u**3 + 28*u**2 - 23*u + 49. Let l(o) = t*c(o) - 9*x(o). Is l(7) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 140 + 40. Does 15 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -62, 4\/5, 3?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 10063 - -27119?\nAnswer: 37182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the third derivative of -m**4\/6 + 7*m**3\/6 - m**2. Is 17 a factor of v(-11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -607*b - 102*b + 705*b.\nAnswer: -4*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11 - 5. Find the common denominator of -8 + 5 + 163\/j and -53\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-10)*(40\/120)\/((-4)\/10)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:08 PM and 10:47 PM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*v - 3*v = -32 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (3078\/76 + -40)\/(1 + 18\/(-20))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 175826750*m**2 - 218010646*m.\nAnswer: 351653500","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 116074530?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**4 - 2020*v**3 + 1022117*v**2 - 2036162*v.\nAnswer: v*(v - 1009)**2*(v - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 777\/2072 + (-3)\/8. Let r = 67 - 42. Solve z = 4*d + d - r for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -104 (b) 68 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the first derivative of 162*h**5\/5 + 2471*h**3\/3 - 1060. Find the third derivative of o(g) wrt g.\nAnswer: 3888*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 10, h: 4}. What is prob of sequence jj?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are -4838454\/19 and -254654 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 110376550 to the power of 1\/6, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2763, -6 in increasing order.\nAnswer: -2763, -6, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 22 - 3. Let x = w - 15. What is the first derivative of 0*y**4 + 10*y**x - 11 + 1 wrt y?\nAnswer: 40*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99 = 16*n - 19*n, -23*o + 123*o + 2*n + 134 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the second derivative of 0*d**2 - d + 0 - 1\/6*d**3. Let u(t) = 5*t. Determine u(o(r)).\nAnswer: -5*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -15, 2*h - 7 = 4*h + 5*t. Suppose 5*n - 105 = h*b, -3*b + 77 + 63 = 5*n. Which is greater: n or 20?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-8)\/o**(-26))\/(o**(-25)*o*o*o*o**(-26)) assuming o is positive.\nAnswer: o**66","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/930 and -91\/17685748.\nAnswer: 265286220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*12\/(-21) + (-86190)\/65065?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -2*a**3 + a**2. Let n be r(-1). Suppose g = n - 7. Is (g\/6)\/((-20)\/4890) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b - 37 + 7 - 5 = -4*f + 13, -3*b = 0 for f.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c - 5 = -4*k, 9*k = 12*k - 15 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -11062463, -11062467, -11062469, -11062469, -11062467, -11062463, -11062457?\n\"Answer: q**2 - 7*q - 11062457","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0007331616025 to four decimal places.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.2 + -2.2. Let y = 33.5 + -33.4. What is the closest to -2\/5 in y, -0.4, q?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*11*((-42)\/(-231) + (-65)\/55).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(((-4)\/80)\/(424\/11660))?\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1110*z + 2223*z + 621 - 200 = 1112*z + 9*f, 2*z = -4*f + 192 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**3 - 4*a**2 + 4*a + 1. Let f be o(3). Suppose 4*j + z = 25, 3*j + 0*j = f*z - 5. List the prime factors of j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -347 - -854. Calculate the lowest common multiple of 936 and q.\nAnswer: 12168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide -18*(-1 - (-10)\/(-6))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -199151\/30 + 39186\/5. Let a = -1204 + c. What is the common denominator of 6\/12 + (-44)\/17 and a?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 21 = 4*t, 4*t - r = -10 + 1. Let l be t - 21\/(-9) - 2. Let v be ((-10)\/(-6))\/(1\/(-1 - -4)). What is the third biggest value in l, -0.4, v?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3965416 + 3965420.9999975. Let r = q + -5. What is r rounded to six dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*w**2 + 0*w + 0*w + (-2 - 3 + 6)*(-2*w + 2*w + 2*w**2))*(47 + 6 - 2) as h + t*w + g*w**2 and give g.\nAnswer: 204","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 1561 + 253 = 0. What is the hundreds digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*m**3 - 4*m**3 - 2*m**3.\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**3 - 5*u**2 - 6*u - 3. Let b be z(-4). Suppose 0 = 4*m + c - 41, -5*m - c = -0*c - 51. Suppose -50 + m = -b*r. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**2 + 5*y - 9. Let n(a) = 3*a**2 - 11*a + 17. Let c(w) = 3*n(w) + 7*v(w). Factor c(i).\nAnswer: 2*(i - 2)*(i + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.1 + 0. Let a be -1 - (-181)\/45 - (-344)\/(-1548). Which is smaller: y or a?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 - -8. Let o(y) = y**3 - 20*y**2 - 3*y + 64. Let n be o(20). Solve -a*k + n*k - 1 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-3) - (1 - -5).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -20453\/4089 at least -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 4)*(-4*m**2 - 6*m**2 + m**2)*(7*m - 8*m + 4*m).\nAnswer: 54*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-90)\/(-72))\/(2\/8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 14471 (base 14) to base 12\nAnswer: 25117","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 19*h*t**3 - 11*h*t**2 - 72*t**3 - 6*t**2 + 3 wrt t?\nAnswer: 114*h - 432","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00016208 to four decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p**(-4)*p*p)\/p*p\/((p**4\/p)\/p))\/((p\/((p\/(p*p**(5\/7)))\/p))\/((p*(p*p**(2\/5)*p)\/p)\/p)))**(-9) assuming p is positive.\nAnswer: p**(1359\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-171)\/342 - (-21)\/24.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -50c + -7?\nAnswer: -515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v - 3 + 9. Suppose 0 = -4*t + 3*i - 7, 1 = -4*t - i - 2*i. Let f = v - t. Solve 0*l = f*l - 15 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**2 + 7*b + 3. Let u be i(-6). Let l = u - -9. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the second derivative of 3*b**5\/40 - b**4\/2 + 5*b**3\/4 - 3*b**2\/2 - 13*b. Factor a(w).\nAnswer: 3*(w - 2)*(w - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/10 + 72\/5. Solve 0 = -4*n + n - s, 0 = -m + 5*n + 29 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes before 5:42 PM?\nAnswer: 8:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a + -1b?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2\/3))**(-49)*((a*a**(2\/3)*a)\/a)**(-1\/34)*(a**(1\/9)\/(a**(1\/3)*a))\/(a**(-2)\/a*a\/((a**(1\/7)\/a)\/a)) assuming a is positive.\nAnswer: a**(67555\/2142)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0 - -36139.14\nAnswer: 36139.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2165 - 10816\/5. Let -3\/5*i**5 + 16\/5*i - s*i**2 - 4\/5 - 13\/5*i**3 + 13\/5*i**4 = 0. What is i?\nAnswer: -1, 1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -2*k**4 + 9952*k**3 - 12390236*k**2 + 24750624*k - 12370338 = 0.\nAnswer: 1, 2487","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 379951623?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 10, 230, 4, 3\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ubmeewk. Give prob of picking 1 m and 1 b.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 300\/155 + (-2)\/1. Let o(x) = -49*x**2 - x + 2. Let h be o(1). Let b = 49 + h. Which is smaller: b or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1137 = 26*r - 4583. Is 4 a factor of 12\/((-6)\/r*-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -2*q + 2. Suppose 3 = -2*l + n + 11, 1 = -l - 2*n. Suppose -3*a = -l*v - 3, 2*v + 21 = -3*v - 3*a. Calculate c(v).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.5 times -74.4\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 12600 - -41?\nAnswer: 12641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 4*d**2 + 3*d + 2. Let o(h) = -11*h**2 - 9*h - 6. Let j(l) = -3*o(l) - 8*w(l). Solve j(v) = 0 for v.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6545\/115 + 1106\/12719\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1181119 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.8 - 1. Which is the third smallest value? (a) -2 (b) 1 (c) -2\/3 (d) r\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2805 + 1307 + 3941 - 2*h**2 as g*h + w + k*h**2 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 92230810?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*o - 8 = -18*o. Suppose 0 = -o*p + i - 2, 4*i - 6 - 2 = 0. What is the tens digit of (p + 1)\/(3\/111)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*c**4 - 107510*c**3 + 4170*c - 4?\nAnswer: 24*c**2 - 645060*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the third derivative of -65\/12*h**4 + 1\/4*h**5 + 10*h**2 + 1\/3*h**6 - 1\/42*h**7 + 0*h + 40\/3*h**3 + 3. Factor s(l).\nAnswer: -5*(l - 8)*(l - 1)**2*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ycyydydey. Give prob of picking 2 d and 1 c.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_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 i(v) = v**3 - 6*v**2 - 13*v - 13. Let b be i(7). Let g be b*(-313)\/(-6) + -1. Let j = 2854 + g. What is the common denominator of j and -61\/15?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 2392?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the third derivative of s**8\/2184 - 4*s**7\/1365 + s**6\/130 - 2*s**5\/195 + s**4\/156 + 3*s**2. What is f in b(f) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n - 1. Let y(j) = j + 3. Let h(r) = -4*d(r) - y(r). Let x be (-9 - -8)\/((-1)\/(-9)). Let t = x + 4. What is h(t)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -10 - (-9 + 20 + 11 + -9).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:30 AM and 3:46 AM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence icic when four letters picked without replacement from pctctititcpc?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 5*a - 20 = -0*a, 3*g - 2*a - 9 = 0. Suppose -3*z + 3197 = -g*f, 5*f + z + 3203 = -2*z. Round f to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -3*r - 8. Let c be v(-6). Suppose 8 = c*n - 6*n. Solve -5*q - 25 = -5*d, 5*q + 24 - 2 = n*d for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -33 or -23?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -282753 (base 11) to base 5.\nAnswer: -103132142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 415 - 421. Sort -4, -3, s in ascending order.\nAnswer: s, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-623)\/(-1869)*-3*(-3)\/24.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -4*c + 3. Let m(u) be the first derivative of -10*u**2 + 16*u - 67. Calculate 11*i(z) - 2*m(z).\nAnswer: -4*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2 + -1)*(-1 + 0). Let z = 0.07888 + 0.02112. What is the closest to -0.1 in z, 1.6, l?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -287*g - 49. Let b(u) = u**2 + 10*u + 26. Let z be b(-4). Let v(x) = -12*x - 2. Give z*m(t) - 49*v(t).\nAnswer: 14*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2333 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b + 5. Let t be q(-2). Let d(h) = h - 2. Let f be d(5). Solve -3*p = -f*a - 1 - 2, -3 = -t*p + a for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1335 to the power of 1\/2, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 112 + 90 = 0. What is the remainder when 57 is divided by o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -31432 + 4310221?\nAnswer: 4223234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-4*(sqrt(1584) + 5 + sqrt(1584) + 1)*-4)**2.\nAnswer: 2654208*sqrt(11) + 58724352","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 799749*y. Let f(i) = 26*i - 2. Determine f(q(j)).\nAnswer: 20793474*j - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**3 - 6*l**2 + 6*l - 4. Let o be q(5). Suppose 6 = -4*f + 5*d, 3*f + 4 + 12 = -2*d. Let n = -4 - f. Sort n, -2, o in descending order.\nAnswer: o, n, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -50\/239 - 6427\/18403. Let r = 455\/1749 - -2\/159. Let a = j + r. Which is greater: a or 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.103 + -0.097. Which is the second smallest value? (a) m (b) -0.07 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 113 divided by 334?\nAnswer: 113\/334","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:41 AM and 4:11 AM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/4 or 0.368507?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the third derivative of -1\/2*r**3 + 2*r**2 + 0*r**4 + 0 + 0*r + 1\/20*r**5. Differentiate i(n) with respect to n.\nAnswer: 6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 4*l + 4. Let k be h(-4). Let t = 19 + k. What is the remainder when 22 is divided by (6\/t)\/(7\/98)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the third derivative of -a**5\/180 - 2*a**4\/9 - 32*a**3\/9 + 16*a**2. What is t in n(t) = 0?\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and 82?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.4 and 52?\nAnswer: -72.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-3)\/b*(b**(-3\/4)\/b)\/b)\/(b\/b**1*b)**(2\/127)*((b\/(b**1\/b))\/b*b)\/(b**(-1\/2)\/b)*(b\/(b\/b**(-2\/7)))**16 assuming b is positive.\nAnswer: b**(-31425\/3556)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 23627 a multiple of 80?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 372868948.\nAnswer: 2, 389, 239633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -19*o. Put o, -8, 0.5, 5 in descending order.\nAnswer: 5, 0.5, o, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 2*h - 70. Let c be l(21). Let b = -21 - c. Solve 0 = -5*o + 2*v + 11 + 7, -b = -3*o + 5*v for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes before 8:27 PM?\nAnswer: 10:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -2699 * 0.5386\nAnswer: -1453.6814","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 1 + 2)*(z - 5*z + 3*z) + (3 - 3 - 4)*(6 - 9 + 6)*(-4*z - 4*z + 4*z) as i*z + m and give i.\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o - 36 = -6*f - 2*f, 0*f - 6*f = -2*o + 52 - 94 for o.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**2 - 22*d + 44. Determine r(20).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.352 - -0.452. Which is the second smallest value? (a) -3\/2 (b) y (c) 2\/149\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-69 + 65 - -2)*(-19)\/(-2)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * -122.8\nAnswer: 24.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.083 to one decimal place.\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*y - 3*i = 5*y + 42, 2 = -3*y - 5*i. Suppose 202*q - y = 199*q. Solve -14 = 2*a + q*t, 2*t = 4*t + 4 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(6\/13)*x*x**(-5))**(39\/2))**36 assuming x is positive.\nAnswer: x**(-2484)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1 or 0.274?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -70 + 69.5. Sort -2, 4, 0, h.\nAnswer: -2, h, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -226 - -101. Let l = f + 126. Which is smaller: 2\/33 or l?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 2, x: 6, d: 3, z: 4, y: 1, n: 4}. Give prob of picking 2 j and 2 x.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 (base 9) in base 5?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjxxjmxxxjxmkxx. What is prob of picking 1 x, 1 k, and 1 m?\nAnswer: 16\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 11847, 15595, 19339, 23079, 26815?\n\"Answer: -2*u**2 + 3754*u + 8095","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -4*c**2 - 66 + 8*c + 56*c**2 + 26 - 9. Let w be x(-6). What is the highest common divisor of w and 71?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express u + u + u + 18*u - 3*u - u + (-2 - 3 + 3)*(-3*u + 3*u + 2*u) as b + k*u and give k.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1940, -1, -1\/4, -3.\nAnswer: -4, -3, -1, -1\/4, 1940","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -5*u - 13. Let k(n) = 9*n + 25. Let o be 6\/27 + 52\/9. Let s(y) = o*k(y) + 11*l(y). Let i be (-1 - (-1 - 0))\/(-2). Give s(i).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) 466 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**3 + 15*d**2 + 16*d + 13. Suppose 2*u + 2*i - 22 = 0, -19*i = 3*u - 14*i - 23. Determine l(u).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*s**3*v - 1375638*s**2*v - s**2 + 219136*v - 4 wrt s.\nAnswer: -6*s**2*v - 2751276*s*v - 2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**3 - 5*d**2 + 6*d - 7. Let w be x(4). Put 0, -3, w in ascending order.\nAnswer: -3, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1718267, 6873123, 15464549, 27492545, 42957111, 61858247, 84195953?\n\"Answer: 1718285*j**2 + j - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1148172 divided by -652.\nAnswer: 1761","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1*((-4)\/1 - -3). Let b = 1 - f. Suppose b = -p + 5. Solve -p*l = -l - 4*m - 8, -8 = -4*l + 2*m for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -49*t**3 + 47*t**2 + 172*t + 126. Let b(x) = -169*x**3 + 141*x**2 + 514*x + 379. Let f(o) = -2*b(o) + 7*g(o). Factor f(m).\nAnswer: -(m + 1)*(m + 2)*(5*m - 62)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1994869 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*y + 8*y + 14*y**2 - y)*((-4 - 2 + 4)*(3*y + 4*y - 6*y) + y - 5*y + 2*y + y + y - y).\nAnswer: -42*y**3 - 3*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -11 divided by 19460\nAnswer: -11\/19460","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 191000211*x**3 + 319004952 wrt x.\nAnswer: 573000633*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.3 (b) -22 (c) -0.3 (d) -3 (e) -24 (f) 4301 (g) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11479285 times 0.14?\nAnswer: 1607099.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*n**2 + 48*n**2 - 20*n**2.\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4 + (2 - 3) + -3. Let x be (3 + -1)\/(-2 + z). Is x != -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2533046 a multiple of 717?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/2*(-2)\/(-60)*-4.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i - i - i)*(1 - 5 + 2 + 2 - 1 + 1 + (3 + 0 - 7)*(4 - 4 + 3))*(5*i**2 + 0*i**2 - 4*i**2)*(-2*i + i + 3*i).\nAnswer: 48*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5056 divided by -2.\nAnswer: -2528","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1183?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 greater than -67?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**2 + j - 1. Let i(t) = -8*t**2 - 8*t + 6. Let p = 0 + 1. Let c(m) = p*i(m) + 10*u(m). Determine f, given that c(f) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -27460 + 54974. Does 119 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2088 - -2051) + -3 + 2 + (-2 - 1).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 420 is divided by 307.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*g = 11*g + 31*g - 1208 - 976 for g.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 647.052 + -647. What is the third biggest value in 2, -1\/23, -0.2, 0.4, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -33\/4*f**2 - 177\/4*f + 33\/4*f**3 - 27 - 3\/4*f**4 = 0.\nAnswer: -1, 4, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*w - 27*w = 864. Put 3, 2, w, -5 in descending order.\nAnswer: 3, 2, -5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 34 - 75957?\nAnswer: -75923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (111*c - 8 + 13 - 5)*(3*c - 3*c - c) in the form o*c + i + l*c**2 and give l.\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 33 - 35. Suppose r + 7 - 2 = 0. Let y be (-1 - -2)\/(0 + r). Which is the biggest value? (a) p (b) 5 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and -4611.5.\nAnswer: 9223","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13 - 14.7. Let m = q - -0.7. Which is the third smallest value? (a) 3 (b) -0.1 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 417856, 417845, 417838, 417835, 417836?\n\"Answer: 2*m**2 - 17*m + 417871","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = 4*f - 30, 2*k + f = 5*k - 35. Let n be 92\/(-12) + 2\/(-6). Let z = k + n. Let s(v) = -2*v**2 - 14*v - 14. Let y(t) = t + 1. Give z*s(x) + 28*y(x).\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/21*(-62)\/((-8928)\/(-14448)).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 - (-26 - -9)) + -6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -152*w + 911*w - 155*w - 164*w - 133*w - 165*w - 156*w.\nAnswer: -14*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 126831*k**5 + 4*k**2 - 14483323*k.\nAnswer: 2536620*k**3 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(495)*1)\/sqrt(5).\nAnswer: 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 - -2. Suppose -7*o - 2*o + 36 = 0. Let r(i) = -2*i. Let m be r(-2). Solve o*t = -m*u - t - 25, 4*u - 3*t - 15 = v for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2764 = 170*h + 2417 - 4359 - 4984 for h.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 20 = 5*v, -8*r + 7*r - 4 = -5*v. Let s be 96\/30 - (v - (-3)\/15). Solve 9 + 6 = -s*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nxnuxuijuuxunjxu. What is prob of picking 3 u?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 61 - 50. Let y = -350 + 363. Calculate the remainder when y is divided by s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2929867 times 1?\nAnswer: -2929867","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/(-2))\/(61 - 62). Suppose -2*k + 3*b = 6*b + j, 4*b = -3*k - 1. Let y(s) = 4*s**2 + s - 1. What is y(k)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 546866 - 546864. Let -2*u**p - 4\/7 - 18\/7*u = 0. What is u?\nAnswer: -1, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 288\/11 - 12\/66. Let w(k) = -2028 + 9*k + 1017 + 1012. What is the units digit of w(s)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 517 (base 14) to base 11\nAnswer: 830","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*w = 14267 - 14019 for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2771*v - 1486*v + 345*v + 2600 + 2102*v - 189 wrt v?\nAnswer: 3732","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1306 - 710. Let k = w - -100. Suppose -k = -3*t - 3*t. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 76*q + 32*q - 104*q.\nAnswer: 4*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6\/287 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*x**2 + 2*x - 5*x**2 + 4*x**2)*((0 + 1 + 0)*(4 - 2 - 5) + 16 - 3 + 168) in the form a + n*x + s*x**2 and give n.\nAnswer: 356","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes after 7:28 PM?\nAnswer: 10:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 - -20905b4?\nAnswer: 20905ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 73 (b) 2\/21 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -155\/11533632 and 32\/165.\nAnswer: 57668160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 3 = -22. Suppose 6 = m*u - 9. Suppose u*t - 33 = 213. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + -31 - (13 + -26).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -3*p. Let x(y) = -2*y - 8. Let h(a) = 2*a**2 + 10*a + 60. Let l(z) = -h(z) - 5*x(z). What is l(o(k))?\nAnswer: -18*k**2 - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:20 AM and 2:09 AM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 2*i**4 + 114*i**3 + 298*i**2 - 1434*i - 1620 = 0?\nAnswer: -54, -5, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(54)\/(1*sqrt(9)))\/(sqrt(6)\/sqrt(2)*-4) - ((sqrt(22)\/(sqrt(11) + sqrt(1584)*2))**2 - (sqrt(10)\/(sqrt(10)\/sqrt(2)) + 2)).\nAnswer: 1248\/625 + 5*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -2*v**2 + v. Let c = -11 - -12. Let r(x) = 2*x**2. Let w be r(c). Determine n(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -5 - 2 + 7 - 13*m - 2. Calculate the least common multiple of f(-1) and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -9*k**2 + 3*k + 3. Calculate w(-1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 193\/5 - 39. Let t = 3.39 - -0.21. Let q = t + 0.4. Put 2\/5, f, q in descending order.\nAnswer: q, 2\/5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -52 + 42*k + 43*k + 30 + 26 - 86*k. Let i(s) = -11*s. Determine y(i(w)).\nAnswer: 11*w + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3314231 to the power of 1\/2, to the nearest integer?\nAnswer: 1821","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**2 + 10*o - 5. Let k be i(10). Let c be (12\/(-15))\/((-1)\/k). What is the units digit of (2 - c)*(-5)\/(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 845 is divided by 76.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pppxgjjpgjjxxxp. Give prob of sequence xxgp.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 45*u - 54. What are the prime factors of c(4)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84 = -18*h - 30. Factor -8\/5*p**2 + 28\/5*p - 4\/5*p**h - 16\/5.\nAnswer: -4*(p - 1)**2*(p + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00688 to 3 decimal places.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*n**2 + 2*n**2 + 2*n**2 + (n - 4*n + 4*n)*(-28*n - 416 + 416).\nAnswer: -27*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 12 - 9 + 9*y - 4 - 6. Let o(t) = -t. Give o(x(j)).\nAnswer: -9*j + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 112 and 40705?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4371483 (base 10) to base 5.\nAnswer: 2104341413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:40 PM and 3:32 AM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 4296425607?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1206918 and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i. Let u be l(-7). Suppose -131*p + 6966 = 58*p + 69*p. Solve -5*d - p = -u for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 196 and 32?\nAnswer: 1568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 289649557?\nAnswer: 23, 317, 39727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 43348\/3 - 14449. Factor 1\/3*r - 2\/3 - m*r**3 - 1\/3*r**4 + r**2.\nAnswer: -(r - 1)**2*(r + 1)*(r + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:23 PM and 6:43 AM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2133?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -116\/5, -1\/11, 0, 65?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccvc when four letters picked without replacement from {c: 7, v: 1}.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 2 m when four letters picked without replacement from {m: 2, j: 4, c: 6, f: 3, k: 2}.\nAnswer: 3\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 77814870 to the power of 1\/3, to the nearest integer?\nAnswer: 427","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 22918 to the nearest ten.\nAnswer: 22920","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 6, t: 1, p: 5, y: 6}. Give prob of sequence pyop.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 33585636 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1642937 is divided by 85?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(3\/7)*d**12*d**12*d\/(d\/(d*(d**(-2\/21)\/d)\/d)) assuming d is positive.\nAnswer: d**(70\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes before 9:45 PM?\nAnswer: 7:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r + 2. Let w be m(-1). Let q = -49 - -51. Which is the nearest to w? (a) 5 (b) 1\/9 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 58550 - 30211813\/516. Which is smaller: m or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z = -3*z - 4 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**2\/3 - 17146180*i\/3 + 11430784.\nAnswer: 2*(i - 8573088)*(i - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 56015381, 112030765, 168046149, 224061533, 280076917?\n\"Answer: 56015384*x - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the second derivative of -i**6\/30 - 28*i**2 + 2*i - 52. Find the first derivative of c(k) wrt k.\nAnswer: -4*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -302*i - 24*i + 1015 + 2297 + 11358 = 0 for i.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -11c69 + 4?\nAnswer: -11c65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -37, -44, -49, -46, -29?\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 100*l**2 - 20*l + 13. Is q(10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -20*l + 1. Let g(d) = -273*d + 14. Calculate -14*a(k) + g(k).\nAnswer: 7*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 7*l - 19. Suppose 95*u = 96*u - 3. Let c = 6 + 1. What is the least common multiple of m(u) and c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -286 - 114 - 14*b**2 + 58*b**2 - 19*b**2 - 2*b**2 as g*b**2 + q*b + j and give j.\nAnswer: -400","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**20\/((u*u**(-4))\/u) assuming u is positive.\nAnswer: u**24","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 513367678 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*d + 77*d - 462. Factor d*m**2 + 98 - 2\/7*m**3 - 42*m.\nAnswer: -2*(m - 7)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1, -63 in decreasing order.\nAnswer: 1, -5, -63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -2, -3, -23?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*h + 46*h = 30, -q - q - 3*q - 4*h = -60 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is next in -5182, -10362, -15542, -20722?\nAnswer: -25902","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -37*b**2 + 1815*b - 59. What is s(49)?\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -29, -318, -625, -950, -1293, -1654?\n\"Answer: -9*q**2 - 262*q + 242","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77039?\nAnswer: 41, 1879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02623868 rounded to 3 dps?\nAnswer: 0.026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 - 8. Let o = n - -1.7. Which is the third smallest value? (a) 0.4 (b) 1\/10 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 11*f**2 - 1 + 2 to the form g*f + s + k*f**2 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2 - -17)\/((-1)\/(-1)). Let l = 719 + -614. What is the greatest common factor of l and o?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*d - 2*d - 5*d)*(d - 4 + 4)*(-2 + 3 - 2)*(-3 + 0 - 9 + 14 + 112 - 25 + (3 + 1 - 2)*(1 + 0 + 0)) in the form z + i*d + g*d**2 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -2*i + 6*d - 4*d, -4*d = -5*i - 22. Let t be 1 + 0 - (3 + i). Solve -2*n + t = -8 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-520)\/(-13780) - (-16672)\/7632\nAnswer: 20\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 237*g = 163*g - 888 for g.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83*n = 9*n + 148. Sort 5, -2, 1, -3, n in decreasing order.\nAnswer: 5, n, 1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -5*s**2 + 150*s = 0?\nAnswer: 0, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (878 - 878 - 14*z)*(405*z**4 + 447*z**4 - 925*z**4).\nAnswer: 1022*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.8 - -3.1. What is the second biggest value in -2, f, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 19 + -13 + 27 + -66?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add 6127 and -64037.\nAnswer: -57910","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 s, 1 k, and 1 o when four letters picked without replacement from kszkzkomoz?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 20154623 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 168 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -589, 4, -4, 0, 3, -9, -49 in increasing order.\nAnswer: -589, -49, -9, -4, 0, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(6)\/(1*sqrt(2)))**2 - ((1*sqrt(36))\/sqrt(12))**2 - (-1 + sqrt(147) + -2 + sqrt(147) + sqrt(147))).\nAnswer: -21*sqrt(3) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -3*o + 5. Let j(b) = 10*b - 16. Let d(i) = 5*j(i) + 16*v(i). Let r = 0 + 2. Let c(k) = -2*k**2 + k**r + 2*k**2. Determine c(d(a)).\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**2 - i. Let v = 40 - 39. Let s be c(v). Solve x + s*x = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18473*o - 9367*o - 9108*o.\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 66229.2ml?\nAnswer: 66.2292","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -55100, -55099, -55098?\nAnswer: -55097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + 5. Suppose 3*k + 27 = 5*n + 2*k, -z*n + 3*k = -31. Suppose -t + n*t = 80. Is 10 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -3*z**2 - 7*z + 3. Let n be r(-2). Let y be -5 + n - 4\/(-50). Put 5, y, 4, 0.5 in decreasing order.\nAnswer: 5, 4, 0.5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 27*b**2 - 5 + 4 + 47*b**2 to the form z*b + v + i*b**2 and give i.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -275*-18.91\nAnswer: 5200.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -576 by 65.\nAnswer: -576\/65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 2*l**3 - 49*l**2 - 38*l + 336. Calculate r(25).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m + 2. Calculate i(7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve p = -2*o - 9, 8*o = 12*o + 12 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05819926 rounded to two dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 43*h**2 + 10*h + 32. Let t(x) = -21*x**2 - 5*x - 16. Let s(i) = -2*l(i) - 5*t(i). Let k be s(6). Let d be (-1805)\/k + (-5)\/(-2). Is 1 <= d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fmf when three letters picked without replacement from {f: 18, m: 2}?\nAnswer: 17\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(704) - sqrt(704)*2).\nAnswer: -8*sqrt(11) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2 + 2)\/(-1)*(-3 + 4). Suppose -111 = -l - y*l - 5*m, -5*m - 494 = -4*l. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q**2 + q**2 + 2*q**2)*(-3 + 3 + 2*q) + (0*q**3 - 3*q**3 + 18*q**3)*(-5 + 0 + 4).\nAnswer: -13*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -293*u. Let m(c) = -4*c. Give m(z(k)).\nAnswer: 1172*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.5 - 11.5. Let l = u + 12. Let z = -3.49 + 3.49. What is the closest to z in -1\/4, 1, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1, 9, 17, 25?\n\"Answer: 8*u - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**2 + c - 107. Determine a(-10).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 84.2 - -3.8. Let o = m + -89. What is the nearest to -5 in 1\/5, -0.2, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -246*r + 3392. Calculate n(12).\nAnswer: 440","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 - -3. Suppose 0 = w, h + w + x + 4 = 0. Let u be (-60)\/h - (-1)\/2. What is the highest common factor of u and 72?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9657 is divided by 16.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 17043?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 22140 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 248790 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 68939 from -3761.\nAnswer: -72700","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 56*a - 1704 - 144. Solve a*j = 12*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1389 - 752. List the prime factors of v.\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a = 0, -2*h + 4*a = -0*a - 10 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -6a (base 13) in base 4?\nAnswer: -1120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**2 - 85*c + 3313. What is p(-114)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 15912\/(24\/3) + (-20)\/(-4) a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f*f*f*f**(2\/5))*((f*f*f\/(f\/f**(-14\/13)))\/f)\/f*f*f)**(26\/7) assuming f is positive.\nAnswer: f**(-192\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-4))\/((-42)\/16).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 5*b + 5. Let t be c(-4). Let g be (-65)\/t - 2\/6. Let o be -6*((-17)\/2 + 2). Solve n = -a - 2, g*n - o = 5*a - 2 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 - 5. Suppose -148 = n*y - 6*y. Suppose 103 = z - y. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -22435 - 17a?\nAnswer: -225b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.017617*-4.2.\nAnswer: 0.0739914","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.14 + 5.14. Which is the third biggest value? (a) v (b) 2 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21 - (29 + -15 + 10)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 1 x when three letters picked without replacement from {e: 3, x: 2, u: 1, w: 7, r: 1}.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**3 + 9*j**2 + 12*j - 10. Let s be g(-7). Suppose 379 = -3*z + s*z. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2011 + 326?\nAnswer: 2337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1140)\/1824)\/(45\/4).\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.5 + 1.5. Let n be (-3)\/4*(0 - 5). Let g = 113\/28 - n. Sort -0.1, g, y in ascending order.\nAnswer: -0.1, y, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -3*y**2 - y. Suppose 10*l + 1117 - 457 = 0. Let v = -67 - l. Let z(d) be the first derivative of d**2\/2 + 6. Determine v*o(n) - z(n).\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let y = 37 + -35. Solve 4*k - y*k - 3*l = -13, -l = k - 1 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 11) to base 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 1553*i**2 - 11 + 2 - 2*i**3 + 50917*i**2.\nAnswer: -2*i**3 + 52470*i**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 29220045 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 44*g**2 + 100*g + 69. What is the least common multiple of 143 and b(7)?\nAnswer: 32175","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z - 3*z + 3*z)*(-126*z**3 - 4*z**3 - 9*z**3) - 10*z**4 + 3*z - 3*z.\nAnswer: -149*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2802 + -2738. Let s be 2*((-28)\/(-8) + -3). Suppose -q = -5*m - s, -3*m + 2*m - 17 = -3*q. Calculate the remainder when d is divided by q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2171 at most as big as -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.17662 - -0.1691. Round u to 3 dps.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7\/5 in 6\/23, 0.3, 5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the third derivative of 7*r**5\/5 - r**3\/6 + 6*r**2. Let m be y(1). Suppose -5*t + 22 + m = 0. Does 7 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8736 and 1871058?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 313023 - 111300313?\nAnswer: -110321230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59 = 69976*f - 69980*f - 3*k, 1307 = -117*f - 4*k for f.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -91 - 87552\/(-960) - ((-24)\/(-50))\/((-2)\/(-80))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -3\/8 (b) -11 (c) -0.5 (d) -1.9 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve n = 5*q + 18, n - 5*n = 5*q + 3 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -29, -73, -189, -413, -781, -1329, -2093, -3109?\n\"Answer: -6*f**3 - 2*f - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) 2\/1427 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-x + 0*x + 3*x)*(0*x + 3*x - 2*x)*(23346 - 23346 + 59*x) in the form y*x**3 + h + o*x**2 + j*x and give y.\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1532 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -126.3 to the nearest integer.\nAnswer: -126","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbbn when four letters picked without replacement from {n: 3, b: 8}?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1866 (base 10) in base 14?\nAnswer: -974","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 2*s**4\/7 + 6*s**3\/7 + 4*s**2\/7 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1\/9 (b) 0.118 (c) -3\/28\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.5, 0.8, 1\/8, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -802350, 3, -1.\nAnswer: -802350, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56 + 792 + 4*m - 4*m - m.\nAnswer: -m + 848","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -29574 (base 16) to base 2\nAnswer: -101001010101110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 428, 1764, 4004, 7148, 11196?\n\"Answer: 452*d**2 - 20*d - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 2*b. Let a be c(3). Suppose -2*w + a = 4. Does 33 divide 2\/w + 111 + 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, o: 4, w: 2}. Give prob of picking 2 o and 1 w.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 192, 213, 254, 321, 420, 557, 738, 969?\n\"Answer: p**3 + 4*p**2 + 2*p + 185","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and 1.9916.\nAnswer: 0.9958","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (-2 + -1 + 5).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 21\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -2*f**2. Let p(m) = 13*m**2 + 3*m. Determine i(p(y)).\nAnswer: -338*y**4 - 156*y**3 - 18*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -16*a**4 + 5*a**4 + 8*a**4 - 10*a**4 + a**3 - a**3 + (-a**3 + 6*a**3 - 3*a**3)*(0 - 2*a + 0) - 12*a**2 + 12*a**2 + 5*a**4.\nAnswer: -12*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k**3 + 93484*k**2 + 546250380*k + 546156900 = 0. Calculate k.\nAnswer: -11685, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4145 + -36.4.\nAnswer: 4108.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/75 of a millennium in months?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85 - 83 = 3*k. Let j be 228\/(-7)*4*k\/16. Calculate the highest common factor of j and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10716?\nAnswer: 2, 3, 19, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 16.3+-45462.09\nAnswer: -45445.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1914, 7658, 17232, 30636, 47870, 68934, 93828?\nAnswer: 122552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t = 4*c - 4, 20*c - 19*c - 2*t = 16 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -53929, -58541, -63153, -67765?\n\"Answer: -4612*n - 49317","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4 + 264\/(-55))\/(0 - (-5)\/25). Let c(q) be the second derivative of -q**5\/20 - q**4\/2 - q**3\/2 + 2*q. Give c(v).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 2383*j + 2793. Is p(8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -19*v**3 + 30*v**2 + 3*v + 6. Let x(y) = y**3 + 5*y**2 - y + 1. Determine -m(q) + 6*x(q).\nAnswer: 25*q**3 - 9*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.6 take away -0.28?\nAnswer: -3.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2\/5, 9, -2, -0.1?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qivzu. Give prob of sequence uzvq.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -3*r + 2*r - 11678, 2*z = 0. Let b = r - -52078. What is b rounded to the nearest 1000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11101100101 (base 2) in base 4?\nAnswer: -131211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 40 = -7*v. Suppose 0 = 2*g - 0*g + 4. Put 5, g, v in decreasing order.\nAnswer: 5, v, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 - 31302333?\nAnswer: -31302331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes after 5:52 AM?\nAnswer: 8:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9088)\/(-9792)*-34*(81\/(-12))\/(-9).\nAnswer: -71\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -161966450 divided by 111701.\nAnswer: -1450","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -c**5 + c**5 - 2*c**5 + (-1 - 2*c + 1)*(-1 + c**4 + 1) + 3*c**5 - 4*c**2 + 4*c**2 + (136*c - 136*c - 28*c**2)*(534*c**2 - 534*c**2 + 30*c**3).\nAnswer: -841*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5265, 10935, 16601, 22263, 27921, 33575?\nAnswer: 39225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45 divided by -29.\nAnswer: -45\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fifg when four letters picked without replacement from ffgvfgvhivivvhvg.\nAnswer: 3\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 891*i - 713*i = -1206*i - 62280 for i.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add -51224 and -1.248451.\nAnswer: -51225.248451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 - -354330?\nAnswer: 354324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-9)\/(42498\/(-18892)) - 4. Let w = r + 60587\/14166. What is the common denominator of w and 73\/16?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 772*k**5*x**2 - 2*k - 529*x**2 wrt k?\nAnswer: 15440*k**3*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 + 0)\/((-10)\/(-30)). Suppose -i*w + w - w = 0. Which is the closest to 1? (a) 0.2 (b) w (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -41017354\/2925 - -126208\/9. Find the common denominator of 62\/65 and p.\nAnswer: 975","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5 - 1 + 4 - 2*v + (14 - 11 + v + 2*v)*(-3 + 4 + 3).\nAnswer: 10*v + 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -8*k**2 + 75*k + 4. Let o(v) = 6*v**2 - 50*v - 3. What is 5*g(i) + 7*o(i)?\nAnswer: 2*i**2 + 25*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.1 + 0.2. Let l = 0.3 - h. Let j be 33\/12 - 2\/1. Sort -1, j, l.\nAnswer: -1, l, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = j - 12, 5*j - 4*d - 45 = d. What is the least common multiple of j and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -473832, -473846, -473860, -473874?\nAnswer: -473888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the first derivative of 2*m**5\/25 - m**4\/10 - 2*m**3\/15 + m**2\/5 + 6. Factor k(o).\nAnswer: 2*o*(o - 1)**2*(o + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k**2 + 648 - 1826 + 3817)*(4 + 0 + 7).\nAnswer: 11*k**2 + 29029","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 25.662 and -0.76?\nAnswer: -19.50312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-10)*p*p*p**21*p*p*p)\/(p**(2\/3)\/p**(-1\/5)) assuming p is positive.\nAnswer: p**(227\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:09 AM and 11:48 AM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -632436 - -0.04?\nAnswer: -632435.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-6\/7)*o\/(o*o**14) assuming o is positive.\nAnswer: o**(-104\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 3825 = -34*y + 13785. What is the remainder when 1343 is divided by y?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = q - 23 - 13, 8*q = -4*l + 360. What is the remainder when 2809 is divided by q?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 8557*c**3 - 5*c**2 - 12*c + 7. Let v(g) = -17116*g**3 + 9*g**2 + 20*g - 12. Calculate 5*q(j) + 3*v(j).\nAnswer: -8563*j**3 + 2*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -94*v**2 + 364*v**2 - 93*v**2 - 85*v**2 - 87*v**2.\nAnswer: 5*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-104)\/(-260))\/((-3)\/(60\/(-14))).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -132, -148, -190, -270, -400, -592, -858?\nAnswer: -1210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45938 is divided by 494.\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 307 - 13. Let z = b - -47. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 651, 1170, 1687, 2202, 2715?\nAnswer: 3226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence azi when three letters picked without replacement from zia?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7903 and 10836142?\nAnswer: 1129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (17 + -16 - (-2 - 4)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1351867 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 13*q**2 - q - 2. Let n be w(-1). Let f(j) = 578*j**2 + n*j + 1935*j**2 - 545*j**2 + 1030*j**2. Let k be f(6). Round k to the nearest 10000.\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-66*(-10)\/120))\/((-2)\/(-2))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 17*n**3 + 5*n**2 + 29*n - 5. Let c(u) = 9*u**3 + 2*u**2 + 14*u - 2. Let w(d) = -5*c(d) + 2*o(d). What is the second derivative of w(a) wrt a?\nAnswer: -66*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 - (-22)\/(-4))*-2. Suppose -2*f - 3*v + 116 = -a, 2*v - 65 = -f. Suppose -27 + 87 = 12*i. What is the highest common divisor of f and i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5250 + 5247. Which is the second smallest value? (a) -14 (b) p (c) 26\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1023304 (base 5) to base 6\nAnswer: -212121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -105*w**2 - 208*w + 1. What is b(-2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, -0.6, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 1506\/4*1\/((-57)\/(-38))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-16)\/3 + 8\/6. Let k be 2\/(-8) - 53\/d. Let b = 54 - k. Is 18 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72*h + 53*h = -95. Solve -r + 13 = -5*n - 12, -4*r = h*n + 25 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.4 + -0.3. Suppose 242 + 556 = -430*q - 62. What is the nearest to b in q, 0.2, 1, 0.4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21173*(-93)\/51894 + 2\/36.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*-2)\/((-286)\/(-1573))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/2203 less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**3 + 3*z**2 - 4. Let g be w(3). Let l = 5 + g. Are l and -2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74 = -6*l - 518. Let u = l + 76. Suppose -q - 5*m + 29 = 0, 3*m = -4*q + 22 + 9. Sort u, q, -5 in decreasing order.\nAnswer: q, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4.7 + -1.7. Which is the closest to 0? (a) z (b) 1\/8 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 53364?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 14*(2 - (-36)\/(-21)). Let q(a) = a - 11. Let k be q(j). Is k greater than -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 869, 602, 159, -460, -1255, -2226?\n\"Answer: -88*q**2 - 3*q + 960","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*b**4 - b - 5*b**2 - 10*b**4 - 2*b**2 - 2*b**3 to the form q + d*b**3 + x*b**4 + z*b + h*b**2 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**3 + 1368*d**2 + 311904*d + 23704704.\nAnswer: 2*(d + 228)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (68 - 193) + 55 + 13.\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/34573 (b) -1 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000001999 to 7 decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 877 times -3\nAnswer: -2631","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -140 + 141. Calculate the highest common factor of 7 and m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -676*l - 1648 - 5112 = 0 for l.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + ((4*(sqrt(275) - -2*sqrt(275)) - sqrt(275)) + sqrt(275) + ((sqrt(275) + 0)*6 - sqrt(275)))*-4*-6)**2.\nAnswer: -20400*sqrt(11) + 45777625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 26315 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + 2*h = 13, -2*z - z = 3*h - 15 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -2\/13, 2\/15, 1.7 in ascending order.\nAnswer: -2\/13, 2\/15, 1.7, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1165, -3907, -9923, -20851, -38329, -63995?\nAnswer: -99487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1676696636?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -56 - -37.5. Let s = 0.5 - l. Let p = 18.99999968 - s. What is p rounded to 7 decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4610094 to the nearest integer?\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 945901 is divided by 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -320, -298, -246, -152, -4, 210, 502?\n\"Answer: 2*x**3 + 3*x**2 - x - 324","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from mmmmmmmmmm.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (1281*n + 2 - 1205*n - 2)*(-140*n - 43*n + 324*n) as t*n + l*n**2 + i and give l.\nAnswer: 10716","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9636, 9953, 10476, 11199, 12116, 13221, 14508?\nAnswer: 15971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the first derivative of -c**5\/60 - c**4\/12 - c**3\/6 + 3*c**2\/2 + 1. Let r(o) be the second derivative of s(o). Factor r(n).\nAnswer: -(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p. Let f be q(3). Solve -2*r - 6 = -f*c, 2 = c + 2*r + 2*r for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 1)*(28 - 4963*u + 3 - 31).\nAnswer: 4963*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes after 10:22 PM?\nAnswer: 8:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 v when two letters picked without replacement from ekkcccveoqe.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9895672*l**2 - 43975305*l?\nAnswer: -19791344","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -316.4 + 317.1. Is 4\/5 equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 870987 to the nearest 10000.\nAnswer: 870000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 294277 = 110*q - 151333. Is 14 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 6*y**2 - 42. Let d(l) be the first derivative of 2*l**3\/3 - 515. Determine n(d(g)).\nAnswer: 24*g**4 - 42","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3043132, -6086237, -9129342?\nAnswer: -12172447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 - 1. Let a = 698890.9999968 - 698894. Let m = d + a. Round m to six dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 216*x**2 + 124*x**2 - 333*x**2.\nAnswer: 7*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2605384?\nAnswer: 2, 325673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 - (2 - (-30)\/21). What is the second smallest value in -1\/2, k, 3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h + 5*g - 5, 0 = 2*h - 3*h - 5*g - 7. Suppose -2*p + 175 = h*p. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(6) - sqrt(6))*2)\/(-2*sqrt(192)).\nAnswer: sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 30536377 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*c = -14*c - 144. What is the remainder when c - -2 - -4 - 0 is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**2 + 40*v + 38. Let n be d(-39). Let w(b) = -9*b**3 + 2*b + 1. What is w(n)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5001579 kilograms in milligrams?\nAnswer: 500157.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1423464 divided by -711732.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c + 2*h - 16 = 0, -98*c = -93*c - 3*h - 9 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*y**2 + y**2 + 0*y**2)*(-2913*y + 150*y - 2638*y) to q*y + b*y**3 + n*y**2 + g and give b.\nAnswer: 5401","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/45 + 2\/(-6). Let c = -0.95 - 0.05. Let r = c - -0.6. What is the biggest value in m, 1\/5, r?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 2*g**2 - 16*g**4 + 6*g**4 + 31*g**4 - 85*g**4 + g in the form l + f*g**3 + b*g + c*g**4 + x*g**2 and give c.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one fifth of a kilometer?\nAnswer: 20000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-58)\/(-165) + (-584)\/1752.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*b**4 - 3*b**4 + 3*b**4 + (5*b**3 - 3*b**3 + b**3)*(2*b - 3*b + 2*b).\nAnswer: b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 52 = 58. Suppose n = -3*o + 79. Calculate the remainder when 37 is divided by o.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 47*t + 1. Let j be d(3). Let n = j - 1564\/11. Let b be 8\/(-70) - (-2)\/5. Sort 0.4, b, n.\nAnswer: n, b, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2420 divided by -5?\nAnswer: -484","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -139.2 - -139.195. What is the closest to 0 in r, -1, -11?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*l**3 + 4343 - 265*l**3 + 1561*l**3 - 4343.\nAnswer: 1324*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 165056?\nAnswer: 2, 2579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2028.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**2 + 53*y - 242. Let c be r(48). What is the smallest value in c, -12, -3\/8, 33?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**3 - 9*r**2 + 10*r - 11. Calculate o(8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 114 and 1012244?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 0 - 1)*(2*c - 4*c + 4*c) - 29 + 9*c + 29)*(3*c - 2*c + c).\nAnswer: 14*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1 (b) -65\/53 (c) 2\/5 (d) 2\/13 (e) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15950 and 169029400?\nAnswer: 1450","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = -0*o - 5*o - j, 5*o - 2*j = -41. Let v(g) = 2 - 199*g**2 + 395*g**2 + 8*g - 195*g**2. Let h be v(o). What is the closest to -1 in 1, 0, h?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8260234274 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 15) to base 13\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.53 + 3.55755. Let f = -118.23755 + h. Let d = f + 119. Round d to one dp.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 46*g*h**4 - 7*g - 4*h**5 + 4*h**3 - 98*h wrt h?\nAnswer: 552*g*h**2 - 80*h**3 + 24*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 18, 153, 506, 1185, 2298, 3953, 6258, 9321?\n\"Answer: 18*p**3 + p**2 + 6*p - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 187550 is divided by 1082?\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**3 + 4*y**2 + y - 7. Let v be 3\/15 + (-16)\/5. Let z be q(v). Let c = 0 - 0. Sort c, z, -4.\nAnswer: -4, z, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5207135?\nAnswer: 5, 1041427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*u - 544 = -31*u. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the third derivative of -p**5\/150 + p**4\/15 - 4*p**3\/15 + 2*p**2. Determine w so that v(w) = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 70\/6 - ((-1292)\/57)\/(-34). Let r(l) = -6*l**3 - 4*l + 5. Let n(p) = -17*p**3 - 11*p + 14. Give g*r(b) - 4*n(b).\nAnswer: 2*b**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 294*g - 5582. Give y(19).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 0*l + 18 = 0. Suppose 2*s = -2*k - 3*k + 15, 3*k + 3*s = l. Suppose -2*g - k*d = -52, g + 4*d - 42 = -6. Solve g = -6*r + r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (463 - 467 - (1 + 0 + 0)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 129 + -17. Suppose 108*a + 72 = r*a. Calculate the greatest common divisor of a and 162.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1363 + -1357. Let w(k) = -2*k**3 + 9*k**2 - 13*k + 13. Let z(m) = -m**3 + 4*m**2 - 7*m + 6. Let d(t) = -3*w(t) + 5*z(t). Give d(j).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 + 2. Suppose -g*d = -2*d. Suppose 3*y - y - 12 = d. Solve v + v + y = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from nnunqnkqknnkvuxuukn.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 - 2c416a8?\nAnswer: -2c416ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + 2*o + 4 = -4*j, 4*j - 2*o = -10 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 5*a = -167, 2*s + 6976*a - 97 = 6973*a for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -35 - 213. Let l = p - -251. Find b such that l + 9\/2*b**2 - 15\/2*b = 0.\nAnswer: 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0.058, 0.3, 0.08, 1\/6 in ascending order.\nAnswer: -4, 0.058, 0.08, 1\/6, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 60067, 120142, 180217, 240292?\n\"Answer: 60075*d - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 75853 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5676 - 8799. Let f = 3148.46 + h. Round f to zero decimal places.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2098, 0.3, 3, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -7a14a2 (base 11) to base 10\nAnswer: -1275694","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 127003?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 27972?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 704 and 440.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1010616860 to the nearest integer?\nAnswer: 1004","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 5*q - 6. Let t(d) = -28*d + 31. Let j(r) = 11*o(r) + 2*t(r). Give j(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhgehhjehhnnhe. Give prob of picking 1 e and 1 h.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ite when three letters picked without replacement from utletlsi.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 6 - 9 = 0. What is the second derivative of 2*d + d**3 + d**3 - 7*d + n*d**3 wrt d?\nAnswer: 42*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3712 and 108?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 730 is divided by 70.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 + 4. Suppose 3*r + 4*c = -5, -2*r + 2*c + 15 = -r. Put r, a, -2 in descending order.\nAnswer: r, a, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1058264 is divided by 1584?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6720)\/4128 + -1 + (5 - 2). Is -1 at least f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 3*t - 7. Let k be 6\/(-9) + 2\/3. Let i = 2 - k. Calculate the lowest common multiple of i and h(6).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**3 - 6*q**2 + 5. Let b be z(-6). Suppose -5 = -m + b. Let g = 2674 + -2664. What is the highest common factor of m and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14 + -12. Suppose -y = -g*c - 20, 0 = 2*y + 2*c - 19 - 3. Let f be (-2)\/(-9) + (-32)\/(-18). Solve -2*j + 14 = 2*m, -f*j + 5*m = -0*m + y for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*k + 2*k + k)*(-3 - k + k**2 + 3 + (k + k - k)*(-74*k + 463*k + 28*k)) to the form l*k + o*k**3 + a + f*k**2 and give o.\nAnswer: 418","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(95)\/(sqrt(25)\/sqrt(5))*-5 - sqrt(76)\/(sqrt(4) + sqrt(36)\/(sqrt(72)\/sqrt(8)) + sqrt(4)))**2.\nAnswer: 4864\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 17938272 a multiple of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13751?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(9)\/sqrt(3) - sqrt(3)) + 5 - (-4*(sqrt(3) + -1) + sqrt(30)\/sqrt(40)).\nAnswer: 1 + 7*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -4242 (base 8) to base 7\nAnswer: -6305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 - -2574125?\nAnswer: 2574122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -155 * 6.509\nAnswer: -1008.895","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 43 and 172.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 65153 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -49568 (base 11) to base 10\nAnswer: -71222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -113*q + 116*q = -5*j + 19, -8 = 4*q. Solve 2*o - j*f = -8, 4*o - 107*f = -109*f - 16 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:06 PM and 7:36 AM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 876546017 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 208 + -151. Suppose 0 = -0*t + 2*t - 12. Let h = k - t. List the prime factors of h.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -126\/3529 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 + -2.9. Suppose 2*y = 3*z - 3, 0*y = -y - 4*z - 7. What is the nearest to s in y, -5, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (10\/4 - 1)*2. Let g = -8.971 + 9.371. Which is the nearest to d? (a) 2 (b) g (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 4.871503ns?\nAnswer: 0.000004871503","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/460224 and -121\/180.\nAnswer: 2301120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 2360*o**3 + 21*o**2 + 319*o - 36. Let j(v) = 590*v**3 + 5*v**2 + 80*v - 8. Let t(z) = -2*a(z) + 9*j(z). Find the third derivative of t(r) wrt r.\nAnswer: 3540","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the second derivative of -25*g**5 - 50*g**4 - 40*g**3 - 16*g**2 - 6*g. Factor s(j).\nAnswer: -4*(5*j + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3486.006469 + 3486. What is f rounded to 3 decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -106, -109, -122, -151, -202, -281?\nAnswer: -394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 30*r - 25*r - 15. Solve 12 = 4*a - r*z, a - 1 = 2*z + 7 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3795 divided by 4.\nAnswer: -3795\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -7777796 != -7777795?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 257159*d*m**2*x + d*m**2 + 2*d*m*x + 6*m**2 + 3*m*x - m + 43*x - 305 wrt d.\nAnswer: 257159*m**2*x + m**2 + 2*m*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**3 - 9*x**2 + 42*x - 26. Let u be v(7). Solve u*g + 16 = 174*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*l**2 + 44 - l - 42 + 116*l**2 as a*l + q + r*l**2 and give r.\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1593695404?\nAnswer: 2, 7, 241, 33739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1080055243352 and 0.03.\nAnswer: 1080055243352.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 34 and 1502749.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 196 + -190. Suppose -4*q + 333 = -t*z + z, -3*z = q - 62. What are the prime factors of q?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*f = 234*f - 162192457 - 157793543. Round f to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1383430 - -0.78787.\nAnswer: -1383429.21213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 0 + 3)*(-2 + 1 + 3) - 15 + 7 - 18)*(-8*d + 0 + 0).\nAnswer: 176*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 32\/5 of a millennium?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -2*u. Let a(j) be the third derivative of -211*j**4\/24 + 246*j**2. What is a(f(z))?\nAnswer: 422*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 + -4. Suppose -q*u + 2*j + 41 = 11, 0 = 3*u - 4*j - 20. What is the greatest common divisor of 64 and u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 544 = -y + 5*y. Let x = y + -80. Calculate the greatest common divisor of x and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 1029 - 3*y + 1153 - 2176. Let t(a) = 2*a**2 - 3*a + 3. Let c(x) = x**2 - x + 1. Let j(m) = -6*c(m) + 2*t(m). Determine z(j(s)).\nAnswer: 6*s**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 219525?\nAnswer: 3, 5, 2927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 7*h + 3*h = 4, -2*h - 2 = 2*l. Suppose d - 3*m = -l*m + 128, d = m + 120. Is d a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the second derivative of -m**5\/20 + m**4\/2 + 5*m**3\/6 + 25*m**2 + 40*m + 34. Determine g(7).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 - 2*d**4 + 4 - 4*d**4 + 0*d**4 + 2*d**4 - 2*d**4 + 4 - 4 + (-d + 2*d + d)*(-2*d**3 - 1 + 1) + 2*d**4 + 9*d**4 + d**4.\nAnswer: 2*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -423, -3391, -11449, -27141, -53011?\n\"Answer: -424*x**3 - x**2 + 3*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2121 + 0?\nAnswer: -2121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 78, -161, -728, -1623, -2846, -4397, -6276?\n\"Answer: -164*u**2 + 253*u - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 430184205?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5824269 and 77.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 6 + 12 - 23*d**3 - 1 - 17*d. Let i(x) be the second derivative of -2*x**5\/5 - x**3 + 3*x**2 + 3*x. What is -6*a(h) + 17*i(h)?\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*y + 3*y + 2952. Suppose 4*l + 4*c = 312, -5*l = -5*c + 3*c - y. List the prime factors of l.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**3\/6 - 8*z**2\/3 + 13*z\/2.\nAnswer: z*(z - 13)*(z - 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25184 = -906*l + 114*l + 93*l + 12562 for l.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 2694614 - 277381 = t, -5943985 = -4*w + 3*t. Suppose 2*m - 4*m = -w. Round m to the nearest one hundred thousand.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + b + 4*a + 14 = 0, 1 = -a. Let i = b - -13. Suppose 0 = 4*f - 2*f - 128. Calculate the highest common divisor of i and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + ((sqrt(6300) - sqrt(6300)*2)*-1 - -3*sqrt(6300)*-1))**2*-5.\nAnswer: -126000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, y: 1, z: 1, m: 3, w: 6}. Give prob of picking 1 z and 3 y.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.09? (a) 0.03 (b) -303 (c) 5\/3 (d) -2\/11 (e) -3 (f) -0.1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -110, -715, -2318, -5417, -10510, -18095?\nAnswer: -28670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -2*c + 39. Determine z(17).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the third derivative of j**5\/60 + j**4\/6 + j**3\/2 - 2*j**2 - 4. Suppose y(q) = 0. What is q?\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 47\/54 + -5771\/5886. Which is bigger: a or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 2*s**2 - 2. Let n(y) = -3*y - 2. Let h be n(2). Let i = 5 + h. Let m be i*(12\/9)\/2. Determine d(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 38\/(988\/8190)*12\/108?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4908*o**6*v + 154*o**6 + 2*o**2 - 61708*o*v wrt o.\nAnswer: 588960*o**3*v + 18480*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38 is divided by (0 + -1)\/((-5)\/70).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/6*69\/115*(-10 - -12). Sort 3, g, 0.2352 in decreasing order.\nAnswer: 3, g, 0.2352","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -55 - -22033600?\nAnswer: 22033512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/110 and 92\/45?\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -756 by 108.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**3 - 4*r**2 + 2*r - 4. Let p be x(4). Let f be (1\/p)\/((-18)\/54). Is f < -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -3*k**2 + 5*k - 4. Let u(l) = -2*l**2 + 3*l - 2. Let z(v) = -5*u(v) + 3*y(v). Let i be z(-2). Solve 0*s = i*s + 8 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i when three letters picked without replacement from {i: 5, x: 1, j: 4, r: 1}?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**3 + 13*c**2 + 2*c - 23. Let m be v(13). What is the closest to 0 in m, 22, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 684 + 5\nAnswer: 689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 305 = -y + 5*q + 279, -3*y - 18 = -3*q for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 109\/2 - 559\/10. What is the closest to v in 4, 0.2, 3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most as big as 2\/953?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -46002 or -46001?\nAnswer: -46001","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 + 5. Let g be ((-4)\/4)\/(d\/(-7)). Suppose -b = 5*f - 7, 3*f + 4 = g. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/11 (b) -0.2649 (c) 10 (d) 3 (e) 2\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -135.\nAnswer: -2\/135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38 + -4 + 4 + 58.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*h = -p - 24*h + 586, -5*p + 2882 = -2*h. Suppose 4*g + 551 - 2973 = 2*u, 0 = g + 5*u - p. Calculate the greatest common factor of g and 134.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -360, -334, -328, -348, -400, -490, -624, -808?\n\"Answer: -b**3 - 4*b**2 + 45*b - 400","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1217 is divided by ((-33052)\/(-420) + 22\/(-231))\/(1\/5).\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 2 u when three letters picked without replacement from hhuhuhhqqqqhhhhh?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the third derivative of 0 + 1\/12*i**4 + 0*i + 625\/6*i**5 - 4*i**3 + 11*i**2. Let h be n(12). Round h to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2599)\/(-113))\/(((-2)\/(-5))\/(8\/(-10))).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-244)\/5)\/((-8)\/20). Suppose y*i = 127*i - 195. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 61*r**3 + r**2 - 28*r + 26. Calculate u(1).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*a**4 - 596*a**3 + 2828*a**2 + 7460*a + 4032.\nAnswer: 4*(a - 144)*(a - 7)*(a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -48 - 46 - 8*j + 154 - 34. Give m(7).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 divided by 153?\nAnswer: -8\/153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -17*y - 117. Give q(-8).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**2 - 12*k + 13. Let p be y(11). Suppose -p*r + 122 = -378. Suppose -v = -3*v + 10, r = 5*l - 3*v. Does 17 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 320399279 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 4.325578um?\nAnswer: 0.000004325578","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5900.23 - 5930.1433. Let f = -617 - -587.1. Let y = x - f. What is y rounded to three decimal places?\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2264*h - 3440*h - 3770*h - 4*h**3 as n*h**2 + f + o*h**3 + c*h and give o.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5857 or -1571\/4?\nAnswer: -1571\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*k + 3*k - 5*k + (-3 + 1 + 4)*(-2*k + 2 - 2).\nAnswer: -8*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.00264 and -0.3?\nAnswer: 0.29736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*x = 63*x + 1371. Suppose x = 5*b - 3253. What is the hundreds digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*-1677\nAnswer: 1677","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*j - 3 = 5*h + 45*j, -3*h - 5*j - 29 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 53 - 51. Let x(g) = -3 - 3 - 4*g**2 + 0*g + g**3 - p*g. Let v be x(5). Solve -5*t = r - 3, 2*t - t = -5*r - v for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.171, 0.3, -0.5, -0.9, -0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 28*u**3 + 2*u**2 + 156*u + 155. What is o(-1)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 185*w - 1485 = 2342 + 3681 - 293 for w.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 353245, 2829520, 9550841, 22639732, 44218717?\nAnswer: 76410320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -69 - 5. Let n(l) = l**3 + l**2 - 7*l + 11. Let j be n(-6). Let f = c - j. What are the prime factors of f?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2 and 1788354.\nAnswer: 1788354","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -2 (b) 4 (c) -77\/8 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 111*k - 9. Let j be u(2). Let d = j - 212. Let h(o) be the first derivative of 4*o**4 - o**2\/2 - 2. Calculate h(d).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**2 - 105*p - 495. Calculate m(-100).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2, 1, -6, 0 in ascending order.\nAnswer: -6, -1, 0, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sum -19369537 and 0.23303.\nAnswer: -19369536.76697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b + 3. Let l be h(10). Let v be -1 + -1*(1 + l). Suppose v*w - 60 = -20. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 3*j - 54 = 0, t + 0*t + 5*j = 22. Is 2 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(1\/9)*r*r\/(r**10*r))**(-7\/9)*((r\/(r**(4\/7)*r))\/r*r\/(r**1\/r)*r*r)\/(r**1\/r**5) assuming r is positive.\nAnswer: r**(6998\/567)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -2307.\nAnswer: 2\/2307","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 7*g. Let n(r) be the first derivative of 3*r**2\/2 + 15. Let a(l) = 7*l. Let w(s) = -4*a(s) + 10*n(s). What is w(j(p))?\nAnswer: 14*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 197009?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(77))\/sqrt(7) - (sqrt(55)\/sqrt(5) + -1).\nAnswer: -2*sqrt(11) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (9\/(-2))\/(6\/(-1116)). Let r = o + -583. Suppose n = 3*d - r, 5*d + 0*n - 2*n - 425 = 0. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - 29 = -4732*v + 4737*v, 7*j - 41 = 5*v for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 10*k - 27. Let d(v) = 80 + 45 - 18 - 41*v. Let y(c) = 2*d(c) + 9*s(c). Is 11 a factor of y(10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -4170, -8131, -12084, -16029?\n\"Answer: 4*o**2 - 3973*o - 201","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -6*n + 1. Let l be 4*(-2)\/12*-18. Let o be 2*l\/8 + -1. Let j be b(o). Is j less than or equal to 2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.12 times 326076?\nAnswer: -39129.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1829286 - 8397286. What is r rounded to the nearest one million?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1181 + -1212. Are -181\/6 and p unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 + -2. Suppose -5*h + 24 = 2*k - 0*h, 46 = v*k + 5*h. What is the greatest common factor of k and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8461557 is divided by 2820518.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 188, 192, 198, 206, 216?\n\"Answer: x**2 + x + 186","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 2*x = -12, -4*x + x + 4 = -2*r. Let a = 238 - 242. Calculate the common denominator of r + -1 + a - 123\/90 and 71\/33.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1244318.76 nanoseconds in days?\nAnswer: 0.0000000144018375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*y = 94*y - 144 for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 564394 a multiple of 82?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 + -12. What is the closest to -1\/2 in 2\/7, q, 2\/19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmymwgywym. What is prob of picking 2 y?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add together -4672677 and 0.\nAnswer: -4672677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -108, -93, -68, -33, 12?\n\"Answer: 5*t**2 - 113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 68760*w**4 - 2*w**2 - 6449.\nAnswer: 1650240*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 3188*y**3 - 11*y**2 - 43*y - 1201. Let s(k) = 638*k**3 - 2*k**2 - 8*k - 240. Let a(t) = -2*h(t) + 11*s(t). Differentiate a(q) wrt q.\nAnswer: 1926*q**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -11260 or -11244?\nAnswer: -11244","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22 - (61 - (-5152)\/(-84))\/(4\/(-180)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/3 - (-4)\/6. Suppose 4*m = -1 + 21. Suppose 3*g + k = m*k + 15, 0 = -2*g + 3*k + 9. What is the greatest common divisor of g and n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes before 5:53 PM?\nAnswer: 8:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 336.546 - 336. Round w to one dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 368.7 (b) -2\/23 (c) -2\/43 (d) 0.5 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 703 a factor of 652961015?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -3696 divided by -7\nAnswer: 528","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 268*m - z = 270*m + 14, -3*m - 3*z = 30. Sort -8, m, -3, -0.1, -37 in increasing order.\nAnswer: -37, -8, m, -3, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**2 + z + 1. Let j(w) = -37*w**3 - 4*w**2 + 7*w - 2. Let s(p) = -i(p) - j(p). What are the prime factors of s(2)?\nAnswer: 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 124*p**3 + 15*p**2 - 3. Let d(t) = -498*t**3 - 59*t**2 + 13. Let i(z) = 2*d(z) + 9*o(z). What is the third derivative of i(a) wrt a?\nAnswer: 720","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -133*n**3 + 3*n**2 - 7*n + 3. Let z(o) = -2*o**3 + o**2 + 3. Calculate -g(l) + z(l).\nAnswer: 131*l**3 - 2*l**2 + 7*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the third derivative of -d**7\/105 + d**6\/20 - d**5\/30 - d**4\/4 + 2*d**3\/3 + 6*d**2. Factor u(k).\nAnswer: -2*(k - 2)*(k - 1)**2*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 23473168?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/44940 and 123\/74900.\nAnswer: 224700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12*m*n**3*s + 109213*m*n**3 - 2*m*n + 7*n**3*s + n**3 + 398606545*n**2*s wrt n?\nAnswer: -72*m*s + 655278*m + 42*s + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -34 + -34681?\nAnswer: -34715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 15, k: 4}. Give prob of sequence qqkq.\nAnswer: 455\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-26))\/(8\/(-6))*2696\/(-2022)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8157349, 16314701, 24472053, 32629405, 40786757?\nAnswer: 48944109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 37 = 250. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -9 (b) 1\/3 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21 - 220222020211?\nAnswer: -220222021002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5429335, 21717388, 48864143, 86869600, 135733759, 195456620, 266038183?\nAnswer: 347478448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4287 - 2273. Let v = 133416447\/66094 - 141\/9442. Let h = v - w. Find the common denominator of -17\/8 and h.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**3 + 18*g**2 - 44*g - 9. Suppose 4*w + 7 = d, 10*w - 36 = -2*d + 7*w. Let c be j(d). Solve -5*r + 1 - c = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 242752 and 64?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -2*o**3 + 123029*o**2 - 1892047612*o + 945993049 = 0.\nAnswer: 1\/2, 30757","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 3*q**2 - 4*q + 3. Calculate the smallest common multiple of 22 and s(3).\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 255 = 2*r - 0*r + 3*p, 0 = 4*r - 3*p - 519. What are the prime factors of r?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*b + 26*b - 32 = 0. Let c(n) = -n**3 + 8*n**2 + 4. Let s be c(b). Solve -4*h + s = -6*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 20*z. Let a(n) be the third derivative of 0 + 1\/30*n**5 - 2*n**2 + 0*n + 0*n**4 + 0*n**3. Calculate a(s(d)).\nAnswer: 800*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -17.5 * -19.5.\nAnswer: 341.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 36.26 + -0.86. Let p = t - 35. What is the third smallest value in 1, -1, p?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 606898*n**6 - n**2 + 10800 wrt n.\nAnswer: 72827760*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4060?\nAnswer: 2, 5, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5*(-3)\/(-3) + -2. Suppose 1250 = -8*v + s*v. Let j = -171 - v. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - f = 3*g - 8, -3*f - 6 = 0. Let n = g - 0. Find the third derivative of -p**n + 11*p**2 + 6*p**3 + 5*p**2 - 4*p**2 wrt p.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -2*p + 3. Suppose -p*o = -2*o + 288. Let m = o + 409. Calculate the highest common divisor of m and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 47 + 670.\nAnswer: 717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from {p: 2, n: 2, e: 5, q: 3, h: 3}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7662301*s**5 + 27426042*s**2 wrt s.\nAnswer: 459738060*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62006714.\nAnswer: 2, 7, 11, 53, 71, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4 + -2)*(-58965)\/30. Let f = n + 5582. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101000010100110 + 111101011100?\nAnswer: -100000101001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 60 - 52. Suppose -d = 5, -3*y + 4*d = -582 - 1673. Suppose y = 3*r - n. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b**(2\/57)*b))**(-21\/4)*(b\/b**(-18))\/b**29 assuming b is positive.\nAnswer: b**(-373\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 2*a + u, 11*a + 8 = 6*a - 3*u for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that f**4\/10 - 32*f**3\/5 - 17617*f**2\/10 + 144340*f - 417000 = 0.\nAnswer: -139, 3, 100","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 3*n**2 + 90 - 90. Let q(f) = 2*f. Give q(m(k)).\nAnswer: 6*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12.32 + 8.32. Let s = 8 - 14. Is s greater than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1389 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 0*h + 14 - 2*h - 8 + 14. Give n(9).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -119 + 122. Which is smaller: g or 21\/11?\nAnswer: 21\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the first derivative of -260*k**2 + 267*k - 868. Differentiate o(y) wrt y.\nAnswer: -520","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -3*s + 6085, 5*s - 9132 = -5*z + 993. Let a = s + -1021. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -144 - -227. Does 26 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 90?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 50 = 6*b. Let l(m) = -m**2 - 10*m - 1. Let t be l(b). Are t and 3 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 divided by -52039\nAnswer: 9\/52039","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -76\/3 - -25. Let u = -0.1 - 2.9. Which is the closest to 0.2? (a) w (b) 2\/9 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the first derivative of -7\/5*y**5 + 0*y**2 + 2*y**3 + 0*y - 1 + 0*y**4. What is the third derivative of g(q) wrt q?\nAnswer: -168*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4114, 8224, 12320, 16396, 20446, 24464, 28444?\nAnswer: 32380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101*d - 100*d + 120 = -5*k, -4*k - 112 = 4*d for k.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y = -2, 8*b + 5*b - 3*y + 309 = -4*b - 20*b + 11*b for b.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 204 - 204.4. Which is the nearest to -0.11? (a) 2 (b) -0.1 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -4 + 3 + 5 + -2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in eleven halves of a millennium?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -4*s**3 + 2*s**2 + 2*s. Let f be q(-1). Solve 4*a + 0*a + f*c = 8, -15 = -3*c for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 2*d**3 - d**2 + 4*d - 17. Let w be r(8). Suppose -s = v - w, 4*v + 252 = s - 738. Let j = s - 311. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 9\/1697 (b) -0.1 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a millennium in decades?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3231 is divided by 82?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 >= 341\/1119192?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -2*s - 0*s + 31, r = 2*s + 5. Suppose -a + r + 15 = 0. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k - 3*r - 2 + 10, -4*k + r + 8 = 0. Suppose 5*a - 4*a - k = 0. Let n be 2*((-33)\/(-6) - a). Solve -27 = 4*d - n for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 104299 is divided by 86.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 10887.47um in nanometers?\nAnswer: 10887470","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -69, 37, 3, -517, 6.\nAnswer: -517, -69, 0, 3, 6, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve k = 2*k - 4 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the second derivative of 6*b**5\/5 - 25*b**2 - 2*b - 8. Differentiate s(q) with respect to q.\nAnswer: 72*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 2*n**2 + 3*n + 1. Let w be v(5). What is the greatest common factor of w and 165?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6915287 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 456\/(-16) + 2*1. Let b = -579\/22 - p. Sort -2, b, 0.3.\nAnswer: -2, b, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 275931.4km?\nAnswer: 275931400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**3 + 7*c**2 + c + 4. Let w be z(-7). Let f = -1 - w. Let o(u) = 6*u - f*u - 2*u. Let s(i) = i**2. Determine o(s(l)).\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -9*f**2 - 317*f - 1409. Determine i(-30).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -563872 + 563872 + 768094*a.\nAnswer: 768094*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -35*d**3 + 22495*d**2 + 350080*d + 1283100 = 0.\nAnswer: -65\/7, -6, 658","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 26533, 26621, 26709, 26797, 26885, 26973?\nAnswer: 27061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 4, -4, -1, 6195, 14, -3 in ascending order.\nAnswer: -4, -3, -1, 1, 4, 14, 6195","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -965*h**2 - 48*h**4 + 965*h**2 + (5*h**3 - h**3 - 2*h**3)*(-20 + 5*h + 20).\nAnswer: -38*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) -2.602 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1696 by -212.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -5*j**2 + j - 1. Let f(o) = 26*o**2 + 140*o + 149. Let r(b) = 5*d(b) + f(b). Find m such that r(m) = 0.\nAnswer: -144, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.24? (a) 1 (b) -2 (c) 1\/2 (d) 11\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -30 + 16. Calculate the common denominator of -63\/8 and i\/9*42\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 410 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 26228, 26222, 26214, 26204?\n\"Answer: -p**2 - 3*p + 26232","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*g - 13274 + 26567 - 13293.\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**(5\/3))\/t**(1\/2))\/(t**(1\/2)*t)**(-2\/9)*((t**1\/t)\/t*t)**(-13\/8)*(t*t**0)\/t**(-2) assuming t is positive.\nAnswer: t**(13\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 635 + -627. Is t a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*j + 1166 = -7*j. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**3 + 5*t**2 + t + 12. Suppose 20 = -p - 3*p. Let d be q(p). Calculate the greatest common divisor of 42 and d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 - (8 + -5) - -38. Suppose -13*p - 5*p + i = 0. Suppose -y - p*g = 3*y - 5604, -2*y = -g - 2794. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*t**4 - 92*t**3 + 492*t**2 + 1276*t - 9680 = 0. Calculate t.\nAnswer: -4, 5, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*n + 132 = 54*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**(-6)\/m)\/m**1)**(-3\/17))**(-22) assuming m is positive.\nAnswer: m**(-528\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -10*t - 1. Let g(z) be the second derivative of 0*z**2 + 1\/3*z**3 - 2*z - 12. Determine n(g(m)).\nAnswer: -20*m - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 86110?\nAnswer: 2, 5, 79, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2\/13, -2\/25, -1\/3, -3\/4, 74?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3379 and -0.4178.\nAnswer: 1411.7462","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/(-16) + 10\/(-4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = -5*y - 2*g, 3*y - 4*g + 28 = -y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the third derivative of -10*v**2 + 1\/2*v**4 + 0*v + 0*v**3 - 1\/30*v**6 + 2\/15*v**5 + 0. Factor u(i).\nAnswer: -4*i*(i - 3)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10247.\nAnswer: 10247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4171278 - 4170693.9767. Let g = x + -584. What is g rounded to 3 decimal places?\nAnswer: 0.023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 5*b - 289 = 0, -d + b + 37 + 276 = 0. What is the hundreds digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 22*a - 8. Let c(l) = -12*l + 3. Calculate -5*c(f) - 2*o(f).\nAnswer: 16*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-20)\/(-14))\/(24\/84). Suppose 0 = -c + f + 5. Solve -2*x + c = 3*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 + ((-104634)\/(-8) - 18\/(-1080)*-15) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -10*v**2 - 35*v + 20. Let i be y(1). Let c = 7 - 2. Suppose 0 = -0*q - 2*q + c*r - 50, -4*q - 2*r = 100. Is i > q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from snnnnwnnnnwnns. What is prob of sequence ssw?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12822?\nAnswer: 2, 3, 2137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the first derivative of -35*j**6\/3 - 2*j**3\/3 - 6*j + 231. Find the third derivative of l(i) wrt i.\nAnswer: -4200*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 175329 divided by 99?\nAnswer: 1771","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1732762 = 93*f - 95*f - o, 0 = -f + 5*o + 866381. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 + -233121?\nAnswer: -233120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -3*n + 7, 31*n = 28*n + 3*c + 15. Solve 3*s - 12 = -2*p - 22, 0 = 2*s - n*p - 15 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 5.631137 centimeters?\nAnswer: 56311370","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1864, -3743, -5622?\n\"Answer: -1879*x + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1011121020 (base 3) to base 12.\nAnswer: -113b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 3*x - 4. Let t(p) = 7*p - 8. Let h(i) = 5*a(i) - 2*t(i). Suppose d + 2*z = 11, 0 = -z - 0*z + 4. Suppose 10 = -b + d*b. Determine h(b).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kk when two letters picked without replacement from kkkkkkeeekkk?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 19\/60361010 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 220\/(-30)*72\/(-22)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15749879337*f**3 - 15749879338*f**3 + f**2 - f**2.\nAnswer: -f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 4, e: 1, r: 4, w: 10}. Give prob of picking 1 m and 2 w.\nAnswer: 60\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 650\/130*6\/50\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/7 + 236\/56 + 2\/(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000027784195 to seven decimal places.\nAnswer: -0.0000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*((l*l*l**8)\/l)\/l*l)\/l)\/l**(-2\/29))**(-17)\/(l**(-1)*l**(-12))**(-16\/3) assuming l is positive.\nAnswer: l**(-19445\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jbz when three letters picked without replacement from {j: 1, k: 1, b: 1, w: 1, z: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the second derivative of -3*k**5\/20 + k**4\/3 - k**3 - 2*k**2 + 7*k. Let s be w(3). Let x = s + 143. List the prime factors of x.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 + 317?\nAnswer: 316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -3*z + 2. Suppose 0 = -14*n - 932 + 862. Let j(l) = -2*l + 1. Give n*j(y) + 2*k(y).\nAnswer: 4*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes before 10:18 AM?\nAnswer: 3:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 57876 divided by -4869?\nAnswer: -19292\/1623","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 4*z - 226 = -i, 2*z = 10. Suppose -268 - 9 = -5*p + 3*t, -285 = -5*p + 5*t. Let q = p + i. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25874940 a multiple of 588?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10404 by -1156.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2025, 2026, 2013, 1974, 1897?\nAnswer: 1770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d**5 - 20*d**4 - 15*d**3 = 0. What is d?\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11506909 to the nearest integer?\nAnswer: 3392","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 11 (b) -9 (c) 157.72\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -260 + 48 + 93 + 0*l + 2*l + 119.\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**2 + 2. Let n = 19 + -18. Let i be 13 - -1*(-4)\/n. Let h = -2 + 0. Let y(o) = 3*o**2 + 9. Calculate h*y(c) + i*t(c).\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sum -136112315145 and 2.\nAnswer: -136112315143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1404 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(76)*-3 + 3 + 1)*6)**2 - 1*(2*(-2 + sqrt(76)) - sqrt(76) - (sqrt(76) - ((sqrt(76) - (3 + sqrt(76)*-1)) + sqrt(76))))**2.\nAnswer: -1644*sqrt(19) + 24467","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*d**5\/7 + 201*d**4\/7 + 387*d**3\/7 - 2316*d**2\/7 - 6996*d\/7 - 720 = 0.\nAnswer: -2, -3\/2, 4, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6561324 nanometers to kilometers.\nAnswer: 0.0000000000006561324","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnybynn. What is prob of picking 3 n?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 (base 4) in base 5?\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (40\/164)\/5*((-273)\/26)\/21.\nAnswer: -1\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a milligram in micrograms?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 89837789?\nAnswer: 83, 1082383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccd when three letters picked without replacement from yccycypcydwccdw?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 9*g**2 + 4*g + 1. Let u(a) = -6*a**2 + 9*a + 8. Let m(l) = 14*l**2 - 20*l - 18. Let d(i) = -4*m(i) - 9*u(i). Determine -26*d(j) - 6*x(j).\nAnswer: -2*j**2 + 2*j - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20 + -3 + -2 + 32 + -18 + -16.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 2*g - 3. Let t be p(0). Sort 6, 5, t in increasing order.\nAnswer: t, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1615436 divided by -4.\nAnswer: -403859","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(17)*1 - (5 + -3*sqrt(17) + sqrt(17)))**2 - (-1 + sqrt(1700) + 4).\nAnswer: -70*sqrt(17) + 250","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -2*w**2 + w**2 - 8 + 20*w - 31*w - 6. Calculate h(-10).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -2*k - 5. Let n be b(-4). Let i(l) = l**3 - 2*l**2 - 2*l + 4. Determine i(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27507044131 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 7*f - 35 = -4*i, i = 5. Sort f, -7, 7, -1, 0.\nAnswer: -7, -1, 0, f, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4372360 to the nearest ten thousand.\nAnswer: -4370000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a millennium in months?\nAnswer: 16500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -22591606 + 3992606. Round f to the nearest one hundred thousand.\nAnswer: -18600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the first derivative of -11*o**5\/20 - 2*o**3 - 21*o - 4. Let i(q) be the first derivative of b(q). What is the second derivative of i(h) wrt h?\nAnswer: -66*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**3 - 4*m**2 + 21*m + 6. Let i be a(-7). Is (-4)\/(-6)*(-2 - (-84729)\/i) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*y - 20*y - 13 + 17 - 4.\nAnswer: -29*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1484 + -1479. What is the closest to 1 in -9, -1, -0.1, m?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f - 12. Let g be h(-17). Suppose 20 = g*i, 0 = -t - 5*i - 26 + 64. What is the second derivative of -13*x - 2*x**3 + t*x + x**3 wrt x?\nAnswer: -6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 254 - 203. Suppose 0 = -4*j + 894 - 86. What is the remainder when j is divided by i?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-1*sqrt(304) + 2 + -5 + -1 + 0 + -3 + -3).\nAnswer: -4*sqrt(19) - 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1338560 and 148847872?\nAnswer: 744239360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s - 8 = -3*s. Let a(x) = 4*x**2 - 2. What is the tens digit of a(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, -0.4, 24, 0.4, 5, -19, 1444?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in one fifth of a kilogram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 2*x + 2. Let c be o(1). Put 0.04, c, 1 in descending order.\nAnswer: c, 1, 0.04","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 677\nAnswer: 2\/677","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 29, -3\/7, -23, 6?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 45344?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12 - 1)\/(1\/(-13 - 176\/(-11))).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(405) + 0 + sqrt(405) + 2 - -4*-1*sqrt(405)) - ((-1 + sqrt(405))*1 + sqrt(405)*1*1))**2.\nAnswer: -288*sqrt(5) + 6496","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(209)*1)\/(sqrt(176) - sqrt(44)) + (sqrt(570)\/sqrt(490))\/(sqrt(12)\/(sqrt(4)*2)))**2.\nAnswer: 2736\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 2 u, and 1 f when four letters picked without replacement from {u: 5, n: 5, f: 8}.\nAnswer: 20\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -437 - -391. Let i be (-1)\/2 - 805\/f. Solve 4*x = 5*w + 15, 3*w - 3*x = x - i for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21.86 + -440618768?\nAnswer: -440618746.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -3*z**2 - 21*z + 4. Let u(b) = 2*b**2 + 11*b - 2. Let r(f) = 3*o(f) + 5*u(f). What is the remainder when 61 is divided by r(10)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 119*k - 2302335 = -48*k + 35999. List the prime factors of k.\nAnswer: 2, 7001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*m - m + 0*m)*(-3 - 4 + 5) + (-20 + 24 - 20)*(m + m - m) as w + g*m and give g.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zgqi when four letters picked without replacement from qigzqqgq.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -101 - -103. Suppose -1803 = -p - 5*c - 323, h*p = -2*c + 2936. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m**2 + 3*m**2 + 9*m**2)*(22*m - 93 + 46 + 44).\nAnswer: 220*m**3 - 30*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 105536 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -91.0000288 + 91. Round o to six dps.\nAnswer: -0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3289 + -3265 + (0 - 45)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a kilometer in meters?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 135 and 32139.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 140434 - 1?\nAnswer: 140433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -646577\/30 - -21550. Let w = -4 + -3. Find the common denominator of q and (-8)\/(-21) + (-2)\/w.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from vscsvj?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xccx when four letters picked without replacement from xcxcxxcccc.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2174 - 2178. Put -3, 0.03, h, 17 in descending order.\nAnswer: 17, 0.03, -3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 - 11\/5*s + 1\/5*s**2 = 0.\nAnswer: 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24995, -24996, -24997, -24998?\nAnswer: -24999","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11160 and 5845?\nAnswer: 13046040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -p**2 - 2 + 2 + (-191 - 140 + 88)*(-p - p + p)*(-4*p + 5*p + p).\nAnswer: 485*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 divided by 52.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12280, 24556, 36826, 49090, 61348, 73600?\nAnswer: 85846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 130 divide 67418306?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 56 + -54. Let o(s) = -4*s + 39*s**2 + 6*s - 33*s**p + 9 + s**3. Determine o(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8586\/3186)\/53*(-4)\/(-24)*4?\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24943703.\nAnswer: 41, 608383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**3 - 6*x**2 + 27*x + 4. Let u be d(-9). Let r(t) be the second derivative of -1\/9*t**3 - 1\/18*t**u + 0*t**2 + 9*t + 0. Factor r(y).\nAnswer: -2*y*(y + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7 by -37965.\nAnswer: 7\/37965","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggbd when four letters picked without replacement from {t: 2, k: 5, d: 2, b: 1, g: 4}?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 397\/5 + -79. Is 2 greater than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 2*l**3 + 4. Let k(d) = -d**3 + d**2 + 1. Let p = 11 - 15. Let y(b) = p*k(b) + s(b). Find the third derivative of y(f) wrt f.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*d - 276 = -5*g + 44, 3*d = 7*g + 7*d + 53 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -71 - -76. Find s such that -o*s - 9*s**2 - 1 + 0*s + 0 + 52*s**4 - 54*s**4 - 7*s**3 = 0.\nAnswer: -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d**5 - 744*d**4 = 0. Calculate d.\nAnswer: 0, 186","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i**2 + 0*i**2 + 3 - 5)*(-6*i**2 + 8*i**3 + 6*i**2).\nAnswer: 8*i**5 - 16*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**2 - 45378742*i - 514807556375641.\nAnswer: -(i + 22689371)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 b when two letters picked without replacement from dszpubuzpzduzdu.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**3 + 4*g. Let t(v) = -3*v**3 + 13*v. Give 3*t(i) - 8*w(i).\nAnswer: -i**3 + 7*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 149877?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15 - 13. Suppose -14 = -5*s - i*g, -4*s + 8*s = 4*g. Let c(v) = -2*v**2 - 6*v**2 + 6*v**s. Let j(x) = -10*x. What is c(j(u))?\nAnswer: -200*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3.078745 <= 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from {e: 8, a: 5}?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 659*s - 2 - 240*s + 1267*s.\nAnswer: 1686*s - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3565\/2185)\/(20\/380).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - (14 + 5) - -12) + (2 - 3 - 2)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1732 + -5?\nAnswer: 172c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*q + 49*q**2 + 6*q + 151*q**2 as p + r*q**2 + f*q and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0.1, 2\/7, -0.3, -4, 644933, -2\/19, 1\/7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the second derivative of -u**4\/4 + 199*u**3 - 1191*u**2\/2 - 185*u + 1. Factor c(q).\nAnswer: -3*(q - 397)*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6, -9, -50, -129, -258, -449, -714?\nAnswer: -1065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(11) + -1 + -5 - (sqrt(11) + (1*sqrt(539) - sqrt(539)) + sqrt(539) + sqrt(539))))**2.\nAnswer: 672*sqrt(11) + 8768","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 + 2. Suppose 0 = -c + o. Suppose -1 = -c*a + 44. Calculate the remainder when 25 is divided by a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 8 = -4*v, 0*n + 2*n = -v + 5. Let b be (n\/(-10))\/((-1)\/10). Suppose -2*q = -4*k - 5 + 23, -q - 19 = -b*k. Solve -14 = -3*o - k for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 4*w + 29, -5*p - 27 = 5*w - 2. Let n = -1456 - -1459. Sort n, w, -5, -4.\nAnswer: w, -5, -4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.642 + -0.842. What is the nearest to 1 in 4, 48, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the third derivative of -q**6\/720 + q**5\/30 - q**4\/12 + 3*q**2. Let t(c) be the second derivative of j(c). Differentiate t(f) with respect to f.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -379 - -391. Let n(v) = v**3 - 11*v**2 - 4*v - 38. Let b be n(z). Calculate the highest common factor of b and 1856.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**4\/3 + 144*s**3 + 24176*s**2\/3 + 30528*s + 89888\/3.\nAnswer: 2*(s + 2)**2*(s + 106)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5585*r + 38 = -5587*r - 4*h, -2*r - 4*h + 2*h - h = 35 for r.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 745 = 8*w + 5*k, -w + 85 = 19*k - 20*k. Calculate the remainder when 436 is divided by w.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 38321, 38261, 38201, 38141, 38081?\nAnswer: 38021","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.21 - 1906754405146.\nAnswer: -1906754405145.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -2*r - 61500. Round r to the nearest 1000.\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1898, 3798, 5698?\nAnswer: 7598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a gram in milligrams?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -5, 10, 8, -67, -0.3, 0?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49325?\nAnswer: 5, 1973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -18*m + 2. Let x be z(-2). Let a be 6\/(-27) + x\/90. Factor -a + 0*v + 1\/5*v**2.\nAnswer: (v - 1)*(v + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/21329 and 61\/70.\nAnswer: 213290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tgtt when four letters picked without replacement from ttttgttttttttgg?\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -52*p - 5*p**5 + 5*p**3 + 52*p.\nAnswer: -5*p**3*(p - 1)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 500.5296 litres in millilitres?\nAnswer: 500529.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22002483?\nAnswer: 3, 7334161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 576 a factor of 202376756?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 11980 to the power of 1\/3, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3781 + -22?\nAnswer: 375c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**2 - d - 3. Let v be h(3). What is the units digit of (-84)\/(-18) - 2\/v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**2 + 7*z + 1. Let s be h(-5). Let x = s + 21. Calculate the lowest common multiple of x and 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -4*w**2 - 309*w - 3129. Let i be l(-12). Factor -4*u**i - 2*u**4 - 10\/3*u**2 - u + 0 - 1\/3*u**5.\nAnswer: -u*(u + 1)**3*(u + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-315)\/(-50)*5\/6 - (-59)\/(-236).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -66 + 67. Which is the fourth smallest value? (a) -0.2 (b) v (c) -3 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -5*h - 426, -3*q - h + 103 + 553 = 0. What are the prime factors of q?\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2*o - 2 + (-o + 2*o - 2*o)*(2 - 5 + 2) - 85*o + 24*o - 93*o.\nAnswer: -155*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqfeqkcqq. Give prob of picking 2 q.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 2*c - 6*c - 26 = 0, -5*v = 2*c - 64. Suppose 0 = -9*r + v*r. Solve r*o + 7 = -l - 3*o, 5*o + 21 = 3*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -458 + 462. Solve 5*u - y + 5 + 19 = 0, -2*u = 3*y - f for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1892 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20 and 326920.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -1\/11, -2\/23, 260, 1\/3 in ascending order.\nAnswer: -0.5, -1\/11, -2\/23, 1\/3, 260","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ulugucb. Give prob of sequence bugl.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(2\/13)\/k**1)\/((((k**(-2\/5)\/k*k)\/k)\/k*k)\/k*k**(-7)*k) assuming k is positive.\nAnswer: k**(491\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1675 is divided by 1671?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -18 - -21. Let i = 25.95 - 26.04. What is the closest to -0.1 in 6\/5, p, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*p + 4*p - 2*p)*(p - 3*p + p)*(8*p - p + 17*p).\nAnswer: 96*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 8*f**2 - 1. Determine l(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -28.6, 1\/68 in increasing order.\nAnswer: -28.6, -4, 1\/68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*j + 2*r - 45, -13*j - 290 = 4*r - 387 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, -17, -3?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**3 - 2*a**2 + 156*a + 882. Give y(-9).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*k + 6. Let s(a) = -3*a - 1. What is the units digit of s(k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(1440)*2 + sqrt(1440) + 5*1*sqrt(1440))\/(sqrt(16)\/(sqrt(98)*-5)).\nAnswer: -1680*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 76*v**2 + 57*v**2 - 769*v + 21*v**2 wrt v.\nAnswer: 308","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2.173 (b) -0.4 (c) -2 (d) 2\/11 (e) -1\/2 (f) -7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o + 2 - 8. Let a(q) = q**3 - 8*q**2 + 7*q + 4. Let w be a(7). Solve -w*n = 15 - o for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(1377) - ((-1 + sqrt(1377))**2 - sqrt(1377)) - (-6*sqrt(17)*-2)**2) - (4 + sqrt(136)\/sqrt(72) + -2*sqrt(51)\/sqrt(3)))*6.\nAnswer: -91848 + 874*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6227117737 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the first derivative of -t**9\/336 + t**8\/140 + t**7\/280 - t**6\/60 - 4*t**3\/3 + 5. Let g(y) be the third derivative of u(y). Factor g(s).\nAnswer: -3*s**2*(s - 1)**2*(3*s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1882700?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the first derivative of -j**5\/60 + 7*j**4\/8 - 3*j**3 + 9*j**2\/2 + 7. Let w(a) be the second derivative of s(a). Is w(8) a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.55 in -2\/9, 14, -4?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*y**3 - 22092*y**2 - 80901*y - 44118 = 0 for y.\nAnswer: -2451, -3, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 200660?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 51727, 51739, 51751, 51763?\n\"Answer: 12*r + 51715","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 139 (b) 2\/5 (c) 0.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.058 and 333.2902.\nAnswer: 333.3482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -17 (base 10) to base 5\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 22014496 a multiple of 322?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - 224 = -10*b - 6*b for b.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 1 (b) 3 (c) 1\/3 (d) 21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2db8 (base 14) in base 12?\nAnswer: -48b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zcctzczcc. Give prob of sequence czc.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-4)\/(-6))\/((-1)\/(-3)). Suppose -17 = -p*y + 3. Is y greater than 11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 539 divided by 539\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**3 + 12*k**2 + 12*k - 11. Let b be l(13). Let p = -16 - b. Determine q so that -p*q**3 - 12*q**2 - 7*q + 4*q**4 + 19 + 5*q - 3 + 18*q = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (((-1893)\/(-2))\/(-3))\/((-331)\/3310)?\nAnswer: 5, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, 0.3, -84?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 7 - (6 - 3) - 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(((u*u**(-1\/2)\/u)\/u*u)\/u))\/u**4)\/((u**(-5)*u)\/u**(4\/5))*(u**(4\/3)*u\/(u*u**(-5)))**27 assuming u is positive.\nAnswer: u**(1743\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes before 3:58 AM?\nAnswer: 7:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 130? (a) -3.21 (b) -0.0648 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 4*q**3 + 2*q**2. Suppose -23*l = 51*l + 222. Let j(y) = 5*y**3 + 3*y**2 - y - 1. Give l*d(r) + 2*j(r).\nAnswer: -2*r**3 - 2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 449 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, -0.3, 2\/5, 15, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2.7, 4, -10\/21, 0.4, -0.0018 in decreasing order.\nAnswer: 4, 2.7, 0.4, -0.0018, -10\/21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -53*t**2 + 0 - 3 + 67*t**2 + 66*t - 61*t - 2 in the form h*t**2 + y*t + o and give y.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes before 9:07 AM?\nAnswer: 6:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/13? (a) -3 (b) -52 (c) -2\/15 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -5*s - 285. Let z = 528\/5 + s. What is the common denominator of z and -40\/9?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 586630, 1173245, 1759860, 2346475?\n\"Answer: 586615*k + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3750 - -3735. Which is the nearest to l? (a) -1\/4 (b) 2\/21 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3035 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 86390?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00411 rounded to 4 decimal places?\nAnswer: -0.0041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -212, -860, -1940, -3452, -5396, -7772, -10580?\n\"Answer: -216*b**2 + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 36397 - 1122 = 6351. List the prime factors of n.\nAnswer: 5, 41, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the third derivative of 0*r**4 + 3*r**2 + 0*r + 1\/2*r**3 + 0 + 1\/60*r**5. What is the derivative of l(g) wrt g?\nAnswer: 2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((474\/(-316))\/(6\/8))\/((-217)\/14)\nAnswer: 4\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the first derivative of -z**3\/3 - 49. Let q(y) = 5*y - 5*y + 3*y. Give q(w(u)).\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert ba3 (base 16) to base 9.\nAnswer: 4070","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.4, 0.4, -31?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 16147593 a multiple of 693?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**2 - 8. Let r be g(-5). Let d be 40\/16 + 5\/(-10). Solve 2*x + 2 = 6*x - d*o, -x - r = -4*o for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 175115868703 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**3 - 5*y**2 - y. Let x be d(-5). Suppose -3*k - 176 = -x*k. Suppose l - k = 2*l. What is l rounded to the nearest 10?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the first derivative of 26*q**3\/3 + 129*q**2\/2 - 5*q + 84. Let n(p) be the first derivative of m(p). Differentiate n(g) with respect to g.\nAnswer: 52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.88 + 3.6. Let h = 1.4 - q. Let j = -0.18 + h. Which is the third smallest value? (a) j (b) -1 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 492 = m, 2*m + 3*k = -3*m + 2504. Let a = m + -120. What is the tens digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15463?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52764038?\nAnswer: 2, 1693, 15583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 518.808 + -1.608. Round q to the nearest 10.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 27*r - 17*r - 60 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18 and 180072?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -2*q**2 + 19*q - 37. Determine s(7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:33 AM and 9:40 AM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0*(-2)\/(-4))\/(2\/1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 36262 - -6646?\nAnswer: 46241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 15058 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (-2 - (-4 + 2)) - -3\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 2420 = -0*t + 2*t, d - 607 = t. What are the prime factors of d?\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 57*m - 984775. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 9 = 5*i - 184, j - 117 = -3*i. Let k = i + -26. Suppose 15*r = -1693 + 1783. Calculate the remainder when k is divided by r.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*-5*sqrt(153)*-2)\/(((sqrt(900) - (sqrt(900) + sqrt(900)*1) - sqrt(900)) + sqrt(900))*6))**2.\nAnswer: 17\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 76 divide 1140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 246.592 less than -4?\nAnswer: -250.592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 + -19. Let s = f - -8. Suppose -2*r - 4 + 110 = s. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 + 13. Solve 0*k + 16 = d*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 26 = 2*p. What are the prime factors of p?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes after 12:04 PM?\nAnswer: 3:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -aec7 + -9?\nAnswer: -aed1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1849, -3892, -6227, -8860, -11797, -15044?\n\"Answer: -z**3 - 140*z**2 - 1616*z - 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 242 (base 10) to base 11\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 163315 and 870524?\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -832.251 to the nearest 100.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1097933 minus -26733748?\nAnswer: 25635815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.042696 rounded to two decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3808?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 128 + -125. What is the second derivative of -3 - v - 16*n**3 + 8 + 153*n - 20*n**3 - 1 - 3*n**2 wrt n?\nAnswer: -216*n - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/6)\/(2\/6). Let s(q) = -3*q + 2*q + w + 3. Let g be (-3*(-12)\/45)\/((-1)\/(-5)). Give s(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 247 + -241. Solve -2*o = 5*t - j*o + 30, 3*t + 3*o = 9 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/4, -2\/7, 3\/47, 6, 0.07?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/78633 and -62\/3513.\nAnswer: 92079243","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 take away -156?\nAnswer: 155.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w - 8. Let f(i) = -8*i + 6. Let z be f(w). Find the common denominator of 23\/9 and -4 - 106\/z*-1.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and 115.1.\nAnswer: -345.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 12, -1000, -1, 4, 2 in descending order.\nAnswer: 12, 7, 4, 2, -1, -1000","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10 + -16. Let a = i + 11. Which is bigger: a or 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1e8 + -12?\nAnswer: -20a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23289 is divided by 9841.\nAnswer: 3607","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**3 + 5*c**2 + 2*c - 2. Let f be s(-2). Suppose f*n - 16 = 4*n. Suppose -n = v - 35. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 706 from -0.040694.\nAnswer: -706.040694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -10\/13 (b) 0.09 (c) -0.5 (d) 0.3 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7072208 by 16.\nAnswer: -442013","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 8776425895 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 762759 a multiple of 533?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1\/10 of a millennium?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*o**2 - 28*o + 3 - 42*o - 3 + 2 - o - 2*o**3 to the form x*o + f*o**3 + g + u*o**2 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-5)\/(d**(-3)*d)*d**(-2\/11)\/d*d**(2\/5) assuming d is positive.\nAnswer: d**(-208\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*u + 22 + 44. Suppose -4*o - u = -67. Calculate the remainder when 51 is divided by o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2853231 to the power of 1\/2, to the nearest integer?\nAnswer: 1689","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 4 * -0.023\nAnswer: -0.092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9*m**2 + 2*m - 2*m)*(0 - 1 + 0)*(0*m + 2*m + m) as w + u*m**3 + q*m**2 + s*m and give u.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 - -3. Let v(r) = r**2 + 13496*r - 81009. Let j be v(6). Which is the nearest to 1\/3? (a) l (b) -5 (c) j (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the third derivative of d**5\/60 + d**3\/6 + 4*d**2. What is the remainder when t(-6) is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7\/2 equal to 1\/12087?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.036177 - 1.77.\nAnswer: -1.733823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -26 + 58. Let o = 3.88482 - 35.87662. Let q = o + y. Round q to 3 decimal places.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2952*y + 19*y + 9018*y - 2059*y as x*y + l and give x.\nAnswer: 9930","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 15468301?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 - (-168)\/(-16))\/(42065\/(-2148)).\nAnswer: 6\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1691, -1620, -1549?\nAnswer: -1478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 13) in base 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lhllwuuhhl. What is prob of sequence wul?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**2 + 6*i + 5. Let o be y(-5). Suppose o = -2*h - 5 + 13, 0 = 5*n - h - 26. Suppose n = 5*b + b. Which is smaller: 4 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 3*s - 3 = 4, 31 = 4*t + 3*s. Suppose t*p - 6 = 22. Let u(z) = z**3 - 5*z**2 - 4*z - 3. Is u(p) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.5 from 1832.8.\nAnswer: 1833.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is (4\/8 + -1)\/((-2)\/364) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45586351 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2402*m + 2421*m = -285 for m.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:51 AM and 7:43 PM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2418)\/(-186)*4\/39?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.48219 rounded to 2 decimal places?\nAnswer: -4.48","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**0)**25)**(3\/19)\/((x\/x**(-2\/7))**(-3\/5))**(1\/27) assuming x is positive.\nAnswer: x**(2644\/665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 2*q + 118 = q, -2*u - 4*q - 58 = 0. Let p = -5 - u. Let d be (p\/8)\/(3\/8). What is the greatest common divisor of d and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*(-1)\/4*82\/(-123)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 divided by 15?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**3 - s**2 - 1. What is h(-1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -6182372536 less than 4?\nAnswer: 6182372540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -0 + 4. Suppose 24 = -4*y + 88. Suppose -y*f = -12*f + 16. Which is the biggest value? (a) l (b) -0.3 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 49650 to the nearest 1000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -1 + -5 + 13 - 8\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**4\/15 - 4*y**3\/5 - 26*y**2\/15 - 8*y\/5 - 8\/15.\nAnswer: -2*(y + 1)**2*(y + 2)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -7*p**3 + 61*p**2 - 110*p + 61. Determine m(10).\nAnswer: -1939","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 9967 + 152657\nAnswer: 162624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -398863 and 980.\nAnswer: -390885740","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -6245 (base 9) in base 10?\nAnswer: -4577","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 40 - 13. Suppose 0*r + 70 = 5*r. What is the remainder when a is divided by r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 567 and 2079?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -7805400 rounded to the nearest one hundred thousand?\nAnswer: -7800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 15 = v - 26, -35 = -4*f - 3*v. Solve i = -p - 5 + 2, 0 = 5*i + 3*p + f for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hkn when three letters picked without replacement from eyhhkhekhekhykknhnqn.\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 3*l - 21400 = -l, 5*d + 3*l = 107085. Suppose -47*g = -13*g - d. Is 21 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 16765 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k*k**(-1\/8)*k)\/k)\/((k*k**(-1\/5)*k*k)\/k)*(k**(-2))**(6\/7))**34 assuming k is positive.\nAnswer: k**(-7803\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hl when two letters picked without replacement from hhhhhhlhhhhhhhhhhhh?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = 19*q - 10*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 21984496?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 + -1010011001011?\nAnswer: -1010011001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 233655 (base 7) to base 9\nAnswer: 63766","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 21\/(-35) + (-46)\/(-10). Find the third derivative of 18*v**2 - v**g - 20*v**2 + v**4 + 10*v**5 wrt v.\nAnswer: 600*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-6))\/(2\/12).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111011011 (base 2) to base 11.\nAnswer: 3a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12 and 492?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 383 + -382.5. Which is the nearest to -1? (a) 5 (b) f (c) 32\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**2 + 5718*b + 34416.\nAnswer: -3*(b - 1912)*(b + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1391, 1294, 1197, 1100, 1003?\nAnswer: 906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 72037.76 centuries?\nAnswer: 86445312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 387819 divided by 3?\nAnswer: 129273","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 145\/462 + 17\/66. What is the nearest to 0.1 in 0.3, -143, x, 0.4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -44*l**2 + 22*l + 11. Suppose -4*c - 12 = 4. Let m(d) = 15*d**2 - 8*d - 4. Let z(n) = c*i(n) - 11*m(n). Let y(v) = 2*v**2. What is z(y(s))?\nAnswer: 44*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.04 times 185198481\nAnswer: -7407939.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 + 6*2\/4. Suppose 8 = 2*i - 4*y, 5*i - y = -r + 4. Let p(x) = -x**2 + 7*x - 3. Let t be p(6). Solve i = -4*z + z - t for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -1006*b - 24. Let f be g(-3). Suppose -6*s + 144 = -f. List the prime factors of s.\nAnswer: 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -17 - -3?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -54 - 24*o**2 + 50 + 8*o**2 as u*o**2 + q*o + a and give u.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*f**3 + f**3 - 4*f**3 + (-f**2 + f**3 + f**2)*(-2 + 1 + 3) - 3*f**3 + 2*f**3 + 2*f**3.\nAnswer: 5*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*a**5 + 35272*a**4 + 721152*a**3 + 3139128*a**2 + 2453220*a = 0.\nAnswer: -1239, -15, -33\/7, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3139 + 3*m - 110*m**3 - m + 111*m**3 - 209*m**2 - 1369*m**2 wrt m?\nAnswer: 6*m - 3156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -3*i + b - 4, 0 = -4*i - 2*b + 44. Let a(q) = 2*q + i - q + 0*q - 4. Let u be a(5). Calculate the greatest common divisor of u and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 151 is divided by 38.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (516\/240 + -2)*(4180\/15)\/19.\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(216)\/(sqrt(24)\/sqrt(2)))\/(sqrt(18)\/(-2*sqrt(2))) + 4.\nAnswer: -2*sqrt(2) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 27 = -d. Suppose b + 22 = 5*t, 5*b + 8 = 4*t + 3. Let g = 14 - t. Calculate the least common multiple of g and d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9550 and 47750.\nAnswer: 47750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y = -7*y - 27 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + i - 13 = 0, -2*p + 3*i + 52 = 6. What is the second derivative of p*t**3 - 13 - 23*t + 13 - 34*t**3 wrt t?\nAnswer: -102*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a + 4*a + 12 = 0. Suppose 6520000 = 10*p - a*p. Round p to the nearest one hundred thousand.\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -10, -1\/8, -0.3, -8492.5?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 46 + -18. Is g a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 506.8 - 507. Which is the nearest to 1\/4? (a) -2 (b) -2\/13 (c) n (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -18972, -18891, -18766, -18597, -18384?\n\"Answer: 22*r**2 + 15*r - 19009","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 39*a**3*f + 353310*a**3 + 1415*f**3 wrt f.\nAnswer: 39*a**3 + 4245*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 5*k + 6. Let n = -0.012 - 3.748. Let t = n - -3.7. Sort k, t, -1 in descending order.\nAnswer: t, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o + 3*c + 791759, -2375341 = -3*o - 5*c + 6*c. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 323651961?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 191900.\nAnswer: 2, 5, 19, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 - -118890\nAnswer: 118889.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the second derivative of 0 + 4\/3*v**3 - 2*v**2 - 1\/3*v**4 + 5*v. Factor b(c).\nAnswer: -4*(c - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -3*m**5 - 2469*m**4 - 31614*m**3 - 19284*m**2 + 126504*m + 116640 = 0.\nAnswer: -810, -12, -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + d**4 + 8379*d - d**2 - 10*d**3 - 8386*d - 5*d**3 to the form u*d + w*d**4 + r*d**3 + j*d**2 + t and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22083.\nAnswer: 3, 17, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**3 - 32*j**2 - 226*j - 114. What is the hundreds digit of u(-33)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) -3 (c) 5\/4 (d) -663 (e) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6\/(-4))\/(18\/312). Let a be 6\/39 - (-4)\/r. Let y(d) = d + 29. What is the units digit of y(a)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the first derivative of -v**4\/4 + 2*v**3 - 2*v**2 + 2*v - 5. Let o = 25 - 20. Give c(o).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3056 - 2872. Calculate the remainder when 694 is divided by y.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 226 + 224. Suppose z = g - t, -2*t + t = g - 444. What are the prime factors of g?\nAnswer: 3, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -6*i**3 + 12*i**2 - 18*i + 17. Let l(n) = 7*n**3 - 12*n**2 + 19*n - 18. Let a(v) = 5*l(v) + 6*w(v). Let u be a(11). Is (194\/3)\/(u\/(-105)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**2 - 7*f - 3. Let n be (-4)\/(-6) + (-70)\/(-3). Suppose -15*w + 81 = 21. Suppose 0 = -6*y + 2*y + 3*o - w, -2*y = 4*o + n. Determine s(y).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j - o - o + 6190, 5*o = -2*j + 6187. Suppose 0 = -5*l + l + j. Suppose 132 - l = -2*f. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2c827 (base 15) to base 3.\nAnswer: 21021222001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.01861687 - 53.066218.\nAnswer: -53.04760113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61627 is divided by 521?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 - 270 = 18*a - 32 for a.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -73, 3, -2, -1, 5, 1 in increasing order.\nAnswer: -73, -2, -1, 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 - 55?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 + 12. Let u = p + -9. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -153 - 3500?\nAnswer: -4053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*d**2 - 17810*d - 14850.\nAnswer: 2*(d - 1485)*(6*d + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 69163 a multiple of 169?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) 1\/8 (c) 7 (d) -32 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 76*p**2*v + 34*p**2 wrt v.\nAnswer: 76*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 1.846641 months?\nAnswer: 0.00015388675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 - 5. Solve 0 = d*x - 0*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 140*r**2 + r + 28. Is y(-7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4\/39 or 1?\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85*w + 87*w = 624. Suppose 0 = -5*x - w + 477. Suppose 0 = f - 4 - 7. What is the greatest common divisor of x and f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -142 - -141.897. Let r = h - -0.0862. Round r to 2 decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = 13*a - 9 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 19.776 - 19.276. What is the nearest to -2\/5 in -0.4, -12, -0.1, x?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(51)\/sqrt(3)*-3 - (2 + (sqrt(17) + 1 + sqrt(17) - sqrt(17))))**2*3.\nAnswer: 72*sqrt(17) + 843","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 2774*f**2 + 2*f. Let w be b(2). Round w to the nearest 1000.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 847a10 (base 16) to base 10\nAnswer: 8682000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d - 2. Let a be n(2). Let t(h) = -2*h - 4. Let l be t(-3). Let p = -0.6 + 4.6. What is the third biggest value in l, p, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 44015 (base 6) to base 5\nAnswer: 143214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:44 AM and 5:24 AM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11539 + -11553 - (-2 - (-2 - -75)).\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 + 29236.\nAnswer: 29219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 5*m + 9. Let j be t(-6). Let r = j - -35. Let q = 91 - 38. What is the remainder when q is divided by r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -22 and 26057.\nAnswer: -573254","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1179\/5 - -235. Let t = -9\/10 - -2\/5. Put 1, s, t in decreasing order.\nAnswer: 1, t, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -3*c + 14 + 2, -25 = 5*r. Suppose c*h - 3*l = -6 + 1, 3*h - 35 = -4*l. Solve 5*y = -h*k - 5, 4*k = 5*y - 2*y - 25 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 66 = -214. List the prime factors of c.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 631686994?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11000100110110 (base 2) to base 8.\nAnswer: 30466","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*s - 7 - 541 = 136 for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -159.81 - 2.65. Let h = -27.15 + n. Let i = h - -191. What is i rounded to 1 decimal place?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 10 = 5*r, -3*r + r = s + 2 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**3 + 21*n**2 + 20*n + 2. Let m be t(-20). Suppose -4*o + 70 = 2*h - 2*o, 0 = -m*o - 6. Suppose h = -p + 134. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13381*-18.\nAnswer: 240858","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 483312?\nAnswer: -1\/161104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in five eighths of a millimeter?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes before 6:51 AM?\nAnswer: 4:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -10 + -4?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 42 + -41. Which is the fourth smallest value? (a) -0.5 (b) -4\/3 (c) 0 (d) p\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 8, 2, -3\/41, 0, -1?\nAnswer: -3\/41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -p**3\/4 - 2393*p**2\/2 + 24014*p - 76896 = 0.\nAnswer: -4806, 4, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*m + 0*m**3 - 16*m**3 + 20*m.\nAnswer: -16*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 a, 1 y, and 1 n when four letters picked without replacement from ywawwaaqaabqanqaywn?\nAnswer: 28\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -2*s**3 + 12*s**2 + 13*s - 3. What are the prime factors of l(-7)?\nAnswer: 2, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 114 and 1494?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -483 - 13.\nAnswer: -496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v + 2*q - 345 + 99, 0 = -3*v - 4*q + 177. Let o = -9 + v. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h + 5*v = 11*h - 26, 0 = -5*h + 2*v + 41. Suppose 45 = -0*a - h*a. Put 2, a, -3, 1 in increasing order.\nAnswer: a, -3, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the third derivative of c**8\/336 - c**7\/210 - c**6\/120 + c**5\/60 - 4*c**2. Factor o(z).\nAnswer: z**2*(z - 1)**2*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4404 - -4420. Solve w + 4 = 3*s + 2*w, -3*s - t = 5*w for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53400 (base 6) in base 9?\nAnswer: 10870","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/20 + 402\/3795*-2. Which is the second biggest value? (a) 3\/5 (b) k (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(931) + 3 - (sqrt(76) + -4))*-6)**2.\nAnswer: -113184 - 15120*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 36416276?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1384 and -1310153.812?\nAnswer: 1311537.812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 208 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 259, 204, 111, -20, -189, -396?\nAnswer: -641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -319 + 337 + 0 + -15.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times -51.6\nAnswer: 25.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**3 - 21779745*l**2\/4 + 5444937*l\/4.\nAnswer: -3*l*(l + 1814979)*(4*l - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1017 - -718. List the prime factors of r.\nAnswer: 5, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.5 times 129.98?\nAnswer: 194.97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 - 4*i - 1)*(-i**2 - 2 + 2) in the form w*i**3 + s + r*i**2 + m*i and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 21*p - 816 - 759. Let d = 85 - p. Suppose -5*q + 4*a = 2 - 0, -5*a = 5*q - 25. Solve -3*h + d = -q for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44161 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 - -3. Let r be j\/(-2)*-2*4. What is the second derivative of -r - t**2 - 3*t + 8 wrt t?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5480 + -5480. Let h(u) be the third derivative of 1\/240*u**6 + 1\/24*u**4 - 1\/40*u**5 + 0*u - 7*u**2 + v*u**3 + 0. Determine z so that h(z) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/10, -4, 2608 in descending order.\nAnswer: 2608, -1\/10, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**3 - 6*h**2 + h + 5. Let v(j) = j**2 - 5*j. Let w be v(3). Let g be u(w). Which is smaller: 0 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (8\/(-24))\/(1\/(-33)). Let z = 15 - k. Solve -z*j + 10 = -2*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 6*y**2 + 5*y + 2. What are the prime factors of r(-3)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0, 351 in increasing order.\nAnswer: 0, 1, 351","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s - 7*s + 445. What is the remainder when s is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 38\/15 - 11\/5. Let s = -236 - -234. What is the smallest value in -0.1, s, q, 1\/4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24 - (-74 - (9 + -44))\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -11 - ((-108)\/6 + -22337)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 96*(-52)\/(-3536)*-17.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 - -58cb08?\nAnswer: 58cb08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 14029 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 2 = 34. Let g be 60\/(-14) + (-4)\/(-14). Let k be 18800003\/g + 6\/b. Round k to the nearest 1000000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-30)\/(-40))\/((-9)\/(-8))\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 - 7. Let a(x) = 14*x**2 - 3*x - 3. Is a(l) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 140*y - 6600 = 28*y - 152*y for y.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2677 - f + 2677 + 10*f.\nAnswer: 9*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12*u**2 - 4*u**4 - 8*u - 12*u**2 wrt u?\nAnswer: -48*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 40042719 or 40042718?\nAnswer: 40042719","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**3 - 4*w**2 - 2*w - 5. Let j be o(-4). Let n be j*3*(-5 - 4). Let p = n + 119. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -5*y**3 + 10*y**2 + 4*y - 4. Let z(a) = 6*a**3 - 11*a**2 - 5*a + 5. Let h(n) = 7*m(n) + 6*z(n). Determine h(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1353)\/2255 + ((-4)\/18 - 138952\/(-45)). Calculate the highest common divisor of c and 189.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 313519 and 45733?\nAnswer: 551","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -348, -626, -904, -1182, -1460?\n\"Answer: -278*u - 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -273544 + 273544 - 1964*r as o*r + g and give o.\nAnswer: -1964","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15, 27, 31, 21, -9, -65, -153, -279?\nAnswer: -449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2)\/(-6))\/(5\/60). Let m = -5968 + 5967.46. What is the biggest value in m, u, 1\/6?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r = 3*t + 25, -2*r + 2 = -t + 1 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -4*g + 13. Suppose -59*y + 400 = -19*y. What is p(y)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*f**2 - 3*f**2 + 5*f**2 + (-3*f**2 + 2*f**2 + 3*f**2)*(-3 + 2 + 3) + (f + 4*f - 3*f)*(-1 + 1 + f) - 3*f**2 - 17 + 17.\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((16\/27)\/8)\/((-4)\/(-6)). Which is the closest to -0.08? (a) 1 (b) l (c) -4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 816 to the power of 1\/2, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4009 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*d*x**5 + 80392*d*x**3 + 3415*d*x**2 + 33*d*x - 2*d + 2 wrt x.\nAnswer: -480*d*x**2 + 482352*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*l - 104 - 138 = -26 for l.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -2.815*-18\nAnswer: 50.67","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 3*k + 3. Let v be a(-3). Let b(i) = -5*i - 10. Let p(l) = -l - 2. Let y(u) = -b(u) + 6*p(u). Calculate the remainder when y(v) is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 8*w + 5*o = 5, -3*w - 37 = -5*o. Put -2\/5, 1\/3, w, 3.2 in increasing order.\nAnswer: w, -2\/5, 1\/3, 3.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1037475 and 13311?\nAnswer: 783","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 103178866?\nAnswer: 2, 7, 37, 139, 1433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13*b**2*d**2 - 7831*b**2 - 47*b*d**2 + b - 142*d**2 + 41 wrt b?\nAnswer: -26*d**2 - 15662","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 108, 0.2 in decreasing order.\nAnswer: 108, 0.2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 169 + -167. Let a(o) = -11*o**2 + 9*o**d - o**2. Let x(v) = 12*v**2. What is x(a(u))?\nAnswer: 108*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 2 = 19. Suppose h = 6 + 23. Let f = h - 25. Put -5, s, f in ascending order.\nAnswer: s, -5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-9) + (-166)\/(-18). Let t be (-4)\/18 - (-140)\/(-18). Let s = h - t. Calculate the remainder when 49 is divided by s.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 19*n**2*q**2*w + 12022637*n**2 + 2044548*n*q**2*w - 35*w wrt n?\nAnswer: 38*q**2*w + 24045274","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 16*f + 213. Let h(z) = 144*z + 1917. Let m(p) = -3*h(p) + 26*k(p). Calculate m(-13).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 587*k**3*m**2 - 584*k**2*m**3 - k*m + 4*k - 89*m**3 - 12*m**2 wrt k?\nAnswer: 3522*k*m**2 - 1168*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-5) + (-286)\/(-10). Suppose 3*m + a = 4*m. Is 13 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 183\/13 - ((-8)\/(-84))\/((-1256)\/(-197820))?\nAnswer: -12\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**3 + 8*r**2 - 22*r - 60.\nAnswer: 2*(r - 3)*(r + 2)*(r + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -21 + 6. Sort -1, j, 6 in increasing order.\nAnswer: -1, j, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 6 = -7*v. Suppose 6 - 10 = -u. Is 209 + v + (u - 4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-2\/65))**(-45\/7)\/((k\/k**(15\/2)*k)\/(k*k**(-32)*k)) assuming k is positive.\nAnswer: k**(-799\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.72240571 less than 0.049?\nAnswer: 0.77140571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**3 - 2*x**2 - 2*x + 1. Let i be q(3). Suppose i*p + 4 = 2*z, -2 + 10 = 4*z - p. Factor 6*g + g - 2 + 0*g**2 - 5*g**z.\nAnswer: -(g - 1)*(5*g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 2*l - u, 0*u - 1 = u. Let s be 8\/(-40) + 52\/10. Suppose 5 = r - s. What is the lowest common multiple of r and l?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.139411866 rounded to two dps?\nAnswer: -1.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 5 = 4*j. Let g be (-6)\/2 - (-4)\/j. Suppose -10*i + 6 = -16*i. Is g > i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*z**2 + 7*z**2 - 5*z**2 - 110*z**2 - 44*z**2 + 32*z**2 + (0*z - 3*z + 2*z)*(-4 + z + 4).\nAnswer: -119*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 1 + 7. What is the second derivative of -2*x + 2 - y - 4*x**2 + 2*x**2 wrt x?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*x**2 + 16*x**2 - 22*x**2 - 28*x**2.\nAnswer: -49*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-5 + 1 + (1 + sqrt(425) - sqrt(425)) + sqrt(425) + -5 + sqrt(425) + sqrt(425)*-2 - -5*(-5 + (sqrt(425) - 2*sqrt(425)))*2)**2.\nAnswer: 5800*sqrt(17) + 45859","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*z**4\/13 + 1228*z**3\/13 + 6026*z**2\/13 - 496*z - 840\/13 = 0 for z.\nAnswer: -30, -7, -2\/17, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, 30, 2, -47, 3, -2839?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -581 + 635. Let n(w) = -w**2 - 8*w - 1. Suppose -5*i - 20 = 3*j, 20 = -0*j + 4*j. Let v be n(i). What is the highest common divisor of b and v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 - -11. Let g(w) = -w + 5. What is the units digit of g(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4546*q + 188276 = -1748*q + 31588 for q.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 2, 6\/7, -0.1 in ascending order.\nAnswer: -0.1, 6\/7, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.2 - -2.5. Let w be (-2)\/(-14*(-1 + 2\/4)). What is the closest to w in -1\/4, -4, x?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-59)*(6 + -5). Is -1 at most x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3040 is divided by 144?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*a - 54 = 67*a. What is the second derivative of -3*r**2 + 2*r + 350 - 345 - 2*r**5 + a*r**5 wrt r?\nAnswer: 320*r**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 e when two letters picked without replacement from {m: 5, e: 5}.\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3 - (-12 + (3 - -1)). Suppose 4*n + n = k*g - 30, -4*g + n + 18 = 0. Solve 0 = 5*u - g*x - 16, -3*x - 11 = -5*u + 6 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -123364*w + 1233638. What is z(10)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*t + 12*t = -10, 0 = 5*u + 5*t - 60325. What are the prime factors of u?\nAnswer: 2, 3, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 95 a factor of 13015?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 3803 divide 988019400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*n - 36 = -44*n for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) 0.8 (c) -10383550\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5594.834938 - 0.2?\nAnswer: -5595.034938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -3*l**2 + 868*l - 277. Calculate i(289).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - -11) + (-4 + -1 - -3)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4618 rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -17218\/5 or -3445?\nAnswer: -3445","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 995674 to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-48)\/(-16) - (0 - -1). What is the third derivative of 2*c + c**s + 152*c**3 - 106*c**3 + 9*c wrt c?\nAnswer: 276","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) 0.3 (c) -16 (d) -6 (e) 5\/3 (f) -0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10759514 and 36130.\nAnswer: 53797570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67508 + 22318 = -5*a. What is the thousands digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -45*t**5 + 593*t**2 - 593*t**2 + (t**3 - 2*t**3 + 0*t**3)*(0*t**2 - 6*t**2 + 4*t**2) + 2*t**5 - 3*t**5 + 4*t**5 + 3*t**5 + 2*t**5 - 6*t**5.\nAnswer: -41*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 + -1920739681.\nAnswer: -1920739681.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2096.\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (6 - (-136)\/(-24)) + (-4)\/3. Let t(h) = -3*h - 19. Let v be t(-5). Sort v, 4, w, 5 in descending order.\nAnswer: 5, 4, w, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:50 AM and 8:39 AM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -5 (b) 1 (c) -0.4 (d) -0.6 (e) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**3 - 9*r**2 - 8*r + 2. Let z be q(-8). Solve 6*k - z*k = -4 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 - 15 = 2*h. Let k be h\/110 + (-2)\/(-10). Factor 0*r**2 + 4\/11*r**3 + 2\/11 - k*r - 2\/11*r**4.\nAnswer: -2*(r - 1)**3*(r + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1792 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 8.2 - 11.75908\nAnswer: -3.55908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 130 + -134. Which is the closest to -0.1? (a) -0.3 (b) u (c) -18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the first derivative of l**3\/6 + 15*l**2\/4 - 8*l + 429. Factor c(i).\nAnswer: (i - 1)*(i + 16)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.6140065 take away -23?\nAnswer: 30.6140065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -123*r**4\/8 - 630*r**3 - 53505*r**2\/8 - 5925*r + 297\/2 = 0. Calculate r.\nAnswer: -22, -18, -1, 1\/41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 199479 to the nearest integer?\nAnswer: 447","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 696.222913 to two decimal places.\nAnswer: 696.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-1 + (((sqrt(72)\/sqrt(4) - sqrt(18)) + sqrt(18))\/sqrt(6) - (sqrt(3) - ((sqrt(3)*-4)**2 + 0)))*4).\nAnswer: 382","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 + -6. Suppose -c = 3*n, -21 + 8 = -2*i + 5*n. Suppose i*m - 4*u - 2856 = 0, 2011 + 1564 = 5*m - 4*u. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/96)\/(5\/20)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1077164.\nAnswer: 2, 11, 24481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(117) + sqrt(117)*-1 - (sqrt(1300) + -1 - sqrt(1300))**2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**2 + 2*b + 7. Let f be v(7). Let g = f + 31. Suppose j - 4*o = 62, -o = g*o + 4. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -173218, 5, 0, 66, 3 in descending order.\nAnswer: 66, 5, 3, 0, -173218","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1055, -1047, -1033, -1013, -987?\nAnswer: -955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in 1\/4, 0.2, 4, -0.03?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.74 minus -2624263.3854?\nAnswer: 2624262.6454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(23\/4)\/t)\/t**33*t*t\/((t**(-10)\/t)\/t)*t**(-11)*t assuming t is positive.\nAnswer: t**(-97\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -4*s**2. Let m(a) = -3393*a**2 + 9*a. What is m(i(l))?\nAnswer: -54288*l**4 - 36*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 n, and 1 d when three letters picked without replacement from {d: 1, n: 1, t: 1, u: 1, a: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3760 + -3765. Which is greater: p or 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 80\/40 + ((-180)\/12)\/((-3)\/8). Calculate the highest common divisor of 448 and z.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -7*w**2. Let p(z) = -18 - 831*z**2 - 846*z**2 + 1684*z**2. Give h(p(l)).\nAnswer: -343*l**4 + 1764*l**2 - 2268","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 8*w - 72. Let p be l(9). Solve p*g + 25 = -5*u - 5*g, -5*u - g = 5 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(504) - (sqrt(504) + 1*sqrt(504)*2))\/(3*(sqrt(112) + sqrt(112) + -2*sqrt(112) + sqrt(112)) + sqrt(112) + sqrt(112))*-3.\nAnswer: 9*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23 is divided by (-3)\/(-6)*28 + -2.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -19 + 21. Let x be (3\/u)\/(5 + 7435\/(-1490)). Suppose 146 = 3*p + r, -4*r - 67 = -4*p + x. What is the remainder when p is divided by 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 25 - 15. Calculate the remainder when 25 is divided by c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3*3\/27)\/(7 + -6). Let u(x) be the first derivative of -t*x**3 - 5\/2*x**2 - 2 - 2*x. What is u(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1347921\/2*k - 3483\/2*k**2 - 173881809\/2 + 3\/2*k**3.\nAnswer: 3*(k - 387)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mgm when three letters picked without replacement from mmmmmmgmgmiimgimmi.\nAnswer: 55\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/4, 4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 246148, 245674, 245198, 244720, 244240, 243758, 243274?\nAnswer: 242788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2, -8, -17.8, -1, -1\/4?\nAnswer: -17.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**3 - 154*i**2 - 955*i - 815. Determine j(160).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -2*z**2 - 15*z + 9. Let x be l(-8). Let v be (12\/48)\/(1\/20). Solve 21 = -v*g + x for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*i**5 - 14*i**3 - 117*i**2 + 1 wrt i.\nAnswer: 420*i**2 - 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -420045 divided by 5\nAnswer: -84009","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f. Let r(m) = 11*m**2 + 5*m + 3. Calculate n(r(q)).\nAnswer: 11*q**2 + 5*q + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -1161*r**2 - 1180*r + 2. Calculate q(-1).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 120 (base 4) to base 12.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.21, -5\/4, 3, 5, 0.5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 326 is divided by 16?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 354*l + 1799. List the prime factors of f(28).\nAnswer: 7, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = -x - 5. Let v be 0 - -13 - (26 + x). What is the third biggest value in 4, 3, v, -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 7047.533 kilometers?\nAnswer: 7047533000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n. Let o(v) = -3*v + 46. Let w(d) = o(d) - 4*r(d). Is w(0) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 38.009632 to the nearest 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 95, -18, -127, -232, -333, -430?\n\"Answer: 2*p**2 - 119*p + 212","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, d: 2, a: 1, x: 2, t: 3, u: 4}. Give prob of picking 1 t and 1 x.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1368323858?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1073\/2 - 524. Let n = -12 + j. Which is the closest to n? (a) -2\/3 (b) -1\/6 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 608627101 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -10014, 7, -2, -6, 2 in ascending order.\nAnswer: -10014, -6, -2, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d - 1. Let l be t(6). Suppose -2*g - 2 = -3*c, -l*g + 13 = -0*g - 3*c. Suppose 2*z = -1 + g. Solve z = 2*k + 4, 3*x + 2*k = -5 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 6, 3, -36, -16, 4, 41.\nAnswer: -36, -16, -4, 3, 4, 6, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1738)\/(-3) + 10\/15. Suppose g = -16*u + 20*u. What are the prime factors of u?\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 13 + 3b5b40?\nAnswer: 3b5b53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**3 - 6*s - 8. Let u be r(4). Find the common denominator of 29\/1308 and (-680)\/u + -2 + 2.\nAnswer: 1308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 - 8. Let j(g) = -g - 3. Let f be j(v). Suppose 0*u = f*u - 70. What are the prime factors of u?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 37 = -49. Suppose -i*x = 4*h - 0*x - 56, 3*h - 48 = 3*x. What is the greatest common factor of h and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12465*a + 4019*a - 18180 = -4136*a - 4130*a for a.\nAnswer: -101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -251*o = -236*o + 105 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 divided by 280925.\nAnswer: -6\/280925","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 15 = 9. Let j be (-72)\/6*(-2)\/v. Suppose 8*m - 180 = j*m. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*b**2 - 5 + 2 - 2*b**2 + 4*b**2 - 2415819*b.\nAnswer: -2*b**2 - 2415819*b - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3092*i + 3955*i + 584901 for i.\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -371 divided by 696?\nAnswer: -371\/696","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 261\/1566583 or 1?\nAnswer: 261\/1566583","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**1)**(6\/11)\/((m*m**1)\/m)**(-8\/19) assuming m is positive.\nAnswer: m**(202\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 plus 23438?\nAnswer: 23435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 6, m: 1, t: 4, l: 3, j: 3, y: 2}. What is prob of picking 1 y and 1 n?\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 2*c**2 - 4*c + 4. Let o be r(2). Let l = 6 - 3. Suppose -3*b - 2*b = -2*i - 18, 0 = l*i - 3. Solve b*q - 2*q + o = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 2*i**2 + 25*i + 8. Determine n(-13).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -84951*m**2 + 359689 with respect to m.\nAnswer: -169902*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*w**2 + 3*w**2 - 4*w**2)*(4*w**2 - 2*w**2 - w**2) - w**4 + 9*w**3 - 9*w**3 as m*w + b*w**4 + j + a*w**2 + k*w**3 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/(-6) + 1\/3. Suppose -4*g - 4 = 3*d, -5*g + 18 = -d + 4. Suppose -o + 6 = g, -4*o + j = -5*u. Is u a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 2*y + 32. Let c = -57 + 59. Suppose 3*t - c*h + 8 = -32, 70 = -5*t + 4*h. Let l be m(t). Solve w = 2*r - 6, w + 0*w - l = -4*r for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/6*2 + 897\/(-108). Let p = 2\/9 + f. Which is greater: p or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -29, 32, 211, 568, 1163, 2056?\nAnswer: 3307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -i - 9 - 7, 0 = 2*b - 5*i - 28. Suppose b*n - 18 = 2. Suppose -12 = -3*c, -2*m + 22 = -c + n*c. Solve m*g + 0*g = 9 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -2*q - 10. Let z be y(-8). Solve -z = -i - 2 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9822 = -8*v + 8578. Suppose 6*n - v - 6694 = 0. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.11? (a) 11\/4 (b) 2\/11 (c) -13961\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**3 - g**2 - g - 1. Let k(j) be the third derivative of -2\/15*j**5 + 0*j + 3*j**2 - 1\/15*j**6 - j**3 - 3\/8*j**4 - 15. Calculate k(d) - 6*m(d).\nAnswer: -2*d**3 - 2*d**2 - 3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**3 + 17*n**2 + n - 9. Let d be h(17). Suppose -d*s + 1199 = -2345. Suppose -8*c + s - 59 = 0. What is the least common multiple of 10 and c?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -214 + 117. Let g = 97.000118 + s. Round g to five decimal places.\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -994 - -993.8838. Let y = -0.6752 - g. What is y rounded to one dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 819.\nAnswer: -819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**2 - 7*y - 1. Let k be q(8). Let m(n) = 13*n + 16. Let u(b) = 9*b + 11. Let f(g) = k*u(g) - 5*m(g). What is the first derivative of f(w) wrt w?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8389 = -89*t - 2278 - 13 for t.\nAnswer: -120","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 431 is divided by 40.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 (base 10) in base 6?\nAnswer: -53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) -2\/7 (b) 2\/7 (c) 0 (d) 3 (e) 699 (f) -0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1210)\/44*((-90)\/25 + 4)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 13\/4 of a millennium?\nAnswer: 39000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -35733, -35745, -35767, -35805, -35865, -35953?\n\"Answer: -g**3 + g**2 - 8*g - 35725","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from {z: 5, h: 4, m: 2}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a gram in milligrams?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 2*b**3 - b**2 - 9*b + 87. Let h be n(0). Suppose 2563 = 5*f - h. Is f a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*c + 4*c + 35*c - 3*c - 23*c + 2*c.\nAnswer: 8*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 26462 - -16338. Let s(j) = -j**3 - 7*j**2 - j - 4. Let k be s(-7). Suppose -k*t = t + v. Round t to the nearest one thousand.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 60576 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 747 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -116.369 + 4.319. Let q = t + 2.05. Let u = 110.0000752 + q. What is u rounded to 5 dps?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -9*t**2 - 164*t + 96382. Give n(-113).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -2*s - 4. Let w be j(-4). Let t(p) = -2*p**2 + w*p**2 + p**2 - p**2. Let r(a) = 6*a**2. Calculate r(t(k)).\nAnswer: 24*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 + -5. Let j = -7317 - -7317. What is the second smallest value in -1, j, p, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5754?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-30)\/6*(4 + (-33)\/15). Let q = 1.2 - 1. What is the second smallest value in v, q, -0.1, 1\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -2*c**2 - 80*c + 365. Give x(-44).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6763 + -6762. Is n greater than or equal to -38\/295?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 0.8878285 years?\nAnswer: 0.008878285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-60)\/25 + 2 + 2\/((-80)\/36264). Is z not equal to -899?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -76223530, -152447063, -228670596, -304894129, -381117662, -457341195?\n\"Answer: -76223533*m + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 2*d**3 - d. Let n = -529 + 533. Let u(y) = y**3 - y. Calculate n*o(x) - 4*u(x).\nAnswer: 4*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -10*r + 15*r. Find the third derivative of -5*u**4 + 272*u**2 - 5*u**4 + 3*u**r + 96*u**3 - 2*u**4 + 13*u**4 wrt u.\nAnswer: 24*u + 576","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003799084 rounded to four dps?\nAnswer: -0.0038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*d + 314*d**2 - 10*d - 6 + 10*d**2 + 451*d**2 to v + t*d**2 + n*d and give t.\nAnswer: 775","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-7)\/(-2) - (-1)\/2. Let m = 1.27 - 0.27. Let g = -0.9 + m. What is the closest to g in v, 2\/3, 3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - -5)*(-5)\/(-40)*4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 16*d + 144 - 0 for d.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -28*q**3 + 10*q**2 - 13*q - 6. Let s(h) = -42*h**3 + 15*h**2 - 19*h - 9. Let j(r) = 5*s(r) - 7*v(r). Is j(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**3 + 2*p**2 - 4*p + 2. Let y(n) = n**3 - n**2 + 3*n - 1. Let b(z) = -4*d(z) - 5*y(z). Let g be 3\/30*8*15\/(-2). What is the tens digit of b(g)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5601496 + -3034999. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7.56 + -7.5. What is the second biggest value in 1\/6, -0.2, 4, q?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/13 or -4329\/5?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3002, -2939, -2776, -2465, -1958, -1207?\nAnswer: -164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dtzttzzzttttzd. What is prob of sequence zdt?\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1440221*i*x - 2935254*i + 2*x wrt x?\nAnswer: -1440221*i + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 301051807?\nAnswer: 7, 23, 41, 59, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -9*x**2 - 15*x + 9. Let j(h) = h**3 + 1. Let n(t) = -j(t) - m(t). Suppose -s = 4*k - 22, -5*s - 4*k = -59 - 3. What are the prime factors of n(s)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1537, 7208 in decreasing order.\nAnswer: 7208, 3, -1537","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 26.74290369411+-0.3\nAnswer: 26.44290369411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1541751 to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 89.694 rounded to the nearest one hundred?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -5.89 from 0.9932.\nAnswer: 6.8832","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11696 and 4720?\nAnswer: 3450320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 25*q + 1855087 - 1854662 for q.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3194 = 13*l - 1057. Is l greater than or equal to 327?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-14\/9)*y\/(y**(5\/8)\/y))\/((y\/(y**20\/y))\/y**(2\/41)) assuming y is positive.\nAnswer: y**(52747\/2952)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -5 - ((-261)\/(-12) - (-50)\/(1400\/(-588)))\nAnswer: -15\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 693229.3 years to centuries.\nAnswer: 6932.293","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 30991 by 17.\nAnswer: 1823","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/8 and -85\/118.\nAnswer: 472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 215\/4 - 2377\/44. Let d = -5 - -7. What is the nearest to d in i, -0.4, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -516*x + 9 - 827*x + 220*x to k + n*x and give n.\nAnswer: -1123","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(-31)*29\/145\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19051 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -304 - 1039668732?\nAnswer: -1039669036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0+5822\nAnswer: 5822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*v + 3*v**2 + 24663664 - 24663664.\nAnswer: 3*v**2 - 3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*f - 0*f - 229 - 112 for f.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64650133.\nAnswer: 17, 3802949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 6)*(1 - 2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 6*a - 53. Let n(d) = 1. Let l(b) = -f(b) - 6*n(b). What are the prime factors of l(0)?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, x: 6, w: 3, y: 2}. Give prob of picking 1 q and 1 y.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -3*k + 9. Let b be 12 + -10 + 4\/(-2) - -2. Suppose b*p - k = p. Solve -p*d = -7*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10792 is divided by 9960.\nAnswer: 832","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -l - 8. Solve j - l = 1 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2598 - -2614. Solve -21 = -b*n - 53 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 45342055?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**3 - i**2 + 6 - 3 - 4 + 12*i. Let g = 215 - 216. Let o(p) = p**2 - p + 1. Let y(f) = g*m(f) - 5*o(f). Give y(6).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*s = -15*s - 148. Let h = s - 39. Let d be (-4)\/(-4)*(-1 - 24). Put 4, d, h in decreasing order.\nAnswer: 4, h, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 27ac - -3259?\nAnswer: 5a38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -7*n**4 - 5*n**3 + 7*n**2 - n - 6. Let c(t) = 15*t**4 + 11*t**3 - 15*t**2 + 2*t + 13. Let w(a) = 6*c(a) + 13*l(a). Factor w(m).\nAnswer: -m*(m - 1)**2*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7\/3, 5, -37, -0.05, -1634 in ascending order.\nAnswer: -1634, -37, -7\/3, -0.05, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-3)\/18)\/1 + (-4465)\/(-285))*-2.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 6) to base 16.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1970148, -3940130, -5910112, -7880094?\n\"Answer: -1969982*m - 166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 32 + -63\/2. What is the nearest to z in 3, -3, 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31966 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((sqrt(325) + 3)*-5 + (-5*sqrt(325)*1 - sqrt(325)))*6)**2.\nAnswer: 534600*sqrt(13) + 12814200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -91.5 - -87. Let f = 7.5 + b. What is the smallest value in -3\/7, f, -3, -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v**4 - 6*v**4 + 3*v**4)*(3 + 3 - 4) + 4*v**4 - 6*v**4 + v**4 - v**4 - 2*v**4 + 5*v**4 + (-v**2 + 3*v**2 - 4*v**2)*(2*v**2 - 2*v**2 + 2*v**2).\nAnswer: -5*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from djjasjjtdjjjjtjjjxx. Give prob of picking 1 a and 2 x.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1426 is divided by 605?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0*(6\/(-2) - -2). Let m = 21 - 37. Let v = -17.3 - m. Is s != v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 2*s. Let v(n) = -n**2 + 9*n. Let c(u) = -9*t(u) + 2*v(u). Let p(a) be the first derivative of 2*a**3\/3 - 28. Calculate c(p(w)).\nAnswer: -8*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.0514433 + 11.9485067. Let p = -12 + a. What is p rounded to five dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -2*c**3 + 11*c**2 + 2*c + 9. Determine i(6).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/54 and 10\/14*1\/((-48)\/(-7))?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4.2871 + -0.2871. Which is the nearest to 0? (a) -1\/22 (b) -2\/3 (c) -0.3 (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes before 6:19 PM?\nAnswer: 12:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 29*h - 5. Suppose -11739 = -18*f + 16035. Let j(g) = -7*g - 1542 + 3086 - f. What is 9*j(v) + 2*m(v)?\nAnswer: -5*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 2 - 3)*(3116 + 618*n - 3116)*(4*n**2 - 3*n**2 - 3*n**2) + 3 + 2*n**3 - 3 to the form l*n**2 + o + w*n**3 + c*n and give w.\nAnswer: 2474","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -104408583 by -34802861.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 25031775 - -47.7263\nAnswer: 25031822.7263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4253\/2995 - 12\/599. What is the nearest to l in -2\/9, -1\/5, 11?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 14 - 2417?\nAnswer: -2403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*p = 74*p + 2*j - 210, 0 = -2*p - 5*j + 93. Solve -16*w = -34*w - p for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nx when two letters picked without replacement from nnjjnjjx?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 100*u**2 - 35*u + 196. Is q(5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11010 - 10110110111?\nAnswer: -10111010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 150 = -3*q, 3*r - 38 = 5*q + 223. Let m be (6\/q*-6)\/((-3)\/(-9)). Solve -2 = x + 2*y - y, -m*y = -4 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = -4*k + 2*r + 52, 4*r = -16. Let p be (-26 - -1)*-1*1. Let t = p - k. What is the remainder when t is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ovvvvvvvo. Give prob of picking 4 v.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 33232582 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**3 - 4*d**2 + 11*d - 6. Let o(t) = -t + 1. Let q(c) = 6*o(c) + r(c). Let p be q(-5). Which is smaller: -3\/10 or p?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14780 is divided by 176.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2528, -5574, -8620, -11666?\n\"Answer: -3046*m + 518","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:53 AM and 7:58 PM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 n when four letters picked without replacement from nnnnnnnnnnnnm.\nAnswer: 9\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*h**3\/7 - 150736996*h**2\/7 + 43067714*h - 150737000\/7 = 0. What is h?\nAnswer: -75368500, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5752.04 + -5752. Put -4\/3, 3, x, 165 in decreasing order.\nAnswer: 165, 3, x, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -721606 + 1056653. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 26, 49, 72, 95, 118?\n\"Answer: 23*c + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10544154.\nAnswer: 2, 3, 31, 83, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 49*l**2 + 72*l - 2. What is z(-2)?\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 3*y - 168 = -6*u, 0 = -4*y + 4. Suppose -4*m - 3*x = -u, 0 = m + m + x - 19. Solve 0*g = -3*g + m for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 620 (base 7) to base 4.\nAnswer: 10310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1042, 4157, 9340, 16585, 25886, 37237, 50632, 66065?\nAnswer: 83530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:07 AM and 8:20 AM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(68) + sqrt(68))**2 - sqrt(306)\/sqrt(2).\nAnswer: -35*sqrt(17) + 288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 247 + -243. Let j = -78 + 166. Suppose c*m = j + 44. List the prime factors of m.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 13*m**2 - 36. What is the remainder when s(4) is divided by 58?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -4*q**2 - 15*q - 14. What is g(-1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 451*p - 456*p + 5810. List the prime factors of p.\nAnswer: 2, 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**4\/3 - 11*w**2\/3 + 6*w - 8\/3.\nAnswer: (w - 2)*(w - 1)**2*(w + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 4, 88, -19.12?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.179, -0.4, -84, 8 in descending order.\nAnswer: 8, 0.179, -0.4, -84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.006443016 less than -35.584?\nAnswer: -22.577556984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wj when two letters picked without replacement from {a: 2, j: 1, d: 4, w: 3}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 36\/31?\nAnswer: 36\/31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 26 and 2626.\nAnswer: 2626","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -469*y + 32819. Give v(70).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-873)\/(-420) - (-5)\/(-10). Let a = 6\/35 + b. Factor 3\/4*v + 0 + 1\/4*v**4 + 5\/4*v**3 + a*v**2.\nAnswer: v*(v + 1)**2*(v + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 29 + -24. What are the prime factors of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -58082 (base 11) to base 10.\nAnswer: -83943","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 3*b**3 + 18*b**2 + 9*b - 5. Let f(a) = 2*a**3 + 12*a**2 + 6*a - 3. Let v(j) = -7*f(j) + 5*w(j). What is the units digit of v(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8.724 - -9.3. Let r = 80 + -80.49. Let z = r + o. Round z to 2 decimal places.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -274 + 194. Let v = 22 - o. Round v to the nearest ten.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -797, -3619, -8359, -15017?\nAnswer: -23593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 490 is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the third derivative of x**5\/15 - 5*x**3\/6 + 4*x**2. Let k(l) be the first derivative of n(l). Let c(g) = g**2 - 84 + 43 + 41. What is c(k(v))?\nAnswer: 64*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 10 (b) 4 (c) -18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + a - 603 = 0, 3*a = 2*m + 435 - 40. Let t = -86 - m. What is the greatest common divisor of t and 406?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -279396, -279395, -279386, -279363, -279320, -279251?\n\"Answer: n**3 - 2*n**2 - 279395","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3274936 to the power of 1\/6, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1162*u**3 - 51*u**4 + 389*u**3 + 2*u**2 + 7 + 383*u**3 + 388*u**3 to m*u**3 + k*u**4 + n + y*u**2 + z*u and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Is 5779 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12704?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -11202111110 (base 3) to base 16\nAnswer: -16deb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-26*(-27)\/1638)\/(6\/28). Let m = 14 + -13.7. Which is the nearest to 0.1? (a) m (b) n (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 351807.6 milligrams in nanograms?\nAnswer: 351807600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -5*k**3 - 40*k**2 - 7*k - 52. Determine m(-8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -36501 + 77211?\nAnswer: 40610","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.231032 months in decades?\nAnswer: 0.1352586","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(405)*-1 - sqrt(405))**2.\nAnswer: 10125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 + 5)*(-6*i**3 - 6*i**4 + 6*i**3) + 2*i**4 - i + i.\nAnswer: -40*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the second derivative of -m**9\/42 + m**5\/30 + 5*m**2 + 9*m. Let d(y) be the first derivative of s(y). Find the third derivative of d(i) wrt i.\nAnswer: -1440*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -22989 + 23179. Calculate the remainder when 929 is divided by f.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 0.4 (b) -3\/5 (c) -301 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3842?\nAnswer: 2, 17, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**2 + 7*o + 4. Let k be m(-7). Suppose k*h + 344 = 4*p, 4*p + 2*h = p + 268. Suppose -4*y = -5*d + p, -2*d + 4*y + 40 = -0*d. Is d a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(2\/7)*u**(2\/29))\/(u**(-1\/3)\/u*u*u)**(-2\/19) assuming u is positive.\nAnswer: u**(4916\/11571)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/((0 + -2)\/2). Let x be -1 - (d - (-8)\/(-6)). Let s be (-11)\/10 + (-45)\/(-75). What is the second biggest value in x, 5, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 236 divided by -37.\nAnswer: -236\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.03 + -0.17. What is the closest to h in -5, -2, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*x - 2482 + 2482.\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add -417669793102 and -0.11.\nAnswer: -417669793102.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 265 = 4*k - 375. Suppose 5*d = 3*u - 65, -2*u + 25 = -3*d - 3*u. Is 8 a factor of ((-4)\/d)\/(2\/k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 424 divided by -106\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (290\/(-6))\/((-970)\/582)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 + -5)\/((17 + -16)*(10 - 247\/26))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1100 - -27?\nAnswer: -1095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j**2\/2 - 74127*j\/2 + 37063 = 0. Calculate j.\nAnswer: 1, 74126","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -195619 times 4?\nAnswer: -782476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -5*k**3 - k**2 - 2. Give g(-2).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 300 divide 39597679?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 22917137 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 853, 846, 827, 790, 729?\nAnswer: 638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -2*r**2 - 4*r + 4. Let t(g) = -2*g**2 - 4*g + 5. Suppose 18*v = -4*v - 66. Determine v*t(n) + 4*d(n).\nAnswer: -2*n**2 - 4*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68 = -u + 19. Let z = -45 - u. Solve 0 + z = -4*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5c (base 13) to base 5\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4 and 6676484.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(19) + -3)*-1 + (sqrt(19) + 1*sqrt(19)*4)*1.\nAnswer: 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 2*m - 5. Let p = 17 + -6. What is the smallest common multiple of p and u(5)?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c - z + 4*z + 81, -3*c - z + 85 = 0. What is the remainder when c is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/47086 and 63\/10.\nAnswer: 235430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-128)\/(-320) + (-58)\/70.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the second derivative of z**5\/25 + 17*z**4\/90 - z**3\/15 + 45*z. Determine d so that o(d) = 0.\nAnswer: -3, 0, 1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -0.013, 5, -5 in increasing order.\nAnswer: -5, -4, -0.013, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 21911*b*p**2*x - 73*b*x - 4*b + 2*p**3 + 3*p wrt p?\nAnswer: 43822*b*x + 12*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -3, 6.9, 0, 2\/3 in ascending order.\nAnswer: -3, 0, 2\/3, 6.9, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 8 = -q. Let o be -3 + -15 + q + -2. What are the prime factors of (-3 - -48)*o\/(-20)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -54\/14063 and -65\/162729.\nAnswer: 1139103","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16 - -19. Suppose 0*j = 2*j + 14. Let b(l) = l**2 + 5*l - 14. Let n be b(j). Solve n = p*z + 2*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in twenty-one fifths of a centimeter?\nAnswer: 42000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2160)*2)\/(sqrt(5) - -1*sqrt(5)*-1 - (sqrt(5) + sqrt(315)\/sqrt(7))) + 5)*-2*1.\nAnswer: -10 + 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o - 3. Let g be u(0). Let w be (-16)\/(-6) - g\/9. Suppose 2673 = -3*m - 5*r + 48, -2*r - 2616 = w*m. Round m to the nearest one hundred.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2784*w + 1179*w = 2675*w + 59920 for w.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 26*l + 3. Let c(f) = f**3 - 7*f**2 - f + 9. Let r be c(7). What is the tens digit of m(r)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*-14.176591.\nAnswer: 56.706364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**2 + 5*w - 1. Calculate the remainder when 18 is divided by p(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (198\/(-77121)*-164)\/(-60)?\nAnswer: -2\/285","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 6*m**3 - 9*m**2 + 2*m + 8. Let s(i) = -2*i**3 + 3*i**2 - i - 3. Give -3*d(z) - 8*s(z).\nAnswer: -2*z**3 + 3*z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 4*r = -108, 5*p + r - 14 - 125 = 0. What is the units digit of (-26)\/169 - p\/(-13)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.6118766 less than 0.408?\nAnswer: 3.0198766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -275734480 divided by 1969532\nAnswer: -140","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 91334 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -39924 and -54?\nAnswer: 2155896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**2 + h. Let g be d(-7). Let l = g + 61. Suppose -l*n = -4*p - 3*n - 4, p - 3*n = -6. Solve -2*m + 6*m = p for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 109679548 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 29 (b) 4888 (c) -0.11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -2*x**2 + 28*x - 19. Let c be i(13). Let l(z) = 7*z**2 + z + 21. Is l(c) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -2*i**2 - 43*i + 20. Let v be a(-22). Is 4559 + 17 + 0 + v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**2 - 7*t - 11. Let y be a(8). Let l = -2 - y. Let b be (-1)\/(1*l\/(-2)). Solve 3*v = -b*v + 10 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 + 4. Suppose v - h = -1. Let y be (-6 + 5)\/(v\/(-10)). Sort -5, -3, y in descending order.\nAnswer: y, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -144 and -6\/144587 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g when three letters picked without replacement from {c: 4, g: 6}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 94 + 10 + (87 - (108 - -27)).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -34*q**3 + 37*q**3 - 2*q + 4 - 2 to the form z*q**2 + j + w*q**3 + y*q and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 251503033?\nAnswer: 151, 1665583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9192022 and 1676?\nAnswer: 838","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a hour in seconds?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 287, 29, 0, -2, 8 in decreasing order.\nAnswer: 287, 29, 8, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 w when two letters picked without replacement from ewjejjjwj?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-6)*r)\/r**(1\/6))\/((r*r**(-1\/3)*r)\/r**(-4)) assuming r is positive.\nAnswer: r**(-65\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 313a83 (base 11) in base 4?\nAnswer: 1322310300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g**2\/6 + 296*g\/3 + 14080 = 0. What is g?\nAnswer: -352, -240","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.6 (b) -0.4 (c) -5 (d) -24\/29 (e) -2\/7 (f) 0 (g) 4\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the third derivative of -1\/12*t**4 - 1\/105*t**7 + 0*t + 0*t**6 + 0*t**5 - 2*t**2 + 0*t**3 + 0. Find the second derivative of d(n) wrt n.\nAnswer: -24*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 3723154?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-438060)\/(-1440))\/(-149) + 4 + 1 + (-1 - 2).\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (15\/9)\/((-1)\/3). Let l = 3.8 + 1.2. Let g = l + -1. What is the closest to 1\/4 in g, n, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51472 (base 9) in base 6?\nAnswer: 421015","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 13989, -3\/8, -9?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*v**3 + v + 5*v**3 - 11*v**2 + 0*v + 1681 - 1681 in the form f + g*v + a*v**3 + z*v**2 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-46))\/(7*9\/252).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 4*f**2 + 3)*(-f - 2*f - f + (35*f + 88*f - 10*f)*(0 - 3 + 2)) to o*f**2 + d + j*f + q*f**3 and give q.\nAnswer: -468","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 2*l**2 - 4. Let c(i) = -178181*i**2. Determine o(c(b)).\nAnswer: 63496937522*b**4 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 12625, 12661, 12695, 12727, 12757?\n\"Answer: -m**2 + 39*m + 12587","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5798.0778 rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -19.1431 - -1.1431. Let w = 555 - 1055\/2. Let v = -27 + w. Which is the third biggest value? (a) 2\/15 (b) x (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3.7 times -4504\nAnswer: -16664.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 58007821 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 13*a**2 + 9*a + 9. Let t(j) = -12*j - 18. Let n be t(-3). Let o(v) = v**2 + v + 1. What is n*o(k) - 2*r(k)?\nAnswer: -8*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b*b**4))\/b**(2\/7))\/((b\/b**(-5)*b)\/b**0) assuming b is positive.\nAnswer: b**(-79\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7730 - 6507. List the prime factors of v.\nAnswer: 1223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -9*c + 170. What is u(18)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4477 - -4476. Let t(s) = -67*s**3 - s**2 + 2. What is t(f)?\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36777 to the power of 1\/2, to the nearest integer?\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*f**4 - f**4 - 3*f**4)*(2 - 3 - 4).\nAnswer: -5*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(78) - 5*-3*sqrt(78) - (sqrt(78) - 5*sqrt(78)*-3)))\/(sqrt(18)\/(sqrt(3)*3) + sqrt(600)*-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 0*u = -20. Let q = u - -10. Let f(y) = -y**2 + 15*y - 11. Let o be f(q). Let x(t) = -t**3 + 4*t**2 - 5*t + 3. Determine x(o).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - b + 4, 3*p + b - 2*b = -8. Let k = 56\/13 + -319\/65. Which is smaller: p or k?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1902800\/123 != -15470?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 6011683 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -22867\/58 <= -393?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 413*g + 8668. Determine k(-21).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gmjwzffj. What is prob of picking 1 f, 1 g, and 1 w?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 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 sqrt(34)\/(sqrt(350)\/sqrt(7) - sqrt(2)).\nAnswer: sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 108 or 2\/17?\nAnswer: 108","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67228 is divided by 32?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -3*k**2 + 7*k + 3. Let d = -9 - -8. Let a be (8\/(-6))\/d*-3. Let i(u) = 2*u**2 - 6*u - 2. Determine a*r(b) - 5*i(b).\nAnswer: 2*b**2 + 2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:20 AM and 12:20 PM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 292\/24 - (-2)\/(-12).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1071*t + 3106 = 1709*t - 11568 for t.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 181 is divided by 134?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -42a86 (base 12) to base 16.\nAnswer: -15786","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-1\/6)\/u*u)\/(u*u**(-1\/4)))**(-24) assuming u is positive.\nAnswer: u**22","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15417 - -15416.997482. What is g rounded to 3 dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 + 9. Suppose 4*k = -2*t - 2, -7 = 9*k - 4*k + s*t. Let x = k + 4. What are the prime factors of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 688 + -688.0804. What is h rounded to two dps?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the first derivative of p**5\/40 - 7*p**4\/32 - 53*p**3\/24 - 81*p**2\/16 - 9*p\/2 + 2962. Factor q(w).\nAnswer: (w - 12)*(w + 1)**2*(w + 3)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**3 + 4*u**2 - u - 4. Let y be s(3). Let c be (-24)\/9*(2 - 7\/2). Let q be 1 + (y\/(-1) - c). Put q, 2, -4 in decreasing order.\nAnswer: 2, -4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 297 a factor of 14106015?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ndtccnndtddddlldn. What is prob of picking 2 d, 1 c, and 1 t?\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mzmzhhzh. Give prob of picking 2 h.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o + 3. Let c be k(-7). Suppose 7*l + c = 3. Sort -5, 20, l in ascending order.\nAnswer: -5, l, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26659*h**3 + 26633*h**3 - 53282*h**3.\nAnswer: 10*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -p + 30. Suppose -p*w = -w - 44. Is w a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -45*g**3*p**2*v - 2*g**3*v - 164*g**2*v + 4*g*m*p**2*v + 2*m*p + 2*m*v with respect to p.\nAnswer: -90*g**3*p*v + 8*g*m*p*v + 2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 6*y. Let g(b) = 3408*b**2. Determine g(p(x)).\nAnswer: 122688*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/2295342 and -49\/1311624?\nAnswer: 9181368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*b + 28*b = 32. Calculate the lowest common multiple of 10 - -9 - (1\/1 + 0) and b.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**2 - 1. Let t(j) = -j**2 - 6*j - 5. Let q be t(-4). Suppose 8 = 2*v + 2*s, -7*v + q*s = -3*v - 30. Suppose u - v*u = -10. What is m(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 2, 3*m - 4*d + 57 = 7. Is (-570)\/(-4) - 7\/m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y\/(y\/(y\/(y**(-2\/5)\/y)))*y)\/((y**0\/y)\/y)*(y**(2\/3)*y)**20 assuming y is positive.\nAnswer: y**(596\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -33407912, -33407906, -33407894, -33407876, -33407852?\nAnswer: -33407822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 40461859 to the nearest integer?\nAnswer: 343","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes before 2:59 AM?\nAnswer: 5:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 63.5612123 + -34.56121322. Let u = -31 + 2. Let c = y + u. Round c to 7 dps.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (64\/(-48))\/(8\/(-10))?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -30898 + 30933. Suppose q - 133 = 179. Suppose 2*s = 5*s - q. What is the remainder when s is divided by t?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -91.2 + 90. Let x = t + 20.2. Let y = -23.7 + x. Round y to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 2*r = -1566, 109 = -k - 3*r - 684. Let j = k - -1171. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ig when two letters picked without replacement from bbbbbbbgbbbbbbibbbb.\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 4*p - 24. Let x be t(11). What is the highest common factor of 4 and x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/28)\/((-333)\/444)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -447 = -10*j - 467 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**3 - 3*m**2 + 4*m - 2. Let j be z(2). Suppose 0 = -j*r + 4. Solve r - 6 = h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -150823 divided by 6?\nAnswer: -150823\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 19853938 to the power of 1\/6, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 330 and 66.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h and 1 w when four letters picked without replacement from hlhlhllwhhh.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the first derivative of -7*s**2\/2 + 8. Let y(m) be the second derivative of 1\/3*m**3 + 0 + 0*m**2 + 4*m. What is y(n(k))?\nAnswer: -14*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 5, q: 2, j: 5}. Give prob of sequence ff.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4473\/(-1988))\/(6\/(-8)). Solve -2*j + 9 = 3*x - 4*x, u*x + 2 = j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1390 and 3753?\nAnswer: 37530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (19\/(-3) + 3)\/(7\/(-3801))?\nAnswer: 2, 5, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18bb5 (base 15) to base 16.\nAnswer: 1398e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**2 + r. Let b(y) = 7*y + 2*y**2 + 2*y**3 - 9*y**2 - y**3. Calculate 2*b(p) - 14*w(p).\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 2)*(-1 - h + 1) + 5*h - 2*h - 8*h + (-2 - 1 + 5)*(3*h - 4*h - h) + 0*h + 2*h - 4*h.\nAnswer: -13*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes after 12:20 AM?\nAnswer: 11:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j + 2. Let a be (-1 + 4)*(-10)\/(-6). Let x be p(a). Suppose -x = -q + 1. Is q a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 h, and 1 z when three letters picked without replacement from nhyzy.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -89 + 111. Let k(u) = 48*u - 77. Is k(a) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 g when two letters picked without replacement from {l: 1, g: 2}.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g = 4, -2*g = 2*x - 223 + 207 for x.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eight fifteenths of a millennium?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 5) to base 11.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10306 to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 - 7.48. Let w = 0.51 + s. Which is the closest to 1? (a) -2 (b) w (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 72681 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-87)\/5)\/(142216\/(-24520))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -223 (base 4) to base 15\nAnswer: -2d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1))**30\/(j*j**(-9)*j*j*j**(2\/5)) assuming j is positive.\nAnswer: j**(-122\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2413317.3 months to centuries.\nAnswer: 2011.09775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -30202112222 - -1201?\nAnswer: -30202111021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = z - 10. Let p be 0 - -6 - 2 - z. What is the least common multiple of 14 and p*18\/(3\/1)?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -106*p + 80*p + 156 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4\/6)\/((-24)\/(-1980)). Suppose -6*k + 1 - l = 0. Let t = -2 - k. Solve 2*r - t*r = 5 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 2, -4, 120, -44 in increasing order.\nAnswer: -44, -4, -2, 2, 120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2 - 4)*(4 - 1 + 0)*(-4285*s - 11 + 80 - 11936*s - 69).\nAnswer: -48663*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57*j + 20*j + 39*j - 67 - 81*j.\nAnswer: 35*j - 67","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2\/3)*j*j**(-7))**(-2\/31) assuming j is positive.\nAnswer: j**(40\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 5+-305.17\nAnswer: -300.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 4, 9, 14, 19?\n\"Answer: 5*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 18927 - 18918. Let p be (-8)\/6*6\/4. Let t = p - -12. What is the smallest common multiple of c and t?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 560901 and 23529.\nAnswer: 759","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let b be -4*-1*(-1)\/4. Let s be 3\/(1 + -2) + 6. Sort 5, s, b in increasing order.\nAnswer: b, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**2 + 12*c - 126. Let z be u(-19). What is the greatest common factor of z and 1148?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -4*q - 395, -2*r + 390 = 3*r - 3*q. Suppose 3*f - 545 = 4*a, -f + a - r = -258. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4943*n - 33186 = -14410 + 94913 for n.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 0.03 (b) -0.9 (c) 0.228 (d) 288 (e) -3\/8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -84 - -108. Let p = -8 + a. Calculate the remainder when 62 is divided by p.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -8*o**2 - 5*o + 5058. Let w(v) = -3*v**2 - 2*v + 1679. What is -4*s(q) + 11*w(q)?\nAnswer: -q**2 - 2*q - 1763","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -2\/3, -1\/7, 9\/7, -4?\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 275 - 276.905. Let q = 0.095 - y. Which is the second smallest value? (a) -1\/56 (b) -1 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**3 - 12*o**2 + 17*o + 19. Calculate j(-13).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 - -10. Suppose l - n*l = -102. Does 14 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1656 and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -81 + 49 - (-17 + -14)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -24 + 23?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 10\/(177\/175 + -1). Suppose 301 = -h + x, 0 = -3*h + 2*x - 27 - r. What is h rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -672*a**2 - 2736*a. Calculate b(-4).\nAnswer: 192","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 7*t + 6. Let d = 2 + 1. Is 12 a factor of y(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -20*j**2 + 11*j - 11. Let s(l) = l**2 + 7*l + 12. Let w be s(-4). Suppose -3*u + 6*u - 33 = w. Let i(z) = -7*z**2 + 4*z - 4. What is u*i(o) - 4*t(o)?\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*h**4 - 2*h**3 + 162375*h**2 - 52*h + 358.\nAnswer: -24*h**2 - 12*h + 324750","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4450*b**2*r**4 + 3*b**2*r**2 - 149*b**2 - 8*r wrt r?\nAnswer: 106800*b**2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 62400331 (base 7) to base 2.\nAnswer: 10100000000010000110001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -194, -1, 0.5, -276, -2 in ascending order.\nAnswer: -276, -194, -2, -1, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuo when three letters picked without replacement from oououuuuuoouuuuuuu?\nAnswer: 65\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the first derivative of 1\/6*q**4 - q**2 - 1 + 0*q**3 + q. Let n(l) be the first derivative of h(l). Suppose n(x) = 0. What is x?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 3*i = -3975, 321 + 3660 = 3*z - 3*i. Which is bigger: 1328 or z?\nAnswer: 1328","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o = 76 - 45. List the prime factors of o.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes before 10:59 PM?\nAnswer: 11:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -125*a + 5201062 + 573063 = 0. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7883.\nAnswer: 7883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/(-13) + 37*336\/(-9324)?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r - 24 = 2*r. Suppose -6*s + s - 45 = 0. Let x = s + 17. What is the lowest common multiple of r and x?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5824496627.\nAnswer: 193, 257, 117427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.373352cm to meters.\nAnswer: 0.09373352","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - o = o - 750733, 8 = 2*o. Suppose 5*j + 0*j - s = -3*q, 5*j + 5*q = 150145. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 139876 is divided by 26?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from naananaa. Give prob of sequence aan.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 - -3. What is the lowest common multiple of 119\/6 + o\/(-24) and 80\/(-5)*1*-2?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 4*p**3\/3 + 17824*p**2\/3 - 107068*p\/3 + 89240\/3 = 0.\nAnswer: -4462, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 45*m - 69*m + 360 for m.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 119 a factor of 595?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v when three letters picked without replacement from {i: 7, v: 4}.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10100739\/92 + -109808. Let f = -55\/23 + d. What is the common denominator of 81\/22 and f?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0*584574\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**3 + 5*o**2 + 3*o. Calculate m(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/4 + (-134)\/(-8). Suppose -5*n - 4*q + 206 = 0, 0 = -3*q - q + k. Is n a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 6*d + 142 = -11*d, 0 = 2*c - 2*d - 268. Is c a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes after 11:22 PM?\nAnswer: 1:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**2 - 19548720*w - 19548717.\nAnswer: -3*(w + 1)*(w + 6516239)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 39875*c**2 - 127*c - 127. What are the prime factors of w(-1)?\nAnswer: 5, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10 in -0.6, -1\/10, 0.1, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 18\/5? (a) -0.117 (b) -60 (c) -18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -722 + 722.08. Is -0.8 bigger than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85*i - 30 = -81*i - 7*d, -3*i - 3*d = 39 for i.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -5*z - 5*t - 0, -2*z + 9 = 3*t. Find g such that -2*g**3 + 11*g**3 - z*g + 3*g**3 + 16*g**2 + 3 - 1 - 18*g**4 = 0.\nAnswer: -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -44*i**2 + 1. Give g(1).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**3 - 6*j**2 + 5*j + 1. Let v be z(5). Let h be v - (-1412)\/22 - 4\/22. What is the highest common divisor of 13 and h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 708012857 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is (4 + 38772\/(-16))\/(2\/(-8)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92 - 73 = -5*i. Let d(o) = -o + 10. Calculate the remainder when (-6)\/i - (-92)\/22 is divided by d(7).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -4*p + 3. Suppose -f + 3*n - 1 = -0, -5*n - 2 = 2*f. Let i(z) = -2*z + 9. Let o(c) = 5*c - 24. Let s(h) = 8*i(h) + 3*o(h). Determine f*r(w) + 6*s(w).\nAnswer: -2*w - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40\/(-6)*((-6)\/(-66) + (-280)\/176).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, b: 2, y: 1, h: 1, z: 2}. What is prob of picking 1 h and 1 x?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 172 times -26903\nAnswer: -4627316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d = 1 + 207. Let v = -1 - -8. Calculate the remainder when d is divided by v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1, 9\/4, -9\/8 in decreasing order.\nAnswer: 9\/4, -1, -9\/8, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(136) + (sqrt(136) - 2*sqrt(136)) + sqrt(136)) + sqrt(136) - 4*(1*sqrt(136) + sqrt(136) + sqrt(136)))\/(-1*-2*sqrt(200)*-6)*6.\nAnswer: 3*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48101176.\nAnswer: 2, 43, 67, 2087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5 + (6 - 36\/6). Suppose -40*q + 140 = -w*q. Let 2\/3*o**q + 4\/3 - 14\/3*o**2 - 4\/3*o**5 - 2\/3*o + 14\/3*o**3 = 0. Calculate o.\nAnswer: -2, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*a**2*d**2 - 2*a**2 + 907*a*d - 84*d**2 - 155596 with respect to d.\nAnswer: 4*a**2*d + 907*a - 168*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 303 = 5*x + 4*v, 2*v = -5*x + 5*v + 289. Calculate the highest common divisor of 7375 and x.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 955?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 5\/9566?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u*u**(-6))\/(u*(u\/(u\/(u*u**7)))\/u*u))\/(u**1)**(1\/2))**8 assuming u is positive.\nAnswer: u**(-108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2349 = 53*c - 217 - 879. Solve 15*k + c = 2*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.18 (b) -69\/398 (c) -0.101\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -129691*o - 778155. Give b(-6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9944\/12*(3 + 6\/(-4))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -5 - (-6 - -3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 11 + 3 = 0, -t + 4*a + 13 = 0. What is the greatest common divisor of 205 and t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**3 - v**2 - 2*v - 739. Let g(b) = b**3 - b + 5. Calculate -c(h) + 2*g(h).\nAnswer: h**3 + h**2 + 749","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 12\/(-10)*(-25)\/10. Solve 34*s**o + 32 - 6*s**3 + 5*s**4 + 80*s + 72*s**2 - s**4 = 0 for s.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1981086?\nAnswer: 2, 3, 31, 10651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**2 - 37*y + 97. Give l(-36).\nAnswer: 133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 2*u - 10 = -4*u, -4*h - 25 = -5*u. Suppose h = g + 4*g - 895. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the third derivative of 0*m**5 - 5\/6*m**3 - 7*m**2 + 0 + 5\/24*m**4 + 0*m**6 + 4\/105*m**7 + 3*m. What is the first derivative of h(p) wrt p?\nAnswer: 32*p**3 + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 6 = k, 0 = 2*k - 0*k + 5*y + 14. Let s be 0 - (21 + (k - 0)). Let b(n) = 16*n**3 + 16*n**2 + n - 13. Let m be b(s). Round m to the nearest 10000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 148*w**3 + 2*w - 1648*w**3 - 2*w - 626*w**3.\nAnswer: -2126*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(68) + sqrt(68))**2 - (0 + (0 + sqrt(17))**2))*1.\nAnswer: -8*sqrt(17) + 256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2472984 and 1.6.\nAnswer: -3956774.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 1 = 3, -k - 1 = -u. Suppose u = 5*l, 3*g + 5*l + 0 = 6. Let t be (1 - g) + 8 + -3. Solve 0 = -2*r + t*r + 10 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39603515.\nAnswer: 5, 7, 109, 1483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.5 + 0.5. Let i = -0.5682 + 0.0682. Which is the third biggest value? (a) i (b) 1\/6 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1756080973 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -149\/6384 and -59\/1542440.\nAnswer: 1230867120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*-1*(-4)\/(-16)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 123 is divided by 48.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:15 AM and 7:55 PM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.588360056 from -241.3.\nAnswer: -240.711639944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 27232241?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p + 2*p**3 - 6*p - 2*p + p - 5. Let x(k) = -k - 4 + 4 - 1. Calculate -5*x(r) + y(r).\nAnswer: 2*r**3 - r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5668 and 11504187.\nAnswer: 598217724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 18150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -17049 and 1918?\nAnswer: -32699982","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:46 AM and 3:10 PM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 6404 times -0.298?\nAnswer: -1908.392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 970.5 rounded to the nearest 10?\nAnswer: 970","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 - -18. Let x be (-2)\/(-2)*(-8 + i). Suppose x*a - 5*y = 396, a - 372 = -a - y. List the prime factors of a.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 = -25387?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 - -2. Let d = 8 - t. Let m = -2.99942 + d. What is m rounded to 4 dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -164687, -658688, -1482003, -2634632, -4116575, -5927832, -8068403?\n\"Answer: -164657*r**2 - 30*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 3, o: 4, a: 3, c: 4, z: 2, d: 4}. What is prob of sequence tczo?\nAnswer: 4\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 27*b - 37*b + 90 for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - -13) + -26 + 19?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3, 1.\nAnswer: -3, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1211\/1038*(-105)\/1127*(-5)\/((-50)\/8).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f when three letters picked without replacement from efffffffffff?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -255663, -1022641, -2300937, -4090551, -6391483, -9203733, -12527301?\n\"Answer: -255659*o**2 - o - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/29, 1447.37, 0.2, -3\/8, 2\/7 in increasing order.\nAnswer: -3\/8, 2\/29, 0.2, 2\/7, 1447.37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f + 27. Give y(7).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/(-324) + 60*(-44150)\/(-205200) + 26\/(-2)?\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 28304?\nAnswer: 28304","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -4524 divided by 1131?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*h**4\/3 + 1243742*h**3\/3 + 64453716148*h**2 - 193364879680*h\/3 - 386724784384\/3 = 0. Calculate h.\nAnswer: -310936, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are -12\/7 and 17.8 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-5)\/3*(-15)\/(-10410)*26 and -61\/30.\nAnswer: 10410","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 3*q - 22. Let c be d(11). Let v(i) = 9*i + 13. Let n(a) = -5*a - 7. Determine c*n(b) + 6*v(b).\nAnswer: -b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the first derivative of 3*v**5\/20 - 3*v**4\/2 + 23*v**3\/4 - 21*v**2\/2 + 9*v - 785. What is u in t(u) = 0?\nAnswer: 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 88.54 - 90. Let a = w - -0.48. Let y = 0.98077 + a. Round y to four decimal places.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -126 + 207. Calculate the remainder when 71 is divided by h.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*z**2 - 1502126990*z - 112819274704323005.\nAnswer: -5*(z + 150212699)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3400 to the power of 1\/2, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.65051 + 0.65. Round o to 4 dps.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36477?\nAnswer: 3, 7, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 3*t**2 + t - 3. Let b(y) = y**2 - 4*y + 1. Let l be b(4). Let x(r) be the second derivative of r**4\/12 - 644*r. Determine l*f(i) - 5*x(i).\nAnswer: -2*i**2 + i - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20)\/((sqrt(80)\/sqrt(4))\/sqrt(10)))\/((-1*sqrt(24)\/sqrt(4))\/sqrt(3)).\nAnswer: -sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*a + 9*a + 2*a**3.\nAnswer: 2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6642*g - 9 + 3314*g + 3277*g - 1.\nAnswer: -51*g - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 4, s: 1, r: 1, j: 4, y: 2, o: 3}. What is prob of sequence sk?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 - 25. Let i = o - -18. What is the biggest value in 1, 1\/2, i?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3095 * 0.4.\nAnswer: -0.1238","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 + 10. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/3 - 319\/(-12). Let y = h - 26. Let c(q) = -q + 10. Let z be c(10). What is the closest to -1 in -0.2, z, y?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 3*c = -8. Let n(u) = u**2 - 2. Let l be n(-2). Calculate the highest common factor of l and c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -2*m - 26, 3*m - 2*y + 0 + 41 = 0. Sort m, -4, -13.\nAnswer: -13, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8\/38870579 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 2*a**3 - 5*a**2 - 5*a + 6. Let n be p(4). Let h be (-2)\/4*n\/(-51). What is the nearest to 0 in -3\/7, -4, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1251830560?\nAnswer: 2, 5, 1123, 6967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k + 9*k**2 - 2*k**2 - 29*k**3 + 27*k**3)*(-6*k + 2*k**2 + 6*k + (-1 + 1 - 4*k)*(2 - k - 2)).\nAnswer: -12*k**5 + 42*k**4 + 6*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 174187, 173673, 172229, 169375, 164631?\nAnswer: 157517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1371*m = 900*m - 74943 for m.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is (-15384)\/(-60) - (-3)\/5 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 100 a factor of 1865700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-120)\/(-90)*6\/(-4). Sort v, 34, -4 in ascending order.\nAnswer: -4, v, 34","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, s: 1, n: 2, i: 1, k: 2, r: 2}. Give prob of sequence sx.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does -246 = -10064\/41?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**2 - 60. What is q(10)?\nAnswer: -160","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (14 + -2 + 915\/(-75))*4\/(-2)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -32332 + 22011?\nAnswer: -10321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4665 is divided by 1116?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7488*f**2 + 2571*f**2 + 2496*f**2 + 2408*f**2.\nAnswer: -13*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1753\/17 + -103. Which is the fourth smallest value? (a) q (b) -11 (c) -5 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**3 - 30*c**2 - 2*c + 197. Determine h(30).\nAnswer: 137","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(-28)\/(-21)*(-37)\/((-629)\/306)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*(b\/(b\/b**17)*b)\/b)\/(b\/b**(-27)))**(-15) assuming b is positive.\nAnswer: b**150","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2983713 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 127368 (base 9) to base 5\nAnswer: 4440304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 29.238 - 29.638. What is the biggest value in -19, 0.023, w?\nAnswer: 0.023","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -18 (b) 64.3 (c) -4 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -62308, -124586, -186864, -249142, -311420?\nAnswer: -373698","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 10*c**2 + 4*c + 3. Calculate u(-2).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-29 - 51 + 34)*(0 + 1 + 0)*(4*a - 5*a + 7*a).\nAnswer: -276*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kadr when four letters picked without replacement from {a: 5, k: 1, g: 1, v: 2, d: 3, r: 8}?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**2. Let u(a) = 5*a**2 + 12*a - 15. Let q(x) = -6*h(x) + u(x). Is q(10) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/35 and 86\/399.\nAnswer: 1995","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 4*u**3 + 14*u**2 - 32*u + 3. Let g be z(6). Let y(h) = -22*h**2 + g*h - 1179*h. Let w(f) = -f**2. Give w(y(i)).\nAnswer: -484*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:27 PM and 1:23 PM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 437, 4, -700, -1, -6.\nAnswer: -700, -6, -1, 2, 4, 437","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15 by -2462.\nAnswer: 15\/2462","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12 - -16. Suppose -6 = -u + 4*h, 0 = 2*h - 6*h - g. Solve -2*z + z = -u for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -376 divided by -94\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -5 + (6 - 9\/3). Let i(q) = -17*q - 1. Is i(v) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-1\/3)\/((m\/m**(1\/2))\/m)*m**(-5)*m*m**(-3\/5) assuming m is positive.\nAnswer: m**(-133\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -103 + 99. What is the nearest to 2\/7 in j, 2, 15?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2117058 is divided by 1084.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100*x - 110*x = -40 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (21\/(-42))\/(1\/(1*10)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-3*1\/(-5)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -302 + 662. Suppose k = -33*g + 36*g. Does 40 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -153*j + 154*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -258092, -516182, -774272, -1032362, -1290452?\n\"Answer: -258090*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tttvvtttvtttvtttttvt. Give prob of sequence vt.\nAnswer: 15\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1236 + -6157\/5. What is the common denominator of x and -18?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20 is divided by 18.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - 3 - (5 - (-6 + 2))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**2 + 214*w - 5447. Let m be p(23). Factor 0 + 8\/3*q**2 + 16\/3*q**3 + 2*q**m + 0*q.\nAnswer: 2*q**2*(q + 2)*(3*q + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -145 = 1446*u - 1475*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1669091, 1669089, 1669087, 1669085?\nAnswer: 1669083","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/2 + (-24)\/11.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8524342 to the power of 1\/4, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-261)\/(-54) - 2\/(-12). Solve -k + 0*k = n for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the third derivative of 0 + 0*q - 1\/24*q**4 - 2*q**2 - 5\/6*q**3. What is the units digit of i(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 38535 - 38535. Suppose 4*a = 7*a + 12. Put c, 4, -1, a in descending order.\nAnswer: 4, c, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide (-3 + 1)*5\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + 0 - 3 - 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 3, t: 3, m: 10, j: 4}. Give prob of picking 1 j, 1 m, and 2 t.\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 994648047.\nAnswer: 3, 179, 317, 5843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -18 - 54*z**3 - 50*z**3 - 17*z**2 + 37*z + 103*z**3. What is the units digit of b(-20)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 225690042.\nAnswer: 2, 3, 37615007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 28475 (base 9) in base 2?\nAnswer: 100101110010010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 11\/2 of a kilometer?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s + k, -2*k = 2 - 6. Let u = s - -2. Suppose -50 = -u*v - 2*v. What are the prime factors of v?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -60*v**4 + 15*v**3 - 2*v**2 - 2818*v wrt v.\nAnswer: -1440*v + 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11 and 129?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 264579 (base 16) in base 14?\nAnswer: 49409b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -329 + 347. Let f be (-1 - b)*(97 - 98). Solve -2*r + 3 + 2 = 5*n, -3*r + 4*n + f = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(-14))\/((-4350)\/228375)?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/(3 + 21\/(-6)). Let q = 1 + -1.5. Let j be (-2)\/(-10) + 2\/(-10). What is the closest to j in 4, q, r?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -96.33008 + 96.2. Let n = -1.129955 - y. Let l = -1 - n. What is l rounded to five dps?\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42000010237 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12820 - -12824. Put -20, -2, -15, n in decreasing order.\nAnswer: n, -2, -15, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 - -12. Suppose 19 = -5*r + 464. Suppose -3*d = -5*y + r, 2*d - 9 = -y + 14. Which is greater: h or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -357713 (base 9) in base 15?\nAnswer: -43d59","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5a6 - 6?\nAnswer: 5a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 265*m**2 + 65*m - 65. Let p(z) = 12*z**2 + 3*z - 3. Let j(g) = 2*k(g) - 45*p(g). Let q(f) = 5*f**2 + 3*f - 3. What is -3*j(r) - 5*q(r)?\nAnswer: 5*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9502 by -2.\nAnswer: 4751","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 s when two letters picked without replacement from yysywjjjwywjjyyswwy?\nAnswer: 14\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 91 - 93. Which is the nearest to -2? (a) -1.2 (b) u (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**3 - 5394*t**2 + 43056*t - 86048.\nAnswer: 2*(t - 2689)*(t - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -310*a - 296 wrt a.\nAnswer: -310","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**3 - q**2 + 1. Let t be x(0). Suppose f + 1 = -t. Which is smaller: 0.2 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes after 2:07 AM?\nAnswer: 12:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 84047 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(3\/26)*m*m*m\/m**(-8) assuming m is positive.\nAnswer: m**(289\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1640c0 (base 13) to base 12.\nAnswer: 22726b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1302490495?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fifteen quarters of a millennium?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**3 + 5*k**2 - 16*k - 2. Let h be j(-7). Calculate the greatest common divisor of h and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3707518, 2, 3, 5, -3 in ascending order.\nAnswer: -3, 2, 3, 5, 3707518","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 r, and 2 t when four letters picked without replacement from {t: 6, s: 2, r: 9}.\nAnswer: 27\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence enen when four letters picked without replacement from {y: 2, n: 6, a: 6, e: 4}?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9888 divided by 103.\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 2*s + 4. Let h(t) = -t - 3. Suppose 4*x - 20 = -4. Suppose 0 = -5*y - 5*u - 30, 12 = -x*u - 0*u. What is y*m(z) - 4*h(z)?\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2\/15 + -1\/5. Suppose -6 = 5*o - 1. Which is smaller: l or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x = -4*v + 16, -v - 10*x + 10 = -14*x for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 981?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*f = -21*f - 1012. What is the remainder when 73 is divided by f?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -102*j - 649 - 473 = 0 for j.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4 + 4)\/(1 - -1). Let c(j) = j**3 - j**2 - j + 25. Is c(f) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) 2\/33 (b) 2 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -420*u**2 + 420*u**2 - 68*u**4 + (-2*u**3 + 2*u**3 - 2*u**3)*(-3*u + 3*u - u).\nAnswer: -66*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r - 4*r + 25. Let u = -1 + 2. Let t(p) = -p + 1. Let d be t(u). Solve -4*i - 5*z = 32, -31 = -d*i + r*i + 4*z for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 327918571 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -27543, -109817, -246883, -438735, -685367, -986773, -1342947, -1753883?\n\"Answer: k**3 - 27402*k**2 - 75*k - 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 370237 and 454?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -153*((-20)\/(-25))\/((-54)\/15).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 109474 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: Calculate the common denominator of -87\/484 and -53\/270996.\nAnswer: 2980956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 - -0.2. Sort 2\/5, y, -2\/9 in decreasing order.\nAnswer: 2\/5, y, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -580380 (base 9) to base 5\nAnswer: -42114143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*h**3 + 48*h + 64.\nAnswer: -4*(h - 4)*(h + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*c**3 - 64*c**2 + 5739*c.\nAnswer: -18*c - 128","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-76)\/285*9)\/(8\/(-10)). Solve q*m - 2*v = v - 3, -4*v = -5*m - 5 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7221, 29241, 65935, 117303, 183345, 264061?\nAnswer: 359451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 12*m**2 - 51*m + 41. What is the remainder when f(6) is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (24 - 12) + (-7 - 9) - (-18 - 1)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 1091 = x, -4*b + 3245 = 3*x - 5*b. List the prime factors of x.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*q**2 + 2*q**2 + 11*q**4 + q**3 - 12*q**4 - 2*q - 6*q**4 + 2*q + (-5*q - q + 2*q)*(-q + q**3 + q).\nAnswer: -11*q**4 + q**3 + 4*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2*(2 - 8)\/(-3). Suppose -3*p - 19 = 5*c - 7*p, f = 4*p. Let n be 1\/(9\/(-6))*c. What is the greatest common divisor of n and 22?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = b - 5, 8*b = 12*b - 2*q - 20. Let a be (-117)\/26*(-8)\/18. Suppose 2*u - 7*u + 10 = 0. Solve s = z + u - b, a*s - z = -7 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 319, 687, 1055?\nAnswer: 1423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o - o - o)*((o + o - 4*o)*(1 - 3 + 0) + 3 - 2*o - 3).\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1971177 is divided by 151624.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.39353ml in litres?\nAnswer: 0.00339353","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -257 greater than -138?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n - 0*n + 58. Let z = -28 + 60. Let u = z - n. Solve u = s + 4 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 344026\/37 - 1\/((-3)\/9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/13 (b) 0.4 (c) 1\/2 (d) 9\/5 (e) -751 (f) 0.1 (g) 0\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (-4 - -2) - -1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g = -2, -51*v + 47*v + 4*g = 44 for v.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and 62880.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2*1\/4*32. Suppose -33*r + 25*r + d = 0. What is the common denominator of 51\/4 and (-54)\/(-48)*2\/(r + -1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:49 PM and 5:33 AM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 332 and 62013533?\nAnswer: 248054132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the second derivative of -h**3\/6 + h**2\/2 + 4*h. Let m be t(-3). Calculate the highest common factor of 16 and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 629.7 - 736. What is p rounded to the nearest ten?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes before 1:33 AM?\nAnswer: 5:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -7*r + 1. Suppose p - 12 = -5*p. Let b be h(p). Let y = b + 15. Solve -2*x = y*a - 14, 4*a + x = -4*x + 32 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 1 + 5 = 0, 22 = 2*k + 4*b. Suppose -5*t - 5*h = -k, -2*h - 2*h - 4 = 0. Is 16 a factor of t\/(-14) - (-1808)\/56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -560 - -565. Let l(u) = 5*u + 2*u**2 - 2*u + 1 - 9*u - h*u**2. Calculate l(-5).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the second derivative of 221*k**7\/42 + k**5\/20 - 867*k**4\/4 - 12*k + 2. What is the third derivative of l(c) wrt c?\nAnswer: 13260*c**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 4, q: 4, p: 4, a: 1, n: 1, i: 3}. Give prob of sequence iii.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 245290, 244659, 243614, 242161, 240306, 238055?\n\"Answer: u**3 - 213*u**2 + u + 245501","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1870?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*f**3 - 6112*f**2 - 6776484*f + 61480512.\nAnswer: 4*(f - 2271)*(f - 9)*(f + 752)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(637)*-2 + sqrt(1300).\nAnswer: -4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(288)\/sqrt(200) + (-1*sqrt(360) - sqrt(360))\/sqrt(10))\/(sqrt(24)\/(sqrt(2) - sqrt(242)*5))*3.\nAnswer: 2 + 1458*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 4 - t + t**3 + 11*t**2 - 8*t**2 + 0. Calculate o(-4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(4\/5)\/u)**47*(u*u**0)**(-1) assuming u is positive.\nAnswer: u**(-52\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.09 times -1.9?\nAnswer: 0.171","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + 3*n = 4*n + 7, -4*w + 4*n = -8 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18, -26, -34?\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 2*s + 52. Let t be n(-27). What are the prime factors of 121 - (21\/21)\/(1 + t)?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1\/6)\/s*s*s*s*s\/(s**(-2\/17)*s)*s*s)\/((s\/(s**(-6\/11)\/s))\/(s**(-5)\/s)) assuming s is positive.\nAnswer: s**(-5155\/1122)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -283*c**2 - 245*c**2 + 483*c**2.\nAnswer: -45*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/14964 and 103\/1044?\nAnswer: 44892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmm when three letters picked without replacement from mmmmmmmmm?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 3*n = 2*c - 33, 0 = c - 5*n. Is 174\/c + 10\/25 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the third derivative of 0 + 1\/30*w**5 + 47\/120*w**6 - 2*w**4 - 2*w - w**2 + 0*w**3. Find the second derivative of q(k) wrt k.\nAnswer: 282*k + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 8.39128404 from 4.\nAnswer: -4.39128404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 15*p**3 + 3*p**2 - 2. Let y(z) = 29*z**3 + 7*z**2 - 5. Let r(u) = -7*o(u) + 3*y(u). Find the first derivative of r(q) wrt q.\nAnswer: -54*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -4*l - 12. Let p(z) = z**2 + 4*z + 1. Let m be p(-5). Suppose 24 = -m*b + 3*b. What is the units digit of t(b)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 113 - 112. Which is the nearest to -0.12? (a) 4\/7 (b) u (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**2 - 12*k + 57. Let d be x(-16). Let m(h) = 5*h**3 + 9*h**2 - 7*h - 7. Let t(u) = 3*u**3 + 5*u**2 - 4*u - 4. Determine d*t(f) + 4*m(f).\nAnswer: -f**3 + f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 105 divided by 5.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the third derivative of -1933*s**4\/24 + 3*s**3 - 18*s**2. Let t be n(4). Let o = -3364 - t. Round o to the nearest one thousand.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 568*t**3 - 126*t**3 - 241*t**3 + 135 wrt t?\nAnswer: 603*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**3 - 13*k**2 - 7*k + 102. Give f(13).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 4 = -4. Let u = 11 - q. Solve 0 = 6*y - u*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 571 is divided by 21.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*f**3\/17 - 38654*f**2\/17 + 16828706*f\/17 - 987650 = 0. Calculate f.\nAnswer: -19753, 1, 425","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 72\/(252\/(-96)*252\/(-441))?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p - 5 - 5. What is the first derivative of -3 + 8 - 17 - 7*s - p wrt s?\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) 2\/245 (c) -93 (d) 1\/8 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 148650*m + 445956. Give w(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(5040) + 3*sqrt(5040)*6))\/((sqrt(240)\/(-2*sqrt(6)))\/(sqrt(32)*-2)).\nAnswer: 3648*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.45 and -59.\nAnswer: -59.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(128) + -2)**2 + sqrt(128))*-2 - (sqrt(2) + 1 + sqrt(288) + 2).\nAnswer: -267 + 35*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3559333 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4149 + -4147. Solve -c = -b, 31*b + 4 = -2*s + 33*b for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7677.626 meters to kilometers.\nAnswer: 7.677626","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/16 of a kilometer in centimeters?\nAnswer: 56250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/9378 and -22\/27.\nAnswer: 28134","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, p: 2, t: 2}. Give prob of picking 2 p and 1 n.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 2*z + 5. Suppose -54 = 4*m - 0*l - 3*l, -5*l = 10. Let d = m + 11. What is o(d)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27220?\nAnswer: 2, 5, 1361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*z**2 - 19*z**2 + 11*z**2 - 40*z**2.\nAnswer: -44*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(396) + -6*(sqrt(99))**2.\nAnswer: -595 + 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 3*k = 5*k - 98, -k - 56 = -2*p. Suppose 0 = 2*x + 22 - p, -3*g + 2*x - 728 = 0. Which is smaller: 2\/7 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -60 + 0*y - 5*y + 10283*y**2 - 10278*y**2.\nAnswer: 5*(y - 4)*(y + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes before 12:47 AM?\nAnswer: 3:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 3 - 552*q + 277*q + 279*q. Let f(n) = 2 - 7 + 1 + 3. Determine 4*f(s) + r(s).\nAnswer: 4*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -209183, -418481, -627779?\n\"Answer: -209298*d + 115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*x**2 - 415 + 108 + 103 + 109 + 103 + 2*x to y + b*x + n*x**2 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*o - 287 - 19 = 15*o for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16 + -4. Is (-708)\/g + (-2)\/5 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.08113242 rounded to two decimal places?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(800) + 0)**2 - sqrt(800) - sqrt(800))*3.\nAnswer: -360*sqrt(2) + 2412","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 144\/189 - 9\/21?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**2 + 740*x + 21456.\nAnswer: 4*(x + 36)*(x + 149)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -0.03 (b) -0.3 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50991 is divided by 495?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 - -921?\nAnswer: 925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 29*m - 1145. What is p(40)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4422\/829 - 2\/2487. Calculate the common denominator of 29\/280 and j.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 378455402 to the nearest integer?\nAnswer: 723","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 358\/(-1 + (-52)\/(-44) - 0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 21673*s - 51. Let v be d(-13). What is v rounded to the nearest ten thousand?\nAnswer: -280000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13.9 + 11.9. Sort -1, 2, r in decreasing order.\nAnswer: 2, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39678.\nAnswer: 2, 3, 17, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 476\/294 - 4\/(-28)*-2. Let n(k) be the third derivative of -3\/5*k**5 + 10*k**2 - 7\/6*k**4 + 0*k - 2\/105*k**7 + 0 - 1\/6*k**6 - a*k**3. Factor n(i).\nAnswer: -4*(i + 1)**3*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the first derivative of -6*a**4 - 89 - 82 + 143 - a**3 + 0*a**4. Find the third derivative of b(n) wrt n.\nAnswer: -144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 1. Let s be (-7 - (-40)\/5) + 4\/(-2). Let z(v) = 4*v**2 + 1. Calculate s*m(w) + z(w).\nAnswer: 4*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-11)\/99 - (-219)\/27. Sort -6, -1, d.\nAnswer: -6, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -9*g - 1. Let v be j(-3). Suppose -10 = 4*o - v. Factor 136*s**2 + 102*s**4 + 420*s**3 + 31*s + 448*s**o - 15*s + 250*s**5.\nAnswer: 2*s*(s + 1)*(5*s + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -191930, -191927, -191924, -191921, -191918?\n\"Answer: 3*x - 191933","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 463*l**3 - 14*l**2 + 8*l - 6. Let s(p) = -463*p**3 + 12*p**2 - 7*p + 5. Calculate -8*s(a) - 7*z(a).\nAnswer: 463*a**3 + 2*a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 384719 is divided by 2852.\nAnswer: 2551","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -44 times -0.221\nAnswer: 9.724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -324411, -649088, -973763, -1298436, -1623107, -1947776, -2272443?\n\"Answer: v**2 - 324680*v + 268","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1239?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 8*l = 51. Is 7 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 93 - -54151?\nAnswer: 54244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*2*1*-4*((-1 + sqrt(147))*2 - sqrt(147)).\nAnswer: -80 + 280*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4283 is divided by 4128?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2508 + 3770. What is the remainder when h is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57445 is divided by 203.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b + 4 + 3 - 1 - 2. Let g be k(-7). Calculate the highest common factor of g and 99.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 3*i, -z = 2*i + z. Let f be (-2 - -7)*(i - 1). Let t = -0.1 - -5.1. What is the second biggest value in -4, t, f?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 28387986?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-9)*(-9)\/6*22\/2\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**2 - 140*d + 2778. Determine a(116).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hatyqet. What is prob of picking 1 a, 1 e, 1 t, and 1 y?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -969*v + 16*v**2 + 21*v**2 + 486*v + 483*v.\nAnswer: 37*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.8 rounded to 0 decimal places?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 7 = -15. Let w = a - -17. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1801 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and -29230817?\nAnswer: 58461634","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 3888.3 - -5\nAnswer: 3893.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1654185 and 18811.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3081 and 624.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z**3 + 13521*z**2\/4 - 2856945*z + 714025 = 0. What is z?\nAnswer: 1\/4, 1690","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a kilogram in grams?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mnee when four letters picked without replacement from nmmeejnmnn.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 126040.765 rounded to the nearest ten?\nAnswer: 126040","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -586, -589, -602, -631, -682, -761, -874?\nAnswer: -1027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -110 + -1110?\nAnswer: -1220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*r = 226*r + 34*r + 8000 for r.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 7*(8 - (-3732)\/(-462)). Which is the biggest value? (a) 3\/5 (b) -1 (c) j (d) -5\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*n + 2*j - 4, 5*j - 20 = 0. Suppose -x + n*g + 319 = 0, 4*g - 499 - 841 = -4*x. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(13) + sqrt(65)\/(sqrt(5) - -1*sqrt(5) - sqrt(5)))**2.\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k = -2*p - 14, -3*k + 5*p - 2 = -5 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 54963 and 1488?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 131332030 + 1123223?\nAnswer: 133121313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 22042 to the power of 1\/3, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5054065?\nAnswer: 5, 179, 5647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a millennium in centuries?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.07 (b) 0.3 (c) 13 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 99?\nAnswer: -4\/99","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2\/3, -29333, -4\/3, 1, -23?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 15 = 0, -2*d + 22*g = 23*g + 99. Let r = 0 + 2. Suppose 4*h + 192 = -z, 2*h - r*z = -4*z - 96. Which is smaller: h or d?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -210035 - -3374?\nAnswer: -204441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 296 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21 - 30 - 25 + 76 + 5*o**2.\nAnswer: 5*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 (base 16) in base 6?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1350*m - 17*m**4 - 1350*m + (-2*m + 4 - 4)*(0*m - m**3 + 0*m) + 3*m**3 - 3*m**3 + m**4 - 3*m**4 + 2*m**4 - m**4.\nAnswer: -16*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-8)\/(-4) - 2)\/((-3)\/(-3)). Solve 2*b + 3*b = t for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.801*16.\nAnswer: -44.816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-270))\/(4*4\/96)\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*a - 2*a - 1 - a - a as w + h*a and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 237? (a) 1.4 (b) -1 (c) 1\/7 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 596.6 and -4.\nAnswer: -2386.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, i: 1, v: 2, a: 1, s: 5}. What is prob of picking 1 a and 2 s?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-6) - 84\/9. Let i = o + 13. Suppose -i*z = -0*z - 180. What is the highest common factor of z and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (-7 - (-7 + -3))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 33 * -22007.88\nAnswer: -726260.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 divided by -17?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 183191393 to the power of 1\/3, to the nearest integer?\nAnswer: 568","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*k + 89*k + 16377 = 2100 - 2348 for k.\nAnswer: -125","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**3 + 9*x**2 - 8*x - 7. What is the units digit of h(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 216789, -986 in decreasing order.\nAnswer: 216789, 2, -986","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1))**(-2\/3)\/(p**(3\/7)\/p*p\/((p\/(p*p\/(p*p*(p**13\/p)\/p)))\/p)) assuming p is positive.\nAnswer: p**(236\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*s**2 + 91*s - 475 wrt s.\nAnswer: -6*s + 91","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gfggffffgxf. What is prob of picking 1 f and 1 x?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 18*i**2 - i. Let s be v(1). Let r = -8 + s. What is the least common multiple of r and 2?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31 (base 14) to base 2.\nAnswer: 101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -15 (b) -0.3 (c) 5 (d) 3\/8 (e) 702 (f) 0\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-380)\/133*7\/(-2). Let m(r) = 15 - 2 - g + 20*r. Let f(y) = -y**2. What is f(m(q))?\nAnswer: -400*q**2 - 120*q - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1364121 is divided by 1851?\nAnswer: 1785","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 251 - 167. Suppose -121 - 39 = -5*n. Let r = z - n. Calculate the remainder when r is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1296*x + 10936*x - 1714*x to h*x + d and give h.\nAnswer: 10518","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28593515 is divided by 4084787.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -33925969*f**2. Let c(i) = i**2. What is j(c(q))?\nAnswer: -33925969*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1)*(n*n**3)\/n*n**(2\/13)*n\/(n*n*n**(1\/3)\/n*n))**(3\/5) assuming n is positive.\nAnswer: n**(32\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10523353.\nAnswer: 31, 79, 4297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most as big as 2\/64225?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -1558000 to the nearest 10000.\nAnswer: -1560000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 761*r + 11160 = 767*r. What is the tens digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -30564.11 - -30081. Let b = 486 + x. Let a = -0.49 + b. What is a rounded to 1 decimal place?\nAnswer: 2.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00039129016 to four dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z = 22*z - 61 + 61 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -2 - 5 + 15. Suppose -3*x = -x + 6. Sort 3, a, x in increasing order.\nAnswer: x, a, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -472.08356852 + 1.1121\nAnswer: -470.97146852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 7*i**2 - 18*i + 10. Let g be s(3). Solve -g*b + 8 = -23*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*m + 6*m = 0. Suppose m = 6*o + 18*o - 18312. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -5 - (-31)\/2 - (-2)\/(-4). Is 0 - (15\/(-25) - 11224\/o) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - -9 - (-1 + -2 - (-32 - -30))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 1 + 2*m + (1 + 0 - 2)*(0*m + 0*m + m) + 7*m - 6*m + 22*m + (-6*m - 49 + 49)*(-3 + 2 + 3) + 4*m - 2*m + 0*m to a*m + j and give a.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36 divided by -10.\nAnswer: -18\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**2 + 11*c - 3. Give t(-10).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes after 11:27 PM?\nAnswer: 5:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7)\/(7\/3))\/((-54)\/(-4))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6 and 199814?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-48)\/36*((-55)\/(-10) + -7). Put -4, 82, 4, z in decreasing order.\nAnswer: 82, 4, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6667*v = -301384 - 451987 for v.\nAnswer: 113","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -203*l - 44*l + 8160 = 161*l for l.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -794 - 1646 = -488*v. Let w = -230 - -2072\/9. Which is the third smallest value? (a) -2\/15 (b) w (c) v (d) -14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeeeieei. What is prob of sequence ie?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2111 - -1?\nAnswer: -2110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (10\/20)\/(2\/16). Solve 0*t + 5*t + 2*w - 2 = 0, -t - 4 = -k*w for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 1 = -3*g. Let l = 1 - g. Let d = -16\/45 - -5\/9. Is d smaller than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1165*z = -855*z - 368486770. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**3 + 407*l**2 + 60034*l + 453. Determine z(-115).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1309 or 1308?\nAnswer: 1309","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 + 1 - -2) + -1. Suppose 0 = 5*q + 1 - 11. Solve q*r = -w*r - 4 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23918802.31 rounded to the nearest 100000?\nAnswer: 23900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1949 - 44825\/23. Let y = 0.28 + 0.92. Which is the third biggest value? (a) y (b) s (c) -1 (d) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 15\/2 (b) 0 (c) 7.259 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 313 divide 2322003?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4\/133 and -87\/190.\nAnswer: 1330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 1)*(11*z + 1 - 1).\nAnswer: -22*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(550)\/sqrt(40))\/(sqrt(45)\/sqrt(36)) + -5)*-6.\nAnswer: -6*sqrt(11) + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -29 + 29 + 9*d + d - 2*d - d + (-16 - 11 + 19)*(d - 7*d + d).\nAnswer: 47*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1\/((-17)\/(-1432107 - -10)*(0 + 1))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/270 and 67\/162?\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwwwwwwwjwwjw. Give prob of picking 3 w.\nAnswer: 15\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -89278 smaller than -178557\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 850*h**2 + 828*h**2 + 837*h**2 + 846*h**2 - 3344*h**2 + 4*h.\nAnswer: 17*h**2 + 4*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 476312 and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -2*q**2. Let j(v) = -12718*v. Give s(j(t)).\nAnswer: -323495048*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*1.09388608.\nAnswer: 0.218777216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-5))**12*h**(-26)\/(h*h**(-31)\/h) assuming h is positive.\nAnswer: h**(-55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**3 + 8*o**2 + 6. Let g be p(-4). Let d be -71 + 2\/(4\/(-2)). Let u = d + g. What are the prime factors of u?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 18.9364 + 0.0636. Let t = 0 + -1.2. Let m = -2.8 + t. What is the closest to c in -5, 4, m?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34.70354l in millilitres?\nAnswer: 34703.54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 55723?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5.357*-21877.\nAnswer: -117195.089","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 90815.\nAnswer: 5, 41, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 53*a*g**2*l + a*g - 2*g**2*l**3 - 35*g*l**2 - 3*l**3 wrt g.\nAnswer: 106*a*l - 4*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 + 5. Suppose -m*f = -2*h - 0*h + 28, 5*f = 25. What is the remainder when h is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**3 - 7*p**2 - 2*p - 9. Let a be r(-7). Solve -2 = -a*f - 17 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -5 (b) 9 (c) -7\/62\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*g + 1170 = -123 + 477 for g.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*((-155)\/30 - -5)*10*(-87)\/(-15).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 7*n - 10. Let f be r(2). Suppose -f*i - 12 = -92. Suppose 0 = -41*y + 45*y - i. Solve -y*t + 7 = -8 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2934*s + 2880*s + 648 = 0. Suppose -52 = -4*g + 2*x + 2*x, 2*g + x = 35. Calculate the remainder when g is divided by s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -336*m**2 - 7*m + 7*m.\nAnswer: -336*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (5 + -5)\/(0 + -1 + -1). Suppose -6*g + 15*g + 108 = p. Let a be 160*2\/g*3 + 2. Which is greater: a or -77?\nAnswer: -77","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-102)\/4*212\/(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.1 - -0.1. Suppose 4*w - 2 = 3*w. Put b, -0.2, w in decreasing order.\nAnswer: w, b, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 18 = 3*j, 0 = k + j + 73211 - 73217 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.4914274744 to four decimal places.\nAnswer: -0.4914","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 760 and 4766264?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, -2.32, -3, -2\/11, 0.4, 1\/7?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 105911 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 39 + -1. What is the greatest common divisor of a and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 96*a**4 - 6*a**5 - 96*a**4 - 2*a**3 + 2 - 2*a**5 - 2 + (5*a**4 - 3*a**4 - 4*a**4)*(5*a + 3*a + a).\nAnswer: -26*a**5 - 2*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16 + 23. Let i be (k\/52)\/(30\/(-16)). Let j(y) = y - 6. Let c be j(5). Sort i, 1, 3, c in increasing order.\nAnswer: c, i, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 2 - 12 = 2*g, -5*u + 40 = 4*g. Suppose -s = -5*t - 37 + 9, u*t - 4*s = -32. Let n(w) = -315*w + 10. Is n(t) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*t + 131 = 91 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9\/10 or 0?\nAnswer: -9\/10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-104)\/143*28644\/(-5952)?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the third derivative of x**2 - 1\/6*x**3 + 0*x - 1\/6*x**4 + 0. Let k be l(1). Sort 9, -3, k in increasing order.\nAnswer: k, -3, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + 4*h = -10, -2*r + 3*h - 5 = -4 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -22 * 0.14303.\nAnswer: -3.14666","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 2 + h**2 + 34419*h**3 - 33830*h**3 + 5*h + 1 to c*h**3 + x + s*h**2 + q*h and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 205264, 205257, 205238, 205201, 205140, 205049, 204922?\nAnswer: 204753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -84.3 - -41. Let f = 77 - 120. Let g = f - x. What is the fourth smallest value in -0.7, 2\/9, 0, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -27*h + 1 - 16*h + 3 - 5 to x + i*h and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 - 5.8. Let m = f + 4.8. Let i = 4.0000004 - m. What is i rounded to 7 dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 5*f + 7. Let y be p(41). Let m = y + 179. Is 7 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1120 divided by -2?\nAnswer: 560","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes after 3:29 AM?\nAnswer: 12:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 10*u - 291. Let h be s(29). Which is the closest to h? (a) -8 (b) -3\/2 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3236596346.99999974 - -3236596373. Let o = 525 - 551. Let w = z + o. Round w to seven decimal places.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -153, -190, -225, -258, -289, -318, -345?\nAnswer: -370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*t**5 + 13202*t**4 - 22102*t**3 - 180650*t**2 - 189392*t - 44040 = 0 for t.\nAnswer: -2202, -2, -1, -1\/3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13 + 6. Let x = s - -14. Let m = x - 5. Which is the closest to 2\/5? (a) 0.1 (b) 0 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*p**5 + 8*p**5 - 2*p**5 + (-1 + 1 + 2)*(-p**5 - 5*p**4 + 5*p**4).\nAnswer: 4*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0\/(3 + (-3 - 2)). Let p be ((-1)\/1 + x)*2. Let b(s) = -3*s - 1. Let k be b(p). Calculate the highest common factor of 2 and k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 16*j**3 + 4*j**2 - 3*j - 11. Let v be u(-4). What is v rounded to the nearest 10?\nAnswer: -960","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 163, 111, 59?\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.01759505 - -0.0176. What is h rounded to seven decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (41\/(-820))\/(2\/5)*2\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4.4002 + -2878.194.\nAnswer: -2873.7938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1750167573.\nAnswer: 3, 7, 11, 7576483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2182 divided by 7?\nAnswer: -2182\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 > -93059?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 127*j**3*y + 9*j*y - 3497*y wrt j?\nAnswer: 381*j**2*y + 9*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7108?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = 3*r - 588, 5*r = -4*l - l + 990. Does 4 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 32*q + 3. Let z be r(5). Let l be (-20 + 15)\/(-2 - -1). What is the units digit of 9\/(-15) + z\/l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(288)*4)\/sqrt(12))\/(4*sqrt(8)*-6))**2.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 640\/81 + -1199\/162. Suppose 4*t - 7 = 5. Let s*m**t + 3\/2 - 3\/2*m**2 - 1\/2*m = 0. Calculate m.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1290*z + 59128 = 101*z + 14616 for z.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1522335 to the power of 1\/2, to the nearest integer?\nAnswer: 1234","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2549 by 2.\nAnswer: -2549\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3 - 4\/(-4) - -4. Suppose 3*o = -n - x*n + 123, 5*o + 4*n = 210. List the prime factors of o.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 3*n - 700, 4*s - 1451 + 327 = -5*n. Let a = 262 - n. What is the remainder when 66 is divided by a?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let i = 15 + 7. Suppose 5*v = -3*z - 16, -2*z = -z + 5*v + i. Let q = 28 - 26. Solve z*t + 1 = q*g, 0 = 4*t + 2*g - 7*g - 1 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 36855.44cm to kilometers.\nAnswer: 0.3685544","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -12*z**2 + 6*z + 1. Let k be w(7). What is the units digit of k\/(-20) + (-1)\/4?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i - 2*i + 56. Let j = -7 + i. Is j a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:29 PM and 9:19 PM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**3 + 25*m**2 - 151*m - 37. Give b(14).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3 or -1\/17014248?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(3\/22)\/(u\/(u**37*u))*(u**15)**(8\/15))**29 assuming u is positive.\nAnswer: u**(28797\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14 - 18 + 2 - 4)*(14 - 52*k**3 + 4*k + 100*k**3 - 47*k**3).\nAnswer: -34*k**3 - 136*k - 476","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qtcucfc. Give prob of picking 1 t and 2 c.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32 - 25 - 27*t**2 - 7.\nAnswer: -27*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u = -4*t + 77, -2110*u = -2108*u + 4*t + 14 for u.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1\/3)\/((-8)\/(-144)). Let i(l) = l**2 - 4*l - 7. Let f be i(v). Suppose 2*s + f = 29. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n + 10*n + 58 = 5*c, -n - 32 = -3*c. Suppose 2*x - 3*g - 15 = 0, 2*g = -3*x + 3*g + 12. Calculate the remainder when c is divided by x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-39)\/(-52) - (-77)\/4. Suppose 0 = -18*o + h*o - 176. What is the common denominator of 756\/o*(-6)\/(-14) and 101\/14?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111111 + 10111100010011010?\nAnswer: 10111100001011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 140 is divided by 63?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -720 divided by -48\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 2 y when four letters picked without replacement from ppxhpbbhyyyyhxhpxex?\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -2*w. Let v(j) = -308375*j - 1726. Determine v(t(o)).\nAnswer: 616750*o - 1726","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 20*1\/6*-3. Let n = -11 + 32. What is the remainder when (656\/40)\/((-2)\/q) is divided by n?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a*a**(1\/7)))\/a*a**(-3\/11))\/(a**(-2\/33)*a*a*a**(-4)*a) assuming a is positive.\nAnswer: a**(-82\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/29181 and -1\/233448.\nAnswer: 233448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171)\/(sqrt(9)*3) + (sqrt(19) - (sqrt(475) + 2)) + sqrt(19) - (sqrt(684) + -1 + sqrt(2299) + -1 + sqrt(2299)))**2.\nAnswer: 160816\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -290*h**2 - 163*h - 164. Calculate g(-1).\nAnswer: -291","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ptjggtgtfjg. Give prob of sequence ttjp.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h = 3*n + 7, 55*h = 60*h - 5*n - 5 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -4 (b) -0.5 (c) 2 (d) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**3 + 3*x**2 + 6*x - 6. Let g be h(4). Suppose -p + 5*b - 4 = g*b, 3*b + 40 = 5*p. Let r = p - -6. Is 17 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 56335?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 20 = 0, 3*k - 975 = -2*k + 4*y. What is the remainder when k is divided by 36?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1050 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 9*w - 2014. Let z(m) = m. Calculate p(z(d)).\nAnswer: 9*d - 2014","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - 6*r = -3*d + r + 60, -3*d + 72 = -5*r for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, -2\/25, 12, 0.4?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*f + 37 + 3 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**2 + 15*h + 10. Let f be p(10). What is the highest common factor of f and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -2*f + 42. What is the smallest common multiple of v(5) and 13?\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/(g\/(g\/g**(-2\/9))))\/(g\/(g\/(g*g**(-2\/3)))))\/(g**1)**(-2\/197))**(1\/41) assuming g is positive.\nAnswer: g**(1594\/72693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -8, -11, -16, -23, -32?\n\"Answer: -f**2 - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13599*a**4 + 703*a**3 + 382*a**2 - 13046.\nAnswer: -326376*a + 4218","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 68 - 48. Suppose b*l - 9*l = 22. Suppose 0 = -l*a + 4*i + 125 + 25, -5*i - 15 = 0. What are the prime factors of a?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 160 = -5*f + 7*q, 5*q - 29 = f + 75 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**3 - 142596*o**2 + 2541131922*o + 20338182544.\nAnswer: 2*(o - 35653)**2*(o + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.03, 2, -7, 2\/13?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12)\/sqrt(4) + -4 - (sqrt(48) + -4))**2.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -52.4 + 48. Let t = -2.4 - v. Which is the second smallest value? (a) t (b) -1\/5 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 n when two letters picked without replacement from {n: 1, o: 7}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12.72 - -13.02. Which is the biggest value? (a) 0.1 (b) w (c) -1 (d) -146\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 298 is divided by ((-106)\/75 - (-20)\/250)*-15?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 62 = -4*a, 2*t - a - 54 = -1. Let i be (t\/(-4))\/((-7)\/28). Solve -4*w - i = k, 3*w + 8 = -7 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = j - 3*d - 141, 0 = 5*j - 2*d - 139. What is the remainder when j is divided by (-3)\/12 - (-41)\/4?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 16 = -4*y, -5*l - y = 4*y - 125. Which is the closest to -1? (a) 0.3 (b) 1 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.5 (b) 31 (c) -0.1 (d) -1\/2 (e) 0.16 (f) 29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/4*3*(-12)\/54?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2115 divided by 2\nAnswer: 2115\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/((4\/(-685))\/(54\/135)). Let g = -128 - a. Let r(n) = -n**3 + 32. What is the remainder when r(0) is divided by g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:16 PM and 7:00 PM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -975 - 1475. What is u rounded to the nearest 100?\nAnswer: -2500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 3*v**4 + 6*v**3 + 3*v**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 74\/225 and 61\/2934180?\nAnswer: 14670900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, 0, -5, 3.17?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 46 - 21. List the prime factors of (5 + (-20)\/5)*x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(140) - sqrt(140) - sqrt(140))*6 + (sqrt(140) - sqrt(140)*3 - sqrt(140))*-6)\/((sqrt(35)*-1*1)\/(-2*sqrt(567))).\nAnswer: 864*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/35404 and -79\/31164.\nAnswer: 5204388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7222162?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 12 = 2*b - 41, 0 = -2*p + 10. What is the first derivative of -19 - 18 - 75*f**3 - 88*f**2 + 41*f**b + 47*f**2 wrt f?\nAnswer: -225*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**2. Let m be k(0). Let d = m - -4. Solve l = -d*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -1779*s + 56955. What is t(32)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -528*w + 144. Let z be f(-8). Suppose z = 62*j - 46*j. Is 21 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*(g**(-11)*g)\/g*g)\/(g**(-1\/7)\/g)*(g**2\/g)**(-1\/4) assuming g is positive.\nAnswer: g**(-227\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6348 + 6348.011089. What is u rounded to four dps?\nAnswer: 0.0111","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2348 + 2327. What is the third smallest value in b, 0.7, -2?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 25001918 to the nearest 100000.\nAnswer: 25000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*u - 4*h + 10, u + 4 = -h + 10 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add -179749 and 89.718633.\nAnswer: -179659.281367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 15*h + 27 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 80\/72 - 160\/(-18)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 minus 1158?\nAnswer: -1158.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28\/24*(-6560)\/(-80)*84\/(-98).\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**3 + 6*u**2 + u - 3. Let f be v(6). Factor 4*k + 2*k**f - 4*k - 2*k.\nAnswer: 2*k*(k - 1)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88*u + 124 = -209 - 19 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11445 bigger than 11444?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -35\/16 - -113\/48. What is the nearest to 0 in 2, 5, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (486 - 486 - 30*x**4)*(-2*x - 4*x - 4*x).\nAnswer: 300*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/162*6*(-8)\/(-6)\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 9*m**3 - 2*m**2 + 4*m - 7. Let k(w) = -4*w**3 + w**2 - 2*w + 3. Let i = 30 - 27. What is i*v(t) + 7*k(t)?\nAnswer: -t**3 + t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -21232323032 + -10?\nAnswer: -21232323102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -2\/19 (b) -2 (c) 0 (d) 0.01 (e) 0.16\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 2*j + j + 8 = 0, 0 = -5*o + 4*j + 20. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = 8*u + 23 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**2 + 4*t - 6. Let c be l(3). Let m be 3 + c\/((-15)\/3). Is m less than or equal to -2\/39?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 184.9 - 0.37021.\nAnswer: 184.52979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/(c\/(c*c*c*(c*c**(-1\/4))\/c)))\/c*c)**(-6\/19)*c**(-2\/25)*c**(2\/17)*c)\/((c\/(c**2\/c)*c)\/((c**10\/c)\/c))**0 assuming c is positive.\nAnswer: c**(2733\/16150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 15 + (7 - -484) + -12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 130*b**2 - 18*b**3 - 18*b**3 + 33*b**3 - 606*b.\nAnswer: -3*b**3 - 130*b**2 - 606*b + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (7 + -3 + 1 - 3) + -3\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-47)\/(-2) + 2\/(-4). Suppose -4 = 2*z - 4*z + 4*w, -z = -4*w. Suppose -z*p = -2*p - 8. Solve 5*c = p*b - 11, -7*b + x = -2*b + 3*c for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117*z + 291 = 408 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, h: 3, w: 2, z: 3, e: 1, p: 1}. Give prob of picking 1 z and 1 p.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 277 is divided by 11.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 3*y + 2, -3*y - b = -0 - 4. Let t(l) = l - 3. Let a be t(y). Let p = 13 - a. Calculate the highest common divisor of 112 and p.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 30*b**3 + 28*b + 7. Let w(h) = -9*h**3 - 9*h - 2. Calculate 2*m(j) + 7*w(j).\nAnswer: -3*j**3 - 7*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the third derivative of 0*k + 0 - 1\/2*k**3 + 0*k**4 + 0*k**6 + 2*k**2 + 0*k**5 - 1\/35*k**7. Differentiate t(l) wrt l.\nAnswer: -24*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes before 9:56 PM?\nAnswer: 3:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7140 and 1260.\nAnswer: 21420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1884 divided by 1?\nAnswer: -1884","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*x**3 + 441*x - 410*x + 24*x**3 + 6*x**3 wrt x?\nAnswer: 204*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 9403143, 18806285, 28209427, 37612569, 47015711, 56418853?\n\"Answer: 9403142*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 72 - 76. Let r = 0.1 - 2.1. Let j = 232 + -231.5. Which is the closest to 0? (a) r (b) j (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x + 1. Let i(y) = -11*y - 6. Determine 5*d(v) + i(v).\nAnswer: -6*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qtp when three letters picked without replacement from ttqtqtp.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-26)\/65 + (-1 - (-107)\/5). Solve -l = 16*q - 12*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*r**4\/9 - 124*r**3 - 17298*r**2 = 0. Calculate r.\nAnswer: -279, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 4*x**2 + 34*x + 4. Let j be n(-10). Let i = 43 - -21. Let y = j - i. Solve 0 = -y*w + 5*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a century in months?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 8*o. Calculate the common denominator of (o - 23\/5) + 0 and -43\/3.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - f - 76 = k, -5*k = -f + 88. Suppose x - w = 6*x - 368, -5*w = -4*x + 306. Is x greater than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -471*v - 1877*v - 949*v - 194523 = 0 for v.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 5 = 1, 0 = 2*z + 4*m - 2. Let o(i) be the second derivative of i**4\/12 - 5*i**3\/6 + 3*i**2\/2 - i. Calculate o(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**5*f\/(f*f\/(f**(-2\/3)\/f)))\/(f**(2\/3)*f)**14*((f**(-2)*f)\/f**3)**(2\/85) assuming f is positive.\nAnswer: f**(-1793\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2723\/7640 + -6\/191. Calculate the common denominator of g and 53\/508.\nAnswer: 5080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*a + 0*a - a**2 + (-22*a - 26*a + 15*a)*(2 + a + 0*a - 3*a) to the form c*a + o + q*a**2 and give q.\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -8*h**3 + 321*h**2 - 372*h + 13203. Determine x(40).\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6125 > 6125?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3b06 + -510?\nAnswer: -4416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*n + 55*n = -12. Let d be (-1)\/(((-10)\/6)\/5). Suppose -9 - 6 = -3*y. Solve n*f - 2*z + y = -3*z, d*z + 15 = 4*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -41 + 46. Solve -m = -5*c + 25, 0*c + l*m = -4*c + 20 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and -0.379545.\nAnswer: -1.51818","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 209861, 419725, 629589, 839453, 1049317, 1259181?\n\"Answer: 209864*g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 42453482?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -2*h**3 - h**2 + 4*h + 3. Let b = -6 + 4. Let v be k(b). Let f(z) = z**2 - 7*z + 3. Let j be f(v). Solve -2*d - 3 = -j*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 19369455?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79 = 3*p + 2. Let g = p - -52. What is the tens digit of -9 + g\/5 - -195?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11 - -11.4. Let t be 6 + -2 + (14 - 2). Let y be -3 - 2*(-27)\/t. Which is the second smallest value? (a) i (b) -3 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.2 less than or equal to -193361?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1493952\/80 - (-2 - (-7)\/5).\nAnswer: 3, 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1654969.\nAnswer: 107, 15467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -150 + 94. What is the remainder when 305 is divided by m?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 6*p**3 + 10*p**2 + 6*p - 3. Let m be h(5). What is the hundreds digit of m\/7 + 18\/14 + -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105*u**3 - 1991*u**2 + 2176*u - 80 = 0.\nAnswer: -20, 4\/105, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4314 + -3880. List the prime factors of h.\nAnswer: 2, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5924*j**3 + 2068 wrt j?\nAnswer: 17772*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3109 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1390b8 (base 12) to base 5.\nAnswer: 40423412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -79, -100, -137, -196, -283?\n\"Answer: -s**3 - 2*s**2 - 8*s - 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:53 PM and 9:53 PM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2007 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 27*o - 23*o - 6*o. Let p(y) = 41*y + 1. Determine p(i(s)).\nAnswer: -82*s + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 6*v**3 + 6*v**2 - 6*v + 5. Let o(j) = -6*j**3 - 7*j**2 + 7*j - 6. Let y(h) = -6*o(h) - 7*t(h). What is the derivative of y(k) wrt k?\nAnswer: -18*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 25013126?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*i - 68*i**2 - 20*i + 2 + 14*i.\nAnswer: -68*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/12352 and -75\/1648?\nAnswer: 1272256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -363 * 85649.\nAnswer: -31090587","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 + 16831*z + 29 - 13 - 16800*z.\nAnswer: 31*z + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*y - 3*y - y + 7*y - 646 to a + m*y and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 3 * -2144\nAnswer: -6432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 103 = -4*p, -26*p + 107 = -22*p + g. Suppose -7 + 88 = 3*v. What is the highest common divisor of v and p?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 3*n**3 + 507642*n**2 + 21475033347*n = 0.\nAnswer: -84607, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2321 and 10351.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 45*(-54)\/81*(-6)\/(-8)*16\/10?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5405567 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 34 and 35182?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5.9 - 0.9. Let i = a + 7.2. What is the smallest value in i, -2, 4, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -42760203 + -13?\nAnswer: -42760216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a gram in milligrams?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2\/((-6)\/33))\/(-1). Let w be 810\/22 + 2\/v. Let s = w + -17. What are the prime factors of s?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*k + 61*k - i = -7, k = -5*i + 27 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -6.62, -1598.5, -2\/3 in descending order.\nAnswer: 1, -2\/3, -6.62, -1598.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**2 - t + 4. Let x(z) = z**2 + 3 - 2*z + 0 + 4*z - 3*z. Let h = 2 - -1. What is h*y(d) - 4*x(d)?\nAnswer: -d**2 + d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2812 (b) 3 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x + 2*j - 505 + 533, 0 = 3*j + 6. Which is the closest to 5? (a) x (b) 5 (c) -0.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4692 - 4660.415. What is o rounded to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**1*i)\/i)**(18\/13)*(i*i**(-2\/9))\/i**(-1\/10) assuming i is positive.\nAnswer: i**(4267\/1170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/(-3))\/(356\/(-7476))?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 10822 divided by -2?\nAnswer: -5411","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 168 = -11*g + 7*g. Let i be 929\/9 - 2\/9. Let s = i - g. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 0) + 15 + 38 + -63?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -140, -147, -166, -203, -264, -355, -482, -651?\nAnswer: -868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*r**5 + 62613*r**4 - 250503*r**3 - 62613*r**2 + 250500*r = 0. Calculate r.\nAnswer: -20875, -1, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12 - 2. What is the least common multiple of (-15)\/x*12\/(-9) and (-25)\/(-3) - 6\/(-9)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -584 + 0?\nAnswer: -584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47709740 is divided by 9541941.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b - 3*m - m - 10, -5*m - 14 = -b. Let h be (4 - 1)\/(-3)*-5. Suppose 5*w = 25, -h*r + 10*r = -3*w. Sort 2, b, r.\nAnswer: r, b, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 239 is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 486\/5616*(-10)\/15*(-8)\/(-2)?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -20.512147 less than -9496?\nAnswer: -9475.487853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 13127 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(4\/(-3)))\/(95 + 142832\/(-1504))?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 0.3, -2, -17, -704, 0?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the second derivative of -n**8\/84 - n**4\/6 - 3*n**2 - 5*n. Let l(m) be the first derivative of d(m). Find the second derivative of l(p) wrt p.\nAnswer: -80*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 388124 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/72 and 91\/85320.\nAnswer: 85320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**3 - 12*f**2 - 92*f + 17. Is 9 a factor of l(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (0 + sqrt(425) + -2 - sqrt(425)) + 5 + -2*sqrt(425) + sqrt(425) + (sqrt(425) + -1)*5)**2.\nAnswer: -160*sqrt(17) + 6816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 61017?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 2*m**2. Let s(f) be the first derivative of 2*f**5\/15 + 2*f**2 + 5. Let q(j) be the second derivative of s(j). Determine t(q(n)).\nAnswer: 128*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a tonne in kilograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + g - 722 - 151 = 0, -g - 447 = -w. Calculate the highest common divisor of 568 and w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and -20421.\nAnswer: 10210.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 30 + 23 - 2*y**3 + 7*y + 21 + 3*y**3 wrt y.\nAnswer: 3*y**2 + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -728 <= -728?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-48*i - 148*i - 109*i)*(-4*i**3 + 5*i**3 + i**3) + 4*i**4 + 15 - 15 in the form u*i + f + b*i**2 + s*i**3 + j*i**4 and give j.\nAnswer: -606","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -388311255*t**3 + 601*t**2 - 9*t - 1074.\nAnswer: -2329867530","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 204*c. Let w(x) = -29*x**2. Let d(n) = -8*n**2. Let m(q) = 22*d(q) - 6*w(q). What is m(r(k))?\nAnswer: -83232*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes after 6:45 PM?\nAnswer: 10:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1923 rounded to 2 dps?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -43393133 (b) 2\/9 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-5)\/20)\/(5\/8). Let z = -2 - -1.7. Let u = -0.7 + z. Is i greater than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 5*l = -12. Suppose -l*w - 8402 = -8*w. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3556303?\nAnswer: 463, 7681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qrqqrqllhrrlhrqqqgq. What is prob of picking 1 r and 1 l?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 33866 and 678559.\nAnswer: 55641838","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/3129 and 35\/3576?\nAnswer: 25032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**3 - 2*w**2 - 3*w + 5. Let c(q) = q**2 - 10*q + 3. Let b be c(10). Let j be d(b). Suppose -r + 934 = 4*i + 251, -4*r = -j*i - 2648. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 2*m - 3*g, g + 0 = -4*m + 7. Let v be 1\/m + (-178)\/(-2970). Let s = v + 2\/297. Is 2\/5 less than or equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t - 4*t + 2*t)*(-3 + 2 + 9 - 5 - 1 + 4 - 2 - 3 + 2 + (4 + 0 - 2)*(-1 - 3 + 3)).\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1623*f**2 + 5 - 12 + 813*f**2 - 21 + 813*f**2.\nAnswer: 3*f**2 - 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7328*y**3 + 8652*y**2.\nAnswer: 43968","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 8*l + 59. Let g be u(-5). Which is smaller: g or 20?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the second derivative of -1\/12*q**4 + 0 + 1\/6*q**3 - 4*q + 0*q**2. Let w(b) = b**3 + 3*b**2 - 4*b. What is 5*j(c) + w(c)?\nAnswer: c**3 - 2*c**2 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 382346, 766300, 1150254, 1534208, 1918162, 2302116?\n\"Answer: 383954*l - 1608","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qiqqiiiiiqiqiiiqiqi. Give prob of sequence qi.\nAnswer: 14\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 581541683 a multiple of 2461?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 8954084 divided by -26?\nAnswer: -4477042\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5467 + 5507. Solve 123*b + h = 103*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -4*(sqrt(6)\/sqrt(2) + -5).\nAnswer: -4*sqrt(3) + 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(102) + 1*(sqrt(102) - ((sqrt(102) - (sqrt(102) + 2*sqrt(102) + sqrt(102) - sqrt(102))) + sqrt(102))) + sqrt(102))\/(sqrt(18)\/sqrt(12)).\nAnswer: 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2324 divided by -2.\nAnswer: 1162","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 575908 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -41 (base 5) to base 6\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 - 115\/40) + 1\/(-8). What is the remainder when 4 is divided by 3\/(14\/8 + p\/4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 125 - 48. Suppose 619 = 6*m - w. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 plus -9570719880380?\nAnswer: -9570719880383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -8882004 divided by -102092?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 100 - ((-118 - -22) + 129).\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**3 + 2*g**2 + 12*g + 70. What is j(-6)?\nAnswer: -146","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 4*z + 10 + 2 = 0, -3*q = 5*z + 15. Let f = 20 + -14. Let m be q\/((-1)\/(2 - 14\/f)). Solve m*t - 5 = -t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2505 + -2483. Let s(a) = -35*a**2 + 11*a - 11. Let h(c) = -9*c**2 + 3*c - 3. Determine k*h(p) - 6*s(p).\nAnswer: 12*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-11)\/p)**(1\/22)*p**(-14)*p**4)**(-1\/13) assuming p is positive.\nAnswer: p**(116\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -237296.6 to the nearest 10000.\nAnswer: -240000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 13*x. Let c(a) = -a. Let p = -10 - -5. Suppose -13 = 7*b + 6*b. Let n(r) = 6*r. Let g(m) = b*n(m) + p*c(m). What is o(g(w))?\nAnswer: -13*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (((-9)\/(-2))\/3)\/(2\/8). Let k(d) = d**2 + 2*d + 2. Is 10 a factor of k(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2*1 - 2*-6. Suppose -7 = 3*u - 4*g, 3*u + 0*u = g + 5. Suppose 0 = -d + 5*d. Solve d = -u*n + n + x for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, 2\/9, 0, -6\/7, 23892 in ascending order.\nAnswer: -6\/7, -1\/4, 0, 2\/9, 23892","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5ac + -c1?\nAnswer: -68d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 45476 and 90952.\nAnswer: 90952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (167 - -4)\/(17\/(20 - 3)). What is the highest common factor of q and 675?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((-2 + sqrt(17))*2 - sqrt(17)) + 1 + (-4*(sqrt(136)*1 + sqrt(136) - sqrt(136)))\/((1*sqrt(64))\/sqrt(8)))**2.\nAnswer: 18*sqrt(17) + 162","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 45 - 45. Suppose o = -d + 5 - 3. Suppose -2 + 7 = 5*a + 2*w, a + 7 = -d*w. Solve -7 - a = -2*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 6 + 5 + -3 - 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**3 - h + 12. Suppose 2*m = 4*s + 6, -4*m = -s - 5 - 7. Suppose -c + 2*t - 7 = -2*c, 2*c = 4*t + 6. What is the remainder when j(s) is divided by c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 720605?\nAnswer: 5, 167, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 2*s**2 - s - 5. Let y(q) be the second derivative of -q**4\/3 + q**3\/3 + q**2\/2 + 6*q. Let i be y(-1). Let v(n) = -1. Give i*v(l) + u(l).\nAnswer: 2*l**2 - l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + h = -1, 0 = -5*o - 4*h + 5*h - 13. Let y = -2.3 - -2. Put o, y, 3 in descending order.\nAnswer: 3, y, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h - 4. Let j be q(0). Let n = j - -6. Suppose 9 - n = -z. Is -5 equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 3364732?\nAnswer: 5\/3364732","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77*d + 93*d + 71 = -99 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, b: 4, x: 1, z: 4}. Give prob of sequence zbx.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 438, -1337, -4300, -8451?\nAnswer: -13790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2095994 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-8 + 25\/3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and 74486?\nAnswer: 22345.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that w**2\/2 - 186888*w - 373777\/2 = 0.\nAnswer: -1, 373777","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i + 0*i + i)*(-2 + 1 - 3).\nAnswer: 4*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(7*(-4)\/(-84)*-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -163 + 401 + 151 + 1352*o + 176 + 88 wrt o.\nAnswer: 1352","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 10 + -5 + -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-138)\/12 + 11)*(-4)\/2\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -348104*a**3 + 74398*a - 3?\nAnswer: -2088624*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 5 = -5*v, v - 5*v = 5*z - 17 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 45206, 90636, 136070, 181508?\nAnswer: 226950","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 6478762.\nAnswer: 1\/6478762","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -2*z - 24. Let x(g) = -g**3 - 9*g**2 - 9*g - 8. Let d be x(z). Suppose -2*s - 2*s + 28 = d. Let q(l) = l**2 - 6*l - 4. Give q(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 divided by -19\nAnswer: 9\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 159*j + 2655. What are the prime factors of v(48)?\nAnswer: 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2939892 and 6544?\nAnswer: 1636","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3607 - -3627. Solve -4*z + 8 = d for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -162263652 divided by 2?\nAnswer: -81131826","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 150936, 150676, 150412, 150144?\nAnswer: 149872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**2 - 11*q - 4. Let l be d(11). Let f(v) be the second derivative of -5*v**3\/3 - 5*v**2\/2 + 5*v. Is f(l) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 333 times -0.0245665\nAnswer: -8.1806445","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**2 + 3. Let g(p) be the first derivative of -2*p - 6. Let h(n) = 5*g(n) + 4*l(n). What is the derivative of h(b) wrt b?\nAnswer: -8*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3 + -6*(-20)\/75 + 1. What is the fourth biggest value in -4, 2, i, -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 4*w - 26 = -6, -5*w = r + 32. Let s = 3 + -1. Put -1\/11, s, r in increasing order.\nAnswer: r, -1\/11, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 to the power of 1\/5, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:23 AM and 4:11 PM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 90364730 a multiple of 185?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12300322220223 - -1?\nAnswer: 12300322220230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -9101679 to the nearest 1000000.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 4*y + 7*c + 10, -3*y + c = 20. Let h be y + (-182)\/(-35) + 9\/5. Suppose h*a = -2*g + 1146, -6*g - 573 = -7*g + 3*a. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 51 - 45. What is the tens digit of 15\/(x\/40*4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 8345 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -57\/7 in 0.5, 2\/15, 2\/13, 4\/7, 2\/5?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 2*u. Let s(c) be the second derivative of -6*c + 0*c**3 - 1\/12*c**4 + 0 + 0*c**2. Calculate y(s(l)).\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f - 3*j - 1 = 0, 34*f - 56*f - 6*j = -26*f - 46 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 40 - 36. Suppose 4 = -2*t + 12. Let z = t + -1. What is the closest to 2 in -1\/7, z, m?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 3*l - 4 = -3*o, -4*l + 17 = o. Suppose 42 = v + 4*m, o*v - 5 = m + 142. What are the prime factors of v?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3088 and 18622184.\nAnswer: 1544","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Convert 91.80023 tonnes to grams.\nAnswer: 91800230","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x + 0 - 4 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 3*i - 5*i. Let x = 0 - i. Suppose -2*q - b - 17200 = -4*q, 2*q = -x*b + 17200. What is q rounded to the nearest 1000?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 56*s. Let x(p) = -85*p. Let t(o) = 2*x(o) + 3*y(o). Let i(g) = -2622*g**2. Calculate t(i(a)).\nAnswer: 5244*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 283 - 283.4. Let k be 6\/(-4)*6\/54*-2. Which is the biggest value? (a) k (b) -3\/7 (c) 2\/3 (d) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) 1 (b) 0.03 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 - (-31 - -1) - 46.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -45*d + 2700. Let z be k(60). What is the fourth smallest value in z, 0.19, -0.2, -1, 2?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4\/6)\/((-3)\/(-117)). What is the remainder when -14 - 1130\/(-80) - 414\/(-16) is divided by (-91)\/r*(-1 + -1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 23917, 44150, 64383, 84616, 104849, 125082?\n\"Answer: 20233*v + 3684","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**2 + 7*r - 10. What is the lowest common multiple of a(2) and 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4016 and 48?\nAnswer: 12048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.8 + -0.2. Let i = -210.8 - -189. Let f = 22 + i. Which is the smallest value? (a) f (b) x (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 1 + 4*w + 0)*((22*w + 17 - 17)*(-2*w**2 - 3*w**2 + 3*w**2) + 2*w**3 - 2*w**3 - w**3) to c*w + y*w**4 + b + r*w**3 + o*w**2 and give r.\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**18*l*l\/(l\/(l\/(l**(-2\/47)*l)*l)*l) assuming l is positive.\nAnswer: l**(895\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i - 2*i + 0*i)*(-8*i - 9*i - 15*i).\nAnswer: 64*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 244841?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-14)\/(-3) - 10\/15. Let k = -3\/2 + 11\/10. Which is the nearest to -0.1? (a) k (b) g (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -2*c**2 - 17*c - 5. Suppose -16 + 8 = t. Let d be s(t). Suppose -6*a + 5*a = -d*k + 279, 190 = 2*k - 2*a. What are the prime factors of k?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -21 + 24. Let n = 3 - 3.1. Let k be 8\/(-7) - (-1 - 0). Put g, n, k in increasing order.\nAnswer: k, n, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -7*o + 69. Let l be j(9). Let q(m) = m - l*m + 13*m. Calculate q(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-13) - 41\/(-13). Let x be 0\/(((-6)\/(-2))\/r). Suppose -4*u + 140 + 340 = x. Calculate the greatest common factor of u and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (54 - -104) + -123 - 76?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is h in h**4\/4 - 51*h**3\/4 + 663*h**2\/4 - 25*h\/4 - 1875 = 0?\nAnswer: -3, 4, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -2 and -37\/42536073.\nAnswer: 42536073","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 20, 43, 70, 107, 160?\n\"Answer: m**3 - 4*m**2 + 28*m - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 4, c: 2, a: 8, t: 5}. What is prob of picking 1 c and 1 o?\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k**4\/5 - 19569*k**3\/5 - 31921923*k**2\/5 - 31863231*k\/5 + 63804726\/5 = 0. Calculate k.\nAnswer: -3261, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 13487 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 150, 193, 142, -3?\nAnswer: -242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q + 5*d - 58 = 2*q, -3*d = 5*q - 79. Suppose -1 = 8*z - q. Find the second derivative of -z*k - 6*k + 5*k + 6*k + 8*k**4 wrt k.\nAnswer: 96*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + 3 + -5 + 2 + -2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 827237920?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*h - 8*h = 28. Suppose h + 5 = 4*k. Suppose -70 = -k*t + 1223. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**3 - 27*v**2 - 126*v - 775. What is t(-23)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -476 - -496. Calculate the lowest common multiple of 14 and u.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 60 and 120?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2248 + -1.\nAnswer: 2247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5727872940?\nAnswer: 2, 3, 5, 29, 3291881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 561, 551, 527, 483, 413, 311?\n\"Answer: -r**3 - r**2 + 563","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 f when four letters picked without replacement from jfjffff.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d - 6 + 18 + 6. Suppose 2*l = 10 + 32. Is x(l) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 354 + 0 + 51\/(-17). What is the greatest common divisor of i and 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -87\/16118 and 23\/6.\nAnswer: 48354","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 338151625 a multiple of 1561?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 0 - 37*y**2 - 1.\nAnswer: -37*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 575.2271 kilometers in micrometers?\nAnswer: 575227100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(sqrt(816) - 1*(-2*sqrt(816) + sqrt(816) - sqrt(816))))\/((5*sqrt(300)*2 - sqrt(300)) + (sqrt(300) - (sqrt(300) + 5*sqrt(300)*2))) + -2)**2.\nAnswer: 72*sqrt(17)\/5 + 5608\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes after 1:25 PM?\nAnswer: 9:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Do -41 and -357672\/9053 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 974052.8ms?\nAnswer: 974.0528","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -160*x + 61*x. Let r(i) be the third derivative of 0*i**6 + x*i + 17*i**2 + 0*i**4 + 1\/30*i**7 + 0 + 0*i**5 - 3\/2*i**3. Differentiate r(m) wrt m.\nAnswer: 28*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = 5*a - 7282, 7318 = 3*j - 33*a + 29*a. Is 11 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4960187215 to the nearest integer?\nAnswer: 1705","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -44+1.035952\nAnswer: -42.964048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 57\/5 of a litre in millilitres?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 214?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 428564.\nAnswer: 2, 19, 5639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -22*n**3 - 2*n**2 + 4*n - 2. Let t be k(1). Let u = -20 - t. Suppose u*h + 21 = 3*h - 2*q, 0 = h + 4*q - 9. List the prime factors of h.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 0 + -1 + -5 + 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 151 - -231. Let b = f - 237. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34247*h + 34225*h - 2 - 68419*h.\nAnswer: 53*h - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1183 - 21289\/18. Let p = 1\/45 + d. Let g = p + 1\/5. What is the third biggest value in g, 1, 3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(-3)*20*(-240)\/32. Let y be -2 - (-1320)\/25 - 1. Let r = m - y. Which is the third biggest value? (a) -0.8 (b) r (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -59 - -76. Suppose 0 = -k*u + 14*u + 4083. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i - 1 - 9. Let c = i + 10. Suppose -7*o = -c*o - 20. What is the remainder when o is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 13920420 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*s**3 - 7*s**3 - s + 0*s + 46*s**2 - 36.\nAnswer: -7*s**3 + 46*s**2 - s - 36","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.7 + 0.3. Let t = -439\/4 - -2183\/20. What is the closest to 2\/5 in t, 0.5, d?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 4568 and 9.\nAnswer: 4577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 31 = 3*m, -5*m + 0*m = -2*b + 40. Factor -b*x + 108 + 7*x + 3*x**2 - 18*x.\nAnswer: 3*(x - 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/2808 and -71\/1404.\nAnswer: 2808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1272118*a - 636062*a - 636058*a.\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2400\/500)\/(9\/(-30)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 92645*a**3*o**2 + 162*a**3*w**2 - 16*a**3*w + 8*a**2*w**2 + a*o*w**2 - 49*o - 9*w**2 wrt o?\nAnswer: 185290*a**3*o + a*w**2 - 49","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -83*i + 209. What is the remainder when p(-3) is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 931121575?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 758 is divided by 87.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 37 + 0 + (745 - 769)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 47 - 53 - (-5 + 2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 54 = -60. Let x(r) = q*r**2 - 5*r**2 - 8*r**2 - 3*r**2. Let z(l) = -4*l**2. Determine z(x(m)).\nAnswer: -784*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 47 + 7 = 0. Let c = 225 - 200. Suppose -3*y + 87 = 3*m, c*m = 22*m + 3. What is the remainder when y is divided by d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/10752 and 43\/16128.\nAnswer: 32256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -3*m + 10. Let f be a(5). Let n = 26 + f. Suppose 2*i - n = 9. What are the prime factors of i?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 2*b**2 - 2*b + 2. What is n(-4)?\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 634 (base 7) to base 13\nAnswer: 1b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 - 1010000?\nAnswer: -1010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -5*b - 18. Let u be i(-5). Let p = 14 - u. Solve -p*s - 20 = -3*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 56 and 1314992?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*f**3*x - 5810*f**3 + 62*f**2*x - f**2 - 109*f*x + 8*f with respect to x.\nAnswer: -3*f**3 + 62*f**2 - 109*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:01 AM and 4:42 AM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10229 and 2173.\nAnswer: 419389","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the second derivative of 17*z**7\/42 - 2*z**3\/3 + 15*z. Find the second derivative of v(w) wrt w.\nAnswer: 340*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, -2\/7, 3\/2, -2\/11, 0.38, -2\/19?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -5728.9644\nAnswer: -5724.9644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*y + z + 13, -2*y - 8*z = -9*z - 10 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -2, -3, -4 in descending order.\nAnswer: 11, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, t: 1, y: 1, i: 4, v: 6}. Give prob of picking 1 i and 1 v.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the first derivative of -10 - 2*d**2 - 11 - 8 - 17*d + 26. What is the remainder when 4 is divided by u(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5182*v**3 - 1 + 5*v**2 + 1 - 2747*v**3 - 2432*v**3.\nAnswer: 3*v**3 + 5*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4.79 + -0.21. What is the nearest to -0.3 in i, -1\/2, 0.4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7*(-3)\/(-15))\/((-196)\/(-245)))\/(-2)?\nAnswer: 7\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 - 131?\nAnswer: -12b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10032 = 17*o + 7*o. What is the greatest common factor of 2 and o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 6*v**2\/11 - 240*v\/11 + 666\/11 = 0.\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (67 - 11977\/118) + 3\/6 + -2?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 126 and 2448.\nAnswer: 17136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -s. Suppose s = 5*b + 3*d + 20, -4*d = 2*b - 3*d + 8. Let c(y) = -2*y - 6. Let j(h) = -h - 5. Let z(g) = 3*c(g) - 4*j(g). What is z(b)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) -4\/5 (c) 15 (d) -15\/4 (e) -17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i + 2*f + 2 - 20, 5*f = -2*i + 13. Let a(v) = v**3 - 10*v**2 - 10*v - 10. Let w be a(11). Solve -i*l = 7 + w for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 5, -8, -2 in decreasing order.\nAnswer: 5, -2, -7, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 338 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 186589.\nAnswer: 13, 31, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 379 is divided by 108?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, u: 7}. Give prob of picking 2 u and 2 m.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p + 3*c - 20, 2*c - 4*c + 28 = 5*p. Suppose -3*r = -5*q + 98, -p*q = -4*r + r - 76. Solve 6*t + 29 = 5*k + 3*t, -4*k + q = -2*t for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -x**2*y**3 + 687*x**2*y**2 + x**2*y + 6*x*y**3 - 127*y**3*z - 2*z + 2 wrt y.\nAnswer: -6*x**2 + 36*x - 762*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 3*t. Let z = t + 3. Let x be z\/(54\/(-15)) - -1. Which is the nearest to -0.2? (a) x (b) -5 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes after 7:12 AM?\nAnswer: 12:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -12*u**2. Let s(t) = -t. Let k(m) = -6*m. Let o(f) = -2*k(f) + 10*s(f). Calculate o(y(a)).\nAnswer: -24*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 98 a factor of 751366?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2*1 - (-4)\/4. Let o be (-9)\/2*(-2)\/v. Suppose 2*i + 4*q = 16, -o*i - 2*i = 5*q - 30. Does 4 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2676.\nAnswer: 2, 3, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b + 3*r + 16, -r - 9 - 3 = 3*b. Sort 1818, b, 0.\nAnswer: b, 0, 1818","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/4 of a litre in millilitres?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**2 - 218*s - 8435. List the prime factors of l(-158).\nAnswer: 3, 13, 1307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t + 20 = -t. Suppose -2*p = -3*p + 20. Suppose -4*a + m = -p - 19, 0 = -a - t*m - 3. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (12\/10)\/((-3)\/(-810)) - -3.\nAnswer: 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n + 1. Let p be h(-4). Put 2, -1, p, 0 in ascending order.\nAnswer: -1, 0, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3002 - 116*k**2 + 115*k**2 + 3002.\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h - 148. Let q(s) = -129*s - 44. What is v(q(w))?\nAnswer: 129*w - 104","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*g - 36 + 65 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-7) - (-26)\/(-91). Let b(k) = -2*k + 0*k + k + 3 + d. Calculate b(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**7*c**(2\/17)*c)**(1\/2)\/(c\/c**5*(c*c**6)\/c*c*c*c*c*(c*c**(1\/6)\/c*c*c*c)\/c*c*c**3) assuming c is positive.\nAnswer: c**(-827\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*i**4 - 3*i**4 + 13*i**4)*(29*i + 107 - 107) + i**3 - i**3 + 3*i**5 - 3*i**5 + i**5 + 3*i**5 + (-3*i**4 + 2*i**4 + 0*i**4)*(2 - i - 2).\nAnswer: 730*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 492 and 902?\nAnswer: 5412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1690, -10, 85.\nAnswer: -10, 85, 1690","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -73*h**3 + 91*h**3 + h + 128*h**3.\nAnswer: 146*h**3 + h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p + p + 27*p = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:02 PM and 7:12 PM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g = g - 2*c + 10, -2*c = g - 6 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g + 2 = 2. Let l(j) = -j**2 + 5*j + 33. Let c be l(g). Let p = c + 0. Does 13 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5026 + 8431. Let h = 281 - 314. What are the prime factors of 6\/h + d\/33?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1983 - 83*t**2 + 1507 + 1507 - 4997.\nAnswer: -83*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -2*v. Suppose 5*w + 4*h = -47 + 127, v = 2*w - 5*h - 65. Is w a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -ab7 (base 15) to base 14.\nAnswer: -c50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 31\/26 - 211\/117. What is the common denominator of 47\/7 and j?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 46012 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 11*o**2 - 3*o - 2. Let x be q(-1). Let w be (-2 + -7 + x)*2\/2. Suppose -w*y = -0*y - 75. Solve 0*f = -5*f - y for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 - 20 = -11*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -14\/153 and 11\/337195.\nAnswer: 3034755","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8913 is divided by 81.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*r**2 + 6*r**5 - r**5 - 12*r**2 - 4*r**2 wrt r.\nAnswer: 300*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the first derivative of 1\/4*f**4 - 1\/2*f**2 + 0*f**3 - 9 + 0*f. Calculate a(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 - 12 = 3*t + 4 for t.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 810 and 4.\nAnswer: 1620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 768898 is divided by 3715?\nAnswer: 3608","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 21.60669 * 242\nAnswer: 5228.81898","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/((-56)\/64 - -1). Let v = -1 + 3. Let o(x) = d*x + v - 2 - 10*x. Let r(g) = -3*g**2. What is o(r(i))?\nAnswer: 6*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-9*9\/(-324).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -94 - -18. Let o = 78 + r. Solve -1 = z - o*n, 0 = -3*z + 2*z - 2*n - 9 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**2 - 7*v + 3. Let b(q) = -3*q + 2. Let c be b(3). Let x be p(c). Suppose -129 = 5*m + 38*m. Put x, -1, m, 5 in decreasing order.\nAnswer: 5, x, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes after 9:52 AM?\nAnswer: 12:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 3*y. Let z be ((-4)\/12)\/((-6)\/36). Let j(m) = -13*m + 1. Calculate z*j(x) + 9*n(x).\nAnswer: x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00069179191 rounded to 7 dps?\nAnswer: -0.0006918","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99*z + 68*z + 836171 = 102*z. Is 84 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 3\/5 of a millennium?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = j + 3*c + 3, -10*c = -5*j - 5 - 10 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.9 - 3.9. Let h = -0.1163 - 0.1837. Which is the third smallest value? (a) n (b) h (c) 0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7469, 7451, 7433, 7415, 7397, 7379?\nAnswer: 7361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15272 and 184?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 - (3*(-23)\/(-2))\/((-4669)\/1334).\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*-2*sqrt(275)*2 - (((sqrt(1100) - 2*sqrt(1100))*-2)**2 + -5 + sqrt(1100)*-1).\nAnswer: -4395 - 50*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 40 - 25. What is the remainder when 27 is divided by q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -841*y**2 - 4582*y - 6241 = 0 for y.\nAnswer: -79\/29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/121022 and 83\/198.\nAnswer: 1089198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7181 or 3905?\nAnswer: 7181","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 21 + -57. Sort -0.2, -4, j.\nAnswer: j, -4, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -3*h. Let q be 14\/7 + -1 + 8. Let r(m) = -m + 15. Let w be r(q). Let t(j) = -w + 21 - 15 + 13*j. Give t(l(b)).\nAnswer: -39*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 14764 + 0 - (-22 + 45)\/(-23) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 25 and 8725.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4877690 is divided by 101?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 3*d + 23 + 0*d + 0*d - d. What is the remainder when 2 is divided by k(-11)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.045 rounded to one decimal place?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/5*(4725\/1100 + 26\/(-429)*9). Solve 0 + 3*z - 18\/5*z**2 + 3\/5*z**i = 0 for z.\nAnswer: 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from apawpowipp. What is prob of sequence wa?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9236 - -10961. Is 23 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6779 greater than -6781?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 159672?\nAnswer: 2, 3, 6653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1133 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2791447, 2791480, 2791513, 2791546?\n\"Answer: 33*l + 2791414","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**2 + s + 3. Let t(i) = i**2 - i - 1. Suppose 42 + 42 = 28*v. What is v*t(h) + r(h)?\nAnswer: 2*h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 2 p when four letters picked without replacement from tyyyyppytptp.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -5*w**2 - 145920*w - 145915 = 0.\nAnswer: -29183, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -162 + 157 - (-1 - 28\/6). Are a and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.5247094nm?\nAnswer: 0.0005247094","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 975, 890, 805, 720, 635, 550?\n\"Answer: -85*l + 1060","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -18 - -25. Suppose -3*m + 7*d + c = 2*d, -m = -d - 1. What is the common denominator of -1*(-15)\/(-6)*m and 9\/11?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/(-34) - (-5681663)\/221 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10483 + 10522. Let h = -0.13 - 0.37. Sort -0.4, h, g, 2\/23.\nAnswer: h, -0.4, 2\/23, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 707*c - 3891*c**2 + 3937*c**2 - 707*c.\nAnswer: 46*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (59 + 16*w + 59 - 117)*(-w**3 + 18*w**3 + w**3).\nAnswer: 288*w**4 + 18*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*w - 3*w - 10*w**2 - 11*w + 17*w.\nAnswer: -10*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 5*w**5 + 15*w**4 - 870*w**3 - 6560*w**2 - 9600*w = 0.\nAnswer: -8, -2, 0, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 526252?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**3 - 9*h**2 - 9*h - 6. Let t be a(10). Find the second derivative of 0*f + 0*f**4 - 9*f**4 - 2*f + 5*f**t wrt f.\nAnswer: -48*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 9*o**2 - o - 25. Calculate k(4).\nAnswer: 115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2\/23, -2, -0.03, 0.09, 0.098?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -19 - -36. Let p = -6 + n. Is 12 less than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l - 1. Suppose 3*q - 4*q = -2. Let n be q\/(-2)*2*(-2)\/4. What is j(n)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 635849971 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -120.724 rounded to the nearest ten?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - 4939 = -4991 for p.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gw when two letters picked without replacement from {t: 3, w: 6, g: 2, x: 2}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p\/p**(2\/5)*p\/(p\/(p*p**13*p)) assuming p is positive.\nAnswer: p**(78\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 700 = 2*v - 5*y, -y = 0. Does 11 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -69*o + 82*o - 2730. Calculate the remainder when 640 is divided by o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -4.02, -175, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*p = -3*w + 57, -p - 7*w + 3*w - 16 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:54 AM and 5:34 AM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -185, -185, -183, -179, -173?\nAnswer: -165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*c + 0*c + 15*c + 4*c - 2*c - 3*c + 14*c - 24*c - 33*c + (1 + 1 + 0)*(3*c - 3*c - 2*c) + 1 + c - 1 to the form w + u*c and give u.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -2*x**3 - 5*x**2 + 5*x - 1. Let q be o(-4). Suppose 0 = -w - q - 53. Let a = -43 - w. What are the prime factors of a?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.2 - 5.8. Which is the nearest to 1? (a) y (b) 0 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 114394.82 to the nearest 10000.\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000042659475 rounded to 6 dps?\nAnswer: -0.000043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -46763304 by -556706.\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.957203 and 6.\nAnswer: 5.743218","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4797635.\nAnswer: 5, 109, 8803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - 3*u + 49 = 70, -j = -5*u - 27 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 232, -1.6, 14.6, 0?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m*m**9\/m)\/m)**(4\/3)*m**(-2\/13)\/m*m**(-2\/21) assuming m is positive.\nAnswer: m**(2935\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 16477*a. Let w(c) = 3*c**2 + 12. Determine q(w(o)).\nAnswer: 49431*o**2 + 197724","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 30422, 30385, 30336, 30269, 30178, 30057?\nAnswer: 29900","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8*((-4464)\/192 - -16).\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i = 5 - 41. What is the smallest common multiple of i and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -998*j = -24726 + 63648 for j.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**2 + 5*y - 5. Let h be n(-6). Let w be 6\/(-9) + 0\/h. Let i = -19221.4 - -19221. Which is the closest to -0.1? (a) 1\/9 (b) w (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/21*1\/5\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -484*s = -m - 489*s + 2, -2*m - 4*s = 8 for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence siss when four letters picked without replacement from {t: 1, s: 4, i: 4, o: 1}.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*o - 40*o + 4418. Which is greater: 1 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 346755459?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 286 (base 16) to base 11\nAnswer: 538","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 19 = -4*a. Let q be (304\/190)\/(8\/(-5) + 2). Suppose 4*b + 36 = q*m, b + 0*b - 5*m + 25 = 0. Sort b, a, 3, 5 in descending order.\nAnswer: 5, 3, a, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 202356 and 84.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10? (a) -10 (b) 3\/2 (c) 12\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17478 is divided by 2492.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -2*t - 19. Let r(i) = -i - 6. Let g(o) = 7*r(o) - 2*x(o). Let z(b) = 9*b + 13. Let a(j) = -7*g(j) - 2*z(j). What is the derivative of a(p) wrt p?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22071108 rounded to the nearest one million?\nAnswer: 22000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 (base 15) in base 5?\nAnswer: 14204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((5*(4*sqrt(440) - sqrt(440)))\/sqrt(8))\/(-4*sqrt(132)\/sqrt(972)))**2.\nAnswer: 91125\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 698731 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 366 = -4*o, -o - o - 3*j + 172 = 0. Suppose o = 5*y + b, -4*y + 75 = -2*b - b. Calculate the remainder when 34 is divided by y.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 6*x**3 - 89*x + 13. Let f(w) = -9*w**3 + 134*w - 19. Calculate -7*f(n) - 10*p(n).\nAnswer: 3*n**3 - 48*n + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**2\/2 + 123267*b\/2 - 123265.\nAnswer: -(b - 123265)*(b - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3.654 or -49?\nAnswer: 3.654","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-210)\/(-7) - (-238)\/(-56)*4?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let 9\/5*q + 1\/5*q**3 + 0 + 6\/5*q**2 = 0. Calculate q.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -29 - -15. Let h = a - -24. What is h rounded to 0 dps?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -158309.98 + 158310. Let g = -0.4 + 5.4. Which is the nearest to y? (a) g (b) 1 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-7) + (-19)\/(-7). Let p be h\/6 + 2\/(-4). Let m be 3\/(-36)*(-6)\/(-4). Which is smaller: p or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 779*t - 13197 - 23550 = 2140*t for t.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2305 + 1330. Let n = 1194 + r. Does 29 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*t + 56 = -11*t. Suppose 0 = -4*o + 4*f + 72, -47 = -3*o - 4*f - t. Suppose o*h - 13*h = 190. Does 34 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -70 (b) -0.1 (c) 22 (d) -12 (e) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -13\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes after 8:53 AM?\nAnswer: 10:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 3 - (-2*16)\/((-12)\/(-606))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**2 + 3*x - 2. Let b be u(2). Suppose b = -i - 3*i + 5*o - 5, -4*o + 4 = 5*i. Solve i*p = -p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 30, -3, 46, -6, 1 in increasing order.\nAnswer: -6, -3, 1, 30, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 547417?\nAnswer: 13, 17, 2477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-35)\/(-150) - (-12)\/(-30)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 237147 or 237630?\nAnswer: 237630","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2.5974 times 0.1\nAnswer: 0.25974","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*v**3 - 5*v**3 + 7*v**3 + (2*v - v - 4*v)*(14*v**2 + 448*v + 29*v**2 - 446*v) in the form d*v**2 + z*v**3 + s + t*v and give z.\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2886253?\nAnswer: 2886253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 33 = -4*b + 5*b, a = b + 21. What is the common denominator of 14 + -2*(-1)\/3 and (-14)\/4*112\/b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10700103 to the power of 1\/2, to the nearest integer?\nAnswer: 3271","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 165 a factor of 296341?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ejjp when four letters picked without replacement from ppjpjejjpep?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/10*4)\/(504\/(-140)). Factor -64\/9*n + f*n**4 + 16\/3*n**2 - 16\/9*n**3 + 32\/9.\nAnswer: 2*(n - 2)**4\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(2178) - sqrt(2178)*1*3)\/((sqrt(9) - (sqrt(1089) + -2*sqrt(1089))) + sqrt(72)\/(sqrt(8) - sqrt(72) - sqrt(8))).\nAnswer: -264*sqrt(2)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-23 + (-633)\/(-27))\/((-3)\/((-108)\/376))?\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((12\/26)\/((-90)\/(-9)))\/(129\/2150)?\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a + 1. Let u = 13 - 7. Let b(w) = 1 + 2 - u + 3*w. Let c(q) = -2*b(q) - 5*f(q). Let l(h) = -3*h + 3. Determine 5*c(y) - 2*l(y).\nAnswer: y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8132408.\nAnswer: 2, 269, 3779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 5)*(16 - 2 + 0)*(71 + 9*i - 71 + (4 + 1 - 6)*(2*i + 2*i - 6*i)).\nAnswer: 308*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u when three letters picked without replacement from ububbu?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2766713 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -7*c**3 - 7*c**2 + 163*c + 2. Calculate i(8).\nAnswer: -2726","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 212318.\nAnswer: 2, 53, 2003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/8 - (71\/(-18) + 4). Let i = -14 + 17. Factor 10\/9*g + 8\/9*g**2 + 2\/9*g**i + w.\nAnswer: 2*(g + 1)**2*(g + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15179 and 525331?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 9*z - 144 = -8*z, 0 = -2*v - 4*z + 134. Is 70 < v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1140107, 1140137, 1140167, 1140197, 1140227?\n\"Answer: 30*z + 1140077","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8838302 + -8838301.4600029. Let o = l + -0.54. Round o to 6 decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 6*b + 4*b - 9179 = 0, -5*b = -4*z + 7350. Let m = z - -1474. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*n, 4*n = -2*l - 0*n + 26. Suppose -5*y - 5 = 5*d, -5*d + l = -y + 2*y. Let z be 1 - y\/(-5) - 0. Which is smaller: z or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 + 1 + -6)*(-5 + -1345). Let o = 4421252\/655 - g. Is o smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 3*q**2 + 9*q - 2. Let l be s(6). Let w(c) = -c**2 + 398*c + 2047. Let b be w(-5). Calculate the greatest common divisor of b and l.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9 and 108.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes before 11:58 PM?\nAnswer: 11:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 2*i**3 - 4138*i**2 + 754748*i + 17693088 = 0.\nAnswer: -21, 226, 1864","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 - 10. Suppose l + 32 = -4*l + h, c = 4*l - 2*h + 28. Let w be -1*(-5)\/((-15)\/l). Solve 4*r - 4 = 0, 5*n = -w*r - 2*r - 11 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 + 0 + (-18)\/(-3). Suppose 3*u - 10 = -k. Solve -u*z - z = 15 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaaahhahhaahahahaahh. What is prob of sequence ahah?\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, v: 1, w: 2, t: 2, a: 1, c: 4}. Give prob of picking 3 c.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 + 0.8. Let l = -16 - -15. Let w = l - -1. Which is the nearest to -1? (a) 5 (b) w (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(70) + ((sqrt(70) - (sqrt(70) + -1*sqrt(70) + sqrt(70))) + sqrt(70) - sqrt(70)))*4)\/(sqrt(10) + sqrt(90)\/sqrt(144)).\nAnswer: 16*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwss when four letters picked without replacement from {n: 2, w: 4, s: 2}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 308 and 1484?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the second derivative of -7*t**6\/360 - t**4\/6 - t**3 - 10*t. Let u(h) be the second derivative of k(h). What is the derivative of u(a) wrt a?\nAnswer: -14*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8868 - 8868 - 187*b)*(-41*b + 13*b**2 + 41*b).\nAnswer: -2431*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = q - 3*q + f, 3*q - 7 = 2*f. Suppose q*a - 36 = 79. Suppose a*c - 44 = 19*c. What is the smallest common multiple of c and 4?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4956589*d**2 + 1226438*d wrt d.\nAnswer: -9913178","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, j: 1, h: 1, r: 1, w: 1}. Give prob of sequence wj.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 87522*d*x*z**3 - 340*d*x + 3*d*z + 4*z**2 - 4*z wrt z?\nAnswer: 525132*d*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -9, 0, 28, 5 in ascending order.\nAnswer: -9, 0, 1, 5, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 150 - 293*u**3 - 6693*u**2 + 268 + 6693*u**2 wrt u?\nAnswer: -879*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -11*v - 5. Let x(d) = 15*d + 7. Let z(o) = -7*n(o) - 5*x(o). Let r(y) = 10*y**2. Calculate z(r(b)).\nAnswer: 20*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, -5, -4 in decreasing order.\nAnswer: 0, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 5 = -0. Let p = 9 - 6. Let t be y + 4\/p - 1. What is the biggest value in -3, t, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -46\/145 and -113\/290?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the third derivative of 2\/3*k**3 - 3*k**2 - 3\/80*k**6 + 0*k + 1\/4*k**5 + 0 - 7\/12*k**4. Find h such that d(h) = 0.\nAnswer: 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 85 and 60?\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kgyy when four letters picked without replacement from {k: 2, g: 7, y: 4}.\nAnswer: 7\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.05 and 16.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.07*-0.032603.\nAnswer: 0.00228221","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 2\/3 (b) 4 (c) 2.4 (d) 5 (e) 0.014 (f) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -2*p. Let b(z) = 3*z. Let j(g) = 1024*g + 17. Let t(y) = 128*y + 2. Let m(c) = 6*j(c) - 51*t(c). Let n(h) = 528*b(h) + 4*m(h). What is n(i(d))?\nAnswer: -96*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 264*l**2 + 51*l + 24*l**2 + 20 + 8*l**3 + 105*l - 72*l**3.\nAnswer: -4*(l - 5)*(4*l + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*h**3*t**4 - 661*h**3*t**2 - h**3 - 34*h + t**3 + 34*t wrt t.\nAnswer: 24*h**3*t**2 - 1322*h**3 + 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 42 = 2*g, -l + 4*g = g - 21. Suppose -l = 5*z - 37. Suppose 55 = -0*a + z*a. What are the prime factors of a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**2 + c. Suppose -16*h = -25*h + 45. Let b(q) = 4*q**2 - 5*q. What is h*f(v) + b(v)?\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -4*d**2 + d. What is o(3)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**3 + 52*q**2 - 2345*q + 314. Calculate s(-81).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 32*m*o - 2621656*m - 68045*o with respect to o.\nAnswer: 32*m - 68045","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the first derivative of -q**4\/10 - 4*q**3\/5 - 12*q**2\/5 - 16*q\/5 + 9. Let b(y) = 0. Calculate y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2904)*-2)\/(sqrt(392) - sqrt(392)*-2).\nAnswer: -22*sqrt(3)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -75 + 75 - 9*y**4 + (-6*y**3 - 7*y**2 + 7*y**2)*(4 - 4 + 3*y) - 3*y - 2*y**4 + 3*y in the form n*y**3 + q*y**2 + v*y + w*y**4 + p and give w.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**2 - 6*l + 1. Let m be d(-6). Let s = -0.2751 - 2.7249. Which is the closest to -0.1? (a) -0.07 (b) m (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ls when two letters picked without replacement from qlqqslsqs.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -o**2\/2 + 1393*o - 1940449\/2 = 0.\nAnswer: 1393","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -4*v + 2*v - v. Let l(n) be the second derivative of -n**4\/4 + n - 62. Determine i(l(r)).\nAnswer: 9*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 - 3. Suppose -4*p = -t*v - 33 + 9, -2*p - 14 = 5*v. Suppose 41 = n + 11. Solve 5*s + 25 = 0, k + 8*s - p*s = -n for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 less than 62895740?\nAnswer: 62895739.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3 - -3)\/(2 + 1) + -5. Suppose 0 = 3*x + 3*d - 24, -9 = x - 4*d + 8. Put 0, t, x in descending order.\nAnswer: x, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 22*c**3. Suppose -4*a + 2*m - 2 = 0, a - 6*a - m + 8 = 0. What is the lowest common multiple of 22 and i(a)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94 = -5*q - 131. Let b = q - -208. What is the remainder when b is divided by 44?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -34 divided by 4934\nAnswer: -17\/2467","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**2 + 3*w + 4. Let o = 16 - 6. Let v = -7 + o. Give z(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 202694, 202688, 202678, 202664, 202646, 202624, 202598?\n\"Answer: -2*m**2 + 202696","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1498831?\nAnswer: 61, 24571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 126*o - 129*o = 12 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 22 = 2*v, -3*v = -3*l - 2*v + 22. What is the remainder when 23 is divided by l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1943?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 10\/(-25) - 36\/10. Let i = b + 11. Suppose 4*m - 302 = 2*x, -3*m + i*m = -3*x + 317. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 540*p - 4. Let j be w(2). Let x be j\/16 - 1\/4. Suppose 115 = 3*o + 5*m, x = 2*o - m + 12. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**3 + 12*l**2 - 12*l. Let o be z(8). Suppose -9*m = -13*m + o. What are the prime factors of m?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -5244\/59785?\nAnswer: -5244\/59785","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 254247?\nAnswer: 3, 7, 12107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12606 and 12177.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 3*v - 13. Suppose 0 = -l - s - 7, 5*s - 19 - 6 = l. Let g = 16 + l. Let n be y(g). Solve 3*u + j + 7 = 4*u, n*u - 4*j = 31 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 s when four letters picked without replacement from {w: 16, s: 4}.\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**3 - 5*v**2 - 3*v + 3. Let s be d(7). Suppose 12*g = 17*g - s. Calculate the remainder when 45 is divided by g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -107.1 - -108.1. Which is the closest to -0.07? (a) -2 (b) 0.2 (c) -2\/13 (d) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11149*q**2 + 11149*q**2 + 947*q**3.\nAnswer: 947*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -20\/7 - -394\/133. Let f = -0.59 + 0.39. Which is the third biggest value? (a) -0.4 (b) -2 (c) f (d) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 10) to base 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -370*t + 1124. Let h be k(3). What is the highest common divisor of 22 and h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6898.69 rounded to the nearest one thousand?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 408430 - 222011. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*j**3 + 2*j**3 + 4*j**3)*(-30225 + 13468 - 1746 - 58128 - 60785 + 20094) in the form l*j**2 + v*j**3 + s + p*j and give v.\nAnswer: -234644","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/102 and ((-88)\/(-2210))\/(-4)*105*(-4)\/24?\nAnswer: 1326","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 466221 and 63.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/(-1*(-2)\/(-4)). Suppose -2*o + 4*u + 58 = 0, 2*o - c*u = -5*u + 30. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14288*u**2 + 20 + 123 + 14282*u**2 + 2*u)*(3*u**2 - 2*u**2 + 0*u**2).\nAnswer: -6*u**4 + 2*u**3 + 143*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g - 2. Let t(w) = -1. Let c(z) = -2*o(z) - 18*t(z). Let n be c(11). Solve -4*s - s - 25 = n for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes before 12:21 AM?\nAnswer: 12:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q + v, 6*q + 5*v = 3*q. Solve 0 = -5*n + 20 - q for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the first derivative of n**2\/2 + n - 18. Let c(w) = -4*w - 3. What is -c(g) - 3*v(g)?\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4421*x + 4739*x + 3971*x + 26 - 26.\nAnswer: 13131*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 9*(3\/36 - 47180\/(-48)). What is the greatest common divisor of 9 and t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 473353586?\nAnswer: 2, 349, 678157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17 - 16.93. Let g = x + -0.069996. Round g to five dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*m**2*p**2 - 20*m**2 - 22*m*p**2 wrt m?\nAnswer: -4*p**2 - 40","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -118 + 118. Solve u = -5*h + 17*h + 36 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -503*r + 759*r = -656*r - 987*r - 115839 for r.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*t**5 + 57*t**4 + 78*t**3 + 42*t**2 + 3*t - 3 = 0.\nAnswer: -1, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/3 + 2382\/558 + -5. Is 6 at most as big as s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 190969672?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -v + 176, p - 55 = 3*v + 2. Let x be -3*((-12)\/p + 6\/(-15)). Let o(i) = -2*i - 34 + 0*i - 2*i**2 + 36 + 2*i**3. Determine o(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 2*q + 18 = 2*x, 0 = 3*q - 9. Suppose 2*o + 16 = x*o. Factor -2*i + 0*i**2 + 0*i**2 - 13*i**3 - 6*i**o - 7*i**2 - 2*i**2.\nAnswer: -i*(i + 1)*(2*i + 1)*(3*i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -21022*c**4 + 160*c**2 wrt c.\nAnswer: -504528*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1424479630 rounded to the nearest one million?\nAnswer: -1424000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -615, -613, -609, -603, -595, -585, -573?\n\"Answer: q**2 - q - 615","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 256279 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h - 2. Let n be p(6). Let r = -2 + n. Suppose 0 = 5*d + r*k - 85, -4*k - 145 + 30 = -5*d. Calculate the remainder when d is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:47 PM and 11:38 PM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 0.07 (b) 3 (c) -1.3 (d) 72\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 56 + -54. Which is the smallest value? (a) -2.7 (b) t (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 989664?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -295760*-1.\nAnswer: 295760","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 716.58 microseconds to minutes.\nAnswer: 0.000011943","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2099 in -3, 0.1, 1\/8?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -718 divided by 6?\nAnswer: -359\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5667 + -5207. Is 27 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3178 in -7, 3, 1\/5, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add together -11 and 57496346368.\nAnswer: 57496346357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5109 and 25350.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 28*m + 10 - 6*m**2 - 26*m + 10 + m**3. Let f be k(5). Let u(s) = 2*s**2 + s - 1. Let p be u(1). Solve 0 = 2*i - p, 5 + 9 = -3*a + f*i for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1021012 - 20221?\nAnswer: -1112010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 6161863049 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/522 and 109\/20358?\nAnswer: 20358","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**3 - 67*m**2 + 256*m - 252.\nAnswer: (m - 63)*(m - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 74\/3 + 8\/(-12). Suppose 4*q + k = r, 0*q + 2*k + 17 = 5*q. Suppose v - 4*n - 10 = 3*v, 2*v = q*n + 17. What is the highest common divisor of v and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 - (-7)\/(-20)) + (-14)\/35. What is the third biggest value in -5, y, 2\/9?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) 8\/5 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/5)\/(56*13\/520).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 46491614 to the nearest integer?\nAnswer: 360","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d**3 + 751276*d**2 - 17277232*d = 0 for d.\nAnswer: 0, 23, 187796","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3645041 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1865*h**3 - 9*h**2 + 2*h - 11 wrt h.\nAnswer: 11190","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -66 + 101. Suppose 0 = -6*c + i + 121. Calculate the remainder when c is divided by 16.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -119\/3342 and -97\/30.\nAnswer: 16710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 - -2. Let g = j + -6. Let x = 0.0358 + -1.0358. Which is the smallest value? (a) g (b) -0.3 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 340 and 99450?\nAnswer: 198900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*((-138)\/2)\/((12\/42)\/((-23)\/483))?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate f**2*t**3 + 48587*f**2*t**2 + 187456*t**3 with respect to f.\nAnswer: 2*f*t**3 + 97174*f*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -22 + 17 - (-2 + 6) - 0.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 180*k - 50*k - 390. Suppose -2*g - 2 = 6, 3*g + 14 = -2*d. Let u be 8 + d\/(-1*1). Solve 0 = k*i + u for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 + 9679279050.5167.\nAnswer: 9679279051.5167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fzfzafffzfhzfhfa. Give prob of sequence zh.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/66 and -45\/22.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qx when two letters picked without replacement from {a: 1, p: 4, l: 1, i: 3, x: 2, q: 1}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -341866.182356 less than 152?\nAnswer: 342018.182356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 19\/2*f - 19\/2*f**3 - 17\/2*f**2 - 1\/2*f**4 + 9.\nAnswer: -(f - 1)*(f + 1)**2*(f + 18)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 354060 and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -2*k + 6*k. Let x = k - 3. Let a be (-1)\/3 + (-2)\/(-6). Solve x = 2*w - 2*p + 20, 5*p - 15 = -2*w - a*p for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 54 + -53. Calculate the lowest common multiple of 2 and r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 263 is divided by 30.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 50752654*h**4 - 247*h**2 + 44297 wrt h?\nAnswer: 1218063696*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14 + -16. Let z be 100\/16 + i\/8. Solve -z*o + o = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**3 + 5*g**2 + 6*g + 2. Let u be c(6). Let j(x) = 2*x**2 + x + 3*x**u - 1 - 2*x**2. Let t = -3 + 4. What is j(t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25 - ((-156)\/130)\/(52\/1085)\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 422874.848 and 10.9.\nAnswer: 422885.748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, q: 1, x: 2, m: 3, u: 6}. What is prob of picking 1 m and 1 q?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/(-2) + 4\/(-40)*-235. Solve 12*i - 10 = -t for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -6, -14, -38, -84, -158?\n\"Answer: -k**3 - 2*k**2 + 5*k - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8\/(-20) + (-224)\/(-10). Let p be s\/(-26) - (3 - 4). Which is the closest to 2\/5? (a) p (b) -0.5 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 7 - 2*y)*(-6 + 3 + 1) - 1 + 1 - y + 75*y - 32 + 36*y - 105*y.\nAnswer: 9*y - 32","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**2 + 11*d + 11. Let m be n(12). Is -1 <= m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 338636*j*x**3 - 18080*j + 4*x**2 - 68*x wrt x?\nAnswer: 2031816*j*x + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**6)\/q**(-1\/9))\/(q**5)**(-1\/32) assuming q is positive.\nAnswer: q**(2093\/288)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 130*d - 637*d + 122*d + 130*d + 122*d + 138*d.\nAnswer: 5*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 + -1 - (1 - 22). Let p be (-21)\/(-196)*4 + (-316)\/(-14). Let z = p - h. Solve s = -3 + z for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - r = 3*q - 12, 4*r - 18 = -3*q. Suppose -2*a + 104 = q*a. Calculate the remainder when a is divided by (-1)\/3 - 28\/(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dppppfdc. What is prob of picking 1 c, 1 p, and 1 f?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the second derivative of t**3\/2 - t**2 + 5*t. What is z(-3)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 - 4 = 2*n. Let i = -326 + 327. Let z(l) = l**3 - l**2 - l. Let w be z(2). Put -6, n, w, i in decreasing order.\nAnswer: n, w, i, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (154\/(-36))\/(60\/(-360)) - 15\/9?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 5*z**3 + 0 - 5*z**2 - 1 + 3*z**2 + z**2. Is k(2) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -1385*x**2 + 19000*x - 18880. Let f(w) = 151*w**2 - 2111*w + 2098. Let j(c) = -55*f(c) - 6*i(c). Factor j(g).\nAnswer: 5*(g - 1)*(g + 422)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2711*m - 447 = 2860*m. Sort 9, m, 0, 5 in decreasing order.\nAnswer: 9, 5, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 5*s = 31, 0*w - 2*w + s = -1. Suppose 0 = o + w*o + r - 36, -9 = -o - r. Is (-264)\/16*(-114)\/o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-2 + 3*(sqrt(3267) + -1 - sqrt(3267)) + (-5*(sqrt(27) + 0 - sqrt(27))*6 + -1)**2).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3434703253 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 84020 to the nearest integer?\nAnswer: 290","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -21 + 228. Suppose -135 - j = -3*t. List the prime factors of t.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 363651.3l?\nAnswer: 363651300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -649, -56, 1903, 5912, 12655?\nAnswer: 22816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -9929, -9941, -9953, -9965, -9977, -9989?\n\"Answer: -12*j - 9917","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -2 + (2*1*sqrt(11) + sqrt(22)\/(sqrt(2) + -2*sqrt(2)) - (-4 + (sqrt(77)\/sqrt(63))**2)).\nAnswer: -2\/9 + sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 6956770 + 350540 = 0. Let m be (y\/(-6))\/((-6)\/(-18)). Let o = m + 1350623. What is o rounded to the nearest 100000?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12 + -2012113211?\nAnswer: -2012113223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -8770.75 rounded to the nearest one hundred?\nAnswer: -8800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -11a9 - 60?\nAnswer: -1259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-12) - (-10)\/(-15). Let z = -140 - -279\/2. What is the closest to z in 2, 0.1, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*t**3 - 429*t**2 + 4062*t - 2520.\nAnswer: 3*(t - 35)*(t - 12)*(3*t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 4*v**3\/3 - 8*v**2 - 100*v\/3 - 24 = 0?\nAnswer: -2, -1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tqtqtthhxqnqqhqtt. What is prob of sequence hx?\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 7 - 1 + 1 - 4 + 1 + (3 - 1 - 1)*(-3 + 4 - 2))*(571*k + 84*k**2 - 571*k) to t*k**2 + s*k + z and give t.\nAnswer: -756","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10 - 4. Suppose b = -3 + z. Calculate the remainder when 8 is divided by b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c + 6. What is the smallest common multiple of m(4) and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j**4 + 2*j**4 - j**4)*(2*j - 4*j + j) - 80*j**4 + 0*j**5 + 5*j**5 + 81*j**4 + (2 - 5 + 5)*(-j**5 + 3*j**5 - 4*j**5).\nAnswer: -j**5 + j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 120 and 22.94?\nAnswer: 2752.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 499361485 to the nearest integer?\nAnswer: 793","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3246277 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -0*j - 20. Let t = j - -6. Suppose f + 0*f - 3*g = 0, 4*g = 5*f - 11. Solve -t*r + m - f = 0, -5*r + 5*m - 3 = 2 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**2 - 10*r + 15. Let l be p(-11). Solve -3*a = -a - l for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 55 - 52. Let u = 10.8 - 2.4. Let n = 8 - u. Which is the smallest value? (a) f (b) -1\/5 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -812773, -814609, -816447, -818287?\nAnswer: -820129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 163 = -3*z + 4*s, -5*z + 275 = -5*s. Suppose 2*g - 2 = 5*b, 2*b + 20 = 3*g + 6. What is the remainder when z is divided by g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -3\/5 (b) 2\/17 (c) 2\/5 (d) 0.045\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:57 AM and 12:48 PM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8 - 2 + 42)*(0*l + 0*l + l) as c + n*l and give n.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12562 + 24823. What is the ten thousands digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 - -141. Let w = o - 927\/7. What is the nearest to 2\/7 in 2\/3, w, 5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zoo when three letters picked without replacement from ozozzbbooboobzz.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62 is divided by 42.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/11? (a) -2\/11 (b) -5\/7 (c) -72\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -8 + -3b56?\nAnswer: -3b5e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.01 and -16568185.\nAnswer: 165681.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 1 = y, 3*v + 2*y - 534 = 0. Let q = 183 - v. Solve -2*m - q*a - 7 = 0, 3*a = -2*m - 2*m - 17 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -150\/11, 13\/2, -1, -5, -4 in ascending order.\nAnswer: -150\/11, -5, -4, -1, 13\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 168*h + 14458. What is c(-86)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.2519 - 0.1519. Let n be 0 + (-3)\/3 + 2. Which is the nearest to h? (a) 1\/6 (b) n (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 20850*p**3*z**2 + 34*p**3*z - 2*p**2*z**2 - 1703*p*z**2 - 7474452*z wrt z?\nAnswer: 41700*p**3 - 4*p**2 - 3406*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q = 3*w - 6, 31*q = 34*q for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(252)\/(sqrt(60)\/sqrt(5)))\/(sqrt(448)*-3).\nAnswer: -sqrt(3)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*h**4\/11 - 12220*h**3\/11 - 165422*h**2\/11 - 316592*h\/11 - 69000\/11 = 0. What is h?\nAnswer: -750, -23\/2, -2, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y - 8*y + 306. Let r = 92 - y. What is the remainder when 156 is divided by r?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 35278 + -22697. Calculate the highest common divisor of n and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 2*f. Let h(z) be the third derivative of -z**4\/8 - z**3\/6 - z**2. Let j = 84 - 90. Let u be j*(3 - (-7)\/(-3)). Give u*b(p) - 3*h(p).\nAnswer: p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - 11 = 41462*g - 41460*g, -g + b + 23 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/27 - 364\/(-18). Let w = -18 + l. What is the third derivative of -2*x**2 + x**2 + w*x**2 + x**2 - 2*x**4 wrt x?\nAnswer: -48*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and -663586.7?\nAnswer: 663586.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.521914 + -0.040774. Let z = 0.48 - x. Round z to 4 dps.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*g**2 - 215*g + 410.\nAnswer: 5*(g - 41)*(g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -3) + -4 + (0 - -5).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -5*o**2 + 20*o - 2. Let x(j) = -j**2 + 4*j + 1. Let t(s) = c(s) - 6*x(s). Let y = -32 - -38. Suppose 0 = -y*z + 4*z + 12. Calculate t(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-25)\/(-10)*(18 + (-84)\/10)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24*d - 147 + 147)*(-1 + 1 - 2).\nAnswer: -48*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3 - 1)\/(8\/(-12)). Let f(m) = -2*m**3 - 6*m**2 - 3. Let a(o) = -5*o**3 - 12*o**2 - 5. Let n = 92 - 85. Let l(c) = n*f(c) - 3*a(c). Calculate l(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -331144111 (base 5) to base 14.\nAnswer: -2925c3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10 and 250?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2041519 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -54 - -15553290.1913.\nAnswer: 15553236.1913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y - 4*c - 7986, 15972 = 346*y - 342*y - 4*c. What is the hundreds digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 667 - 2013. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the second derivative of -a**5\/5 - a**3\/2 + a**2 - 2*a. Let x(b) = -13*b**3 - 1 + 14*b**3 + 0. Give -p(r) - 2*x(r).\nAnswer: 2*r**3 + 3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cch when three letters picked without replacement from {c: 3, h: 9}.\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-1)*2)\/(43\/(-86)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 16 - 1 = -5*d, 2*d + 3*f + 19 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-2))\/((-710)\/852).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 120?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 85590?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.07 + 0.13. Let h = 1.8 + 0.2. Which is the second biggest value? (a) 0 (b) u (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-18403)\/220*-5)\/((-142)\/48 + 3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(2448) + (sqrt(2448) + 0)*-4 - -5*(sqrt(2448) + sqrt(2448)*-1 - sqrt(2448)) - -1*(sqrt(2448) + sqrt(2448) + (sqrt(2448) - 2*sqrt(2448)*3))).\nAnswer: -132*sqrt(17) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/5, -0.08, -2, 4, -17?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2894, 2895, 2898, 2903, 2910, 2919, 2930?\nAnswer: 2943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-86800)\/3150 - (-28)\/1?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -17*s**3 - 4*s**2 + 2*s + 4. Let m be b(-3). Let j = m + -4634\/11. Find the common denominator of j and -27\/10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f + 6*f - 8. Find the second derivative of -16 - 5*n**2 + 16 + f*n - n**2 wrt n.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -7707, 4, -249 in increasing order.\nAnswer: -7707, -249, -9, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i = -5*g + 261 - 231, -2*i + 4*g - 22 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 - 10\/(-8) - (-7961)\/76. Let i = t - -165. Is 45 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 142*n**2 - 27*n**3 - n**5 - 17*n**6 + 3*n**5 - 38*n**6 + 27*n**3 wrt n?\nAnswer: -6600*n**3 + 120*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 58 and 6902.\nAnswer: 6902","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -3*y - 50. Let t be l(-12). Let c(a) = 8*a**2 + 5*a. Let x(h) = -h**2 - h. Let m(k) = t*x(k) - 2*c(k). Let r(g) = -g - 1. Calculate -m(w) - 2*r(w).\nAnswer: 2*w**2 - 2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*c**3 - 4*c**3 - 2*c**3)*(0 - 2 - 21*c + 25*c).\nAnswer: -8*c**4 + 4*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the first derivative of q**4\/4 + 14*q**3\/3 - 8*q**2 - 13*q - 20. Let f be l(-15). Let k(p) = p**2 + p - 6*p + 2*p**2 + p**3 + f*p. What is k(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15*10\/360*(-2)\/(-5)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -542 - -546. Is z <= 0.11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(90)\/sqrt(2))\/sqrt(9) + -6*sqrt(30)\/sqrt(6).\nAnswer: -5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*v + 71*v = -80*v - 2895 for v.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 - 5*s + (-2 + 1 + 0)*(-2 + 2 + 2*s).\nAnswer: -7*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.3 or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.12 - -0.82. Let y = n + 2.3. Which is greater: y or 1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 2*q + 4 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.451398ng in kilograms?\nAnswer: 0.000000000000451398","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 57, -2, 540 in decreasing order.\nAnswer: 540, 57, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cjxj when four letters picked without replacement from {x: 5, b: 1, j: 2, c: 1}?\nAnswer: 5\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 47\/6 + -28\/3. Let i be -2*(2 + -1)*-1. Which is the closest to 0? (a) k (b) -0.4 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 2*s - 48 = 0. Let z be -1*(7 - 4 - 5). Suppose z*d - s = -0*d + 5*t, t - 24 = -4*d. Solve -4*g - 2*p + d = 0, 3*g + 4 - 5 = 2*p for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 2*u - 1. Let j be x(2). Suppose 103 = 355*m - 2737. Solve -2*l + m - 1 = s, j*s + 23 = 5*l for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a = -4*p - 1, -5*p - 25 = 33*a - 32*a for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from {j: 2, f: 1, l: 1, d: 6, q: 5, m: 1}.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.85 + 21.15. Let h = 16.9 - -1.1. Let i = h - c. What is the biggest value in i, 8, 2\/13?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17532 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times 2.82?\nAnswer: -11.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 - -4553206?\nAnswer: 4553201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3442 + -2561635?\nAnswer: -2565410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3.9 + -0.1. What is the nearest to -1\/2 in -1\/4, 2, f?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2c6dec (base 16) to base 13\nAnswer: -7ac41a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 j when two letters picked without replacement from uzmuhzjhvuhmvuuj?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5234323 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -18 - -18. Solve -3*h = 5*c - f*c + 12, 12 = -4*c for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1651, 1652, 1653, 1654?\n\"Answer: v + 1650","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 191802649 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -100 - -1. Let w = l + 98.922. Let h = -4.078 - w. What is the second biggest value in -8, -4\/9, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.19 + -1.237?\nAnswer: -1.427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61*f + 62*f + 16 - 7 - 9.\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 0*m = 3*m + 17, 0 = 5*l - 2*m - 13. Let i = -123 + 184. What is the greatest common divisor of l and i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**2 + 2. Let s(d) = d**3 + 2*d**2 - 5*d - 3. Calculate the remainder when s(-3) is divided by z(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14 - -98. Let r = 88 - w. Calculate the remainder when 21*3 + (-16)\/r + 4 is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -463 = -18*h - 535. Let w(n) = n - 1. Suppose -2*v + 3*f + 18 = 0, f + 6 = -5*v + 17. Let z(c) = -2*c - 2. Let q(k) = v*w(k) + z(k). Determine q(h).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.6744 - 35.9556. Let h = z + 37. What is h rounded to 1 dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pkvgztvgp. Give prob of sequence vpp.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 0*u**3 - u**3 - u**2 + 9*u**2 + 9*u + 3. Let v be b(9). Let j(n) = 0*n + 3*n**3 - 2*n**3 + v*n - 3*n**2. Give j(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-4)\/(-6))\/((-21)\/(-18)). Is 0.3 <= y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.03363 times 167\nAnswer: -5.61621","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 502645523 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/(-21) - 64\/(-168)*-18.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-8\/3)\/f*f*f**(-2\/47)*f*((f**6\/f)\/f)**49 assuming f is positive.\nAnswer: f**(27395\/141)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + 8*z + 18 = 4*a, 0 = -a - 370*z + 375*z + 13 for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1049*f + 364*f = 16412 + 31630 for f.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -26*d - 1. Let a = 11 - 2. Let o = a + -18. Is w(o) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 168515?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 376 - 376. Suppose 3*c - 9*m + 12*m = 201, y = c + 5*m - 55. What is the remainder when c is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*t**2 - 3*t**2 - 8*t + 904*t**3 - 44*t - 1531*t**3 wrt t.\nAnswer: -3762*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-412)\/(-34) - 48\/22032*54\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1980?\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -21 + 29. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**2 - 13*s - 294. Calculate m(25).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -183472144, -183472142, -183472140, -183472138?\n\"Answer: 2*b - 183472146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6 - 2*k**5 - 6 + (0*k**2 - 2*k**5 + 0*k**2)*(3 + 4 - 5) + 9*k + 68*k**4 + k**5 - 68*k**4.\nAnswer: -5*k**5 + 9*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 109333 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 114 - -3?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 3*w + w**2 - 2*w + 4 - 3 - 3. List the prime factors of z(3).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*s**3 - 2860*s**2 - 5597100*s.\nAnswer: 5*s*(s - 1382)*(s + 810)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5136617, 10273242, 15409867, 20546492, 25683117?\nAnswer: 30819742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.11 - -1.31. Let v be -2 + (170\/126 - 2\/(-9)). Which is the third biggest value? (a) v (b) r (c) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, 0.1, 312, -5, -1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**3 + 8*l**2 + 3*l - 65. Let q be m(6). Solve -18*i = -q*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6036118 divided by -638\nAnswer: 9461","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -3*h**3 + 2*h**2 - 1. Let q be m(-1). Suppose 39 - 15 = q*w. Let z be 26\/(-8) - w\/(-24). What is the third smallest value in 0.02, z, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the third derivative of -183*d**8\/56 + d**6\/120 - 161*d**5\/20 + d**3\/6 - 3*d**2 - 229. Find the third derivative of p(j) wrt j.\nAnswer: -65880*j**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2\/13)\/v)**6\/((v*v*(v\/v**(-19)*v)\/v*v*v*v)\/(v\/(v*v**14))) assuming v is positive.\nAnswer: v**(-597\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(175)*-1)**2*5.\nAnswer: 875","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 433060117 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 689621042?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 140 and 200.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 2*k**2 + k - 1. Suppose 71*x + 19*x - 2217 = 2283. Let s(j) = -12*j + 5. Let b be s(-4). Let g = b - x. Determine n(g).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k - 1 + 1)*(6 - 1 + 0)*(-4 + 4 - 1).\nAnswer: 5*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-51)\/(-20) + 23226\/210 + -113?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -407, -1603, -3605, -6419, -10051?\n\"Answer: -n**3 - 397*n**2 + 2*n - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/7*(-5250)\/250.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 318 = -p. Let f be (0 - 1)\/((-1)\/(-10)). Calculate the least common multiple of 6 and f\/(-25) - p\/10.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 105966?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 6443?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (-3 + -4*(-2*sqrt(200) + sqrt(200))*1)*3)**2.\nAnswer: -2640*sqrt(2) + 28921","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/975 and -53\/5.\nAnswer: 975","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 243371 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 649122 to the nearest integer?\nAnswer: 806","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 6 + 3)*(-1016 + 377 + 416)*(31*s**3 - 35*s**3 + 20*s**3) as t*s**3 + m + u*s + z*s**2 and give t.\nAnswer: 3568","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 5 (b) 2 (c) -2 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 2*n = -18, -4*n - 6 = -t + 9. Let x = 2081\/112 + -231\/16. Find the common denominator of 48\/(-45) - 1\/t and x.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 149*f = 89*f + 19200. What is the remainder when f is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-29)\/(-9) - 2\/9)*(-1630)\/(-978). Find b, given that 2\/5 + 4*b**3 + 2*b**4 + 4*b**2 + 2\/5*b**d + 2*b = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 - 1. Is r\/(-5) - (-872)\/10 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + 4*y = -18, -19*m + 3*y = -16*m - 3 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide (-2)\/9 + (-31452290)\/(-2790)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -369, -316, -181, 78, 503, 1136, 2019, 3194?\n\"Answer: 7*x**3 - x**2 + 7*x - 382","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l - 4. Let h be a(2). Let c be -3*(h - (-1 + -2)). Does 3 divide c\/(-1 + (-2)\/(-4))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -586 - -676. Calculate the greatest common divisor of 450 and b.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16876174 a multiple of 99?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 187010 is divided by 347.\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1446)\/(-964)*8\/(-114)?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2\/3652255 - 346967549\/6070047810. What is the common denominator of -8\/3047 and c?\nAnswer: 18282","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + -1 - 5) + 3 - 7?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 101 + -705\/7. Is -3 less than or equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.36315*-0.002.\nAnswer: -0.0007263","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a centimeter in micrometers?\nAnswer: 1000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2224863, 4449723, 6674581, 8899437?\nAnswer: 11124291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 34 - (2 + (34 - 18))\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111 (base 5) to base 12.\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:11 PM and 11:18 PM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/7 + 912\/(-133).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-753)\/(-4))\/(27\/72) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 51 + -6550?\nAnswer: -6477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 3)*(-3*x**4 + 4*x**4 - 3*x**4) + x**4 + x**4 - 5*x**4.\nAnswer: -x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -182.5*1.3607.\nAnswer: -248.32775","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 divided by 292?\nAnswer: 7\/292","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 20184 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: b\"What is the kth term of -293, -582, -869, -1154?\n\"Answer: k**2 - 292*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 1274*a**2 - 253*a - 54. Let w(d) = 364*d**2 - 72*d - 15. What is 5*n(m) - 18*w(m)?\nAnswer: -182*m**2 + 31*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -35) + 45 + (-45 - 1).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and 22.5?\nAnswer: 67.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -20\/219 and -31\/2044.\nAnswer: 6132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the second derivative of 0 + 1\/3*m**3 + 2*m + 0*m**2 + 1\/6*m**4. What is the second derivative of x(t) wrt t?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*k - 8*k = -11*v - 5*v + 37, -2*v - v + 2*k = -4 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.156 - -0.226. Let h = a - 0.07. Let u = -88\/5 - -18. What is the second smallest value in u, -0.3, h?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2303, 1884, 1161, 134, -1197, -2832?\nAnswer: -4771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 4*v + 120 = -2*l, 20 = 4*l. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -155*t - 383 = -1003 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - 25 + 9. Factor 15*z**2 + 2*z**o + 8*z**3 - 28*z**3 + 3*z**4.\nAnswer: 5*z**2*(z - 3)*(z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -14042548*w - 63637480 wrt w.\nAnswer: -14042548","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1869, 15002, 50639, 120036, 234449, 405134?\n\"Answer: 1876*z**3 - 4*z**2 + 13*z - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -245 bigger than 6.8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 8*b + 18. Sort -3, 5, b in descending order.\nAnswer: 5, b, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8ae16 (base 16) in base 9?\nAnswer: 1056280","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 479234 and 36?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 2 = 0, 2*m - 195 = -x - 78. What is the lowest common multiple of x and 15?\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3659 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 444 - -4?\nAnswer: 452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 35*f - 1. Let z be s(1). Suppose 429 = q - 4*h, -4*q + 1696 = 21*h - 17*h. What is the greatest common divisor of q and z?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 + 1 + -2 + (-37 - -13) + 27.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 131 - (-15)\/((-270)\/936)?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3303 + -1963. What is the common denominator of (188\/(-264))\/((-1)\/3) and ((-6)\/(-15))\/(144\/a)?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -514 - 5?\nAnswer: -522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 200897?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 619487?\nAnswer: 11, 199, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 94490?\nAnswer: 2, 5, 11, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6933 (base 10) to base 2.\nAnswer: -1101100010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + y = 4. Let l be (1 + y)*1\/(-3). Suppose 4*n - 165 - 71 = l. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -2*q**2 - 25*q - 11*q - 22 + 12*q**2 + 0 - 80*q. What is the hundreds digit of h(17)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1282? (a) -0.1 (b) -5 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 314*b + 20*b + 2 - 55*b.\nAnswer: 279*b + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-6*((sqrt(175)*-1 - sqrt(175)) + sqrt(175) + 4) - 5*1*sqrt(175)*6) + -1)**2.\nAnswer: 52560*sqrt(7) + 912529","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -2*44\/3*(-684)\/96?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 22287?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -2*j. Let o(b) = 8*b**2 + 4. Let n(v) be the first derivative of -v**3\/3 - v + 2. Let w(y) = -4*n(y) - o(y). Calculate k(w(p)).\nAnswer: 8*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 251*w**3 - 2*w**2 - 4*w - 3. Let z be h(-1). Let r(q) = -371*q + 1. Let l be r(1). Let y = z - l. Calculate the remainder when y is divided by 31.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-eight thirds of a week in minutes?\nAnswer: 94080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -53092441 and 5.\nAnswer: -265462205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iijijjiiiijjjjijijii. What is prob of sequence jji?\nAnswer: 11\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, e: 3, r: 1, s: 4, a: 2, m: 1}. What is prob of picking 1 e and 1 s?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + 7*g = -8 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01092518 to four decimal places.\nAnswer: -0.0109","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -39.6673006 rounded to the nearest integer?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2135307 by -8.\nAnswer: -2135307\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 107424.5um in millimeters?\nAnswer: 107.4245","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10*h**5 - 6*h**5 - 8*h**5 + (4*h**4 - 2*h**4 + 0*h**4)*(-2*h - 2*h + 2*h) + h**4 - 152*h**5 + 56*h**5 - h**4 + 405*h**5.\nAnswer: 281*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -94.0003735 + 94. What is x rounded to five dps?\nAnswer: -0.00037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 + -663?\nAnswer: -666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1030529 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -5\/3, 1, -1\/4, 52, -1\/6, -0.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 4*u**2 + 2*u - 2. Let n be s(-2). Suppose -5*p + n*p - 25 = 0. Let h(d) = 2*d - 4. What is h(p)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the first derivative of -14*n**3\/3 + 8*n + 185. Let j(p) = p**2 - 1. What is -a(o) - 10*j(o)?\nAnswer: 4*o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 937629, 937678, 937737, 937812, 937909?\nAnswer: 938034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 3*g = -41, 2*s - s = -3*g + 43. Let u(d) = 44*d**2. Let n(o) = -8*o**2. Calculate s*n(v) + 5*u(v).\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:39 PM and 5:48 PM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 4*n + 30 = 4*d, 2*d = -5*n + 29. Let x be -1 + 18 - (-6)\/d. Let l be (-1632)\/(-80) + (-2)\/5. What is the highest common divisor of l and x?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-17)\/14 - (-6)\/(-21). What is the second biggest value in -1, h, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 312737 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 0 = 48. What are the prime factors of 36\/r*20\/3?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*c*r*t*v + 2*c*r*t + 9*c*r*v**3 - 2*c*t*v**2 + 15*c*v**3 + 2*t*v**3 + t*v**2 with respect to r.\nAnswer: -4*c*t*v + 2*c*t + 9*c*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 2*k - 6*k + 5*k - 48 + 12*k. Calculate the lowest common multiple of i(4) and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14255 is divided by 6880.\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -138*q + 10. Let w(s) = 598*s + 204. Let a(z) = 46*z + 15. Let n(k) = 27*a(k) - 2*w(k). What is -3*g(t) - 10*n(t)?\nAnswer: -46*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3565984701?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 62581 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-253)\/14 + 513\/342*-4*(-12)\/1008.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the second derivative of 241*f**4\/6 + 212*f - 2. Let u(i) = 2*i**2. Give u(b(c)).\nAnswer: 464648*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -7 - (-7 - -3 - 0 - 2)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -6 - 6 - l**2 + 0*l + 9*l**3 - 7*l. Let f(a) = 3 + 4*a + 0*a - 4*a**3 + 3. Let p(o) = 7*f(o) + 3*g(o). Give p(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (-19 - (-17 - -3)) + 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 228929 + -228958. Let l be (6\/21)\/(6\/14). What is the nearest to 0 in l, -1\/10, o?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*g + 3*z - 16 = -14*g, z = 4. Let b(f) = f**2 + f + 1. Let c = -3 + 4. Let m(p) = -3 - 3*p - 6*p**2 - 1 + c. Calculate g*m(q) - 3*b(q).\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:43 PM and 6:25 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 2*x - 2 + 23*x**2 - 166*x**3 + 168*x**3 as j*x + s*x**2 + h*x**3 + q and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 + 5. Suppose 0 = d - t - j, 3*t + 62 = 5*d + 9. Let v be (-6)\/d + 9*22\/(-70). Is -2 at most v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3 - (0 + 21)\/(61\/(-183)) is divided by 57.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 3, 4, -98320 in descending order.\nAnswer: 8, 4, 3, -98320","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/17, 1, 0.06002?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the second derivative of -4*t**7\/7 - 5*t**4\/4 + 12*t. What is the third derivative of i(n) wrt n?\nAnswer: -1440*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 272 a factor of 129643?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 24056670 and 660?\nAnswer: 48113340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*b + 194 = 34. Let c = 3 - 2. Let z = b + c. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -65 + 115. Let b = j + -35. Suppose 0 = 4*l - 121 - 55. What is the remainder when l is divided by b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.051 + -0.149. Let b = 5 - 8. What is the third smallest value in 1\/7, b, l, 8\/5?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -11872025, -23744047, -35616063, -47488073?\n\"Answer: 3*f**2 - 11872031*f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:45 PM and 3:09 AM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8077404 or -8077397?\nAnswer: -8077404","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2647520197.097101 - 2647518828. Let l = o + -1368.92. Let z = -0.177 + l. Round z to five decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*x + 3*i, 0*x + 4*i = -2*x + 12. Suppose 2*b - 1683985 = -3*f, -x*b + 6*b = -2*f + 3367990. Round b to the nearest one hundred thousand.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4*-64160.4\nAnswer: 256641.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -376*j**2*s - 26355046*j**2*z - 2*j**2 + 408866*j*s*z + 3*j*z - 2*j - s*z + 1 wrt s?\nAnswer: -376*j**2 + 408866*j*z - z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 75075887.2 to the nearest 100000.\nAnswer: 75100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the first derivative of l**5\/20 - l**4\/6 + l**3\/2 + l**2\/2 + 2. Let y(o) be the second derivative of s(o). Is y(4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(2\/11)*z**(3\/11))**(6\/13)*(z**(-1\/4)\/z**(2\/19))**(1\/5) assuming z is positive.\nAnswer: z**(7539\/54340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 4*o**2 - 36*o. Let m be q(10). What is the greatest common divisor of m and 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (378 + -381)*(-4)\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.2 - 3.8. Suppose 0 = 3*y - 3, 2*r = y - 4*y + 27. Suppose r = 2*p + 2. What is the nearest to -0.1 in p, -1, i?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (126\/300*5\/2)\/(3\/4).\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2342\/1725 - -56\/345. Let n = q - -7\/25. Which is smaller: 3 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20 + -10 + -37 + 43\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 119660?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 15 (base 9) to base 15\nAnswer: e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12042 divided by 3.\nAnswer: 4014","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 6985822*0.3\nAnswer: 2095746.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-72)*(-2457)\/546.\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:45 PM and 10:51 PM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 61 + 9. Let v(m) = 2*m**3 + 2*m**2 - 2*m - 2. What is the remainder when n is divided by v(2)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.02 + 0.02. Let o = 10 - 10.4. Let f = 993 - 992.9. What is the closest to -7 in o, f, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 143 = -0*g + 2*g, 0 = 4*g + 2*k - 226. Calculate the remainder when g is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in thirteen eighths of a kilometer?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-3 + 1 + sqrt(162))**2*2.\nAnswer: -72*sqrt(2) + 330","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15445, -15443, -15441, -15439, -15437?\nAnswer: -15435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -2*v**3 + 14*v**2 - v + 8. Let b be x(7). Suppose m - 1 = a, -5*m + b = a - 5*a. Is a < -45\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**2 - 3*d - 5. Let k(t) = -3*t**2 - 6*t - 11. Let f(r) = 7*b(r) - 3*k(r). Let v = -5 + 7. What is the smallest common multiple of v and f(3)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -8, -25, -76, -179, -352, -613?\n\"Answer: -3*j**3 + j**2 + j - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 425864?\nAnswer: 2, 53233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 65640343?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(2\/11))\/(r\/((r\/(r**(-1\/9)*r)*r*r)\/r))*(r**(-1\/2))**(-40)*((r*r\/(((r**2*r)\/r)\/r))\/r)**(5\/6)\/(r**(-1\/5)*r*r)**18 assuming r is positive.\nAnswer: r**(-5678\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 - -1)\/(1\/5). Let a(i) = 3*i**3 + 2*i**2 - 14*i + 2. Let j(o) = o**3 - o**2 - 2*o. Let r(b) = -a(b) + 4*j(b). What is r(m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -39 times -0.23909\nAnswer: 9.32451","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes before 7:36 PM?\nAnswer: 6:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the first derivative of -5*x**3\/3 + 5*x**2 - 5*x - 18. Find n, given that v(n) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1252253554 is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-573012)\/(-55) + (-6)\/(-10)?\nAnswer: 3, 23, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6783556?\nAnswer: 2, 13, 191, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.0639 + -0.0639. What is the smallest value in 0, 1\/11, 14, u?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*n - 257 + 785 = 0. Calculate the remainder when 164 is divided by n.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9632.6 rounded to the nearest 1000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1050) - -5*sqrt(1050) - sqrt(1050))\/sqrt(6) + 3*sqrt(2016)\/sqrt(8).\nAnswer: 43*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 68.1542694 microseconds in weeks?\nAnswer: 0.0000000001126889375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -56, -55, -54, -53?\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 9}. What is prob of sequence kkk?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3709 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(3\/5)\/r**(-12))\/(r**(1\/2)\/r**(-1\/4)) assuming r is positive.\nAnswer: r**(237\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*r - 6 = -13*r - a, a = 6*r - 12. Factor 8\/3*t + 2 + 2\/3*t**r.\nAnswer: 2*(t + 1)*(t + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -75*v - 5. Let y be u(-4). Suppose 13*h + 780 = 2275. Let o = y - h. What is the tens digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/8? (a) -2\/149 (b) -0.17 (c) -0.2 (d) 1 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**2 - a - 2. Let h be z(2). Suppose 3*k - 10 = -1. Suppose -k*n = -h*n. Do 3\/4 and n have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-5 + -9 + 3)\/(-1). Suppose w*m = -9 + 20. What is the remainder when 3 is divided by m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 2*o**3 + 148*o**2 - 155*o - 45. What is the least common multiple of i(-75) and 660?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1552*-1709.\nAnswer: -265.2368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -3*y - 9. Let h be d(-3). Suppose -141 = -h*v - 3*v. What are the prime factors of v?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 r when two letters picked without replacement from uuuuxuxxr.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a tonne in grams?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = 4*s + 5 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1439 + -69. What is the hundreds digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 742, 1505, 2288, 3091, 3914?\nAnswer: 4757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 26 + -1199519?\nAnswer: -1199493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 347 is divided by 108.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**2 + 36*s + 194. What is the lowest common multiple of 444 and r(-30)?\nAnswer: 3108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 66 - 70. Let n = -0.9 + 1. Let s = -0.1 + n. Is m greater than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 41 = -5*z - 3*b, -5*z = 3*b - 229. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 27625004 and 1023.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -33231 by -3.\nAnswer: 11077","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -20 - 11202?\nAnswer: -11222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the first derivative of 0*f + 0*f**4 + 1 - 1\/2*f**6 + 0*f**5 + 0*f**3 + 1\/2*f**2. What is the second derivative of v(d) wrt d?\nAnswer: -60*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12 and 39682218.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 92.45912 kilometers in nanometers?\nAnswer: 92459120000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(1\/7))**(1\/7) assuming s is positive.\nAnswer: s**(8\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(931) - (sqrt(931) + sqrt(931) + sqrt(931) + -2*sqrt(931)*-6) - (sqrt(931) + 1 + 0 + sqrt(931)))*-6 + 5)**2.\nAnswer: 10752*sqrt(19) + 8580160","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -2\/61, -1\/9, -4406, -3 in decreasing order.\nAnswer: -2\/61, -1\/9, -0.2, -3, -4406","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/23 or 4?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 100*y + 94*y + 51*y - 20*y + 129*y. Let s(j) = -23*j**2. Give w(s(g)).\nAnswer: -8142*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 94 + -91. What is the second biggest value in 0.3, 25, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = -3*j + 2*s + 3, 0 = -5*j + 2*s - 2. Let k be j - (2 + -5) - 10. Let w be -1 + 16\/(-3 - k). Solve w*c - 3 = z, 3*z + 0*c - c + 1 = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 582120\/11088 - (-15)\/20*(-4)\/6?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 333823 to the nearest integer?\nAnswer: 578","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.58 - -0.58. Suppose 0 = 4*i - 3*i. Suppose i = 2*r - 1 + 3. Which is the closest to r? (a) s (b) 4\/3 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*d - 3*d - 12 = -3*v, d = -v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -53 (b) 2\/11 (c) 0.004 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5099182481 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -173 - -277. What is the tens digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2.56 (b) -2\/17 (c) 0.2 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0014694 rounded to five decimal places?\nAnswer: -0.00147","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*a*w**3 + 2*a*w - 3*a + w**5 + 945762*w**3 - 61*w + 1530 wrt w?\nAnswer: -30*a*w + 20*w**3 + 5674572*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 3*l - 4. Solve -10 = l*z - 25 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 84 and 682059.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**2 - 15*c - 12. Let a be p(-14). Let r = a - -2. Put -5, -3, r in descending order.\nAnswer: r, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmwmwm. What is prob of sequence wm?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:27 AM and 12:03 PM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-30)\/(-6)*(-108)\/10. Let s = z - -61. Is 7 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the second derivative of -g**6\/144 + g**5\/16 + 5*g**4\/12 + 13*g**3\/6 - 19*g. Let r(m) be the second derivative of h(m). Find w, given that r(w) = 0.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the first derivative of -737*p**3\/3 + 97*p + 1080. What is the first derivative of s(z) wrt z?\nAnswer: -1474*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6748?\nAnswer: 2, 7, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3250566.\nAnswer: 2, 3, 11, 16417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**3 - 4*y**2 - 4*y + 5. Let a be p(5). Let l(w) = -51*w + 978. Calculate the remainder when (-326)\/(-10) - (-4)\/a is divided by l(19).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -4\/3, -0.22, 5, 2, 18.2?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**2 - 4*n - 1. Let m be g(-3). Suppose 0 = m*o - 0*o - 102. What is the tens digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1575594 and 9690?\nAnswer: 1938","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 121021211 (base 3) in base 4?\nAnswer: 2321203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -14 + (69 + -98 - -88).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y + 3 + 12*y**2 + 2*y - 2*y**2 - 11*y**2. Let b(k) = -k**2 + k + 2. Determine -5*b(j) + 3*q(j).\nAnswer: 2*j**2 - 2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-5*(-2 + -3 + sqrt(684) + sqrt(684) + 1 + sqrt(684))*-1)**2*2.\nAnswer: -308600 + 7200*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 175 + (15\/20)\/(2\/(-8)).\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 380*o - 252*o + 34940 + 47338 = -1178*o for o.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 130307, 260612, 390917, 521222, 651527?\nAnswer: 781832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(-1\/7)*z\/z**(-4))**(-50) assuming z is positive.\nAnswer: z**(-2050\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -10*n**2 + 1625*n + 5810 = 0.\nAnswer: -7\/2, 166","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 3*l - 2927 = 1498, -4*l = 5*i - 11005. Is 4 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1*(15\/3 + 1). Let h = -2 - x. Let s = 44378 - 44374. Solve h*z = z - 12, 2*z + 4 = s*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2490*d - 2463*d + 54 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from {w: 5, l: 5, k: 4}.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence neen when four letters picked without replacement from {e: 2, n: 3}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 2 z, and 1 v when four letters picked without replacement from {e: 1, w: 3, p: 2, o: 5, v: 1, z: 3}?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (18738\/(-4))\/9*180\/(-54)?\nAnswer: 5, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 171892163517 - 4813607881673\/28. Let a = 22407658 + c. Let s = a - 3973. What is the common denominator of 133\/24 and s?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*u + 13*u - 10 + 0*u - u + 14.\nAnswer: 31*u + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lewelwuwle. What is prob of sequence ww?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -9*d - 8. Let g(z) = 9*z + 7. Let m(c) = 3*g(c) + 4*l(c). Is m(-10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*n**2 + 1705*n - 1710.\nAnswer: 5*(n - 1)*(n + 342)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**3 - 20*t**2 - t + 31. Give v(20).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -4*w**2 + 15024*w - 7010640 = 0.\nAnswer: 546, 3210","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -453*i = -454*i - 5. Sort 3, 2, i, 18 in ascending order.\nAnswer: i, 2, 3, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2, -511, -2064, -5179, -10378, -18183, -29116?\n\"Answer: -87*o**3 + 2*o**2 + 90*o - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -497*a + 2912 = -385*a for a.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 211*v + 28 = 204*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 3*d = -3*u - 169, -4*d = 3*u - 175. Suppose -c - 1134 = -5*g + 36, 4*c = -4*g + 960. Suppose d*b - 38*b - g = 0. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 120 and 24.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2548)*-1*-2)**2*3 - -5*(2*(sqrt(2548) + 1))**2.\nAnswer: 560*sqrt(13) + 81556","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -29 + 52. Let l = -23 + k. Solve -2*i - 6 = -l for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -473 + 156 + 155 + 155 - a + 16*a**2 to c*a + x + k*a**2 and give k.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 67588184433 minus 0.094?\nAnswer: 67588184432.906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b - b + 6*b)*(5 - 3 - 3)*(-5*b**3 + 6*b**3 - 5*b**2 + 2*b**2).\nAnswer: -2*b**4 + 6*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -4*o**2 + 15*o + 26. Let u(x) = -x**2 + 2*x + 1. Let c(j) = -f(j) + 3*u(j). Is c(-10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**2 + d - 5. Let h be t(3). Suppose s - 9 = -h. Suppose -5*v - 133 - 29 = -2*p, 5*p + s*v = 347. List the prime factors of p.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2145 a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3725660 and 80?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1.2 (b) -1\/27 (c) -0.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -20 + 47. Suppose -3*s + 5 + 29 = 2*i, -5*s = -5*i - 40. What is the remainder when p is divided by s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 22231 + 4?\nAnswer: 22235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 11\/4 of a meter?\nAnswer: 275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 3*z**2 - 5*z + 2. Suppose 8*l = 3*l - 35. Let q(c) = -c - 3. Let h be q(l). Suppose 3*d - 8 = h. Let y(f) = -f**2 + f. Give d*y(j) + g(j).\nAnswer: -j**2 - j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1201046050 to the nearest integer?\nAnswer: 1063","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 42637113 - 2?\nAnswer: 42637111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from {t: 1, e: 2, u: 1, i: 5, s: 3}?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 284507, -7, 0.02?\nAnswer: 284507","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the third derivative of -1\/24*o**4 + 0*o - 7*o**2 + 0 - 1\/336*o**8 - 1\/6*o**3 + 1\/60*o**6 - 1\/210*o**7 + 1\/30*o**5. Suppose s(f) = 0. What is f?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**3 + 7*t**2 - 6*t - 9. Let j be x(-7). Calculate the smallest common multiple of -1 - 4\/((-4)\/j) and (-2*-3*(-65)\/117)\/(1\/(-3)).\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -223 + 119. Let k be 16\/t + (-34595)\/(-13). What is the common denominator of 83\/12 and 4\/(-18) + k\/(-54)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -33970 from -0.1.\nAnswer: 33969.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:30 PM and 9:06 AM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**3 - 3*z**2 + 5. Let i(u) = -2*u**3 + 2*u**2 - u - 5. Let q(v) = 2*i(v) + 3*o(v). Let p be q(-4). List the prime factors of (0 + 22)*(p + 4).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fhphhfhhhpfpfnffp. Give prob of sequence hnff.\nAnswer: 3\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*s + 5*f + 152, 4*s - 1086 = -3*f - 922 for s.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-6)*-1)\/(((-159)\/2226)\/(3\/7))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 46.89035 - 46.9. Let j = -7 - -7.01. Let x = h + j. What is x rounded to 4 dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 3 s when four letters picked without replacement from {c: 1, s: 14, i: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:07 PM and 11:18 PM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -313 (base 8) in base 16?\nAnswer: -cb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4 - -2)\/(0 - 1). Suppose 18*f - c*f - 448 = 0. Suppose -3*s + 84 = s. What is the greatest common factor of s and f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -164 by 1543.\nAnswer: -164\/1543","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 a factor of 788392421?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 64\/(-12)*(-33)\/88?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97 = -5*p + 583. Let o = 72 - p. What is o rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 120 at least 1794?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 555485773 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3838*y**3 + 2*y**2 - 2062 wrt y?\nAnswer: -23028","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3451157*i**2 - 4*i - 671850?\nAnswer: -6902314","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*i = -7*i + 496. Which is greater: i or -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x + 877 = -5*r - 5020, r + 1153 = -5*x. Do -1173 and r have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - k**2 + 631*k**3 + 2 - 632*k**3 - 3*k**2 - 7*k to u*k + d*k**2 + a + n*k**3 and give u.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 54693 or 54660?\nAnswer: 54693","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-4)\/3)\/((-1)\/3). Let j be 1\/1 + -3 + m. Suppose -j*x = -3*x - 2. Let q(b) = 2*b - 2. What is q(x)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 5\/337?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 200 = -4*p + 30*q, 0 = 2847*q - 2849*q + 12 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.07 - -1.93. Let p = 28.54 + -28.24. Which is the nearest to -1? (a) -1 (b) p (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 36 = -4*y, k + 15 = -5*y - 0*y. Let g(n) = 14*n - 3. What are the prime factors of g(k)?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 - -49?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 46*y**2 + 1180*y + 21. Calculate q(-25).\nAnswer: -729","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/3 - 32960\/(-618). Solve 4*b + 9*b = -v for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000164560506 to five dps.\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2, 3, 5, 2 in descending order.\nAnswer: 5, 3, 2, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -3*c**5\/4 + 2*c**4 + 332*c**3 + 873*c**2\/2 - 445*c\/4 - 437\/2 = 0.\nAnswer: -19, -1, 2\/3, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*q**3 - 6*q**3 + 3*q + 2*q**2 - 4*q in the form l*q**3 + r*q + h + j*q**2 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12377 is divided by 12262.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0\/(-1) + (-5 - -6). Let q be p + 0 + 0 + 5. Let b be 21\/q*12\/21. Let g(j) = j**3 + 3*j - 3. Determine g(b).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11302444 (base 5) to base 8.\nAnswer: 312113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13 + -2. Let y = 0 + s. Solve y + 14 = -5*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the third derivative of -x**2 + 1\/210*x**5 + 0*x + 1\/21*x**3 + 1\/42*x**4 + 0. Let l(t) = 0. Calculate t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 112855 less than 4?\nAnswer: -112851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 105138.000074 + -105149. Let b = o + 11. Round b to 5 decimal places.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -2789*k + 19641. Give s(7).\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + a - 203 = 6*f, 4*f + 172 = -4*a. Let w = f - -33. Let x(h) = -33*h**3 + 4*h**2 + 5*h - 12. Let z be x(w). Round z to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -704 by 665.\nAnswer: -704\/665","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07317 rounded to two dps?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4.095 - 4.2. Let g = 0.195 - n. What is the second smallest value in g, 2\/3, 2, -1.8?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**2 - f - 3. Let b(c) = 7*c**2 + 16*c + 23. Let m(g) = b(g) + 4*v(g). Let k(d) = -d**2 - 4*d - 4. What is -11*k(l) - 4*m(l)?\nAnswer: -l**2 - 4*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (-1*sqrt(500))\/(-3*(sqrt(8)\/sqrt(2) - sqrt(4) - sqrt(4))))**2.\nAnswer: -10*sqrt(5) + 206\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sum 7 and -0.9187048469.\nAnswer: 6.0812951531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:41 AM and 4:01 PM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 2*t**3 - 33*t**2 + 16*t - 18. Let s be f(16). Sort s, 1, -33 in descending order.\nAnswer: 1, s, -33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1104 and 5.\nAnswer: 5520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 48*h**2*q**3 - 122*h**2*v - 24*h*q**3 + 226*h*v + 3*q**3 wrt h.\nAnswer: 96*q**3 - 244*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the second derivative of f**3\/6 + f**2 + 16*f. Let h be j(-6). Let l be (1 - (-15)\/9) + -2. Which is the second smallest value? (a) h (b) 6 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 10) in base 3?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:51 PM and 8:36 AM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*p + 7*p + r + 0*r = -r + 7 - 15, -2*p + 10*r = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6 and 204?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 106112 and 5504?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 5*b + 10 = 0, -2*f + 4*b - b = -13. Suppose 3*q + h = 9, 0 = f*q - 5*h - 0*h + 5. Which is smaller: q or 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 6400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q**(-3)\/q))\/(q*q**(1\/5)))**(-2\/7) assuming q is positive.\nAnswer: q**(-38\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 3 + 1 + c - 1. Let v = 81 - 56. What is the remainder when v is divided by d(10)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6200814?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 386247 is divided by 96560?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4, 4, 10, 14?\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-583)\/(-742)*35\/10?\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -670*l**3*p**2 + 107*l**3*p - 32*l**3 - 1483*l**2*p**2 + 12*l**2 - 140*p**2 wrt l?\nAnswer: -4020*p**2 + 642*p - 192","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 13*p**2 + 2*p - 3. Calculate m(2).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 + 5654576?\nAnswer: 5654580","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3979.7 - 3979.69989507. Round j to four decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -682\/879 - -2232433\/16701. Let p = -133 + g. Which is bigger: -1 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 8\/29841 and -1\/9702?\nAnswer: 1969506","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**3 - 10*g**2 - 3*g - 12. Let p(r) = r**3 - 8*r**2 - 4*r - 10. Let f(m) = 3*k(m) - 4*p(m). Give f(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17595?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + ((sqrt(15) + sqrt(2160)*1)*4)\/((sqrt(125)*1 - sqrt(125))*-4 + sqrt(125)))**2.\nAnswer: -208*sqrt(3)\/5 + 8212\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 11 + 8 + c**2 - 14.\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 44\/3 + -15. Let v be 2*(-5 + 3)\/14. Sort -1, o, v in descending order.\nAnswer: v, o, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 234*s - 76*s - 76*s - 81*s. Let h(n) = 28*n. Calculate h(g(z)).\nAnswer: 28*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -171872 or -171910?\nAnswer: -171910","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1539) - (sqrt(1539) - ((sqrt(1539) + 0 - sqrt(1539)) + 3 + sqrt(1539))**2).\nAnswer: 54*sqrt(19) + 1548","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -32, -273, -930, -2213, -4332, -7497, -11918?\nAnswer: -17805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6*(-75)\/360 - 43\/(-28). What is the fourth biggest value in 5, a, 1\/8, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -31 (base 6) to base 2\nAnswer: -10011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -124.72 - 4.\nAnswer: -128.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 7, j: 7}. What is prob of picking 1 j and 1 z?\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.198 and -19.223157.\nAnswer: -19.421157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 240 - 232. Calculate the remainder when 19 is divided by q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110001101101011 - -11?\nAnswer: -110001101101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -92*a**2 - 10*a - 36. Let m(d) = 93*d**2 + 12*d + 38. Let h(n) = -2*m(n) - 3*u(n). What are the prime factors of h(-4)?\nAnswer: 2, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k + 70. Let j(r) = 10*r. Determine y(j(g)).\nAnswer: 10*g + 70","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 + 3 - -23 - (-4)\/(-4). Find the second derivative of -k + 30*i - 22 + 46 - 6*i**4 wrt i.\nAnswer: -72*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 4*g = -0*k + 2, -2*k + g = -10. Let i be (1 - 0)\/((-27)\/6 - -5). Let f(s) = 9*s**2 - 2 - 23*s**2 + i*s**2 + 11*s**2 + 8*s. Give f(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3761149 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in nine tenths of a litre?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**2 - 4. Let h(y) = 6*y**2 + 27. Suppose -20 = -4*j - j. Calculate j*h(q) + 27*f(q).\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19484?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/15 + 24\/15. Let m be (2 - 2\/p) + -20. Let s = m - -32. Calculate the greatest common divisor of 13 and s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -81*c + 45. Let p be t(-8). What is the highest common divisor of 63 and p?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 217619 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -2988*213\nAnswer: -636444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.741 - 1.0665. What is q rounded to two decimal places?\nAnswer: -0.33","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*a - 9*a - 19786 = -19178 for a.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 83808360?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*v**3 - 4*v**2 + 4*v**3 - 12 - 3*v**3 + 9*v**2.\nAnswer: v**3 + 5*v**2 - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 861114 - 746104 = -3*p, 3*p = 5*a - 2009063. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3 + 0)\/(2\/(-96)). Let q = -65 - s. Suppose -3*n + 4*m + q = 0, -4*n + 0*n + 126 = 5*m. Is 16 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p + 18*p - 1940589. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 364 and 3850?\nAnswer: 100100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**0\/q*q*q*q*q\/q**(-11))\/(q**6*q*q**(-7\/4)) assuming q is positive.\nAnswer: q**(35\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -27680, -110748, -249206, -443060, -692316, -996980, -1357058, -1772556?\n\"Answer: -j**3 - 27689*j**2 + 6*j + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 723 + -13. Suppose 114*r - 119*r = p. Let j = r - -346. Calculate the remainder when j is divided by 52.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 50 in 4, -1, 0.1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -52 - -78?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -22*l + 11. Let k(s) = s - 1. Let q(p) = d(p) + 5*k(p). Find the first derivative of q(c) wrt c.\nAnswer: -17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -13, -77, -189, -349, -557, -813, -1117?\n\"Answer: -24*f**2 + 8*f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**2\/4 + 49825990*t + 2482629279480100.\nAnswer: (t + 99651980)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(832)*-1 - (sqrt(52) + 1 - sqrt(13)).\nAnswer: -9*sqrt(13) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 27670 and 330?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/36 + 1\/(-4). Let n = -1912\/249 + 167\/83. Which is the third biggest value? (a) 0 (b) n (c) -1 (d) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 132*x**2 - 253*x**2 + 138*x**2.\nAnswer: 17*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are 13390 and 17 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-266)\/(-798))\/(1\/(-39)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6570, 6576, 6592, 6624, 6678?\nAnswer: 6760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 2*z = 0. Suppose z*k + 7*k = 861. List the prime factors of 1 + -2 - k\/(-3).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 75394 and 4392080.\nAnswer: 506","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, y: 3, u: 3, q: 1, j: 2, o: 3}. Give prob of sequence zj.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 50*s**2 - 18*s + 8. Let o(r) = r**2 - 2*r + 1. What is -l(g) + 8*o(g)?\nAnswer: -42*g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32 + (-3 - (11 - (-30 - -12)) - -23)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in seven quarters of a microgram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18*j**3 - 2*j**3 - j**3 + 2*j**3 + 1 - 1 + (3 + 2*j - 3)*(-2*j**2 - 3*j + 3*j))*(-12 - 14 + 20)*(1 + 2 - 1)*(-1 + 2 + 1).\nAnswer: -312*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the first derivative of -1\/4*w**4 - 4\/3*w**3 + 4*w**2 + 41 + 10*w. What are the prime factors of z(-7)?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = 5*i - 3*c - 4, 2*i - 3*c + 13 = 0. Let b be 0\/i + (-1 - 71). Let m = 103 + b. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 133737?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 185 = -8*j. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 24 = 4*k, 5*k + 3*f - 8*f = 35. Suppose -25*s + 29*s = -k*b + 991, -2*b = 5*s - 670. What is the hundreds digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2129 + 2166. Let f(v) = 5*v + 8. Let x be f(6). Which is smaller: x or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/62 (b) -1\/3 (c) -3 (d) -1 (e) 4 (f) -77\/5 (g) -0.07\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -312121411411 + 4?\nAnswer: -312121411402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -0*m - 20. Find the second derivative of -5*t + t**m + t**4 - 7*t - t**4 wrt t.\nAnswer: 12*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1\/6, -1, -4\/7, 0.07 in decreasing order.\nAnswer: 1\/6, 0.07, -4\/7, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - 2*r + 3*g = 0, -5*g - 20 = -5*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**2 + 3*y. Let s be c(-4). Suppose s*n = -5*d + 55, -3*n + 36 = 3*d - 0*n. Is d a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes after 1:14 PM?\nAnswer: 8:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**3 - 8*r**2 + 30*r - 56. Calculate the least common multiple of 654 and w(7).\nAnswer: 22890","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + (-3 - (0 - 1)) + 7 - 17.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l**2\/7 - 44448*l\/7 + 246953088\/7 = 0. Calculate l.\nAnswer: 11112","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 7*-63*(-47)\/2961. Suppose 8*p - 3*p + 25 = 0, 5 = -5*c - p. Suppose -z + 3 + 1 = c. Solve a - z = 3*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h - 26 - 4. Suppose -22 = -4*g - h. Solve 3*d + 3 = 4*a, -d + 0*d - 17 = g*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9 - -9. Suppose 0 = -2*j - 4, -l - j + 270 - 67 = p. Suppose -4*h = 3*q - 167, -4*h + l = h + 3*q. What is the remainder when h is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3555?\nAnswer: 3, 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(153) - sqrt(153)*3)**2 - (sqrt(17) - sqrt(34)\/sqrt(2))*1) + -5*(4 + sqrt(17))*5.\nAnswer: -25*sqrt(17) + 512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z = -4*k - 14, 4*z + 3*k + 2*k = -2 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqititqtt. Give prob of picking 2 q and 2 t.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 2 x when four letters picked without replacement from yyygoypggsxsxspp.\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 12 = -0*v, 0 = g - 5*v - 646. What are the prime factors of g?\nAnswer: 2, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -556856, -1113712, -1670568?\n\"Answer: -556856*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes after 4:13 PM?\nAnswer: 2:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1295\/(-518))\/((-1)\/6).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and -0.018?\nAnswer: 0.0036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cxwm when four letters picked without replacement from yycxmwxxwwwoyoyow?\nAnswer: 1\/3808","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82*y - 3 = -81*y - r, r - 4 = 0. Which is smaller: y or -1\/8093?\nAnswer: -1\/8093","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uc when two letters picked without replacement from gzckguuuuug?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -125 + 21?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -7*p**3 - 11*p**2 - 7*p - 11. Let v(d) = -d**3 - d**2. Let w(i) = i**3 - 2*i - 3. Let b(x) = 3*v(x) + w(x). What is 22*b(q) - 6*o(q)?\nAnswer: -2*q**3 - 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3771101 to the power of 1\/5, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-2 + 3)*0 - -123?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = -0*a + 3*a. Let j(z) = -3*z + 17. Let n be j(a). Calculate the greatest common factor of n and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a meter in centimeters?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7802270?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/11 (b) -3 (c) 0.2 (d) 0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -95575 + 1094047027\/11447. Which is smaller: 0 or w?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 - -a332?\nAnswer: a330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -443 or 3.041?\nAnswer: -443","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 1 + (-1 - 2 + 4)*(3 - 3 - 1))*(-3 + 2 + 4)*(2 + 2 + 4)*(-2 + 0 + 0)*(0*p**5 + 0*p**5 - 3*p**5).\nAnswer: -288*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (9\/15)\/((-9)\/(-30)). Solve 3*y - 20 = v*n - 6, -3*n - 15 = -3*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * -45259.\nAnswer: 90518","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 25.6 + -28. Let h = o + 2. What is the third biggest value in -1, h, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - -18 - 13) + 2 + 2 - 6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -892, -8624, -21490, -39490, -62624, -90892, -124294?\nAnswer: -162830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 + 3903e?\nAnswer: 39043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add 2.7 and 0.21401.\nAnswer: 2.91401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 649349425?\nAnswer: 5, 17, 821, 1861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5526 - 5523.9996. Let t = 6 + -4. Let n = t - z. Round n to 4 decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8255?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 252, 414, 708, 1140, 1716, 2442, 3324, 4368?\n\"Answer: o**3 + 60*o**2 - 25*o + 216","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*h - i, h + h + 6 = 5*i. Let n = h - 11. Let o(u) = -u**2 - 6*u + 2. What is the least common multiple of o(n) and 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6.5 - -28.02.\nAnswer: 21.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the third derivative of 0*w + 0*w**3 + 0*w**7 + 0*w**5 + 0 - 1\/336*w**8 - 1\/24*w**4 - 3*w**2 + 0*w**6. Find the second derivative of x(g) wrt g.\nAnswer: -20*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (871*(-106)\/3445)\/(2\/10)*1.\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2097 = 176*m + 719 for m.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 254, 1, 3, -3, 16, 945 in descending order.\nAnswer: 945, 254, 16, 3, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*r + 9*r + 1086 = 0. Suppose -5*t + 5*i = -r - 57, t - 2*i = 120. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 187389?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3334565 < -313?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -36 - (-10 + -3 + -6)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 + 0)\/(1\/(-3)). Let d(s) = -s**2 - 2*s + 4. Determine d(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(76)*2)\/sqrt(2) + sqrt(950)*-1)*-2)\/(-4*sqrt(162) - sqrt(18)\/(sqrt(9) - sqrt(1089))).\nAnswer: -60*sqrt(19)\/359","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**2\/9 + 296*m\/3 + 50518\/9.\nAnswer: 2*(m + 67)*(m + 377)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -200.9 + 201. Let k = 16\/21 + -22\/35. Let r = -248\/145 + 9\/29. Which is the third biggest value? (a) r (b) k (c) l (d) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-139 - (-92 + 29)) + 0.\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 8 + c8d42?\nAnswer: c8d4a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-24)*54\/63*49\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8954, 17907, 26858, 35807, 44754, 53699, 62642?\nAnswer: 71583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 83451675 to the nearest integer?\nAnswer: 437","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**2 - 7*a - 4. Let r be y(-6). Suppose 3*s + r*s = m + 27, m = s - 7. Let i = 0.2 - 0.3. What is the closest to m in 0.4, -1, i?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/5663730 and 37\/70.\nAnswer: 39646110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 916812196 take away -20?\nAnswer: 916812216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**3 + 4*f**2 + 4*f - 9. Let c be y(4). Solve -5*q + 8 = -5*t - c, -5*t - 4*q = 24 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.9299 to 2 dps.\nAnswer: -0.93","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*d = -7*d - 76. Let j = d + -14. What is the tens digit of (-18)\/(((-5)\/3)\/j)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1579 is divided by 83.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f = -3*i + 1, -4*f + 19 = i - 14 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -206 - -364. Suppose 0 = -0*x + 2*x + 2, n = c + x. List the prime factors of c.\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 1 + 2*u)*(7 - 2 - 1) - 2*u + 4*u + 0*u)*(-404*u + 18*u**2 + 404*u).\nAnswer: 180*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(1\/2))**(-3\/17))**36 assuming k is positive.\nAnswer: k**(-54\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9349 is divided by 3111?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/680912 and 115\/48?\nAnswer: 2042736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 8 + -2 - (-1 + 3)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.427 + 0.227. Which is the closest to -4? (a) 0.25 (b) -0.4 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the second derivative of -h**3\/3 + 12*h. Let b(u) = -12*u. Determine b(y(v)).\nAnswer: 24*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -353193*0.02.\nAnswer: -7063.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*z + 7*z - z - 12*z.\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**7\/h)\/h)\/(h**(-12)\/h)*(h\/((h\/(h*h**(-2\/9))*h)\/h*h*h))\/(h\/h**6) assuming h is positive.\nAnswer: h**(196\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kx when two letters picked without replacement from kxxxkxxxxxxxxxxxxxxx.\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 5*d + 45 = 0, 5*d = -2*t + d - 12. Solve -4*y + t*u - 24 = 0, 2*y - 4*u + u = -16 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 3\/5, -0.2, 4, 1\/10?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p + 10. What is the remainder when 41 is divided by s(12)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**3 + 11*h**2 - 3*h + 25. Let n be j(11). Is 16 a factor of 180\/5 - n\/(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -14b - 471?\nAnswer: -600","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1086430899448 from -0.01.\nAnswer: 1086430899447.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -44921, -362181, -1223319, -2900273, -5664981, -9789381, -15545411, -23205009?\n\"Answer: -45323*t**3 - t**2 + 4*t + 399","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, -3, 1\/8, 0.12?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*g - 6*g = -12*g + 242 + 8 for g.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*9*(-236)\/396480*-112?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -161 - -174. Suppose 7*a = 9*a + 194. Let t = m - a. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (5 - -16)\/((-1)\/(-3)). Let i be 16\/7 - 18\/z. Solve 2*x = -5*q - 30, -2*x - i*q - 15 - 3 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 9457000 to the nearest one hundred thousand.\nAnswer: 9500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11*k*p**5 + 13895*k*p**4 + 3*k*p**2 + 32*k - 2*p + 1178 wrt p.\nAnswer: 660*k*p**2 + 333480*k*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 10 - (13 - (19 - 10)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, d: 7, s: 1}. What is prob of picking 1 s and 2 k?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100*l - 227 - 158 + 85 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(363) - sqrt(363)*-1) + sqrt(363))\/sqrt(11))\/sqrt(3).\nAnswer: 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 74924976?\nAnswer: 2, 3, 7, 222991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let p be 68\/51 - ((-98)\/(-6) - 1). Let u(t) be the second derivative of 10*t**3\/3 - 3*t**2 - t. Let m(k) = -2 + 5*k + 3*k - k. What is p*m(n) + 5*u(n)?\nAnswer: 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in eleven halves of a tonne?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 2) in base 12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 4, p: 16}. Give prob of picking 1 n and 2 p.\nAnswer: 8\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 219172909?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.53 - 3.5. Let b = 1.03 - p. Do 0.3 and b have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2483\/4 - 607. Find the common denominator of k and (279\/(-540))\/((-2)\/9).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/23? (a) -7.3 (b) 2\/29 (c) -4 (d) 2\/15 (e) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/4, -13, 265, 4, 5\/2?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:54 PM and 10:29 PM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*t**4 + 2500*t**2 - 2756*t + 2756*t + 270*t**2 + 139*t**3 + 135*t**3 wrt t.\nAnswer: 48*t + 1644","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -58690 times -8115?\nAnswer: 476269350","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.484317 days in hours?\nAnswer: 11.623608","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -454, -1004, -1554, -2104, -2654?\n\"Answer: -550*g + 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o - o - 3*o)*(-53784 - 42270 + 81782)*(4*o - 4*o - 2*o**4).\nAnswer: -57088*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -848774*u**4 - 19907*u**2 - 21*u wrt u?\nAnswer: -20370576*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.161 + 0.589. Let h = u + -0.85. Let b = 17 + -87\/5. What is the closest to h in b, 3, 0.3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 764? (a) -1\/3 (b) 4 (c) 0 (d) 0.067\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 2*a**4 + a + 5*a**4 - 14*a**4 to the form g*a + c*a**2 + p + f*a**4 + m*a**3 and give f.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - r + 82 = 0, -r - 242 = -3*q - 0*r. Is q a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 436*r**2*s - 10*r**2 + 112*r - 130311*s - 35 wrt r.\nAnswer: 872*r*s - 20*r + 112","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-8)\/(-36) - (88012\/1395 + 1). Let r = -974\/15 - j. What is the common denominator of r and 8\/11?\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 19 + -18. Let c be (-1058)\/(-184) + (m + -3)\/(-8). Sort 2, 1, c.\nAnswer: 1, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -367230 + 59317088\nAnswer: 58949858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 156358?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:54 PM and 3:49 AM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2662 = -z - s, z + 4*s = 7 + 2643. List the prime factors of z.\nAnswer: 2, 31, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 4*w = -5*h - 27, 0 = -3*w + 3*h + 21. What is the tens digit of ((-387)\/180 + w\/5)*-64?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28 + 52 - 24 + 2225351*b**2.\nAnswer: 2225351*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1 or 539?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 + 1. What is the lowest common multiple of (11 + t + -1)*2 and 16?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19 - 10. Let k be ((-1)\/n)\/(3\/(-6)). Let j = 10.05 - 9.05. What is the third smallest value in k, j, 1\/3, -5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -109 - -11. Let w = -486\/5 - g. Let n = -3.7 + -0.3. What is the nearest to -2\/3 in n, w, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -2*h**2. Let a = 19 + -14. Let f(n) = -a*n**2 + 2*n**2 - n**2 + 0*n**2. What is f(o(c))?\nAnswer: -16*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -14, -6\/5, 4\/5, 2\/3, 2\/35?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 45\/3 + -11*(-731)\/(-187).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 9 - -14?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 - (-11 + (-1)\/1). Suppose -12 = 3*g - 42. What is the highest common divisor of m and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -211*b**2 - 245*b + 237*b + 212*b**2 + 18. What is o(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 95 and -31.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 7, m: 7}. Give prob of sequence mmmm.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sp when two letters picked without replacement from sspps?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o - 8. Determine m(11).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 8 - 268*o**2 + 262*o**2 + 0 + 4*o + o**3. Calculate the remainder when 11 is divided by c(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**3 - 22*i**2 + i + 24. Let s be f(-22). Suppose s*z - 25 = 45. What are the prime factors of z?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u + 15 = 5*f, -f - 400 = -3*u - 387 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/6174 and -127\/3906?\nAnswer: 191394","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -3*j**3 + 11*j**2 + 3*j + 9. Let m(a) = -a**3 + 4*a**2 + a + 3. Let t(v) = -17*m(v) + 6*z(v). Give t(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 36741244 + 110?\nAnswer: 36741354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 2204004840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 9) to base 16\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -48 - -1 - (-222 - -207).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2 + 8288*m + 74754.\nAnswer: -2*(m - 4153)*(m + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**3\/3 + 158*f**2 - 11970*f + 293706.\nAnswer: -2*(f - 111)*(f - 63)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a hour in seconds?\nAnswer: 3240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -6*m + 4. Let w be f(1). Let d(r) = 54*r**2 + 2*r - 1. Is d(w) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 7 (b) 24 (c) -5 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 4752 = 3*s, s = -56*z + 54*z + 4744. List the prime factors of z.\nAnswer: 2, 3, 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 174 - 1148. Let t = -973.99409 - s. What is t rounded to 3 dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (-90)\/30*16\/(-3) and 44.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 4*a + 145. Is x(-6) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 84014639?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the third derivative of 0*m + 0*m**3 + 15*m**2 + 1\/16*m**4 - 1\/80*m**6 - 1\/140*m**7 + 1\/40*m**5 + 0. What is v in t(v) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1\/4, 1, 0.01, 10?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 392, -1, 2\/131, -0.2, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ucycycuc. What is prob of sequence uu?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, b: 1, y: 1, p: 2, u: 1, k: 1}. What is prob of picking 2 p?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12\/13*g**4 + 218\/13*g**3 + 1188\/13*g**2 + 256\/13 + 1728\/13*g = 0.\nAnswer: -8, -2, -1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and -0.06612?\nAnswer: -0.06612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1851*x**3 + 269041*x**2 - 269041*x**2 - 1861*x**3.\nAnswer: -10*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/45 and 29\/111675?\nAnswer: 335025","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 2*o - 3. Let z be m(7). Let k(f) = 2*f**2 + f + 3. Let a be k(-5). Suppose 5*y - a = -2*w - z, -w + 8 = y. Does 7 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -6*i**2. Let w(d) be the third derivative of 0*d + 0*d**3 - 1\/8*d**4 + 7*d**2 + 0. Calculate w(r(z)).\nAnswer: 18*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in three fifths of a meter?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s - 5*z - 17, 2*s + 11 = 3*z - 6*z. Solve s + 0 = -a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 273 and 42?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the first derivative of -2*j**5\/75 + j**4\/10 + 28*j**3\/45 - 4*j**2\/5 - 16*j\/3 - 7316. Determine q so that d(q) = 0.\nAnswer: -2, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9a22c6 (base 14) to base 8.\nAnswer: 23750046","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24755 is divided by 148?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 23521?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 415848228?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 107 = 2*s, -s - 4*s + 110 = 5*l. Does 19 divide 455\/1 + -15 + l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 802 + 0*d**2 - 2*d**2 + 3*d + 5*d**2.\nAnswer: 3*d**2 + 3*d + 802","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5368536115.\nAnswer: 5, 29, 137, 9319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**3 - 17*q**2 - 226*q - 2333. What is j(-13)?\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 2*sqrt(275) - (-1 + (sqrt(11) - (sqrt(121) - -1*sqrt(121))\/sqrt(11)))**2) + 0.\nAnswer: -12 + 8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**3 + 2*j**2 + j - 2. Let b = 819 - 817. Let f(w) = -w**2 - w + 1. Let g be 1*(2 - 3\/3). Give b*f(o) + g*m(o).\nAnswer: -o**3 - o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the third derivative of -v**6\/8 - v**5\/12 + v**4\/24 + 4*v**3 + 106*v**2. Is k(-4) a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one fifth of a century?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 64 = -4*t, -2*r + 5 = t - 11. Solve 1 = -3*o + t for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -102*p - 114*p - 113*p + 335*p. Let s(a) = -10*a - 2. Calculate s(j(m)).\nAnswer: -60*m - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 3, -826, 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -565, 32, 1661, 4838, 10079, 17900, 28817?\nAnswer: 43346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1337, 5350, 12039, 21404, 33445, 48162?\nAnswer: 65555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 246035*c*o**3 - 75*c*o**2 + 232*o**2 wrt o.\nAnswer: 1476210*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -15829*c - 78989. What is k(-5)?\nAnswer: 156","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110 + -100000101000101?\nAnswer: -100000101001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1194 + 518.5.\nAnswer: 1712.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 19021730257 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/(-5)*-5)\/1. Suppose -t + 5*d = -5*t - 20, -2*d = t + 8. Suppose z*n - n + 5600000 = t. Round n to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a + 1. Let x be w(-4). Let f be (-1)\/6*-2 - (-54)\/(-162). Let r(v) = f*v + 0*v + x*v**2 - 10*v**2. Let t(s) = 2*s. What is t(r(h))?\nAnswer: -10*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 224500 rounded to the nearest 10000?\nAnswer: 220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43755*z**2 - 26707*z**2 - 63130*z**2.\nAnswer: -133592*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 4 + 54*s**2 - 12*s**2 - 39*s**2.\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 902145 divided by 1317\nAnswer: 685","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 12 = 3*g, -k = 4*g - 2*k - 16. Let y be (-1)\/(g\/20*2\/(-2)). Solve -5*n + 5*u = -30, 8*n - 21 = y*n + 4*u for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -156224 (base 7) to base 11.\nAnswer: -2130a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (-6 - (-6 - 8))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 12*c + 15*c = 486, 684 = 7*y + 3*c. Calculate the remainder when y is divided by 86.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4340 and 71748880.\nAnswer: 71748880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-3888)\/(-16) + 12\/(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 34806, 34808, 34810, 34812?\n\"Answer: 2*g + 34804","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.6 - 0.2. Which is the nearest to -2? (a) -3\/4 (b) x (c) -1\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 933*q = 1838*q - 954*q + 1473087. Is q a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 223*f + 445. Let h be y(-2). Which is the fourth biggest value? (a) -0.5 (b) 4 (c) 1\/5 (d) h\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10449.26 + -10601. What is s rounded to zero decimal places?\nAnswer: -152","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**2 + 5*y - 6. Suppose 3*b = -b - 5*t - 76, 2*b + 2*t = -38. Let o be (-5)\/(-15) - b\/(-3). Let n be i(o). Is 3\/5 smaller than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 49 (base 15) to base 13.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:03 AM and 10:28 AM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12619199*x**3 - 3*x + 584825 wrt x.\nAnswer: -75715194*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 206*r - 32*r - 193140 = 0. Is r a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.1 + 0.6. Let v = -0.15 - -1.25. Let g = v + -0.1. Put k, g, -3\/5 in descending order.\nAnswer: g, k, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-502)\/(-12)*(-6)\/(-4). Let u = -3773\/60 + s. Let j be 2\/(-18)*2 - 69\/(-189). What is the nearest to 0.1 in j, u, -1\/4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**3 + 8*m**2 - m - 2. Let f(x) = x**2 + 8*x - 1. Let g be f(-7). List the prime factors of i(g).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 e when four letters picked without replacement from {e: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.97224 to 2 dps.\nAnswer: -2.97","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11 + 15. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z - 5*z + 0*z)*(1333 - 2159 + 1393 - 2*z).\nAnswer: 4*z**2 - 1134*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 482.\nAnswer: 2, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - (4 - 5))\/(-4 + 3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -9 + 9 + -7 - (-10 + -9 + -12)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 239.4 - 239. Which is the nearest to -1? (a) 1\/7 (b) -20 (c) -5 (d) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11\/(-30)*16\/(-44)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4944)\/8240*(-5)\/(-186).\nAnswer: -1\/62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**5\/7 + 274*s**4\/7 + 1716*s**3\/7.\nAnswer: -2*s**3*(s - 143)*(s + 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (1 + 1 - -1) + -1\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -22 by -194213.\nAnswer: 22\/194213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 4*((2*sqrt(5)*-2)**2 + (2*sqrt(80) + sqrt(80) + sqrt(80))**2).\nAnswer: 5442","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1363)\/(-2) - 7\/((-42)\/9).\nAnswer: 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 4, r: 10}. Give prob of sequence rnr.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = -f - 7. Let v = -1451 - -1465. Calculate the remainder when f is divided by v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*w**3 + 23*w**3 + 24*w - 9*w**3 + (-2*w - 4 + 4)*(-5*w**2 + 3*w**2 - 5*w**2) as u*w + x*w**3 + q*w**2 + l and give u.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3110 - 3092. Solve 3*x = j - 15, -5*x + 2*j = 7 + l for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2765.\nAnswer: 5, 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 921203 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*l - 42, l - 163 = 2*g - 192 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20 - 53 - (-66 + -9)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w - 2*w**2 + w + (-w - 3*w + 2*w)*(0 - 2*w + 0) + w**2 - 3 + 3)*(-71*w + 23*w**2 + 71*w).\nAnswer: 69*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2835)\/1323*28\/(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 0*l + 3 = l, -4*l = -12 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -90 by -5.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 3*v - 5*u, -5*u = 4*v - 14 - 6. What is the third smallest value in -0.4, -4\/3, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15081*f = 15358*f - 14958 for f.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*f - 305 = -591 for f.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w + 3*s + 3, -w - 2*s = w - 6. Let b be (4 - (w + -2))\/(-1). Let r = 0.1 + -0.2. What is the nearest to r in 4, 2\/13, b?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.5 times -55\nAnswer: 82.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 20*i - 5*i - 143. Let c(g) be the first derivative of 0*g**3 + 0*g**2 - i - 23\/5*g**5 + 0*g**4 + 4*g. Find the first derivative of c(u) wrt u.\nAnswer: -92*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1112 is divided by 547?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 3*v - 11 = 2*v, 2*y - 6 = -3*v. Let m be 15 + 2*y\/6. Suppose -m = -5*j - 3. Solve -3*o + 6*o + 25 = -2*r, -j*o - 35 = 4*r for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3 + 2)*(795163 + 37). Round z to the nearest 10000.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that g**2\/3 - 3640*g\/3 + 10893 = 0.\nAnswer: 9, 3631","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/1333326 and -85\/258?\nAnswer: 57333018","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3885*s + 3927*s - 210 = 0. Let x(r) = r**2 - 5*r + 3. Let a be x(5). Solve s*u = -5*o - 5, -2*u = a*u + 3*o + 5 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes before 11:02 PM?\nAnswer: 5:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(2420) + sqrt(2420)*-2 - sqrt(2420))\/((-1*sqrt(40))\/sqrt(4)).\nAnswer: 5 + 22*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-164974)\/132*(-15)\/10 - 2. Let b = g + -1871. What is the common denominator of b and -101\/60?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -9*t + 9. Let q(l) = -1 - 4*l + l + 4. Let y(n) = 6*c(n) - 17*q(n). What is the derivative of y(w) wrt w?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(68) - (sqrt(68) + 0))*4 - sqrt(68)) + -1*(sqrt(68) - (-1 + sqrt(68))) + 1 + -5)**2.\nAnswer: 20*sqrt(17) + 93","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 2560174?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1148 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**3 + 9*r**2 - 6*r - 4. Let a = -2 - 4. Let d be g(a). Suppose 35 = 5*b - d. Does 10 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(891) + 3*sqrt(891))*-1 + -3 + 6*(5 + sqrt(1584)*3).\nAnswer: 27 + 180*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5.4 + -1.4. Let x = -7 - h. Let q = 6 + -4. Which is the smallest value? (a) q (b) x (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 41 - 42. Calculate the common denominator of -2*(v\/((-33)\/(-162)))\/(-8) and 19\/18.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/((c\/(c\/(c*c**(2\/3)))*c)\/c*c*c))**49*(c*c**(-2)\/c)\/c**4 assuming c is positive.\nAnswer: c**(-410\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 3*m = -0*d + 144, 5*d - 5*m - 120 = 0. Let v = d - 22. Solve 12 = -2*n + w, -n - v*w + 30 = -5*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d - 6*d + d**2 + 2*d + 2*d - 10. Calculate the remainder when 78 is divided by p(-5).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a week in hours?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**2 - 2*f + 9. Calculate j(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3789 rounded to the nearest one hundred?\nAnswer: 3800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-40)\/(-10 - -6))\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 456 or 454?\nAnswer: 454","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 158*i**3 + 113*i**2 wrt i.\nAnswer: 948","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**3 - 3*m**2 + m + 4. Let n be q(4). Suppose 0 = 2*j + 3*s + 5 - n, s - 9 = -2*j. Suppose 0*u + 10 = j*u. Sort u, 7, -5.\nAnswer: -5, u, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((6 - 72 + 5)*(-1 + 2 + 1) - 1 + 5 - 1)*(0*h**2 - 5*h**2 - 5*h**2).\nAnswer: 1190*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 324401?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 19.7 to 0 dps.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14530, 58493, 131860, 234631?\nAnswer: 366806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -26*b**2 - 8*b**2 - b**2 + (2*b + 2 - 2)*(91 + 96 - 189 - 366*b).\nAnswer: -767*b**2 - 4*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 232*u + 229. Let i(f) = 231*f + 227. Let w(n) = -2*i(n) + 3*j(n). Find the first derivative of w(c) wrt c.\nAnswer: 234","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 - -4. Suppose m*s - 177 = 153. Suppose -10 = -3*q + s. What is the highest common divisor of q and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-19)\/(-114))\/((-6)\/(-27)). Suppose -5 = 2*u - 3. What is the nearest to u in g, 4, 2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 740, -114, 3, 46 in increasing order.\nAnswer: -114, 3, 46, 740","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 811.03357 to the nearest ten.\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 420 and 2?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-39)\/(-52))\/((-12)\/(-8)*-1).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r + 4*z - 92 = 0, -8609*z = -2877*z - 2868*z - 2869*z + 90 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 p when two letters picked without replacement from loapnplnllknoa?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/(-18) + (-74)\/9 + 0. Let y(v) = -v**2 - 12*v - 30. Let k be y(f). Find z such that z**4 - 1\/5*z**5 + k*z**2 + 1\/5 - z - 2*z**3 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 251 - 249. Let d = -5230\/9 - -582. Is d at least v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 + -2. Let a(d) = -4101*d + 1. Let b be a(v). What is b rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1872 - 1285. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1022984.\nAnswer: 2, 127873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2045517419 to the nearest integer?\nAnswer: 1269","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 56860\/2 + 4\/(-12)*3 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19 - (-30 + (-24 - -31 - -13))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/6111081 and 32\/101129.\nAnswer: 42777567","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n - 4*j + 28, -5*n - 2*j - 38 = -0*j. Let d be ((-20)\/6)\/(n\/(-48)). Let k be 4 - d\/25*-5. Solve k*g - b = 4*g - 8, -4*g + 3*b + 24 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6687 + 6175 = -64*l for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1300) - (sqrt(1300) + -1 + -5) - (1*sqrt(1300) + sqrt(1300) + -4).\nAnswer: -20*sqrt(13) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the third derivative of 0*d**6 + 0 - 13\/105*d**7 + 5\/24*d**4 + 0*d + 1\/3*d**3 + 46*d**2 + 0*d**5. What is the second derivative of a(k) wrt k?\nAnswer: -312*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -8*a**3 - a + 1. Let r = -35 + 36. Give f(r).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1046*r = -6153 - 6399 for r.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*z = -3*c - 63, -3783*z - 2*c = -3788*z + 16 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/3 or 1615.25?\nAnswer: 1615.25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 673 (base 12) to base 9.\nAnswer: 1266","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 2325806*r**3 + 1953*r**2 + 1953*r + 3906. Let k(w) = -2383*w**3 - 2*w**2 - 2*w - 4. What is 2*a(s) + 1953*k(s)?\nAnswer: -2387*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/392 and 43\/4.\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 + 31. Which is the biggest value? (a) k (b) 5 (c) -0.3 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 1, i: 1, q: 2}. What is prob of sequence igqg?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -51 + 78 + -31 - 1\/((-2)\/404). Calculate the highest common factor of 154 and l.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3443?\nAnswer: 11, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 182733, 730953, 1644653, 2923833, 4568493, 6578633, 8954253?\n\"Answer: 182740*r**2 - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.2 (b) 0 (c) 2 (d) -7 (e) 36\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/192 and 89\/264.\nAnswer: 2112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(6)\/sqrt(2)*5 + 3 + sqrt(3) + 1 - (sqrt(75) - (sqrt(75) + -2 + 1)**2).\nAnswer: -9*sqrt(3) + 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10133 + -10132.6. Let k = 0.2 - 0.6. What is the third biggest value in a, 0.3, 8, k?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -1\/174, 1, -3\/8, -491.\nAnswer: -491, -3\/8, -1\/174, 0.1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 174 is divided by 21?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + (-12 - 7) + 9?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 16 = -5*c. Let w be c\/((-4)\/26) - -2. What is the second derivative of -252 - f - w*f**4 + 252 wrt f?\nAnswer: -180*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 172 - 168. Let a(m) be the third derivative of 1\/5*m**3 + 4\/25*m**5 + 11\/40*m**l + 2*m**2 + 7\/200*m**6 + 0*m + 0. Factor a(v).\nAnswer: 3*(v + 1)**2*(7*v + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2571.34344 to 0 decimal places.\nAnswer: -2571","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(1\/10)\/j**(-1\/5) assuming j is positive.\nAnswer: j**(3\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/25 of a litre in millilitres?\nAnswer: 280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.03 in 18\/5, 0.8, -5.56?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2344?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*k - 19*k - 7*k.\nAnswer: -26*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13940?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**2 - 1. Let j(f) = 2*f**2 - 8*f + 10. Let p(v) = -3*i(v) - j(v). Let m be (-1)\/4 - 18\/(-8) - 11. What is the units digit of p(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -19 in 20, -4, 2\/7, 6, -6, 3\/5?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 3*m + 29. Let w be v(7). Suppose 87*p - 92*p + w = 0. Solve -3*r + p = -5 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*f + f + 4*f + 1 - f - 1 + (3*f - f - f)*(2 - 2 - 1) + 3*f - 3*f - 3*f + (2*f - f - 2*f)*(-1 + 3 + 1)*(17 + 17 - 57) as k + l*f and give l.\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**3 + 4*d**2 - d - 3. What is l(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1396047755*c**4 - 938846546 wrt c?\nAnswer: -5584191020*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4340153 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -24 and 4043.\nAnswer: -97032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -1.4727?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12 - 20. Let l be 1100\/32 + 3\/q. Let r = 5 + l. What are the prime factors of r?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4 + -29)*11\/(-55). Let i(k) be the first derivative of 3\/4*k**4 + 2*k**3 + 0*k + 0*k**2 + 2 - 3\/5*k**b. Factor i(r).\nAnswer: -3*r**2*(r - 2)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13121 (base 6) to base 9\nAnswer: -2654","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 k when four letters picked without replacement from {v: 2, k: 6}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.02 * -10.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 89efd - 21b?\nAnswer: 89ce2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 8 (b) 10\/13 (c) 5 (d) -5 (e) 2\/21 (f) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 49 + -15. Let l = y + -39. Sort l, 11, 6\/11 in descending order.\nAnswer: 11, 6\/11, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**2 - 2*f. Let z(s) = 3*s**2 + 11*s - 44. Calculate -6*r(h) - z(h).\nAnswer: 3*h**2 + h + 44","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -279, -257 in ascending order.\nAnswer: -279, -257, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 243 and 670194?\nAnswer: 670194","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 220 = -j + 5*j. What is the tens digit of (-3)\/1 - j*(-6 - -5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (116 - (-1656759)\/(-14283))*54?\nAnswer: 6\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the first derivative of -7 + 0*a - 3\/2*a**2. Let b(i) = 2. Let c(v) = -v + 9. Let p(z) = 9*b(z) - 2*c(z). Determine p(u(y)).\nAnswer: -6*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 - (-17 - -34 - 13)) + -3?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 4*c + 9. Let l(r) = 4. Let s(f) = 21*f - 146. Let k(o) = -6*l(o) - s(o). Let x be k(6). Determine v(x).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 13385, 13405, 13441, 13499, 13585, 13705, 13865?\n\"Answer: h**3 + 2*h**2 + 7*h + 13375","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Is 2361 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -6*g + 29. Let j(z) = -952*z. What is j(f(m))?\nAnswer: 5712*m - 27608","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -141842.8 to the nearest 1000.\nAnswer: -142000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 118445 a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**2 + 3*r + 7. Let u be d(5). Which is the nearest to -1? (a) -0.4 (b) 4 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qlrl when four letters picked without replacement from qrfflqfqrrflrrrfl.\nAnswer: 9\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + 22 + -14 + -25 + (34 - -2).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -108264*d**5*j + 14*d**3*j**2 - 4*d**2 - 566280*j**2 wrt d?\nAnswer: -6495840*d**2*j + 84*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -10102*t - 5365*t - 11854*t - 13. Let c be v(-10). Let b = c + -619197. Round b to the nearest 10000.\nAnswer: -350000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 f when four letters picked without replacement from ffafffa?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -729 in -1\/389, -2, -1\/7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 128281018?\nAnswer: 2, 3413, 18793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z - 4 + 4)*(-6*z**2 + 4*z**2 + 0*z**2 + (-1 - 2*z + 1)*(-1 + 2*z + 1) + 27 - 80 - 2*z**2 + 26).\nAnswer: -16*z**3 - 54*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6\/13 - -1\/26. Sort -0.9, -2, y, 4 in increasing order.\nAnswer: -2, -0.9, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -52 + 47. Put g, -1, 3 in increasing order.\nAnswer: g, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/10)\/(5\/(-25)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6839, -13666, -20495, -27326, -34159, -40994, -47831?\nAnswer: -54670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 105 divided by -1374.\nAnswer: -35\/458","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 15*r**5 - 24685*r**4 - 1952040*r**3 - 33921300*r**2 + 144728000*r - 137760000 = 0.\nAnswer: -40, 5\/3, 2, 1722","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + j = 1 - 5, 4 = -2*d + 4*j. Solve -3*i**2 + 10*i**2 - 5 - 2*i**4 - 3*i**d + 3 = 0 for i.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -57 + 62. Solve -y + m*y = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 317 + -322 - (-9 + 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5115?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -22 + (7 - -2) + 14.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12.4 + -13.43. Let s = h + 0.03. Let q = 4.0686 - 0.0686. Which is smaller: s or q?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w + w - 246. Does 61 divide 2\/8 + w*85\/20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6485 + 40042. What is the third derivative of -b*w + 33557*w + 90*w**2 - 20*w**6 wrt w?\nAnswer: -2400*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 4 - 1 + (-3 + 2 - 1)*(0 + 0 + 2) + 1 - 4 + 1 + 7 - 7 + 6)*((5 + 0 - 4)*(2*f**3 - 9*f**3 - 4*f**3) + 2*f**3 - f**3 + f**3).\nAnswer: 18*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -151 - 1914*t + 1912*t + 151.\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes after 3:35 PM?\nAnswer: 7:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:32 AM and 3:03 PM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7064.879 + -7068. Let s = -0.121 - u. Which is the closest to -2? (a) -0.4 (b) -2 (c) s (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 2421, -3, 1179 in decreasing order.\nAnswer: 2421, 1179, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((sqrt(13) - sqrt(65)\/sqrt(125)) + (sqrt(637) - (sqrt(637) + 0)) + 5))**2.\nAnswer: 128*sqrt(13) + 13328\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -99\/10 and 17\/5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y + 1. Let d(m) = 3*m - 6. Let z(q) = -q + 1. Let p be z(5). Determine p*h(c) - d(c).\nAnswer: c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11 - -17. Suppose -3*g - 4*j + 1322 = 0, -3*g = -g - 5*j - 866. Let d = 436 - g. Put -3, d, c, -5 in decreasing order.\nAnswer: c, d, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 5*g + 1. Let i be -6*-3*(-290)\/(-180). Suppose i = 5*t + 9. Let l(a) = 9*a + 1. What is t*l(z) - 7*q(z)?\nAnswer: z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.6 + 2.3. Let g = -1.3 - f. What is the second smallest value in 0, -0.4, g?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 3*a + 6 = 0, -2*g = -5*a - 14 + 12. Sort 5, -1, g, 0.1.\nAnswer: g, -1, 0.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g\/((g*g\/(g\/g**0))\/g*g)))**23\/((g*g*g**(-5))\/g**(-3\/2)) assuming g is positive.\nAnswer: g**(49\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2449 and 79.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1518 + 1375?\nAnswer: -143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 12*t - 9*t - 11 = 0, 5*c - 3*t = -31. Suppose -5*r - 17 = 3. Put c, r, 3 in descending order.\nAnswer: 3, r, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3420 and 2736?\nAnswer: 13680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.06 - -0.14. What is the smallest value in f, -2\/5, 0.02?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(35)\/sqrt(5) + -1.\nAnswer: -3 + sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15211\/4 + 3778. Let y = 231199\/14 + -16522. Let n = y - -370\/21. What is the common denominator of o and n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -79 (b) 592 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -364.00852 + 364. What is s rounded to 3 decimal places?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/14 - 12\/42. Let l(o) = -9*o + c + o - 4 + 92*o**2 + 179*o**2. Let s be l(-6). What is s rounded to the nearest one thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3360)\/(-6552))\/(544\/48 - 12).\nAnswer: -10\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -5*((-1 + sqrt(80))*-6)**2 + 1 + (-3 + sqrt(80))*-6 + sqrt(80))*-4.\nAnswer: -5680*sqrt(5) + 58252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is s in s**4\/5 + 422*s**3\/5 - 2988*s**2\/5 + 6426*s\/5 - 3861\/5 = 0?\nAnswer: -429, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**3 - 6*r**2 - 8*r + 3. Let t(f) = 3*f**3 - 18*f**2 - 23*f + 9. Let n(m) = -6*t(m) + 17*u(m). Is n(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 945 and 54.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 574 is divided by 248?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - 2*t + 2 + 8, -5*g - 3*t + 15 = 0. Suppose -2*o + 0 - 20 = g. Is (-1)\/2 + (-65)\/o a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20222010210 (base 3) to base 16\nAnswer: -217c2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*d**2 + 264*d + 512 = 0. What is d?\nAnswer: -64, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1108806*o**3 - 17*o**2 - 10 + 10 - 1108824*o**3.\nAnswer: -18*o**3 - 17*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (8 - 76\/8)\/((-2)\/4). Let a be (-10664)\/(-26) - 8\/156*h. Calculate the highest common factor of a and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 138 by 46.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*b + 71 - 71)*(0*b + 0*b + 5*b).\nAnswer: -50*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, p: 6, z: 6, t: 4}. Give prob of sequence yy.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 divided by 4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(147)*-5)\/(1*sqrt(567)))\/(sqrt(18)\/(sqrt(12)\/sqrt(2)*-3) - -3*(sqrt(3) + (sqrt(3) - sqrt(147)*-2) - sqrt(3))).\nAnswer: -5*sqrt(7)\/201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + 2*l = 1 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4431*d - 126 = -4445*d for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -38264, -153311, -345148, -613775, -959192, -1381399, -1880396?\nAnswer: -2456183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.104736032522228 + 0.02.\nAnswer: -0.084736032522228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 10 = f - 5*s, 2*s - 7 = -f. Let u = -17.45 - -16. Let q = u + 1.15. Which is the third smallest value? (a) f (b) 2 (c) -2 (d) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -44108*3\nAnswer: -132324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*d**3 - d**2 - 19649*d - 735467 with respect to d.\nAnswer: 6*d**2 - 2*d - 19649","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -26685 or -26684?\nAnswer: -26685","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 3 - 6)*(-13*n + 35*n + 4 - 2*n**2 - 27*n) to the form p*n**2 + b + q*n and give q.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*x - 10*x = 2*t - 72, x + 60 = -10*t - 25 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add together 91.95013 and -287.\nAnswer: -195.04987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -16*w**3 + 28*w**2 + 56*w + 12 = 0.\nAnswer: -1, -1\/4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70456 is divided by 3708.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**(-12))\/w)**42*w*w*w*w**(3\/32)*w*w\/w**1 assuming w is positive.\nAnswer: w**(16259\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -5*a + 180. Let s be d(36). Solve -4*k = 0, -2*k = 2*q - s*q + 8 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 156598 is divided by 78298?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hoo when three letters picked without replacement from {h: 1, j: 1, z: 3, k: 2, o: 7}?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + n - 1 + (9 + 56 + 29)*(5*n + 4 + 0 - 4*n) + (3 + 0 - 2)*(-3*n + 0*n + 2*n) - 1 + 2*n + 1 to k*n + b and give k.\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a - 3*m + 5, -a = 28*m - 29*m - 5. Calculate the smallest common multiple of a and 4551.\nAnswer: 18204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v when three letters picked without replacement from {o: 1, v: 5, y: 3, e: 3, q: 1}?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**2. Let t(y) = -2*y**3 + 8*y**2 - 2. Let f(g) = -2 + 1 - 6*g - 12*g - 8*g**2 + 9*g**2. Let o be f(18). Calculate o*t(b) - 8*a(b).\nAnswer: 2*b**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 42798?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 851 = -3*v + 854 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 8 = -d - 4*v, 0 = 5*d - 3*v + 35. Let q(y) = y**3 + 6*y**2 + 5*y - 4. Calculate the remainder when 22 is divided by q(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 less than -221500.768?\nAnswer: -221501.068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 6612?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -160b0 + 0?\nAnswer: -160b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2333, 8670, 19141, 33752, 52509, 75418?\n\"Answer: f**3 + 2061*f**2 + 147*f + 124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v + 73. Let b(z) = -69. Calculate 4*b(o) + 3*m(o).\nAnswer: 3*o - 57","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 83746368 and 1798848?\nAnswer: 753717312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3 - ((17 - 4) + -5). Let c be 43\/(-2) - 2\/(-4). Let y = u - c. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 5*b - 10*b - 3*b - 4 + 6*b. Let c = 3 + -6. What is h(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the third derivative of -p**5\/4 - 5*p**4\/12 + 4*p**2. Find the second derivative of h(k) wrt k.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of -27*7*4\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes after 10:39 PM?\nAnswer: 8:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h - 4*k + 36 = 106, 3*k + 14 = -h for h.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1462 and 68.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 835.677125 + 6.417625. Let u = -842 + g. Let p = u - 0.096. What is p rounded to three decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 610 divide 435540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that l**2\/3 - 5*l\/3 + 2 = 0.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 118109 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.7 in -0.06, 6, 1, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 188448 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(-3) - 7\/3. Let d(z) = 2*z - 2. Let f be d(3). Sort 3, j, f in decreasing order.\nAnswer: f, 3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46725 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.7 + -1.1. Let j = -4.05 - -0.05. What is the biggest value in j, u, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -91147089.000067 + 91147253. Let i = x + -164. What is i rounded to five decimal places?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q = -q - 3*j + 31, -107*q + 712 = -104*q + 65*j for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, o: 8, j: 4}. Give prob of sequence ozoj.\nAnswer: 8\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -6*v**2 + 22*v - 3. Let c be o(3). Put c, -6\/5, -0.2 in descending order.\nAnswer: c, -0.2, -6\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10078496 + 201516579\/20. Let l = -2671 - k. What is the common denominator of l and -143\/12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -14623116 + -22?\nAnswer: -14623138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 181067?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12 - -16) + 11 - 24?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 19*t - 233. Let h be y(13). Solve -h = 4*z - 2*n, -z = -2*n + 4*n + 11 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -20 and -4.8.\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 35031, 34973, 34913, 34851?\n\"Answer: -m**2 - 55*m + 35087","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + -10 - -4 - (13 - 15) - 19?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -98011 or -490059\/5?\nAnswer: -98011","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 37*c**2 + 176*c + 1. Is f(22) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w**4 + 328*w**3 + 7620*w**2 + 36176*w + 28880 = 0. Calculate w.\nAnswer: -38, -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 2*t + 63 = 11, -5*t = -4*p + 77. Let o = -5 + p. Solve k - 13 = -3*j, 3*j = 3*k - j + o for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -7*x + 2. Let v be k(-6). Let g = v + -42. Solve g*t = -0 - 2 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10110010 (base 3) to base 15\nAnswer: b29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 5*r - 5 = 0, 66*r = 61*r. Sort -14, h, -1, 0.\nAnswer: -14, h, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 581*s + 569*s - 1138*s.\nAnswer: 12*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*3*sqrt(13) + (sqrt(130) + sqrt(130)*1)\/sqrt(10) + -3.\nAnswer: -sqrt(13) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -5 + 0 + 1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1010 - 543.\nAnswer: -1553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 39478, 39476, 39474, 39472, 39470, 39468?\nAnswer: 39466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -947\/115, 2\/3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8001 and 84212303?\nAnswer: 757910727","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s\/(s\/(s*s*s\/(s\/(s*s*s\/s**(-7\/2)))*s*s*s*s))*s))**(-47)\/(s\/(s*s**(-29)))**(6\/7) assuming s is positive.\nAnswer: s**(7877\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*u - 2*u - 2*u)*(-9*u**2 + u**2 - 5*u**2 + (3*u + 2*u - u)*(-2*u - 3*u + 3*u)) to the form v + z*u**2 + p*u + h*u**3 and give h.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -22*u + 25 + 12*u + 12*u. Let j be f(-12). Which is smaller: j or 4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence irr when three letters picked without replacement from {i: 2, r: 3, n: 3}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5268 - 5?\nAnswer: 5263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 6 - 11?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -1572.9 to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16429\/63 - 6\/(-27)?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*j + 25 + 9. What is the common denominator of 7939\/(-1836) - (-6)\/j and -15\/14?\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -t**2 + 1510 + 3*t - 37*t**4 + 1469 - 2961 in the form u + g*t**2 + a*t + n*t**3 + p*t**4 and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.43108 + 0.43083691. What is v rounded to five decimal places?\nAnswer: -0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*d - 7699 - 11364 = 20221. What is the highest common divisor of 28 and d?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.31 and -0.06?\nAnswer: -0.0186","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3 - 2\/(-1))\/(-5). Let t be (-2)\/7 + 9\/7. Suppose t = z - 2*z. Sort -5, p, z in increasing order.\nAnswer: -5, z, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1694 = 3464*o - 3541*o + 154 for o.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 776*b**4 - 2*b**2 - 188*b.\nAnswer: 18624*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/(u**(-13\/3)*u)*u*u\/(u*((u**3*u)\/u)\/u)*u*u*u**(-11\/3)\/(u\/(u*u*u**(7\/4)*u)) assuming u is positive.\nAnswer: u**(65\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the second derivative of f**5\/20 - f**4\/12 + 2*f**3\/3 - 3*f**2\/2 - 60*f. Let l be -2 - (1 + -1 + -1). Let a = l - -3. Give n(a).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y**4 + 5572*y**3 - 16744*y**2 + 11168*y = 0. What is y?\nAnswer: -1396, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 28 + -26.9. Let j = o - 1.141. Round j to 2 dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 18*d - 6. Let x be w(-8). Let f = x + 406. Let t = f + -182. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 33*z - 506. What is u(15)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/3*(68 - 65).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_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: What is 0.5 less than 0.06932?\nAnswer: -0.43068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, -4, -65, -3 in increasing order.\nAnswer: -65, -15, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * -376.\nAnswer: -188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 30 + 172 = 0. Let c be n\/7 - (-24)\/84. Let d = 34 - c. Is 18 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*z + 3*z**2 + 2*z - 5*z - z**2 + 24.\nAnswer: 2*z**2 - 5*z + 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 981603128 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 3}. Give prob of sequence eee.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 45271346033 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 46508 = -5*i, -3*i - 3*k - k = -27892. What is i rounded to the nearest 1000?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12789371 to the nearest integer?\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = 3*n - 27. Suppose 26 = p - 5*d - 9, 3*d - 63 = -5*p. Calculate the remainder when p is divided by n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 o when two letters picked without replacement from xxxiixiiooijijxiix.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.6 or 2474?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1176343843 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/(-21) + (-255)\/(-35). Let p = q - 8. Let h = -4.3 - 0.7. What is the second smallest value in p, h, 2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 6*n + 20 = 0, -n = -m + 792. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86 a factor of 16\/(-2)*13\/((-780)\/(-45)) - -4729?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.51665*-0.9.\nAnswer: -0.464985","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14 and 166?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -144 = -4*a + 3*x, 3*a = 9*x - 6*x + 111. Suppose 46*v - a*v = 143. Calculate the smallest common multiple of 6 and v.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*s**4 + 3*s**4 - s**4)*(82 - 168 + 90 - 42*s).\nAnswer: 378*s**5 - 36*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 0 + 0*m - 1\/2*m**3 + 2*m**2 = 0.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2231174952?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the third derivative of -b**4\/3 - 3*b**2. Let z(u) be the first derivative of u**2\/2 + 5*u - 1. Let v be z(-4). What is i(v)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b397 (base 12) to base 3.\nAnswer: -222211021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -4*h + x, 3*h + 5*x + 1 = 7*h. Suppose -h - 1 = -z. Let l(f) = f + 1. Let q(k) = 2*k + 9. Let n(c) = 3*l(c) - q(c). Give n(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70027240831 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 46217 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f - 11. Let a be g(13). Solve a*x - 14 = 2*v - 0*v, -5*v - 26 = -2*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 3*k**3 - 59 + 66 - 2*k**3. Give g(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/7, 0.2, 0, -5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 28 = 4*n. Let x(v) = 3*v + 10. What is the remainder when x(10) is divided by n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 + -14. Let d = 13 + o. Which is the closest to -0.1? (a) -0.3 (b) 0 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 0 - 2*i**2 + 0. Let g(o) be the first derivative of o**4\/12 - o**2\/2 + 8. Let d(z) be the second derivative of g(z). Calculate d(u(j)).\nAnswer: -4*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5083\/(-1196) + 10\/4.\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 225361271 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/4 of a micrometer in nanometers?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5592 - -5598. Solve q*f + f = 28 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80429 = 96*c + 19853. Which is smaller: c or 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 81961?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1781.13 take away -33.0998?\nAnswer: -1748.0302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 19443971843 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3\/25 - -46\/175. Which is the third biggest value? (a) v (b) -4\/5 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4334?\nAnswer: 2, 11, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 125292454 to the nearest integer?\nAnswer: 500","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the second derivative of -10\/21*t**3 + 1\/42*t**4 + 0 + 16\/7*t**2 - 70*t. Let l(d) = 0. Calculate d.\nAnswer: 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-271)\/(-1084)*(-8)\/18.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 - 190333*g - 5 - 2612*g**2 + 190333*g as p*g**2 + l + v*g and give p.\nAnswer: -2612","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*u + 2*v + 2, -4*u + 4*v = 940 - 912 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 take away -29918.351555?\nAnswer: 29918.051555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1944558170?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from {o: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + u + 104 = 0, -4*a + 2*a - 5*u = 37. Let j = 33 - a. Is j a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 340 divide 2428973710?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2525)\/(-2020))\/((-63)\/8)*2\/((-20)\/(-6))?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 146, 108, 108, 164, 294?\n\"Answer: 3*s**3 + s**2 - 62*s + 204","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - -4 - (-1 + 2 + 2)) + (-6112 - -6087).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2580 is divided by 23.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 - 2 - (-7 - 1) - 0.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -1456492*b - 10195416. Give c(-7).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 158467 and 19253?\nAnswer: 1481","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 7*w**3 - 2*w**2 - w + 3. Calculate l(-3).\nAnswer: -201","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29511, 30420, 31325, 32226, 33123?\nAnswer: 34016","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -4*h - 45, -2*h - 145 = -5*o + 2*h. Suppose -2 = 9*s + o. What is the smallest value in -1\/7, -3\/7, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81084095 is divided by 114?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*b**2*c**4 - 3*b**2*c**3 - 31*b**2*c - 13*b**2 + 3*c**2 wrt c.\nAnswer: -72*b**2*c**2 - 18*b**2*c + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -k - 246, -2*p - 4*k - 164 = -k. Let f = p + 94. Calculate the greatest common factor of f and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 3*o = -47, 4*o = 4*s + s - 58. Solve 0 = 3*z + s - 2 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7887 - 7925 + 15185)*(0*w - w - w).\nAnswer: 1254*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 134*m**3 + 18*m**2 + 685*m. Let r(q) = 34*q**3 + 4*q**2 + 171*q. Let i(s) = -9*r(s) + 2*x(s). What is the second derivative of i(g) wrt g?\nAnswer: -228*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/135634312 and 81\/418.\nAnswer: 135634312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2268 - 81 = -87*t. Calculate the greatest common factor of t and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 500712?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 20*j + 434. Is u(-13) a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 603 a factor of 1202631?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 22 = 4*t, 2*t = 3*l - 170 + 172 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -77888975, -77888976, -77888977, -77888978, -77888979?\n\"Answer: -d - 77888974","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -156 + 648. Suppose 144 + w = 2*c. What is the units digit of 4\/18 + c\/27?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-54)\/90 + (-32328)\/(-5) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-f**4 - 3*f**4 + 3*f**4)*(0 + 0 - 2) + 5*f**4 - 4*f**4 + f**4 - 1811*f**4 - 1393*f**4 + 2869*f**4 as h*f**3 + w*f**4 + p + t*f**2 + k*f and give w.\nAnswer: -331","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 66110339 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47*q + 1 - 50*q - 6*q**2 - 1.\nAnswer: -6*q**2 - 3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -58 + 48. Let l be (-14)\/(-18)*(-13 + 1). Which is bigger: x or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*z**4 - 4*z**4 + 3*z**4 + (-163*z + 163*z + 28*z**2)*(0 + 2*z**2 + 0).\nAnswer: 57*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, b: 3, y: 2, g: 1, u: 4, q: 3}. What is prob of picking 1 f and 2 y?\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, y: 4, f: 3, u: 7, l: 2}. What is prob of sequence uyy?\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/12 + 24\/(-9) + 3.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13231.\nAnswer: 101, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 631744920?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2775*v**2 + 1315.\nAnswer: 5550*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-11 + 1)\/((-7)\/28). Suppose -p - 4*p + x = 0. Does 4 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10 + (25 - 14) - -4) + 35 + -97.\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -32 at least -31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -6\/11, 1, 4, -0.645?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18 - 20. Let d = 0.2 - 0. Sort t, -0.5, d.\nAnswer: t, -0.5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 136*h**2 - 118*h - 100. Let v(f) = 74*f**2 - 60*f - 50. Let u(x) = -6*a(x) + 11*v(x). Let u(b) = 0. Calculate b.\nAnswer: -1, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 50, 59, -2, 3, -1 in descending order.\nAnswer: 59, 50, 3, 0, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 535475 (base 8) in base 14?\nAnswer: 49341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x**3 - 120*x**2 - 500*x + 12000 = 0 for x.\nAnswer: -10, 10, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1489 + 1489.00763. What is n rounded to 4 dps?\nAnswer: 0.0076","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1719 + 4863. Is 3 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*f**3*v**3 + f**3 + 49*f**2*v**5 - 788*f**2*v**2 wrt v?\nAnswer: -42*f**3 + 2940*f**2*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*f = -14*f + 3*o + 16, -5*f - 20 = -2*o. Sort 1, 28, f.\nAnswer: f, 1, 28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1096.6 + 1096.9. Are a and -39 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 0*b + 10 = 2*r, -b - 13 = -5*r for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/4, -5\/4, 3\/8, 2, 19508.\nAnswer: -5\/4, 3\/8, 5\/4, 2, 19508","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 5*g - 3*w, -2 = -w - 6 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.8425*-5\nAnswer: 4.2125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes before 12:21 AM?\nAnswer: 5:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -152*g + 1600 = -147*g. What is the lowest common multiple of g and 4?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 445 is divided by 90.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**2 + 13*h - 7. Let u be (3\/(48\/(-28)))\/(1\/8). Let g be s(u). Solve -4*o = -g*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 32 + -21. Suppose 5*h - u - 939 = 0, h + 0*u - 191 = -3*u. Suppose 0 = -4*x + x + n + h, -4*n = -16. Calculate the remainder when x is divided by b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the third derivative of -r**6\/60 + 7*r**5\/30 + 13*r**4\/24 - 5*r**3\/3 + 4311*r**2. Give d(8).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 != 3\/886?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -70 + 5?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1269\/2*28\/98. Let j = v - 181. Which is the second biggest value? (a) 5 (b) -11 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: d30 (base 14) to base 15\nAnswer: b7a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -53611487*c**4 - 69965071?\nAnswer: -214445948*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**3 + 11*b**2 + 2*b - 23. Let j be r(13). Let n = 1175 + j. Is 20 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16578*d**3 - 27412*d**3 + 12599*d**3 - 15523*d**3.\nAnswer: -46914*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in -3, 0.2, 0.03?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes before 7:13 PM?\nAnswer: 5:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7.6? (a) 4279 (b) -2\/5 (c) -71\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*o**3 + 1336*o + 0*o**3 - 499*o - 724*o.\nAnswer: 2*o**3 + 113*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j - 217991 + 56273 = 0. What is the ten thousands digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 362431 is divided by 4027?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 138\/18 - 2\/3. Suppose -3*w = -2*j, 3*w = d*w - 3*j. Factor -2\/5*m**2 + 2\/5*m**3 + 0*m + w.\nAnswer: 2*m**2*(m - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 2 = 263. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -60112 + -29?\nAnswer: -60141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7974.016 litres?\nAnswer: 7974016","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2843*h**4 - 1286*h - 5 wrt h.\nAnswer: 34116*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 266*n**3 + 2059*n**2 - 554*n - 16 = 0.\nAnswer: -8, -1\/38, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3 or -4165\/1758?\nAnswer: -4165\/1758","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/2*(-8)\/4. Suppose -5*n = 5*y - p*n + 3, 4*n = -3*y - 13. Suppose 2*j + a = 27, y = -2*j - 3*a + 34. What is the highest common factor of j and 48?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3413700 to the nearest one million.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -3511 divided by 1\nAnswer: -3511","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (30 - 12 + 25)*(-2 + 0 + 1)*(0*g - g - g - 3*g + 2*g + 3*g + (0*g - 4*g + 2*g)*(-1 + 2 - 2) + 0 + g + 0 - 2*g + 6*g - 3*g - 5*g - 14*g - g).\nAnswer: 688*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 6b965 (base 13) to base 14\nAnswer: 51bb3","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**3 + 22*z**2 - 3731*z + 82092. Calculate q(22).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b + 40*l - 36*l = -76, -10*l + 90 = -5*b for b.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8.01 - -83.41. What is n rounded to the nearest 10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 3*y**3 + 316*y**2 - 1303*y + 984 = 0.\nAnswer: -328\/3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -914486268*2.\nAnswer: -1828972536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((h\/(h**(1\/11)*h))**(-14\/13))**(-1\/8))**(-28))**(-4\/5) assuming h is positive.\nAnswer: h**(-196\/715)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -49220, -49257, -49308, -49379, -49476, -49605?\nAnswer: -49772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 32861 at most 32856?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1406316*i**4 - 4131*i - 149.\nAnswer: 16875792*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2158783450?\nAnswer: 2, 5, 23, 59, 31817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 645249415?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 161 - 291. Let y(i) = -1692*i + 6907. Let b be y(4). Let g = b + w. Calculate the least common multiple of g and 12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-1)*(-504)\/13104\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum 716 and -3237912613.\nAnswer: -3237911897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes after 12:50 PM?\nAnswer: 3:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 107*z + 76 = 504. Solve -y = -9*a + z*a - 22, -5*a = 2*y + 16 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 (base 8) in base 15?\nAnswer: 1b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(-5) + 56\/(-20). Suppose 4*r + 31 - 7 = 4*z, 4*z = -5*r - 3. Sort 1, -4, z, y in ascending order.\nAnswer: -4, y, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8423 - 0\nAnswer: -8423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, o: 7}. Give prob of picking 1 o and 1 j.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5340.994l in millilitres?\nAnswer: 5340994","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 - i - 22*i + 7 - 7 + (0*i + i - 3*i)*(3 - 2 - 2) + 5 - 5 - i.\nAnswer: -22*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 210360120 and 22061.\nAnswer: 1697","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 370 - 366. Suppose 5*w + 4 = -11, -q*l + 4*w + 32 = 0. Solve -l*n = -38 + 43 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the first derivative of -3\/11*k**2 - 2 + 4\/33*k**3 + 2\/11*k. Find d such that l(d) = 0.\nAnswer: 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 340 + 5?\nAnswer: 345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**1)**(-45)\/(o\/((o\/(o\/o**(-2)))\/o)*o**(-6))*(o**(1\/2)\/(((o**7*o)\/o)\/o))**12 assuming o is positive.\nAnswer: o**(-109)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Do -50636\/36691 and -2 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 3*z + 4. Let n = 3 + z. What are the prime factors of (-64)\/(-5) + 1\/n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3463283681.\nAnswer: 11, 13, 1181, 20507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/((-28)\/20) - ((-558)\/(-18) + -24))*-62.\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**3 + 17*u**2 - 13*u + 102. What is the remainder when 127 is divided by l(-18)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((25960\/(-32))\/(-11))\/((-1320)\/1056).\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 811491925?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one fifths of a litre?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:46 AM and 4:29 PM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (54\/4)\/(9\/6). Suppose -36 = -0*r + q*r. Is r less than or equal to -9\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 483 and 63?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 32*l. Let x(p) = -10*p. What is x(u(z))?\nAnswer: -320*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, -3\/5, -202, -763, -1\/3 in increasing order.\nAnswer: -763, -202, -3\/5, -1\/3, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 106 is divided by 24.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1024811954.\nAnswer: 2, 4547, 112691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of ((-172)\/86)\/(-1 + 19084\/19092) and 33?\nAnswer: 52503","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 - -2. Let c be ((-22)\/4)\/((-1)\/(-2)). Let y = 9 + c. Let z(x) = -x. Let p(s) = -s - 1. What is a*p(v) + y*z(v)?\nAnswer: v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**3\/23 + 41068*h**2\/23 - 217747768*h\/23 + 70507074512\/23.\nAnswer: -2*(h - 10094)**2*(h - 346)\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00180164 rounded to 5 decimal places?\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**3 - 20*g**2 - 70*g + 21. What is p(-15)?\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -2 + (((sqrt(216) - 1*sqrt(216))*-2)\/sqrt(9))\/(sqrt(48)\/(sqrt(36)\/sqrt(144))).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-2 + (-80)\/(-32))*932 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -65527 greater than -65527?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xycxcxixcc. Give prob of picking 3 x and 1 i.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14151165?\nAnswer: 3, 5, 7, 307, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 17123886*b**2 + 88691060 wrt b.\nAnswer: 34247772*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 46808?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -42772443 by -343.\nAnswer: 124701","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*w**3 - 28*w**3 + 7*w**3 + 3*w**3 + 6*w**3.\nAnswer: -w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*1*sqrt(76))\/(sqrt(72)\/sqrt(2)).\nAnswer: -5*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (30\/(-21))\/((-4)\/28). Let q(n) = -4*n**2 + 7*n - 3. Let v(m) = -12*m**2 + 22*m - 10. Let c(p) = d*q(p) - 3*v(p). Factor c(i).\nAnswer: -4*i*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**3 - 11*h**2 - 13*h + 12. Let n be v(12). Suppose d - 2*d + 3 = n. Suppose c - 4 = d. Solve c*a = 4*a + 9 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**3 - 11*z**2 - 38*z - 100. Let o(g) = -2*g**2 - 8*g - 20. Give -11*o(i) + 2*u(i).\nAnswer: 2*i**3 + 12*i + 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (774\/228 - 6) + 5\/2\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.41778371610546 and -0.4.\nAnswer: 0.01778371610546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -638.13617 rounded to 1 decimal place?\nAnswer: -638.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 7, v: 1, f: 1}. Give prob of sequence vz.\nAnswer: 7\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 6036466?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.1506 - -0.15060921. What is w rounded to six dps?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a - 9*w + 67 = 0, 227*a + 3*w = 231*a - 31 for a.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 9, i: 11}. What is prob of picking 1 h and 3 i?\nAnswer: 99\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5.98 - 6. Which is the nearest to 0? (a) j (b) -0.3 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2539305481 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -v**2 - 2*v**3 + 35*v**3 + 122*v + 0*v**2 - 39*v**3 to h + q*v + j*v**3 + l*v**2 and give q.\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.16 - -4.16. Let r = 0.01 - 0.21. Let q = 31\/203 + -2\/203. Put q, z, 3, r in descending order.\nAnswer: z, 3, q, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18 + -12. Is 13 a factor of (18\/(-12))\/(z\/(-176))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1416\/6018)\/((-2)\/3*(-10 + 1)).\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*c + c + j, 0 = 5*c + 5*j. Suppose v - 3 = -6, -5*f = -c*v - 139. Suppose 4*b + 6 = f. Solve 0 = b*p - 3*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**3 - 6*x**2 + 0*x**3 + 0*x**3 + 6*x - 3. Let g be i(-7). Suppose g*a = -a + 45. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 5) to base 10\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = -2*g. Suppose 2180*q - 30 = 2186*q. Which is the biggest value? (a) q (b) -2\/9 (c) -9 (d) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 473301285 - 5?\nAnswer: 473301280","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 891 + -831. Suppose a - 10 = 5*t, 4*a + 56*t - 24 = s*t. Solve i + 20 = a*p, -30 = -2*p + 3*i - 7*i for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 + 33?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -5, -82, -15, 1\/2, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**3 + 15*a**2 + 108*a + 879. Calculate w(-12).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from {a: 1, k: 3}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the second derivative of -b**3\/2 - 5*b + 6. Let a(p) = 3*p**2 + 1. Let l(q) = -q**2 + 1. Let m(r) = -a(r) + l(r). Calculate o(m(w)).\nAnswer: 12*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -1\/4, -1.8, -0.4, 0 in decreasing order.\nAnswer: 0, -1\/4, -0.4, -1, -1.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -54676 (base 12) to base 15.\nAnswer: -230b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 5*w**4 + 8*w**3 - 11*w**2 + 2. Let m(c) = 7*c**4 + 6*c**3 - 10*c**2 + 3. Let h(d) = -2*m(d) + 3*n(d). Find a, given that h(a) = 0.\nAnswer: -13, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88191 a multiple of 239?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) -21\/5 (c) 6\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68 = 50*i - 268. Let l(w) = -2*w**2 + 3*w - 2. Let t(z) = -3*z**2 + 4*z - 3. Determine i*t(q) - 5*l(q).\nAnswer: -2*q**2 + q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -65625 + 693196874\/10563. Which is smaller: 0 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*y - y - 2969 - y**3 + 2964 to w*y**3 + s + l*y + o*y**2 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6 - (0 - (5 - 5)). What is the tens digit of 172 + (-21)\/14*16\/y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1468 or -1526?\nAnswer: -1526","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 21507457 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.2192 * -1699.5\nAnswer: -372.5304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1765711272?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -38\/189125 and -52\/187.\nAnswer: 2080375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1640 and 22?\nAnswer: 18040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 958 - 955. Suppose 3*f = 7*f. Put f, o, -3 in decreasing order.\nAnswer: o, f, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -8*c**3 - 6*c**2 - c. Let h be (-50)\/(-18) - (-30)\/135. Let t(i) = i + i**2 + 0*i**2 + 7*i**h - 4*i**2 + 8*i**2. What is -6*o(m) - 7*t(m)?\nAnswer: -m**3 + m**2 - m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 5*d - 12, -5*q + 8 + 22 = 5*d. Are q and 17\/5 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 5 = 3*g, 0*m = 2*g + 3*m - 10. Let c be ((-1)\/3)\/(g\/36). What is the highest common factor of c and 132?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:13 AM and 5:57 AM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/(-16) + (-27)\/(-36). Let d = 1 + 3. Put r, 0, d, -3 in increasing order.\nAnswer: -3, 0, r, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 9*t**5\/7 + 24*t**4 + 81*t**3\/7 - 522*t**2\/7 - 660*t\/7 - 216\/7 = 0?\nAnswer: -18, -1, -2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1436150093 to the nearest integer?\nAnswer: 37897","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c. Let z(f) be the first derivative of 0*f - 1 - 1\/2*f**2. Determine x(z(a)).\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = z + 3*v + 1, -3*z + 4*v = -21. Suppose -z = 2*s - 7. Solve p - s*y = 8, 3*p + 5*y + 5 = -4 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-264)\/10 - (-2)\/5. Suppose -16*h - 45*h = 16*h + 2079. Which is bigger: h or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21 - (22 - ((-23 - 14) + 23)).\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3351 divided by -4.\nAnswer: 3351\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-275)\/110*-2)\/((-20)\/308).\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -4*x**3 + 5*x**2 - 2*x**3 + 7*x**3 + 0*x**2 - 3*x**3. Let r(w) = -w**3 - w**2. What is -f(k) - 2*r(k)?\nAnswer: 4*k**3 - 3*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhhhhhehkhehhhhhhhe. What is prob of sequence eh?\nAnswer: 12\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + -18 + (168 - 33 - 26)?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*h + 6*h + 7*h + (2 - 2 - 2)*(h - 2*h + 0*h).\nAnswer: 13*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 102 - 59. Let h(w) = w**3 - 10*w**2 - 13*w + 49. Let z be h(13). Calculate the highest common divisor of z and y.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes before 7:24 AM?\nAnswer: 8:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*o**5 + 38*o**4 + 277*o**2 - o wrt o?\nAnswer: -120*o**2 + 912*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-three fifths of a millennium in decades?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -137361 and -0.01.\nAnswer: 1373.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -44044552 (base 7) to base 9.\nAnswer: -7084654","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -63456, -126795, -190134, -253473, -316812, -380151?\nAnswer: -443490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -4*(3*(sqrt(180) + 0 + sqrt(180) + sqrt(180)) - (-3*sqrt(180) + sqrt(180))*5)**2*3.\nAnswer: -779762","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 3*d - 1 - 8 = 0, t - d - 7 = 0. Calculate the least common multiple of 73 and t.\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**3 - 5*d**2 - 6*d + 6. Let y be t(6). Let v = 4324 - 4319. Factor 12*w**2 - 2*w - 6*w**2 - 3*w**4 - 1 - 2 + 3*w**5 - y*w**3 + v*w.\nAnswer: 3*(w - 1)**3*(w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-9)*3)\/((748\/(-330))\/34)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (40\/48*49\/(-35))\/(6\/(-24)).\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -45 - -40. Let q be (o + 4)\/((-4)\/(-92)). Let k = q + 162. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrukrjrrdrrrrurdr. Give prob of picking 1 u and 1 k.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5785 + 49?\nAnswer: 5823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cjzc. Give prob of sequence zc.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*k**2 + 0*k**2 + 0*k**2 + (17625*k - 34557*k + 17580*k)*(2 - 2 - 3*k) to the form u*k + i*k**2 + h and give i.\nAnswer: -1942","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15156176.\nAnswer: 2, 7, 131, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -46.9032 - 0.0968. Which is greater: -1\/78 or g?\nAnswer: -1\/78","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3\/4 (b) -3 (c) -1 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 13a (base 15) in base 7?\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -22, 2\/7, 7\/2, -1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are 3\/241 and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 18*l - 22*l**3 + 25*l**3 - 48*l - 9*l**2.\nAnswer: 3*l*(l - 5)*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 2 u when three letters picked without replacement from {v: 4, h: 3, m: 1, u: 4, d: 4}.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 8439 a multiple of 291?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 + 1. Let v = -2\/15 - 1\/5. What is the nearest to -1 in t, v, -0.3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 41*f + 746. Give s(-18).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 2*n + 2 = 0, 2*q + 1265 = n + 1266 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.207677826 + -0.5.\nAnswer: -0.707677826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times -4258\nAnswer: -425.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:52 PM and 8:12 PM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14 (base 5) to base 9.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 128*r**3 - 5*r**2. Let k(g) = -63*g**3 + 2*g**2. Give 6*f(d) + 15*k(d).\nAnswer: -177*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -3029 at most -3027?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 185469 to the nearest integer?\nAnswer: 431","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 16) to base 8\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1086 and 278758281?\nAnswer: 543","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fjfffjjfffffjjjjjj. Give prob of sequence fjff.\nAnswer: 21\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -2\/163 (b) -1\/7 (c) -0.4 (d) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 7) to base 11.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i = 2*i + 3*k + 20, -i - 4 = -5*k for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 839.\nAnswer: 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 11*f - 41. What is the units digit of v(19)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1653 + 0 + -65 + 78. Calculate the greatest common divisor of u and 1190.\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 7, o: 2, d: 5}. What is prob of sequence dodd?\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 2*l**2 - 20*l + 3. Let x be (-1)\/((-2)\/2) + 15. Let h = 27 - x. Calculate the remainder when h is divided by c(10).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o + 6. Let u be s(4). Suppose 8 + 4 = m - u*g, 0 = -2*g - 10. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -54 + 119. Let q = 64 - o. Let y = -0.8 - -1.1. Which is the third smallest value? (a) -4 (b) q (c) y (d) 2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -k - 1 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 342 (base 5) to base 8\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 69\/46*(-4)\/(-10).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 + -8. Suppose -5 = 7*z - 6*z. Which is the second biggest value? (a) z (b) 7\/5 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l - 2. Let s be m(-7). Let f(b) = -8*b + s*b - 7 + 4*b + 2. Let d be f(9). Solve -4*p + 3*u - u - 10 = 0, d = -3*p - 2*u for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the first derivative of -n**5\/15 + 5*n**4\/12 + 5*n**3\/9 - 15*n**2\/2 + 12*n + 254. Suppose i(a) = 0. What is a?\nAnswer: -3, 1, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 170, 338, 506?\nAnswer: 674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**3 + 7*z**2 - 3*z - 1. What is f(3)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 13961765?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (39*i**3 + 0 - 43*i**3 - 2)*(-3 + 5 + 1 + 1 - 2 + 3 + (-5 + 0 + 3)*(1 - 3 + 0))*(5*i + 8*i - 23*i).\nAnswer: 360*i**4 + 180*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggg when three letters picked without replacement from gyggyyyyggggg?\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 1155*k**2 + 3*k. Let p be b(-2). Suppose 0 = -3*f - 3*f + p. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2\/7 (b) 5 (c) -0.3 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 24\/271 + 151\/1355. What is the third smallest value in -0.5, 2, f, -4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c + 1. Let m(u) = 3*u + 3. Let b be 3 + -1 + -5 + 6. What is b*m(j) - 8*d(j)?\nAnswer: j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + s**2 - 2*s**2 - 4 - s**2 in the form i*s**2 + a*s + v and give v.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -12*r**3 + 9*r + 8. Let d(b) = 11*b**3 - 8*b - 7. Give -6*d(p) - 5*x(p).\nAnswer: -6*p**3 + 3*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6 - (-182)\/(-39) - 2. What is the nearest to 0.2 in 2\/63, t, 0.5?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 798 and 966?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*w = -51*w + 966. Is 11 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -3*a - 14. Let n(i) = 4*i + 18. Let t(l) = 2*n(l) + 3*r(l). Let d(k) = k + 8. Let f(h) = -4*d(h) - 6*t(h). Calculate f(-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 31\/21 - 1469\/42. Let j = 103 - 148. Find the common denominator of 1*-3*39\/j and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9*s - 3*s**3 - 9*s)*(4*s + 3*s + 9*s)*(8 - 14 + 1) to the form h*s**2 + u*s**4 + x + l*s + t*s**3 and give u.\nAnswer: 240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let 7556*i**2 + 163*i**4 - 42336*i - 11*i**5 + 6210*i**3 - 43844*i**2 + 12*i**5 = 0. What is i?\nAnswer: -84, -1, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 671812?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**2 + 32. Let y be (-22)\/(-8) - 2\/(-8). Suppose y*f = 7*f. Let z be a(f). What is the greatest common divisor of z and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -161 - -159.06. Let a = o - -1.84. What is the third biggest value in a, -0.068, 2\/5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/(-3*(-3)\/42). Suppose -5*f + 2*q = -z, f - 5 - 3 = q. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1086 a factor of 68631942?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes before 3:36 AM?\nAnswer: 9:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13847 + -13849.60032. Let y = o + 2.6. What is y rounded to four decimal places?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ipkp when four letters picked without replacement from ppik?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + 51 = 9*l, -4*v + 2*v - 59 = -3*v - 7*l - 14 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = g - 11, g = 5*t + 8 + 4. Suppose -g*o - 6*o = -18707. Is o a multiple of 61?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tz when two letters picked without replacement from {t: 1, z: 2, l: 1, q: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -18 (b) -26 (c) 180\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -107619\/15680 + 549\/80. Let j = n + -76805\/28224. Find the common denominator of (2\/8)\/(10\/(-102)) and j.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3968064 to the nearest integer?\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4\/3)\/(10 - (-3036)\/(-306)). Suppose -o*m - 9*m + 442 = 0. Let x = 12 - 6. What is the least common multiple of m and x?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-28 + 32 - 34)*(-2 + 2 + 4*k**2).\nAnswer: -120*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of 24 and 25.\nAnswer: 600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.096 + -66.096. Let g = -66.035 - k. Let c = g + -4.965. Sort 2\/21, c, -2 in descending order.\nAnswer: 2\/21, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10 - -16. What is the third derivative of 3*n**3 - 3*n**3 + 11*n**2 - a*n**6 - 17*n**2 wrt n?\nAnswer: -720*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b\/(b**(1\/4)\/b))*b**(1\/3))\/(b*b*(b**(-1\/3)*b*b*b)\/b)**(-1\/10) assuming b is positive.\nAnswer: b**(-1\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3451 + -2?\nAnswer: -3453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f + 2*r = 65, 8*r - 25*r + 37 = 2*f - 14*r for f.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -9976 greater than or equal to 11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-15)\/(-6))\/(-5)*-156. Suppose 3*k - p = -5*d, 2 = 4*d + 3*k - 58. Which is bigger: 19 or d?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 108 - 0.6\nAnswer: 107.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.5 (b) -5 (c) 0.06 (d) -0.3 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 109, -39, -449, -1253, -2583?\nAnswer: -4571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -3 (b) -0.5 (c) -7 (d) 83\/4 (e) -11 (f) 6 (g) 0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 - -4. Let j = -1 + 2. What is the closest to j in -0.1, l, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 411484515 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 2*f**3 + 2 + 0*f**3 + f**3 as w*f**2 + z + u*f + b*f**3 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 + -3. Let k = -7 - q. Suppose -p - 9667 = -9703. What is the highest common factor of k and p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + 10 + 1 = 4*g, -g + 8 = q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 16839246829 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7701 is divided by 641?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 + (-676)\/(-91))*(7140\/(-18))\/(-5)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 6 times -4.38348\nAnswer: -26.30088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 1 q when three letters picked without replacement from {o: 1, f: 2, q: 4, t: 6}?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -232202a (base 12) to base 14\nAnswer: -c80b3c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 4*s**3 + 8*s**2 + 3*s - 3. Let o(r) = r**2 + r - 1. Let a(n) = -2*n**2 - 220*n + 1885. Let d be a(8). Calculate d*o(x) + t(x).\nAnswer: 4*x**3 + 5*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3385246493 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1617475 (base 11) in base 8?\nAnswer: -12423227","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.0281 + 0.2869. Let a = -0.31 + t. Round a to 4 dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -2*o**3\/9 - 41972*o**2\/9 - 220206098*o\/9 = 0?\nAnswer: -10493, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2021 (base 7) to base 6.\nAnswer: -3125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (16*v**2 + 4 + v**3 + 9*v**2 - 18*v**2)*(-3*v + 9*v - 2*v) to the form c*v**4 + p*v**3 + t + s*v + n*v**2 and give p.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 3*y = -2*y, q - 5*y = -16. Put 5, q, 1 in increasing order.\nAnswer: 1, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the third derivative of d**5\/60 + 5*d**4\/12 - d**3 + 39*d**2. Let u be v(-11). Sort 4, 18, u in descending order.\nAnswer: 18, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -2*c + 68. Let h(v) be the second derivative of -v**4\/12 + v - 23. What is o(h(s))?\nAnswer: 2*s**2 + 68","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1825 or 1812?\nAnswer: 1812","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2059798415?\nAnswer: 5, 11173, 36871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7628.\nAnswer: 2, 1907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 30\/4*(-2 + 112\/40) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 145313*c**3*w + 10611327*c**3 - 12*c*w with respect to w.\nAnswer: 145313*c**3 - 12*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 - -3. Let x = k + -1.8. Which is the smallest value? (a) 5\/3 (b) x (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 252\/31 - 5659\/372. Calculate the common denominator of -137\/6 and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 34211558*u**2 + 51707762*u wrt u.\nAnswer: 68423116","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 713?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3072985406?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the first derivative of 2*f**5\/5 + 13*f**3\/3 - 7. Find the third derivative of i(d) wrt d.\nAnswer: 48*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -8*-11*(-11)\/484 - -4. Solve -12*d = 3*p - 11*d - 13, 5*d = -h*p + 13 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 266 and 112?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 24 = -3*v + 147, -5*v = -4*w + 91. Let g = w + -13. Let u(r) = r**3 + 3*r**2 - r. Calculate the smallest common multiple of g and u(-3).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/553539 and -59\/4981851.\nAnswer: 4981851","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the first derivative of o**4\/16 - o**2\/2 - 18. Factor b(i).\nAnswer: i*(i - 2)*(i + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 56526.327 to the nearest one thousand.\nAnswer: 57000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15 - -15. Suppose j = -19*o + 16*o + 1782. Suppose -210 = -4*u + o. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*s + 103 = 76. Solve -11 = s*g - 14 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**3 - 6*n**2 - 28*n - 8. Let p(b) = 7*b**3 - 41*b**2 - 194*b - 54. Let f(i) = 2*p(i) - 15*w(i). What is f(11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-56)\/40 + 4\/10. Let s be 46\/3 + z\/3. Is 417\/5 - 6\/s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 153 and 170?\nAnswer: 1530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120 = -33*l + 29*l. Calculate the greatest common factor of l and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -166*w + 36 = -162*w. What is the lowest common multiple of 18 and w?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 4, -0.85, 94, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - k = 3*i - 3, 2*i = -5*k + 15. Which is the nearest to 1\/2? (a) -3\/7 (b) 0.5 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121680 divided by 6?\nAnswer: 20280","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12 - 15. Let p be 12\/18 + (-19)\/g. Let k(l) = 216*l**3 - 3*l**2 + 8*l + 3. Let n be k(p). What is n rounded to the nearest ten thousand?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 82129.\nAnswer: 82129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.87 - -0.87252. What is s rounded to four decimal places?\nAnswer: 0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(98) - ((sqrt(98) - (sqrt(98) - sqrt(98)*-2)) + sqrt(98))) + sqrt(98))\/sqrt(7))\/(sqrt(49)\/(-2*sqrt(7))).\nAnswer: -6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + -16 + 9 + 4 + -10 + 3?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 4) in base 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -5*h**3 + 2*h**2 - 1. Let x be a(-1). Suppose 18 = 2*j + 2*q, -4*j + 12 = -2*j - q. Let k = -5 + j. Solve 0 = -k*w - 2 - x for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.13? (a) 1 (b) -5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -270*p**2 + 68*p**2 + 66*p**2 + 65*p**2 - 13 + 69*p**2.\nAnswer: -2*p**2 - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + 5*i = 30, 0 = 4*a - 3*a - 2*i + 9 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes before 8:13 PM?\nAnswer: 6:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*a + 2*a + 36. What is the smallest common multiple of a and 4?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -13*x. Let s(l) = 120857243 - 873*l**2 - 120857243. What is s(y(p))?\nAnswer: -147537*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 146380.71 months to millennia.\nAnswer: 12.1983925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 3 = -9. Let t be 2\/(-33)*-3 + (-256)\/(-44). Let f be t\/(-3 + (-27)\/p). Solve -f*o = o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*6*(-6*((sqrt(891) + (sqrt(891) + -1 - sqrt(891)) + sqrt(891))*-1 - (-2*sqrt(891) + sqrt(891) + 5)))**2*3.\nAnswer: -2350944 - 186624*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 - 1. Let v be -3*(-2 + j) + 1. Suppose -68 = 9*n - v*n. What is the tens digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -142, -12, 3 in ascending order.\nAnswer: -142, -12, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -75, 13639\/5, 5?\nAnswer: 13639\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes before 9:57 PM?\nAnswer: 2:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*l + 2*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000833305972 to five decimal places.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 20\/(-10) - 7\/(-1). Solve -m + z*m = 12 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*j**2 + 12*j + 3*j**2 + 7*j**4 - 13*j + 10*j**4 to v*j + p + y*j**4 + t*j**2 + b*j**3 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2 - -6*(1 - (-48)\/(-81)). Let s be (-14)\/(-105) + 68\/90. Factor b*n**3 - s*n**2 + 0*n + 0.\nAnswer: 4*n**2*(n - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.8 - 3.2. Let i = -90 + 89.9. Which is the closest to i? (a) m (b) -1 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4474338?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5328*o**3*p**5 + 2*o**3*p**2 + o**3*p - 11*o**2*p**2 - 14*o*p**5 - 2*p**2 + 1918*p wrt p.\nAnswer: -319680*o**3*p**2 - 840*o*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -492 (base 11) to base 12.\nAnswer: -409","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/5*(0 + (-15)\/(-9)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6989\/34 + 413\/2. Let a + 8\/17*h - 4\/17*h**2 - 2\/17*h**3 = 0. Calculate h.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.5 - -0.4. Let q = -4.13 + -0.47. Let z = -5 - q. What is the third smallest value in m, z, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 2 q, and 1 z when four letters picked without replacement from qqgaqaozogzzeg.\nAnswer: 18\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**1*p*p**2*p\/(p*p**(-3\/2))*p*p\/(p\/(p*(p*p**(-1\/11)*p)\/p)))\/((p*p**0*p*p*p)**50*(p\/p**(-2\/3))**31) assuming p is positive.\nAnswer: p**(-16055\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 580, 783, 1064, 1423, 1860, 2375?\nAnswer: 2968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 146827?\nAnswer: 29, 61, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6332661?\nAnswer: 3, 37, 2113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5505 is divided by 302?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 24, p + 1716654 = 27*f - 29*f. What is p rounded to the nearest 10000?\nAnswer: -1720000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 31151\/161 - -1428\/23. Let y = m - 255. Which is the second biggest value? (a) -3 (b) y (c) 2\/7 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((5 - 2) + -10)*1.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 200 and 3125?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -l + 3*l + 24*l**2 + 30*l**4 + 0*l**2 - 34*l**4 to a*l**3 + o*l + x*l**2 + d*l**4 + k and give d.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 295, 1187, 2675, 4759?\nAnswer: 7439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 133 + 33021?\nAnswer: 33154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 115 - 107. Suppose -13*i = -17*i + z. Let a(n) = -n**3 + 5. Let c(o) = 2*o**3 + 3 + 2 - 9 - 2. Give i*c(h) + 3*a(h).\nAnswer: h**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 3*l**2 + 8*l - 3. Let c(b) = -4*b**2 - 9*b + 4. Let i(u) = 5*c(u) + 6*j(u). What is i(3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-6)\/9)\/((-2)\/9). Suppose 0 = b*s + 4 - 1. Let k = s + 2. What is the closest to k in 3, 0.4, 5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*c + 65*c - 4260 = -26*c for c.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jojoomolovsmoooojm. What is prob of picking 1 v, 2 m, and 1 l?\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -250 + 253. Let j = u + -3.03275. Round j to three dps.\nAnswer: -0.033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3.688 and -0.1?\nAnswer: -0.3688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 20*p**2 - 657*p - 120. Give h(33).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8*z**2 - 6 - z**3 + 8*z**2)*(26 - 11*z - 26 - z - 4 + 4 + (-4 + 2*z + 4)*(2 + 0 - 4) + 4 - z - 4) to n*z + q + u*z**2 + o*z**4 + i*z**3 and give o.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in eleven eighths of a week?\nAnswer: 13860","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 98384 and 150644351?\nAnswer: 6149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -189 = -9*h + 6*a - a, -4*h - 2*a = -7*a + 4524 - 4708 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12179 - -12150.924. Let c = x - -26.9. Let o = -0.016 - c. What is o rounded to 1 decimal place?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h + 25 = 13*h. Suppose -2*a + 16 = 2*b, 2*b - 5 = -h*a + 29. Suppose 3*j + 102 = a*j. What is the greatest common divisor of j and 374?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2da1b (base 15) to base 16.\nAnswer: 23fc9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*z**3 - 4*z**3 + 7*z**3 + 3*z**2 + (2*z - 5*z + z)*(-2*z**2 + 3*z**2 + 14*z**2) to the form t + f*z + d*z**2 + o*z**3 and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -669, -665, -663, -663, -665?\nAnswer: -669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) -7.7 (b) -124 (c) 5 (d) -140\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 + (138\/138)\/(2\/52)?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, x: 1, f: 1, p: 2}. Give prob of sequence nx.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 0 = 20. Suppose j = p - 2. Let -2 + 2*q - 4*q**3 + 6*q**2 - 2*q**2 + 5*q**5 - 2*q**4 - j*q**5 = 0. What is q?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14236 is divided by 14214.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.01 - -4.99. Let r = -14 - -14.2. Which is the nearest to r? (a) 4 (b) w (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 46*l**2 + 1473*l + 6. What is z(-32)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-15)\/(i**2\/i*i))**(-4)*(i**(-2\/17)\/i*i*i\/(i*i**(2\/11))*i)**(-11\/3) assuming i is positive.\nAnswer: i**(3337\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d - 2*b + 15744, -b + 6297 = 15*d - 13*d. Is d a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes after 12:45 AM?\nAnswer: 8:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**3 + 4*k**2 + 4*k - 1. Let s be h(4). Suppose 2*m + s = -5*b, b + 49 = -3*m - 6. List the prime factors of (1 - 6\/4)*m.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 385937 is divided by 192964?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the first derivative of -5*m**3\/3 + 16*m + 1. Suppose -3*y - 8 = -4*d - 64, -5*y - 13 = 3*d. Let a(x) = -x**2 + 3. Give d*a(k) + 2*b(k).\nAnswer: k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3127 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6600000)\/2*(-12)\/18. What is n rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 688?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1839320971 to the nearest integer?\nAnswer: 42887","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l. Let k = 461 - 454. Let g(h) be the second derivative of -11\/6*h**3 + 0*h**2 + k*h + 0. Calculate g(a(o)).\nAnswer: 11*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(1300) + 5*(sqrt(1300) + sqrt(1300)*-1) + sqrt(1300) - -3*(-1 + sqrt(1300))))**2.\nAnswer: -10800*sqrt(13) + 1170324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 157\/68040 and 89\/3780?\nAnswer: 68040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h = -2*a - 10, -5*a - h - 10 - 38 = 0 for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (69 - 1 - ((-1 - (-7 - -5)) + 7))?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -21458*f**5 + 4*f**4 + 230684*f.\nAnswer: -429160*f**3 + 48*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l and 1 q when four letters picked without replacement from {w: 10, q: 3, m: 3, l: 3}?\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68*o = -64*o + 160. Let c = o + 43. Solve -c*l + s = 0, -2*l = -6*l + 5*s for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, 46\/3, 0.37 in descending order.\nAnswer: 46\/3, 15, 0.37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 v when two letters picked without replacement from {b: 1, v: 8, q: 4}?\nAnswer: 16\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 1008 = -4*m, -2*m + 357 = -4*w - 147. Suppose b - 5*b = -m. Let j be (-4)\/(-14) - (-47)\/7. Calculate the highest common factor of j and b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19381.93 - 19242. Let k = -140 + l. Put k, -5, 3 in decreasing order.\nAnswer: 3, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let k be (2 - -1)\/(6\/10). Suppose -3*s - 14 = -3*n - 2, 2*n - k = -s. Suppose 4*o - 8 = -b + 2*b, 5*o = n*b + 10. Solve 16 = 4*u - b*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -100 + -154?\nAnswer: -254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 6\/14329 and 121\/2181746?\nAnswer: 50180158","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.07 - 81955469.5408.\nAnswer: -81955469.6108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3195 - 3190. Is 16.9 < u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 2 + 4*v**2 - v + 0*v + 2*v - v**3. Suppose -3*f + 8 = -d, -2*f + 20 = 3*f. Give b(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3050 - -3050. Is n at most 10\/559?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 241 + -234. Calculate the greatest common factor of 63 and r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:21 AM and 8:54 AM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 10 = 5. Suppose 4*h + 0*h = 8. Let k = 528 + -529. Put h, k, b in increasing order.\nAnswer: k, h, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -885*b + 48729 = -53*b - 5158 - 41793 for b.\nAnswer: 115","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 55 - 11. Suppose 5*r + 2*b = q, -r + 2 = -b - 3. Differentiate -1 + 0 + 2*o**r + 0 wrt o.\nAnswer: 6*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.6? (a) -4\/9 (b) 549 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 41, -22, 50, 5, -5, -4 in decreasing order.\nAnswer: 50, 41, 5, -4, -5, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 132 bigger than 263\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 12 = -2*n. Let p(z) = z**3 - 4*z**2 - 2*z - 1. What are the prime factors of p(n)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 153999\/26 or 2?\nAnswer: 153999\/26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -8c (base 14) in base 10?\nAnswer: -124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(5 + sqrt(147) + -2*sqrt(147))**2*5.\nAnswer: -1050*sqrt(3) + 2580","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 102 - 12 = 0. Find the common denominator of 3\/3 - 19\/22 and 862\/(-72) + y\/(-171).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 201.7 - 211. Let u = d + 9.6. Let f = 535\/209 - 27\/11. Which is the second biggest value? (a) f (b) -0.1 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2*r + (7*r + 4*r - 5*r)*(-2 + 4 - 1))*(-112*r - 31*r**2 + 112*r).\nAnswer: -124*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.4 - 2.7. Let r = g - -3. Let f be 5\/(-2)*(36\/(-20) - -2). Which is the third biggest value? (a) f (b) r (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -19*o + 2. Suppose -5*c - 5*n = -95 - 0, -2*c + 3*n + 13 = 0. Suppose -c*x - 15 = -11*x. Is j(x) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 438, 453, 114, -567, -1578, -2907?\nAnswer: -4542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3578 - 3572. Solve -2*n - 12*c + 8*c - b = 0, 0 = -5*n + 3*c + 11 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 2561901413 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u + 12. Let a be 8\/(5*1\/10). Let f be v(a). Suppose 2*x - 5 = -4*g - g, -2*x + 5*g = -15. Put f, x, 2 in decreasing order.\nAnswer: x, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/3, -0.78, -3, 1\/3, 0.308 in descending order.\nAnswer: 1\/3, 0.308, -0.78, -5\/3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 610.63842 days?\nAnswer: 87.23406","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - q - q - 2 - 6*q**2.\nAnswer: -6*q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + ((-2*-2*sqrt(153))**2 - sqrt(153)) + -2*(2*sqrt(153))**2)*-3 + -2)*6*5.\nAnswer: -110670 + 270*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**3 - 48*v**2 + 380*v - 275. Let t be p(-55). Solve 7*o - 6 - 8 = t for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 680 is divided by 137?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from amaimxmamm. Give prob of sequence am.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54766980 = -98*p - 14402446. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 + -0.4. Let d = 0.3 + 2.7. Which is the nearest to 1\/2? (a) -0.2 (b) o (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2 - 4774.\nAnswer: -4773.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**3 - 49*i**2 + 313*i - 15. Calculate o(40).\nAnswer: -1895","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 4*o - 3*o + 5 + 6*o + o**2. Let g be u(-7). Suppose -p = -5*x + 14, g*x - 18 = -3. Solve 3 = -v + p for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 471473, 942966, 1414459, 1885952, 2357445?\n\"Answer: 471493*p - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8037*b - 9508*b - 233024 = 10115*b + 682270 for b.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4000224 to the power of 1\/3, to the nearest integer?\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7427 and 10610?\nAnswer: 74270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the third derivative of -3\/32*z**4 + 0*z + 7\/12*z**3 - 64*z**2 + 1\/240*z**5 + 0. Determine r so that k(r) = 0.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1189 - -1189.02. What is the closest to 0.1 in x, 2, 0.06, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(-33)*c)\/c)**(1\/2)*(c**(8\/5))**(-41))**2 assuming c is positive.\nAnswer: c**(-821\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**2\/4 + 21*y\/2 - 441\/4.\nAnswer: -(y - 21)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, 752, 1, -2, -1 in increasing order.\nAnswer: -19, -2, -1, 1, 752","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -21\/3020 and -173\/11873130.\nAnswer: 23746260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j - 4*j + 2*j)*(-3 + 8 - 1) - j + 8*j + 11*j.\nAnswer: 22*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3163.6 + -3164. Let z = -0.01 + 0.41. Which is the third smallest value? (a) z (b) 7 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2685 - -2324. Suppose -3*x - 2*s = -15006, s = -x - 2*s + g. What is x rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 2*f + x - 6, -2*f - 5*x - 13 = 0. Sort f, -3, -5, -4251.\nAnswer: -4251, -5, f, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19736008 by 29.\nAnswer: -680552","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 675\/4 - 270667\/1604. Let h = -731 - -735. Suppose 2*g = m + h, 5*m + 10 = 7*m + 5*g. Is m at most as big as o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2819 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15 + 15.002. Let r = 4.002 - j. Let f = -6 + 4. Which is the closest to f? (a) 5 (b) r (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -34 at most -0.5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**2 + 10*n + 63. Calculate q(16).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*1153.8885\nAnswer: 346.16655","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -i - 2*i + 21*i - 4*i - 3 + 3 - 2 + i + 2 + (0 - 3 + 2)*(-2*i + 0 + 0) + 4*i + 7*i - i in the form w + t*i and give t.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1566401?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -640 divided by 6?\nAnswer: -320\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/4 (b) -5 (c) 443\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 23002 and 742?\nAnswer: 742","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, x: 1, v: 1}. What is prob of sequence xvh?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 165943690?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -5*q + 5. Suppose -4*d = 5*z - 6, q*z + 2*d = 4 - 2. Put -1, z, 3, -5 in decreasing order.\nAnswer: 3, -1, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 363759154 a multiple of 126?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 68272 and 170.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - n - 13, 4*m - n - 1 = 42. Suppose -3*s + 4 = 3*h - 4*h, 0 = -2*h + m. Is s even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u. Let f(r) = -r**3 + 4*r**2 - 2*r - 4. Let n be f(3). Let y be m(n). Does 7 divide y\/(-4) + 1215\/36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**3 + 5*m**2 - m - 3. Let r be s(-5). Suppose -d = 4, -5*c + 3*d + r*d = -55. What is the remainder when 18 is divided by c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 77 and 0.1?\nAnswer: 7.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -163.5 + 164. Put x, -2\/17, -2\/47 in descending order.\nAnswer: x, -2\/47, -2\/17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 350 or 5942\/17?\nAnswer: 350","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + -20 + ((-11 - -5) + 10 - 2)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 53.12 + -53.42. Let o = 1 + -2. What is the third biggest value in 46, s, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**3 + 41*c + 24. List the prime factors of g(-10).\nAnswer: 2, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -139*m - 168. Let h(k) = -51570*k - 62370. Let b(g) = 4*h(g) - 1485*q(g). Let j(f) = 17*f. What is j(b(d))?\nAnswer: 2295*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2028176523 to the power of 1\/6, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-55)\/(-198)*30\/(-150)?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -3*l**3 + 2*l**3 - l + l**2 - 4 + 2 + 1. Let f(y) = 3*y**2 - 2*y - 1. Give 2*c(k) - f(k).\nAnswer: -2*k**3 - k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12360711*h**3 - h**2 + 4739*h + 38 wrt h?\nAnswer: 74164266","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, m: 1, s: 1}. Give prob of picking 1 m and 1 d.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4269?\nAnswer: 3, 1423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes before 8:02 PM?\nAnswer: 4:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 136954.\nAnswer: 2, 68477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -227\/345 + 4\/69. Let h = 0.1734 - -0.0266. What is the closest to -1 in 0.1, c, h?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 399*g - 1151*g + 378*g + 406*g.\nAnswer: 32*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u**2 - u**2 - 6*u**2)*(u**2 - 4*u**2 - 3*u**2).\nAnswer: 24*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2405?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -21996\/2531? (a) -0.07 (b) -5 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3351 is divided by 80.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1367101454 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 53 + (-118 - -19) + (-25 - -5).\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 65.299 times 5?\nAnswer: 326.495","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x + 18 + 10 = 0. Let h be (16\/2 + -2)\/((-6)\/x). Let o(s) = 3*s + 9. Let a be o(h). Let i(p) = p**3 + p**2 - 2*p + 3. Determine i(a).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 143291, 142618, 141945, 141272?\n\"Answer: -673*n + 143964","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 28 + (16 - 21) - 13\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00893 rounded to two dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -314 + 324. Solve 2*x + 10 = -3*k, -3*x - h = -k - x for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -13*s. Let f(x) = -9*x + 2. Let j(d) = -143*d + 33. Let p(w) = -33*f(w) + 2*j(w). Give p(m(n)).\nAnswer: -143*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*n + 7*n - 3*n**2)*(5 + 6 - 5)*(n**2 - 2*n**2 - n**2) - 7*n - 7*n**4 + 7*n + (4*n**3 - n**3 - n**3)*(-2*n + 0*n + 0*n) + n**4 - n**4 - 2*n**4.\nAnswer: 23*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -16 + 3240\/204 - (16812\/153 + -13)\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(567)*-2*2 + -1 + sqrt(567) + -1 + 5)**2*-1.\nAnswer: -5112 + 162*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 117 a factor of 869042?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.19348 - 0.09348. Which is the closest to 0.1? (a) -4 (b) n (c) 0.3 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-20)\/6*1*21\/(-14). Let h be k + -2 - -2 - 0. Let w(v) = 2*v**2 - 7*v + 2. What is w(h)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 4*v - 324 = 0, b + 5*v = 72 - 3. Which is smaller: b or 66?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the third derivative of 0*x + 5\/24*x**4 + 2*x**2 + 0 + x**3 - 1\/60*x**5. Factor t(u).\nAnswer: -(u - 6)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 202?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0.1, -1.7, 9186, 3, -0.1, 5?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**3 - 24*m**2 - 218*m + 35. Let r be o(31). Solve -2*h = -2*b, -r*h + 4 = 242*b - 244*b for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 52640282?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5746 or -5743?\nAnswer: -5746","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (10\/(-75))\/((-4)\/(-12)). Put 0.4, 3, z in increasing order.\nAnswer: z, 0.4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14323709, 57294815, 128913327, 229179251, 358092593?\nAnswer: 515653359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 p when two letters picked without replacement from pppppzpzzppp?\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2 - 2)\/(-7 - -6). Solve -l - 5 = 0, -5*n - 2*l + 3*l - 15 = v for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-18)\/4 + 2)\/(3\/(-6)). Let m = -13 - -24. What is the third derivative of b*x**5 + m*x**2 - 30*x**2 + 18*x**2 wrt x?\nAnswer: 300*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -98 - -295\/3. Which is the smallest value? (a) m (b) -1 (c) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes before 5:09 PM?\nAnswer: 10:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -19969*j**4 + 2*j**2 + j - 181648 wrt j?\nAnswer: -79876*j**3 + 4*j + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that w**5\/9 - 34*w**3\/3 + 200*w**2\/9 - 11*w = 0.\nAnswer: -11, 0, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 + 27. Let t(x) = -2*x**2 + 24*x + 7. Let a = -85 + 97. Let f be t(a). What is the greatest common factor of w and f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6752579?\nAnswer: 241, 28019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -43 + 0*j + 3*j - 6*j - 2*j + 6*j to k*j + y and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3 + -1 + (8 - 3). Let u(b) = 7 - p + b**2. Let v(n) = 7*n. Give v(u(q)).\nAnswer: 7*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cus when three letters picked without replacement from vucioosscoiisviu?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**5*s**(-2\/21))\/((s\/s**(1\/6))\/(s**(1\/7)*s*s))*(s**(2\/7)\/s*s*s**(-5))**37 assuming s is positive.\nAnswer: s**(-2355\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7994 and 2217764.\nAnswer: 15524348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -36 + 27 + (-7 - -7)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 310 or 220?\nAnswer: 220","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 256670 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: Two letters picked without replacement from {o: 2, y: 2}. What is prob of picking 1 o and 1 y?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -180*o + 922. Let u be q(5). Let n(y) be the first derivative of -245\/4*y**4 + 14*y**5 + 0*y - u - 5\/6*y**6 + 0*y**2 + 0*y**3. Solve n(g) = 0.\nAnswer: 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 2*k + 10. Let q(g) = -82*g**2. Give t(q(a)).\nAnswer: -164*a**2 + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6611 - -66213\/10. What is the common denominator of g and -61\/4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*k**2 + 6*k**2 + 2*k**2 + (-1 + 1 - 2*k)*(-1 - 4*k + 1) + 0*k**2 + 2 + 3*k**2 - k**2 to p*k**2 + n + f*k and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*z**2 - 7*z**2 + 5*z**2 + (-2*z**2 + 4*z**2 - z**2)*(3 - 1 - 1)*(0 + 0 + 1).\nAnswer: -5*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*m**2 - 1 + 2 + 0)*(-10 + 22 - 15 + (1 + 4 - 3)*(-4 + 1 + 1)).\nAnswer: 28*m**2 - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b + 5*p + 118, p = 3*b - 20 + 99. Let g(i) = 2*i**2 - 7*i. Let f be g(7). Let l = b + f. What are the prime factors of l?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (-7 - (-2 - -14) - -22)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pooppppoop. What is prob of picking 1 o and 1 p?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.5 + -9. Is -2 greater than or equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-1 + 2*d + 1)*(-6 + 3 + 2) + 10 + 4*d + 8 - 15)*(5*d - 4*d - 3*d) to t*d**2 + g*d + u and give t.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 + 7d4?\nAnswer: 7d4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*j**2 - 11216*j**4 + 16*j**2 + 3 - 44*j**3 + 11218*j**4 to p*j**3 + y*j + x*j**4 + a + t*j**2 and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(2532\/(-282) - -9) - (-2)\/(-4)*4\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7039 - 6595. Is 442 greater than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74353 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the third derivative of 7*y**4\/24 - y**3\/3 + 3*y**2. Let d = 2 - 7. Let n(r) = -10*r + 3. What is d*n(s) - 7*g(s)?\nAnswer: s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.08056 + 0.079. What is t rounded to 4 dps?\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m - m - 2*a + 8, 5*m - 20 = -5*a. Is -8\/17 less than or equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*m + 4*m - 24. Suppose -3*j = -m*j + 27. Let o(l) = -4 - l + 2 + l**3 + 2*l - 11*l**2 + j*l**2. Determine o(3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (22 + 1218\/(-29))*(0 + 6\/(-8))\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43804 + 43804 + 3*o**2.\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1327*g - 82430 = 50270 for g.\nAnswer: 100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is b62 (base 16) in base 14?\nAnswer: 10c2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 2520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 194 and 679.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(784)*-2*-2)\/(-3*sqrt(28) - -4*(sqrt(7) + sqrt(35)\/sqrt(5))))**2.\nAnswer: 1792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6941 - -12856. Is 13 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u + 3*s - 14 = -s, 4*u + 4*s = 24 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -350.496677 - -350.5. Round w to 3 dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 18457*a + 11004. Let u(d) = -6157*d - 3670. Let t(j) = 6*n(j) + 17*u(j). What is the first derivative of t(b) wrt b?\nAnswer: 6073","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 0 + 2*i**4 + 8*i - 30 + 3*i**4 wrt i?\nAnswer: 20*i**3 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 775383?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**3 + 6*t**2 - 6*t + 6. Suppose 2*o - 25 = -p, 12 = 30*p - 26*p. What is the remainder when f(-6) is divided by o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes before 8:09 AM?\nAnswer: 3:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 take away -739203644152?\nAnswer: 739203644151.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -890 + 1229. Calculate the greatest common factor of p and 113.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10001 (base 2) to base 9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 691 is divided by 181?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 0.3 (b) 5 (c) 6 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1675.92115 less than -0.1?\nAnswer: -1676.02115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 5*h**2 + 1. Let q(c) = c**2 - 10*c + 14. Let i be q(9). Suppose -v - 4 = -i*v. Calculate t(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 365809080152 and 0.34?\nAnswer: 365809080151.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -51647 - -2?\nAnswer: -51645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**3\/4 + 7491*h**2\/4 - 37530*h + 187775.\nAnswer: (h - 10)**2*(h + 7511)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*q + 60*q - 18 = 0. Let d be q\/12*1 + (-3)\/4. Suppose 2*p - 60 - 42 = d. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3480*g + 2292*g - 1918*g.\nAnswer: 3854*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22186.\nAnswer: 2, 11093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3990675\/7 - 571211. Let w = q + 124195\/112. Calculate the common denominator of ((66 - 55) + 266\/(-24))\/(33\/(-87)) and w.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the first derivative of p + 21\/2*p**2 - 65. Let y(f) = -f. Determine u(y(v)).\nAnswer: -21*v + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 4*0.27\nAnswer: 1.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11 + 16. Suppose -l = -g - 2*x + 4*x, -g + 3*x + 5 = 0. Suppose 6*u - u + 1430 = g*w, -3*w + 890 = 5*u. What is w rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 3*y**3 - 329*y**2 - 1837*y + 74. Determine j(115).\nAnswer: 419","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the first derivative of -2*q**3\/21 + 4*q**2\/7 - 6*q\/7 + 106. Factor m(u).\nAnswer: -2*(u - 3)*(u - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.8, 2\/3, 4, -15 in ascending order.\nAnswer: -15, -0.8, 2\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -70 + 67. Let j = 0.8 - 0.8. Let a = -0.05 + -4.95. What is the nearest to j in a, 0.1, k?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 2*v + 1. Give p(5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27\/4 - 7*k - 1\/4*k**2 = 0. What is k?\nAnswer: -27, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the first derivative of -13*a + 20\/3*a**3 + 9\/20*a**6 + 6*a**4 + 4*a**2 + 27\/10*a**5 + 5. Let i(o) be the first derivative of t(o). Factor i(f).\nAnswer: (f + 2)*(3*f + 2)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (18\/2)\/(((-1)\/(-5))\/((-140)\/700))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*w**2 - 2*w**2 + 27*w**2.\nAnswer: 37*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*o - o**2 - o**2 - 5 + 52*o**3 - 50*o**3 to a*o + c*o**3 + b + j*o**2 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 27 = -5*c - 3*y, 3*c - 24 = -5*y. Suppose c*q - 5*q = -16. What is the least common multiple of 22 and q?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 22\/(((-70)\/175)\/(1\/(-5))). Suppose 16*o - z*o - 242 = -c, 4*o + c = 193. Calculate the remainder when o is divided by 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - 3*r = r + 39, -2 = 2*r for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4.7 - -7.4. Let c = y + -19.7. Let d = 12 + c. What is the biggest value in 0.5, 5, d?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3408*k - 2886*k - 19762 + 873 = 10865 for k.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 364 and 7069.\nAnswer: 2573116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7817.\nAnswer: 7817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 333.3 - 333. Let w = -11 + 10.5. Sort p, 3\/4, w, -3\/2 in decreasing order.\nAnswer: 3\/4, p, w, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 566*t - 569*t. Suppose 0 = -7*d + 5*d - 2*f + 36, -5*f = t. What is the remainder when 124 is divided by d?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 8*b**3 + 61\/4*b**2 + 15\/2*b + 1\/4*b**4.\nAnswer: b*(b + 1)**2*(b + 30)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19945509 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2210132233 (base 5) in base 12?\nAnswer: -1720b67","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 9\/146241988?\nAnswer: 9\/146241988","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15 - -31\/2. Which is the closest to o? (a) 4 (b) -0.3 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71116043 is divided by 6605.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**2 + 106*a + 2472. Let m be t(-72). Let n(c) be the first derivative of -5\/4*c**4 + 15*c + m + 25\/2*c**2 + 5\/3*c**3. Factor n(u).\nAnswer: -5*(u - 3)*(u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/2429 and 9\/22555?\nAnswer: 157885","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - -4 - -26 - (-32232)\/(-1152)?\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 39 + -118\/3. Suppose 0 = -5*c + 8 + 7. Let m be 6\/c*(-2)\/26. Sort t, m, 0.5.\nAnswer: t, m, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.5 (b) 1 (c) -749 (d) -57.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -56 by 17.\nAnswer: -56\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:38 PM and 3:06 AM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f + 1. Let a(i) = -3*i**2 + 39*i - 39. Give -6*a(t) - 234*n(t).\nAnswer: 18*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*l - 1220 + 1220.\nAnswer: -5*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -7456*x + 7456*x - 8*x**2 - 216*x**2 + (5*x - 2*x - 2*x)*(0*x + 3*x - x) + x**2 - 4*x**2 + 5*x**2 as b*x**2 + z + f*x and give b.\nAnswer: -220","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17 - 14. Let l(x) = -x**2 + 5*x + 9. Let f be l(6). Let j be -1 - (f - (2 - -1)). Put 0, j, -7, o in descending order.\nAnswer: o, 0, j, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.7005 - -0.0505. Let h = k + 1.65. Put -5, h, -9, 0 in ascending order.\nAnswer: -9, -5, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1533 - 1434. Solve -97*b + d*b - 4 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 - 4 + 54*h + 15*h**4 - 17*h**4 + 15*h + 2*h**2 to the form w*h**2 + r*h + l + t*h**4 + d*h**3 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1187 + 1177. Which is greater: v or -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - (9 - (6 - 18)) - (1 + 19 - 3)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**2\/10 + 7*n\/5 - 16\/5.\nAnswer: (n - 2)*(n + 16)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1330383361 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -195 + j**3 + 7*j + 195 - 3*j**2 in the form a*j**2 + k*j + y + g*j**3 and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*i**2\/3 + 10*i\/3 = 0. What is i?\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c**(1\/2)*c))\/(c*c**(-2\/15)*c)*(c**17\/c)\/(c\/(c*c\/c**(1\/17))*c))**(-1\/4) assuming c is positive.\nAnswer: c**(-6923\/2040)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 32, 2\/3, -43, -34, -2.6 in decreasing order.\nAnswer: 32, 2\/3, -2.6, -34, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**2 + y - 3. Let m be ((-6)\/(-8))\/(15\/40). Let i(p) = -5*p**2 - 5*p + 13. Calculate m*i(f) + 9*k(f).\nAnswer: -f**2 - f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 65 and 533?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 = -3*r - r. Suppose 0 = -2*m + r - 4. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 3 x when four letters picked without replacement from {r: 1, x: 3, z: 1, p: 2}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8 + 13*q - 28*q + 15*q + 2*q**2 wrt q.\nAnswer: 4*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d = -50 + 18. Put -101, d, 3 in decreasing order.\nAnswer: d, 3, -101","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 946859.9m to nanometers.\nAnswer: 946859900000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73*j**2 + 22*j**2 + 105*j**3 - 12972*j + 49*j**2 + 13032*j - 3*j**5 + 18*j**4 = 0 for j.\nAnswer: -2, -1, 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 5 = 2*j - 5*f, -5 = -3*j + f. Let b(u) = -3 + j - u**2. Let c(a) = -2*a**2. Determine c(b(d)).\nAnswer: -2*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*w**3 - 1919978*w**2 + 7448077*w.\nAnswer: 42*w - 3839956","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**2 - 28*u + 4. Let t be r(28). Solve 4*v + t + 4 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3286 and 101230?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the third derivative of 31*h**5\/60 + 38*h**2. Let g(a) = 9*a - 9. Let b(s) = 3*s - 2. Let i(c) = 9*b(c) - 2*g(c). Calculate w(i(q)).\nAnswer: 2511*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1.41, 2\/25, 0.105, 0, -2?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 87945?\nAnswer: 3, 5, 11, 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -3 - 12330*y + 27 + 12398*y - 12*y**2 = 0.\nAnswer: -1\/3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3059 + 1305 - 6110)*(3*x + 0*x - 4*x) in the form f + n*x and give n.\nAnswer: 1746","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 83048588 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: 10+0.0031903\nAnswer: 10.0031903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (a**2 - a + a)*(6*a - 4*a - 4*a) + 114*a**3 + 205*a - 205*a to the form k*a + s*a**3 + f*a**2 + o and give s.\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x - 268356 - 259644 = 0. Round x to the nearest 10000.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -29 - -193\/5. Let g = -8561611129\/2128254 - 2\/1064127. Let i = -4041 - g. Calculate the common denominator of i and p.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**2 + 7*q + 5. Let x be k(-7). Suppose -2*l + x*l = 15, -5*b - 2*l = -45. Suppose -b*h + 68 = -5*h. Is 12 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*j + 0*j + 2*j + (-2*j + 2*j + j)*(-2 - 3 + 3) - 5*j - j + 4*j + (0 + 3 - 4)*(-3 + 3 - 2*j) - j + 9*j + 4*j.\nAnswer: 18*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 31*r - 28. Let m be ((-4)\/5)\/(-6 - (-174)\/30). Suppose -m = 7*p - 8*p. Is v(p) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*y + 2659094*y**2 + 2*y + 4*y.\nAnswer: 2659094*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 1503*m**2 + 4*m - 4. Let o(r) = 45089*r**2 + 121*r - 121. What is -4*o(d) + 121*x(d)?\nAnswer: 1507*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 + -1 + 1 + 0. Suppose -4 + 7 = -3*v. List the prime factors of (m - v\/4)*4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 divided by 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 27684 - 27680. Let u(t) = 71*t - 288. Give u(y).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 248.79 * 3.6.\nAnswer: 895.644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v**4 + v**4 + 6*v**4)*(16*v - 15*v - 19*v - 16*v).\nAnswer: -306*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 214 = 5*u - 4*u, -2*u + 426 = -4*y. Suppose 3*q = 1052 + u. What are the prime factors of q?\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -21\/2 (b) 2.03518 (c) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 1 j when three letters picked without replacement from {w: 8, j: 7}?\nAnswer: 28\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: 18 + 3 - -9 - (1 - (4 - -2))\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21981 is divided by 133.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*y - 9*y - 2*y + 9*y + 4*y.\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the third derivative of -z**8\/84 - z**7\/15 - 3*z**6\/20 - z**5\/6 - z**4\/12 + 8*z**2. Suppose g(o) = 0. What is o?\nAnswer: -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 9 = 21 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -20*(-9 - (-5 - 3))*13 is divided by 173?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/2*(-27)\/(891\/44). Sort f, 11, -4 in ascending order.\nAnswer: -4, f, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70*l**2 + 24*l**2 + 25*l**2 + 10*l**2 + 25*l**2.\nAnswer: 14*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 75413274 to the nearest integer?\nAnswer: 422","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79505 is divided by 4173.\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the first derivative of v**4\/4 + 4*v**3 - 11*v**2\/2 + 9*v - 2. Let n be x(-13). Is n at most as big as -17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -151870.921 rounded to the nearest one hundred?\nAnswer: -151900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the second derivative of d**6\/135 + 19*d**5\/90 + 25*d**4\/27 + 32*d**3\/27 + d - 35. Find z, given that m(z) = 0.\nAnswer: -16, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 4*s + 56 = 0, g - 5*s = -3*g - 86. Let y = g - -26. Suppose 1640 = 3*p + p + 2*d, y*p - d = 824. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5632402.\nAnswer: 2, 97, 29033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 319960228 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - -2) + -5 + 2 + 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2 + (-2 - -2 - -110). Let x be 4\/16 + (-45)\/(-12). Suppose -x*u = 2*u - a. Solve 5*z - u = -n, 6*n + 22 = 3*z + n for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(192) + (sqrt(192) - (-4 + sqrt(192)*-2)) + -1 + ((sqrt(252) + sqrt(252)*1 + sqrt(252))\/sqrt(12))\/(sqrt(343)*-2))**2.\nAnswer: 1335*sqrt(3)\/7 + 595839\/196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1\/(-9))\/((-1)\/3). Let q = -193\/192 - 21\/64. Which is the fourth smallest value? (a) s (b) q (c) -4\/5 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (((-120)\/18)\/(-10))\/(2\/1221). Let q(s) = -408*s + 3*s**3 + l*s - s**3 - 1. Calculate q(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2082213)\/16765)\/((-36)\/40).\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5372*z - 461*z + 13004*z + 9663*z.\nAnswer: 16834*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3247*i**2 + 3276*i**2 - 9809*i**2 + 3278*i**2.\nAnswer: -8*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 22*w - 2. Let s(n) = -11*n + 1. Calculate 4*c(y) + 10*s(y).\nAnswer: -22*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -5*j**4 + 3146000*j**3 - 494897258680*j**2 + 9896800062400*j - 17814036258000 = 0.\nAnswer: 2, 18, 314590","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 divided by 1508962?\nAnswer: -29\/1508962","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(-52)\/(-24) - (-6)\/9?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0\/(-5*(-6)\/(-5)))\/(-2). Which is the nearest to d? (a) 41 (b) 2\/13 (c) -3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p, 1 j, and 1 n when four letters picked without replacement from {v: 3, j: 4, n: 2, i: 2, p: 2}?\nAnswer: 8\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 7254 <= -81?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*c**3 - 8*c**2 + 10*c**4 - 2 + 4*c**3 - 142*c**4 - c**3 - 19 wrt c.\nAnswer: -3168*c + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.757 * -9.7\nAnswer: 7.3429","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - 6) + -9 + 16\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23777 = -336*g - 29*g - 38*g for g.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 955050751 to the nearest integer?\nAnswer: 985","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 48*h**5 - 408*h**4 - 213*h**3 + 5157*h**2 + 2592*h + 324 = 0.\nAnswer: -3, -1\/4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m - 2*k = -0 + 3, 4*m - 3*k + 1 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 57*a - 17422. Calculate v(297).\nAnswer: -493","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 288108 and 16960.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20\/(-60))\/(1\/171)*18\/(-27)*1.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -765, -3135, -5423, -7587, -9585?\n\"Answer: 7*x**3 - x**2 - 2416*x + 1645","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.45 - 1.05. Let k = 0.79 - -0.21. Let v = -15\/7 + 17\/7. Which is the nearest to v? (a) k (b) n (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-38)\/126 - (-156)\/351. Put c, 2\/17, 1\/182, 0 in increasing order.\nAnswer: 0, 1\/182, 2\/17, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 5 (b) 3 (c) 7 (d) 18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39163103?\nAnswer: 7, 71, 11257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, x: 1, q: 4, m: 1, s: 1}. Give prob of sequence szx.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 697*h**2*p**2 - 29*h**2*p + 5832*h**2 - 101*h - 7*p**2 with respect to p.\nAnswer: 1394*h**2*p - 29*h**2 - 14*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*p - 64 - 41 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 659*n + 1033. What is the units digit of p(9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -3, 2, -43 in decreasing order.\nAnswer: 3, 2, -3, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -2*b - 1. Let r(o) = -2. Let u(t) = 2*m(t) + 4*r(t). Is u(-9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p - 0*p - 27. Solve -m = -4 + p for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (21\/((-3234)\/55))\/(114\/399)?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*k - 11*k + 1396626 = 41*k. Is 26 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(3*sqrt(300) + sqrt(300) + -4 - sqrt(300) - ((sqrt(300) + sqrt(300) + (sqrt(300)*1 - sqrt(300)))*-4 + sqrt(300))))**2 + 2.\nAnswer: -12800*sqrt(3) + 480258","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -10*r**2. Let g(z) = -22019427*z + 22019427*z + 38*z**2. Calculate j(g(h)).\nAnswer: -14440*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -285, -757, -1421, -2253, -3229, -4325, -5517?\nAnswer: -6781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-470)\/(-1269)*(1 + 4\/(-10)). Which is the closest to 3? (a) k (b) -0.1 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/5? (a) -181\/6 (b) -81 (c) 2\/9 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the first derivative of m**4 + 28*m**3 + 240*m**2 + 400*m - 7. Let h(x) = 0. Calculate x.\nAnswer: -10, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 - 1\/((-1)\/100). Let u(w) = -49*w + 392. Let f be u(8). Suppose 10*l - 5*l - o = f. What is the remainder when 37 is divided by l?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-6)*f*f*f**(-2\/9)*f*f*(f**(-1\/3)\/f)**5)**(1\/79) assuming f is positive.\nAnswer: f**(-80\/711)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -73 - -85. Suppose -4*n - 56 = -i. Let s(l) = l**3 + 11*l**2 - l - 14. Give s(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 173 = -85. Let i be (h\/(-16))\/((-4)\/(-84)). Let s = i + 113. Sort s, 2\/3, -3.\nAnswer: -3, s, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-1*sqrt(180)*-5 + 4*sqrt(180)*-1 + (sqrt(180) - (sqrt(180)*2 - sqrt(180))) + 0)**2 + 0.\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 2*c + 3, 3*n - 4*c = 400. Let v(y) = 6*y + 2 + 2*y**3 - 2*y**2 - 5*y + 0*y. Let t be v(2). Calculate the greatest common divisor of n and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 + 5. Let g = -2.6 - -3. Let n(l) = -l**3 - 2*l**2 + 3*l + 4. Let q be n(-3). What is the nearest to 1 in d, q, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**10)**(8\/3)\/((z\/z**14)\/(z*z\/(z*z\/z**(-4\/5)))) assuming z is positive.\nAnswer: z**(583\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -244, -221, -184, -133, -68?\n\"Answer: 7*d**2 + 2*d - 253","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n + 3. Let i(k) = -4. Let u(y) = -1. Let j(m) = -i(m) + 6*u(m). Suppose z + 5*v + 17 = -3*z, 11 = -2*z - 5*v. Determine z*w(p) - 4*j(p).\nAnswer: -3*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 + -7. Suppose c*s + 80 = 5*s. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0\/(4\/(5 - 1)). Put 1, k, 3 in ascending order.\nAnswer: k, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(45)\/(sqrt(81) + sqrt(9)))**2.\nAnswer: 5\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 + 1)\/((-1)\/(-2) - (-30)\/20). Let k be 0\/(3*1\/3). Solve k = 5*p - 25, t = -g + 2*p - 9 - 2 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000999633 rounded to 6 dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 72962 and 313622?\nAnswer: 382","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5551464971 minus -0.03?\nAnswer: 5551464971.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the first derivative of 3*z**4\/4 - z**2\/2 + 3*z + 3. Let x(t) be the first derivative of k(t). List the prime factors of x(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.18 + -0.12. Let h = u - 0.16. Let n = h + 2.1. Which is the third biggest value? (a) n (b) -7 (c) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes after 8:20 AM?\nAnswer: 6:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 3979?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 154336072 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -22 - (3 + -3)) + -32 + -68 + 93?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 1512105?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 19 and 1216.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**3 + 28*w**2 + 3*w - 46. Let v be u(-28). Let c = v + 132. Solve 3*t - c*p - 2 = 3*p, 2*t = -3*p + 14 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2994242299 and 23.\nAnswer: 2994242322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4602348 to the nearest integer?\nAnswer: 2145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20 - ((16 - -3) + -7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 659 = -4*j, -10*j = -9*j - 5*x + 198. Let y be 0 + 1 - 3 - 162. Which is greater: y or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1564*h**4 + 35*h + h**3 + 24*h + 1415*h**4 wrt h?\nAnswer: -1788*h**2 + 6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 (base 4) in base 11?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 16) to base 6.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sr when two letters picked without replacement from {r: 6, s: 1, m: 12}?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1368 and 65854?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 - -3. Let n = 4 - x. Suppose -n*d = -d - 8. Solve -3 = -o, w = 6*w - d*o + 32 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 4*a**2 + 3*a**2 + 13*a - 2*a**2 + 48 + a**3 + 4*a**2. Let p be k(-8). Solve -3*w - p*w - 33 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.1751 + -0.2551. Let b = 2\/15 - -2\/3. Let h(d) = 6*d**2 - 3*d + 2. Let n be h(1). What is the closest to c in b, 0, n?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1337 + -308. Let t = b + 2304. What are the prime factors of t?\nAnswer: 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -1175, 3, 2 in decreasing order.\nAnswer: 3, 2, -1, -1175","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*q**3 + 3*q**3 - 3*q**3 + (q**2 - 2*q**2 + 0*q**2)*(-3*q - 2*q + 6*q) - q + q + 3*q**3 + (4*q - 4*q - q)*(-6*q**2 - 3*q + 3*q).\nAnswer: 10*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10245181868587062 - 10245181564017756.99999955. Let j = -304569286 + v. Let m = -19 + j. Round m to seven decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -141528 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 896989 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -28*d + 42 + 0*d - 45*d. Suppose 3*v = 3*j - 54, -3*v + 5*j - 69 = -13. Is p(v) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 52 - 57. Let d be 3\/p + 68\/(-20). Let j(z) = -z**3 - 2*z**2 + 7*z - 1. Let g be j(d). Solve g*m - 5*l - 9 = 0, 4*m - 12 = -5*l - 35 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1228 is divided by 41.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 j when two letters picked without replacement from {j: 9, w: 5}.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 187 + -189. Sort p, -20, 2.\nAnswer: -20, p, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -355850*o - 34782 = -355168*o for o.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 9.158 nanoseconds?\nAnswer: 0.000009158","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-35)*m\/(((((m*m**(-34))\/m)\/m*m)\/m*m)\/m))\/(((m*m*(m*(m**(-3)\/m)\/m*m)\/m)\/m)\/(m**(2\/51)*m)) assuming m is positive.\nAnswer: m**(308\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 117 - 117.5. Sort -3, 2\/7, 4, r.\nAnswer: -3, r, 2\/7, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9.3 - 1.3. Let j = -7.88 + y. Let a = 2.534 - 2.334. What is the third biggest value in a, 2, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/6 + 80\/(-84)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + 12 + (-4 - (8 + -2 + -3))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 8) in base 12?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1393950404?\nAnswer: 2, 7, 11, 353, 12821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 4*i**2 - 4*i - 1. Let n be l(3). Let w = n - 11. Let -5*m**2 - w*m + 4*m**3 - m**4 + 0*m**4 + 14*m = 0. What is m?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times -14705?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 143 = 53*w - 228 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (83\/(-1411))\/(18\/(-13)) and 5\/1122.\nAnswer: 3366","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.09 - -0.18. Let d = 38 - 45. Let x = 7 + d. Which is the third biggest value? (a) x (b) -1\/3 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 2 - 6)*(-16*k - 17*k - 83*k) as y + a*k and give a.\nAnswer: 232","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -43036 divided by 29?\nAnswer: -1484","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 24 = -8*c. Let b(m) be the first derivative of 0*m - 6\/5*m**5 + 0*m**c + 3\/2*m**2 + 0*m**4 + 1. Find the second derivative of b(l) wrt l.\nAnswer: -72*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 5*i + 0*i - 21 = 0, s + 17 = -3*i. Let f be (0\/(-3))\/(-4 - s). Let u = f + 8. Is 8 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-66)\/(-99)*-60 - -11?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15259, 15241, 15199, 15121, 14995?\nAnswer: 14809","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*g + 17 + 232*g - 18 to the form a + o*g and give o.\nAnswer: 225","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 62 and 217?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a litre in millilitres?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1206960*4\nAnswer: -4827840","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.7 - -2.3. Let t(o) = o**3 - 6*o**2 + 2*o - 8. Let n = -1 + 7. Let v be t(n). Which is the biggest value? (a) -3 (b) q (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-3654)\/84)\/29*(-12)\/9)\/(-1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4030153 (base 6) in base 7?\nAnswer: -1422426","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2784?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -5148955 (base 11) in base 5?\nAnswer: -4311323332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (230\/(-100) - -3)*12\/105?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-56)\/72 + (3 + 3 - 224\/36)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 z when four letters picked without replacement from {f: 3, z: 4}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the third derivative of -j**8\/100800 - j**7\/6300 - j**6\/900 + j**5\/20 + j**2. Let o(z) be the third derivative of c(z). Find r, given that o(r) = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*f - 4*v - 6, 3*f + 12605 - 12587 = 3*v for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -29624297*x + 2227071 with respect to x.\nAnswer: -29624297","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/8334 and -7\/44448?\nAnswer: 133344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 544\/(-4488)*(-11)\/6?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6392)\/(-1498) - (-67980)\/(-15862).\nAnswer: -2\/107","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1110010 (base 2) in base 15?\nAnswer: -79","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - (9 + -13) - -12.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.08 + 0.12. Let t = -0.7 + s. Let l = 1 - 0. What is the third biggest value in -0.3, l, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5707118?\nAnswer: 2, 41, 79, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4759 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-3\/2))**(-2\/69))**(-3)\/((g*((g*g**(-2\/3))\/g)\/g)**(2\/11)*(g\/(g*g*g**(-1)*g))**(9\/7)) assuming g is positive.\nAnswer: g**(6782\/5313)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 3*a + 0 + 8 = 0, -4*x - 2*a + 16 = 0. Let z = 18 - 0. Suppose u + 2 = z. What is the least common multiple of x and u?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.3 - 0.7. Let r be 8\/(-3)*(-24)\/16. Which is the second smallest value? (a) r (b) j (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 - 1)*(-148 - 2*g - 143 + 295).\nAnswer: 4*g - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the second derivative of q**5\/60 - q**4\/12 - 2*q**3\/3 - 3*q**2\/2 - 2*q. Let z(s) be the first derivative of n(s). What is z(-3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 52*i**2 - 97*i + 565. Is 15 a factor of k(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -3*s + 1. Put 2, s, 7 in ascending order.\nAnswer: s, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 - -3. Let a = -18 + g. Let q be 2\/((1 - -1) + 11). What is the second smallest value in -0.3, a, q?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000098342 to seven decimal places.\nAnswer: 0.0000098","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.9794648 rounded to two decimal places?\nAnswer: 2.98","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t + t**2 - 11 + 23 - 20. Give x(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 - 0\/1 - 2\/19. Let i(k) = -k**2 - 2*k - 1. Let x be i(-1). Which is the biggest value? (a) o (b) 21 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 3*s. Let k = 0.6 + -0.6. Let i = k + -0.4. What is the nearest to s in i, 0.2, -4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q + 4. Let x be b(-5). Let j = -945 - -995. Suppose -1597*n - j = -1607*n. Sort 1, -5, n, x in decreasing order.\nAnswer: n, 1, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 21*c**2 - c + 1. Let o(a) = -14*a**3 + 129*a**2 - 8*a + 9. Give 6*g(j) - o(j).\nAnswer: 14*j**3 - 3*j**2 + 2*j - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -111980, -222559, -333138?\n\"Answer: -110579*b - 1401","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/10)\/(63\/(-7560))*(-6)\/((-48)\/8).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 9*i**2 - 18. Let p be 42\/6 + -4 + 4. What is the tens digit of j(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -692031148 divided by -161614?\nAnswer: 4282","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 20 = 8*u - 4*u, 0 = u + 5*b + 20. Suppose u*m = -m + 66. Is m a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 78018 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -85*j**2 + 85*j**2 + 2*j**3 - 3 + 6*j + 2 + 3 + 16*j**4 to f*j**4 + c*j + h*j**2 + y*j**3 + b and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 271*y - 4790 + 4248 = 0. Suppose 7\/4*f**3 - 10*f - 3 + 9\/4*f**y = 0. Calculate f.\nAnswer: -3, -2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = -4*f + 5*s, -f + 3*f - 4*s + 12 = 0. Let p = 3 + f. Suppose 0 = 4*o - 0*o - 20. Sort -4, o, p in descending order.\nAnswer: o, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 96, -0.18, -6, -4\/7?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 2. Let i = -3 + 15. Let n = -14 + i. Let z(j) = -j + 3. What is n*z(x) + 3*k(x)?\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n - 4*n**4 + 2*n)*(-8 - 6 + 5) + (-2*n**3 - 3*n**2 + 3*n**2)*(3*n + 0*n - n) - 4*n**4 + 4*n**4 - 2*n**4 - n**4 + 5*n**4 - 3*n**4.\nAnswer: 31*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 151 = 2*p + p, -5*p + 390 = 5*j. Suppose -10*v + 53 + j = 0. What is the third derivative of -v*m**2 + 3*m**3 + m**3 - m**3 - m**3 wrt m?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjiiiiij. What is prob of sequence ii?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5574963?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -116*w - 7. Let n(i) = -57*i - 1. Give 2*n(m) - t(m).\nAnswer: 2*m + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 4*v**3 + 10*v**2 + 11*v - 13. Let x(q) = -3*q**3 - 9*q**2 - 10*q + 12. Let g(h) = 4*n(h) + 5*x(h). List the prime factors of g(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5.05 - 5. Which is bigger: r or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(-7))\/((f*f*f*f**(-2\/27))\/f*f) assuming f is positive.\nAnswer: f**(-241\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((2*sqrt(1872)*6)**2*-5 + 2).\nAnswer: 8087028","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 3*k + 13, -k - 4*k - 2*i = 19. Put -14, k, 0.4 in descending order.\nAnswer: 0.4, k, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2695) + 2*sqrt(2695)*3 + sqrt(2695))\/(5*(sqrt(396) + (sqrt(396) - (sqrt(396) + -1*sqrt(396))))).\nAnswer: 14*sqrt(5)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are -14441814\/23 and 0.03 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 433*t - 955 - 6839 for t.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -3690 divided by 41\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - -2)*(-1267499)\/(-39201).\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1824 and 168?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -4*h**3 - h**2 - h - 1. Let q be g(-1). What is the third derivative of 3*z**6 - 4*z - q*z**2 + 4*z wrt z?\nAnswer: 360*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 94910?\nAnswer: 2, 5, 9491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*b**2 + 16*b*i - 2*b - 5*i + 19 wrt b.\nAnswer: -4*b + 16*i - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003839 rounded to 4 dps?\nAnswer: -0.0038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11*p*r**4 + 135*p*r**2 + p*r - 3*r**4 + r**3 wrt r.\nAnswer: -264*p*r - 72*r + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 90127.15 days to seconds.\nAnswer: 7786985760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1181, -2716, -4255, -5798, -7345, -8896?\nAnswer: -10451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:39 AM and 2:04 AM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 6 + 3)*(-1 + 0 + 2)*(-5*i + 4*i + 0*i).\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the third derivative of 8\/3*h**4 + 4\/15*h**5 + 0*h - 12*h**2 - 2*h**3 + 0 + 1\/90*h**6. Let m(l) be the first derivative of z(l). Factor m(q).\nAnswer: 4*(q + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1 (b) -50\/11 (c) -1368 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the second derivative of f**3\/2 + 6*f. Let s(a) = 5*a**2. Determine q(s(b)).\nAnswer: 15*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 903504375?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s + 4. Let n be q(0). Suppose x = 9 - 4, z = n*x + 68. Suppose 0 = g - 2*l - z, -3*l = 7*g - 2*g - 388. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i = -3*i - 63. Let j = 75 + -99. Let p = j + i. Sort 3, p, -2 in decreasing order.\nAnswer: 3, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.8579 or -113?\nAnswer: -113","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 600 + -2?\nAnswer: 565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 126 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -171*v + 170*v + 293. Is v\/1 - (3 - 11) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/2*((-11)\/44)\/(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -29.62 rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -466857 greater than or equal to -466856?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 419 and 33939.\nAnswer: 419","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 19*u - 1. Let h be i(6). Suppose -42*a + 292 = -38*a. Let g = h + a. Is g a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 1)*(0*j**2 + 3*j**2 - 5*j**2) + 17*j**2 - 5*j**2 + 9*j**2 + 5*j**2 - 2*j**2 - 4*j**2.\nAnswer: 22*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -380*k**5 + 4*k**2 + k - 67. Let g(r) = 381*r**5 - 3*r**2 - r + 67. Let j(l) = -4*g(l) - 3*t(l). What is the second derivative of j(f) wrt f?\nAnswer: -7680*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 134580313?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 439733 or 439735?\nAnswer: 439733","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*y - 6*y - 6*y**2 + (197*y - 91*y + 32*y)*((0 - 2 + 0)*(6*y - 2*y - 3*y) - y + 0*y + 4*y) - 2*y**2 - 2*y - 4*y + 4*y.\nAnswer: 130*y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the third derivative of q**8\/6720 + q**7\/360 + q**5\/120 - q**4\/4 + 5*q**2. Let x(t) be the second derivative of o(t). What is x(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 112\/(-3520)*-11 - 2\/(-8)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 64 = -44. Suppose -1090 = -5*z + 11*r - 10*r, -x*z - 2*r = -1075. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -81, -1, -3\/11?\nAnswer: -81","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.0764 + -601.9236. Let f = 602.41 + b. Round f to two decimal places.\nAnswer: 0.41","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(114)*4 - sqrt(114)*-1*-4)\/(-3*sqrt(216)*-6))**2.\nAnswer: 76\/729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 4*z - 24, -6 + 0 = 2*u. Solve -i + 11 = d + d, -11 = z*d - 4*i for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-222)\/28)\/((-5151)\/24038)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -7*g + 12. Let z(y) = y**2 + 14*y - 45. Let x be z(-17). Suppose 98 = x*w + 32. Calculate the smallest common multiple of w and g.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.18 + -22.18. Let p be 16\/14*3\/(-12). What is the third biggest value in p, l, -3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -27*f**2*m**2 - 5*f**2 + 586*f*m**4 + 62*f + 25 wrt m.\nAnswer: -54*f**2*m + 2344*f*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = -s + 2*m - 576, -3*s + 3*m - 1728 = 0. Is (-2)\/4*(s + -14) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 365 (base 9) in base 2?\nAnswer: 100101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 16832?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 42359*b**3 - b**2 + 6*b + 22. Let i be o(-4). Let d be i + (-9 - (-9)\/3). Round d to the nearest 100000.\nAnswer: -2700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2032 - -1238. Let k = i - -797. Let m(f) = 14*f + 24. Let y(g) = 5*g + 8. Give k*m(t) - 8*y(t).\nAnswer: 2*t + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 123*h**2 - 2*h - 2. Let n(a) = -368*a**2 + 7*a + 7. Determine -2*n(g) - 7*y(g).\nAnswer: -125*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -5*c**3. Let t be y(-1). Let a = t + -3. Which is smaller: 4 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2349 - -2350. Let g = 57\/2 - 167\/6. What is the closest to r in 1\/3, 1\/17, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 41 - 21)*(4*p - p + p) to the form s + c*p and give c.\nAnswer: -256","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the third derivative of -1\/120*r**6 + 0 - 6*r**2 - 1\/30*r**5 + 0*r + 1\/3*r**3 + 1\/4*r**4. What is i(-4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 87357750 is divided by 14559624?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19328*j = -19329*j - 5*i + 24, 0 = -j - 2*i + 9 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 364, 922, 1674, 2620, 3760?\n\"Answer: 97*t**2 + 267*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 12*m + 6. Let t(x) = 7*x + 4. Let p(i) = -2*k(i) + 3*t(i). Let o(v) = -50*v. Calculate -3*o(s) + 42*p(s).\nAnswer: 24*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 338334 and 26442.\nAnswer: 1491037938","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**2 + 13*y + 50. Calculate k(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60*m - 288 + 143 + 145.\nAnswer: 60*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u**2\/7 + 1515*u\/7 + 216 = 0. Calculate u.\nAnswer: -504, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 3*l. Give n(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 greater than -1074.8478?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**4 - 56*n**3 - 1212*n**2 - 5040*n - 3888.\nAnswer: 4*(n - 27)*(n + 1)*(n + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-488*w + 437*w + 290*w)*(-33*w - 14*w + 8*w)*(-w + 0 + 0) as m*w + i + h*w**3 + r*w**2 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 3*d - 4. Let x be (-987)\/(-84) + 2*2\/16. Solve -g + 4*r = -x, d*r - 3*r = -2*g + 3 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -61, -204, -443, -778, -1209, -1736?\nAnswer: -2359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6919001452?\nAnswer: 2, 11, 6199, 25367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-3\/37)\/b**(2\/13) assuming b is positive.\nAnswer: b**(-113\/481)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**3 - 5*b**2 + 6*b + 9. Let t(k) = -k**2 - 7*k - 6. Let l be t(-7). Let i be x(l). Solve 5*o = r - 5*r + 14, 5*r = -2*o + i for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23348 divided by -2?\nAnswer: 11674","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dp when two letters picked without replacement from nrrrprerwdneredrrd.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 99\/(-6) + (119 - 102).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14898 is divided by 172.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 85\/(-15) - 1\/3. Let b(h) = -h**2 + 8*h + 24. Let m be b(w). Which is smaller: -59 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -38*f*j**4 - 676*f*j - 16*f - 41626*j**5 - 101*j wrt j?\nAnswer: -456*f*j**2 - 832520*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 472 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 - -5.9?\nAnswer: 6.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 12*1*(5112\/27 + 0 - -8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(832)*-3 - ((sqrt(832) - sqrt(832)*-2 - sqrt(832)) + -1).\nAnswer: -40*sqrt(13) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 81, 5, -5338, 9 in decreasing order.\nAnswer: 81, 9, 5, 2, -5338","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 + -3 - 2) + 5 + -1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes before 3:10 PM?\nAnswer: 1:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -169 - -165. Let o = k + 9. Solve -4*i - 3*h + 12 = 0, -o*i + 4*h - 3 - 13 = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/2 of a second in milliseconds?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:37 AM and 3:34 AM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29 - 2*k**2 + 15*k**2 - 14*k**2.\nAnswer: -k**2 - 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -25*n. What are the prime factors of m(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7859 = 47*r + 6590. Solve 0 = 51*x + r + 330 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3097983 a multiple of 252?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1110001101 (base 2) in base 16?\nAnswer: 38d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1988 in -1, -0.03, 0.4, -4, 0.3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 132.3 - 126. Let o = h + -16. What is o rounded to the nearest integer?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4844121 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3747041850?\nAnswer: 2, 3, 5, 24980279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - f**3 - 1 - f**3 - 91*f**4 + 2*f - 2*f**2 + 97*f**4 to the form c*f**3 + v + w*f**4 + m*f + x*f**2 and give w.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 4*r + 8 + 20*r**2 + r**3 - 36*r**2 + 21*r**2. What are the prime factors of p(-3)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9584065 is divided by 1847?\nAnswer: 1829","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1856726?\nAnswer: 2, 41, 22643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -4*z**2 - 3*z - 3. Let o be y(-2). Suppose 0 = -0*h - 11*h - 77. Let u = h - o. Let v(j) = j**2 - 6*j - 7. Determine v(u).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -6 + (-4 - -6) - 5 - -11.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n*n*n**(-1\/11)*n)\/(n\/n**(-10)*n)*n**(-4\/21)*n**(-4\/15) assuming n is positive.\nAnswer: n**(-3291\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 3*y + 1 = 0, -t - 4*y + 28 = t. Let r = -0.319 + -1.681. Put t, r, 0.1 in descending order.\nAnswer: t, 0.1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56523 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -1375*d - 7798. List the prime factors of s(-16).\nAnswer: 2, 3, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 280\/84*(-216)\/10*((-10)\/(-3))\/5.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1\/10, -281, 6, -8, 5, 0.3?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rj when two letters picked without replacement from {r: 2, j: 2, g: 2}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*i - 4*i - 28. What is the greatest common factor of 98 and i?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 391009649 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 0*r + 3*k = 6, 0 = -3*r - 2*k - 1. Let o(w) = w + 3 + 6*w**2 + 3*w - 3*w**2. Does 9 divide o(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2299) + 1*(sqrt(2299) + (sqrt(2299) - (-2 + sqrt(2299))) + sqrt(2299)) + 2 + 3*sqrt(2299) + -1)**2.\nAnswer: 396*sqrt(19) + 82773","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3324 and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*x**(-15\/7)*(x*x*x\/(x\/x**24*x*x))\/x*x**(-28)\/(x*(x*(x\/(x*x*x**(-10)))\/x)\/x) assuming x is positive.\nAnswer: x**(-106\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.3 - -0.4. Let k = -50597 + 5312732\/105. Let s = k + -1\/21. Which is the third smallest value? (a) s (b) l (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5\/7 - 1\/28. Let n = -9 - -11. Let d = -1.6 + n. Which is the biggest value? (a) 0.5 (b) v (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65583.\nAnswer: 3, 7, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 + -26 + (-1 - (2 - 5))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p - 5*p - 2*p)*(-3 - 7 + 2)*(3 - 4 + 2).\nAnswer: 40*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76 = 3*i - n + 77, -5*i + 17 = 3*n for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5*y - 3*y - y)*(3 + 2 - 3) + (-1 - 1 + 3)*(6*y - 3*y + 4*y) - 6*y + 0*y + 3*y)*(-4 + 0 + 1).\nAnswer: -18*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.86 times 16\nAnswer: 13.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 754414 to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5865387?\nAnswer: 3, 11, 177739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -155 - 148 + 686 - 248 + 3*j - 135.\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 56 and 11102?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 30303 + 111?\nAnswer: 31020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 350\/(-2415)*-23 + (-273)\/9?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the second derivative of -8*h**4\/3 + 23*h. Let g be -1 - ((-54)\/12 - 6\/4). Let m(f) = 1 - g + 4 - 2*f**2. Calculate q(m(l)).\nAnswer: -128*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3084.9057 minutes to days.\nAnswer: 2.142295625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.7 + -0.6. Let n = -18.16 - -18. Let j = -0.04 + n. What is the closest to o in j, -5, -2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or -1304\/397?\nAnswer: -1304\/397","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -580 - 105*d + 50*d + 51*d + 580.\nAnswer: -4*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*h - 7*h + 0*h.\nAnswer: -3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -15*f**2 - 3734*f + 7370. What is g(2)?\nAnswer: -158","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.83 - 1.53. Sort 3, 1\/2, 24, t in increasing order.\nAnswer: t, 1\/2, 3, 24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 271, 190, 55, -134, -377?\nAnswer: -674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4.83917 + -8.\nAnswer: -3.16083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 964?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 2*f - 6. Suppose 6*q - 1324 = f*q. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-1))**(-44)\/(c**(-14)*c**(4\/7)))**15 assuming c is positive.\nAnswer: c**(6030\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = f - 1 - 2, -f + r = -3. Suppose 9*a - f*a = 3786. What are the prime factors of a?\nAnswer: 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s**4 + 288*s**3 - 4948*s**2 + 28440*s - 52000 = 0. What is s?\nAnswer: 4, 5, 13, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 244 divided by -1\nAnswer: -244","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -10*z**3 + 13*z**2 + 33*z - 1. Let p = 9 - 15. Is q(p) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**2 - 18*x - 13. Let o be a(-17). Let i(k) = 3*k - 4*k - 8 + 4*k - o*k. Determine i(7).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.4 + 1.8. Let w = l - 2. Let h = 0.8 - -0.2. Which is the third smallest value? (a) h (b) 1\/3 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-366)\/(-244)*64756\/6.\nAnswer: 16189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-870)\/580)\/((-10)\/107 - -2) and -59\/16?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate z**3 - 221928*z + 232590 wrt z.\nAnswer: 3*z**2 - 221928","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -94a54 + c?\nAnswer: -94a45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21\/(-6)*217\/(-4557).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10 + -10. Let p(y) = -14*y**3 - 3*y**2 + 3*y - 16. Let d(n) = 5*n**3 + n**2 - n + 5. Let u(o) = 11*d(o) + 4*p(o). Give u(q).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 8356*b - 51. Let v be i(-3). Let u = -502489\/20 - v. Calculate the common denominator of u and -29\/18.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -y - 9. What is the tens digit of y\/((-9)\/(-28)) - 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + a + 0 + (-5 - 1 + 4)*(-a + 4 - 4) + 5*a - 3*a - 3*a + (1 - 1 + a)*(-4 + 3 + 3) + 25 - 7*a - 25 + (-2 + 6 - 2)*(-2 - 2*a + 2) as f + h*a and give h.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -5*z + 2*q - 23, 4*q = 4*z + 20. Let r be 13 - (3\/z + 0). Suppose -3*i = 4*s - 30 - r, s + 4*i = 11. Is s a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11 + -5. Suppose j*w = w. Suppose -a + 11 = 2*a + u, 4*a - 5*u - 40 = w. What is the remainder when 8 is divided by a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (142*u + 156 - 156)*(-5*u**3 - 3*u**3 + 5*u**3) + (u + 0 + 0)*(-3*u + 3*u - u**3).\nAnswer: -427*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 808.1576 days to hours.\nAnswer: 19395.7824","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/((-212)\/23850*625)\nAnswer: 18\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of r**2 - 39580*r - 187271 wrt r?\nAnswer: 2*r - 39580","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 6 = -i, -c + 2*i = -4*c + 14. Suppose -6 + 0 = -c*m. Let g be (-3)\/(-9) + 12299999\/m. Round g to the nearest one million.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9072 and 256.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(891) - (sqrt(891) - (1 + sqrt(891)))).\nAnswer: -9*sqrt(11) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**3 + 8*n**2 - 2*n - 3. What is the tens digit of f(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -134047, -134058, -134053, -134026, -133971?\n\"Answer: s**3 + 2*s**2 - 24*s - 134026","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-118)\/8 + (-113 - 34554\/(-312))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3376319\/80 - 42203. What is the common denominator of g and 119\/90?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the third derivative of 0 + 21*w**2 + 0*w**3 - 5*w + 1\/12*w**4. Let z(g) = -5*g**2 + 3. Let c(j) = 1. Let f(l) = 3*c(l) - z(l). Give f(a(r)).\nAnswer: 20*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.155622123 to three dps.\nAnswer: 0.156","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -5, -134816, -60?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 36*n**2 - 653*n - 79. Determine g(18).\nAnswer: -169","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (17\/(-19))\/(1840\/(-34960)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 769\/3116 + 5\/1558. What is the closest to w in 1\/20, 9\/2, 3?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8370783794 to the power of 1\/5, to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -167*g = -3*u - 162*g + 72, 3*u - 4*g - 60 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.202802 years in centuries?\nAnswer: 0.09202802","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -11*o**2\/5 + 79*o\/5 - 14\/5.\nAnswer: -(o - 7)*(11*o - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 15 + 13)*(2 - 1 - 3)*(-195 + 195 + 3*q**3).\nAnswer: -132*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 133 + -128. Which is the nearest to -2\/5? (a) -0.4 (b) o (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -4*h - 3. Let m be a(-4). Let l be 3*m - (-11 - -10). Suppose -5*g + l = -75. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2.7, -0.09.\nAnswer: -5, -2.7, -0.09","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1348 - 1310. Let d(h) = h**3 + 2*h**2 + 2. Let m be d(-2). What is the highest common divisor of w and m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10159756?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43 is divided by 18?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90*n + 116*n = 2*u + 146, -2*u - 4*n = -34 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -274, 3, 7.\nAnswer: -274, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 43 - 38. Solve 2*c + 4*o = 18, -i*c = -5*o + 20 + 10 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + 124 = -3*p, -16*p - 17 = -18*p - d for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t**2 + t**2 + 0*t**2)*(5 + 2*t**3 - 5 - t**3 + t**3 + t**3 + (t**2 + 0*t + 0*t)*(0 + 0 + t) - 3 + 3 - 3*t**3).\nAnswer: -t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 127916097 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 490 is divided by 75.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 52097\/10 - 5214. Find the common denominator of m and 45\/202.\nAnswer: 1010","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15665e (base 15) in base 12?\nAnswer: -41a5a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -770005 equal to -770004?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 676.84 or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -c**2*d + c*d - 57*c - 436*d wrt c?\nAnswer: -2*c*d + d - 57","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**3 - 4*o**2 - 3*o - 1. Let d be t(5). Let l = -6 + 6. Suppose -w - 2*w - d = l. Sort -5, -4, w in decreasing order.\nAnswer: w, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-16)\/(-6))\/((-2)\/(-84)). Suppose 5*s + j - 72 = 0, 0*s = 2*s - j - 26. Calculate the highest common factor of l and s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the first derivative of p**3\/6 - 7*p**2\/4 - 60*p - 230. What is k in x(k) = 0?\nAnswer: -8, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 10 = x, 2*f - 6*x - 2 = -x. Let u(v) = 2*v**2 + 6*v + 2. Give u(f).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 - 1)*(0 - 3 + 2)*(2*r**3 - r**3 + 0*r**3)*(-1 - 7 + 1).\nAnswer: -14*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46275?\nAnswer: 3, 5, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from {m: 3, r: 1, f: 7, c: 1, d: 2}.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.6 + -0.61. Let y = p + -0.1. Let i = y - -0.1099915. Round i to 6 dps.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 186 = 4*l, 4*l + 110 = 2*o + 326. Solve l*c + 21 = 58*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 43.54 + -43.94. What is the nearest to 22\/51 in 3, -1, -5, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 112, 160, -2, -6, 3, 2 in descending order.\nAnswer: 160, 112, 3, 2, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8.8 + 8.3. Which is the closest to 1\/4? (a) -0.3 (b) x (c) -4.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z = -y, 5*z + 106574 = -2*y + 2*z + 106569 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 5*f = -f - 24, 5*m + 5*f = 55. Is ((-12)\/m)\/((-22)\/55) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3258*f + 164982 = -67563 + 43581 for f.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l + 3*r - 29 = 0, 0 = 3*l + 49*r - 54*r for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 185\/(-805) + 5\/35.\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 240 + -246. Is -29\/5 greater than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6\/25? (a) 2\/43 (b) -0.1 (c) 18 (d) 2\/9 (e) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12971438?\nAnswer: 2, 6485719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(-9)*((-66)\/(-20))\/(113\/(-565)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 45*y**2 + 11*y + 21. Give k(-3).\nAnswer: 393","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**3 - 4*v**2 + 2*v. Let h be w(-6). Suppose -h = -2*t - 0*t. Suppose -4*r + t = -26. Is 3 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 3*l - 50 = -4*y, 2*y = 2*l + 40. Suppose 2*t + 460 = 3*g, -4*g + 18*t = y*t - 640. Is g a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10277, 10279, 10279, 10277?\nAnswer: 10273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from {u: 4, q: 8, s: 1}?\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-1)\/3)\/(5\/75). Let g = -4 - y. Let s(r) = -r**2 + 3*r + 4. Let a be s(3). Solve g = f + a for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -0.5 (b) -0.1 (c) -26 (d) 2\/5 (e) -1\/5 (f) 1 (g) 7.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -838 divided by -7?\nAnswer: 838\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w - 34. Give c(-23).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 20 - 14. Let g be (6\/(-4))\/(3\/(-8)). Suppose 2*v - 44 = 5*j - j, -5*v + g*j + 98 = 0. Solve -r = -t - 2, 3*t + 2*t = -a*r + v for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -5474*y**3 - 12*y**2 - 25*y + 297. Let u(g) = g**3 + g**2 + 3*g. Let o(x) = t(x) + 12*u(x). What is the second derivative of o(a) wrt a?\nAnswer: -32772*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/3*(-141554)\/60666?\nAnswer: -7\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 minus 3269663448365?\nAnswer: -3269663448365.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1011110101110101100011 (base 2) in base 13?\nAnswer: 848b5b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do 53 and 54 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes after 7:47 PM?\nAnswer: 3:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4 - 1 - -5) + (-2760)\/(-12). What is the highest common divisor of 98 and r?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14349563559997 - 0.2?\nAnswer: -14349563559997.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 209983\/4 or 52497?\nAnswer: 209983\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -26 + 54. Suppose 28 = -u + h. Let i be ((-3 - 0) + u)\/(9\/(-6)). Solve 0 = i*q - 6 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/255 and 13\/107469.\nAnswer: 9134865","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6352 and 288.\nAnswer: 114336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9444*r - 4908*r + 1478256 = 0 for r.\nAnswer: 103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 10.0060079 to one decimal place.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the first derivative of -21*n**2 - 11*n + 11. What is the tens digit of r(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 109, 186, 277, 388, 525, 694, 901?\nAnswer: 1152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 141796?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the third derivative of -m**6\/120 - m**5\/15 + 5*m**4\/24 + 5*m**3\/6 + 2*m**2. Determine z(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6740073\/184 - 36631. Let v = 76\/21 + -727\/168. Calculate the common denominator of v and n.\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 2*w + 1. Let l(c) = -3*c - 2. What is -5*b(n) - 3*l(n)?\nAnswer: -n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 2*q**2 - 4*q - 2. Let h be r(3). Suppose 10*w - h*w = -18. Is -1 - -6*(-38)\/w a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 308*s**3 - 161*s**3 - 151*s**3.\nAnswer: -4*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b + 126 = 638. Is b a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a microsecond in nanoseconds?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 122353.9m?\nAnswer: 122353900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**3 + 18*p**2 - 16*p + 102. What is the remainder when r(-13) is divided by 34?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + 3*r = -6, -r - 109 = -2*c - 110 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -47a2 + 3?\nAnswer: -479d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.02 - 0.98. Let h = 4.6 - 0.6. Which is the closest to f? (a) h (b) 1\/2 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2\/9553 - 3849855\/19106. Let z = j - -206. Let s = -5567\/770 - -226\/35. Calculate the common denominator of s and z.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 + (16 - 7) - -18 - (31 + -18).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 44734 - -201040. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 73 and 7957.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 485923 is divided by 479224.\nAnswer: 6699","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 169*k**2 - 1155 + 0*k + 7*k + 188*k**2 - 59*k**2 + 1156 - 83*k**2.\nAnswer: 215*k**2 + 7*k + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 s when two letters picked without replacement from msmmmmmmmssmmmdm.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 22491 + -22308. Calculate the greatest common factor of 12932 and a.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1134, 2264, 3394, 4524, 5654?\n\"Answer: 1130*t + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 431*k**2*y*z + 23*k**2*z**3 - 7*k*y*z + 6*y*z**2 - 3*y - 2*z**3 wrt k?\nAnswer: 862*y*z + 46*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -8 - 19?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -36*a**2. Let q(g) = -23*g + 3. Calculate p(q(f)).\nAnswer: -19044*f**2 + 4968*f - 324","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8*14*3\/147*(-357)\/(-34).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1391*r = -10978 + 30452 for r.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 326*h*i**5 + 11*h + 38*i**5 - i**2 - 389*i wrt i?\nAnswer: 19560*h*i**2 + 2280*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 4942, 4922, 4906, 4894?\n\"Answer: 2*i**2 - 26*i + 4966","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 79181459?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -218 + 223. Is 1465\/10*(b - 3) a multiple of 65?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -194*k + 189*k + 30 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/40 and 169\/105870.\nAnswer: 423480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0010439 to four dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w + 3*t + 21 = 0, 6*w = 4*w + 5*t + 23 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12 + -10. Which is the fourth smallest value? (a) p (b) 4\/9 (c) 0 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*r**2 - 1 + 1 + (r - 4*r + 4*r)*(-3*r - 3*r + 5*r) + (0*r + 0*r - 2*r)*(2*r - 3 + 3) - 2*r**2 - 4*r**2 + 3*r**2 - 1091*r - 70*r**2 + 1091*r.\nAnswer: -80*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 8 = -2*x, 2*q + 16 = x - 2*q. Suppose x*v + 4*v = 16. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f + 14. Let l be 1 - (-2)\/(6\/(-33)). List the prime factors of p(l).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3590.\nAnswer: 2, 5, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 12 = 4*q. Let w be 14\/q*12\/(-21). Solve h = y - 1 - 0, 4*y + 2 = -w*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:30 PM and 6:12 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13946 - -13945.9999997673. Round u to seven dps.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1388692106?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3\/2 (b) -0.165 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -309 times 15779\nAnswer: -4875711","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2199 divided by 3.\nAnswer: 733","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 0*s + 3 = 0. Suppose 0 = -s*g - h + 6 + 14, 0 = -5*g - 2*h + 33. Let m(b) = 2*b - 8. Let j be m(g). Which is smaller: j or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-51 - -1) + 42\/(-14). Let r = a + 48. Let o = r + 50. What is the tens digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0.3, 11, -0.4, 2\/3 in descending order.\nAnswer: 11, 2\/3, 0.3, -0.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 29628 and 10?\nAnswer: 148140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21 - -222200?\nAnswer: 222102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16038991.\nAnswer: 16038991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the third derivative of 11*i**5\/60 - 8*i**3\/3 - 20*i**2. Differentiate g(c) wrt c.\nAnswer: 22*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*x**2 - 29*x**2 - 13*x**2 to the form y + q*x**2 + u*x and give q.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 40991129269 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 22.1+-11.349\nAnswer: 10.751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5.2 and 305.\nAnswer: 1586","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 233, -0.5, 1.2?\nAnswer: 233","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 888697237 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**3 - 4*h**2 - 3*h + 25. What is j(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 - 2020?\nAnswer: -2010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6415*d - 3384.\nAnswer: 6415","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 196, 198, 200, 202, 204?\nAnswer: 206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*t + 10038 - 9970. Let q be (-2)\/(-12)*(-3)\/2. Which is the closest to -2\/3? (a) t (b) q (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2 - 1)*(-80)\/5. Let v be (23\/(-4))\/((-4)\/z). Let q = 90 + v. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13899830 and 23520.\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/11? (a) -0.4 (b) -17\/105 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*j + 98 - 188 = 0 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oc when two letters picked without replacement from {o: 7, y: 4, c: 3, k: 1, a: 1}?\nAnswer: 7\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d + 2*d**2 + 3*d)*(2*d - 2*d - 2*d + (-d + 3*d - 4*d)*(0 + 2 - 1)) - 4 - 3*d**3 + 4.\nAnswer: -11*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**2 + y. Let f be k(-1). Suppose a + 13 - 8 = f. What is the common denominator of (2\/(-36))\/(a\/(1425\/(-20))) and -137\/6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8\/16 - (-215)\/2. Suppose 5*t = t + h. List the prime factors of t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/112 and -52\/37?\nAnswer: 4144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**2 - 177*a + 358.\nAnswer: -(a - 2)*(a + 179)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 825850 = 98*x - 337*x + 820353 for x.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.670542 months in decades?\nAnswer: 0.13058785","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8330 is divided by 2069.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + -6 + (-40)\/22.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1098653\/185 + -59030\/111. Let j = n + 6465. What is the common denominator of -119\/10 and j?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10 - 10. Suppose 2*z = -3*f - 1, l*z - 3*z = 4*f + 1. Is z\/(-3) + 309\/9 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1169 + 5164 = 46*x + 178*x - 2403 for x.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2093777.00002 + 2093752. Let s = -25 - v. Round s to 5 decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 108234?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 16 - 15.1. Let z = i - 5.9. Suppose 0 = 51*k + 186*k - 711. What is the third biggest value in k, z, -1\/2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-272)\/32)\/(1\/22). Let d = g + 331. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t - 10 = -2*u, 31*u + 4*t = 33*u + 14 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10 - 6. Suppose -q*t + 32 + 0 = 0. Suppose 3*z - 4 = 5*x + 4, -z + 5*x = 4. Calculate the least common multiple of z and t.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**2 + 5*q - 24. What is v(-8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -535, -1069, -1603, -2137?\n\"Answer: -534*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12*3\/(-60)*5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of g**2*i + 8*g**2 - 16*g*i - 21*g wrt i?\nAnswer: g**2 - 16*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1267\/2 - 622. Let w = 10513 - 105223\/10. What is the common denominator of w and d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3, -1, -1\/7, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -2*p**3 + 406*p**2 - 16997*p + 132. Determine z(59).\nAnswer: -163","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f\/(f*f**(-1\/16))*(f\/(f\/(f*(f**(-14)*f)\/f))*f)\/f*(f**5*f)\/f*f**(-16) assuming f is positive.\nAnswer: f**(-383\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -j**5 - 530*j**4 + 4873*j**3 + 11858*j**2 = 0.\nAnswer: -539, -2, 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 540 = 5*v, -3*f - 3*v - 227 - 115 = 0. Let j = f + 69. Is (2 + 0)\/((-12)\/j) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.1 (b) 10\/11 (c) -5 (d) 7 (e) -1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -76\/63 and ((-4)\/36)\/(3\/(-144)).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1158189 - 0.681.\nAnswer: -1158189.681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -63\/2165 (b) -75\/8 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/3*g**3 + 5\/3*g**2 + g - 1\/3*g**4 + 0.\nAnswer: -g*(g - 3)*(g + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the third derivative of l**5\/20 + 1484*l**2. Let x(b) = -b**2 - 4*b. Determine d(x(u)).\nAnswer: 3*u**4 + 24*u**3 + 48*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 13*w + 3 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 3*c**2 + 2161*c + 12924. Calculate u(-6).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w = -5*a - 5, -98*a - 5*w - 37 = -102*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the first derivative of v**4\/4 + 7*v**3 + 4*v**2 + 17*v - 6. Let q be x(-16). Suppose -k = -2*k + q. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n - 0 + 15. Suppose -34 = -n*q + 2. Solve -q = 5*m + 8 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 145?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (5\/(-3) - 1875\/225)\/(-10). Let t be (-4)\/14 - 2\/(-7). Are h and t equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54.62963 decades in millennia?\nAnswer: 0.5462963","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 18150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 2128896 (b) 1\/9 (c) 1 (d) 2 (e) 3 (f) 0.1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 21.182 - 0.13?\nAnswer: 21.052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4712328 a multiple of 561?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(7) + (sqrt(35)\/sqrt(5))**2 + 1 + (sqrt(28)\/sqrt(4) + 2)**2 + (-1*sqrt(7)*2 - (sqrt(7) + -2 + sqrt(343))**2).\nAnswer: -433 + 35*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*p + 840 = 4*p. Let z = p - 61. Let h(t) = 2*t**3 + 12*t**2 + 3. Let f be h(-6). Sort -3, z, f, 0.\nAnswer: -3, z, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -145.139373 + -1026.2\nAnswer: -1171.339373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6856*s + 6856*s + 1905*s**2.\nAnswer: 1905*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.26 and 8794053014.7?\nAnswer: 8794053014.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-100)\/(-12))\/((-35)\/(-15) + -2). Let x be 2\/4*(d + -11). Calculate the highest common divisor of x and 469.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5, 1, 5, -41, -22 in decreasing order.\nAnswer: 5, 4, 1, -5, -22, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes before 9:39 AM?\nAnswer: 11:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.292 + 1.03. Let l = x + 0.26200214. Round l to seven dps.\nAnswer: 0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1460192388 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 smaller than 1\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5152149472?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 18551008 at most as big as 18550996?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -390 greater than or equal to -390?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 7*u + 4*r - 17 = 0, -2*u + r - 1 = 0. Let d = -5254\/1677 + -1\/2795. Find the common denominator of u - -1 - 48\/(-81) and d.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:35 AM and 2:26 AM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -120.902 rounded to the nearest integer?\nAnswer: -121","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 13? (a) 19 (b) 5 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j - 58 + 46. Put -2, j, -10 in decreasing order.\nAnswer: -2, j, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 - -1. Let i = a + -6. What is the derivative of 0*z**2 - 6*z**2 + z**i - 2 wrt z?\nAnswer: -10*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1752 and 19056?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1152747 a multiple of 349?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18 - 16. Solve -15 = s - 7*a + 2*a, 2*a - 18 = -r*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000521583 rounded to 5 dps?\nAnswer: 0.00052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14916164 is divided by 29.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -763*o**2 - 288958*o + 1145*o**2 + 288958*o + 998*o**2.\nAnswer: 1380*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.1 + 0.1. Let y = 0.4 - k. Let r = -0.4 + y. Which is the smallest value? (a) 5 (b) r (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1b5086 + 16?\nAnswer: -1b5070","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -128 - -131. What is o in 147 - 46*o - 24*o**b - 3*o**4 - 2*o - 162 - 54*o**2 = 0?\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.131 - 162.269. Let s = l - -159. Is -0.2 greater than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d + 0*d - d)*(-10 - 1 + 4)*(12*d - 4*d - 4*d + (2 + 0 + 0)*(0 + 0 + d)).\nAnswer: 168*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -328 - -577. Let l = j + -249.5. What is the nearest to -1\/10 in 0.2, l, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**2 + 16*w - 50. Give i(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/(16 + 194)*-36?\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a micrometer in nanometers?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-32)\/10)\/(((-268)\/(-469))\/((-675)\/35))?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 112, 106, 98, 88?\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t**4\/2 - 1191*t**3\/2 + 74619*t**2 - 2800818*t - 5904900 = 0. What is t?\nAnswer: -2, 75, 162","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 28628 at least 28623?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1e465 (base 16) to base 2\nAnswer: 11110010001100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2672133?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x - 1. Let m(u) = u**3 - 11*u**2 - 11*u - 10. Let i be m(12). Suppose -i*p + 1 = -9. What is j(p)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -87*m. Let k(q) = -9629*q**2. What is k(x(n))?\nAnswer: -72881901*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (2 - -16)\/((-12)\/(-8))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*o - 5. Let h(u) = -2*u**3 + 10*u**o + 3*u**3 + 11 - 1 + 11*u. Let q be h(-9). What is the biggest value in q, -1\/5, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -23.586 - -0.486. Let s = q + 23. Which is the nearest to -2? (a) s (b) -5 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20921*g + 10461*g + 5 - 3 + 10458*g.\nAnswer: -2*g + 2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -3*o**2 - o + 1. Let w(b) = 16*b**2 + 10*b - 3. Determine 4*l(z) + w(z).\nAnswer: 4*z**2 + 6*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 6096955 rounded to the nearest one hundred thousand?\nAnswer: 6100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 5*u + 67 = 0, 3*j + 76 = u + 21. Let c = j + 26. Solve -16 = c*d - 3*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, -1, -5, -4.\nAnswer: -16, -5, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.158 - 0.02. Let f = x - 24.738. What is f rounded to 0 dps?\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ihiiiiiihi. Give prob of sequence ihih.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 680 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4991 is divided by 48?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes before 8:22 AM?\nAnswer: 12:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -25 + 24.9. Let p = 0.4 - 0.3. Which is the second smallest value? (a) p (b) o (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/135*240\/288.\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -18*k. Suppose -5*l + 2 = y, 3*y + 6 = 6*y + 4*l. Let w(n) = -15*n**2 - 17*n**2 + 34*n**y. Calculate o(w(s)).\nAnswer: -36*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5\/4 - -1. Put -5, -3, a in decreasing order.\nAnswer: a, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((32\/20)\/2)\/(5\/(-25))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**12\/(a\/(a\/(((a*(a\/(a\/a**7))\/a*a)\/a)\/a))*a))\/(a\/a**(-18)*a*a\/(a\/a**(-16))*a) assuming a is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - 4 = -12, 0 = 76*t - 86*t - 2*k - 54 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -2\/11 (b) 6\/61 (c) 3 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 215 a factor of 4943632?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-15)\/3*2\/(-6)*-3. Let g be -3 + 4\/14*(-448)\/(-48). Let m be 6\/(-14) + (-15)\/(-84). What is the nearest to g in p, m, -1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 2*i - 3*c - 12, -4*i + 4*c + 24 = 0. Calculate the lowest common multiple of 7 and i.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:24 AM and 7:04 AM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**2 + 5*y + 7. Let i be z(0). Is ((-3)\/(-18)*-2)\/(i\/(-1491)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/5 - 6001\/(-5). Suppose -3*u + t = -2*u - a, 5*u - 6000 = -2*a. What is u rounded to the nearest one hundred?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5.099*196.\nAnswer: 999.404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 5 = x. Suppose x*w - 24 = 51. Calculate the lowest common multiple of 7 and ((-10)\/w)\/((-2)\/15).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 58 in 0.6, 59.5, -0.3, -2?\nAnswer: 59.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*o + 2*o - 5*o + (-2*o + 4*o - 4*o)*(-1 - 4 - 2).\nAnswer: 16*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/21 and -5 + 8 - (-34)\/(-21) - 1.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-3)*(-5)\/(-5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17142 - 17134. Calculate the greatest common factor of s and 1532.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yexx when four letters picked without replacement from {y: 4, e: 2, m: 1, r: 4, x: 3}?\nAnswer: 2\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*z + 3*o = -9*z - 14, -2*z + 13 = -o. Solve 2*w - 5 - 4 = 5*x, x = 2*w - z for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*p + 367 - 1082 = 0 for p.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54*g + 30*g - 151*g + 56*g - 9.\nAnswer: -11*g - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 + 0.08?\nAnswer: 132.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -100, -111, -130, -157, -192, -235?\nAnswer: -286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 749, 1355, 1829, 2171, 2381, 2459?\n\"Answer: -66*d**2 + 804*d + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.895 + -0.105. What is the closest to z in -2\/7, -2\/3, 2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8\/17 in 0.4, -0.97, -0.02, -0.3, 4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 - (-1 - (-3 + -6)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 213 = 5*q + 5*s, s - 3 = 0. What is the tens digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1589872?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2 and 5300686?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 7*d - 6*d. Suppose -4 = -x, -4*f - x + d = 110. Let p be ((-33)\/12)\/((-5)\/(-40)) - 1. Is f at most p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the second derivative of -9*i**5\/110 + 10*i**4\/33 - 13*i**3\/33 + 2*i**2\/11 - 37*i. Suppose p(z) = 0. Calculate z.\nAnswer: 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4848 is divided by 77.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -2*t**2. Let m be (-3)\/18 + (-8094)\/36. Let a = m + 363. Let g(c) = -5*c**2 - 138*c + a*c - 5*c**2. Determine k(g(h)).\nAnswer: -200*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 296 and 222?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*f, 0 = 2*m + f - 241 - 146. Let n = m - 108. List the prime factors of n.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 5 = -r - 9*c, -3*r + 23 = -4*c. Solve -a = 5*b - 20, -2*b = r*a - 0*b + 15 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10306*h**3*l**3 - h**3*l - 10*h**3 - 153*h*l - 8*l**3 + 2*l + 3 wrt l.\nAnswer: 61836*h**3*l - 48*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*m*u**3 - 334*m + 4135*u**3 with respect to m.\nAnswer: 2*u**3 - 334","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 2*z + 4 = 0, 0 = 2*y - y + 3*z + 5 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1222 (base 4) to base 16\nAnswer: 6a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -7\/87091, -1\/4, 5 in descending order.\nAnswer: 5, -7\/87091, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5338907 is divided by 695.\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7*-1.3.\nAnswer: 9.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 56 + 5*t**2 - 114 + 58 - 5*t = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -31496, -31479, -31462?\nAnswer: -31445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 14742564 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6.8135 + 6.78. Let p = -0.9665 + r. What is the nearest to -0.5 in p, -5, 8?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -277*k + 13*v = -274*k - 14, 4*k + 2*v + 20 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yhy when three letters picked without replacement from jyyjhyhj.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11382.\nAnswer: 2, 3, 7, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4023 (base 16) to base 10.\nAnswer: 16419","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -26317 or -815869\/31?\nAnswer: -815869\/31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6\/17 in 389, -10, 4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 - -111000110101?\nAnswer: 111000110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 259 - 220. What is the greatest common factor of 13 and n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from {h: 5, k: 7}.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -125886 divided by -396.\nAnswer: 20981\/66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the first derivative of -z**3 + 0*z**4 - 2\/7*z**7 + 0*z**5 + 0*z + 0*z**2 - 3 + 0*z**6. What is the third derivative of q(g) wrt g?\nAnswer: -240*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(108) + sqrt(108) + (sqrt(108) - (sqrt(108) + (-2*(-2*sqrt(108) + sqrt(108)) - sqrt(108)) + sqrt(108))))\/(-2*sqrt(24)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**3 + 7*w**2 - 11*w - 6. Let n(q) = 1. Let s(p) = m(p) - 4*n(p). What are the prime factors of s(-8)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v**2 + 2*v**2 + 0*v**2)*((-2 - 1 + 4)*(5*v - 2*v - 4*v) + 3*v - 4 + 4) + 0*v**3 - 2*v**3 + v**3.\nAnswer: 3*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 8636.787mg in micrograms?\nAnswer: 8636787","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -80 + 82. Solve 2*r - 10 = 7*r + 5*a, -v*a = r + 5 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (10\/(-3))\/5*(-1)\/6\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 39762*h**3 + 124644*h**2 - 146248*h - 524176.\nAnswer: 2*(h - 2)*(141*h + 362)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 9944404?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 349*q**3 + 7*q**2 + 10763 wrt q?\nAnswer: 1047*q**2 + 14*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**3 - 11*r**2 - 14*r + 29. Let k be z(12). Let h be 34\/1 + (3 - 6) + k. Suppose -h = -3*j + 165. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3\/(-9) - 842\/(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 633209 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/((i\/(i*i*i**(1\/14))*i)\/i))\/i*(i\/(i*i*(i**2\/i*i*i)\/i*i*i*i))\/i)**13*((i\/((i*(i**(-3)*i*i)\/i*i)\/i))**(20\/9))**30 assuming i is positive.\nAnswer: i**(2363\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 677381\/74 equal to 9153?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k - 2. Let l(w) = 2*w + 3. Let r(n) = -n - 1. Let m(x) = 6*l(x) + 14*r(x). Calculate -5*g(v) - 2*m(v).\nAnswer: -v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 5*p**2 - 97*p**2 + 1250*p - 1261*p - 11 + 3*p**2. Let b(j) = 30*j**2 + 4*j + 4. What is -11*b(w) - 4*i(w)?\nAnswer: 26*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/30227668 and 10\/497761?\nAnswer: 332504348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(252) - -5*(sqrt(252)*1 - sqrt(252)))**2 - ((sqrt(252) - (sqrt(252) - (sqrt(252) + sqrt(252) + 0)**2)) + -3 + 0).\nAnswer: -2265","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 100721, 805745, 2719303, 6445661, 12589085, 21753841, 34544195, 51564413?\nAnswer: 73418761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the second derivative of -i**4\/54 + 160*i**3\/27 - 6400*i**2\/9 + 915*i. Factor t(w).\nAnswer: -2*(w - 80)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4303707099?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1110011 (base 2) in base 15?\nAnswer: -7a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -86*i**2 - 7*i - 6. Let h be c(-1). Let a = 245 + h. What is the greatest common factor of a and 128?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16422 and 1728174?\nAnswer: 966","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 103153.58 rounded to the nearest 10000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 1958, -2, -3, -8 in ascending order.\nAnswer: -8, -7, -3, -2, 1958","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1.2*-2939041\nAnswer: -3526849.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 9229.287 micrometers in kilometers?\nAnswer: 0.000009229287","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4 + 1\/2*s**3 + 4*s**2 - 1\/2*s.\nAnswer: (s - 1)*(s + 1)*(s + 8)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10737*d = -10707*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1484 or 187.6?\nAnswer: 1484","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k - 1. Let d(u) = 76*u**2 + 12*u + 12. Calculate -d(j) - 12*s(j).\nAnswer: -76*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate p**3 + 10*p**2*y - 32203*p + 51569*y - 25 with respect to p.\nAnswer: 3*p**2 + 20*p*y - 32203","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2704215701 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4131553 is divided by 62.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1295131.\nAnswer: 1295131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 + 8. Let n(v) = 10*v - 4. Let q(x) = -11*x + 3. Let w(y) = i*n(y) + 4*q(y). Let o(z) = -2081*z**2 - 2081*z**2 + 4161*z**2. What is o(w(s))?\nAnswer: -196*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/14*(-1267)\/905)\/(-1*(-4)\/(-150))?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -153533 (base 7) in base 16?\nAnswer: -759e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 11\/13 - 1 - (-1608)\/312. Suppose 5 = -2*h + y*k, 3*k + 1 = 4*h + 4*k. Let p(v) = -v**3 - v + 4. Let q be p(0). Sort h, q, -4 in increasing order.\nAnswer: -4, h, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*v + 16*v - 8*v**2)*(0*v + v + 2*v)*(-v**2 - 3*v**2 + 5*v**2).\nAnswer: -24*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.047 times -9\nAnswer: 0.423","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 28159 by 11071.\nAnswer: 28159\/11071","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yhlhyjhjh. What is prob of sequence hl?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 299907132.\nAnswer: 2, 3, 7, 17, 210019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 479508, 959022, 1438536, 1918050, 2397564, 2877078?\n\"Answer: 479514*c - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -621 - 1?\nAnswer: -622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*4\/(3784\/22).\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**3 + 8*r**2 + 18*r - 6. Suppose 5*h + 16 = -g, 41 = 4*g - 2*h + h. Calculate the remainder when x(g) is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9.7051 + -2.2339. What is a rounded to 0 dps?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 + (1 - (-1 - 8))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-4))\/((-5)\/((-20)\/6))?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -6*z**2 + 7*z**2 + z - 5*z. Let s(j) = j. Let c(t) = -2*o(t) - 4*s(t). Find the second derivative of c(y) wrt y.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 139.6017 rounded to one decimal place?\nAnswer: 139.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 599317 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-135)\/12 - (64\/(-2) - -21). What is the closest to 2\/15 in 97, s, -2\/7?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4587 + 4585. What is the fourth biggest value in -1\/29, c, -0.3, -0.4, -9\/4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*y - 33*y = -188 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -27 - 38272?\nAnswer: -38299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (17\/(-2210)*-39)\/(4\/4 - 0)?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tdtddtltdtdtttty. Give prob of picking 3 d and 1 l.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 z when two letters picked without replacement from rzru.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -322480 or -322477?\nAnswer: -322477","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 486149196 plus -5?\nAnswer: 486149191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkk when three letters picked without replacement from kqkmmmmmqmkmkmqqkmm.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25696249?\nAnswer: 71, 361919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 10463*s - 5 - 797*s.\nAnswer: 9666*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*k + 870 + 120 = 0. Let f = 110 - k. What is the highest common divisor of f and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 14379027*j**3 + 2060359?\nAnswer: 43137081*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7673 = 13*q - 400. Does 69 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes before 11:17 AM?\nAnswer: 3:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(32) - -1*sqrt(32))*4 + -4)**2.\nAnswer: -256*sqrt(2) + 2064","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 + 11120251?\nAnswer: 11120244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4199008380.741585263 - -4199008379. Let h = 99.741589163 + w. Let g = -98 + h. Round g to six dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 310487 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/1 + (-3 - 110). Let x = 25 + t. Is x > -84?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 13*r**4 + 3*r**3 + 11*r**2 + 12*r**3 + 10*r**3 + 3*r**5 + 2*r - 6*r**3.\nAnswer: r*(r + 1)**2*(r + 2)*(3*r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 3016, 2, -3, -34?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 3 - 6 + n**3 - 2*n**3 + 4*n - 6*n**2. Let v be g(-6). Let f be 18\/v - (-4)\/15. What is the second smallest value in 2, 0.3, f?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:06 PM and 12:23 AM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + 1330?\nAnswer: 1320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**3 - 7*v**2 - 6*v + 6. Let k be b(-6). Let h(o) = o**2 - 6*o + 1. Determine h(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (11 + (5 - (5 + 18))).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 736?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 27 + -24. Let g be (-616)\/(-21) - x\/9. Suppose -g = c - 2*c. Solve 0 = -2*p - 2*a - 16, -p = -5*p - 3*a - c for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*o + 2*o. Let c = -69 + 37. Let u = c + 36. What is the nearest to o in 3, u, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xm when two letters picked without replacement from hxxxmmhxmhhhxhhmmxm.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 11764*w + 5765*w - 3604*w + 1.\nAnswer: 13925*w - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -169 and -36807.9.\nAnswer: 6220535.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 202, 205, 208?\n\"Answer: 3*q + 199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the third derivative of -a**4\/24 + a**3\/6 + 3*a**2. Let d be s(1). Suppose 2*q + r - 1 + d = 0, -2*r - 19 = -3*q. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 + 5. Find the third derivative of 0*x + c*x**2 + 3*x**3 + 0*x - 13*x**2 wrt x.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.06 + -2.94. Let o = -0.7 + -1.3. Sort 4\/7, q, o in descending order.\nAnswer: 4\/7, o, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/r**(-2\/5)*r)\/r*r)**(-34))**(-4\/17)\/(((r**1\/r)\/r)**(-45))**(2\/5) assuming r is positive.\nAnswer: r**(6\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5132 is divided by 200?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2894164 and 728.\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10)\/(-1*sqrt(5)) - ((sqrt(1176) + sqrt(24))\/sqrt(12) + sqrt(2))) + ((sqrt(18))**2 + -4 + sqrt(2) - ((sqrt(20)\/sqrt(2) + sqrt(10))\/sqrt(5))**2)*1.\nAnswer: -9*sqrt(2) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**3 - 7*u**2 - 5*u - 10. Let h be n(-7). Suppose h = 9*c - 155. Calculate the smallest common multiple of c and 320.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1142798 is divided by 29293.\nAnswer: 371","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 60017157 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 25\/2 of a millimeter?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + 23 = -8*p, 4*p - 1 = 30*z - 29*z for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 17919 and 438.\nAnswer: 2616174","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3619561?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**3 - 904*t**2 + 43183*t + 105644.\nAnswer: -(t - 44)*(t + 343)*(3*t + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -634, -1874, -3940, -6832, -10550?\nAnswer: -15094","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dzbcnnc. Give prob of picking 1 d, 2 b, and 1 c.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8113140?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 138?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 0.1, 6, 47, -1.4, -2, -5, -0.33?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*n + 2*n - 4*n)*(2 - 1 - 3)*(4*n**3 + 5*n**3 - 7*n**3).\nAnswer: 24*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aallliaaylllyllliy. Give prob of sequence yl.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1201, 2409, 3629, 4867, 6129, 7421, 8749, 10119?\nAnswer: 11537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5786010611 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 15368 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 26063 + -26065. Let u(w) = -2*w**3 + w**2 - w + 1. Let l be u(1). Sort -1\/4, v, 5, l in decreasing order.\nAnswer: 5, -1\/4, l, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 = -8*b + 10*b. Let x = -3 - b. What are the prime factors of x?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4210, 8399, 12588, 16777?\nAnswer: 20966","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1187761 is divided by 297?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 304624570 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -84 - 30553.228826.\nAnswer: -30637.228826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 (base 2) in base 13?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 4*q + 3 = 0. Let h be 9 - (1 + q + 0). Let c(g) = -5*g**3 + 6*g**3 + 1 + 4*g - 2*g**3 - 8*g**2 - h*g. Give c(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(60\/8)*(-13)\/(-26)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1130 (base 8) to base 4\nAnswer: 21120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (99418\/(-325368))\/((-22)\/(-4))*12\/10?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 - 33. Let a be 3366\/(-255)*(-10)\/(-4)*(-71)\/(-3). List the prime factors of (-3)\/y*-2 + a\/(-4).\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 1833?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 461 at most as big as 15635\/34?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 divided by -1492?\nAnswer: 3\/373","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 0*y**2 + 4*y**2 + 7*y**2. Let f(b) be the first derivative of -b**3\/3 + 7657. What is -5*f(n) - q(n)?\nAnswer: -6*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1177527?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes after 7:51 PM?\nAnswer: 7:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 908*s. Let u(c) = 3*c. Determine r(u(q)).\nAnswer: 2724*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -8*n + 7. Let x be q(10). Let k = -9 - x. Suppose -v - 3*h + 22 = -6*h, 4*h = 4*v - k. What are the prime factors of v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/(-12)*5\/(25\/(-15))?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -14 greater than or equal to 8.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**2 + 2 - m**3 + 3 - 19 + 2*m + 5 + 8. What is f(-2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 5, i: 5}. Give prob of picking 3 i.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1171944617 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n\/n**(-1\/7)*n)*n*n)\/(n*(n**(-14\/5)*n)\/n))\/(n**18*n*n*n*n\/(n**(-1\/16)\/n)) assuming n is positive.\nAnswer: n**(-11427\/560)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**3 + 1. Let l(d) = 36*d**3 - 3*d**2 - 5. Give -l(b) - 5*z(b).\nAnswer: -41*b**3 + 3*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10056?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the second derivative of t**5\/270 + t**4\/108 - t**2 + t. Let j(w) be the first derivative of p(w). Let j(i) = 0. What is i?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1100000000001111100 (base 2) to base 15\nAnswer: 7b82a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lp when two letters picked without replacement from {p: 2, l: 3, z: 4}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**(-1\/13)*j)\/j**(-13))\/(j**4*j\/(j*(j*j*(j**(1\/4)\/j)\/j*j*j*j)\/j*j*j)*j) assuming j is positive.\nAnswer: j**(745\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -2*c**3\/17 - 90974*c**2\/17 - 636704*c\/17 + 727680\/17 = 0?\nAnswer: -45480, -8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -21172.\nAnswer: -5\/21172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 435934?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(637) + 1 - (3*(sqrt(325) + sqrt(13) + sqrt(13)))**2.\nAnswer: -5732 + 7*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9900, -39564, -88994, -158190, -247152, -355880, -484374?\nAnswer: -632634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3436 by -859.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*f + 685415 = -54*f + 39*f. Calculate the remainder when f is divided by 76.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s**2 + 2*s**2 + 3*s**2)*(-s**2 - 4*s**2 + 3*s**2) + (2*s**4 - s**4 - 2*s**4)*(64 - 51 - 53).\nAnswer: 30*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14 - 5437031*z - 10 - 4.\nAnswer: -5437031*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*n**3 - 219*n**2 - 2*n**3 - 18*n**2.\nAnswer: -2*n**3 - 237*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2494, -12110, -28126, -50542, -79358?\nAnswer: -114574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 28, 216, 686, 1576, 3024, 5168?\n\"Answer: 23*s**3 + 3*s**2 + 18*s - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 678518, 678520, 678522, 678524, 678526, 678528?\n\"Answer: 2*i + 678516","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 21389 and 73.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -93*h + 13*h + 2753920. Does 104 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 41606\/861 or 48?\nAnswer: 41606\/861","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k + 5*f + 1, -17 = -5*k - 2*f - f. Suppose v - 6 = k. Let j(n) = n**2 - 8*n - 6. List the prime factors of j(v).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, -0.5, -0.2, 0.11 in descending order.\nAnswer: 1, 0.11, 0, -0.2, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the second derivative of j**3\/3 - 2*j**2 - 14*j. Let l be t(3). Is -10 > l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -77e (base 16) to base 6\nAnswer: -12514","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 - -0.08647?\nAnswer: 13.08647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 6*h - 3*h - h. Let b(c) = 7*c**2. Let a(s) = -6*s**2. Let j(z) = -5*a(z) - 4*b(z). Give g(j(l)).\nAnswer: 4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1287164399 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -15111, -15118, -15127, -15138, -15151?\n\"Answer: -z**2 - 4*z - 15106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -28 - -31. Suppose b = u - 0, 5*u = -j + 17. Let -1\/6*a**j + 0 - 1\/3*a = 0. What is a?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-84)\/(-567)*-1*9\/(-12). Which is the closest to u? (a) 0.2 (b) -3 (c) 4\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-35)\/(-4))\/(-5)*-4. Let l = r + -5. Let d = 145 - 135. Solve 4*f - 3*j + 0*j - d = 0, -l*f = 2*j - 12 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10 - -8. Suppose i - w = 3*i. Let k = -4 - i. Solve -6 = -3*z + 6, -k*x - z - 6 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -57\/294244 and 47\/896.\nAnswer: 65910656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:54 AM and 11:21 AM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x = -4*d - 20, 81*x + 2*d + 10 = 84*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*6*((3*sqrt(17) + sqrt(17) - sqrt(17)) + -2)*6 + -2 + 2.\nAnswer: -648*sqrt(17) + 432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4584248395 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2084 - 6*m + 1033 + 1051.\nAnswer: -6*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-5 + (-5 + 1*sqrt(300) - -3*(sqrt(300)*-1 - sqrt(300) - sqrt(300))))**2*-5.\nAnswer: -193000 - 16000*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 187 and 286?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 2*z**3 - 2*z**2 - z + 3. Let a be t(3). Suppose 4*s = s + a. Solve -s = -4*n - 0*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: d90bc (base 14) to base 7\nAnswer: 4312325","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**3 - 4*c**2 - 2*c - 11. Let m be r(5). Suppose -3*a + m*a = 0. Round a to the nearest ten thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 21 and 634564?\nAnswer: 1903692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 4926, 0.0188, -0.3, 3 in increasing order.\nAnswer: -0.3, 0.0188, 3, 4926","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 + -16a160?\nAnswer: -16a160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -4*w + 43958, 2*w - 26374 = 3*j - 6*j. Is j\/5 + (-1 - -2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**2 + 7*d + 19. Suppose 6*z + 18 = 8*z. Let p be w(z). Solve -o - p = 0, 3*r - 2*r - 2*o - 1 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 27*q + 83. Let n(z) = 29*z + 86. Calculate 6*n(g) - 7*s(g).\nAnswer: -15*g - 65","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 462434, 462435, 462436, 462437?\nAnswer: 462438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 1 - 33*v + v**2 + 16*v + 19*v. Let i be -3 + 6\/3 + 0. Calculate m(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10689 is divided by 206?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 119, 132, 151, 176, 207?\n\"Answer: 3*x**2 + 4*x + 112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from senennnnsesnnensnen. What is prob of picking 1 n and 1 e?\nAnswer: 50\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13058 + 3*j**2 - 4357 - 4347 - 4354.\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -4*n + 4*z + 49, 33*n - 2*z = -8*n + 3*z + 430 for n.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 669558.\nAnswer: 2, 3, 111593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 60060?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.1355545 millilitres?\nAnswer: 0.0001355545","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 48 = 2*l. Calculate the highest common divisor of l and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + 3*w + 0*w = 20, 3*p = -2*w + 14 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/26968730 and -23\/30?\nAnswer: 80906190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4\/7 (b) -4 (c) -2\/3 (d) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 367652\/19 + -19350. What is the nearest to 10 in o, -2\/27, -3\/8?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a litre in millilitres?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000001101110100000011 + 10010111?\nAnswer: -1000001101110001101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 109.2 rounded to the nearest ten?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 80081 and 4599.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 + 20. Suppose 0*k = 3*k + 2*t - 566, 0 = 5*k + t - 955. Let c = k - 144. What is the remainder when c is divided by j?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h + 4. Suppose -3*g - 9 = -2*l - 6*g, 5*l + 10 = -g. Let w be y(l). Is (w - (-1)\/(-2))*62 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**3 - 4*p**2 + p + 4. What is j(3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13397632 and 45064.\nAnswer: 1048","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v. Let x(o) = -181234*o + 181234*o + 572*o**2. Determine f(x(i)).\nAnswer: -572*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 14 divided by 127671\nAnswer: 14\/127671","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Total of -28.446294 and 0.1.\nAnswer: -28.346294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-36)\/15 - 2\/(-5). Let y be (-1)\/((-2)\/8) + q. Let c = y + 2. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1937575, 1937583, 1937581, 1937563, 1937523, 1937455?\n\"Answer: -j**3 + j**2 + 12*j + 1937563","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -21342 and -0.5.\nAnswer: 10671","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 336 + -548. Calculate the lowest common multiple of 9 and 60\/90 + l\/(-6).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3677 - -678. What is the thousands digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**3 + 2*l**2 + 3*l - 1. Let z be w(2). Let d = -0.1 - 4.9. Let s(i) = i**2 + 17*i + 71. Let q be s(-9). What is the closest to q in z, d, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -50745 (base 10) to base 11\nAnswer: -35142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) 87\/4 (c) -0.3 (d) -2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -382099?\nAnswer: 2\/382099","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -200*164\nAnswer: -32800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 37 - 13. Factor 0*u**2 + 7571*u - 4*u**2 + z - 7567*u.\nAnswer: -4*(u - 3)*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(325) - (-4 + sqrt(325) + 1)))**2 + (-1*1*sqrt(143))\/(-4*2*sqrt(11) + sqrt(11) + sqrt(11)).\nAnswer: sqrt(13)\/6 + 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 768.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w - 2*y = -4*w + 311 - 327, 0 = -2*y + 10 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ekeieie. Give prob of picking 1 e and 1 k.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13 + -15. Let j(z) = z**2 + 1. Let o(q) = 1 + 502*q + 4*q**2 - 502*q + 2 + 1. Calculate v*o(u) + 6*j(u).\nAnswer: -2*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add together 4437126210 and 0.18.\nAnswer: 4437126210.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -4*q**2 + 2*q - 2. Let n(h) = -17*h**2 + 9*h - 9. Let g(j) = -6*j**3 - 2*j**2 - 4*j - 3. Let m be g(-2). Let x = m - 54. Calculate x*t(d) + 2*n(d).\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -687900 rounded to the nearest 100000?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, 5, 77, 2.\nAnswer: -5, -1, 2, 5, 77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1794, -1795, -1796, -1797, -1798?\n\"Answer: -j - 1793","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -56, -66, -78, -92, -108, -126, -146?\n\"Answer: -b**2 - 7*b - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -89*k**2 + 57*k**2 - 37*k**2. Let p(i) = 2*i**2. Calculate p(b(t)).\nAnswer: 9522*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*p + 18 + 59. Suppose j + p = 14. Calculate the remainder when 3 is divided by j.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c + 4*c = -136. What are the prime factors of c?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 60.83115ns to microseconds.\nAnswer: 0.06083115","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + y = -132. Let n(j) = -3*j**2 + 37*j - 58. Calculate the lowest common multiple of n(10) and y.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1212610 and -0.069.\nAnswer: -83670.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.15 (b) 0 (c) 0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -30, -125, -284, -507, -794, -1145, -1560?\n\"Answer: -32*p**2 + p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -26543.9 and 3373.1?\nAnswer: 29917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 a factor of 631848?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -417*m**3 + 174*m**3 + 59*m**3 + (-5*m**2 + 4*m**2 + 4*m**2)*(-6*m + m + 0*m) - m**3 - 2*m**3 + 5*m**3.\nAnswer: -197*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -5287.7 rounded to the nearest one thousand?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10347 is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.6085 to one dp.\nAnswer: -2.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(-3\/10)*q**4*(q*q\/q**5)**(-3\/14))**(-9) assuming q is positive.\nAnswer: q**(-1872\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -6 + (-315)\/(-14) + 42\/(-12) + 2. Let u = -0.02 + 0.62. Which is the closest to u? (a) 1\/3 (b) 4 (c) r (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 78017?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w + 36. Let y be o(35). Let i = -141\/4 + 35. Let x = 10 + -15. What is the nearest to 1\/2 in x, i, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 41454086 - 41454086 + h. Let y(s) = 1. Let r(n) = -n**2 - 5. Let o(t) = r(t) + 5*y(t). Calculate o(l(x)).\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 15892623*l**2. Let h(z) = -z. Give h(u(v)).\nAnswer: -15892623*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 441212?\nAnswer: 2, 73, 1511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**1\/(l\/(l\/((l\/l**(-4\/9))\/l))))\/((l*l**(1\/10)*l)\/(l*l**(-3\/8))))\/((l*l**(-3)*l*l*l\/(l*l**2))\/(l**0)**(-40)) assuming l is positive.\nAnswer: l**(389\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -18 + 21. What is the third biggest value in 0.2, 4, c, -2\/7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 16*(1 - (-21)\/(-12)). Let u = 11 + a. List the prime factors of ((-16)\/u)\/4 + 52.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 5, -1.5, 3\/101?\nAnswer: 3\/101","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*p**3 - 311 + 6*p**2 + 311 wrt p?\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1064*m = 1034*m - 2157*m + 1003 for m.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000000157514 to seven dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*a**3 - 741*a**2 + 4419*a\/5 - 1323\/5.\nAnswer: (a - 147)*(5*a - 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 12311714 from 123.\nAnswer: -12311591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7.2 or -11\/5?\nAnswer: 7.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 3*r + 18 = 0, 0*i - 4*r = 5*i - 27. Suppose i*n - 414 = -3*h, -4*n - 400 = 2*h - 5*h. Suppose b = 5*b - h. Is 9 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11409403 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 55177 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k - 3. Suppose 360 = -26*o + 100. Calculate p(o).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9912 minus 238770?\nAnswer: -228858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a + 5. Suppose -5*j + 3*j - 4*b = -20, -5*j + 14 = -2*b. Suppose 5*c - 4*k = 44, j*c - 4*k - 34 = -2*k. What is i(c)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 105*v + 3770 = -122*v - 50*v + 342*v for v.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, -2\/7, -2\/3, -0.6, -449.\nAnswer: -449, -2\/3, -0.6, -2\/7, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 6\/29 - (-9878112)\/(-51104844)\nAnswer: 2\/147","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -184*d**4 + 2*d**3 - 6*d**2 - 42*d + 2990090 wrt d?\nAnswer: -736*d**3 + 6*d**2 - 12*d - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 115 = -o + 114. Let i(g) = -4*g**2 - 2*g + 5. Let m(b) = b - 1. Let s(y) = o*i(y) - 5*m(y). Let l(j) = 9*j**2 - 7*j - 1. What is 2*l(v) - 5*s(v)?\nAnswer: -2*v**2 + v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -117*t - 4209. List the prime factors of l(-56).\nAnswer: 3, 11, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 4, d: 8, e: 1}. What is prob of sequence bb?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 z when four letters picked without replacement from {z: 14, q: 1}.\nAnswer: 11\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/2, -3, 11355, 0.1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3518 is divided by 666.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0.2, 2, 1.5, -0.7 in descending order.\nAnswer: 2, 1.5, 0.2, -0.7, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 151 + 107. List the prime factors of p.\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 9 - (-7 + (-8 - -21)). Solve -2*j - 2*w - 11 + d = 0, 5*j = 2*w - 13 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 906307 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 316*h + 84. Let g be m(-5). Let l = -1045 - g. List the prime factors of l.\nAnswer: 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20789 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 345644887?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 0.3 (b) -1.5 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.077279 to 4 decimal places.\nAnswer: 0.0773","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*d - 12 = -3*j + 19*d, -5*j - 4*d + 19 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 380 and 959747.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-180)\/495 + 140\/22. Let i(b) = b**3 - 7*b**2 + 7*b - 9. Determine i(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the second derivative of -1034*s**3\/3 - 1123*s**2 - 1887*s. What is the first derivative of g(b) wrt b?\nAnswer: -2068","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -32*k - 377. Let n be i(-48). Let g = 1711 - n. What are the prime factors of g?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 3, -43094 in decreasing order.\nAnswer: 3, -0.5, -43094","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24 divided by -8.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the third derivative of -5*v**5\/12 + v**4\/12 + v**3\/6 - 2*v**2 + 50. Give l(-1).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 58847706?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 6*m - 10. Let w be (-34 + 4)\/(-5) + -1. Let y(v) = 9*v - 16. Let c(b) = w*y(b) - 8*a(b). Let x(u) = -22*u**2. Determine c(x(l)).\nAnswer: 66*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -3*m - 14, 4*m = -4*f + f - 2. Let t be -3*(-1)\/f*2. Factor -2*s + s**2 + t*s**2 + 1 - 3*s**2.\nAnswer: (s - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2211 is divided by 528.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5.084 - -0.084. Let g = 4 - 1. Which is the second biggest value? (a) 0.5 (b) g (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -431, -3, 0, 18.\nAnswer: -431, -3, 0, 5, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -51\/35 and -19\/55.\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 12 = o, -t = -3*o - 3 - 0. Suppose 2*s + o*s - 10 = 0. Suppose s*b + 10 = 0, 0*b + 81 = 5*h - 3*b. What are the prime factors of h?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000171212 rounded to 7 dps?\nAnswer: 0.0000171","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2451 - 25?\nAnswer: 2423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 4303 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*s + 36332 = 9*s - 79*s. Which is bigger: -2\/9 or s?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 634599 plus 6781908?\nAnswer: 7416507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 954799611?\nAnswer: 3, 17, 53, 353237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 555 = 25*h - 20*h. Suppose -115*s = -h*s - 4. Solve 2*z + 10 = -3*l + s, 3*l + 6 = -z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*k**2 - 18*k + 42*k - 24*k.\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2.6577838561 and -6.64?\nAnswer: 3.9822161439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and -19.8.\nAnswer: -7.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 - 110?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, 2\/11, 105, -9, -0.03 in descending order.\nAnswer: 105, 16, 2\/11, -0.03, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 + (6 - 3))\/1. Let w(t) = t**3 - 3*t**2 - 4*t + 1. Let d be w(4). Let m be (6\/(1\/d))\/((-99)\/(-66)). Solve z*a - m = -l, 1 = 3*a + 2*l - 2 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + 1. Suppose 3*s = 3*j + j, -3*j = 4*s - 25. Suppose 5*n - j = 2. What is the closest to 0.2 in -0.4, n, g?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 divided by 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a = 17*o - 494, -o + 948*a + 38 = 456*a + 490*a for o.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*g + 716588 = 11*g. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 43\/2 of a litre?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sms when three letters picked without replacement from {y: 1, r: 1, m: 1, s: 2, w: 2}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 790 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6393 is divided by 81?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes before 2:08 PM?\nAnswer: 6:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(480)\/sqrt(32) - sqrt(60))\/((1*sqrt(96))\/sqrt(8)).\nAnswer: -sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -824\/10509 - -4\/93. Do n and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 5 - 14 = 0. Let i = 7 - z. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 118 = 2*f, 138 = 16*f - 18*f + 4*z. Is f less than -14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -466.5527433 to the nearest ten.\nAnswer: -470","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q**2\/7 + 32468*q\/7 - 32470\/7 = 0 for q.\nAnswer: -16235, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-175)\/1250)\/(133\/152)?\nAnswer: -4\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -41 (base 12) in base 6?\nAnswer: -121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -78151655 plus -311?\nAnswer: -78151966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -11*o - 1. Let v = -149 - -153. Let d(m) = 3*m + 3*m + m - v*m. Determine d(t(j)).\nAnswer: -33*j - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 5750 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -151*r**3 - 2 + 24840441*r - 24840441*r.\nAnswer: -151*r**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 1 v when three letters picked without replacement from iiiivjviijjvj.\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -18*x**4 - 2*x + 2*x - 13*x**4 + 31*x wrt x.\nAnswer: -372*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -7*c**2 - 3*c - 266. Let d(r) be the first derivative of -r**3 - r**2\/2 - 133*r - 5. Let k(s) = -5*d(s) + 2*q(s). Is k(0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(-10)*318\/(-477)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 320089520 to the nearest integer?\nAnswer: 684","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**4 - 8*c**3 - 9*c. Let k(w) = -6*w + 6. Let b be k(-5). Let m(h) = -h**3 - h. Let a(s) = b*m(s) - 4*f(s). Factor a(d).\nAnswer: 4*d**3*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-70)\/(-30)*(-18)\/(-7)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 937502.7 litres to millilitres.\nAnswer: 937502700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h**2 + 576*h = 0.\nAnswer: 0, 144","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -5391995 rounded to the nearest 10000?\nAnswer: -5390000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**2 - 5*c - 11. Let l be h(7). Solve l*b + 1 = -8 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -195 (base 10) to base 3.\nAnswer: -21020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -563*c - 497*c = 856*c - 107296 for c.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -48*x**3 + 2938*x**2 + 2200994*x wrt x.\nAnswer: -288*x + 5876","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 405 = 4*a + a. Suppose 44 = 5*r - a. Suppose -5*b - r = -70. What is the smallest common multiple of 8 and b?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*a + 5 = -8*a. Suppose a*u = 5*g + 2151 + 1064, 2*u = g + 1285. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11682 divided by 32083.\nAnswer: 11682\/32083","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(4\/15)\/(s*s*s*s\/(s\/s**(7\/5))))\/(s**3\/(s\/(s*s**(-15)))))**(5\/4) assuming s is positive.\nAnswer: s**(59\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 25\/4*4*-1. Let n = 70 - 64. Let m(p) = -2*p - 12. Let g be m(n). Is g at least as big as i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 226*o - 409. What is m(3)?\nAnswer: 269","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -2*f**3 + 5*f**2 + 5*f + 6. Let j be x(3). Solve -4*d + 4*h = -40, -5*d + 3 = 2*h - j for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:43 AM and 10:12 PM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t + 6*t - 14. Solve -4*m - t*p - 3*p = 32, -2*m + 5*p = -14 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 10*i**2. Let q(l) = -325*l - 2. Determine w(q(m)).\nAnswer: 1056250*m**2 + 13000*m + 40","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of ((-64)\/16)\/((-12)\/15 + 0) and 21.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(220))\/(1*sqrt(891))*-6.\nAnswer: -4*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-10740)\/(-105) + (-1)\/(-14)*-4. Let g(w) = -15*w - 7. Let j be g(-5). What is the greatest common factor of j and n?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1108*n + 1049833 - 1049833 to p*n + d and give p.\nAnswer: -1108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.5 - 1.6. Let s = 297\/868 + -7\/124. Suppose -2*q + q = 3. Which is the closest to v? (a) q (b) -0.3 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(72)\/sqrt(3) - sqrt(18)\/sqrt(75))\/(sqrt(15)\/(4*sqrt(405) - sqrt(405) - sqrt(405))).\nAnswer: 162*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -771*j - 46. What is the thousands digit of s(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) -3 (c) -0.1 (d) -0.05 (e) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -3551, -4077, -4953, -6179?\n\"Answer: -175*l**2 - l - 3375","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1408539169 to the power of 1\/2, to the nearest integer?\nAnswer: 37531","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 656?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 56 - 46. Solve -3*u = -3*h - 18, 32 = -5*h + u + z for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 3*q = 14, -j - q - 8 = -2*j. Let m(w) = 6*w + 7. Let b be m(-7). Let i = 49 + b. Calculate the least common multiple of i and j.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1675.999643 + -1676. What is q rounded to 3 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 237484 to the nearest integer?\nAnswer: 487","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.00919 times 0.6\nAnswer: 0.005514","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 31751 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (3 - -2) + (-4 - -4) - 11\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1\/2, 1\/3, -0.2, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 22510022?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -c + 5150*c**3 + 12*c - 5189*c**3.\nAnswer: -39*c**3 + 11*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wz when two letters picked without replacement from {z: 1, a: 1, w: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -40*x + 12252 + 6828. List the prime factors of x.\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*(i\/(i\/(i*i**(-3\/2)))*i)\/i*i*i)\/i)\/((i*i**(-3\/7)*i)\/i))**(-9\/5) assuming i is positive.\nAnswer: i**(-117\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 11*g**2 + 4*g. Let v(q) = -11*q**2 - 4*q - 1. What is 3*d(r) + 2*v(r)?\nAnswer: 11*r**2 + 4*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -204471508 and -5.\nAnswer: 1022357540","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -40*y**3 - 14*y - 14. Let q(t) = -8*t**3 - 3*t - 3. Let m be 10\/(-30)*((36 - -3) + 3). Determine m*q(b) + 3*l(b).\nAnswer: -8*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**3 + 8*i**2. Let t be v(8). Let l(r) = r**2 + r + 21. Is l(t) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 24 - 20. Let p(l) = 0 + 0*l + 3*l - 5. Determine p(c).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.09 times -5594?\nAnswer: 503.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 105 = -5*d + 2*d, -5*m = -3*d + 167. Let j = -18 - m. Let l(f) = 9*f**2 + f. What is the lowest common multiple of j and l(1)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -915*i + 154 - 462 = 607 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 391*a**2*c - 534109*a**2 + 2932*a*c - 5*a wrt c?\nAnswer: 391*a**2 + 2932*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31704678 is divided by 3983?\nAnswer: 3981","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -926 - -938. Solve -u = -4*p + 2*i, 0*p = -2*p - i + 14 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -5*t + 2*y, 0*y - 2*y = 8. Suppose t*k + 0*k = -22. Let w = k - -19. Does 8 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 0.0540551 weeks?\nAnswer: 32692.52448","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4.5 - -7.5. Let u = -288 + 3742\/13. Let t = 1.062 + -0.062. What is the closest to t in -1\/4, u, v?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 55878 + 2*b**2 - b + 0*b**2 - 27944 - 3*b**2 - 27933. Let r be ((-2)\/5)\/((-2)\/(-10)). What is w(r)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -20 - -18. What is the closest to 1 in -1\/9, -5, u?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (2 - 1)*1910\/40*8?\nAnswer: 2, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1184682293 and 89?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, -0.257, -8, 4 in decreasing order.\nAnswer: 4, -0.257, -2\/7, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the second derivative of -m**6\/75 - 17*m**5\/50 - 2*m**4 + 116*m**3\/15 + 32*m**2 + 8*m - 161. Suppose b(l) = 0. Calculate l.\nAnswer: -10, -8, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*(-3)\/1)\/((-11)\/2)?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 28*x**2 - 16*x**2 - 7*x**2 + 5*x**4 wrt x?\nAnswer: 120*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/2 + 2\/4. Suppose r*a - 6 = 2*a. Let q = -2\/227 + -432\/2497. What is the common denominator of q and a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 42 - 43.15. Let a = -12.35 - m. Let b = -0.3 + a. What is b rounded to the nearest integer?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13522 (base 6) to base 13.\nAnswer: c86","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 194*k**2 + 165*k + 2863. Does 21 divide m(-15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - k = q - 6, 3*k - 9 = 5*q. Suppose 22 = -q*i + 2*i + 4*s, 0 = 3*i - 3*s + 3. Solve -i*m + m = 8 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the first derivative of 4 - 3\/2*r**4 + 2*r**3 + 0*r + 0*r**2. Find the third derivative of c(i) wrt i.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**0*v)**(-29\/2)*v**(-3)\/(v\/(v**8*v*v)) assuming v is positive.\nAnswer: v**(-17\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3.9 + 3.906. Let i = -0.094 - b. What is the closest to 0 in 0.2, i, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*i - 7*i + 5*s - 13, 4 = 4*i - 4*s. Let o = -5 + 15. What is the smallest common multiple of i and o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 32\/5 of a micrometer in nanometers?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18*w + 21*w + 80*w**2 + 69 - 7 + 16*w - 20*w to the form y*w + q + g*w**2 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * -75488.\nAnswer: -75488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 92 - 90. Let y(m) = -m**2 + 10*m - 2. Let v be y(9). Solve 0 = -5*u - v + r for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (84\/(-48) - (-19)\/(-76))\/(29 + -2)\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes before 12:19 PM?\nAnswer: 8:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 45402 and 24150.\nAnswer: 966","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w + w + 0*w)*(0 - 3 + 1) + 0*w + 2*w + 0*w.\nAnswer: -6*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**3 - 3*g**2 + g + 3. What is o(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*h - 286 = 117 + 218 for h.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c**3\/7 + 812831*c**2\/7 + 4605940*c\/7 - 1625628\/7 = 0. What is c?\nAnswer: -270938, -6, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -6*l + 2. Let u(q) = -26 - 23 - 24 - 7*q + 76. Give -3*b(v) + 2*u(v).\nAnswer: 4*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 70 - -14. Suppose 24105*b - 957 = 24072*b. What is the remainder when n is divided by b?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -i + 7. Suppose 2*k + 2*n - 2 = 0, -5*n + i = -k + 34. Let j = 31 + -21. Solve y - j = -3*s, y = k*y - 2*s + 16 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -2*b - 10 - 8, -2*b + 5*p = -27. Suppose 0 = -w + 1 + b. Suppose 5*g = w*g + 180. Is g a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the second derivative of r**4\/6 + 2*r**3\/3 - 3*r**2 - 3*r. Factor k(f).\nAnswer: 2*(f - 1)*(f + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 10 = -3*i. Suppose 0 = -4*c - 5*u + 7, 2*c + i*u = -1 + 2. Solve -5*m - 2*q = -2, -1 = -4*q + c for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.07 + 2.93. Let y = f - 3.2. Let z = y + 0.4. Which is the nearest to -1? (a) 0.3 (b) z (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10228.3 + 10228. Which is the nearest to -9? (a) m (b) -0.7 (c) -0.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1108?\nAnswer: 2, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 17\/10 of a meter?\nAnswer: 1700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1\/2*408\/714\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 82\/21987 and 17\/18396?\nAnswer: 6420204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3b3 (base 16) to base 3.\nAnswer: 1022002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 429?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1195 (base 14) to base 2.\nAnswer: 101111111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9769, 19737, 29705, 39673?\nAnswer: 49641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 21661681 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -12*(-16 + (8 - -7))*(-1)\/(-8). Let x(d) be the second derivative of -z*d**2 + 0 + 27*d + 8\/3*d**3. Find the first derivative of x(y) wrt y.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**3\/7 + 386*j**2\/7 + 8572*j\/7 - 2672.\nAnswer: 2*(j - 2)*(j + 28)*(j + 167)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*l*t**3 - 3*l*t + 9746*l + 17*t wrt t.\nAnswer: 6*l*t**2 - 3*l + 17","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -398716379964213 - 2\nAnswer: -398716379964215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36036466 is divided by 28?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*((-16)\/160)\/(2\/(-40))*20?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 545, 3263, 10351, 23993, 46373, 79675, 126083?\nAnswer: 187781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ki when two letters picked without replacement from vvsivvvvkivkv.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.7 - 2.1. Let f = u + -2.6. Which is the smallest value? (a) -0.4 (b) -0.7 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100010000000010 (base 2) to base 7.\nAnswer: -101521","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 1998094990 to the nearest 100000.\nAnswer: 1998100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2373, 2364, 2351, 2334?\nAnswer: 2313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (60\/(-270))\/(34\/(-3))*(-6)\/1.\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -266810 divided by 5.\nAnswer: -53362","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 321992 - 276913027\/860. Find the common denominator of d and -145\/516.\nAnswer: 2580","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:50 AM and 3:01 AM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 8573813 and -6.\nAnswer: -51442878","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-290)\/(-116))\/(5\/24). Let i(x) = 7*x**2 - 2*x. Let a be i(2). What is the greatest common divisor of o and a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-1 + sqrt(300) + (-3*sqrt(300)*-2)**2 + -2 + 4).\nAnswer: -43204 - 40*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 72178607?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7944718265?\nAnswer: 5, 11, 401, 360223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 199808398 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-8)\/14*(-7)\/2. Suppose 0 = -n*w + 101 + 151. Suppose 2*m - 21 - 7 = 0. What is the highest common divisor of w and m?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -7*h + 6. Let a(x) = -x + 1. Let p(j) = -6*a(j) + z(j). Let f = 800 - 341. Let b(n) = -3*n - n + 459 - f. Determine p(b(w)).\nAnswer: 4*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.83 - 0.83. Let q = 2\/31 + -39\/124. Which is the smallest value? (a) 2\/5 (b) q (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100111000001001000100 - -1111?\nAnswer: 100111000001001010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 291925867307 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 13*a**2 + 17*a - 19. Let b(p) = 66*p**2 + 86*p - 96. Let w(v) = -2*b(v) + 11*j(v). Let i(l) = 2*l + 8 - 5*l**2 - 4*l - 5*l. Give 13*i(z) + 6*w(z).\nAnswer: z**2 - z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 70\/(-4)*(5 + -7). Suppose 32*l = 178 - 18. Calculate the greatest common factor of i and l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 83871637?\nAnswer: 37, 2266801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 348 and 14610?\nAnswer: 847380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 73 + 17b410?\nAnswer: 17b483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 209.6 - 184. Let x = p - 11.8. Let q = -13 + x. Is -0.1 less than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*v**2 + 10*v**4 + 8*v**2 - 6*v**2 + 15*v**4 - 23*v**4 - 3 as c*v**3 + f*v**2 + j*v + p*v**4 + x and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 3 - 5)*(-2*l + 4*l + 2*l)*(3 + 0 - 1).\nAnswer: 16*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*t + 1449 + 567. What is the smallest common multiple of 216 and t?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16 - -18. Let c be 2 - o\/(-4)*8. Suppose -c*v + 181 = -311. What are the prime factors of v?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (-4 + (2 - 4) + 7).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence izh when three letters picked without replacement from izqlzhhhzhhhz.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 9\/(18\/4) + 10. Let b = 653 - k. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32 - 30 - 24 - -25 - -20?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1917, 1812, 1707, 1602?\n\"Answer: -105*i + 2022","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 198, 3, -1, -3 in decreasing order.\nAnswer: 198, 3, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11182918 is divided by 21672?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**3 - 3*v + 2. Does 18 divide u(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in three tenths of a minute?\nAnswer: 18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2 - 0 - -2)*-1. Let r(x) = -3 + q + 7 + x. Let z(c) = c + 5. Give 3*r(t) - 2*z(t).\nAnswer: t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**19*y**(-7) assuming y is positive.\nAnswer: y**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 371226?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24)\/(-84)*(-5)\/(-45)*-7.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -489, -627, -769, -909, -1041, -1159?\nAnswer: -1257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 107926 and 309546.\nAnswer: 1186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -3*d + 110 - 106 + 5*d. Suppose 6*s - s + 2*x = 6, 2*x + 12 = 4*s. Let j = s + -5. Determine v(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, 0, -12, -1, 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1431, -1429, -1427, -1425, -1423?\n\"Answer: 2*q - 1433","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*u - 29*u - 440 = 0 for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3384541 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2586, -1905, -798, 735, 2694, 5079, 7890?\n\"Answer: 213*g**2 + 42*g - 2841","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 121 - 213?\nAnswer: -c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l - 2*k - 15 = 10, 0 = 4*l - 6*k + 20 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 1\/2 (b) -2\/17 (c) -0.168 (d) 2 (e) 328 (f) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1058 = 21*p - 1037 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 a when two letters picked without replacement from {t: 2, e: 1, q: 4, a: 3, o: 1, i: 1}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2, 5, 0, -8\/3, -24, 167?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - 3 - -9) + -11 + 9 - 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(110)\/(5*sqrt(15)\/sqrt(3)))\/(-2*sqrt(18) + sqrt(64)\/sqrt(2)).\nAnswer: -4 - sqrt(11)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3137537, -6275053, -9412551, -12550031, -15687493, -18824937?\nAnswer: -21962363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/11, -4.3, -0.2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 501396 and 127.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:08 AM and 2:06 PM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 1 f when three letters picked without replacement from {f: 1, n: 3}?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 495047 and 7?\nAnswer: 495047","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 84005279341 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*a**2 + 7*a**2 - 14*a**2 + (5*a - 2*a + 0*a)*(2*a - 3*a + 2*a) - 4*a**2 + 12 + a - 11 - 2*a to r*a + b + p*a**2 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.052, 1, -5\/2, 0.3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2268)\/(-49) + 4\/(-14). Solve -10*w - 6 = -o for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.22 (b) 4\/15 (c) 263\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 411, 797, 1191, 1593?\n\"Answer: 4*p**2 + 374*p + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 78661306?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f - 4*w + 48, 2*f - 14 = -w + 9. Find the second derivative of -f*z**5 - 19*z - 35 + 35 - 9*z**5 wrt z.\nAnswer: -400*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 109*-1*(22 - -8 - 6). Is 24 a factor of 11\/154*4 + g\/(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1696 - 1116. Round g to the nearest one hundred.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (193*j + 3490 + 26*j - 3490)*(4 + 1 - 4).\nAnswer: 219*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 2785183.\nAnswer: 5\/2785183","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -45523 * -16.\nAnswer: 728368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**3 + 182*x**2 + 1146*x + 1746.\nAnswer: -2*(x - 97)*(x + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 12345, 12392, 12437, 12480, 12521, 12560?\n\"Answer: -y**2 + 50*y + 12296","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -76953258.1 rounded to the nearest one thousand?\nAnswer: -76953000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the third derivative of z**6\/120 - z**5\/10 + z**4\/3 - 5*z**3\/6 + z**2. What is the lowest common multiple of s(5) and 6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 0*d + 2 + 7 + d - 1. Let b be c(-7). Suppose -2*r - 2 = -6. Which is smaller: b or r?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 198 is divided by 52.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 + -52?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 214 and 44?\nAnswer: 4708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -22 - -23. Let n = 37 + r. Suppose 15 = 2*q - 61. What is the greatest common factor of n and q?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.036 - 17100.\nAnswer: -17100.036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(4 + sqrt(343) + 0 + -4 + 6*4*(sqrt(343) - -2*sqrt(343))))**2.\nAnswer: 16450623","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -390*a**2 - 15986*a + 82. Calculate g(-41).\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -11, -10, -9, -8, -7?\n\"Answer: i - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 157*k - 7218. Let q be w(46). Let t(v) = 5*v + 10. Let o(p) = -1. Let z(h) = 2*o(h) + t(h). Let y(b) = -4*b - 7. What is q*y(x) + 3*z(x)?\nAnswer: -x - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 2068*j - 2391. Does 2 divide h(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 236 and 4484?\nAnswer: 4484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s\/s**(-2\/7))*s)\/s**1)\/(s**(-1\/3))**(-36) assuming s is positive.\nAnswer: s**(-86\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 + 9. Suppose 1 = a - y. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-1)*(-1)\/2*0\/(-179)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10*-8*(-1294066)\/160 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*9594\nAnswer: -959.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -15*s**2 + 2497*s + 787410. Calculate g(327).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -3*i**5\/7 + 1479*i**4\/7 + 66363*i**3\/7 + 565941*i**2\/7 - 3107208*i\/7 + 3396180\/7 = 0?\nAnswer: -23, 2, 535","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (10\/40)\/((-1)\/(-16))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 480*i - 2. Let c be d(3). Suppose c = 5*u + f - 1172, -2*u + 1067 = 5*f. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-1)\/15 - 407\/(-1155))\/(-1). What is the smallest value in r, 14\/33, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 728.9 and -129?\nAnswer: -94028.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.41056667 to one dp.\nAnswer: 5.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.03 + 0.17. What is the third smallest value in g, 4\/7, 3\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 216 and 72.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:08 PM and 8:38 PM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52037*l + 0 + 42 + 15.\nAnswer: -52037*l + 57","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**3 + 6*f**2 + 9*f - 5. Let g be z(7). Let d be (-1)\/g + 2\/(-9). Let v = 4 - 2. Which is smaller: v or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*z = 563 - 563. Which is bigger: z or 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-1)\/2)\/(2\/388). Let u be (-6)\/(-27) - b\/9. What is the highest common factor of 121 and u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 10\/4 - 9\/4 - 0. Which is the closest to 1? (a) j (b) -3\/7 (c) 1 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2\/21*l**3 - 286\/3*l**2 - 166666\/7*l + 167334\/7 = 0. What is l?\nAnswer: -501, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 124 (base 5) in base 8?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*x**2 + 1380*x - 1380*x.\nAnswer: -18*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-6\/11)*h*h**43\/h)\/(h\/h**(-34))**(-4\/33) assuming h is positive.\nAnswer: h**(1541\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/8 of a litre?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-9\/8)*u\/(u*u**(-9)))\/(u**11*u\/(u\/((u**(-25)*u)\/u))) assuming u is positive.\nAnswer: u**(175\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 117\/(-26) + 5\/(-2) + 1. Let v(x) = 2*x**2 + 11*x + 4. What is the remainder when v(z) is divided by 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.43, -4, 0.4, 0.3?\nAnswer: 0.43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y - 3*z - 9, 0 = 7*y - 3*y + 3*z + 27. Let k be (16\/y)\/((-18)\/27). What is the tens digit of 116\/8 - 4\/k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2145 + -1200. What is the remainder when m is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*t - 2*t, -3*h = -2*t + 1962. What are the prime factors of ((-3)\/(-12))\/((-4)\/h)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 494699?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 6827.594 weeks in minutes?\nAnswer: 68822147.52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.4 + -0.9. Let n = 2\/1239 + -276\/413. What is the closest to -2 in 0.4, v, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1887 is divided by 210?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -541 = 5*d - 3*l - 0*l, -5*d - 3*l - 529 = 0. Let r = d + 111. Does 8 divide (37 - r) + (-16)\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 3*x - 1450 = 0, 489*x = 5*o + 484*x - 1440. Sort o, 1\/8, 2\/15 in decreasing order.\nAnswer: o, 2\/15, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32 + -37 + 61 - 22.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2495 + 965*h + 340*h + 903*h - 216*h wrt h?\nAnswer: 1992","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 107907669 is divided by 4043.\nAnswer: 4042","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -35 - ((8 - (9 - -1)) + (-5 - 0))?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -1728*m**4 - 328464*m**3 - 15622563*m**2 - 1300170*m - 27075 = 0.\nAnswer: -95, -1\/24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 2 + 1)*(-2 + 4*c**2 + 2) + 41*c**2 - 249*c + 249*c)*(4*c**2 - 1 + 1).\nAnswer: 196*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve a = 3*a - 5*a, -6 = -0*m - m + a - 0*a - 3*a for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 4846786*h + 8246. Let r(l) = 7055*l + 12. Calculate -6*g(j) + 4123*r(j).\nAnswer: 7049*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*u**2 + 4*u**2 - u**2)*(2 - 6 + 2) - 5*u**2 + 6*u**2 - 2*u**2.\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -85.9, -0.5, 9\/8?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**2 + 7*k - 8. Let d be 3 + ((-42)\/(-54) - 2\/(-9)). Let j be n(d). Solve -12 = -4*x + 3*s, -2*s - 6 - 6 = -j*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-198)\/264)\/(30\/16).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 4543 = -3*v + 115, 0 = 3*n + 5*v + 6645. Do n and -2206 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -2629*m - 55196. Calculate w(-21).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*t**3 + 91440*t**2 - 274365*t = 0. What is t?\nAnswer: -18291, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 277*o - 1199*o + 6154*o - 132.\nAnswer: 5232*o - 132","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 208*v - 481*v + 0*v**2 - 28 - v**2.\nAnswer: -v**2 - 273*v - 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**4 + 5*m**3 - m**2 - 3*m + 2. Let w(c) = c**4 - 19*c**3 - 37*c**2 + 127*c + 78. Let k(n) = 6*j(n) - 2*w(n). Suppose k(v) = 0. What is v?\nAnswer: -2, -1\/2, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qrqoqrr. Give prob of sequence orq.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 22 + 3. Let t = r - 10. Solve -2*u = 5*i + 15, -6*u = 5*i - u + t for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, s: 2, f: 7}. Give prob of sequence su.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, -1123280, 5\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*b + 20 = -7*b. Suppose 0 = -b*v - 8 + 8. Suppose 4*u - 161 - 107 = v. List the prime factors of u.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(13) + -1)*-3 + (sqrt(117) + -1 + sqrt(117) - sqrt(13))**2.\nAnswer: -13*sqrt(13) + 324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 76 divide 19532?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-24)\/10)\/(6324\/(-930)).\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the first derivative of -c**8\/560 + c**7\/140 - c**5\/20 + c**4\/8 + c**3 - 7. Let n(j) be the third derivative of r(j). What is p in n(p) = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5066*s - 4563 - 506 - 10129 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -1. Let w(t) = -22*t + 31*t + 3 - 12*t. Let x be w(5). Let k(u) = u**3 + 4. Calculate x*m(p) - 3*k(p).\nAnswer: -3*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**2 - n. Let i(x) = 8*x - 18*x + 9*x. Calculate a(o) - i(o).\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v - z + 25, z - 3 - 2 = 0. Suppose 5*i + 973 = v*g, 0 = g + 4*i - 129 - 88. Calculate the common denominator of g*(2 + 92\/(-48)) and -37\/3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 911 divide 49299688?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.13? (a) 61355 (b) -1 (c) -1\/4 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.2 - 1.3. Let g = -877\/5 + 177. What is the second smallest value in g, i, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:14 AM and 7:09 PM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 3 = -2*g. Let v be 0\/g + -4 + 4. Suppose 0*l = 2*l - 8. Solve 8 = l*m - v for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 69*b**2*i - b - 27*i wrt b.\nAnswer: 138*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2510?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -20*v**3 + 3*v**2 + 7*v + 8 wrt v.\nAnswer: -120*v + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*q**2 - 4*q**3 + 5*q**2 + 3*q**3 + 0*q**3 - 5*q**3 - 2*q**3 + 2 - 2 + (-2*q**2 + 7*q**2 - 3*q**2)*(0*q - 9*q + 3*q) - 3*q**3 - 2*q**3 + 0*q**3.\nAnswer: -25*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.9759 rounded to 2 dps?\nAnswer: 3.98","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 475?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 3*z**2 - 48*z + 134. Let s be i(3). Suppose -x = -s + 20. Are x and -20\/7 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-38)\/(-9) + (-2)\/9. Let u(i) = 9*i**2 - 4*i - 2. Let l(h) = 9*h**2 - 5*h - 2. Let g(r) = s*l(r) - 5*u(r). Find the first derivative of g(y) wrt y.\nAnswer: -18*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21079436.\nAnswer: 2, 7, 19, 39623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -909, -148, 5 in decreasing order.\nAnswer: 5, -148, -909","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j*j*j**(-1\/2)\/j)**(-42)*((j\/(j\/((j\/(j\/((j*j\/(j\/(j\/(j\/(j**(-1\/3)\/j*j*j*j*j))))*j*j)\/j)))\/j)))\/j)**(15\/7) assuming j is positive.\nAnswer: j**(-401\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 7 = -5*g, -2*g = -5*f + 3*g. Solve -a = 5*d - 4*a + f, 5*d = -4*a + 13 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k\/(k**(-8)*k))\/k)**(-1\/7)*((k*k*k**(-15))\/k)**(-5))**(-10) assuming k is positive.\nAnswer: k**(-4820\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s**2 + 1 - 1)*(s**3 - 1 + 8 + 5).\nAnswer: 3*s**5 + 36*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5232321*s**3 + 485*s - 247 wrt s?\nAnswer: -31393926*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k - 8*k. Suppose 5*s - 38 = -y, k = s + 3*y - 5 + 3. Is 6\/(-3)*(-356)\/s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 55.336 + -60.3. Let b = -0.036 + v. Sort 4\/5, 0.3, -3\/8, b in descending order.\nAnswer: 4\/5, 0.3, -3\/8, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2681 is divided by 319.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1719)\/(-15) - (-2 - (-26)\/10). Suppose -f - 2*f = -z. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 78095 to the power of 1\/2, to the nearest integer?\nAnswer: 279","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 102165?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 8*j + 1. Let t(u) = u. Let f(l) = -d(l) + 6*t(l). Let i(h) be the second derivative of -2\/3*h**3 - h**2 - 3*h + 0. Determine -7*f(a) + 4*i(a).\nAnswer: -2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**3 - 30*g**2 - 57*g - 26. Give m(-28).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 62 (b) 3 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 3*x - 9. Determine a(7).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = 5*q + 2*z, -15*q - 60 = -15*z + 20*z for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.504, 0.04, 102.3?\nAnswer: 102.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (13 + 1)\/(-4 - -3). What is the remainder when (5\/3)\/(m\/(-210)) is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 1999 = 3*r, -5*k + 2079 + 1251 = 5*r. What is the tens digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5462, 19948, 43458, 75992, 117550, 168132?\nAnswer: 227738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the second derivative of 0*d**4 + 0*d**2 + 0 - 4\/15*d**6 + 0*d**5 + 6*d - 4\/3*d**3. What is the second derivative of n(q) wrt q?\nAnswer: -96*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 4*w = -216. Let k be (3\/w)\/(1\/(-4)). Let h = 14.046 - 13.846. Which is the smallest value? (a) k (b) h (c) -1 (d) -0.13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 6*r + 52 = 0. Suppose -4*m = 1 - r. Let -u - 1 + 4*u**2 + u**m + 0*u**2 - 3*u**2 = 0. Calculate u.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes after 7:23 AM?\nAnswer: 1:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2a2ac + 5?\nAnswer: -2a2a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 36648, 76686, 120122, 166962, 217212, 270878, 327966, 388482?\n\"Answer: k**3 + 1693*k**2 + 34952*k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*k**2 + 103*k**2 + 307*k**2 + 1760 - 1730 to c + m*k**2 + w*k and give m.\nAnswer: 394","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -97 - 52?\nAnswer: -129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 + 4\/(-3 - 1). Let h(w) = -2*w - 3. Let s(z) = -1. Let y(c) = v*s(c) + h(c). Let d(m) = -2*m. Let p(j) = -j. Let b(i) = -d(i) + 4*p(i). Give b(y(k)).\nAnswer: 4*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 3 + i + 4 + 3 - 15.\nAnswer: i - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:00 PM and 5:19 PM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/135 in -16.34, -5, 11?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, f: 1, o: 2, n: 2, l: 1}. Give prob of sequence eol.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.5, 10.9, 3, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.6 + 0.4. Suppose 3*i - 17 = -23. What is the nearest to 0.2 in f, -3, i?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 176 + 48 + -74 + (2 - 8) + 9.\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1997 - 2367. Which is smaller: -373 or q?\nAnswer: -373","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p\/p**0)*p)**48)**(-40) assuming p is positive.\nAnswer: p**(-1920)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**3 - 3*z**2 + 7*z - 4. Let k be c(4). Let x be 2 - (k\/11)\/2. Let r(o) = -o**2 - 15*o - 13. Let w be r(-14). Is x != w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 402607.2s to nanoseconds.\nAnswer: 402607200000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, q: 13}. What is prob of sequence qo?\nAnswer: 13\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.331 - 2.33101967. What is x rounded to 6 dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 44174*r**3*u**3*w + r**3*u*w - r**2*u**3*w - 5*r**2*u**2 - 19*u**3*w - 22*u**2 - 3*w wrt r.\nAnswer: 265044*u**3*w + 6*u*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*x**3 + 284142*x**2 + 258596*x - 4 wrt x.\nAnswer: 42*x + 568284","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:48 PM and 8:39 PM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 18*g**4 - 228547*g**3 + 2*g + 7538562 wrt g?\nAnswer: 72*g**3 - 685641*g**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pgb when three letters picked without replacement from {b: 1, f: 1, g: 1, u: 4, p: 1}?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -171 - -176. What is the third biggest value in l, 2\/17, 0.7?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - -4. Suppose 0 = v + z*l - 23, 3*v - 30 = -3*l + l. Suppose -3*s + 2*i = -26, 5*i - v = -28. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - (-3 + 6 + 8)) + 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -0*g - 6. Suppose -x + g = -0*x. Suppose -3*i + 9 = -x. Calculate the smallest common multiple of i and 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 248 and 2046?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -170 + 170.000603. What is c rounded to four decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*d - 1 - 6*d + 3.\nAnswer: -13*d + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-1 + 3)*(-3)\/6)\/(-1). Suppose -v = -3*l + z + 1, 4*z - 16 = 0. Let i = 56 - 54. Solve -i = -l*o + 8 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*v + 70 - 38 for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 m when two letters picked without replacement from {n: 4, t: 2, m: 2, l: 3}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-48)\/(-6)*44\/16*30\/(-15).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 457 is divided by 77.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3\/10, 2\/13 in decreasing order.\nAnswer: 3, 2\/13, -3\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -29*g**2 + 41*g + 84. Give v(-1).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 + -411?\nAnswer: -405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 31 - -188143?\nAnswer: 188174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r*r*r*r*(r\/r**(-6)*r)\/r*r)\/r)\/r)\/(r*r**1))**8 assuming r is positive.\nAnswer: r**64","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2887917 - -66?\nAnswer: -2887851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 70.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12322 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from {i: 9, a: 2, p: 5}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 101197 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*w**3 + 7*w**3 + 4*w**3 + 5*w**3 - 7*w**3 + 0*w**3 + w**3 - 3*w + 3*w + (-6*w + w + 3*w)*(-2*w - 2*w**2 + 2*w) - w**2 - w**3 + w**2 + 1 - 1 + w**3.\nAnswer: 10*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9389?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -67*n. Let g(a) = 837*a. Determine 5*g(t) + 62*w(t).\nAnswer: 31*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(1000) + sqrt(1000))\/sqrt(2)*5)\/((sqrt(44)*-1)\/sqrt(11) - sqrt(48)\/sqrt(972)).\nAnswer: -225*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 10328, 10922, 12534, 15674, 20852, 28578?\n\"Answer: 85*f**3 - f**2 + 2*f + 10242","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b + 12. Let u be z(-9). Suppose -5*c + u*c = 76794. Let g be c\/12 - 2\/8. Round g to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1218, 44, 121 in descending order.\nAnswer: 121, 44, -1218","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11555 is divided by 17.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4811, 9606, 14381, 19142, 23895?\nAnswer: 28646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in eleven tenths of a microgram?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 - -32. Let w(t) = t**2 + 13*t + 27. Let c(f) = -f**2 + f + 3. Let u be c(5). Calculate the remainder when w(u) is divided by d.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(95) - (2*((sqrt(95) - 1*sqrt(95)) + sqrt(95)) + sqrt(95)))\/((sqrt(35) + sqrt(140))\/sqrt(7) - sqrt(5)))**2 - (sqrt(76)*-2 + 2 + 1).\nAnswer: 16 + 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - 57 = -25*v + 21*v, v + 681 = -3*h + 699 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/3*m**2 + 239\/3*m + 80.\nAnswer: -(m - 240)*(m + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.08385 + 0.08385. What is the nearest to -0.2 in v, 3, 5, 180?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -70488 divided by 17622.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10 in -1\/5, 1\/2, 4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -300*q**2 - 283*q**2 + 2 - 308*q**2 + 911*q**2.\nAnswer: 20*q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 0)*(-600 + 433*a + 295 - 68*a + 299).\nAnswer: -730*a + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -144.6 - -164. Let h = t + -19. Which is the third biggest value? (a) h (b) -7 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u = 4, -2*u - 12 = 193*h - 191*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*v + i - 26, 27 = 4*v + 6*i - 3*i for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 4 (b) 1\/3 (c) -6\/31 (d) -2\/21 (e) 5\/19\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the third derivative of o**5\/60 - o**4\/12 + o**3\/3 + 3*o**2 + 1. Suppose -l = -0*l - 3. What is a(l)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45377 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*w**2 + 7*w**2 + 4*w**2.\nAnswer: 4*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 23855 - 23437. Suppose 2*v = -4, -7*y + 4*v + 46 = -6*y. Calculate the greatest common divisor of y and s.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -28295 + 3*d - 5*d - 10*d**2 - 3*d + 28297 + d**3 in the form a*d + s*d**3 + k + x*d**2 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -37558, -150234, -338028, -600940, -938970, -1352118?\nAnswer: -1840384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 613823269 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let w = 4.012 - 4.031. Suppose 15 = 5*y - 0. Which is the nearest to w? (a) y (b) -3 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14192021 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: Suppose -3*p = -18 - 39. Let t = p - -1. Let a be (t - (-1 + 1)) + 0. Solve 5*d - a + 0 = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*u**2 + 7*u**2 + 27322*u**3 - 3*u**2.\nAnswer: 27322*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-27)*3*95\/38.\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-89 - (-60 - -38)) + 188?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 131 and -1.\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -2*s**3 + 11*s + 9. Let u(o) = o**2 + 12*o + 17. Let a be u(-11). Let q(m) = 2*m**3 - 12*m - 10. Let n(w) = a*g(w) + 5*q(w). What is f in n(f) = 0?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 102*n - 13*n - 2*n + 2784 for n.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9879595 divided by 3415?\nAnswer: 2893","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(56) + sqrt(168)\/(sqrt(12)\/sqrt(4)) + sqrt(1400)*-1)\/((-2*sqrt(56))\/sqrt(7)*-3).\nAnswer: -sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.63185742 to 1 dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 15, l: 5}. Give prob of sequence iiil.\nAnswer: 455\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -13*v**2 + 5*v. Let h(k) = -23*k. Give j(h(o)).\nAnswer: -6877*o**2 - 115*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -2*q. Let n(y) = 5*y + 4. Let m(l) = l**3 + 2*l**2 + l - 2. Let c be m(-2). Let z(o) = 55*o + 45. Let v(r) = c*z(r) + 45*n(r). Give v(j(i)).\nAnswer: -10*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 5, 0.4, 4, -12.9, 31.\nAnswer: -12.9, -0.3, 0.4, 4, 5, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) 2\/5 (c) -49 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*y = -9 + 387. Let l(a) = -12*a - 17. Let b(h) = 5 - 2 + 2 - 1 + 3*h. Calculate y*l(v) + 26*b(v).\nAnswer: 6*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 + 2)*3 + 102\/(-36). Let h(j) be the third derivative of 3*j**2 - t*j**3 - 1\/30*j**5 + 0 + 0*j + 0*j**4. What is the first derivative of h(n) wrt n?\nAnswer: -4*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2274740 - 6?\nAnswer: -2274746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (72\/(-114))\/6*5\/(-10)\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-48)\/(-4) + (-10)\/15*-39. Solve r + 4 = 6*z for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/12*(-525)\/490*72\/60.\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000160744834 rounded to 7 decimal places?\nAnswer: -0.0000161","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are 53462098 and 53462096 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + a - 9 = 0, -3*a + 18 = b - 4*b. Let t(w) = -5*w**3 + 3*w + 1. Let y(z) = 14*z**3 - 8*z - 4. Determine b*y(j) - 8*t(j).\nAnswer: -2*j**3 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 258873 and -3?\nAnswer: -776619","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 4, g: 2, a: 8, q: 3}. Give prob of sequence gmmm.\nAnswer: 1\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**3 + 3428*c**2 - 1982233*c - 1985660.\nAnswer: (c - 505)*(c + 1)*(c + 3932)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 14\/27? (a) 3 (b) -0.4 (c) 5 (d) -28\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 154497645 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/((-6)\/72*-8)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16 + -16.7. Let a = v - -1.46. Let l = -1 + a. Round l to one decimal place.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 16 = 3*o, -4 + 6 = 5*n + 2*o. Find the first derivative of n*k + 7 - 3*k + 0*k wrt k.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -660894*t**2 - 39470*t - 8 wrt t?\nAnswer: -1321788","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = -3*z. Let h be (-2)\/(2*2\/26). What is the units digit of z - (2 + -1) - h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 33, 3, -75, -225, -471, -837, -1347?\nAnswer: -2025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 4*n**3 + n**2 + 6*n + 15. Calculate the remainder when 3119 is divided by h(0).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 - -45. Let o = 168 - 114. Calculate the highest common divisor of o and g.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 3*o, -5*f - o + 4624 = o. What are the prime factors of f?\nAnswer: 2, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 2*r. Let z = 2 + r. Suppose z*a + 2 = 18. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*d**4 - d**3 + 2*d**3 - 8*d**4.\nAnswer: -d**3*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -2 + 173. Let w = 343\/6 + g. Suppose -1\/3 + 1\/6*r**2 - 1\/2*r + 1\/2*r**3 + w*r**4 = 0. What is r?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u**3 + 0*u**3 - 2*u - u**3)*(98150*u**2 + 92941*u**2 - 205456*u**2).\nAnswer: 14365*u**5 + 28730*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:19 PM and 5:50 AM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -4001221 > -4001220?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -494928*k**3 - 213061 wrt k.\nAnswer: -1484784*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 214 = -105*g + 292 + 447 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4 - (8 - 3)\/5. Suppose 0 = -w*v + 4*v + 5*g - 28, -5*g = 5*v - 60. Solve 3*a - v*a + 25 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 2339*v + 2339*v + 10*v**2 to the form z*v + u + y*v**2 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 74233804*k - 194909317?\nAnswer: 74233804","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 7*p = 2*j - 33, 0 = 5*p + 3*j - 54. Suppose 2*t - 5*c + 4 = 0, -3*t + 5*c - p*c + 17 = 0. Solve t*b - 5 - 4 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 25 + -24. Let s(x) = -x - 5. Let q be s(-6). What is the highest common factor of q and w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -8, -99, -1, -45, 0 in descending order.\nAnswer: 0, -1, -3, -8, -45, -99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 501412109?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = 2*j - 18, -5*j + 355 = -i + 337. Solve 3*b + i = 2*u + 11, 0 = 4*u - 3*b + 3 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (19 - 8) + (-4 - -2) + -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(363) - (0 + sqrt(363))*6)**2.\nAnswer: 9075","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6.2225 + 0.0375. Let z = 6.3 - m. What is the nearest to 0.2 in z, -1, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -49 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3515109 to the power of 1\/3, to the nearest integer?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 456519788 and 12.\nAnswer: 1369559364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:16 AM and 9:47 AM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-8)\/(-6))\/(1\/3). Let i be 12\/21 + 12\/(-21). Solve 0*v - v + g = i for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 17 in -0.2, -9, -5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/3)\/(((-49280)\/120)\/(-88)).\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*h + 17*h + 1 = 0. Suppose -3*d = -h - 8. Suppose 4*a - 573 = d*w, -2*a = 4*w - 2*w - 276. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and 156.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27483?\nAnswer: 3, 9161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**2\/7 + 66*c\/7.\nAnswer: 2*c*(c + 33)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 671558447 to the nearest integer?\nAnswer: 876","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r + 15 - 27. Let t(s) = s**2 + s - 2. Let a be t(-2). Solve -h + r*y - 14 - 2 = 0, -5*h - 2*y - 12 = a for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7510 = -s + 3*s. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l + 3*h - 258, -l + 3*l - 5*h = 97. What is the remainder when 202 is divided by l?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1419531, -1419550, -1419567, -1419582, -1419595, -1419606, -1419615?\nAnswer: -1419622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a century in years?\nAnswer: 640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 395*p + 3*p**3 + 419 - 39*p - 95 - 60*p**2 - 95*p.\nAnswer: 3*(p - 12)*(p - 9)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 49 and 238.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*c**2 - 10*c**2 + 6*c**2 + 10*c)*(3*c**2 + 0*c**2 - c**2) as d + a*c**2 + o*c**4 + x*c + m*c**3 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + 3 - (33 - (2 - 11) - -7 - 7)?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3735 and 2490.\nAnswer: 7470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4*17*1\/4. Suppose z + u = 66. List the prime factors of z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -a - 3*z + 29, 5*a - 769*z - 40 - 69 = -775*z for a.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 861 + -636. Suppose 19*p - r = 4*p. Let n(c) = c**3 - 16*c**2 + 15*c - 1. Give n(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.507927ug to tonnes.\nAnswer: 0.000000000003507927","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 3982*k + 3988*k - 3 - 7965*k. Let p(x) = -4*x + 4. Give -6*p(y) - 5*v(y).\nAnswer: -y - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -43, -3, -4, 5.\nAnswer: -43, -4, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 167*a - 55*a - 59*a - 52*a.\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/8 + 164\/(-32). Let v be (i\/(-15))\/((-1)\/813). Is v\/(-7) - (-8)\/28 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of (15\/(-6)*-532)\/(-2 + (-7)\/(-3))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9816095.\nAnswer: 5, 1963219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -100 + 95. Let w be b - ((-65)\/7 - -4). What is the third smallest value in w, 4, -1\/7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3178?\nAnswer: 2, 7, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16749958?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*y**4 - 3*y**4 - 3*y**4)*(-19210 + 37*y + 19210).\nAnswer: -74*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 20991917 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -39 - -32. Put 1, -1\/6, y, 0.2 in descending order.\nAnswer: 1, 0.2, -1\/6, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (27 - 26)\/(2\/(-21)*5\/(-4330)) and 11?\nAnswer: 100023","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 - -64.4192826\nAnswer: 63.9192826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 5*z - 15 = -4*h, 2*h = -2*z - 6. Suppose 3*s + h*i = 2*i + 57, -i = 0. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(175) + 1 + sqrt(175) + 4)**2.\nAnswer: 80*sqrt(7) + 716","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -67, 2 in decreasing order.\nAnswer: 2, -4, -67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - 2*h + 3 = 0, -23 = -2*h - 19 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -403092654 smaller than -403092654?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 183 in -2\/7, 3, -5\/4, 2\/3, 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - 70 + 6. Let y(t) = -2*t**3 + 2*t**2 + 8*t - 3. Let r be y(5). Let z = 171 + r. What is the greatest common divisor of i and z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 4*l - 9. Suppose -l*m = -6*m - 39. What is the second derivative of 14*i - i + m*i + i**5 - 17*i**5 wrt i?\nAnswer: -320*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 + 3 - 8 - -2. Let m(z) = -9*z - 8. Give m(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.842 * 3242.\nAnswer: 2729.764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -1458060.612 to the nearest ten.\nAnswer: -1458060","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17 + -17.3. What is the smallest value in -3\/4, h, 2\/3?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 213 + -213. Let v(u) = -16*u + u**2 - 15*u + 25*u + s - 4. What is v(7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 45\/(-15) + -1 + 1. Let i be (s + 5 - 2)*-1. Solve i*a - 4*a = 12 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54392*j**2 + 27857*j**2 + 26546*j**2.\nAnswer: 11*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * 0.022\nAnswer: 0.0066","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (38\/(-12920))\/((-70)\/(-1400))\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 955*h**2 - 24839*h + 220. What is d(26)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5850277, 5850260, 5850243, 5850226, 5850209?\nAnswer: 5850192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/((-48)\/4)*14\/5?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 97 a factor of 1070719256?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 356 and 28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = 3*p + 6, 2*p + p - 3*u = 12. Suppose -7*l = p - 36. Suppose -3*k + 2*v + 2*v + 168 = 0, l*v + 280 = 5*k. Is 8 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 5291, 21151, 47585, 84593, 132175?\n\"Answer: 5287*g**2 - g + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.411 times -71607?\nAnswer: -29430.477","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39325*-24.\nAnswer: 943800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2206, 2278, 2476, 2860, 3490, 4426, 5728?\n\"Answer: 10*g**3 + 3*g**2 - 7*g + 2200","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 4760016?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -5*u + 44. Let m(t) = -t**2 - 4*t - 1. Let j = -2 - 1. Let v be m(j). Solve h = -v*h - u for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 - -2. Suppose 0*a = -3*a, 2*r - s*a = 12. Let b be (-31)\/186 - (-2)\/((-48)\/(-580)). Calculate the greatest common divisor of b and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12, -11, -10, -9, -8?\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 + 5901*r - 5923*r - 6)*((-2 + 5 + 2)*(2 - 2*r - 2) + 3*r + 0*r + 0*r).\nAnswer: 154*r**2 - 7*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 628527.\nAnswer: 3, 53, 59, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i**2\/4 - 2503*i\/4 + 185674 = 0. Calculate i.\nAnswer: 344, 2159","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (((3*sqrt(156))\/sqrt(4) - (sqrt(39) - (1*sqrt(312))\/sqrt(8)))\/((sqrt(30)*-2)\/sqrt(10) + 3*sqrt(27)))**2.\nAnswer: -30\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 57.15156 weeks in milliseconds?\nAnswer: 34565263488","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 k when two letters picked without replacement from {v: 1, k: 1, m: 1, f: 1, d: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-20)\/24)\/((-385)\/693).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(245)*-3*1 + -3.\nAnswer: -21*sqrt(5) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + -8 + 13 + 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0301489636 to 4 dps.\nAnswer: 0.0301","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 24 = -b. Suppose 0 = k + b*k - 2*u - 933, -2*u = -2*k + 378. What are the prime factors of k?\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q - q + 2*q)*(2*q + 0*q + 0*q) + q**2 - 4*q + 4*q + 4*q**2 - 4*q**2 + q**2 + 20*q.\nAnswer: 4*q**2 + 20*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1191941508 to the power of 1\/2, to the nearest integer?\nAnswer: 34525","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t**3 + 4*t**3 - t**3)*(-3 + 5 - 4)*(-5*t - 24 + 24).\nAnswer: 20*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1504 a factor of 187926304?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -58 - 2303?\nAnswer: -2361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.8 and -209.\nAnswer: -209.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27420 = -250*o + 262*o. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 7, -4, 0 in ascending order.\nAnswer: -4, -2, 0, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f - 7. Let h be g(-10). Suppose 5*c = h*c. Suppose -5*u + c*u + 16 = -4*i, -u = -3*i - 1. Solve 2*y = -2*r + 2, 5 - i = 2*r for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**2. Let f(c) be the second derivative of 7*c**3\/6 - 7*c + 4. Give u(f(j)).\nAnswer: 49*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*-5 - (18 - (-140)\/(-5)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.013 - 0.487. What is the second smallest value in -4, 14\/9, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5324555 (base 7) in base 4?\nAnswer: 2131200011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4414259103 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 67*o - 72 - 619 + 21 for o.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3222121023 - -21?\nAnswer: 3222121044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 3*f = -16, 2*f - 40 = -2*m - 0*f. What is the remainder when m is divided by 10\/(1 + 0) + -2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 540 divided by -18\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1499, -11888, -40085, -94994, -185519, -320564, -509033?\n\"Answer: -1484*b**3 - b - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -j + 60, -x + 133 = 2*j + 33. Suppose j = 3*h + 40. Calculate the least common multiple of h and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 3 + 4860*c - 2384*c to o + u*c and give u.\nAnswer: 2476","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13.128 - 13.028. Which is the smallest value? (a) -51.3 (b) -3 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 525*x**2 + x - 2. Let c be v(5). Let m be (c\/4)\/(-3) - -1. Let t = m + 1586. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -5*n - 4*q + 17, -6 = -2*q. Suppose n*t - 4*t - 4 = 0. Let y = -0.4 - -0.5. Which is the second smallest value? (a) -5 (b) y (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 2*r = 9. Let z = 1439 - 1440. Which is the nearest to z? (a) 9 (b) -1\/10 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-156)\/780*(-4)\/(-8)\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2250783 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes before 11:08 PM?\nAnswer: 10:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20102110022101 (base 3) to base 12.\nAnswer: 1187931","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes before 4:17 PM?\nAnswer: 6:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/4? (a) 2\/11 (b) -0.11 (c) 2\/3 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes before 8:07 PM?\nAnswer: 11:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-12 - -15) + 5 + (-2 - -1) - 33\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (7 - 8) - (21 + -18)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d + 80. Calculate w(16).\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1495 and 28729740?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-8) + (-441)\/(-36). Suppose 0 = -2*u + 4*u - f. What is the tens digit of u\/(-5)*(-255)\/6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b**2\/6 + 37*b\/6 + 17 = 0 for b.\nAnswer: -34, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4 or 38?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 5*k**5 - 1655*k**4 + 134445*k**3 + 414995*k**2 + 278890*k = 0.\nAnswer: -2, -1, 0, 167","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -385 - -409. Is v > 19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10813 and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 > 17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 6 + 0 = -n, -4*y = 2*n - 12. Suppose -n*g + 1125 = 255. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1.3 and -2907499430.\nAnswer: -2907499431.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(12)\/sqrt(4)*2 - sqrt(24)\/sqrt(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -31*s + 27*s - 12 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a litre in millilitres?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -6*f + 71. What is the hundreds digit of v(-15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r + 5*r + 135. Let t = r + 51. What are the prime factors of 128*(-2)\/t*(-90)\/60?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -329101, -658200, -987299, -1316398?\nAnswer: -1645497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -767710 and -767715 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-16)\/(55\/(-25) - 2\/(-10)). Let g(c) = -8 + 26 - 8 - c - v. Let t(a) = -a + 2. Give -7*g(q) + 6*t(q).\nAnswer: q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 4 = 4*z + 3, -y - 5*z = -7. Suppose -l = -3*c + 14, c + l = -l + y. Solve 3*q - 4*q - p - 3 = 0, c*p = 3*q - 23 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -88, 0, 2, -2.\nAnswer: -88, -2, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18, 86, 200, 360, 566?\nAnswer: 818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -1413715.12 to the nearest 10000.\nAnswer: -1410000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(1700) + -3 + (5*(-1 + sqrt(1700)) - sqrt(1700) - sqrt(1700)))**2 + (sqrt(1700) - 6*(-3*sqrt(1700) + sqrt(1700))) + 2.\nAnswer: -30*sqrt(17) + 1766","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5 + (-387)\/(-36) + 2\/8. Let t(h) = -4*h - 3*h + r*h - 6*h. Let c(a) = 3*a**2. Calculate c(t(x)).\nAnswer: 27*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 + -0.8. Let n = x + -0.11. Let w = 1.91 + n. What is the closest to 1 in -0.3, w, -5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30941.\nAnswer: 30941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16 and 624?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-5)\/(-3))\/((-3)\/(-45)). Suppose -5*k = a, -34 = -2*m + 4*k - 2*k. Calculate the remainder when 43 is divided by m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -850485, -850391, -850297, -850203?\n\"Answer: 94*h - 850579","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*r - 30. Solve 0 = -0*t - 5*t - r for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 525*z + 1 = -73*a + 530*z + 3, 94 = -4*a - 6*z for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/((t\/(t\/(t\/(t\/t**(3\/7)))))\/t))**17*(t\/(t\/(t\/(t*t**(-9\/7)))))\/(t\/(t\/(t**1\/t))*t) assuming t is positive.\nAnswer: t**27","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.52540538 to 2 decimal places.\nAnswer: 1.53","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -17, -28, -41, -56, -73, -92, -113?\n\"Answer: -i**2 - 8*i - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -m**3 - 9*m**3 - 20279 + 23*m**3 - 20270 + 40547 + 17*m**3.\nAnswer: 30*m**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.15 and -540054.\nAnswer: -81008.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0190970185 rounded to four decimal places?\nAnswer: -0.0191","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 7, b: 5, k: 2, m: 4}. What is prob of sequence knk?\nAnswer: 7\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 7*w**3 - 325*w**2 + 3425*w - 256. Determine z(16).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**3 + 9*x**2 + 17*x - 1. Let d be u(-4). Sort d, 8, 3, -2 in ascending order.\nAnswer: -2, 3, 8, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**3 + 38*p**2 - 41*p - 68. Let r be x(35). Suppose 6*i = r + 12. Does 51 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 641, 2582, 5809, 10316, 16097, 23146?\n\"Answer: -h**3 + 649*h**2 + h - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -218 - 232 + 438 - 9*n as z + j*n and give z.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 29488956 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -259323 + 129638 + 129685 - w.\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 2514 = q - 174, -z - 5*q + 468 = 0. Suppose 0*l = -6*l + z. Calculate the remainder when l is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002269 rounded to three decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 32 + -29. Suppose 0 = -2*f - 0 + 6, -r*f + 73 = 4*w. Suppose -395 = -7*s + 2*s. What is the remainder when s is divided by w?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -37524, 0, 64 in descending order.\nAnswer: 64, 0, -4, -37524","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*w = 159*w - 2288. Calculate the smallest common multiple of w and 248.\nAnswer: 496","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (-4 + (-3 - 0))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4.0298 - -53629.0298. Let u = q + -53567.862. Let g = u + -57. What is g rounded to 2 decimal places?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the second derivative of 31*k**3\/6 - 7*k**2\/2 - 44*k. Suppose -c + 13 = -0*c. Calculate the remainder when l(1) is divided by c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Put -6, -3, 11 in descending order.\nAnswer: 11, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 6*h = 2*h. Suppose -7*t + 28 - 7 = h. Let q be ((-193)\/t)\/((-16)\/48). What is q rounded to the nearest ten?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:18 PM and 9:54 PM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 40 - 82. Let u = -508 - -483. Let b = u - s. What is the biggest value in b, 1\/3, -1\/3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xrrrrbbxxrrbpxrrrx. What is prob of sequence xxxp?\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*m - 68*m + 39 = 0. Solve 4 = -m*s - 5 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the second derivative of -g**3\/2 - 8*g - 18. Let p(y) = -y + 20*y**2 - 9*y**2 + y. Give n(p(i)).\nAnswer: -33*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 24 = 9*i - 4*i, 0 = -o - i + 8. Let d be -6*((-5)\/3 + 1). Solve o*j + 4*q - 2*q = 18, d*j + q - 15 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -139591220 by -10.\nAnswer: 13959122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -6*d - 73. Determine x(-11).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - (-7 + 0 - 0) - 9) + 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 62717085 and 86346?\nAnswer: 1630644210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 7*m - 6. Suppose w + 16 = 5*a - 3, 0 = 2*w + a - 17. Let s(j) = 20*j - 17. Let k(q) = w*s(q) - 17*y(q). Let b(t) = -2*t. Determine k(b(d)).\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 502057915?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1760, -1730, -1700?\nAnswer: -1670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 763913 (base 11) to base 5\nAnswer: 303022144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from {f: 5, l: 5}.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3301538 or -3301536?\nAnswer: -3301536","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 283*m - 280*m = 843471, m + 843455 = 3*w. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes before 9:03 PM?\nAnswer: 2:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the first derivative of 2*s**3\/45 - 8*s\/15 - 23. Solve a(g) = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + b + 5*s - 249 = 0, -3*b + 4*s - 187 = 0. Let k = b + 61. Calculate the remainder when 107 is divided by (22\/(-1 + k))\/((-8)\/20).\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(2448) - (2 + sqrt(2448) + 4)) + -1 + -5 + (3*sqrt(2448))**2.\nAnswer: 22025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13 + 18. Suppose -6*c + 3*c = -5*o - 540, -432 = 4*o - 5*c. Calculate the remainder when y is divided by (-240)\/o + 6\/(-27).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1097*w**4 + 62*w - 1106845 wrt w.\nAnswer: -4388*w**3 + 62","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttttqqttqtttqqqtttt. Give prob of picking 2 t and 2 q.\nAnswer: 195\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2412152 (base 6) to base 4.\nAnswer: -132310010","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 16, -2*r + 6*r - 312 = 3*j. What are the prime factors of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -159737 divided by 2\nAnswer: -159737\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 31 + -27. Suppose -c*i + 8*i = 40. What is the remainder when 29 is divided by i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(567) + -2)*2.\nAnswer: -4 + 18*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 33*u - 11. Let t = 17 + -15. Let x = -2 - -2. Which is the third smallest value? (a) x (b) u (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -2*s**3 + 8*s**2 - 18*s - 3. Let w(t) = -t**3 + 7*t**2 - 16*t - 2. Calculate -3*a(l) + 4*w(l).\nAnswer: 2*l**3 + 4*l**2 - 10*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*s = -r + 46 - 13, 2*r + 17 = -3*s + 3*r for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 650056741 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/3, 36674, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -2 + 1 - 6 + 2*l. Let x be d(6). Let f = x - 3. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from {c: 7, f: 7}?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 106455 divided by -7097.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 37432270 to the nearest integer?\nAnswer: 335","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.3 + 0.2. Let a(f) = f**2 + 42*f + 36. Let m be a(-41). What is the third biggest value in j, m, 5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4256 + -5?\nAnswer: 4251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.0785 and -2295026.\nAnswer: -2295025.9215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -3*d**2 + 32*d - 59. Let m be h(12). Which is smaller: m or -96?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m + 50 = 3*m. Suppose -r - 1 = 2*u, m*r + 4*u + 1 = -34. Which is the biggest value? (a) -0.1 (b) -13 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**0)**(5\/4))**(-24)\/((q**(-2))**(1\/17)*(q**(3\/7)*q)\/q**8) assuming q is positive.\nAnswer: q**(-2774\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*w**2 + 6*w**2 + 8*w**2)*(40 - 52 + 29) in the form i*w**2 + f*w + m and give i.\nAnswer: 187","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3107 - 3112. Which is the closest to 3\/2? (a) 0.008 (b) -0.4 (c) j (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/24*-4*-10. Sort a, 12, 2, 3 in ascending order.\nAnswer: a, 2, 3, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 422191663 to the nearest integer?\nAnswer: 20547","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**3\/13 - 3128*w**2\/13 + 890520*w\/13.\nAnswer: -2*w*(w - 246)*(w + 1810)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 26045878 or 26045875?\nAnswer: 26045878","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 4 times -384\nAnswer: -1536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 107 + -91. What is the highest common divisor of n and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**3 - 4*b**2 - 5. Suppose -6*x = 16*x + 110. Let m(i) = 2*i**3 - 6*i**2 - 7. What is x*m(w) + 7*g(w)?\nAnswer: -3*w**3 + 2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 176400\/(-4900)*(-4)\/(-6).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4, 3, -68 in descending order.\nAnswer: 4, 3, -3, -68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -56764, -113211, -169658, -226105?\n\"Answer: -56447*h - 317","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(567)*2*4 + 0)**2 + 1*((2*sqrt(7))**2 + -3 + 3).\nAnswer: 36316","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:31 PM and 6:59 AM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x + 2 = 4*j + 2*x, 20 = -5*j - 5*x. Let y be -6 + (3 - (-4)\/j). Put -1, y, -2 in increasing order.\nAnswer: y, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7499 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -91, -234, -425, -658, -927, -1226, -1549, -1890?\n\"Answer: g**3 - 30*g**2 - 60*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**(-5)*u)\/u**(-1))**37*(u**(-7\/3)\/(u*u*(u\/u**4)\/u))**(-3\/2) assuming u is positive.\nAnswer: u**(593\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 2973259\/1675 + (-2)\/25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.1 (b) -4 (c) 4\/217 (d) -16\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9656 + 8206 = 145*o for o.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 3*h + 44 = -6*h, 3*r - 3*h = 69. Is 5 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*1*6\/(-45).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 0.5 (b) 2\/3 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*c**5 + 2*c**5 - 4*c**5 - 2*c**5 + 3*c**5 + c**5 + (-c**3 + 3*c**3 + 0*c**3)*(3*c - 3*c - 2*c**2) + 7*c - 5*c - 15*c**5 - 3*c.\nAnswer: -16*c**5 - c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 210 = 4*t + 502, 3*t = 5*o - 880. Suppose 0 = -4*l - 4*j + 220, 3*l + j - o = 6*j. Is 8 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71*u + 62*u = -3168. List the prime factors of u.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 + -1000000111001000010?\nAnswer: -1000000111000111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5376101350 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.07 or 390?\nAnswer: 390","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and 0.9.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 19 = 3*h, 0 = -2*p + 3*h - 4*h + 9. Solve 4*g - 23 = -3*q, -18 + 7 = -q - p*g for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4127 - -4131. Let s(z) = z**3 + 24*z**2 - 28*z - 56. What is the remainder when s(-25) is divided by b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -39 - -41. Let o = -0.07 - -0.44. Let j = o + 0.03. Sort j, 2\/11, p.\nAnswer: 2\/11, j, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**3 - 15*n**2 - 8*n - 2. Let w be r(14). Let m be (10\/(-2))\/(10\/w). Let y = m + -40. What are the prime factors of y?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68 - 24 = -4*j - 3*f, -2*f + 28 = j. What is the remainder when 37 is divided by j?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.67852 rounded to two dps?\nAnswer: -0.68","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the first derivative of -y**5\/60 + 5*y**4\/24 - y**3 + y**2\/2 + 5. Let v(p) be the second derivative of r(p). Determine v(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 600*o + 224. Let b(r) = 400*r + 140. Let j(w) = -8*b(w) + 5*v(w). Let x(d) = -4*d**2 + 0*d**2 + 2*d**2. What is j(x(q))?\nAnswer: 400*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 7*v*x**4 - 144*v - 64*x**3 - 2 wrt x?\nAnswer: 28*v*x**3 - 192*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2.3 and -228?\nAnswer: 225.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:09 AM and 6:47 PM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (7\/2)\/((-4)\/874). Let i = -64961\/2 - -31695. Let f = g - i. What is the common denominator of -29\/10 and f?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes before 1:45 PM?\nAnswer: 11:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -8*h**5 - 17*h**4 - 5*h**3. Let s(d) = -d**5 - d**4 - d**3. Let k(a) = 3*g(a) - 3*s(a). Determine n so that k(n) = 0.\nAnswer: -2, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7375720 rounded to the nearest 10000?\nAnswer: -7380000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.097 minus -4753.8?\nAnswer: 4753.703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the third derivative of -p**4\/3 + 29*p**3\/3 + 15*p**2. Let q be u(-6). Let y = q + -106. Solve -3*z - 12 + 3 = y for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 725?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 272616?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 + 45 = h. Suppose 15*m - h*m - 46 = 0. What is the common denominator of -85\/14 and m?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/4)\/((-63)\/(-756)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13569734*-0.2.\nAnswer: -2713946.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -1, 3*m - 12 = -4*x - 1. Let l be 1\/x*28\/(-2). Let h(s) = -128*s - 9. Is h(l) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -79*l + l**4 - 327*l**2 + 76*l + 2*l**4 - 2 + 9*l**3 - 9*l**3 in the form r*l + s + c*l**3 + o*l**2 + d*l**4 and give o.\nAnswer: -327","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -133*i**3 - 9*i**2 + 8*i + 1291855 wrt i.\nAnswer: -399*i**2 - 18*i + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 778675*y - 9230*y**2 - 767588*y + 1545*y**2 wrt y.\nAnswer: -15370","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t - 11 = 3*m, m - 257*t - 2 = -253*t for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102*o + 311 = -811. Calculate the remainder when 339 is divided by o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 10) in base 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -4, 323, 3, -1\/5, -3, -207, -22?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(-4)*(h\/(h*h\/(((h**(-2)\/h)\/h)\/h))*h*h)\/h*h)\/(h*h**(1\/3)*h*h**(2\/9)))**(11\/8))**(9\/8) assuming h is positive.\nAnswer: h**(-1045\/64)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 269\/5 + -54. Let f = -0.3 - -0.3. Let j be (-24)\/99*(-18)\/(-8). Which is the nearest to f? (a) j (b) y (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 703069*d**4 + 45*d**2 + 1117194083*d wrt d?\nAnswer: 8436828*d**2 + 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1586 + 542 = -5973*w + 6029*w for w.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -3*i**2 - 4*i + 3. Let h be f(2). Let q be (-3)\/(-6) + h\/(-2). Suppose 0 = -3*w - 2*t - q, 13 + 8 = -3*w + 2*t. Let y(j) = -j - 3. What is y(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -170611 + 1a?\nAnswer: -1705d5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -j - 2*y - 79, -154 = 2*j - 2*y. Let p be 4\/(-14) - j\/35. Suppose 3*n + 2*r - 17 = -p, 0 = -4*r + 12. Solve -20 = 2*t + n*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 + -3 + 8)\/(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/6*84\/(-14). Solve -3*n + n = -d, -q*d = -3*n + 10 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l - 41*q + 36*q + 30, l - q + 6 = 0. Let h = 547\/28 + -81\/4. Are l and h unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 176076 and 9498.\nAnswer: 278728308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-18654)\/(-21) + (-4)\/14. Let h = p - 362. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2753 or 876?\nAnswer: 876","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3775 and 1563550.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 255379?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 70180917 to the nearest integer?\nAnswer: 8377","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 + 0 + 1 - -2. Suppose 5*j + 18 - 3 = 0, 3*j + g = 5*u. What is the units digit of (-3)\/(-6)*(3 + u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20627?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1705 and 4495.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 64*g**2 - g - 5. Let a be p(-5). Suppose a = 3*x + 4*y + 590, -4*y = -20. Let l be (1 + -10)\/(x\/20). Which is smaller: -0.1 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10.008 + -10. Let k = g - 0.05. Round k to 2 decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -2*o**5\/7 + 612*o**4 + 479888*o**3\/7 + 449188*o**2 - 479886*o\/7 - 449800 = 0.\nAnswer: -100, -7, -1, 1, 2249","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 37.9 - 40.9. Which is greater: z or -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -2*x + 1. Let g = 10 - 9. Let a be b(g). Is a at least -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6257*m + 6252*m - 3*v - v - 75 = 0, 2*m = 7*m + 3*v + 70 for m.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a**2 - 3*a**2 + 0*a**2 + (3*a - 5*a + 0*a)*(3 - 3 - 2*a) - 2*a**2 - 2*a**2 + 2*a**2 + 0*a + 0*a + a**2 - a**2 - 4*a**2 + 2*a**2)*(-4*a + 3*a + 4*a).\nAnswer: -3*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -20 - 18 - 37 + 79 + d - d**2 in the form f*d**2 + i + v*d and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(108) + 0 - sqrt(21)\/sqrt(28)) + 5)**2 + -4 + (sqrt(3) + ((sqrt(192) - (-1 + sqrt(192)))**2 - sqrt(192)) - ((sqrt(27))**2 + -2 + sqrt(3))).\nAnswer: 47*sqrt(3) + 351\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 104 * 3.4002\nAnswer: 353.6208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1112 a factor of 31111564?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 27*(0 + 1) - (-7)\/(-7). Suppose -16 = -2*o + g. Solve 3*k - 8*k - o = 2*y, -3*k + y = 6 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aavv when four letters picked without replacement from yavayv?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 53*i = -i - 59*i + 67, q - 4*i = -34 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**2 + 5*n - 5. Let k be o(4). Let v(q) = 8*q**2 + 2*q + 10. Let w(t) = -t**2 - 1. Give k*v(c) - 10*w(c).\nAnswer: 2*c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence snss when four letters picked without replacement from nnnnnsnnsnnnnnnssns?\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 459*t + 395 + 301 = -222 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 101 - 96. List the prime factors of 170*(5\/z + 0).\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/5)\/((-122)\/610)*1\/(-4).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -533 + 2152 - 543 - 534 + 286*r**3 - 542.\nAnswer: 286*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -6*y + 2540. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 817401888 divided by -41208.\nAnswer: -19836","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 4) to base 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes after 10:18 AM?\nAnswer: 9:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/3*(-2030)\/(-435).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 40 and 174644.\nAnswer: 1746440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -106221 (base 8) to base 4.\nAnswer: -20302101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 n when two letters picked without replacement from {g: 3, a: 6, o: 3, c: 1, n: 1, k: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 4}. Give prob of sequence ssss.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-3) - (-46)\/60. Suppose 4*y - 28 = -2*k, -2008*k + 3*y + 5 = -2003*k. Sort 2\/9, 2\/5, l, k.\nAnswer: l, 2\/9, 2\/5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -930492, -1861004, -2791516, -3722028?\n\"Answer: -930512*h + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1 and 666?\nAnswer: 666","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**3 - 2*l**2 - l + 4. Let r be i(2). Suppose -r*y = 7*y - 1638. What is the tens digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -4*v. Let i(c) be the second derivative of -3*c**4\/4 - 43*c. Determine i(j(f)).\nAnswer: -144*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**3\/3 - 18688*f**2 - 74744*f - 224224\/3.\nAnswer: -2*(f + 2)**2*(f + 28028)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (0 + sqrt(567))**2.\nAnswer: 565","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**39*g*g**15*g)**(11\/6) assuming g is positive.\nAnswer: g**(308\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*t**3*w**3 + 197*t**3 + 153*t**2*w**3 + 5*t**2 wrt t.\nAnswer: 12*w**3 + 1182","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 30807 + -30804.9661. What is t rounded to two decimal places?\nAnswer: 2.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 5, l: 2, m: 4}. Give prob of sequence lz.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10041?\nAnswer: 3, 3347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(-2)\/(-624)*(-61)\/((-1830)\/120).\nAnswer: -1\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.32 + -1.62. Which is smaller: 0.06 or m?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-90)\/(-21))\/5*-7. Let t be (12\/(-15))\/(c\/15). Solve t*k + k - 9 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in w**2 + 44 - 44.\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -56.34 rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2023 (base 9) to base 2\nAnswer: 10111000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -28*t**2 + 10*t - 5*t - 5*t in the form i*t**2 + x + s*t and give i.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 829.5977 micrograms to grams.\nAnswer: 0.0008295977","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -85\/1368 and -167\/1980.\nAnswer: 75240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -196.304 or -1?\nAnswer: -196.304","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*l = 19*l + 11 + 5. Let k(h) be the third derivative of 1\/6*h**l - 2\/105*h**7 + 0*h + 4*h**2 + 1\/15*h**5 + 0 + 0*h**3 - 1\/30*h**6. Factor k(s).\nAnswer: -4*s*(s - 1)*(s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/27 and -23\/15.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5061.\nAnswer: 3, 7, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in three fifths of a microgram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 99\/40 and 33\/16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000013159107 to 7 decimal places.\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + -9 + 10 - -8?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 134533599?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/48 and -19\/36.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the second derivative of 207*a**4 - 645*a**3\/2 - 1799*a. Find the second derivative of q(c) wrt c.\nAnswer: 4968","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2308656?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 453?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g = 9574*t - 9570*t - 73, -2*g - t = -20 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g*(g**(2\/29)*g)\/g)**35)**14)**(9\/7))**(-32) assuming g is positive.\nAnswer: g**(-624960\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2076, 4\/9, 0.2, -5, 928\/9?\nAnswer: 928\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -101, -193, -285, -377, -469, -561?\nAnswer: -653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 6*f**2 + 7*f - 27. Let w be m(8). Let g = 1723\/4 - w. Find the common denominator of 68\/3 and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63231 to the power of 1\/2, to the nearest integer?\nAnswer: 251","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 - 121655904?\nAnswer: -121655904.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -231 = -2*q - 5*t, t = -4*t - 15. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 670 divided by -134.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -68762, -137013, -205264, -273515, -341766?\nAnswer: -410017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -639 - -262. Let i = -1919\/5 - j. Calculate the common denominator of 27\/35 and i.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 72\/(-192)*(-32)\/6. What is the biggest value in 5, x, -2, 3\/10?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -39 + 11*g**5 + 39 + (g**2 + 0*g + 0*g)*(2*g**3 - 6*g + 6*g) + 3*g**3 + g**5 - 3*g**3 + (0*g + 2*g - 3*g)*(2*g - 2*g**4 - 2*g).\nAnswer: 16*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 16 = 52. Let y = 1065 + -1017. What is the greatest common factor of f and y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10520173516434116 - -10520173667151809.93999853. Let b = 150717697 - z. Let d = b + -3.06. What is d rounded to seven dps?\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/24783 and 85\/693924?\nAnswer: 693924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.1 + 0.1. Suppose l + 0*l - 3*m - 9 = 0, -2*m - 13 = -3*l. Let i = -5 - -6. Which is the smallest value? (a) i (b) l (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 27 = 13*j. Let o be (-1)\/(j\/(-17)) + 2\/4. Let b(k) = 13*k**2 + 8*k - 8. Let p(n) = 9*n**2 + 5*n - 5. Calculate o*p(i) + 5*b(i).\nAnswer: -7*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9\/154 and (-6)\/216*-362 - 7.\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 19*l**2 + l + 1. Let h be v(-1). Suppose 0*p - p + h = 0. Let b = 24 - p. Solve 3*x = b*a - 26, -4*a + x + 11 = -7 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.03827 at most as big as 54?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**2\/3 + 110*y\/3 + 109\/3.\nAnswer: (y + 1)*(y + 109)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1132 or 1113?\nAnswer: 1132","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 169 in 2\/13, -2\/3, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes before 6:23 PM?\nAnswer: 10:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -5*s**3 + 1 + s**3 + 0 + 3*s**3 - 6*s**2. What is a(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*c + 15*c + 2*p = 3*p + 1, -3*c = -5*p + 27 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2110.213 rounded to 0 decimal places?\nAnswer: -2110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -25*d**4 - 10*d**3 + 100*d**2 + 40*d.\nAnswer: -5*d*(d - 2)*(d + 2)*(5*d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 468442087 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.153, 1\/5, 3, -4, -2 in descending order.\nAnswer: 3, 1\/5, 0.153, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**2 - u. Let d(l) = -2*l**2 + 5*l + 7. Let o(a) = d(a) - 3*s(a). Determine o(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiiiiiiiyiyiyiiiiiiy. What is prob of picking 2 i and 1 y?\nAnswer: 8\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 155 + -97 + -20 + 0 + 71?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1498880 and 16640.\nAnswer: 1280","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 73, 117, 153, 175, 177, 153, 97, 3?\n\"Answer: -s**3 + 2*s**2 + 45*s + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1249?\nAnswer: 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 4, r: 2, e: 1, x: 4}. Give prob of picking 2 r and 1 e.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 6, n: 13}. What is prob of picking 2 b?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(2\/11)*n*n\/(n\/(n\/(n*n**(-6\/7)))*n)*n*n)**(36\/5))**(-44) assuming n is positive.\nAnswer: n**(-44784\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*l - 8 = q + 67*l, 5*l - 18 = 2*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -33 in 2\/15, 1, 0, 1\/3452, 0.7, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - -7 - (49 + -50 - (4 - 1)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -45.431271913 + 0.431271853. Let a = 45 + o. What is a rounded to seven decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 9886*n**3 - 14*n**2 - 14*n + 7721. Let i(v) = 1977*v**3 - 3*v**2 - 3*v + 1543. Let w(b) = 14*i(b) - 3*q(b). Find the first derivative of w(a) wrt a.\nAnswer: -5940*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -362 - -221455?\nAnswer: 221063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is 34\/5 of a litre in millilitres?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -160*a - 1. Let t be (1\/(-1))\/((-6 + 4)\/30). Suppose -2*w - 5 = 2*s + t, -5*s - 5 = 0. Is i(w) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/1*(-14)\/(-336)*-8.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -19 + 39. Let w(h) = 13 + i - 35 + h. Determine w(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-312756)\/135 + (-2)\/5. Suppose -4*f = -5*f + 2309. Let r = o + f. Find the common denominator of -51\/7 and r.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 270 + -267. What is the nearest to 0.1 in -0.2, i, 3\/8, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16020596597 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 210583, 421130, 631611, 842026, 1052375, 1262658?\n\"Answer: -33*n**2 + 210646*n - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 11 = 5*t, -1259 = -t - 1260 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 985*u**5 - 148745*u**4 + 5382565*u**3 + 18072325*u**2 - 23544290*u + 237160 = 0 for u.\nAnswer: -4, 2\/197, 1, 77","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**2 + 6*k - 4. Let f be m(4). Suppose -f*y = -3*d - 32, 0 = -0*y + 3*y - d - 19. What are the prime factors of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 5*i**3 + 4*i**2 + 6*i + 5. Let r(t) = -9*t**3 - 7*t**2 - 11*t - 9. Give -11*c(g) - 6*r(g).\nAnswer: -g**3 - 2*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 30 and 170.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 11) to base 3\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -6300 (base 7) in base 5?\nAnswer: -32310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 636*s - 12181 - 13731 = -38*s + 42*s for s.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(2*(3 + (-1 + sqrt(605)*-1 + sqrt(605) + (sqrt(605) + sqrt(605) + sqrt(605)*-2 + sqrt(605) - sqrt(605))*-2)*4))**2.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/1*25\/50.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -222702 by -101.\nAnswer: 222702\/101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15 and 1400565.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.5, 4, 198, 9, 2, -19.011?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-140)\/42*6\/(-4). Suppose 0 = 2*j - 19 - h. Suppose -4*x + 3*x + 36 = 0. Calculate the greatest common factor of x and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j + 1. Let a(k) = -793*k - 4. Determine -a(s) - 4*i(s).\nAnswer: 789*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-seven fifths of a litre?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**3 - 8*n**2 + n + 13. Let t be p(-8). Solve 0*b = -r - t*b, -3*r - 3*b = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-13) - (-466)\/1092) + 10\/(-30).\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -1\/4, 13914 in decreasing order.\nAnswer: 13914, -0.1, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 4*k - 15. Let d be v(8). Suppose 0 = i - 30 - d. What are the prime factors of i?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11 + -7. Let m(p) = p**3 + p**2 - p. Suppose -2*f = 2*f + 4*c - 20, 10 = 2*c. Let d be m(f). Solve d = v - g*v - 3 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2*11\/((-88)\/(-224)). Let w be (-8 + (-288)\/m)*(-5 + -2). What is the highest common divisor of w and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 263063 - -103?\nAnswer: 263166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 15020809?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h - 17. Let x(m) be the first derivative of 2*m**3\/3 - 279. Calculate o(x(s)).\nAnswer: -2*s**2 - 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.1 - 2.9. What is the biggest value in 4, -2, t?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 4*t + 30. Let l be n(-14). Let q be (-3)\/(l\/4 - -5). Solve q*z - 6*z = -12 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 109288 and 40?\nAnswer: 546440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 3*l**3 - 2*l**2 - 120*l - 2. Let k(o) = 5*o**3 - 3*o**2 - 176*o - 3. Determine 5*k(b) - 8*q(b).\nAnswer: b**3 + b**2 + 80*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/(-4))\/(((-5)\/10)\/(-1))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.46 * 0.89393.\nAnswer: 0.4112078","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00004839585 to 6 decimal places.\nAnswer: -0.000048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 - 7. Let m(d) = -d - 5. Let l be m(v). Suppose l*x = -2*x + 40. List the prime factors of x.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 312\/7*l**2 - 16854\/7 - 1113*l - 3\/7*l**3.\nAnswer: -3*(l - 53)**2*(l + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 8236, 32972, 74194, 131902?\n\"Answer: 8243*r**2 + 7*r - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t - 2*t - 26 = -5*r, -6 = -3*r. Suppose 3 = 3*o - 2*j, -t*o - j + 6 = -9. Solve -s = 3*w - 9, -5*s + 5 + 4 = o*w for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1267 is divided by 175?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 570623*i. Let s(v) = 4*v**2. Calculate s(f(l)).\nAnswer: 1302442432516*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -33553 - -351?\nAnswer: -33202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -58 + 60. Let f(m) = -6*m**2 + 2*m + 2. Let t be f(a). Is t\/(-48) - 10090\/(-16) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 189912613 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (17\/(-2))\/(4\/(-16)). What is the derivative of i*w - 18*w - 115*w**2 - 16*w + 34 wrt w?\nAnswer: -230*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -40.1755991 to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.6 - -0.7. What is the nearest to -0.1 in h, 3\/7, 3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/544 and -1\/56?\nAnswer: 3808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:52 PM and 6:05 AM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 336478?\nAnswer: 2, 37, 4547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 divided by 97?\nAnswer: -30\/97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes after 7:05 PM?\nAnswer: 7:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 45, 44, 43, 42?\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1058 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: Three letters picked without replacement from {x: 2, y: 1, n: 4, b: 1, v: 2}. What is prob of picking 3 n?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*r**2 - 3 + 2*r + 3*r**4 + 2 + 9 - 10 to the form v*r + s*r**3 + a*r**2 + h*r**4 + k and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(1053) + -1)**2 + -5)*1 + (4 + 4 + sqrt(1053) - (sqrt(1053) + -5 + 2))**2.\nAnswer: -6208 + 108*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-5 - -2)\/(14\/8 + -1). Put g, -1, -5, 2 in decreasing order.\nAnswer: 2, -1, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 2*z**3 + 5*z**2 + 2*z**2 - 10*z - 6 + 4*z**2 - 6*z**2 + 15*z. Let l(o) = -o**3 - 3*o**2 - 3*o + 3. Give 6*i(a) + 10*l(a).\nAnswer: 2*a**3 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 68*i**3 + 8 - 8*i**2 - 88*i**3 - 6*i**2. Let u(y) = 7*y**3 + 5*y**2 - 3. Let r = -3 - -8. Let s(k) = r*q(k) + 14*u(k). Differentiate s(l) wrt l.\nAnswer: -6*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3114 times 10?\nAnswer: 31140","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 4*k + 6*k**2 - 4*k + 0*k**3 + 4 - 5*k - k**3. Let c be h(5). Let t be -2*1\/(c\/(-6)). Solve -t + 1 = -2*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13.9 + -14. Let j = -598\/5 - -120. Suppose 4*l = -8*q + 6*q - 30, 15 = -3*q. Which is the second smallest value? (a) l (b) j (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 6*r. Let t(j) = 1007*j + 35. What is g(t(a))?\nAnswer: 6042*a + 210","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -153 - -134. Let y be -1*5 - l\/((-1254)\/(-336)). What is the third smallest value in -4, 44, y?\nAnswer: 44","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o + 3*o - 2*o)*(o - 3*o + 4*o)*(-2*o**3 + 4*o**3 - 4*o**3).\nAnswer: 4*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 2616*i**2 - 4*i - 2610*i**2 - 11 - 4*i. What are the prime factors of j(-7)?\nAnswer: 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.9 + 0.1. Suppose 36*p + 4*v - 9 = 31*p, -4*v + 15 = 3*p. Let g = 175\/2 - 85. Which is the closest to -2\/7? (a) y (b) g (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/173134620 and -151\/62316?\nAnswer: 519403860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 11*s**3 + 6*s**2 - 5. Let w(y) = -34*y**3 - 17*y**2 + 14. Let q(g) = -17*j(g) - 6*w(g). Let x be 1\/(-3)*21\/(-7). List the prime factors of q(x).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-7)\/(-112)*(-4)\/(-6) + 0. Let v(o) be the third derivative of 0*o + 0 - 19*o**2 - m*o**4 + 1\/2*o**3. Determine v(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 106\/((-3 - -4) + -3). Let q = a - -60. List the prime factors of q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-128*5)\/(-16)*27\/45)\/(-14).\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a litre in millilitres?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-45)\/6)\/5*-2. Suppose 0*x**4 + 5*x**4 + 3*x**3 + 0*x**f = 0. Calculate x.\nAnswer: -3\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 3*r - 33664 = 0, r - 33680 = -0*x + 4*x. Let q = x - -12688. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*0.0525007.\nAnswer: 0.1575021","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -125 = -3*p - 4*m - 113, -2*p = -5*m + 15 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0467136 rounded to 3 dps?\nAnswer: 0.047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z - 3*z + l = -480, 3*z = 3*l - 288. Calculate the common denominator of (-268)\/z*(-20)\/15 and 65\/3.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5172.2 rounded to the nearest one hundred?\nAnswer: -5200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 1 - (-6 - -15).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**3 + 9*x**2 - 9*x + 12. Let w be p(-10). Sort w, 0, 5.\nAnswer: 0, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-2*sqrt(156))\/(sqrt(972)*2).\nAnswer: 4*sqrt(13)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*y - 31*y = -88 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 75885?\nAnswer: 3, 5, 5059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 104*v - 20. Let s(r) = -r. Let l(q) = -q**2 - 24*q + 1. Let g be l(-24). Let f(a) = g*t(a) + 20*s(a). What is the derivative of f(n) wrt n?\nAnswer: 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*q - 8*q = -2*a + 6, -5*q + 2*a = 20 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4034?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*v**3 - 5*v**3 - 9*v**3.\nAnswer: -8*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69115 = -5*b - 18*b. What is the hundreds digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*x + 2*i = 20*x + 81, -11*x - 144 = 7*i for x.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.04 and 1.9.\nAnswer: -0.076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -2*b - i - 2*i, 10 = 5*b - 5*i. Suppose 6*s + 220 = 16*s. What is the remainder when s is divided by 26\/b + 2\/(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, -1, -0.4413?\nAnswer: -0.4413","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -3644, -3681, -3732, -3791, -3852, -3909, -3956?\n\"Answer: y**3 - 13*y**2 - 5*y - 3627","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z + 2*y = 30, 3*z - 6*z - y - 7 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7794 is divided by 278?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7050290?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 (base 14) in base 6?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (-55)\/(-30) - 2\/(-12) and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(10\/(-11) - -1). Suppose -3*a = -n - 7. Solve -3*q = a - 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f - 6. Let q be b(-3). Let t be ((-91)\/(-1))\/((-9)\/q). Calculate the remainder when 51 is divided by (2 - 3)\/((-7)\/t).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 k, and 1 u when three letters picked without replacement from {k: 1, a: 1, o: 2, u: 4, f: 6, m: 1}.\nAnswer: 24\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.854 and -0.4.\nAnswer: -0.7416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 3, -1, -2, 10 in increasing order.\nAnswer: -6, -2, -1, 3, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1201, 4519, 12073, 25981, 48361?\nAnswer: 81331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -2*i**2 - 17*i + 34. Let g be w(2). Let j(h) = -h + 3. Give j(g).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-122)\/671)\/(1\/(-11)). Sort -4, p, -23.\nAnswer: -23, -4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 7*o**2 - 10*o. Let d(i) = -i**2 - i. What is -3*d(f) - g(f)?\nAnswer: -4*f**2 + 13*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2936*w**2 - 3502*w?\nAnswer: 5872","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.7? (a) 5 (b) 0.2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/2 (b) 0.17 (c) -0.5 (d) 0.155 (e) -2 (f) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 8*p + 2. Let k(s) = -s**3 - 5*s**2 + 6*s + 2. Let z be k(-6). Let g be j(z). Let i = g - 9. What is the greatest common factor of i and 81?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 15 and 8?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 132 and 88?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (10\/(-2) + 1)\/(-2). Let v(w) = -4*w - 1 - w**2 + 3*w**2 + 2 + y*w. What is the units digit of v(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 10*r - 64. Let p be s(19). Which is greater: p or 135?\nAnswer: 135","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.14169 to two dps.\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -207316, -207320, -207326, -207334, -207344, -207356?\n\"Answer: -p**2 - p - 207314","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(1*sqrt(70) + sqrt(70))*3*1)\/((sqrt(490) + sqrt(490)*-2 + sqrt(490) + sqrt(490))*-5*-2))**2.\nAnswer: 9\/175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 62 = b. Let d be ((-5)\/(-5))\/((-2)\/112). Let c = b - d. What is the remainder when c is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13227*k + 13227*k - 39666*k + 13216*k.\nAnswer: 4*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 202 is divided by 23?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -28*w - 23*w - 17*w + 66*w - 181*w**2 as l + u*w**2 + o*w and give u.\nAnswer: -181","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = -4*z + 26 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-13)\/52*5\/(255\/24)\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5521.242nm to centimeters.\nAnswer: 0.0005521242","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 2*d**2 + 18*d + 31. Is m(-15) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 171 and 1862.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*l - 8*l + l)*(18*l + 9*l + 25*l + (-5 + 1 + 3)*(-2*l + 7*l - 2*l)) in the form a*l**2 + t + o*l and give a.\nAnswer: -196","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 7958 = -4*d - 4514, -2*v = -4*d - 4972. Is 9 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -24, -46, -6 in descending order.\nAnswer: -3, -6, -24, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -534*t + 2042*t - 539*t + 1 - 968*t.\nAnswer: t + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 2*o + 6*u, 5*o - 5*u = 0. Let d be o - -2 - 3 - 1*-47. Suppose -3*x = r + 19 - d, 3*x = 2*r - 54. Is r a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**3 - 4*l**2 + 5*l + 3. Let z be k(-5). Suppose -n + 0*b - z*b = -7, 0 = 5*n + 4*b - 13. Solve 5*f - n = -16 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/14)\/(36\/168).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 511, 801, 1091, 1381, 1671?\nAnswer: 1961","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p + 1. Let a(s) = 5*s + s - 4 - 2*s. Let k = 515 - 767. Let c be 7\/k*-8 + 44\/(-36). Give c*a(g) - 5*q(g).\nAnswer: g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.1009568 (b) 2 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 5 = m. Let c = -2 - m. Suppose -3*x + 5*o = -0*x - 23, -2*x - c*o + 26 = 0. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2\/25855 + 25863\/103420. Let o = 427\/11 - 39. What is the closest to -0.22 in -2\/3, -0.5, o, t?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51785 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/5, 0.2, -1, 3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 36638681 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -84454\/2379441 + 2\/21057. Let b = 182\/1243 - n. What is the closest to 1\/3 in b, 5, -1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (37\/(-2))\/(168\/336) - -12\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1632, -2900, -3872, -4554, -4952?\nAnswer: -5072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 481301967, 481301968, 481301969, 481301970, 481301971?\n\"Answer: g + 481301966","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -2*l - 28. Let s be u(-8). Let o be ((-16)\/s)\/(3\/54). What is the highest common divisor of o and 48?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l + l = 63. Let z(f) = -f + 2. Let p be z(-3). Suppose 33 = p*x - 2*x. Calculate the lowest common multiple of x and l.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1932, -1973, -2002, -2013, -2000, -1957?\n\"Answer: s**3 - 48*s - 1885","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 527*g**2 - 6 - 272*g**2 - 52*g - 253*g**2 as s + t*g**2 + k*g and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2407173102.\nAnswer: 2, 3, 73, 317, 5779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*k + 444 + 345 - 619 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-27*o**3 - 18*o**3 + 8*o**3)*(-1 + 1 - 2) + o**3 + 0*o**3 + 0*o**3 as p*o + s*o**3 + x*o**2 + l and give s.\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*x**6 + 9*x**4 - 1078066*x**3 - 28949818*x**2?\nAnswer: 240*x**3 + 216*x - 6468396","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the second derivative of -2*b**3 + b**2 - 10221*b. Let i be 2\/(-5) - 24\/(-10). Calculate u(i).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (14 + 2 + -8) - (-4 - -40)\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 10 divided by 10\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5472903 is divided by 12135?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12, -22, -22, -6, 32?\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Do 12.018 and -0.2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -3*(sqrt(1872) + 1)*-2)*5.\nAnswer: 15 + 360*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j - 2*o + 222, -o - 104 = -2*j + 2*o. What is the third derivative of -j*s**2 - 7*s**5 + 3*s**5 + 34*s**2 wrt s?\nAnswer: -240*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 - -2212120212002?\nAnswer: 2212120212001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*b**3 + 0*b**3 + 3*b**3 + (0 + 0 + 2*b**3)*(1133 - 557 - 649).\nAnswer: -145*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 511*x = 1182*x + 11407 for x.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**3\/9 - 196598*y**2\/9 - 4836552334*y\/9 - 255785327674\/9.\nAnswer: -2*(y + 53)*(y + 49123)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -19\/2 + 10. Suppose 789 - 2481 = 9*o. Let s be (-58)\/56 - (o\/(-28) + -7). What is the closest to 0 in s, -2\/11, v?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y**(-2)\/y))**(27\/2))**49 assuming y is positive.\nAnswer: y**2646","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -6108479, -12216961, -18325443, -24433925, -30542407?\n\"Answer: -6108482*o + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -72*((-20)\/6)\/5. Let b(n) = 2*n**2 - 2. Let z be b(-2). What is the greatest common divisor of z and y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 2*k + 1. Let t be f(3). Let s = t + -2. Let a be (-23)\/(-5) + 2\/s. Solve 15 = -0*l - a*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4896251?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -284a (base 11) in base 5?\nAnswer: -104214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -350 smaller than -315?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 81*c**2 + 2*c - 3*c - 87*c**2 - 31*c**2 - 47*c + 47*c + (0*c - 3*c + 2*c)*(-2*c - 4*c + 5*c) + 5*c**2 - 5*c**2 + 3*c**2.\nAnswer: -33*c**2 - c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t - 436 = 9*y - 461, 45 = 4*y + 5*t for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2580)\/(-117) - (-8 + 30)?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -731 - -2957\/4. Find the common denominator of (-2)\/10 - 518\/60 and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*i = -28*i + 2416. Let l = 583 - i. Does 16 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 3*v**3 + 56*v**2 - 23*v + 63. Calculate w(-19).\nAnswer: 139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.48 - -0.02. Let w = 31 + -49. Let i be (-6)\/27 - 22\/w. Which is the closest to i? (a) -3 (b) -2\/5 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1918?\nAnswer: 2, 7, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 + (1 - 1))*290. Calculate the highest common factor of y and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -32\/3, 4, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Total of -15820.3 and 0.7.\nAnswer: -15819.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -y**3 - 1046*y**2 + 11653*y + 27482 = 0.\nAnswer: -1057, -2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -656, -2659, -6006, -10697, -16732, -24111?\n\"Answer: -672*w**2 + 13*w + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 153*n + 636 = -42*n + 36*n. Which is the smallest value? (a) n (b) 4 (c) -439\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1005 is divided by 41?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kuuukk. What is prob of sequence kk?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12863 - 12338. Calculate the greatest common factor of u and 1365.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4090850 to the power of 1\/3, to the nearest integer?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -766 + 725.7. Let m = 42 + q. What is m rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 + 0. Suppose v + m - 3 = -0*v, -4*v + m = 13. Let i = v - c. Solve -s - 5*x + 21 = 0, -i*s - 3*x + 7 + 7 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/19, -0.3, -5, -7.3?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-15))\/(5702\/(-2822490))?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 341632018 a multiple of 98?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u + 6 - 11 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 71600?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (6\/(-15))\/((-22)\/21395). Suppose -27 = -16*c + m. What is the remainder when 180 is divided by c?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21543288 rounded to the nearest one hundred thousand?\nAnswer: -21500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*a**3 + 35*a**2 - 1106*a.\nAnswer: 42*a + 70","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - i**4 - 3 + (i**2 + 2*i**2 - 4*i**2)*(0*i - i**2 + 0*i) + 0 + 0 + 3*i**4)*(-1 + 1 + 2*i).\nAnswer: 6*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3 + (-188)\/(-36) - 4\/18. Solve 0 = 4*h - l + 14 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1401 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 8285 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 32 + -35. Put -11, 3, v in decreasing order.\nAnswer: 3, v, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -115 - -115. Find the first derivative of h + 20 - 10 + 29*q + 14 wrt q.\nAnswer: 29","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*o + 1548 - 1548.\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 244064?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4281 - 673. Is y a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is i in i**5\/4 - 16155*i**4\/4 + 43261017*i**3\/2 - 37764060347*i**2 - 3431763587982*i - 35705677037400 = 0?\nAnswer: -75, -12, 5414","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -202111 (base 3) to base 6.\nAnswer: -2321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**2\/7 - 3660*a\/7 + 14608\/7.\nAnswer: 2*(a - 1826)*(a - 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, x: 3, c: 1, r: 5}. Give prob of picking 1 c and 1 x.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -4*t + 9. Let s(q) = 2*q - 1. Give 10*s(l) + 6*v(l).\nAnswer: -4*l + 44","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -82, -132 in increasing order.\nAnswer: -132, -82, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the third derivative of r**5\/20 - r**4\/12 - r**3\/6 + 6*r**2. Let i be g(2). Factor -i*m**4 + 6*m**4 - 11*m**4 + 52*m**3 + 12*m - 52*m**2 + 0*m.\nAnswer: -4*m*(m - 3)*(m - 1)*(3*m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00637571 to 5 dps.\nAnswer: -0.00638","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (67*u**2 + 4*u**3 - 67*u**2)*((-1 + 2*u + 1)*(-4 + 3 + 0) + 3*u - 3*u + 5*u) + 4*u + u**4 - 4*u.\nAnswer: 13*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -188, 9 in decreasing order.\nAnswer: 9, -4, -188","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1122240 and 756.\nAnswer: 10100160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/3 + 4\/(-6) - (-2635)\/155. Solve 23*a - 18*a + z = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23215534 is divided by 72?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2 - -11)*(4 - 3)*3. Suppose -a + f = -25. List the prime factors of a.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j**2 + j**2 + 0*j**2 + (0 - 3 + 1)*(-3*j - j**2 + 3*j) + 0*j**2 + 0*j**2 - 2*j**2 - 4*j**2 - 11*j + j**2 + 8*j)*(3 + 21*j - 3).\nAnswer: -21*j**3 - 63*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 3*v - 153. Let q be t(0). Round q to the nearest 10.\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 4*b**2 - 5*b - 10. Let g(s) = -2*s**2 + 2*s + 4. Let p(c) = 5*g(c) + 2*u(c). Let z be ((-2)\/6)\/((-3)\/18). Let w(i) = i - i - 4*i**z. Give w(p(q)).\nAnswer: -16*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 122010 + 12010?\nAnswer: 200020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.95 + 0.9. What is the closest to -1 in -0.1, 2, s?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iyxq when four letters picked without replacement from {y: 1, x: 1, q: 1, m: 5, i: 4}.\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -21438 or -21441?\nAnswer: -21438","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 10333, 41455, 93317, 165919, 259261?\n\"Answer: 10370*p**2 + 12*p - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 - 0.0647\nAnswer: -0.2647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60)\/sqrt(2)*-1*1)\/(sqrt(120)\/(sqrt(972)*3)).\nAnswer: -27*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 133 + -74. Suppose -11 + d = 4*l. Suppose -13*f + 297 = 89. What is the smallest common multiple of l and f?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8\/((-2880)\/(-10))*4\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2720, 2947, 3174, 3401, 3628?\n\"Answer: 227*j + 2493","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -266 by 2280836.\nAnswer: -7\/60022","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 189444705481 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 1701?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**2 - 13 - 33 - 936*f + 949*f. Let m be j(-16). Solve -u + m = -2 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 186559, 186552, 186547, 186544, 186543?\n\"Answer: h**2 - 10*h + 186568","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-3\/14)\/y)\/(y\/y**(3\/4)))\/((y\/(y*y**(-6)*y))\/y**(-2\/25)) assuming y is positive.\nAnswer: y**(-4581\/700)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3309\/455 - 99\/13. Let t = a + 274\/595. Suppose 0*c - 3*p + 17 = 5*c, 2*c = -4*p + 18. Which is smaller: c or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -65 - -197\/3. Let p(j) be the first derivative of -n*j**3 - 8*j - 4*j**2 - 3. Suppose p(g) = 0. What is g?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 12\/25 of a centimeter?\nAnswer: 4800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(2\/13)\/j*j*j*j)\/j*j\/j**(-2\/3))**14*j\/(j\/j**(1\/10))*j**(3\/10)*(j\/j**(2\/15))\/(j\/j**(-2\/5)) assuming j is positive.\nAnswer: j**(3468\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.5080762 to one decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 50\/18 - (-10)\/45. Suppose -n*y = -3*k - 21, -3*k + 0*k - 5 = 5*y. Suppose 2*r + y*r = 52. What is the remainder when 49 is divided by r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2609 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the first derivative of -2*l**4 - l**3\/3 + 6*l**2 - 2*l - 80. What are the prime factors of g(-4)?\nAnswer: 2, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ououuuuuuuuuouu. What is prob of picking 2 u?\nAnswer: 22\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -281*n**3 + 46*n**2 - 5. Let p(b) = -94*b**3 + 15*b**2 - 2. Let m(c) = -4*a(c) + 11*p(c). What is the third derivative of m(l) wrt l?\nAnswer: 540","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -15 + -128?\nAnswer: -144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.957069 + 689?\nAnswer: 690.957069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-y**2 + 2*y**2 - 3*y**2)*(4*y - y - 2*y) + (-49*y + 21*y - 23*y)*(27*y**2 - 9*y**2 + 8*y**2) to the form c*y**3 + v*y**2 + x*y + a and give c.\nAnswer: -1328","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8135 to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 153 + -147. Let l = v + -11. Let u be (4\/6)\/((-33)\/(-9)). Put u, 5, l in descending order.\nAnswer: 5, u, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108*m - 2113 = -106*m + i, 0 = 2*m + 5*i + 2093. Put m, 0, -2 in increasing order.\nAnswer: m, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 104, 422, 946, 1670, 2588, 3694?\n\"Answer: -l**3 + 109*l**2 - 2*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 86998 rounded to the nearest 10000?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1000011 (base 2) to base 13.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91*a + 622 = 167 - 910 for a.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:17 PM and 12:25 AM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -58 - -62. Sort 2, m, -11, -1\/8 in ascending order.\nAnswer: -11, -1\/8, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i*i**(-37)*i**(2\/5))\/(i**(1\/31)*i*i\/(i\/(i\/i**(8\/11)))))**31 assuming i is positive.\nAnswer: i**(-61218\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -2*j**2 + 38*j + 132 = 0?\nAnswer: -3, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.19 (b) -1 (c) -3 (d) -1102 (e) 0.4 (f) 0.2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 + 6 = 3*g. Let k(w) = 25*w + 2. Is k(g) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 74 + -113?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 102300\/(-1320)*(-10)\/(-25)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6469 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 0*z**2 + 0*z**2 + 6*z**2 - 8*z**2. Let i(s) = -6*s**2. What is w(i(h))?\nAnswer: -72*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4178955 divided by -33.\nAnswer: 126635","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1232277 is divided by 140.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 39\/21 + 0 - 2. Let m = 6 - 15. Let o = m + 6. Which is the smallest value? (a) o (b) -0.1 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -2*p**4\/5 - 18494*p**3\/5 + 129556*p**2\/5 = 0?\nAnswer: -9254, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 20413659 (b) -3 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1308 is divided by 146?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -284 + 173. Let k = -110.9689 - g. What is k rounded to three dps?\nAnswer: 0.031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9516899 and 1090.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3288804 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hm when two letters picked without replacement from hhhmgqyyggyyyqymg?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -122 + -13 + -84 + 154 + -89.\nAnswer: -154","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 481126650?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 6.15, 42, 0.01 in decreasing order.\nAnswer: 42, 6.15, 0.01, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 2 - 1 = 0. Let g be -5 + (p - 0) + 3. Let d be (-2)\/(-1 - g) - -1. Put d, 0, 1 in ascending order.\nAnswer: 0, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, s: 7}. What is prob of sequence saas?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 747\/(-249)*3*-1?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 3 + 4)*(-2*z**2 - z**2 + 4*z**2) + (-2*z + 1 - 1)*(-4*z - z + 3*z).\nAnswer: 6*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2498071 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - 8*(-7)\/(-14)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11000 + 18069. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19611144 divided by -2004?\nAnswer: 9786","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**3 - 5*a**2 + 10*a - 3. What is b(4)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*x**2 + 46*x**2 - 16*x**2.\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 100.0247 + -100. Let q = j + -1.0247. Which is the smallest value? (a) -5 (b) q (c) -14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange c**2 - 16*c + 120 - 121 + 0*c**2 - 3*c**2 to d*c**2 + g*c + t and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9786 and 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/1666 and -55\/3094.\nAnswer: 21658","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 618591?\nAnswer: 3, 206197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - -1. Let z = 1 + q. Let t = -512 + 515. Solve -t*k = 2*l, z*k - 3*l = -15 - 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 5*b + 5*s - 30, 0 = -4*s. Let g(t) be the first derivative of 2\/5*t**5 + 0*t**2 + b + 0*t**4 - 6*t + 0*t**3. What is the derivative of g(f) wrt f?\nAnswer: 8*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 21*m + 5723 - 1418. What is the common denominator of 38\/13 and 10*(-7)\/(-280) - m\/(-156)?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxcvdlgdxcgl. Give prob of sequence cldd.\nAnswer: 1\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*r + 91 - 1216 = 0. Round r to the nearest 10.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 2\/5, 19\/2, -5 in ascending order.\nAnswer: -5, 2\/5, 4, 19\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2912?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4182 divided by 3.\nAnswer: -1394","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13.9 - 13.842. Let y = 0.942 + q. Put 2, -14, y, 2\/17 in increasing order.\nAnswer: -14, 2\/17, y, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**2 - 5*o - 7. Determine q(-7).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*i - 128*i + 226 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.9 (b) 3 (c) -2\/7 (d) 1300\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**13\/i)\/i)**(-25\/2) assuming i is positive.\nAnswer: i**(-275\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/2*n**3 + 32*n**2 + 40\/3 - 122\/3*n.\nAnswer: -(n - 20)*(3*n - 2)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*s - 944 + 944.\nAnswer: 5*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3122031011 - 23?\nAnswer: 3122030322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4151056.918 - 13.\nAnswer: -4151069.918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3734460400 and 508?\nAnswer: 508","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -52 + 165 + -67 + -80.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 136 - 948\/7. Sort -9, y, 5, 0.\nAnswer: -9, 0, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 13295 and 5.\nAnswer: 13295","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 92059 to the power of 1\/3, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*a - 2*a + 3*a + (-1 + 1 - 1)*(2*a - a + 0*a) + 19*a - 16*a - 9*a in the form w + m*a and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.33 + -165.67. Let d = -108 - l. Let z = 60.000027 - d. Round z to five decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2009.50631 to the nearest 10.\nAnswer: 2010","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5.1 + 0.1. Let p = 21 - 0. Let r be 6\/p - 19\/(-7). What is the biggest value in y, r, 1\/4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22\/(-16) + (-7475)\/(-5704)?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = 4*h - 33840, 9*h - 25366 = 6*h + 4*u. What are the prime factors of h?\nAnswer: 2, 4229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 2*u + 3 = -7, -16 = 4*w + 2*u. Let q = 1 - w. Suppose -5*l - q*a = -60, -l - 3*a = -16 + 4. What is the greatest common factor of 84 and l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4280 divided by -18.\nAnswer: -2140\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13 + -24. Let t be 0\/(k\/(11\/3)). Solve 3*o - 12 = -t*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q + 4*q + 130. Let o = q - -48. Calculate the greatest common factor of 2 and o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:12 PM and 7:49 AM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67*o - 24*o + 62394*o**3 - 43*o.\nAnswer: 62394*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 421303?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 54581399 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the third derivative of p**7\/210 - 17*p**6\/60 + 83*p**5\/20 - 9*p**4 + 64*p**2 + 23*p. Suppose f(u) = 0. Calculate u.\nAnswer: 0, 1, 9, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*w + 9 - 87 = -9*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 307 - 2459\/8. Let n = 1\/8 - r. Solve -1\/2*s**3 + 0*s**2 + n*s + 0 = 0 for s.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -56801\/3126 - -2\/521. Let b = 18291\/10 + -1827. Calculate the common denominator of b and n.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -298, -2, 151, 3, 0 in increasing order.\nAnswer: -298, -2, 0, 3, 151","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:37 AM and 6:04 PM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 768?\nAnswer: 3840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -17180 or -103075\/6?\nAnswer: -103075\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-135)\/25)\/(1 + (-6)\/5) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -4*x + 9. Determine g(-4).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d + 4*n - 45, -28*d - 4*n = -26*d - 18. Let w(t) = -t**2 - 16*t - 21. What is w(d)?\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 2*h = 4 + 138, -4*q + 2*h + 186 = 0. Is 22 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11695.3 rounded to the nearest one thousand?\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -88*y**2 - 9 - 22 - 22*y + 2*y**3 - 8*y - y**3 + 108*y**2. What is the tens digit of i(-21)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*o + 82 = -8*c - 7*c + 19*c, 0 = 3*c - 2*o + 40 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the second derivative of w**3\/2 - 3*w**2\/2 - 6*w - 231. Let r(c) = -135*c. Give r(z(q)).\nAnswer: -405*q + 405","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and -29108.\nAnswer: 87324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(252)\/(sqrt(4)*2))\/sqrt(9))**2.\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3559609359?\nAnswer: 3, 19, 43, 577, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*t**3 + 9627*t**2 - 196 - 6*t**3 - 9628*t**2 + 3*t**3 to the form u*t + d + p*t**3 + z*t**2 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -4*f - 10. Let y be i(-4). Let u(x) = x**3 - 6*x**2 + 3*x - 2. What are the prime factors of u(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.3, 0.5, 269?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, -2\/5, -0.01 in increasing order.\nAnswer: -2\/3, -2\/5, -0.01","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 57910 or 7321?\nAnswer: 7321","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -42789, -42787, -42783, -42777, -42769?\nAnswer: -42759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -306753\/2331448 + 555\/1343. Let a = -1\/248 - o. Put a, -6, -0.1, 1 in increasing order.\nAnswer: -6, a, -0.1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-o - 2*o + o)*(117*o + 100 - 139*o - 118) in the form f*o**2 + s + l*o and give f.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the second derivative of 7*o**3\/2 + 19*o. Let z(u) = -3*u**2. Determine z(q(w)).\nAnswer: -1323*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 126498 to the power of 1\/2, to the nearest integer?\nAnswer: 356","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1185114871 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 + (-7 - 2) - (4 - -16).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -561*f**2 + 377*f - 377*f - 2.\nAnswer: -561*f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*h*q**3 + 8*h + 101*q**4 - 146 with respect to q.\nAnswer: -9*h*q**2 + 404*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 944 and 40?\nAnswer: 4720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and -8\/927 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3723845 to the power of 1\/4, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*g**4 - 326*g**3 + 338*g**2 + 1646*g + 984 = 0. What is g?\nAnswer: -164, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) -1469 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*((1944\/(-126) - -16) + ((-2206)\/(-231) - 10)).\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -7*b**3 + b**2 - b + 1. Suppose 2*x + 0*x = -4. Let z be m(x). Calculate the highest common divisor of 7 and z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -184*w - 13685 = 408*w + 3*w for w.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 5*o + 1 - 2, 3*o + 13 = 5*v. Suppose -9 = 3*j - 4*i, -4*j + 2*j + v*i = 6. Let w(s) = -6*s - 5. Let z(g) = -5*g - 4. What is j*z(c) + 2*w(c)?\nAnswer: 3*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xf when two letters picked without replacement from {e: 2, f: 7, g: 3, x: 5}?\nAnswer: 35\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -293275778*q**3 + 545640034.\nAnswer: -879827334*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 4*c + 2*i - 18, 4*c - 12 = -2*i. Which is smaller: c or 30\/11?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 216572 and 178408?\nAnswer: 333087736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**2 + 516*y - 2084. What is o(4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 15 divided by -3182497\nAnswer: -15\/3182497","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -3 * -1957\nAnswer: 5871","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + -4 + 6 + -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -421*c - 27852 = -8065 for c.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (48 - (1 - 0)) + -3025 + 3040?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**3 + 4*v**2 - v - 3. Let o be d(3). Let x be -2 - ((-3)\/(-6))\/((-6)\/36). Which is the second smallest value? (a) o (b) 1\/2 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*f**3 - 74*f**2 - 1638*f.\nAnswer: 2*f*(f + 13)*(2*f - 63)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put together 592.8 and -5.\nAnswer: 587.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 3*l + 3. Let h(g) be the second derivative of -l*g - 1\/2*g**2 + 2\/3*g**3 + 0. Determine h(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2565 - 252. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 472, 85, -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/1*219\/(88038\/(-5829))?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x + 3. Let o(d) = -d. Determine -o(l) + y(l).\nAnswer: 2*l + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 15 = -4*q. Let f(s) = -s**3 - s**2 + 2*s + 2. Let x be f(-2). Suppose x = q*c - 7, 4*u + c = 43. Solve -5*k + 5*n = -25, 3*n + 1 = -k - u for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2.25 in 0.12, -1, -4\/9?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.05190853+2.31712\nAnswer: 2.36902853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 21326280 and 40.\nAnswer: 21326280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 228457 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 9.43 to 0 dps.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/30)\/((-3)\/2).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + 1. Let q(k) = k**3 - 11*k**2 - 2*k - 309. Let g be q(13). What is the closest to z in 1\/7, g, -0.2?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.26 and -0.65?\nAnswer: 0.169","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2259740 is divided by 4329?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 255 divide 2003531?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/1)\/(32\/16)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10 + -10. Let z be (1\/3)\/(8\/(-22)). Let n = z + 7\/6. Is n greater than or equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1787*h - 1795*h - 56 = 0 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -69 - -70. Let p(f) = -f. Let m(z) = -z**2 - z + 1. Calculate j*p(d) - m(d).\nAnswer: d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1617 and 37059.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**2 - 7*w + 764. Give s(-77).\nAnswer: -4626","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2, -3, -6, -589.02, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 108 and 37.4.\nAnswer: 4039.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 104536134?\nAnswer: 2, 3, 193, 30091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 5*l**3 - 7*l**2 + 8*l - 2. Let o(z) = z**3 + z + 1. Let i(f) = -k(f) + 4*o(f). Is i(6) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m - 32 = -3*m. Let b be -2*(-12)\/m - -17. Suppose -b = 3*s - 44. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -16 - 10. Let z(x) = -x - 13. Let b be z(d). Solve b*n - 9 = -3*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 508*l + 681 + 1784 = -10235 for l.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(95)\/(sqrt(450)\/sqrt(10)).\nAnswer: sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/((-5)\/(-2*(-4)\/(-8)))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3 - 212417254.304637\nAnswer: -212417251.304637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 18*t + 363. Calculate v(-19).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -27*g**2 + 42*g - 209. Let b(d) = -14*d**2 + 18*d - 105. What is -7*b(n) + 3*h(n)?\nAnswer: 17*n**2 + 108","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 384 - 368. What is the highest common factor of 112 and r?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1719418, 6877683, 15474792, 27510745, 42985542, 61899183, 84251668?\nAnswer: 110042997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*-0.5339.\nAnswer: 2.6695","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the first derivative of -i**4\/4 - 2*i**3\/3 + i**2 + i + 70. What is r(-2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3 and 1200.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 25438 - 25434. Let w be 3 - 12*(-2)\/(-9). Solve 1\/3*v**j - 1\/3*v**2 + 0 + 1\/3*v - w*v**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1*3)\/(345\/(-46))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 811150 is divided by 18435?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -80\/42939 > -0.83?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14 (base 9) to base 16.\nAnswer: d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**2 - s + 7. Let t be q(0). Suppose -9*x - 99 = -351. Calculate the highest common divisor of t and x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times -1.46?\nAnswer: -0.438","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.82151 to 1 decimal place.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - 2) + (420\/(-18))\/10.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2373 a factor of 267045555?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-2)*(-2)\/(-2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -104713*r**2. Let p(m) = -78*m. Determine p(g(b)).\nAnswer: 8167614*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 548 + 20 = 0. Calculate the greatest common divisor of 12 and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 500 = g, -2*c - 655 = -6*c + g. Calculate the greatest common divisor of c and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1898 is divided by 709?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the first derivative of -m**6\/600 - m**5\/150 + m**4\/120 + m**3\/15 - 7*m**2 + 3. Let a(j) be the second derivative of n(j). Solve a(k) = 0 for k.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + q - 28 = -12, 2*d + 5*q = -18. Let o be 4*(4 + d\/4). Solve -o*k = -6, f - 5*k + 20 = 3 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((0*l + 3*l - l)*(-54*l + 2*l + 20*l) + (-l - 2*l - 4*l)*(-3*l + 2*l + 3*l))*(3*l - 2*l + 0*l) as n*l + o + w*l**3 + x*l**2 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**3 - 3*t**2 + 6*t + 6. Let f be n(-4). Let q(h) = -1597*h + 9. Is q(f) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 - 0. Let x(g) = g**2 + 5*g + 2. Let l be x(b). Solve -14 = l*m - 6 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16421325?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-6) + -30*14\/63.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.5 (b) 0.24 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 <= 1\/439?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**3 - h**2 + 2*h - 4. Suppose 0 = 2*g - 5 - 1. Suppose 3*b - 38 = -z - g*z, 4*z - 28 = 2*b. Calculate the smallest common multiple of z and p(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = -s + 5*k - 7, k = -2*s + 8. Is -1 + s*((-38)\/(-6) - 2) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 12 = -4*h. Let z(i) = -9*i - 3. Let g be z(h). Let q = -17 + g. Is 4 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -163.126624 to 1 dp.\nAnswer: -163.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*z**2 + z - z + z**2 - z + z + (-1 + 2 - 3)*(-4*z**2 + 0*z**2 + 2*z**2) + 2*z**2 + z - z - 3 - 3*z**2 + 3.\nAnswer: 6*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00007292 to five decimal places.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*p - 2*p + p)*(-93*p + 94*p - 12 + 2 + 2*p**2) to y*p**3 + i + a*p**2 + l*p and give l.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18352*g - 11 = -b + 9175*g + 9178*g, -15*g - 117 = b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53932?\nAnswer: 2, 97, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24913042 is divided by 58?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -23*j*m**3 + 5644734*j + 7896*m**4 wrt m.\nAnswer: -69*j*m**2 + 31584*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.316 + -0.209. Let y = x + -0.207. Which is the closest to y? (a) -3 (b) -1 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-91)\/7 + 16)*(-470)\/(-6) is divided by 85.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(156)*1)\/(sqrt(15)\/sqrt(180)) + (sqrt(468)*-2 + -2)*3*-1.\nAnswer: 6 + 48*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 132044679?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**3 + 4*s**2 + 6*s - 1. Let v be r(5). Let o = -4.1 - -4. Let z = -0.42 + 0.12. Which is the second biggest value? (a) v (b) z (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2614910*h**2 - 4703318.\nAnswer: 5229820*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 + 12. Suppose 3*v + 2*j - 105 = 4*j, -2*j = 3*v - 93. Calculate the smallest common multiple of v and m.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2169, 2\/9, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in eleven halves of a kilogram?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -8*g - 462. Calculate w(-58).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 0 + 1)*(-4*n**2 - n**2 + 6*n**2) + (0 + n**2 + 0)*(0 + 0 + 2))*(12 - 4 + 1)*(4 + 0 - 1)*(-n + 0 + 0).\nAnswer: -108*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d = -j + 12, -3*j + 2*d + 8 = 4 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.21 - -2.61. Let z = -20235052 - -20235054.4000038. Let c = z - r. Round c to six dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, n: 2, e: 3, c: 2}. What is prob of picking 2 n and 2 e?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 203.25 - 206. Let n = -2.7499035 - h. Round n to five dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 = -16*o - 27. Let i(f) = 3*f**2 + 4*f - 1. What is i(o)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 107 is divided by 94.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*g**2 - 7 - 94*g + 84*g - 88*g + g**2 - 52*g.\nAnswer: g**2 - 150*g - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4 or -20.1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*n = -19*n - 25. Suppose -n*x = -0*o + 3*o - 48, 40 = 5*x - 5*o. Let l be (2 - (2 + 0)) + 72. Calculate the highest common factor of l and x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -95135220*z**2 + 1090500*z - 3125 = 0. What is z?\nAnswer: 25\/4362","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -626 + 612. Sort -0.02, l, -2 in descending order.\nAnswer: -0.02, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1387692 and 7?\nAnswer: 1387685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 + -2.7. Let u = i - -2.7. Let z = -3029\/76 + 159\/4. Sort -5, u, z in ascending order.\nAnswer: -5, z, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1040 + 2974 - 93 - 2*u as z + b*u and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 59813424 and 7128.\nAnswer: 2376","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(112) - (2 + (sqrt(112) + 5)**2 - sqrt(112)).\nAnswer: -139 - 32*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**3 + 7*b**2 - 7*b - 3. Determine k(6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11029 and 287?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 21128\/(-11305) - -1*2. Let i = -1\/85 - x. Calculate the common denominator of i and 16.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8437675 millennia to centuries.\nAnswer: 8.437675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 121 (b) 3 (c) 0.28 (d) 4\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 to the power of 1\/2, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, l: 1, u: 1, f: 1, h: 3}. Give prob of picking 1 h, 1 t, 1 u, and 1 f.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7*12\/(-126)*7\/((-28)\/(-12)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 - 0. Let i = 9 + t. Let g be 8\/12 + i\/3. Let j(x) = -x**3 + 2. What is j(g)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in three tenths of a millimeter?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 7}. What is prob of sequence jj?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9965, -19835, -29705?\nAnswer: -39575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f, 1 l, and 1 o when four letters picked without replacement from slsolfssofrsr.\nAnswer: 4\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/109653 at least as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1084 - 1083.483. Let u = 0.617 - t. What is the nearest to u in 0.4, -8, -0.3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3034 + 3039. Suppose -9 = z - 35. Find the second derivative of -43*m**g - z*m + 5*m + 21*m**5 wrt m.\nAnswer: -440*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 309*b**2 - 131333*b + 3394. Calculate d(425).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 + -4. Let v(u) = u**2 + 8*u. Let m be v(b). Suppose h = m, h + 18 = 5*q - 32. Is q a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y + 3 - 3)*(-19*y**2 - 20*y**2 + 7*y**2) + 2*y**3 - 2*y**3 + y**3.\nAnswer: 65*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (96\/(-80))\/((-70)\/20)*(-42)\/(-4).\nAnswer: 18\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 121\/2510 and 31\/11044.\nAnswer: 55220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17.999948 - 18. What is j rounded to four decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07 times 17?\nAnswer: 1.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1035, -2222, -3411, -4602, -5795, -6990, -8187?\n\"Answer: -c**2 - 1184*c + 150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 530 and 121142.\nAnswer: 32102630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**3 - a**2 - a - 1. Let k(l) = 4*l**3 + 14*l**2 - 2*l + 6. Let c(y) = 5*b(y) + k(y). Let m be c(8). Let n = -5 + m. Solve n*g + g = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**2 - m - 1. Let p(n) be the first derivative of -n**4\/4 + 5*n**3\/3 - 5*n**2\/2 - 3*n + 887. Determine -5*b(a) + p(a).\nAnswer: -a**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, -1732847, 0.2 in decreasing order.\nAnswer: 4, 0.2, -3, -1732847","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -1212*o - 643. What are the prime factors of n(-2)?\nAnswer: 13, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 296*f - 259 + 259 to p*f + l and give p.\nAnswer: 296","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -2, -39 in decreasing order.\nAnswer: 10, -2, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 150937.3278 milliseconds in weeks?\nAnswer: 0.0002495656875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 3*k + 11. Let m(a) = 8*a + 32. Suppose -3*r = -2*r - 4. Let o(j) = r*m(j) - 11*u(j). Let t be (-54)\/45 - 792\/(-110). Determine o(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.054 + 0.009. Let b = 3600.863 + -3591. Let s = u - b. What is s rounded to 0 dps?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 1\/20 of a micrometer?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-312)\/(-364))\/(2\/(-28)). Let f be -1*3\/18 + 670\/i. Let y(j) = 3*j**2 - 5*j - 5. Let w(u) = -32*u**2 + 56*u + 56. Give f*y(m) - 5*w(m).\nAnswer: -8*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 263383168 + -0.3\nAnswer: 263383167.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 35958?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 700, 689, 664, 619, 548, 445, 304, 119?\nAnswer: -116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13\/(728\/(-128))*(-35)\/(-10)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 95.94629 litres?\nAnswer: 95946.29","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13\/8 + -15\/8. Let f = -0.023 - -17.023. Let u = f - 13. Sort p, u, 3 in decreasing order.\nAnswer: u, 3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 27 = 3*b, b + 23 - 36 = -f. Let t(p) = -5*p - 20. Calculate t(b).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 61 - 55. Let v(s) = -s**3 + 6*s**2 - 2*s - 6. Let h be v(7). Let u be 4\/y + h\/(-18). Which is smaller: u or 5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes after 2:10 AM?\nAnswer: 2:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a**5 + 10392*a**4 + 41740*a**3 - 281168*a**2 + 395568*a - 166528 = 0. Calculate a.\nAnswer: -8, 1, 2, 2602","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 298 + -311. Let p = c + 21. Solve 6*b = 4*b - p for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 4427344?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (15*x - 3*x - 2*x)*(-80*x**2 - 6 - x + 75*x**2 + 4) as d + t*x + r*x**2 + g*x**3 and give r.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) 0.23 (c) -4 (d) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -370 * -16\nAnswer: 5920","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are 4\/41 and 12245.05 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -v + k + 92, 4*k = -2*v + 128. Let j(f) = 15*f + 105. Let l be j(3). Let t(p) = -v*p + l*p + 2 - 71*p. Calculate t(-2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4 + 238\/42)\/(5\/2102253) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 + 15*d**2 + 15*d - 9. Let j(a) = 8*a - 2. Suppose -3*s - 4 = -2*v - 0*s, 0 = 4*v + 5*s - 8. Let u be j(v). Is z(u) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2269446 - 8*i + 2268893 + 10*i.\nAnswer: 2*i - 553","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.040538092 and -6637.242.\nAnswer: -6637.282538092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*x + 4*r = 50*x + 35, 0 = r + 2 - 7 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 654?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**15*o**12)\/(o**15\/(o**(-2\/3)\/o)) assuming o is positive.\nAnswer: o**(31\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -0*x + 6. Let j(r) = -270*r - 1617. Let s be j(-6). Which is the closest to -2? (a) -4 (b) x (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -229 - -225.78. Let o = 2.5 + v. Let g = o + 0.7200082. Round g to six dps.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2140, 2142, 2144, 2146?\n\"Answer: 2*v + 2138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -2*(sqrt(5)*5 + sqrt(5))*4.\nAnswer: -48*sqrt(5) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**3 + 6*u**2 + 5*u - 4. Let t be w(-4). Let d(n) = -10*n**2 - 2 + t*n**2 - 2*n + 4. Give d(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -92311\/97 or -951?\nAnswer: -951","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 8*c + 240. Let l(n) = 1235*n. Calculate l(g(f)).\nAnswer: 9880*f + 296400","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 - (-2)\/(-14))*-7. Let h(z) = z - 2. Give h(i).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.42894967 to 4 dps.\nAnswer: -0.4289","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 881633267.\nAnswer: 547, 1611761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the second derivative of 3*f**5\/40 + 15*f**4\/8 + 7*f**3\/2 + 158*f. Factor w(b).\nAnswer: 3*b*(b + 1)*(b + 14)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 17524*s - 23 = 17526*s, -8 = b - 3*s for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 186.3 rounded to the nearest 10?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 8015280 (base 10) in base 15?\nAnswer: a84d70","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (14 + 1 - -1) + (-1 - 2)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -49462, 5, -0.5, -301?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vaaazzajv. Give prob of sequence vza.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**3 - 2*b**2 - 1. Let o be d(3). Suppose -t - 4*m + o = 0, -2*t - 2*t - 6 = -3*m. Solve -2*r + 1 + 3 = t for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 75 = b, b - z = 8 + 61. Solve 10*r + 50 = b for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**3 - t**2 + 2. Let z(g) = g**3 - 4*g**2 + 6*g - 4. Let h = 10 - 8. Let s be z(h). What is l(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 45.1 - 45. What is the closest to l in -2, 0.4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1857941691?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - (13 - 8)) + 8.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -17376 and -31.\nAnswer: 538656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -39, -86, -121, -138, -131, -94, -21?\n\"Answer: q**3 - 54*q + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k + k + 2*k)*(-108*k - 14 - 1 + 19).\nAnswer: -540*k**2 + 20*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*h**3 - h**3 + 0*h**3 + 7*h**3 + 3 to k*h + w + l*h**3 + t*h**2 and give l.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.9? (a) -0.5 (b) -1 (c) 3 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-5 - 0)*(-4 - -1). Let c = t - 11. Suppose 2*f = c*y - 8, -3*y + 3*f = -0*f. Solve -2*r + y*r = -4 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*m - 54*m + 216 = 0. Let w = 75 + m. Let s be w\/(-3)*-9 + 0. What is the greatest common factor of 6 and s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -39 - -42. Let p be (n\/(-1) + 1)*2\/(-4). What is the highest common factor of p and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 + -113432?\nAnswer: -113424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1\/7 (b) -0.2 (c) 26\/9 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 83276 * -2770.\nAnswer: -230674520","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*q - 58 = 68 + 288. Put q, -1, 152 in ascending order.\nAnswer: q, -1, 152","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13 - 9. Suppose -m - 172 = -x*k, 2*k = -2*k - 2*m + 160. Suppose 3*h = -0*h + k. Is 11 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -133*u + 81. Is 17 a factor of g(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 1.2 (b) -105 (c) 0 (d) -2\/9 (e) 140 (f) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -p**4 - 5*p**2 + 80*p**3 - 5 + 76*p**3 + 2 - 154*p**3 + p to the form x*p + m*p**2 + b + l*p**4 + c*p**3 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -f91a9 + -73?\nAnswer: -f921c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lilrzjajrjiriri. What is prob of picking 2 i?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 12107042?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -9144*z - 146309. Give o(-16).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/4*3*16\/48.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 143 and 91?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes before 8:51 PM?\nAnswer: 1:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the first derivative of -m**4\/4 - 2*m**3 - 11*m**2\/2 - 18*m - 13. What is the remainder when c(-6) is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 152\/32 + 3\/(-4). Suppose -3*j = -i*j + 51. Suppose f - j = -4*q + 10, 0 = 3*f + 9. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 1. Let m(z) = 3*z - 23. Let s(o) = m(o) + 3*r(o). Let f be s(8). Suppose f*p - 5*p + 4*b = 4, -5*p + 24 = 2*b. Sort 3, -10, p.\nAnswer: -10, 3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 16\/5 or 241\/6?\nAnswer: 16\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:40 PM and 7:19 AM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 2*n**3 + 17*n**2 + 19*n + 120. Calculate c(-9).\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/45 and 92\/75?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-752)\/1040 - (-504)\/280?\nAnswer: 14\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11001100 + -1100?\nAnswer: 11000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3844507*j**3 - 1921966*j**3 - 1922544*j**3.\nAnswer: -3*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 7485532 to the power of 1\/6, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 25981 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 3662*j**2 + j - 1. Let r be n(1). Suppose -720 + r = 5*v + 2*u, -1 = -u. Suppose 5*p + z = -85 + 1053, -3*p = -3*z - v. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/89, 3, -8 in ascending order.\nAnswer: -8, 2\/89, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-53)\/(-10) + (8515\/(-550) - 12\/(-66)) + 15. Let y be (-9)\/(0 - (1 - 0)). Suppose 3 + y = t. Solve -i*z - t = -2*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the second derivative of -g**5\/20 + g**4\/3 - g**3\/3 - g**2 + 4*g. Let c be o(2). Let m = c - 0. Solve m - 7 = a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -165 + 355. Calculate the lowest common multiple of i and 18.\nAnswer: 1710","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**3 + 7*r**2 + 4. Let p(a) = a**3 + 6*a**2 + 4. Let h(z) = -7*p(z) + 6*s(z). Differentiate h(m) with respect to m.\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48 = -103*k + 227*k - 126*k for k.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -37 - -26. Let s(r) = r**3 + 10*r**2 - 12*r - 1. What is the units digit of s(z)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3758903\/46461150 - -7\/202005. Calculate the common denominator of z and -63\/500.\nAnswer: 11500","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5828 and 868?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1049 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -11101011001011010 (base 2) to base 5\nAnswer: -12323120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 61, 34, -41, -188, -431, -794, -1301?\n\"Answer: -4*t**3 + t + 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 2 = -2*t. Let i be 1\/t + (-138)\/(-324). Is i at least 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -5*p - 23. Calculate b(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*h + 92 = 2 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, q: 1, i: 5, j: 1, p: 2, c: 2}. Give prob of picking 1 q and 2 x.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 20*u**4 + 18*u**3 + 8*u**4 - 18*u**3 - 179 + 5 wrt u?\nAnswer: 112*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 14*w + 4*w - 1 + 3 + 2. Let p(x) = -2*x - 1. Let l(k) = n(k) + 3*p(k). Let i(m) = -m**3 - 6*m**2 - 5*m + 1. Let j be i(-5). Give l(j).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**2. Let w(s) = -s. Let x(l) = -l + 1. Let b(n) = n - 2. Let i(r) = -b(r) - 2*x(r). Let p(q) = 3*i(q) + 4*w(q). Give h(p(m)).\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**2 + 4*i + 4. Let k = 1 + -2. Let q be 3\/(-1 - 1 - k). What is the units digit of o(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 8466.536 grams?\nAnswer: 8.466536","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 121*q - 8365 - 274575 - 74494. Is 14 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + 0.2. Let q = 124 + -124. What is the nearest to q in z, -5, -1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/40*-10*28\/(-6). Let o(d) = 3*d - 10. Calculate o(k).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 2*i - 14. Let a be d(9). Find the second derivative of 19*j**4 - 29*j**a + 16*j**4 - 7*j wrt j.\nAnswer: 72*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:48 AM and 10:52 AM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-65)\/520 - 82\/(-16)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**2 + 8*q + 6. Let o(f) = f**3 - 51*f**2 + 51*f - 41. Let v be o(50). Determine k(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/(-6) - (15\/(-18) + 8)\/(-1). Solve x - 13 = 4*j, 5*x + 3 = -5*j - c for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0110795716 rounded to 4 dps?\nAnswer: 0.0111","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3515 and 760.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 64934183 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 44 and 121?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.017 times 0.083\nAnswer: -0.001411","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 594*b + 6 - 13 + 7.\nAnswer: 594*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the third derivative of -3*w**7\/70 - 73*w**5\/15 - w**4\/24 - 8417*w**3\/6 - w**2 + 261*w - 4. Find the second derivative of f(k) wrt k.\nAnswer: -108*k**2 - 584","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t + 5*t. Which is smaller: t or -5\/6?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/47 in -0.2, -1\/6, -0.57?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 347.1101 tonnes?\nAnswer: 347110100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-36)*-3*2\/12*15.\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -468843869, -937687736, -1406531603, -1875375470, -2344219337?\n\"Answer: -468843867*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 779107703 to the nearest integer?\nAnswer: 920","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 24\/(-18)*(-1 + -2) + -1. Let c be ((-15)\/(-20))\/(v\/168). What is the highest common factor of c and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes after 7:42 AM?\nAnswer: 9:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2918 is divided by 161?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 47421\/10 + -4734. Calculate the common denominator of -11\/139 and n.\nAnswer: 1390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*(w*w\/(w*w**(-1\/17)))\/w*w*w)\/(w**(-3\/11)\/w))**(5\/2) assuming w is positive.\nAnswer: w**(2025\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -101, -466, -1067, -1898, -2953, -4226?\n\"Answer: f**3 - 124*f**2 + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*z - z + 0*z + 87 - 720 - 48 in the form g*z + f and give f.\nAnswer: -681","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-1))**42)**(-5\/12)*(o*o*(o*o**1*o)\/o*o)**(-4\/5)*(o**(3\/2)*o)\/o**(-1\/5) assuming o is positive.\nAnswer: o**(81\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q**2 - q**3 + 3*q**2)*(3 - 4 + 3)*(-4*q + 1 + 1 + 2).\nAnswer: 8*q**4 - 8*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -156341684.\nAnswer: -1\/39085421","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -173 - -174. Put v, 1\/9, -0.5, 11 in descending order.\nAnswer: 11, v, 1\/9, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(78) - sqrt(78))\/sqrt(6) + -2.\nAnswer: -5*sqrt(13) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*x = 3*z + 50*x - 19*x - 126, -4*x = -11*z + 462 for z.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1541\/44 + -223\/11. Let g = 31\/2 - x. Which is the second biggest value? (a) g (b) 2 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1067 or 1060?\nAnswer: 1060","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 - -3.6. Let n = -39804 - -39803.8. Which is the closest to 2? (a) n (b) y (c) 0.3 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6184351?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 3745583184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.12167 - 0.07833. What is the nearest to 1 in 84, f, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + 35 + -9 + -11?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 160 a factor of 16207906?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 3\/5, 1, -0.2, -20, 5?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 187 = -1019*d + 1002*d for d.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/3 and (-17)\/14 + (-180)\/240.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*g*t**5 + 6*g*t**3 + 29*g + 5*t wrt t.\nAnswer: 80*g*t**3 + 36*g*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -5*c**2 - 131*c - 1. Let g be w(-7). Suppose 0 = -4*m - i + 313 - 70, -4*m = -i - 245. Calculate the greatest common divisor of g and m.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 33, 67, 117, 189, 289, 423, 597, 817?\n\"Answer: q**3 + 2*q**2 + 21*q + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 434473?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**2\/7 - b\/7.\nAnswer: b*(b - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/6 - 15\/(-6). Let y(o) = o + 0*o - c*o - o. Let x(a) = 2*a - 3. Let k(d) = -3*d + 5. Let h(q) = 5*k(q) + 8*x(q). Calculate 3*h(g) + y(g).\nAnswer: g + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 213*j**5 + 85*j**2 + 2*j wrt j?\nAnswer: 12780*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17 - 19.2. Let c = j + 2.20084. Round c to 4 dps.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -417 + 511. Is o at least 95?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 18.4 + -35.1. Let p = -0.3 + c. Which is smaller: p or 0?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 22 = 494*a - 497*a, 3*r - 20 = -4*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 41644?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1743, -3987, -6237, -8493, -10755?\n\"Answer: -3*b**2 - 2235*b + 495","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 2494494 = -43*g + 996400. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -103 = -11*q - 147 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 43024075 and 14575?\nAnswer: 1325","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 217\/(-31) - -1*1. Let h be ((-3)\/z)\/(((-5)\/(-4))\/5). Suppose -4\/9 - 2\/9*u**3 + 0*u**h + 2\/3*u = 0. What is u?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 2 + 13 = -3*n, -3*n + 6 = 2*c. Suppose 3*k + n*k - 12 = 0. Suppose -k*b + 20 = -0*b. What are the prime factors of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -263 + -2 - (1 + 2). Let o = i + 387. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11 - 9. Let k(j) = -2*j + 2*j + j - 5. Let a(f) = -1. Let m(w) = l*k(w) - 14*a(w). Calculate m(4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 12 = 0, -4*o - z - 8 = z. Suppose 4*i - 2*i - 191 = 3*k, 5*i - 2*k - 494 = o. What are the prime factors of i*(1\/(-2))\/(-1)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 44, 40, 36, 32?\n\"Answer: -4*u + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**2 - y - 1. Let x(c) = -c**3 - 6*c**2 - 6*c - 5. Let m be ((-10)\/3)\/(20\/(-90)). Suppose 0*v = 3*v + 63. Let r = m + v. What is r*q(w) + x(w)?\nAnswer: -w**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 550 = 10*t - 0*t. What is the tens digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5768586 litres in millilitres?\nAnswer: 576.8586","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**2 - 1045964*x + 2091920.\nAnswer: 2*(x - 522980)*(x - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 1.16, -5\/72, 0.4, -0.5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -399 - -1178\/3. Let k = 1881266941\/39499790 + 3\/359089. Let j = k + -62\/55. Calculate the common denominator of j and b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -755250 divided by 5.\nAnswer: -151050","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 637 - 616. Let k = -3 + 3. Is k < a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 20, 5, -0.4, 547?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the first derivative of -7\/3*h**2 - 5\/6*h**4 + 4\/3*h + 2\/15*h**5 + 2*h**3 - 11. Let w(i) = 0. Calculate i.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*z + w + w - 21 + 57, -16*z + 110 = -17*z - 5*w for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 y, and 1 v when three letters picked without replacement from {n: 8, m: 2, v: 1, o: 2, d: 1, y: 1}?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1662675 and 81.\nAnswer: 44892225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 + -2253?\nAnswer: -224b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = 4*u - 3*u. Suppose -f = 2*f - 90. What is the remainder when u is divided by 2 - f\/(-1 - 1)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 2*w**3 - w**2 - 4*w - 1. Suppose 24 + 12 = -2*v. Let s be 34\/9 + (-4)\/v. Is o(s) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the first derivative of 15*h**5 + 765*h**4 + 804*h**3 + 240*h**2 + 2178. Factor c(r).\nAnswer: 3*r*(r + 40)*(5*r + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11 + 17. Suppose l*t = -4*q + 3*t + 140, -5*q + 4*t + 206 = 0. Is 22 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1258820.43 rounded to the nearest 100000?\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 21 - 3. What is the smallest common multiple of 20 and v?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16, 15, 14, 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1142340 (base 5) to base 2\nAnswer: -101010001011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 + 9. Let u = -101 + 100. Let w be u\/8 - 26\/208. Which is smaller: w or b?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 6\/24*16\/5.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 102554 - -2?\nAnswer: 103000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 2*d**2 + 7852*d + 218709. Calculate x(-28).\nAnswer: 421","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (-1*sqrt(125) - sqrt(125))**2)*1 - (-4 + sqrt(180) + 0)**2.\nAnswer: 48*sqrt(5) + 309","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**4\/6 + 2*l**3\/3 + 40*l**2\/3 - 88*l + 120.\nAnswer: -(l - 6)**2*(l - 2)*(l + 10)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes after 4:11 AM?\nAnswer: 8:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 + -214c?\nAnswer: -214c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxxxx. Give prob of sequence xxxx.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q = -109*r + 113*r - 20, -5*r = 13*q - 49 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 167 - 164. Solve -g = -b + 4, 5 = 5*b - x*g - 13 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8\/((-48)\/(-6))*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 + 8 - 72*k + 5.\nAnswer: -72*k + 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*b - 8*b - 4*b + (3*b - b - b)*(-4 + 1 - 2) in the form p*b + f and give p.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**3 - c**2 - 2*c + 94. Let i be h(0). Suppose -v + 4*y = 9*y - i, 2*v = 2*y + 200. List the prime factors of v.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - x = -1, -5*k - 3*x + 40 = -5*x. Suppose -a + k = 2. Let i(v) = -v**3 + 4*v**2 - 2*v + 1. Calculate i(a).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 4, s: 3}. Give prob of sequence ss.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -100087.3 - -100087. Let g be 4\/(-18)*3 - -1. Let i be (-2)\/3 - 21\/(-45). Which is the nearest to m? (a) 6 (b) i (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/494720 and 17\/2976?\nAnswer: 46008960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, g: 1, u: 1, r: 4, t: 8, j: 1}. Give prob of picking 1 u, 1 g, 1 j, and 1 h.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-19)\/((-418)\/231))\/((-6)\/4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 20 divided by -452\nAnswer: -5\/113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 81*d - 5301. Give w(68).\nAnswer: 207","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -233*b**4 + 426*b**3 + 414*b**2 - 83*b - 2.\nAnswer: -5592*b + 2556","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are -51836833 and -51836832 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 - -36610?\nAnswer: 36607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -85 - -88. Solve -6 = -t*k - 2*m - 0, -6 = -3*k + 2*m for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28727 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 - 44a2?\nAnswer: -44a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the second derivative of g**3\/6 + 5*g**2\/2 + g. Let p(u) = -12*u - 108. Let x be p(-5). Let d be 3 - ((-256)\/x - 2\/(-3)). Give i(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -433861, -433849, -433837, -433831, -433837, -433861, -433909?\nAnswer: -433987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 6 = -2*f, 2*m + f + 7 = -2*m. Let i = 50 - 55. Put m, 6, i in increasing order.\nAnswer: i, m, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**2 - 2*u + 4. Let y be i(4). Let j be 5\/20 + 1\/y. What is the third biggest value in -2, 0.3, j?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -3*r + 1. Suppose 13 + 23 = 36*m. Let z(j) = j. What is m*g(v) - 5*z(v)?\nAnswer: -8*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes after 9:21 PM?\nAnswer: 6:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 + 6. Suppose f = 2*w + 2*w. Let a(k) be the first derivative of -5*k**3\/3 - k**2 + k + 2. What is a(w)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28*9\/(-72)*(-1)\/7?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2540 - -2900. Is 60 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 65613?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((4 - -1) + (-8 - -6))\/3. Let a(q) = -i + 28 - q - 3 - 13. Determine a(-7).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15 (base 6) to base 8\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2866.79 minutes in milliseconds?\nAnswer: 172007400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 292052627 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in twenty-one quarters of a gram?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -5*g - 57, -4*g + 7 = -5. Let p be h\/(36\/6) + (-18)\/(-1). Let z be -1*((-44)\/p + 2\/14). Solve z*q + 1 + 2 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*d**2 - 1880*d + 1884.\nAnswer: -4*(d - 1)*(d + 471)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 3*l + 276. Let q be u(10). Suppose 4*w + 67 - 191 = 4*g, 3*w + 3*g = 111. What is the highest common divisor of q and w?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -2*z - 3. Suppose 2*t = -5*p + 34, t - 27 = -4*p - 7. Let f be 141\/t - 2\/(-8). Let v = 8 - f. What is x(v)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -36667, -36918, -37291, -37786, -38403?\n\"Answer: -61*i**2 - 68*i - 36538","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10191?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 108281981*w**2 - 363777703*w.\nAnswer: 216563962","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y + 444 - 89. What is the remainder when y is divided by (42\/(-24))\/((-244)\/48 + 5)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**3 - 3*s**2 + s + 4. Let f be j(0). Find the second derivative of p - 6*p**3 + 1 - 81*p**4 + 83*p**f + 3 wrt p.\nAnswer: 24*p**2 - 36*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u + 3*u - u)*(-56*u - 55*u + 76*u) - 3 + 3 - 2*u**2 + (-u**2 + u**2 - u**2)*(-1 - 3 + 3) - u**2 + 2*u**2 + u**2.\nAnswer: -69*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - 4*b = -9, 35*b - 32*b = 3*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1324176 divided by 565?\nAnswer: -1324176\/565","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -5016212 divided by 1254053?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -3, 1\/6, -55 in increasing order.\nAnswer: -55, -3, 1\/6, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, -5, -1\/5, -0.42, -10, 13\/5?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7\/16 + -3\/16. Let r be (9\/(-21))\/(9\/122). Let m = r + 17\/3. What is the nearest to -1\/4 in -3\/2, m, z?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 + 9. Let c(t) = -t**3 + 2*t**2 + 3*t - 3. Let i be c(d). Let x = i - -6. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3085\/8 + 390. Let m = o + -159\/40. Let h = 3 + -4. Which is the closest to m? (a) -1\/6 (b) h (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((3*sqrt(102)\/sqrt(2) + sqrt(51))\/(-6*sqrt(48)) + -1))**2.\nAnswer: sqrt(17)\/3 + 53\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -4*x**2. Let m(s) = -19 + 19 - 7*s**2 + 11*s**2. What is m(h(p))?\nAnswer: 64*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 equal to 0.067?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.0718 - -257.9282. Let s = g - 257.9. Which is the second smallest value? (a) -2 (b) 3\/4 (c) 1\/5 (d) s\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 - 6. Suppose -3*h + 88 = h. Let b = -17 + h. What is the least common multiple of b and g?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**3 - 7*n + 5. Suppose 8 = q + q, q - 9 = -b. Let i(v) = v - 1. Calculate b*i(x) + u(x).\nAnswer: -x**3 - 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -65 divided by -21.\nAnswer: 65\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**2. Let c(n) = 10*n**2 + 5*n + 5. Let q(z) = z**2 + z + 1. Let u(b) = -c(b) + 5*q(b). Give y(u(k)).\nAnswer: 25*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 - 2. Suppose -o*w - 2*u + 12 = -5*u, 3*w - 15 = 3*u. Solve w*i - 2 + 17 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 316*n + 112387 - 55024 - 1651583 = 0. What is the thousands digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -12*d**2 - 141*d + 27. Let a be g(-12). Let l = -6392\/23 + 278. What is the biggest value in -0.4, l, a?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u - 9, 0*m + 105 = 5*m - 5*u. Let k(x) = 2*x**2 - x + 2. Let l be k(1). What is the highest common factor of l and m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 17*n**2 - 203*n - 1034. Give m(-5).\nAnswer: 406","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-156)\/104 + (-4)\/(-3). What is the closest to -6 in 16, 0.9, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 383\/156 + -8\/39. Is 2 at least t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.06 - -2.94. Suppose 3 = -2*b + 11. What is the biggest value in n, 2, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 13*v = 54. Suppose 10*x = -v*x + 5863. Does 11 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 30\/(-6)) + -5*1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 12, o: 3, n: 1}. What is prob of sequence tott?\nAnswer: 33\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 5*h - 675 = 0, 8*p - 5*h - 429 = 5*p. Suppose 5*v + p = -3*y, y - 105 = 4*v - 2*y. What is v rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 323 by 5.\nAnswer: 323\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5395692845?\nAnswer: 5, 131, 8237699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**2 - 11*i + 20. Give c(8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.5, -24, -1, 7794, -2\/9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**2 + 15*v + 1. Let n(f) = f**3 - f**2 + f - 15. Let u be n(0). Let k be m(u). What is the closest to -1 in 3, -2\/5, k?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 4*v - 2 = 0, -3*s - 19 = -8*s - 4*v. Let g = -9 + s. Let j(m) = m**2 - 10*m + 20. Let l be j(7). Sort -5, g, l, 4 in increasing order.\nAnswer: -5, g, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 843010554?\nAnswer: 2, 3, 140501759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28 - 28 - 16*q.\nAnswer: -16*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 61374146 to the power of 1\/2, to the nearest integer?\nAnswer: 7834","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 19*k - 33 - 62 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the first derivative of 10*z**2 + 5*z - 3. Is i(4) a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 7, c: 2, g: 1}. What is prob of picking 3 v?\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -6*(1 + sqrt(1539))**2.\nAnswer: -9237 - 108*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9527 - -4513. Let j = 10586 - o. Round j to the nearest one thousand.\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*u + 5*v + 8, 8 + 0 = 3*u + 10*u + 5*v for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes after 1:38 PM?\nAnswer: 10:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/(-27)*-3 - 1400\/(-21). Let v = -61 + o. Which is the biggest value? (a) -2\/17 (b) v (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.3, 0.7377, -0.5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*v + 6*v - 36 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/6 - 2)*(-7 - 250\/(-40)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 131 divide 5240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**2 - 126621992*x + 2004141107256008.\nAnswer: 2*(x - 31655498)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 917 + -645. What is the hundreds digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 16*x - 311. What is the remainder when a(25) is divided by 21?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000503 to four dps.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 234132221 - -10142?\nAnswer: 234142413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a millimeter in micrometers?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**3\/(p*p*p\/(p*p\/p**(-3\/8))))**(40\/9))**31 assuming p is positive.\nAnswer: p**(2945\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2773.\nAnswer: 47, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3250 rounded to the nearest 10000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/7, -1\/1052, 1, 3.88 in descending order.\nAnswer: 3.88, 1, -1\/1052, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -30 + 30. Suppose -6*a + 2*a + 16 = -4*f, 3*a + f - 16 = l. Solve m + a*k + 1 = 0, -3 + 6 = 2*m + 5*k for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 37 = -3*k, 66 + 15 = 3*j - k. Calculate the smallest common multiple of j and 32.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 7\/6 + 1\/(-6). Let m(n) = -5*n. Let f be m(-1). Suppose -f*j + 5*l = -35, 3*l = -0*l + 3. What is the greatest common factor of j and q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 31089.247 - 31066.246951. Let o = 22.9 + 0.1. Let v = o - d. What is v rounded to five decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1.5293, 2.\nAnswer: -1.5293, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3239 - -8888. What is the hundreds digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -16*p + 62. Let g(u) = -u + 53. Let v(i) = -3*g(i) + l(i). Determine v(-9).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 2 + 5)*(0*d**2 + 0*d**2 + 4*d**2)*(26*d**2 - 107 + 107)*(-1 + 3 - 1).\nAnswer: -208*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 15) + (74 - 4 - 33)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**3 - 6*c**2 - 13*c - 6. Give h(8).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3316438748 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:36 AM and 5:51 AM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4886069 is divided by 296?\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence od when two letters picked without replacement from dicoo?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(143) + sqrt(143))*5 - (sqrt(143) - (sqrt(143) + -3*-3*sqrt(143) + sqrt(143) + sqrt(143))))\/((sqrt(110)\/(-2*sqrt(5)))\/(sqrt(22)\/sqrt(44))).\nAnswer: -sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/8 of a kilogram in grams?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 35664 - 35665. Let w = -11 - -10.77. Which is bigger: k or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1339088 and -2\/51 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -308, -296, -284, -272?\n\"Answer: 12*y - 320","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 5*m = -13, -2*a + 0*m - 5*m = 11. Solve 0 = -y + a*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 2313*c + 85816. Calculate y(-37).\nAnswer: 235","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0007146703414 rounded to seven dps?\nAnswer: -0.0007147","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-66)\/(-55))\/(6\/(-20)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i - 2*i + i)*(-4 + 4 + 2) + (4 - 3 + 0)*(-2 - 11 + 7)*(-1 - 2 + 5)*(-19*i - 2*i - 36*i).\nAnswer: 686*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -19299 smaller than -19298?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -1141238*k + 84. Let r(o) = 2282476*o - 172. Let c(m) = 3*r(m) + 5*w(m). Let i be c(-8). Round i to the nearest 100000.\nAnswer: -9100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 104 and 39?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4503*r - 4500*r + 9020*r.\nAnswer: 17*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, 4, -2\/11, -0.13?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-10)\/(-4) - 19\/38. What is the nearest to 0.1 in -2, 1\/7, s, -3?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75 is divided by 42?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 + 13. Factor 0*q**2 + q**f - 3*q**5 - 4*q**2 + 6*q**3.\nAnswer: -2*q**2*(q - 1)**2*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -153\/5, -0.2, 0, -5\/4, -1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2, -19, -27, 2611?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1024098 is divided by 490.\nAnswer: 488","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 15\/4 of a millisecond?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2924 divided by 107\nAnswer: -2924\/107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1247 - 5*j + 1247.\nAnswer: -5*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -361*t**3\/10 + 1691*t**2\/10 + 561*t\/10 + 9\/2 = 0. Calculate t.\nAnswer: -3\/19, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 13, 1\/5, -4?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 + 3 + 21\/((-840)\/(-16)). Solve -2\/5*p**4 - 16\/5 + 2\/5*p**3 + g*p**2 - 8\/5*p = 0.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1728) + 1)**2 + sqrt(3072) + 4.\nAnswer: 80*sqrt(3) + 1733","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7\/(21\/(-33)) + (63250 - -2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 455840785.\nAnswer: 5, 59, 137, 11279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -2*i**2 + 4*i + 129. What is d(9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*k**4 + 35*k**3 - 390*k**2 + 160*k + 2080.\nAnswer: 5*(k - 4)**2*(k + 2)*(k + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -14462\/65 less than -221?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5218, -5225, -5236, -5251, -5270?\nAnswer: -5293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 178 divide 229538832?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is (82583\/10)\/(306\/3060) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1308, -1306, -1304, -1302, -1300?\nAnswer: -1298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/((-125)\/30)*230\/(-8)*6\/9\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -q - 220, -432 = 2*q - k - 3*k. Let a = q + 227. Solve 11 + a = 5*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2084 and 12?\nAnswer: 6252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000797 to 5 dps.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes before 12:09 PM?\nAnswer: 6:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3439.903l?\nAnswer: 3439903","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = r - 18. Solve -r*k + 7 = -2*q - k, -5 = -5*k for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1857*v - 912*v - 4168*v.\nAnswer: -6937*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5006? (a) 2 (b) 2\/3 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 348 is divided by (3 + 7)*(9 + -8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 19853145 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 14266 divided by 17\nAnswer: 14266\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 12, r: 7}. What is prob of picking 1 v and 3 r?\nAnswer: 35\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:04 PM and 4:37 PM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -4 from -11731337.\nAnswer: -11731333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**5*d*d**(-6)*d*d*(d**(-2\/5)*d)**(-1\/8)*((d**(-1\/15)*d)\/d**12)**(-41) assuming d is positive.\nAnswer: d**(54679\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eltteeeeetleleeele. What is prob of picking 1 t and 2 l?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 7*z**3 + 4*z**2 + 28*z - 1. Let h(p) = -23*p**3 - 13*p**2 - 88*p + 3. Let o(g) = 6*h(g) + 19*j(g). Determine o(2).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the third derivative of -x**8\/672 - 2*x**7\/105 - 11*x**6\/120 - 7*x**5\/30 - 17*x**4\/48 - x**3\/3 - 23*x**2 + 2*x. Find g, given that v(g) = 0.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yv when two letters picked without replacement from yyvyvyyvvvvvyvyyyvv.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -69, -78, 24, 0 in ascending order.\nAnswer: -78, -69, -3, 0, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3078\/667 or 0.3?\nAnswer: -3078\/667","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3148 and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1060?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13218 + -6639. Is z a multiple of 129?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.7 - 0.6. Let t = 2.8 + -3. Suppose -1 = -b - d - 2*d, 12 = -2*b + d. What is the nearest to -2 in n, b, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1\/2 (b) 92 (c) 1 (d) -430 (e) 25 (f) 2\/23\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 9*u - 28. Let p(s) = s**2 + 5*s - 12. Let z be p(9). Find the third derivative of -3 - z*j**2 + 3 + 119*j**2 + u*j**4 wrt j.\nAnswer: 120*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1762, -7255, -16410, -29227, -45706?\nAnswer: -65847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/9)\/(25\/(1125\/(-20)))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -763182 by 81.\nAnswer: -9422","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that s**4\/3 + 10*s**3\/3 - 36*s**2 + 182*s\/3 - 85\/3 = 0.\nAnswer: -17, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 906*c**4 + c**3 - c - 4*c - 4 - 47*c**2 + 0*c - 904*c**4 in the form t + g*c**2 + r*c**4 + j*c**3 + w*c and give g.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -5, 0.09, 0, 1565, 0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*j**2 - 322132056*j + 6485566343924196.\nAnswer: 4*(j - 40266507)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (2 - 2) - 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*k + 19*k - 2*k + (2 - 3 - 1)*(k - 3 + 3) - 4*k + 4*k - k - 275*k - 443 + 443.\nAnswer: -268*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 152005743?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l = -j + 3, -151*j + 3*l + 16 = -147*j for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x = -19*i + 24*i + 30, 4*x = 4*i + 32 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 4, w: 1, d: 3, l: 6}. Give prob of sequence wm.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_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 remainder when 6537 is divided by 2171.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18 is divided by 18?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * 0.0033\nAnswer: -0.00132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/(1440\/100))\/((-1)\/(-4))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 7*u + 0)*(2 - 3 - 1)*(19 - 19 + 25*u).\nAnswer: 350*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 4830?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 29, 11, 4, -37, -1, 5 in ascending order.\nAnswer: -37, -1, 4, 5, 11, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 248, 967, 2168, 3851, 6016, 8663?\nAnswer: 11792","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.25 (b) 322 (c) -12 (d) -0.2 (e) 1\/3 (f) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes before 10:28 AM?\nAnswer: 12:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 4*u - 4. Let q be d(4). Let s be 94\/q + 1\/6. Suppose 8*j = 6*j + s. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 6*s**2 + 2*s + 1. Let y(k) be the third derivative of 3*k**2 + 0 - 5\/6*k**3 + 0*k + 1\/24*k**4. Let x be y(4). Determine r(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 131 + -56. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3\/7637 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 114*q + 6683*q**2 - 6680*q**2 + 169*q to t*q + b + v*q**2 and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 3 - 13 = 0. Differentiate -7*m + 0*m - x + 3*m wrt m.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p - 98616 + 98620 = 0, 5*p = -3*z + 16 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 11 = 139*y - 142*y, y + 41 = 9*p. What is the second smallest value in p, 1\/5, 2218?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-5425)\/(-930) + 1\/6. Calculate the greatest common factor of 94 and c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-130)\/(-15))\/(-13))\/(4\/12*10).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:36 PM and 1:43 AM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the first derivative of -19\/2*t**2 + 3 - t. Suppose -5 = 5*b - 0*b. Give d(b).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -778, 1 in decreasing order.\nAnswer: 1, -6, -778","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 94 and 34169?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, 3\/172, -95\/169, 0.07?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 + -43. Is f at least as big as -50?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2985 (b) -3 (c) -0.99 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/5, 0.1, 19, -26\/785?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1829 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*q = 44*q + 64. What is the remainder when 278 is divided by q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:38 PM and 7:33 AM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4209\/4 - -1041. Find the common denominator of -37\/5 and z.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wkwowkwoow. What is prob of sequence wow?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 101796 + -59819. What are the prime factors of i?\nAnswer: 13, 3229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 616210?\nAnswer: 2, 5, 7, 8803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3628 - 4374 = -1746*t - 557*t + 3513 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence syy when three letters picked without replacement from {y: 6, s: 7}?\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1\/17 (b) -33 (c) -3 (d) -5 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = 4*p + 2*p. Let k be 4*-3*p\/(-330). Put 0.3, k, -10 in descending order.\nAnswer: 0.3, k, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.12 + 1.12. What is the second smallest value in -4, m, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*w + 5 = -51*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 - -18. Let z = -15 - u. Let q = -25 - z. Which is the closest to q? (a) 2\/3 (b) 0.9 (c) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -67*p + 170 wrt p?\nAnswer: -67","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 122036 is divided by 244.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12220010 (base 3) to base 14.\nAnswer: 17cc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2 - 1 - (202 - 248)\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27 + (11 - 66) + 17.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 7) to base 14.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 556248 is divided by 32?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 6, 14, -3\/11?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3228, 3231, 3236, 3243, 3252, 3263?\nAnswer: 3276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 24*h - 1. What is the remainder when 66 is divided by c(1)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 124734143 to the power of 1\/3, to the nearest integer?\nAnswer: 500","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**2 - 1. Let f be 4\/(-3 - (-302)\/100). Let x(n) = 8 + 100*n + 4*n**2 + 100*n - f*n. Give 6*b(z) + x(z).\nAnswer: -2*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u + 1. Suppose -86 = -3*t + 19. Let p be (-4)\/(-14) - 45\/t. Let x(k) = k + 3. Suppose 5*h - 5 = 5. Give h*r(i) + p*x(i).\nAnswer: i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 4, i: 1, u: 10, m: 5}. Give prob of sequence mk.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -68.4 - -8172.\nAnswer: 8103.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -b + 3*b - 48, -4*b = 0. Suppose r = 2*r + 3*f - 13, -4*r = 5*f - 80. Let y = r - z. Calculate the greatest common factor of y and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + 13. Let g(r) = -r**3 + 15*r**2 - 17*r - 5. Let p be g(s). Let w = p + -782\/7. Which is the nearest to 0? (a) w (b) -0.3 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 225633352?\nAnswer: 2, 7, 131, 30757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6829*h + 1523?\nAnswer: 6829","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -5*s**2 - 100*s + 3. Let k(i) = 9*i**2 + 181*i - 5. Let y(w) = -6*k(w) - 11*t(w). Give y(-10).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -15024313, -15024311, -15024309, -15024307?\n\"Answer: 2*m - 15024315","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**3 - 4*c**2 + 10*c + 26. Calculate the remainder when q(6) is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the second derivative of -a**4\/12 - a**3\/3 + a**2 - 5*a. Let n(o) = o - 1. Give 2*n(d) + t(d).\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 2221.6887 minutes?\nAnswer: 37.028145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -381\/329 - -254839\/329. Let w = -771 + g. Is 3 at most w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12171096 and 15580?\nAnswer: 60855480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 0.1 (b) -0.3 (c) -74\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -2*h + 13. Let i be r(13). Which is smaller: -10 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -61974786.\nAnswer: -5\/61974786","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 65740 - 13845. List the prime factors of a.\nAnswer: 5, 97, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*j + 48*j - 14 = 0. Let o(z) = 1 - 1 + 483*z**j - 478*z**2. Let g(s) = -14*s**2. What is g(o(q))?\nAnswer: -350*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 36344040 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-5)\/(-90)*6*0. Solve z = 2*d - 3*x + 3, 2*d + 3*x = -x + 4 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1666)\/(-147) + ((-8)\/(-192))\/((45\/(-20))\/(-9))?\nAnswer: 23\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 + 2 + -2 - (8 + -10). Solve 2*b = b + 3, -6 = -3*o - t*b for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (-44 - (-28 - -9)) - -24.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 17, 22, 27?\n\"Answer: 5*k + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 - -8. Suppose f*g + 23 = 56. Let w = g - -1. Is w a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 9*n**2 + n + 1. Suppose -3*w + 17 = 2. Suppose 5*m = w + 15. Is q(m) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.19 * -0.071\nAnswer: 0.01349","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - ((4 - 3) + 6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 130431 is divided by 16302.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -294304 <= -294304?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 297689214 to the nearest integer?\nAnswer: 17254","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jf when two letters picked without replacement from {f: 6, a: 3, i: 1, j: 5}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -t + 72. Let q be 21*4*2\/t. Let o = -2 + q. Solve 2*x - o*s - 22 = -1, 2*x + 2*s = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9405939?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 6\/8*-1*19\/((-73188)\/(-96))\nAnswer: -2\/107","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2*(-6)\/14)\/(15\/10)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -676 (base 12) to base 16\nAnswer: -3ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1383 = -2*y + 1385. Let b be 10\/y*689259\/1080. Let z = b + -1\/5536. Find the common denominator of 19\/2 and z.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22283 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 135*m + 290. What is x(-5)?\nAnswer: -385","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 52c - 21d61?\nAnswer: -21835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 28 + 116 = 0. What is the highest common factor of y and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 - (6 + 36\/(-4)). Find the second derivative of -12*f + 36*f**5 - 3*f + d*f wrt f.\nAnswer: 720*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4 - -60489.\nAnswer: 60488.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6464 and 3939?\nAnswer: 252096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.240061 weeks in days?\nAnswer: 1.680427","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 120378 and 492.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -3*v + 54. Let j be m(17). Suppose 0 = -5*x + 2*s - 16, 26 - 4 = -4*x - 3*s. Let h be (-1)\/x - (-10)\/(-8). What is the closest to -0.1 in j, h, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**2 - 3*k. Let p be d(-3). Let x be (-2)\/(-4) + 33\/(-6). Let m be (x\/(-10))\/((-2)\/4). Which is greater: m or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - -857?\nAnswer: 857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.42 + -0.455. Let o = d - 0.065. Which is smaller: -7\/2 or o?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2288 a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-118 + 150)*(-2 - (-54)\/29). Is -4 bigger than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -2277*j**2 + 4568*j - 1. Calculate d(2).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 239 - 236. Let f be (26\/3 + -2)\/6. Factor 0 - 2\/9*p**2 + 16\/9*p**j - f*p**4 - 4\/9*p.\nAnswer: -2*p*(p - 1)**2*(5*p + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -43811 + 173?\nAnswer: -43627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(5\/1 + -18).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 - 4*q**3 + 3*q**3 + 2*q + 7 to o*q**2 + m + f*q + j*q**3 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 - 0. Suppose 1 = -n*m + m. Let i = -3.08 - -0.08. Are m and i nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes after 2:43 PM?\nAnswer: 12:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 43404986\nAnswer: -2\/21702493","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes after 11:42 PM?\nAnswer: 11:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve b = 3*c - 3, 2*c - 95*b = -96*b - 3 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9 - (-5 - 0)) + 2 - -6) + 16?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2980424079?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**3 + 15*x**2 + 19*x + 19. Let q be v(-14). Let m = 75 + q. What is the highest common divisor of 8 and m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, n: 1, r: 1, a: 2}. What is prob of picking 1 n and 1 a?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**3 + 66*k**2 + 78*k + 1875. Is l(-82) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 74*d - 23 - 125. Put d, 258, -5 in increasing order.\nAnswer: -5, d, 258","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4486?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-454)\/(-4540))\/(((-1)\/2)\/(-1))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 3*g = 3. Sort 5\/2, -2\/7, g, -9 in descending order.\nAnswer: 5\/2, -2\/7, g, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 5 = -m, -2*j - 3*j = 0. Suppose -52 = -m*z + 23. Let a(o) = -30*o**2 + 2*o - 2*o + z*o**2. Let b(y) = -y**2. Calculate b(a(k)).\nAnswer: -225*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -421448.644 rounded to the nearest one thousand?\nAnswer: -421000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -247 - 1 = -8*h. Suppose h = 5*x - 154. Is 3 at most as big as x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c in c**3\/5 + 1781*c**2\/5 - 120266*c\/5 - 509496\/5 = 0?\nAnswer: -1846, -4, 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2820429683 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 928*i = -982*i + 1956*i + 3404 for i.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 2 + (-2 + 0 + 3)*(2 + 0 - 9) - 3 + 2 - 1)*(3 + 0*h - 2*h - 4)*(h + 8*h - 10*h).\nAnswer: -22*h**2 - 11*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*t + 10*t - 4*t)*(-54 - 121 - 2403*t + 175) as s*t**2 + r*t + p and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - ((2 - -3) + -5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-g + 2 - 2 + (1 - 1 + 3)*(g + g - 5*g))*(1 - 1 - 2*g**2) to the form d*g**2 + w*g + v*g**3 + s and give v.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23*i**3 + 4*i + 2*i**2 + 3 - 22*i**3 + i**2 - 5*i**2 to the form y*i**3 + t + h*i + n*i**2 and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1c8764 (base 14) to base 11\nAnswer: 639019","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -110558 - -327469. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 265977 = -6*y - 74713, -227126 = 4*y + 3*a. Round y to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1, -1, 1, 5, 11?\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -504 (base 6) in base 13?\nAnswer: -112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -48*(580\/(-40))\/(-29).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10121012 - -20221112111?\nAnswer: 20210221022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -5*l + 130. Let a be n(22). Suppose 196 = -a*r + 27*r. Calculate the greatest common factor of 14 and r.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 108 - 111. Which is the third biggest value? (a) v (b) -1\/2 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (336\/(-28))\/(((-48)\/10)\/(-8))\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -90 + 808\/9. What is the nearest to 1 in 0.4, f, 1\/4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/17 (b) 2 (c) 120 (d) 0.36\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f - 1. Let u(g) = g**2 - 4. What is 6*t(y) - 2*u(y)?\nAnswer: -2*y**2 - 6*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 - (-7 - -1 - (8 - 6)) - (-8 + 10).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 2*r**2 + 1084*r - 267160. Give c(-726).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 15967 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 32 + -37. What is the smallest value in -2, h, -1\/6?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**2 - 12*n + 9. Let j be v(-6). Let i = j + -29. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from yyllnlynyll.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-25)\/(-50))\/(2\/8))\/8.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -12*t - 12*t + 43*t - 8*t - 12*t. Let w(q) = 4*q - 2. Let j be (-5)\/(15\/(-6)) - 1. Determine j*w(x) + 5*a(x).\nAnswer: -x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 16*n**2 - 150*n - 123. Determine a(10).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes before 2:20 AM?\nAnswer: 2:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -4838 (base 10) in base 13?\nAnswer: -2282","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4.2 in 5, 0, 0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.15 and 167793.\nAnswer: 167793.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2730)\/450 - (-5)\/((-15)\/(-18)).\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 315599984 divided by 402551?\nAnswer: 784","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -63*r + 6. Let u(w) = -w - 3. What is -n(h) - 2*u(h)?\nAnswer: 65*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes before 4:43 PM?\nAnswer: 7:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -288910.453 + 290233.44681. Let q = 1323 - u. What is q rounded to three dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 + 3 + 9 + 2026*a - 17)*(-a + 0 + 0) as d*a**2 + t + o*a and give d.\nAnswer: -2026","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 0)*(-48*q + 899*q + 1965*q + 249*q).\nAnswer: -6130*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-12)*-1*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -173356634*x - 37*x**3 + 173356634*x.\nAnswer: -37*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 211281?\nAnswer: 3, 7, 10061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*r**4 - 2*r + 95 + 90 - 259 + 91 + r**3 to the form z + p*r**2 + f*r**4 + v*r + o*r**3 and give z.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bub when three letters picked without replacement from nbbbbbbunbu.\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-24)\/36)\/((3*-1)\/(-18))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -20 + 39. Let r = -18.9967 + d. What is r rounded to 3 dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9754?\nAnswer: 2, 4877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3302294?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*l + 0*l - l)*(0 + 0 + 2) + 7093 - 7093 + 331*l in the form u*l + n and give u.\nAnswer: 329","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -48332564.000027 - -48332525. Let u = -39 - v. Round u to five decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in eighteen fifths of a century?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 20 or 15?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -r - 15*i + 53660, -r - 4*i = -10733. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 137759522.\nAnswer: 2, 68879761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.4 - -2.4. Sort -0.5, 4, c.\nAnswer: -0.5, c, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.008 + -1.062. Sort 1\/3, -4, g in descending order.\nAnswer: 1\/3, g, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 818563 is divided by 1331?\nAnswer: 1329","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.2582 + -0.0092. What is the third biggest value in -0.2, w, 3\/7?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 + 346*m**2 + 0 - 3807*m**2 - 4 in the form h*m + u + f*m**2 and give f.\nAnswer: -3461","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(70) + (3*(sqrt(70)*-5 + sqrt(70)) - sqrt(70) - sqrt(70)))\/(sqrt(10) - sqrt(10)*4*2)*4 + -1.\nAnswer: 3 + 52*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Do 731 and 731 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 3*m = -27, 0 = 4*z + z - 4*m - 44. Suppose -s = 3*i - 10, -s + z = i + 4*s. Solve -y - i*y - 4 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (36\/8)\/(9\/30). Let n be (g\/140)\/(45\/24). Which is greater: -1 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5780\/21 > 276?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 t when two letters picked without replacement from {i: 1, t: 2, a: 1, h: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(17) - (-3 + (sqrt(272))**2 + sqrt(17))).\nAnswer: -270","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 313 (base 12) to base 10\nAnswer: 447","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x = a - 23 + 3, 4 = -x + 2*a for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 60*c + 114. Calculate y(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -411\/47486?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34386683 is divided by 3533?\nAnswer: 3527","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 292 divided by -4\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1634*a**5 + 4*a**4 - 4*a**2 + 31*a - 96?\nAnswer: -32680*a**3 + 48*a**2 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4908152.\nAnswer: 2, 67, 9157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.2, -1582, 0.4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 517 - 505. Let x(m) = m**2 - 13*m + 15. Give x(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 + 6 = -3*t + 5*a, a - 15 = -4*t. Calculate the least common multiple of t and 158.\nAnswer: 790","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1622 + 3149. Suppose 0 = 5*d - 4*n - 3852, 2*d + 12*n - 9*n = p. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -0*h - 10, -w = 2*h - 43. Suppose 5*k + 4*z - 434 = 0, 4*k - 377 + w = -4*z. Suppose -4*q = -k + 38. What are the prime factors of q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 5*p + 34, -8*p - 52 = -3*g - 3*p. Let o be 75*(-1 - (-12)\/g). Suppose 23*y - o*y + 454 = 0. What are the prime factors of y?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 356663 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4089198?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -92019, -90051, -84725, -74367, -57303, -31859, 3639, 50865?\n\"Answer: 279*x**3 + 5*x**2 - 92303","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(84)\/sqrt(3)*5 + -1*sqrt(28)*-4 + 0.\nAnswer: 18*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -6*r - 1. Suppose 0 = 5*j - a + 29, 16 = -3*j - 0*j + 2*a. Let s be 9\/(-6)*(-4)\/j. Let c be y(s). Solve -3*m = -5*w + 29, c*m = -3*w - 3 - 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f + 6*f - 64. Let a(n) = -6*n + 5. Calculate the remainder when a(-7) is divided by f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(175) - (sqrt(175) + -5 + sqrt(175) + 0) - sqrt(175))**2 + -1 + 1 + sqrt(175) + sqrt(175).\nAnswer: -90*sqrt(7) + 725","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 96\/480 - -2*(-6)\/(-40)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 14*y - 17*y. Suppose 0*h + 2*h + y*z = 114, 3*h - 3*z - 216 = 0. Let x = -38 + h. What are the prime factors of x?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -6*f - 14. Let l be q(-4). Suppose -l*d = -129 - 21. Is d at least as big as 15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 19, 3, 5, -121 in ascending order.\nAnswer: -121, -1, 3, 5, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1164912668.\nAnswer: 2, 31, 179, 1693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 205.5028 + 0.1972. Round x to the nearest 10.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.8 + 1. Let r = -0.03 + -0.27. What is the nearest to -0.1 in r, -5, g?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(242)*-5*4)**2*-1.\nAnswer: -871200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 278200882 divided by 62\nAnswer: 4487111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 112254023?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (14\/(-8) + 1)\/(12\/(-48)). Suppose o*q - 2*q = 3. Suppose -2*k + 9 = -v, 13 = q*k - 3*v - 5. Solve -2*p = -k*p + 5 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-4)\/(-5))\/(7 - 3846\/550). Let m = 221\/2 - s. Suppose -3\/2*v**2 + 2*v**3 + 2 - 2*v - m*v**4 = 0. What is v?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 485464 is divided by 17?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-12))\/(-1 - 5\/(-6)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -91, -66, -1, 122, 321, 614, 1019, 1554?\nAnswer: 2237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4\/3)\/2*-69. Let l(r) = -2*r**2 + 72*r + 24. Let m be l(37). Let a = c - m. Solve f - 18 = -a*k, -2*k + f - 6*f + 18 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64 + 244 = 6*n. Suppose -4*v + 2 + n = 0. Suppose g + 203 = v*g. Calculate the common denominator of -52\/3 and g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 101, -1\/7, 1, -1\/1026 in decreasing order.\nAnswer: 101, 1, -1\/1026, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -429 = 19*i - 22*i. What is the greatest common factor of i and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-63)\/18)\/((-19)\/(-76))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*a + 8 = -52*a - 5*n, 5*n + 10 = 5*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1180226 divided by -74.\nAnswer: -15949","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1358.\nAnswer: 2, 7, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*n = 6*n - 6 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1115090 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 q(g) = -g**3 + 11*g**2 + 13*g + 10. Suppose 0 = -2*v + v + 64. Calculate the remainder when v is divided by q(12).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 881333442?\nAnswer: 2, 3, 11, 4451179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*j + j - 2*j)*(-15*j**2 + 30*j**2 + 52*j**2 + 3*j**2) to d*j**3 + c + a*j + z*j**2 and give d.\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1.47, -5, 3\/5, -2\/9 in descending order.\nAnswer: 1.47, 3\/5, -2\/9, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30 and 16062.\nAnswer: 80310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3048211 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 + 1. Suppose a = -2*u + 5. What is the derivative of -1 + 14*p - 3*p**u - 14*p wrt p?\nAnswer: -6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*c = -5 - 7. List the prime factors of (47 - (-2 - c))*(-8)\/(-4).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68) - -6*(sqrt(68)*2 - sqrt(68)) - sqrt(68) - (sqrt(68) - -2*((sqrt(68) - -1*sqrt(68)) + sqrt(68))))\/(-3*sqrt(20)\/(sqrt(5) - sqrt(5)*-1)).\nAnswer: 2*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1070 - 800. Is x a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/108*-9*(-4)\/((-224)\/2)?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 480 and 183072.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7 and 10088.\nAnswer: 70616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, 119, 1\/2, -1, 1\/4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 174*v**5*y - 150*v**3*y - 2*v**2 - 3*v*y - 5*v + 1207*y + 3 wrt v.\nAnswer: 3480*v**3*y - 900*v*y - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -59, -2, -6, -4, 67, -13 in increasing order.\nAnswer: -59, -13, -6, -4, -2, 4, 67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*-6*(-2*(sqrt(208) + 2*sqrt(208)*5 + 4 - 4*(sqrt(208) - -1*(sqrt(208) + -1))))**2.\nAnswer: -185856 - 18432*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 258 and 2535280.\nAnswer: 7605840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2336553?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -12*h**2 - 98620*h + 65752 = 0.\nAnswer: -8219, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -32, -79, -168, -305, -496, -747?\n\"Answer: -k**3 - 15*k**2 + 5*k - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*n + 12, 3*c + 7*n = 5*n for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyzw. What is prob of picking 2 y and 1 z?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 20*x - 22. Let q be 8 + -6 + (14 - 1). Suppose 17*c = q*c + 20. What is the hundreds digit of o(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(6\/(-4)))\/(-143 - -156).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 5, 0, -6, -19 in ascending order.\nAnswer: -19, -6, 0, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27, -22, -4, -1, -1524.\nAnswer: -1524, -22, -4, -1, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 652071828.\nAnswer: 2, 3, 1571, 34589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*a = 13*a + 11*a + 30 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 3\/5, 0.4, 1\/2, 19, -45?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2114, 1423, 278, -1315, -3350?\nAnswer: -5821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*s**3 - 7 + 7.\nAnswer: -2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.14 - 0.1. Let v = 4.96 + m. Suppose 0 = -2*u - u - 4*w - 22, -3*u - 26 = 5*w. Which is the nearest to -1? (a) u (b) v (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 15 = -f. Calculate the lowest common multiple of f and 1159\/183 - ((-1)\/(-3) - 1).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 92 is divided by 42?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.158 rounded to zero decimal places?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2139390099 and 154?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-104)\/(-39)*3\/12.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:42 PM and 3:32 AM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*r = -122 + 10. What is the greatest common factor of r and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the second derivative of 5*m**5\/4 + 155*m**4\/12 + 5*m**3 - 41*m. Factor k(f).\nAnswer: 5*f*(f + 6)*(5*f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1771522.\nAnswer: 2, 19, 46619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 6, x: 5, g: 3, j: 1, s: 4, n: 1}. Give prob of sequence gxn.\nAnswer: 1\/456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a kilogram in milligrams?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23 (base 8) to base 9.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -5, 6, 1, -0.3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 10\/((28\/(-60))\/7). Let w be s\/((-2)\/((-8)\/(-3))). Suppose -2*f - 5*o + 194 = 2*f, w = 4*f + 2*o. Is f a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vg when two letters picked without replacement from hvgggvv?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 14) in base 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 39*b + 61100 - 61490 for b.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 24.6 - 21. Let q = 0.4 + n. Let t = 5.44 - 0.44. Put -4, t, q in ascending order.\nAnswer: -4, q, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d**2 - 3*d**2 + 2*d**2)*(0 + 24457*d + 0 - 22861*d).\nAnswer: 1596*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:13 PM and 4:19 PM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.7 and -131308.\nAnswer: 91915.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 70*q**3 - q + 69*q**3 - q**2 - 50*q**3 - 88*q**3 + 59*q**4 to the form i*q**4 + o*q + l*q**2 + p + u*q**3 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m**4 + 0*m**4 - 3*m**4)*(-345 + 33*m + 345) - m**5 - 6*m**5 + 4*m**5.\nAnswer: -102*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/7 in -2, 25, 11\/4, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g + 130 - 125 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/40 and 63\/50?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-854)\/280 + (2 - (-6)\/(-4)) and 77\/18.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 33864606?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*f - 60 - 87 = -71 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3363 and 91447?\nAnswer: 16186119","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 4*z**2 - 8*z - 8. Let n(r) = r + 1. Suppose 24*l - 108 = 26*l. Let g = 55 + l. Give g*b(c) + 8*n(c).\nAnswer: 4*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -48364 divided by 5?\nAnswer: -48364\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 43584139 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.15042571 times -0.2\nAnswer: -0.030085142","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 188, 181, 164, 131, 76, -7, -124, -281?\n\"Answer: -f**3 + f**2 - 3*f + 191","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 3*g = -4*m + 10, -5*m = -g - 6. Solve 3 = m*o + 1 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7)\/14)\/((-65)\/(-10) + -5)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 345*o - 72*o - 9825 = -120*o for o.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.11052291 + 0.04.\nAnswer: 0.15052291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -5, -269, 0, 1801, 3 in ascending order.\nAnswer: -269, -5, -3, 0, 3, 1801","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32924 is divided by 1828?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes after 7:36 PM?\nAnswer: 7:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7\/3? (a) -1 (b) -0.1 (c) -3 (d) -25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (31 - 1)\/(9\/(-12) - 105\/(-28)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4262149 by -4262149.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + u - 5*u + 8 = 0, 4*n - 2*u = -4. Suppose -m = l - 32, n = m - 4*m + 5*l + 128. What is the least common multiple of m and 54?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 856*u**3 + 98*u + 2555413?\nAnswer: 2568*u**2 + 98","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -643 + 434. Let r = 625 + j. Is r a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qapqppvaaqqq. Give prob of picking 1 v and 1 p.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 1. Let o(y) = 5*y + 9. Calculate 6*b(c) - o(c).\nAnswer: -5*c - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 5*f - 58. What are the prime factors of j(31)?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*f - 14*f + 53*f - 10*f.\nAnswer: 5*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 19*d**2 + d + 5*d - 39*d**2 + 16*d**3.\nAnswer: 2*d*(2*d - 1)*(4*d - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 divided by -485788\nAnswer: 7\/485788","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 23814?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes after 9:33 PM?\nAnswer: 1:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:36 PM and 7:53 AM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**2 - 6*k + 8. Let n be j(7). Let w be ((-36)\/n)\/(4\/(-10)). Let b be ((-12)\/8)\/(w\/(-8)). Sort -2, b, 4 in ascending order.\nAnswer: -2, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(196)\/sqrt(4))\/sqrt(7) - -6*((sqrt(252)*-1 + sqrt(252))**2 + sqrt(252)).\nAnswer: 42*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45 = -139*t + 52*t - 129 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 11 + -2252?\nAnswer: -2241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2686 and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(1*sqrt(162)*-4 - 3*2*sqrt(162))\/(-4*sqrt(12)\/sqrt(2) - sqrt(600)*2).\nAnswer: 5*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:33 AM and 9:00 AM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -146 - -145. Is t bigger than 2\/103?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:32 AM and 6:41 AM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 108 + -54. Let n = -54.00000016 + h. What is n rounded to six decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 2*i**3 - 34*i**2 + 662. Determine x(17).\nAnswer: 662","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62410279?\nAnswer: 62410279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1038362833?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/(-24) - 14\/8. Let y be r\/(-8)*(-6 - -5). Which is the nearest to 2? (a) -1\/3 (b) -1\/2 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (m - 8*m + m)*(-4 + 7 - 4) + 0*m - m + 3*m to the form u + q*m and give q.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33 - 27 = -s for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 22 - 12. Let k = -6 + a. Let q(b) = b - 3. Let d be q(k). Let l(f) = 7*f**2 + 2*f - 1. Calculate l(d).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 4*i**2 + i + 1. What is the remainder when 42 is divided by h(-2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 2532*o - 15. Let p be g(2). Suppose -2*n = 1901 - p. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2099.517 + -3.017. What is q rounded to the nearest one hundred?\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -202 - -4240?\nAnswer: 4033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.012031713 - 11935.\nAnswer: -11935.012031713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -307 - 3910*d + 1950*d + 711*d**4 + 1960*d wrt d.\nAnswer: 2844*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -12\/340189?\nAnswer: -12\/340189","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*f = 5*z - 17*f - 15, -z + 3*f = 14. Suppose -4*h - 10 = c, 2*h - 3*h - 2*c = -z. Let b(y) = y**2 + 2*y - 2. Determine b(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9830, 9835, 9840, 9845?\nAnswer: 9850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.5 + -1. Let w = -33 + 33. What is the nearest to -0.2 in w, a, -3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 2*g**2 + 10. Let m(d) = -32*d**2 - 13*d. Let p(x) = -15*x**2 - 6*x. Let r(q) = -6*m(q) + 13*p(q). Give r(l(y)).\nAnswer: -12*y**4 - 120*y**2 - 300","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a hour in seconds?\nAnswer: 1080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8924?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 354244 (base 6) in base 7?\nAnswer: 155500","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b - b + 4*b)*(14 + 17 - 11).\nAnswer: 20*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 - -1)*5*-1. Let v(m) = -3*m**3 - 3*m**2 + 5*m + 13. Let l be v(-2). Calculate the greatest common factor of n and l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3.5 - -5.5. Let x = 2537 - 2533. What is the closest to -3\/8 in x, u, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 93 = -3*z, -4*z = -3*i + 44 + 3. Let a(p) = -i + 21 - 2*p. Let f(k) = -7*k. What is f(a(w))?\nAnswer: 14*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes after 3:51 PM?\nAnswer: 10:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2016 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2373)\/(-14238)*6\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 7.1*-31.7\nAnswer: -225.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, k: 1, w: 2, c: 1}. What is prob of picking 1 k, 1 n, and 2 w?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**3 + 117*o**2 - 612*o - 243. Let w be j(-122). Let f(k) = 30*k**2 - 1. Let p(x) = x**2 + 1. Give w*p(r) + f(r).\nAnswer: 31*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k - 4*k + 5. Sort 4, -3, k in descending order.\nAnswer: 4, k, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 39149?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -19*a - 8. List the prime factors of f(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 101277 and 372.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 330 - 329.813. What is i rounded to 1 decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/1471333 and 97\/395115.\nAnswer: 154489965","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -26*g**2 - 9*g**3 - 15 + 26*g**2 + 1 wrt g?\nAnswer: -27*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3471 + -3?\nAnswer: 3466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -41, -58, -17, 112, 359?\n\"Answer: 5*i**3 - i**2 - 49*i + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 76.97 * -675\nAnswer: -51954.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (5\/(-15))\/(3\/18). What is the tens digit of 476\/8 + (-1)\/u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -200 (base 4) to base 16.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2)\/(-5))\/(2\/10). Suppose 14 = 3*l + 4*s - 24, 2*s = l + 4. Solve -l = 4*u - j for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**3 - 2258*v**2 - 5257*v + 3. Let a(z) = 2*z**3 - 4515*z**2 - 10513*z + 7. Let q(j) = -3*a(j) + 7*x(j). Find the second derivative of q(s) wrt s.\nAnswer: 6*s - 4522","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**3 - 16*v**2 - 9*v - 13. What is the units digit of i(17)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 36740 - 16720 = -76116. What is the ten thousands digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -7*o - 8*o + 13*o - 4*o. Let r(g) = -7*g. Calculate k(r(w)).\nAnswer: 42*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*n - 4*n + 36. Suppose -i + 0 - n = -3*p, -5*i = -3*p - 3. Solve p = -t - 0*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5687 divided by 1\nAnswer: -5687","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*g + 5*g - 4*g)*(-g - 4*g + 3*g) + (-4*g + 0*g + 3*g)*(-g - 2 + 2) to n*g + v*g**2 + y and give v.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -0.3, 3\/52, 3, 0.033.\nAnswer: -0.3, -0.2, 0.033, 3\/52, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the second derivative of v**5\/80 - v**3\/24 - 3*v. Solve y(z) = 0 for z.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*t**3 - 55*t + 17*t + 38*t - 2*t**3.\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1003899713?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-5)\/r**(1\/13))\/(r**(-1)\/(r\/(r*r\/(r\/(r*r**6)))))*(((r**8\/r)\/r*r*r)\/r**(-7))**25 assuming r is positive.\nAnswer: r**(4731\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 2*q**2 - 3*q**2 - 3 + 10*q + 6 - 14. Determine m(9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**0)**(-1\/11))**(-8)*((p*p*p**1)\/p**(-1\/3))\/((p\/(p\/(p**(-2\/17)*p)*p))\/(p*p\/p**2*p)) assuming p is positive.\nAnswer: p**(227\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 171523 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 12386, 98994, 334054, 791792, 1546434, 2672206, 4243334, 6334044?\n\"Answer: 12371*z**3 + 11*z + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-41)\/18204*-37)\/(-1*(-1)\/(-10))?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*0.084.\nAnswer: 0.084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -6*m**3 - 58*m**2 + 21*m + 42. Calculate the remainder when 3037 is divided by y(-10).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90 = -3*u + 3*b, 3*u - 66 = -0*b - 5*b. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -98 - -488\/5. Which is the nearest to -1? (a) h (b) -3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l + 5. Let g be h(10). Let p(w) = w**3 + 4*w**2 - 6*w + 3. What is the least common multiple of 10 and p(g)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ma when two letters picked without replacement from advqvvavm.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 19, 33, 7, 14, -4, -5 in ascending order.\nAnswer: -5, -4, -2, 7, 14, 19, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 192 - 174. Suppose 18 + m = 4*h. Solve 4 = h*j - 8*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the second derivative of d**4\/12 + 4*d**3\/3 + 2*d**2 - 6*d + 5. Give i(-8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 83 - -6808673?\nAnswer: 6808766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**3 - 11*z**2 - 16*z - 30. Is u(-10) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes before 10:01 AM?\nAnswer: 4:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 25095863?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7369*x**3 + 6*x**2 + 14779*x**3 - 6*x**2 - 7404*x**3.\nAnswer: 6*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 857 + -5?\nAnswer: 852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 323 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the first derivative of 2*q**2 - 7. Let w(c) = 5*c**2. Calculate l(w(m)).\nAnswer: 20*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8608601 is divided by 277.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5766564 + -20134564. What is h rounded to the nearest one million?\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 52946\nAnswer: 52948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41*q**2 + 44*q**2 + 70*q**2.\nAnswer: 155*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2402?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -193376, -1546990, -5221080, -12375884, -24171640?\nAnswer: -41768586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 94 = -3*x, 2*x + 2 = 8. Let f = 27 + k. Let v(w) = w**3 - 9*w**2 - 9*w - 3. Calculate the remainder when 26 is divided by v(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + 4 + 4 + (sqrt(13) - (sqrt(13) + 3*sqrt(13)))*-3 + 0)**2 + -1)*6.\nAnswer: 864*sqrt(13) + 6696","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1170 and -0.7?\nAnswer: 1170.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 84, 178, 272, 366?\nAnswer: 460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 22867437247 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**3 + 7*j**2 + 3*j - 31. Calculate i(-6).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the first derivative of -1\/3*k**3 - 40*k - 194 + 41\/2*k**2. Factor f(b).\nAnswer: -(b - 40)*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -135*h. Let o(n) = -151*n**2 + 2*n. Determine a(o(z)).\nAnswer: 20385*z**2 - 270*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(sqrt(102) + 1*sqrt(102) + sqrt(102) - sqrt(102)) - sqrt(102))\/sqrt(6) + 0 + (sqrt(17) + 2 + -5 - sqrt(119)\/(sqrt(35)\/sqrt(5))))**2 + 4.\nAnswer: -18*sqrt(17) + 166","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2)*(-6*c - 18 + 18 - 2*c - 2*c + 3*c + (2*c - 2*c + 2*c)*(-3 + 3 + 1) + 3*c + 4*c - 4*c + 2*c - 2*c + c).\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 652, 655, 660, 667?\nAnswer: 676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 2*t**3 - 14*t**2 + 5*t + 4. Is c(9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*t**3 - 86862*t + 86862*t - 374.\nAnswer: -2*t**3 - 374","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 112*g - 44*g - 47*g - 36*g.\nAnswer: -15*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 20 - (658\/(-141))\/(6\/(-9)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 336\/54*5436\/1057.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44358.\nAnswer: 2, 3, 7393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10525 + 9089 = 21*x. Does 3 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p - 1 - 3. Let q be (-5)\/5 + p\/1. Let a = -2 + q. Which is smaller: -5\/6 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -29\/8 or -5?\nAnswer: -29\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:00 AM and 2:49 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes before 8:58 AM?\nAnswer: 4:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*y - 3*y - 78 - 251)*(2*y**2 - 2 - 5 + 5) to k*y**2 + d*y**3 + m + j*y and give k.\nAnswer: -658","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 6, -3*n + 3*g = 2*g - 57. Suppose -2*i + 6*i - 4*l - 20 = 0, -4*i = 2*l - n. Which is the biggest value? (a) 0 (b) -1 (c) i (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tpt when three letters picked without replacement from ttpttutarturttutuu?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3854, -3846, -3826, -3788, -3726, -3634?\nAnswer: -3506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4 + -4)\/(4 + -3). Let l be (2 - (-36)\/r)*-2. Suppose -l*x = -x. Solve 4*c + c - 15 = x for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 866746 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 33*u = 38*u + 11, 0 = 5*i + 4*u + 13. Let j be 1\/(250\/120 + i*2). Solve -3*w = w + j for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*x = 610*u - 609*u - 45, -5*u + 65 = 3*x for u.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76 is divided by 46.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 595108432.\nAnswer: 2, 1637, 22721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 213 - 437 = 0. Let z = n - 47. Is 43 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.024713557 to four dps.\nAnswer: 0.0247","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3973517390 to the nearest integer?\nAnswer: 63036","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*p + 347 - 243. Calculate the greatest common divisor of p and 949.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.04322m to centimeters.\nAnswer: 604.322","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -73421, -147943, -222465?\nAnswer: -296987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -57\/25 and -27\/46090?\nAnswer: 230450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**2 + j - 5. Let y be (-3)\/((-6)\/(-40))*48\/15. Let i = y + 64. Calculate x(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 - 2. Suppose 0 = u - 4*m + 3, 0 = 3*u - 4*m - 7. Let o = s + u. Solve c + 4*c - 3*b - 23 = 0, -o*b + 14 = 4*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -58\/1102533 and -44\/62109359?\nAnswer: 186328077","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/12 and (2 - 1)*2074\/476?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 82 and 2211084408?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.970581us in nanoseconds?\nAnswer: 2970.581","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes after 4:31 AM?\nAnswer: 11:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 177 divide 28528?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 470?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100*h + 105*h = 15. Let j be (-10 + h + -1)\/(-3 + 2). Solve 2*f = 4*f + j for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**2 - 10*y - 471. Determine c(-22).\nAnswer: 233","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -147 + 145. Let f(q) = 2 + 0 - 5 + 4. Let h(l) = -l - 7. Let a(c) = -6*f(c) - h(c). What is a(x)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 396652*o**4 + 1299239 wrt o.\nAnswer: 1586608*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 5, b: 4, j: 1, u: 1, p: 1}. Give prob of sequence pbp.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10? (a) 4\/3 (b) -4\/5 (c) 171 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3398 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 1367 = -1360 + 2737 for m.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 621 a factor of 41130072?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -612381.306 rounded to the nearest 10000?\nAnswer: -610000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 56981 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is g in g**5\/6 + 849*g**4 - 2570*g**3\/3 - 38181*g**2 + 320913*g\/2 - 183420 = 0?\nAnswer: -5095, -8, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -7, -433, -1\/27, 0.1?\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -153*q**3 - 6*q**2 + 473*q + 470. What is y(-1)?\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -6, -9, 1\/92, 0 in increasing order.\nAnswer: -9, -6, -5, 0, 1\/92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 364 - 2?\nAnswer: 362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from vevvrerreeeeeree?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -3*v**3 + 11*v**2 - 23*v + 42. Let n(j) = -10*j**3 + 33*j**2 - 68*j + 117. Let c(l) = 2*n(l) - 7*u(l). Calculate c(9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*j**4 - 2*j**4 + 6*j**4 + (j**2 + j**2 + 0*j**2)*(-2*j**2 + 0*j**2 - j**2) - 3*j**4 + 3*j**3 - 3*j**3.\nAnswer: -8*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -h**4\/5 + 427936*h**3\/5 + 5991331*h**2\/5 - 13266466*h\/5 + 1369440 = 0.\nAnswer: -16, 1, 427950","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 18623, 18613, 18583, 18521, 18415, 18253, 18023, 17713?\n\"Answer: -2*y**3 + 2*y**2 - 2*y + 18625","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:27 AM and 3:15 AM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -5715*a + 165727. What is j(29)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 2 = 2*j - 5*i, 13 = -2*j - i. Is j greater than or equal to 0.6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the third derivative of -y**7\/210 - y**6\/20 + 9*y**5\/20 - 18*y**2 + 37. Factor k(b).\nAnswer: -b**2*(b - 3)*(b + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4342681 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 5 = 3. Let u = -2\/1350165 - 19802414\/4050495. Which is smaller: u or a?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 5) to base 2\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j - 547 = -82*z - 593, -4*j = 4*z + 52 for j.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**3 - 49*z**2 - 251*z + 47. Determine u(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 2*s**2 - 3. Let l(f) = -1. Let z(d) = -c(d) + 3*l(d). Let j(u) = -u**3 - 2*u**2 + u + 2. Let i be j(-2). Let p(x) = x + i*x + 0*x. Calculate p(z(t)).\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -45218000 rounded to the nearest 100000?\nAnswer: -45200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10759496?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -17*w**3 - 4*w**2 + 63*w + 276. What are the prime factors of j(-8)?\nAnswer: 2, 3, 5, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*u - 5*u + 15*u.\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 912 - 882. Suppose -152*t + 148*t + 20 = 0. Sort t, l, -5 in descending order.\nAnswer: l, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 + 20 + (0 - -1). Is m\/8*590\/5 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**3\/2 + 845913*f**2 - 715575570825*f\/2 + 2862248145124.\nAnswer: -(f - 845909)**2*(f - 8)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13047179.\nAnswer: 97, 134507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*f - 11*f - 7 = -359. Solve -f*y = 12 - 78 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - t + 6 = 0. Suppose t*u - 23 = 5*r, 4*u + 2*r + 3*r = 19. What is the remainder when 21 is divided by u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 522039698 a multiple of 89?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 + 5 - 4*y - 13.\nAnswer: -4*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 517974868 to the power of 1\/2, to the nearest integer?\nAnswer: 22759","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1572 + 7908\/5. Which is smaller: 1 or r?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 31480?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.177658 rounded to two dps?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 21.1 (b) 1 (c) -1\/2 (d) -2 (e) 0 (f) 2.1 (g) -23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2439 * 0.4.\nAnswer: -0.09756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*k**3 + 0*k + 0*k + (k**2 - 3*k**2 - 3*k**2)*(-3 + 2*k + 3).\nAnswer: -12*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -2*p**2 + p - 8. Let s be b(4). Let x = 43 + s. What is the greatest common factor of 56 and x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 646427 and 259?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8441829 or 8441844?\nAnswer: 8441829","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 27996 + -420034\/15. What is the common denominator of -94\/3015 and l?\nAnswer: 3015","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*t**2 + 0*t**2 + 26*t**2.\nAnswer: 24*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -2380a60 (base 11) in base 3?\nAnswer: -21210120102122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 358 = 2*a + 2*r, 14*a - 10*a = r + 711. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26 - -7 - 16 - 7?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -4*j - 15. Let a(q) = -2*q - 9. Let o(k) = -5*a(k) + 3*v(k). Let t(r) be the third derivative of -r**5\/60 - 7*r**3\/6 - 115*r**2. What is t(o(l))?\nAnswer: -4*l**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 9, d: 2, e: 6}. Give prob of sequence eddi.\nAnswer: 9\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 - -111011010100?\nAnswer: 111011001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -168\/569 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-10))\/(9 - (2 - -6)).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -25041 + 25042. Let w = 0.26 - 15.26. Is u less than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = 4, v - 3*x + 5*x = -3. Let h = -3 + v. Let s(b) = -b**3 - 2*b**2 + 4*b - 2. Is s(h) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes before 10:45 AM?\nAnswer: 9:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -887, -1832, -2783, -3740?\n\"Answer: -3*a**2 - 936*a + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 18 divided by -12\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -42 - -21. Let x be ((-6)\/q)\/(8\/28). Let u(t) = 4*t**3 + t**2 - 2*t + 1. Calculate u(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4662248 times -1.4?\nAnswer: 6527147.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -7*u + 3531. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 - 2*d + 3 + 1 - 14.\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21\/((-189)\/(-57)) - 8?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -425 - -428. What is the second biggest value in 2\/13, -3, c?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -5*w + 3. Let p be m(0). Suppose -g + 3*j - 41 = 0, 4*j - p*j + 151 = -4*g. Is (625 + g)*(-2)\/(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 - 2*t + 6*t)*(-4*t + 6*t - t).\nAnswer: 4*t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 39165 equal to 11240781\/287?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -12*s**3 - 4*s**2. Suppose 2*w = -8, 6*w - 3*w = 4*r. Let u(a) = -12*a**3 - 3*a**2. Determine r*u(x) + 2*f(x).\nAnswer: 12*x**3 + x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -2*j**2 + 33*j - 4. Let a be -2*(-4 - 1 - -4) + 3. Suppose 0 = -a*n - 4*b + 58, 0 = 4*n + 3*b - b - 44. Does 18 divide s(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 10*f**2 + 1. Determine b(-2).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1336 = -x + 1466. Let l be (-11 + 790\/50)\/(3\/x). What is the highest common factor of 260 and l?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lb when two letters picked without replacement from blbllgglbl.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2b (base 15) in base 11?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-18*m + 11*m**3 - 16*m + 36*m)*(3*m - 4*m - m) to p*m**2 + r*m**3 + v*m**4 + j*m + o and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -45, 3, -4, -5, 2300 in decreasing order.\nAnswer: 2300, 3, -4, -5, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 21824?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.17 at most -13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 + -5.56. What is k rounded to one decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 627365 times -0.75\nAnswer: -470523.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1643283231?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -557 and 0.103.\nAnswer: -57.371","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 17? (a) -6 (b) 2\/7 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**3 - 12*i**2 - 19*i + 13. Let q be t(-10). Solve q*z + 3 = -0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 70505644?\nAnswer: 2, 11, 1602401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -d**4 - d**3 - 43 + 4*d**3 - d**2 + 3*d + 44 as w*d**2 + o + b*d**4 + h*d + n*d**3 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/50 and 42\/(-4)*(-30)\/(-45) + (-196675)\/(-27875).\nAnswer: 11150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*z - 271 + 831. What is the lowest common multiple of z and 88?\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 111? (a) 1\/2 (b) -6 (c) 1\/3 (d) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12 and 2391192?\nAnswer: 2391192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -221 - 4. Let x be (-124)\/(-30) - (-30)\/v. Suppose -14490 = -5*b - 3*j, 3*b - x*j = j + 8728. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10337040911 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*v - 2*k + 54, -2*v - 14*k + 11*k - 18 = -4*k for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*j + 19*j - 42*j = 110 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 22707 by -22707.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + 76 + 11. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14225099 to the nearest integer?\nAnswer: 3772","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 0*y = 54. Let n = y - -29. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g + 3*i + 3072, 0 = 18*g - 16*g - i - 2051. Calculate the greatest common divisor of g and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-22)\/(-3) + (-2)\/6. Let c = -11 + r. Let s(u) = 2 + 2 + 2 - 4 + 0*u - 2*u. Determine s(c).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4648 + 6609. Calculate the greatest common divisor of 74 and w.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14696*c + 27878*c - 13187*c.\nAnswer: -5*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.033 times -7?\nAnswer: -0.231","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -6445 - 15024?\nAnswer: -20469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the third derivative of 0*m**5 + 0 - 11\/40*m**6 - 1\/6*m**3 + 0*m + 7*m**2 + 0*m**4. Is s(-1) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7105873 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1374889 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 54910 and 159410?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**2. Let p(s) be the third derivative of 26*s**4\/3 - 23*s**3\/6 + 2*s**2 - 5*s - 78. Determine l(p(i)).\nAnswer: -43264*i**2 + 9568*i - 529","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44 - 10*i**2 + 44.\nAnswer: -10*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (49 - -11) + -52 - 52.\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 795?\nAnswer: 3, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2841 - 7408 + 4567 - 7*k.\nAnswer: -7*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 + -1)*(-18550)\/20. Suppose 3*f + 3*s = 1395, -4*f = s + 4*s - d. List the prime factors of f.\nAnswer: 2, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14.5 + 14. What is the biggest value in -1\/4, 2.4, y, 0?\nAnswer: 2.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-8)\/(-30)*(-3)\/(-2). Let g = -3\/5 - -11\/10. Which is the closest to o? (a) g (b) 5 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -45 and -639.\nAnswer: -684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the first derivative of -5*p**2\/2 + 11*p + 1345. Determine n(6).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, y: 7}. Give prob of picking 2 y.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 216 and 868124376?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -38652.6 rounded to the nearest 1000?\nAnswer: -39000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (9 - 2) + (-7 - 5)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -463 divided by 977\nAnswer: -463\/977","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 19322*f**2 + 115921*f - 4. Let c be d(-6). Suppose 5*x - x = 248. Is x > c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2499697092 to the power of 1\/7, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21061157?\nAnswer: 13, 73, 22193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 197*f**2 + 49*f**3 - 197*f**2.\nAnswer: 49*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**2 + 11. Give t(8).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c + 4*f - 89, -3*c + 5*f - 40 + 165 = 0. Let c*i**2 - 75*i - 15*i**2 - 16*i**2 - 21*i + 576 = 0. What is i?\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**3 - 2*x**2 + x - 5. Let d be b(-3). Suppose -4*k + k - 2*l = -19, -2*k - 5*l = 2. Solve -5*j + d = -k for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10115 and 85.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2907060*b**3 + 11*b - 97597?\nAnswer: -17442360*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -5*o**2 - 16*o - 11. Let d(m) be the third derivative of -m**5\/60 - m**4\/8 - m**3\/3 - m**2 + 880. Calculate 22*d(g) - 4*x(g).\nAnswer: -2*g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00074171 rounded to 4 decimal places?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 - -1. Let a = 239.9788 + 0.0212. Let p = a + -239.6. Sort p, x, 0.94 in descending order.\nAnswer: x, 0.94, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2 + -3)\/(-1)*206\/(-2). Let g = k + 103. Let c be (6 + 0)\/(-2 + g). Sort 8, c, -4 in decreasing order.\nAnswer: 8, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -4 from 30304.64.\nAnswer: 30308.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 2 + 15*d - 3*d + 17*d.\nAnswer: 29*d + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 136 <= 0.15121?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1456 and 1269856.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 36 in 2\/7, -0.4, -4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**2 - 4*c + 3. Let b be z(-5). Let x be 0\/b*(2 + -1). Is -4\/7 at most as big as x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from epmermmeereemrrpep. What is prob of sequence pre?\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 132 + (2 + -1)*-2. Let w = 579 + -292. Suppose -w = -3*h - 227. Calculate the greatest common divisor of k and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (25 + 48 + 21)*(268 - 268 + 15*k**3).\nAnswer: 1410*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -37378*a**2*c + 186*a*c - 22*a - 2*c wrt a.\nAnswer: -74756*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1033217, 1033229, 1033239, 1033247?\n\"Answer: -b**2 + 15*b + 1033203","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 58697294 and 68?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = 4*g - 69, -29 = 7*g - 11*g + 3*h. Solve 0 = 12*z - g*z - 1 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 942 * 2401.\nAnswer: 2261742","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17 + 18 + 2*u**2 + u - 40)*(4*u**2 - 7*u + 7*u + (-2*u - 5*u + 3*u)*(-u + u + 2*u)).\nAnswer: -8*u**4 - 4*u**3 + 20*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 107 = -3*d + 7*q, 1230 = d - 3*q + 1271 for d.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25248891 is divided by 1413?\nAnswer: 1407","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39973.\nAnswer: 71, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/35, 5, 0.2, -257, -3 in increasing order.\nAnswer: -257, -3, -1\/35, 0.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 41617 to the power of 1\/3, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 44 + 24. What is the tens digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c - 8425*i + 8430*i = -35, -7*c + 2*i + 29 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4 - 3)*(3 - 9 - 2)*(-r - r + 3*r)*(r - 5*r + 2 + 3*r).\nAnswer: 8*r**2 - 16*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 3*r**2 + 2*r - 9. Let l be g(5). Suppose 81*p - l*p = 485. What are the prime factors of p?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 500 = 7*l - 1124. Does 17 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/12972 and -61\/752.\nAnswer: 51888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 8 = 4. Let m be 35\/15 - j\/6. Solve 0 = m*a + 13 + 2 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 47*g - 12. Is m(5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3334 - -4890. What is the tens digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17 divided by -33\nAnswer: -17\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one fifths of a century in years?\nAnswer: 1020","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:01 PM and 2:46 PM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 divided by 7?\nAnswer: 38\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.12 and -3211617.\nAnswer: -3211617.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(2\/3)*r)**(-2\/67)\/(r**5*r*r\/r**(-1\/8)) assuming r is positive.\nAnswer: r**(-11537\/1608)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*m - 0*m. Suppose 4164*h = 4169*h - 70. Calculate the lowest common multiple of m and h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -5\/2 (b) -18 (c) -4 (d) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hw when two letters picked without replacement from {h: 2, w: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6374321*h**2 + 19597274?\nAnswer: 12748642*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (9\/(-30)*1\/6)\/((-62)\/(-124))\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-27)\/90)\/(4*12\/32)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t + 1. Suppose -25*q - 14 = -32*q. Let c(l) = -l**2 + 4*l - q*l - 15*l + 5*l + 5*l. Determine c(j) - 2*g(j).\nAnswer: -j**2 - j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 1.6 (b) -2\/7 (c) -0.5 (d) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -4*o + 3*o. Solve 1\/4*p**o + 0*p + 1\/2*p**4 - 1\/4*p**2 + 0 = 0 for p.\nAnswer: -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 >= -13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1936 + 2304. Calculate the highest common factor of q and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the second derivative of t**5\/20 - t**4\/12 + t**3\/3 + t**2\/2 + 2*t. Let d be r(2). Let k = -2 + d. What is the highest common divisor of 28 and k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -24774 - -35425. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -624666182 + 2?\nAnswer: -624666180","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 90404986 a multiple of 1049?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**2 - d + 1. Suppose 0 = -3*m + 10 - 1. Let y be (-4)\/m - (-2)\/6. Let c(t) = 0*t**2 + t - 2*t**2 + 6 - 7*t**2 - 7*t. Give y*c(w) + 6*p(w).\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 124539 is divided by 17684.\nAnswer: 751","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from usatauuguu. Give prob of sequence gt.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-10))\/(63\/(-35))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4190 a factor of 84013690?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 14 = -1. Let b be (l - 13)*(-7 - -9147). Round b to the nearest one thousand.\nAnswer: -91000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 46, 61, 108, 205, 370, 621, 976?\nAnswer: 1453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j + 11. Suppose -18 = -4*d + d. Let t be o(d). Suppose -t*g = -3*u - 22 - 111, -91 = -3*g - u. Calculate the remainder when g is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 111 - 114. Let o(y) = -60*y + 150. Let t(v) = -15*v + 40. Let b(q) = 4*o(q) - 15*t(q). Let x(c) = 44*c. What is j*x(z) - 8*b(z)?\nAnswer: -12*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 3, -2\/7, -1\/5, 3\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -83 at most -165\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 81211 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -19207\/20 - -960. Find the common denominator of g and 87\/1004.\nAnswer: 5020","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:28 PM and 9:53 AM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*o**2*z**3 + 14528705*o**2*z**2 - 2*o**2*z - 60*o*z**3 - 10350*z**3 wrt z?\nAnswer: -18*o**2 - 360*o - 62100","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4*(3\/(-12))\/(-1). Let t be 7140\/(-44) - 24\/(-88). Sort 4, 5, q, t in ascending order.\nAnswer: t, q, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-10)\/35*14\/6. Let t = 1\/6 + d. What is the biggest value in -2, t, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:36 PM and 6:22 AM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 130*g - 1176 = -458*g. Suppose 13 = -r - 4*k + 35, 0 = 5*r - 2*k. Let a = r + 4. Solve 2*h + g*x + a = 0, -h - 2*x = 2*x + 6 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 72040 and 5403?\nAnswer: 216120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 3 x when four letters picked without replacement from eeeeeeexexxeee?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/2 >= -122?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + 2*i - 247 = -259, 3*j + i - 10 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 - 4?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1663527.75999775 - -1663528. Let d = 0.844 + -0.604. Let p = c - d. What is p rounded to seven dps?\nAnswer: 0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**2 - 12*s + 16. Give j(6).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5120 and 80?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes before 11:36 AM?\nAnswer: 9:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -17*-9\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 m when two letters picked without replacement from {u: 1, m: 4, z: 1, w: 7}.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aamax. What is prob of sequence mx?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 divided by 35?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6453 is divided by 5585?\nAnswer: 868","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*w**5 + 2825*w**4 - 52105*w**3 - 221925*w**2 - 170840*w + 83500 = 0.\nAnswer: -2, 1\/3, 25, 167","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -151, -0.15, 26, 0, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9262518 and 1775?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f = -2*f + 2*f. Let t be (-2 - 178\/(-92))\/(3\/(-2)). Is t <= f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 3*o + 17. Calculate a(-15).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 0 - (-2 - -21 - (21 + -11)) - 78\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-3)\/(-117)*(-990)\/(-176) and -51\/26.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 30 (b) -0.3 (c) 1\/8 (d) 39 (e) -213\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is 1122 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: What are the prime factors of 1708349?\nAnswer: 53, 32233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 17, 12, -55, -232, -567, -1108, -1903?\n\"Answer: -8*p**3 + 17*p**2 + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 0.15 (b) -1\/6 (c) -1\/4 (d) 3 (e) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/339 and 35\/904.\nAnswer: 2712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 4*z = 5*z. Suppose z*y - 6 = -y. What is the least common multiple of 20 and y?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 74 = -2. Calculate the lowest common multiple of a and 1.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 67156 and 3296?\nAnswer: 412","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -13*c**2 - 428*c + 2974. What is r(7)?\nAnswer: -659","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 + -33*2\/(-6). Let d be (g + -487)\/(1\/(-1)). Let r = d + -288. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 0.01, -2, -0.01, -585?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1697 + 2.7216107.\nAnswer: -1694.2783893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 752 = -18*s + 22*s. What are the prime factors of s?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4413825*j**4 - 16*j**2 + 1646*j - 4 wrt j?\nAnswer: -105931800*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 26384 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*v = 5*k - 39*v + 74, -3*k - 35 = 4*v. Let r(c) = -5*c**2 - 7*c - 13. Let o(y) = 2*y**2 + 3*y + 6. What is k*o(u) - 6*r(u)?\nAnswer: 4*u**2 + 3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/7, 6\/7, -1\/5, -27, 1\/7, -21?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 88947 to the power of 1\/2, to the nearest integer?\nAnswer: 298","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - p**2 + 3)*(2*p - p + p) + (p + 0 + 0)*(-3*p**2 + 4*p**2 - 2*p**2) + 259 + 2*p**3 - 259.\nAnswer: -p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11080 divided by -2770.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 23498 - -29361. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 21.4 - 21.2. Put -4, 0.5, x, 6\/5 in increasing order.\nAnswer: -4, x, 0.5, 6\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y + 27*y - 5126. Let n = y - 469\/2. What is the biggest value in -10, 5, n?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6969)\/(-2222) - (-12)\/33 - -4*772\/32?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/(-4)*19\/(1710\/40). Let v = 15 - 8. Let r = v - 7.3. Which is the closest to d? (a) 0 (b) r (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 125.499999044 + -125.5. Round n to seven decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 7 = 4. Suppose 0*w - 9 = -v*w. Suppose 0 = 2*a + 22 - 22. Solve a = -w*u + 4*q - 3*q + 9, 0 = 2*q for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -0.1, 1\/11, 0, -252\/17, 1, -3?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-21)\/(-18))\/((-147)\/(-315))\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**3\/7 - 42*f**2 - 580*f\/7.\nAnswer: -2*f*(f + 2)*(f + 145)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -94 + 468\/5. Which is the closest to -0.1? (a) -0.5 (b) f (c) 14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 5*q - 21 = 0, -q + 20 = x + 5. Solve 4*m - x = 8*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110100010010 (base 2) in base 7?\nAnswer: 12520","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.6 - 6.4. Let j = a - -5. Let h = -1.2000085 + j. Round h to 6 decimal places.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15036*w + 14939*w = 2910 for w.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -290*t = -562*t + 297*t - 175 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 192899\/50 + -3857. Find the common denominator of 83\/110 and o.\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 84*a**2*c**2 - 71333946*a**2 + 33397*a*c**2 + a*c - 19*c**2 wrt c?\nAnswer: 168*a**2 + 66794*a - 38","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 3 = 4*u. Let t = -2 + u. Put 5, -7, t in ascending order.\nAnswer: -7, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h**(4\/19)\/h*h)\/(h*h**(-3\/19)))\/(h*h**(3\/2))**(1\/6))**(-18\/13) assuming h is positive.\nAnswer: h**(33\/494)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 30.5 + -31. Let i = -3 + 3.01. Let k = 156\/79 - 1408\/553. What is the second biggest value in i, p, k?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/5)\/(6448\/620).\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -0*u + 55. Suppose 4*i + 2 = -x + u, 6 = i - x. Let l be (4\/(-6))\/(5\/(-15)). Solve 3*q - 2*y + i*y - 4 = 0, -3*y + 1 = -l*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**3 - 5*x**2 - x - 3. Let d be y(-4). Let l = 42 + d. Is 9 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 - 5. Let c = -2 + n. Let p = -17 - -69\/4. What is the closest to c in 1, p, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n + 1. Let k(r) = -53. Let l(t) = 2*k(t) - 6*y(t). Calculate l(-13).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 84 - 32. Is 26 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -86.398 and -4?\nAnswer: 345.592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 39 + -52.5. Let t = a - -13.407. What is t rounded to two dps?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1891, -1989, -2255, -2773, -3627, -4901?\n\"Answer: -14*d**3 - 1877","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 22*i**4 + 36*i**2 - 2*i**3 - 12*i**4 - 19*i**4 + 8*i**3 - 3*i**5 + 24*i = 0.\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 2*t**2 + 11*t - 5. Calculate v(-5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5\/6, -0.7, -2, 4.4, -3?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w**3\/7 - 19204*w**2\/7 + 269222*w\/7 - 250016\/7 = 0. What is w?\nAnswer: -9616, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*j = 4*d - 29*j - 37530, 10 = -2*j. Is d a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4791 - 9234*x + 18458*x - 9222*x + (5*x - 3*x - 4*x)*(1 + 3 - 3) - 4*x + x + x to the form j + l*x and give j.\nAnswer: 4791","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange v**3 + 26*v**2 - 32*v**2 + 3*v**3 + 13*v**2 to the form s*v**3 + q*v**2 + f + z*v and give s.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -36.7, 1, 8, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lbb when three letters picked without replacement from {l: 1, b: 2, n: 1, t: 1}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(2\/9))**(-2\/71)\/(l**6\/((l*l*l**(-2\/3)*l)\/l)) assuming l is positive.\nAnswer: l**(-2986\/639)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10804*i + 10798*i = 1624440. Round i to the nearest 1000.\nAnswer: -271000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c - c - c)*(7 - 1 - 3)*(-5*c + 5*c - 7*c).\nAnswer: 21*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1\/6, -1 in descending order.\nAnswer: 3, 1\/6, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u - 3*u + 3*u)*(-29*u**2 + 5*u**2 - 26*u**2) + 7 - 2*u - 23 - u**3 + 22*u**2 + 17.\nAnswer: 99*u**3 + 22*u**2 - 2*u + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a = -10*l + 6*l + 32, -2*a = 3*l - 24 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 10 = -i. Let h be i + 13\/3 - -1. Let k = -11\/3 + h. Which is smaller: 0.2 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 4*k = -f + 123, 2*f + k - 201 = 0. Suppose 86 = 5*b - 2*y, 4*b - 3*y - f + 37 = 0. Solve -4*n = -3*v + b, v - 5*n - 2 = 15 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9800250 is divided by 2068.\nAnswer: 2066","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 10\/(-4)*4\/2. Let t = 8 + -5. Which is the third biggest value? (a) t (b) 5 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w\/(w*w**(-4)\/w)*w))**(-6\/25)\/(w\/w**(-5))**2 assuming w is positive.\nAnswer: w**(-54\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from mngooom.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 0.7625181 millennia?\nAnswer: 7.625181","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 + 397?\nAnswer: 394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-44 - 29 + 21)*(841 - 841 - 17*y) to v + z*y and give z.\nAnswer: 884","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 + 22908?\nAnswer: 2290d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -3*u**2\/7 - 1032*u\/7 - 88752\/7 = 0.\nAnswer: -172","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 26788*d - 160725. What is g(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -0.5, 3, 2\/7, 0.0174, 0.05 in increasing order.\nAnswer: -0.5, 0.0174, 0.05, 2\/7, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11, -16, -25, -38, -55, -76?\nAnswer: -101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 29 and 371?\nAnswer: 10759","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 8) to base 10\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9*x**2 + 4*x - x + 10*x wrt x?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**2 + w - 1. Let b = -386 - -385. Let h(l) = 4*l**2 + 7*l - 6. Determine b*h(n) + 6*s(n).\nAnswer: 2*n**2 - n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 143053 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -23 - -30. Suppose 6*a - 5 = q. Let f(k) = k - 1. Let s be f(6). Solve -4*u = 5*t + 1, -s*u + 0 = a*t - 3 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the second derivative of k**3\/6 - 2*k**2 + k. Let h be b(7). Suppose -y + h = 2. Calculate the greatest common divisor of 5 and y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -58 + 63. Solve -3*h - 4*x = -9, 3 = n*h + 2*x + 2 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:37 PM and 12:31 AM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1*1\/(-7)*2. Suppose 4*u + 0*v + v = -6, -10 = -5*v. Let y be (-3)\/18*1*u. Is f smaller than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i = -15 + 27 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -25*l**3\/4 - 49*l**2\/4 + 301*l\/2 - 6 = 0. Calculate l.\nAnswer: -6, 1\/25, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**2 + o - 1. Determine z(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13 - -54. Suppose 3*y = -2*w - 20, 0 = 3*w + 2*w + 4*y + 43. Calculate the remainder when d is divided by (w\/2)\/(3\/(-18)).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:42 PM and 3:42 AM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**2 - 6*c - 8. Let n be u(-7). Let t = -13 - n. Find the third derivative of -3*l**t + 2*l**2 - l**2 - 6*l**4 - 3*l**2 wrt l.\nAnswer: -144*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 584000 rounded to the nearest one hundred thousand?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*i - 10*g + 110, 4*i + 149 - 429 = -5*g - 207 for i.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 17 (b) -10 (c) 0.2 (d) -981 (e) 3 (f) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 224382271 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one quarter of a millimeter?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x**2\/5 - 34145008*x\/5 - 145735196415008\/5 = 0. Calculate x.\nAnswer: -8536252","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 + -3. Let y be (-3 + u)\/((-1)\/(-5)). Sort -3\/2, y, 0.4 in descending order.\nAnswer: 0.4, -3\/2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51*b**3 - 49 - 99*b**3 + 49 - 57*b**3.\nAnswer: -207*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 48222720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 115*v + 1 - 121*v + 478*v as s + c*v and give c.\nAnswer: 472","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 8 - 6 = 0. Let x be 3*t - (-7 - 1). Suppose 7*k - 3*k + 8*k = 0. Solve x*h + k*n - 15 = -n, -3*h = 3*n - 21 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6546 - 6484. Put s, 3\/5, -2 in descending order.\nAnswer: s, 3\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95 = -5*a - 100 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11432164 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * -6842.\nAnswer: -20526","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -50*b - 18 - 32. Let s = 161\/50 + -31\/10. Which is smaller: b or s?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1, 0.02 in decreasing order.\nAnswer: 0.02, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -304 at most -304?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**2 - 6*o + 2. Let g be y(-6). Suppose -4*z + 1 = -5*s, -2*z = -g*s - 0*z - 2. Suppose -4 = -s*b + 2*b. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 187b0 (base 15) to base 5\nAnswer: 10014430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the third derivative of s**6\/30 - s**5\/15 + s**4\/8 - 34*s**2. Let z(u) = -u - 1. Let y be z(-3). Let d be f(y). Is d at most 23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/(-8) - (-39 - 24244\/(-880))) + -13\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33364 - 34876 = -42*t for t.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 6*i = 3*m - 52, 0 = 5*m. List the prime factors of i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 4*s - 2*s, 2*s = 5*i - 1468. What is the highest common divisor of 6 and i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z**4\/3 + 19710*z**3 - 2*z**2\/3 - 19710*z = 0 for z.\nAnswer: -29565, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -784102.\nAnswer: -3\/784102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 713397.\nAnswer: 3, 37, 6427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 33\/8*h - 3\/8*h**2 + 9\/2 = 0.\nAnswer: -1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -163\/114 - 4\/57. Let t = 2.5 + -0.3. Let k = 2 - t. Sort 1\/8, k, g in increasing order.\nAnswer: g, k, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-6)*-1*147\/343?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -134, -257, -392, -539?\nAnswer: -698","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -700 - -1305. Suppose -43 = -9*x + m. What is the greatest common factor of x and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -10 + (3 - 3)\/(-1). Let y = 119 + -117. Suppose -5*k + 0*k = y*z, 3*z + 3*k = -18. Is q less than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2 - 3 - -4) + 6 + -3. Suppose 0 = 5*w - 5*f + q + 4, -3*w - 2*f + 14 = 0. Suppose -l - 20 = 5*o, o = l + w - 0. Sort 5, o, 0.4 in increasing order.\nAnswer: o, 0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 104698.49 times -1\nAnswer: -104698.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -293085\/22 - -13325. What is the common denominator of s and -55\/18?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -905*n**5 + 12695*n**4 - 5 - 12695*n**4 + (-4*n + 6*n + 0*n)*(-2*n**4 - n**4 + n**4).\nAnswer: -909*n**5 - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*s = 16*s + 3*j - 10, -18 = -3*s - 3*j for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5\/78 - -349\/273. Let z = v - 27\/28. Which is the closest to -7? (a) z (b) 0 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 681?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 206404219 to the nearest integer?\nAnswer: 591","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b + 5*j - 26 + 1, 4*b - 3*j = -15. Let l be b*(-2)\/6 + -21. Is (-6)\/l + 108\/14 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the second derivative of -u**4\/6 + u. Let h(c) = -c**2 - 2*c**2 - 51*c + 51*c. Determine f(h(d)).\nAnswer: -18*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 24857 (b) -32 (c) -37\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2399 - 2102. Calculate the remainder when b is divided by 64.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*j**4 - 5*j**4 + 4*j**4)*(1 - 4 - 1) + (-1 - 2*j**3 + 1)*(2*j - 2*j + 2*j) to y*j**3 + z + g*j + s*j**4 + w*j**2 and give s.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 26*v**2. Let d = 23 + -21. Let p(m) = -m**d - 42 + 42. Determine f(p(h)).\nAnswer: 26*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the third derivative of 1\/30*z**6 + 2*z**2 + 0 - 1\/12*z**5 + 1\/3*z**3 + 0*z - 7\/24*z**4. Factor o(d).\nAnswer: (d - 2)*(d + 1)*(4*d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 h when four letters picked without replacement from {t: 3, h: 4}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -147 + 225. Let j be ((-8)\/p)\/(2\/(-3)). Let t be 1 + 1 + 60\/(-35). Which is the third smallest value? (a) j (b) t (c) 3 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*o**2 + 28005*o - 363220.\nAnswer: -5*(o - 5588)*(o - 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mo when two letters picked without replacement from osomobooommmsupuooss?\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 5*k, 0*c - 4*c + 5*k + 5148 = 0. Is c a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13)\/3 + 328\/82?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -5\/7 (b) -23 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = 2*a. Suppose a = -6*z - 2*z + 16. Suppose -14 = -3*x - z. Solve 4*i = -16 - x for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - -3) + 0 - -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (206 - 6*w**2 + w**2 - 191)*(0*w + w + w).\nAnswer: -10*w**3 + 30*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2*-1)\/(-2) - (-22)\/11. Solve -x - 6 = q - 5, -4*x - 3 = t*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 293? (a) 5 (b) 3 (c) 1\/344\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 - 19 = -5*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 359 - 205. Which is bigger: f or 2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 75 + 197*m**2 - 2*m + 100 - 12 + m**3 + 11*m**2 - 42 wrt m?\nAnswer: 6*m + 416","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 + 16561?\nAnswer: 16566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 52*d + 4 - 3.\nAnswer: 52*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 33.3 + -40. Let k = -3.1 + o. Let t = 3 + k. What is t rounded to the nearest integer?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -334*f = -341*f + 91. What is the remainder when f is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4.7 - -1.7. What is the smallest value in p, -6, 0?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/5, 151189\/27, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -215.57 - -216. Let d = y + -0.03. What is the closest to 0 in 1\/5, d, 6?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -226 - -225.5. Let w be (8\/(-5))\/((-9)\/360). Suppose -w = -8*h - 24. What is the biggest value in 2, h, d?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = z + 1, -3*m + 19 = 4*z - 0*m. Let p(v) = -z + 1 + 5*v - v. Is p(4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11*d**2*n**6 + 51*d**2*n**3 + 29*d**2*n**2 + 64*d*n**2 - 1 wrt n.\nAnswer: 1320*d**2*n**3 + 306*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 138004?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6569 is divided by 115?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:49 AM and 3:29 AM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 37462326?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**12*x**12*x)**(5\/8) assuming x is positive.\nAnswer: x**(125\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(1220\/2745*((-20)\/48)\/(-5)).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the third derivative of 1\/3*d**3 - 1\/30*d**5 - 1\/120*d**6 + 1\/6*d**4 + 0*d - 6*d**2 + 0. Suppose -3 = -4*v - g - 12, -3 = -g. Give b(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11235, 91661, 309967, 735093, 1435979, 2481565, 3940791?\nAnswer: 5882597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**3 + 6*y**2 + 4*y - 2. Let b be a(-5). Solve -11 = -o + 3*g, -g - 37 = b*o + 4*g for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2775 (base 9) to base 8\nAnswer: -4055","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + 15 - -67 - 320\/20.\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14 - -17. Let o = 46 - 24. Let a = r - o. Calculate the greatest common divisor of 63 and a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 305 - 117. Let k = o - 204. Which is bigger: k or -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5.2 + -2.2. Let g(o) = -o**3 - 4*o**2 + 5*o - 5. Let f be g(-5). Which is the third smallest value? (a) l (b) f (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 297*0.2.\nAnswer: 59.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -1801*z - 5087. What is s(-3)?\nAnswer: 316","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -93, -64, 20 in ascending order.\nAnswer: -93, -64, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2*(8 + 0) + 4. What is the highest common divisor of a and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -300*c - 2000 - 1\/4*c**3 - 15*c**2.\nAnswer: -(c + 20)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t**5\/3 + 710*t**4\/3 - 54212*t**3\/3 - 527852*t**2 - 1866942*t - 1357398 = 0.\nAnswer: -19, -3, -1, 189","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**3 + a**2 - a + 17. Let m be q(0). Let t be (-2)\/4 + m\/2. Suppose -3*y = -5*y + t. Solve -k = -0 - y for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4052734 divided by -14?\nAnswer: -289481","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put together -25999 and 55.393.\nAnswer: -25943.607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 384259?\nAnswer: 384259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 256 divide 63422511?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 76*s + 82*s + 73*s - 230*s. Let x(o) = 26*o**2 + 2. What is x(y(k))?\nAnswer: 26*k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.824530174 rounded to 1 dp?\nAnswer: 14.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the first derivative of -u**3 - u**2\/2 - 2. Let d be b(1). Let x(t) = -13*t + 7. Let g(h) = -6*h + 3. Let z = -27 + 36. Calculate d*x(f) + z*g(f).\nAnswer: -2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 434.7363 millennia to years.\nAnswer: 434736.3","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Is 288 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 28\/20 + (-13 - (-2826)\/210).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*q**2 + 960816*q + 76930615488 = 0. Calculate q.\nAnswer: -160136","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.2852*249\nAnswer: 71.0148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -463*y**5 - 2*y**2 + 350?\nAnswer: -27780*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 375877923.\nAnswer: 3, 1523, 82267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.03 - -5.03. Let h = u - 4.9999943. Round h to 6 decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 50 + -47. Let g(k) = 49*k**2 + k + 57*k**2 - 4*k**i + 1 - 106*k**2. Suppose 0 = -5*q + 2*q - 3. What is g(q)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -1 = 4\/21978361?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 2*v**3 + 53518722*v**2 - 2*v - 53518722 = 0.\nAnswer: -26759361, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 2*o = o - 21, -q + o = -1. Suppose -z = -5*m - 6, -3*z + 0*m - 16 = 2*m. Suppose 2*h = -h + 9. Sort z, q, h in descending order.\nAnswer: q, h, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hfr when three letters picked without replacement from hfrffrhfh?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**2 - 76*c - 1444.\nAnswer: -(c + 38)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 75.698646 rounded to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 216 and 544?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -r, -2*r = -3*p - 3*r + 28. Suppose -3*d - 20 = -4*q, 0 = -5*q + 5*d + 20 + p. Suppose q*a = 3*a - 2. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**3 + 7*n**2 + 6*n + 2. Let j be d(-6). Suppose -2 + 16 = j*r. What is the smallest value in r, 0.3, 4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -12*m**2 - 14*m - 4. Let j be 7 - -7 - 4*1. Let a(d) = -d**2 - d - 1. Let i(x) = j*a(x) - k(x). Factor i(u).\nAnswer: 2*(u - 1)*(u + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o + 10 = 7*o - 4*s, 2*s = o - 8. What is the third biggest value in -5, o, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/1*(-65)\/195.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1836832.54 - 0.3.\nAnswer: -1836832.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 4*f - 26, 4*a - 20*f + 43 = -15*f. Let u(l) = -3*l**2 - 19*l + 14. Let w be u(a). Solve w = -0*i + i + 3*r - 13, i + 11 = 3*r for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 12 = -4*u, 3*u = -5*a - 8 + 27. Suppose -a*x - 480 = -0*x. What are the prime factors of ((-12)\/9)\/(4\/x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 3*o = 4*q - 129, -5*q + 163 = -2*o. Let w = 8 - 5. Calculate the greatest common factor of w and q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 371316?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 105\/7306 and 11\/20748?\nAnswer: 5830188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g - 3*g + 2*g)*(3 + 0 + 0 + (0 + 2 - 4)*(-1 + 1 + 2) - 1 + 4 - 1 - 6 + 5 + 2 + 2 + 1 - 2 + 4 + 1 - 6 + 0 + 3 - 5 + (-18 + 8 - 14)*(2 - 2 - 2)).\nAnswer: -96*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5298 - 5294. Which is the closest to -2\/3? (a) 0.2 (b) u (c) -12 (d) -0.9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*j**2 - 26*j**3 - 3*j + 2*j + 0*j**2 wrt j.\nAnswer: -156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 291, 345, 479, 735, 1155, 1781, 2655?\n\"Answer: 7*k**3 - 2*k**2 + 11*k + 275","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3284*y - 3280*y + 68 - 3274*y + 9840*y.\nAnswer: 2*y + 68","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 85610443 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**3 + c**2 + c + 43. Let p be z(0). Suppose 253 = 5*f + p. Calculate the greatest common divisor of f and 56.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 119, -4, 5, 3, -1 in descending order.\nAnswer: 119, 5, 3, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -25496, -25600, -25714, -25838?\n\"Answer: -5*b**2 - 89*b - 25402","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 206498, 412938, 619376, 825812?\n\"Answer: -p**2 + 206443*p + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 21201492 a multiple of 95?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.33 and 1369777248302?\nAnswer: 1369777248301.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 plus -6350639013?\nAnswer: -6350639012.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 3\/983456659?\nAnswer: 3\/983456659","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the third derivative of o**6\/60 - o**5\/20 - o**4\/24 + 5*o**3\/6 - 39*o**2. Let p(r) = -r**3 + r**2 + r - 3. Determine 3*h(k) + 5*p(k).\nAnswer: k**3 - 4*k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*i + 2*m, 0*i + i = 3*m + 11. Suppose 4*x = -5*r + 25145, 3*r + i*x + 2699 = 17788. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.3 + -2.2. Suppose -5*l + 20 = 0, 2*c + 2*l = -0*l + 18. What is the third biggest value in 0.3, s, c?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 8, 15, 22?\n\"Answer: 7*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -6, -0.1, 0.04, 1, 2\/11, 3.63?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 8 = 6*y. Which is the closest to 2\/47? (a) -3\/7 (b) y (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -351, -316, -259, -180, -79, 44, 189?\n\"Answer: 11*g**2 + 2*g - 364","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 507.525 and 0.19.\nAnswer: 96.42975","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 76*y. Let n be t(1). Let i = 46 - n. Find the common denominator of 2\/(-6) + (-307)\/i and -21\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 6 = -4*i + 7, 0 = 2*i - 8. Let f = 2 + u. Solve -f*t + 25 = -0*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 1036000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k**4 - 5*k**4 + 2*k**4)*(k - 1 + 1) - 85*k**5 + 24*k**4 + 42*k**5 - 24*k**4 + 4*k**3.\nAnswer: -45*k**5 + 4*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 2\/7 (b) 2 (c) 1024 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 - 101011010?\nAnswer: -101010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -90476 divided by 6.\nAnswer: -45238\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) -0.2 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 + (10 - (-3 - -6)). Suppose y*j = -5*i + 2145, -i = j + 4*j - 409. List the prime factors of i.\nAnswer: 2, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**3 + 13*l**2 + 5*l - 188. Give c(12).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 12\/2*(-62)\/124*15\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 692791?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 4060.353 litres?\nAnswer: 4060353","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v + 0*v + 0*v)*((-1 + 1 - 2)*(-1 + 6 - 3) - 16 - 18 - 36)*(23 - 45 + 1).\nAnswer: 3108*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5537?\nAnswer: 7, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 33737221893 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 2 e when four letters picked without replacement from feeyywppyee.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the first derivative of -23\/3*k**3 + 0*k**2 - 39 + 0*k. Let q(n) = -5*n + 0*n + 6*n. Determine x(q(a)).\nAnswer: -23*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -7*a**2 + 216*a + 36. Let l be h(29). Calculate the highest common factor of l and 118.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t + 4*t + 4. What is the highest common divisor of 20 and t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = 4*q - x, q + 3*q + 28 = -4*x. Let z = q + 1. Calculate the common denominator of 15\/22 and (z\/(-18) - (0 + 1)) + -3.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 396 divide 4753106201?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/384 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -178 = 12*o - 1510. What are the prime factors of o?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4\/1317 or -1?\nAnswer: 4\/1317","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrsshdsrssr. Give prob of sequence rr.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:08 PM and 9:16 PM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-190 + 10 - 29)*(o - 1 - 17 - 6).\nAnswer: -209*o + 5016","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (-22)\/(3\/(-6)*2) and 4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 101890365 to the nearest integer?\nAnswer: 10094","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.91 - -1.21. Let p = 1.1 - 1.1. Which is the nearest to p? (a) -3\/4 (b) n (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**3 + 11*v**2 - 8*v - 20. What is b(10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8524 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -34*k + 29*k + 25. Suppose 8*g = k*g + 1131. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(19) - sqrt(38)\/sqrt(2)*4) + -3)**2 - (-5 + (sqrt(76) + -1)**2).\nAnswer: 22*sqrt(19) + 108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 468 + -274. Solve t*p**4 + 2*p**3 - 196*p**4 + 4*p**2 + 0*p**2 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-34 + 139 + 11*i**2 - 13*i**2 + i**3)*(-3*i + 4*i - 3*i + (-i + 0*i + 0*i)*(2 - 1 + 1) + 0 + 0 + 2*i).\nAnswer: -2*i**4 + 4*i**3 - 210*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes before 7:10 AM?\nAnswer: 1:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, -19, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 12 - 21 = -4*i, -3*i - 24 = -x. Let f be (12\/x)\/(5\/50). What is the units digit of -8 + f + 1*32?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**1)**(1\/50)*(k\/k**(-1\/2))**42 assuming k is positive.\nAnswer: k**(3151\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -u - 30, -3*z - 3*u + 8 + 7 = 0. Let s(f) = -f**2 - 11*f - 2. Let n be s(-7). Let m = 39 - n. Calculate the smallest common multiple of z and m.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3200) + sqrt(6)\/(sqrt(243) - sqrt(3)).\nAnswer: 321*sqrt(2)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 7, b: 5}. Give prob of picking 2 e and 1 b.\nAnswer: 21\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/129 (b) 2\/17 (c) -7 (d) 6 (e) -5 (f) -1 (g) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 + -123102310?\nAnswer: -123102320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1898 divided by 1327.\nAnswer: -1898\/1327","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -3 + 9. Let c(z) = -8*z - 9. What is c(x)?\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:30 AM and 7:53 AM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -18 - -16.4. Let v = s - 0.4. What is the closest to v in 1\/5, 1, 4?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16 + 30. What is the remainder when 25 is divided by j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the first derivative of 1505*m**3 - 58*m**2 + 7*m + 2467. Find the second derivative of w(h) wrt h.\nAnswer: 9030","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -13*o - 52. Let y be l(-4). Solve 4*a = -5*u - 104 + 79, y = -4*u - 3*a - 20 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + -169.\nAnswer: -174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**2 + 14*m + 9. What is g(-9)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 - 39 - -57) + 22.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -6885, -6912, -6939, -6960, -6969, -6960, -6927?\n\"Answer: c**3 - 6*c**2 - 16*c - 6864","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -3*j**3 + 29*j**2 - 17*j - 19. Let g be x(9). What is the common denominator of (4 - (-3416)\/(-160)) + (-1)\/g and 25\/89?\nAnswer: 356","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1, -0.2, 4\/7, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0169 * 88047.\nAnswer: 1487.9943","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-3) - (-3 - (-129)\/45)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4069, 2, -3, -2\/23 in descending order.\nAnswer: 4069, 2, -2\/23, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-2))\/(2 + 18\/(-12)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -6*v + 64. Suppose -2019*x + 2178*x = -795. Let a(k) = -2*k + 21. What is x*d(z) + 16*a(z)?\nAnswer: -2*z + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**2 + j + 10. Let b be o(0). Let w(k) = -2*k + 4*k - k + 0*k - 7. Let q be w(11). What is the greatest common divisor of b and q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 0 + 4*c + 2 - 1. Let d be y(1). Let g(u) = -u**3 + 5*u**2 - u + 4. Let h be g(d). Is h smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -4*u**3 - 6*u**2 + 7*u - 2. Let s(o) = 5*o**3 + 6*o**2 - 8*o + 2. Let i(b) = 6*f(b) + 5*s(b). Let q be i(6). Let n = 17 - q. Is n a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 15*b - 5. Let s be g(1). Suppose -38 = s*a - 798. What are the prime factors of 4\/(-10) - -38*a\/20?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 - 57\/6)*-38. Let v = 2416 - n. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 3*v - 3. What is the units digit of 24\/(-15)*v*5?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 + -11. Let w = -2.5 - y. Let o = 1879 - 1869. What is the second biggest value in w, 5, o?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -49 - 2*q**2 + 159*q + 81*q - 339*q. Let i be p(-50). Let s(f) = -15*f**3 - 33*f**2 + 33. Let j(c) = -c**3 - 2*c**2 + 2. Determine i*j(g) + 6*s(g).\nAnswer: 9*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p - 3. Let i(g) be the first derivative of g**4\/2 + 2*g**3\/3 - 2*g**2 + 3*g - 80. Let q be i(1). Calculate z(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, o: 3, k: 2, w: 1, p: 13}. Give prob of picking 1 w and 3 p.\nAnswer: 286\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:43 AM and 5:05 AM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.3 from -138042933182165.\nAnswer: -138042933182165.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(13)*2 - (2*sqrt(208))**2.\nAnswer: -832 + 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/(-40)*-106 - (-4)\/10. Solve -4*p - 3 + b = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5\/7 + (-5)\/(-35). What is the closest to 1\/2 in -0.4, q, -2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38351 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12399 + 12417. Let s = 3.07 - 0.07. What is the fourth smallest value in s, 0.02, -0.4, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.29 - -0.19. Let x(j) = j**3 - 6*j**2 + 13*j - 12. Let i be x(8). Let g = 664\/3 - i. Sort g, 0, 2\/5, m in descending order.\nAnswer: g, 2\/5, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -111*i**2 - 6105*i - 309. Calculate f(-55).\nAnswer: -309","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -3*k, 130*q - 129*q - 2*k = -5 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v**7*v)*v**(-3\/5)\/v)**(-4\/13))**(-4\/7) assuming v is positive.\nAnswer: v**(-688\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r*r**7*r)\/(r*r**(-1\/10)\/r))**(-34))**(2\/31) assuming r is positive.\nAnswer: r**(-3434\/155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -103221120 + -2332?\nAnswer: -103224002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 967 + (-2 + -9 - -7).\nAnswer: 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Put 1, 868, 9, 0, 3, -326 in ascending order.\nAnswer: -326, 0, 1, 3, 9, 868","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 117*a**2 - 107*a**2 - a**3 - 10*a**2.\nAnswer: -a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (13 - 16) + (-7 - -2)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 2*d**2 - 7*d - 4. Let l be a(6). Let t be 30\/4*l\/1. Suppose -3*b + t = -0*b. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1304 + 1306. Let h = -0.34 - -0.14. Put x, -1, 4\/11, h in descending order.\nAnswer: x, 4\/11, h, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -44*596.64\nAnswer: -26252.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (35\/21)\/(12*(-45)\/(-9072))?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 59 in 47, 2\/17, 1, -6.5?\nAnswer: 47","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 18*x + 20*x = -34, -n = -5*x + 7. Suppose 5961 = a + 4*q, n*a - 17857 = 5*a + q. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 32663?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1321, -2914, -5045, -7984, -12001, -17366, -24349?\nAnswer: -33220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.013858 to 2 dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, 38, -516?\nAnswer: -516","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 94 + -92. Suppose -g*i = -5433 - 4289. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n - 1. Let j(q) be the first derivative of -4*q**3\/3 - 3*q**2 + 4*q + 504. Let s(c) = c**3 - 2*c**2 - 2*c + 3. Let k be s(2). Give k*j(i) - 5*y(i).\nAnswer: 4*i**2 + i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1051*g*m*z**2 - 12*g*m + g*z**2 + 155*m*z**2 + 2*z**2 + 1193859*z wrt m.\nAnswer: 1051*g*z**2 - 12*g + 155*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.1 (b) -5 (c) -24250883 (d) -4 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -483, -979, -1493, -2031, -2599?\nAnswer: -3203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 236 divide 2840260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -5*t**3 - 2*t**2 + 42*t + 24. Calculate c(5).\nAnswer: -441","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 12 (b) -0.1 (c) -27 (d) 0.5 (e) -29\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4793222 by 4.\nAnswer: 2396611\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 276007.4 decades in months?\nAnswer: 33120888","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-40 + -55 - 19) + 66?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q - 3. Let c(k) = -19 + 6 + 6*k - 7*k - 3*k. Suppose -4*i = 2 - 18. Calculate i*c(w) - 18*x(w).\nAnswer: 2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 151561383 to the power of 1\/2, to the nearest integer?\nAnswer: 12311","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -4*t + 36. Suppose 0 = -5*d - k - 33 + 96, 2*k - 18 = -d. Determine s(d).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -5*m - 70199980, -y - 5*m = 3*y - 93600020. What is y rounded to the nearest one million?\nAnswer: 23000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3791001?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 257808413 to the nearest integer?\nAnswer: 636","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*n + 0*n - 3*n + 2*n - 3*n + 2*n + (3*n - n + 0*n)*(-4 + 3 + 2) + n + 0*n + n)*(-2 + 2 - n).\nAnswer: 9*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 210555.\nAnswer: 3, 5, 4679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 106643 and 47?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 936183.5 kilometers in micrometers?\nAnswer: 936183500000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (12 - (-6 - (-27 + 8))).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.1 + 1. Let r = v - 5.9. Let z = r - -5. Which is bigger: 7 or z?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4263 and 11907.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 34 (b) -53 (c) -16 (d) -1\/7 (e) 3 (f) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2\/5))**(-18)*(k\/((k**(-3)\/k)\/k)*k)**(-6) assuming k is positive.\nAnswer: k**(-174\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.00449 + -0.00449. Which is the biggest value? (a) 1\/5 (b) -2\/137 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - 2 - 9 - (-16 + 12)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -x**5\/3 + 32*x**4\/3 - 352*x**3\/3 + 512*x**2 - 768*x = 0. What is x?\nAnswer: 0, 4, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y, 1 r, and 1 a when four letters picked without replacement from {y: 2, a: 1, r: 2}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-215)\/30 - -7)\/(1\/(-9)).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -104 + 833. List the prime factors of k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1782528.34 rounded to the nearest one hundred thousand?\nAnswer: 1800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -l*v*x**3 + l*v*x + 6*l*v + l*x**4 + l*x + 40*v*x**3 - 6*x**2 wrt x?\nAnswer: -6*l*v + 24*l*x + 240*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6.5 - 6.5. Which is the third smallest value? (a) -0.3 (b) x (c) 0.1 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3 - 2 - (-3 - -19)\/8. Let o(g) = 3*g**2 + 13*g + 12. Let x be o(d). Which is bigger: x or 12\/19?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, -1, 1\/5, 12, -5, -0.3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1535318046 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((2*c + 1 - 1)*(3 + 1 - 3) + 3*c - 11*c + 19*c)*(-4*c + 2*c + 4*c) to the form m*c + y + j*c**2 and give j.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 37335\/(-393)*(-2)\/19?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.529111 to 1 decimal place.\nAnswer: -4.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1306*m = 1309*m - 18 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*n + 3*n - n.\nAnswer: 19*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 130417\/6996 or 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1772626649 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*f**4 - 2*f**4 - 3*f**4 + (-67*f - 178*f + 84*f)*(9*f**3 + 0*f**3 + 13*f**3).\nAnswer: -3540*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 72\/42*19600\/(-756000).\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -737*c + 410. Is j(-3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (765\/(-324) + 2)\/(2\/(-22)) and -71\/30.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9641215*q**3 - 12*q**2 - 564423*q wrt q?\nAnswer: 57847290","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p*(p**1\/p)\/p*p)**(1\/13))**(-3) assuming p is positive.\nAnswer: p**(-6\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39115?\nAnswer: 5, 7823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 48606802\/7 > 6943828?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 66, 114, 192, 300, 438, 606?\nAnswer: 804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 43915 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 124852464 divided by -2024.\nAnswer: -61686","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 331 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-3)\/m)**(1\/27)\/((m*m*m\/(m*(m\/(m**8\/m))\/m))\/(m**24*m)) assuming m is positive.\nAnswer: m**(428\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -6, -850, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 42\/9 + 16\/(-24). Solve a*q + 13 + 3 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 421 + -417. What is the second derivative of -5 - 79 - 26*v**k - 11*v - 7*v**4 + 182*v**4 + 13*v wrt v?\nAnswer: 1788*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:07 AM and 6:06 PM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -75*a + 2080. Give r(24).\nAnswer: 280","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 5*v + 2 = -4*y, -3*y + 4*v + 20 = 0. What is the second derivative of -p + 3 + 4*p**2 - 7 + y wrt p?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -4*t - 10. Let y(d) be the first derivative of 5*d**2\/2 + 8*d + 29. Let o(m) = -4*s(m) - 3*y(m). Determine o(-11).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2799.3 millennia in centuries?\nAnswer: 27993","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -10*a - 8. Let d = 21783 + -21788. Let y(b) = 11*b + 9. Give d*y(q) - 6*u(q).\nAnswer: 5*q + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -61 + 100. Let d = 41 - z. What is the second biggest value in 3, d, -5, -2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3202352 to the power of 1\/3, to the nearest integer?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(72) + sqrt(72)*3)\/sqrt(12))\/sqrt(3) + 4)**2 + (sqrt(8)*-1 - sqrt(20)\/sqrt(1000)).\nAnswer: 299*sqrt(2)\/10 + 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.44937812 - 325.73179088. Let q = -0.805531 + r. Let x = -327 - q. Round x to 3 decimal places.\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -11488 smaller than -11487?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-18) + (-2425733913)\/(-783). What is z rounded to the nearest 10000?\nAnswer: 3100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 17\/13, 0, 1, 5, -2, -3 in decreasing order.\nAnswer: 5, 17\/13, 1, 0, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-27 - 2) + 12862 + -12819\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 1884\/30 + (-35 - 3320\/(-100))?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -4*(sqrt(1088) + 1) + -2 + -5 + -2*sqrt(17) + (sqrt(17) - sqrt(85)\/sqrt(5)*6))**2.\nAnswer: 1014*sqrt(17) + 26026","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-8)\/(-12) - (-93575)\/(-1866). Let n = -6\/311 + i. Find the common denominator of n and 35\/22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and 0.07752.\nAnswer: -0.3876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 5*c**2 - 14*c + 17. Let t(k) = -9*k**2 + 27*k - 33. Let p(u) = -11*o(u) - 6*t(u). Suppose 13*d = 8*d - 3*x - 59, -5*d - 4*x = 62. What is p(d)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 62\/799785 and -71\/65835.\nAnswer: 167155065","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -742 + 1275. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 157 - 154. Find the common denominator of (-139)\/((q - -44) + 7) and 65\/9.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7890687 and 1680.\nAnswer: 631254960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -549422, -1098847, -1648272, -2197697, -2747122, -3296547?\nAnswer: -3845972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 0)*(b + b + 0*b) + 677*b + 173*b + 696*b + 2*b + 2*b - 5*b.\nAnswer: 1547*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 4, 1\/6, 0.343, -2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 84007082 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**2 - 8*q - 23. Determine p(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -22? (a) -1\/8 (b) -3 (c) -2 (d) -144\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 2*l - 4*l - 34, -3*s - 107 = l. Let c be 8\/s - (-8)\/36. Is c equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 36 (b) -5 (c) -117\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 26 = 5*r, r + 2*r + 4*d = 22. Let f be (3 + r + -8)*-1. Which is the third smallest value? (a) f (b) -0.2 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.35251 - 0.3295909. What is s rounded to four decimal places?\nAnswer: 0.0229","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 11) to base 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 84*l + 15 - 2*l**2 - 84*l to the form m*l + y + x*l**2 and give y.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1543 + 1546.324. Let r = -2.59 + k. What is r rounded to 2 decimal places?\nAnswer: 0.73","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -17985 or -0.39?\nAnswer: -0.39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.6 - -520?\nAnswer: 522.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**3 - 5*p**2 + 24*p + 20. Let s be t(-9). Suppose -s = -20*c + 4*c. Solve b - c = -b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10529*g = 10490*g - 1287 for g.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -6*c**3 - c**2 - 22. Let a be v(-5). Suppose 0 = 5*h - a + 73. Does 15 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - 2 - -6 - -4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - -0.1. Let g = 61.1 - 57. Let m = g - r. What is the third biggest value in 2, m, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*o**2 + 3*o**2 - 4*o**2 - 57 - o**2 - o**2.\nAnswer: 3*o**2 - 57","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8305821.\nAnswer: 3, 41, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 50798, 101594, 152390, 203186, 253982?\n\"Answer: 50796*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1110815999.\nAnswer: 1110815999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -3*m + 14, 4*m - 12 = 2*m - 2*h. Suppose -4*c - t = -4, 3 = m*c + t - 3. Suppose n - 1 = 0, c*n + 14 = 2*q - 0*n. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t = 8 + 20, 202 = -55628*p + 55624*p - 13*t for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/1036*259*132\/(-21)\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 33392 - -22973. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.1 - 0. Let i = 9456\/7 + -1351. What is the third smallest value in d, -2\/5, i?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -23\/63 + 2\/9. Which is the closest to u? (a) -2\/17 (b) -2 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 4*v = -0*y - 376, 0 = 2*y + 4*v + 164. Let p = y - -232. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 608726 and 0.5?\nAnswer: 304363","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21432, 21356, 21268, 21162, 21032, 20872?\nAnswer: 20676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -4*o - 10. Let z(l) = -5*l - 11. Let i = 21601 + -21607. Give i*j(x) + 5*z(x).\nAnswer: -x + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 89737095.\nAnswer: 3, 5, 7, 19, 31, 1451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 107 and 1819.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1182, 2346, 3510, 4674, 5838?\nAnswer: 7002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 15\/10*12\/(-63)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.6 - -0.2. Let b = -5 + 3. What is the nearest to b in a, 0.1, 0?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 32, 96, -2 in decreasing order.\nAnswer: 96, 32, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8 by -403.\nAnswer: 8\/403","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vrvrwrvvwzrvzvwvs. What is prob of sequence vsv?\nAnswer: 7\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a*(a**(-3)*a)\/a)\/(a\/a**1))\/((a**1\/a)\/a**3)*((a**1)**(-9))**31 assuming a is positive.\nAnswer: a**(-277)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnsonnqoqbob. What is prob of picking 1 s and 1 o?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 512 divide 152859372?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c + 3*c - 6*c)*(0*c**4 + 3*c**4 - 2*c**4) + (-1729*c**2 - 208*c**2 + 415*c**2)*(c**3 + c**2 - c**2).\nAnswer: -1523*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 5*u + 152146 = 0, 5*u + 38041 = h + 4*u. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 38 and 17764202?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 2*f - 503 = -114, 307 = 4*w - 3*f. Let g = 69 - w. What is the biggest value in -0.05, 5, g?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -126, -112, -90, -60, -22?\n\"Answer: 4*p**2 + 2*p - 132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (6\/2)\/(3\/2). Let s be 1\/3 + (-267)\/(-9). Suppose -2*m + 20 = 5*o, 5*o + 0*m = -4*m + s. Solve -3*g - 12 = 3*n - 3, -o*g - n = u for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/4 (b) -32 (c) 257.99\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 556643358?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.413836 + 1.86.\nAnswer: -1.553836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 113191278059 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 70477 and 8195.\nAnswer: 1639","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 81 - 249. What are the prime factors of (-45)\/(-10)*q\/(-9)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -33 + -1. Find the common denominator of (-1 - 2) + x\/(-36) and 43\/14.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*u*v**3 + 15*u*v**2 + 19958*u*v + 59*u - 27*v**3 - 50*v**2 + 2*v wrt v.\nAnswer: 18*u*v + 30*u - 162*v - 100","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 618.197096 to the nearest ten.\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6660)\/(180\/(-87) - -2). Round f to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y + 2. Let l be g(0). Let q be 0*(-2)\/4 + l. Suppose q*v = 4*u + 2, u - 24 = -3*v - 0*u. What are the prime factors of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21.6 * 0.1\nAnswer: -2.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -906, -3621, -8140, -14457, -22566, -32461, -44136, -57585?\nAnswer: -72802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 12*r**2 + 10*r + 55. Let k be q(-6). What is the highest common divisor of 244 and k?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -207 and -12901 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = f + 20, -15 = n + f. What is the tens digit of 20052\/45 - ((-26)\/n + -3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*l - 33*l + 10 = -k, -3*l - k = -11. Let q(s) be the first derivative of -12 + 3\/2*s**2 - 1\/3*s**l + 0*s. What is the second derivative of q(m) wrt m?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4045313 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 5, a: 2}. What is prob of sequence avvv?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**3 + 185*w**2 - 944*w + 1142. Determine x(-190).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:42 PM and 1:57 AM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20067636?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, u: 1, k: 4, b: 3, j: 2, e: 3}. Give prob of picking 1 c and 1 u.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9433, -9422, -9405, -9382?\nAnswer: -9353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36 = -65*i + 63*i - u, i + 2*u = 12 for i.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 909127 divided by 2.\nAnswer: 909127\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -cb + -1?\nAnswer: -cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -89.1852*8.\nAnswer: -713.4816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 0 + 2 = 0. Suppose 0*r - x*r = 6. Let l be (-3)\/(-5)*(-2)\/(-6). What is the second smallest value in 5, r, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -2*b. Let p(n) = -22*n. Let z(x) = 68*l(x) - 6*p(x). Suppose 3*j - 40 = 5*r - 11, j + 5 = -2*r. Let c(g) = -j*g + 1151 - 1151. Determine z(c(s)).\nAnswer: 12*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 105, 211, 317, 423, 529?\n\"Answer: 106*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 3502775.\nAnswer: 1\/3502775","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let 35*v**2 - 6283960*v + 18851565 = 0. Calculate v.\nAnswer: 3, 1256771\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -237*t = -236*t - 1030. What is the remainder when t is divided by 69?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -27 + 29. Suppose 6 - 8 = -t*a. Suppose -1 = -w + a. Solve 2*d = g - 3*g - 4, -4*g + w*d = 26 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.4 + 1.6. What is the biggest value in -5, 6, z?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 48 - 49. Let a = -8.3 - -8. What is the closest to l in 2, a, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*r**3 + 152*r**3 - 108 + 108.\nAnswer: 155*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 313539 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -273 divided by 91\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -0*x + 12. Let z(p) = -6*p + 78. Let y(r) = 5*r - 67. Let m(f) = -7*y(f) - 6*z(f). Determine m(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 209270?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/66)\/(((-4)\/48*-6)\/2).\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -3*r + 114, -4*y - r = r + 78. Is 1292\/7 - 9\/y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.8 + 1.73. Let w = -40.93 + 42. Let g = w + o. Is 4 less than or equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1b475b (base 12) to base 10.\nAnswer: 484919","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*g*h**3 + 2*g*h**2*p + 2*g*h*p + 3*g*p - 18*h**3 + h*p + 4*p wrt h?\nAnswer: -12*g*h + 4*g*p - 108*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = p - j + 12, 71*j = 4*p + 76*j for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -194 in 5, 0.5, -3\/7, 17\/4, -2\/23?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 645 and 516?\nAnswer: 2580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -494, 1924, 5962, 11626, 18922?\n\"Answer: h**3 + 804*h**2 - h - 1298","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -30413.7 + 30414. Let h(m) = -m**3 + 4*m**2 + 3. Let n be h(4). Suppose 2*u + n + 1 = 0. Sort -4\/9, -4\/5, y, u in decreasing order.\nAnswer: y, -4\/9, -4\/5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the second derivative of r**6\/30 + 617*r**4\/12 - 7105*r**2\/2 + 6542*r - 1. What is the derivative of u(g) wrt g?\nAnswer: 4*g**3 + 1234*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-3 + sqrt(44))**2.\nAnswer: -12*sqrt(11) + 55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2324 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3273 + 3278. What is the nearest to 2\/9 in 2, -1\/5, 0.2, c?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 123 = 48. Let k be (2 - (35\/x - 1))*3. Solve 3*r - k*c + 4 = -1, -4*r - 4*c = 40 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mb when two letters picked without replacement from {m: 1, b: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) -22 (c) -5 (d) 115\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, 0.3, 3\/5, -0.4?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p + 2*p - p)*(-3 - 2*p**2 + 3) + p**3 + p**3 + 0*p**3 - 5*p**2 - 2*p**3 + 5*p**2 + (0*p**3 + 2*p**3 + 0*p**3)*(4 - 2 + 2) - 3 + 3 + 2*p**3.\nAnswer: 6*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*w - 2*w + 4*w)*(-w**3 + 2*w**2 - 2*w**2) - 21*w**3 - 10*w**3 - 4*w**4 + 3*w + 36*w**3 to f*w**4 + d*w**3 + a*w + n + l*w**2 and give d.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 13 in -0.3, 2, -2469, 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - 3*i = i + 1, 0 = -5*b + 5*i - 5 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -60 (b) -0.3 (c) -4 (d) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 76640687 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/(-14)*(-10)\/(-20)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 461 divide 3005259?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 1 - r**4 - 3 + 7 - 46*r**3 to the form v + o*r**2 + t*r**3 + s*r**4 + g*r and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28855974?\nAnswer: 2, 3, 7, 107, 6421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -17 + 27 + (3799 - (-3 + -2)) is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*w = 55 - 111 for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the second derivative of q**6\/60 - 43*q**5\/40 - 15*q**4\/8 + 43*q**3\/12 + 11*q**2 + 7*q + 852. Factor w(c).\nAnswer: (c - 44)*(c - 1)*(c + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = 4*d - r, 7665*r + 7 = 5*d + 7661*r for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(320\/(-70))\/(-8).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 + ((-2)\/8 - 89040\/(-64)). Suppose 0 = 5*p + 5*d - j, p + 15*d - 10*d - 278 = 0. 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 nearest to 1 in -0.6, 0.8, 14, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 10 = 5. Suppose l + 21010 = -0*l + 5*o, 5*o + 104990 = -f*l. Round l to the nearest ten thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(-8)*u**(1\/7))\/(u**(-1\/14)*u**(-3)))**45 assuming u is positive.\nAnswer: u**(-2385\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 241 divide 1438047?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2220?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1547000525 plus -4.7?\nAnswer: -1547000529.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 3318*d + 169223. Calculate h(-51).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**2 - 3*h - 3. Let w be i(-2). What is the units digit of w*((-10532)\/24 - 6\/36)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 893187205 to the nearest integer?\nAnswer: 29886","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -12812375101275 and -3.5?\nAnswer: 12812375101271.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**2 + 6*x + 4. Let d = 8 + -3. Let h = -6 + 10. Suppose h*a = -11 - d. What is q(a)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes after 6:25 PM?\nAnswer: 7:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/3, 2\/3, 0.3, 0.057, -53, -2, 63?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7563 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -8*g**3 + 2*g**2 - 3*g + 3. Let k(l) = 15*l**3 - 5*l**2 + 7*l - 8. Give -3*k(r) - 7*x(r).\nAnswer: 11*r**3 + r**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-34)\/(-33) - 1)\/1. Let a = 4\/11 - v. Factor 1\/3*x**3 + 0 - a*x + 0*x**2.\nAnswer: x*(x - 1)*(x + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-80)\/28 + (3 - 0))*4?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(190) - (((sqrt(190)*-2 - sqrt(190))*-1 - sqrt(190)) + sqrt(190) + sqrt(190)))\/(sqrt(10)*-2*-2 - sqrt(10)).\nAnswer: -sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 115, -6, 0 in decreasing order.\nAnswer: 115, 0, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -414\/7 or -58?\nAnswer: -58","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -895206340 + 895206340.872806434. Let m = 0.162806824 - f. Let r = 0.71 + m. Round r to 7 dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 98 and 49.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/6*(-6)\/(-4)*2\/1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6919551*x**2 - 3459735*x**2 - 3459819*x**2.\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and -651.\nAnswer: -2604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -6, 13*d - 12*d = -5*j + 398. What is the second derivative of -35 + 2*o - o - 51*o**3 + j - 17 wrt o?\nAnswer: -306*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 705.979843 and 0.03.\nAnswer: 706.009843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**3 - 5*d**2 - 10*d - 30. Is j(14) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.03328 - 0.13328. Sort 0.006, 0.2, v, 0 in descending order.\nAnswer: 0.2, 0.006, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 632819.\nAnswer: 11, 57529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-3)*105\/7. Let r = 6 - y. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55*f - 13*f - 11*f - 15*f.\nAnswer: 16*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the second derivative of -h**6\/6 + h**3 + h. Find the second derivative of v(b) wrt b.\nAnswer: -60*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -6*w + 7. Let h(v) = -v + 1. What is -14*h(j) + 2*y(j)?\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the first derivative of a**4\/4 - a**3\/3 - 6*a**2 + 5. Let m be j(4). Let l(q) = -q + m - 6 - 3. Determine l(-7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q - 74523*l + 30 = -74528*l, 21*l = 3*q - 126 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 67259693?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 5 = -2*r. Suppose -n = r*m - 3 + 11, 2*m = 3*n - 32. Solve -3*u + 14 = 5*l - n, -5*l + 18 = 2*u for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*z - 12*z - z + (3 - 2*z - 3)*(4 + 0 - 2))*(-9*z + 6*z + 2*z) to c*z + u*z**2 + b and give u.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 81\/440 and -193\/330.\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -21, 24, 228 in decreasing order.\nAnswer: 228, 24, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 2 l when four letters picked without replacement from {l: 1, q: 1, o: 5, s: 7}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -15*g**5 + 3*g**4 - 226*g**3 - 2*g**2 - 192*g + 122.\nAnswer: -900*g**2 + 72*g - 1356","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -3*b**4 + 34818*b**3 - 126530307*b**2 + 148010621640*b - 54212492881200 = 0.\nAnswer: 860, 4943","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*w, 5*h + 12*w - 6200 = 17*w. List the prime factors of h.\nAnswer: 17, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3755235?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**2 + 21*g - 22. Let i(r) = -r**2 - 22*r + 22. Let k(o) = -4*b(o) - 3*i(o). Let c be k(-19). Solve -5*m = -c - 22 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**2 + 9*g + 11. Let o be p(-8). Let v = 6 - o. Suppose -v*y - 2*y = 0. Is y != 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 136 = 2*p, 0*r + 5*p = r + 44. Let d = 37680\/11 - 3423. Calculate the common denominator of d and ((-20)\/r + 4)*-2.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/10 - (-403)\/260.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times 19.3?\nAnswer: 38.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -1612*h**3 + h**2 - 7*h. Let w(y) = 1075*y**3 - y**2 + 5*y. Calculate 5*b(t) + 7*w(t).\nAnswer: -535*t**3 - 2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from {q: 1, k: 10, p: 6, s: 2, g: 1}.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(1872) + 0 - sqrt(156)\/(1*sqrt(588) - sqrt(12)))**2 - (-4 + (sqrt(91)\/sqrt(112) - sqrt(312)\/sqrt(6))).\nAnswer: -263*sqrt(13)\/12 + 65713\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/(-15) + 24\/10. Let k be (-2*x\/4)\/2. Let q be (-104)\/20 + 30\/6. Which is smaller: k or q?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*i - 3*i + 3*i)*(i - 4*i**2 - i) + (2 - 2 - 2*i**2)*(17*i - 4 + 2 + 4)*(1 - 2 + 2).\nAnswer: -14*i**3 - 4*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -117*f*j**3 + 3*f + 5*j**4 + 516 with respect to j.\nAnswer: -351*f*j**2 + 20*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 54413056 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than -1421\/4217?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/27)\/((-1180)\/885)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 72 and 479840.\nAnswer: 4318560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 2, -50, 0.5, 5202 in descending order.\nAnswer: 5202, 2, 1, 0.5, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -7*p**2 + 4. Let v(x) = x**2. Let s(g) = -c(g) - 6*v(g). Let b(i) = i**3 - 4*i**2 - 5. Let u be b(5). Suppose 15*q + u = 20*q. What is s(q)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5318706?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/20)\/(10914\/14552)\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5141 = 4*b - 5*d, -1051 = 3*d - 1072. Calculate the remainder when b is divided by 42.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/592*(-24)\/(-30)*-20?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -67961100 rounded to the nearest one hundred thousand?\nAnswer: -68000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101000001111001001 - -10000001?\nAnswer: 101000010001001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -124.97 + 1.97. Let r = -123.19 - o. Which is the second biggest value? (a) 0.2 (b) r (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 26*k**3 - 8*k**2 - 8. Let l(j) = 9*j**3 - 3*j**2 - 3. Give 3*g(b) - 8*l(b).\nAnswer: 6*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 1258800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 18229 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the second derivative of -1\/6*q**3 - 9*q - 3*q**2 + 0. Let g be w(-10). Let x(u) = -u**2 + 3*u + 2. Give x(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2321 divide 4388336?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1266018 by 16231.\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 480114163 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Is 12336983 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36114 is divided by 2568?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.3, -1\/188871, -25?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14 - -22. Suppose 0 = -y - 4*t - 19 - i, 5*y + 230 = -5*t. Let u = y - -69. What are the prime factors of u?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-152)\/16 + 12)*(-1)\/(-5)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 75*n - 58*n - 17 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*1408.9.\nAnswer: 7044.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -4*h + 11159985, -h + 0*h = 2*o - 2789990. What is h rounded to the nearest 100000?\nAnswer: 2800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 115 divide 850617414?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -26815, -24147, -21479, -18811, -16143?\n\"Answer: 2668*r - 29483","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-33)\/2*(-12)\/9. Let q be 7\/(-21) + d\/30. What is the closest to 1\/3 in -2, q, 4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 362557 and 34736.\nAnswer: 5800912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -106, -20, 188, 578, 1210, 2144?\nAnswer: 3440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4906.06203 - 4906. Let i = r - 626.46203. Round i to the nearest 10.\nAnswer: -630","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21131212 (base 4) to base 12\nAnswer: 1a51a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 2*z**2 - 6*z + 3. Let i(x) = -6*x**2 + 25 - 27 + 0*x**2 + 5*x**2 + 5*x. Suppose 0 = 2*o + 6, 5*o + 6 = 5*r - 2*r. Determine r*i(f) - 2*w(f).\nAnswer: -f**2 - 3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4359, -17378, -39069, -69432, -108467, -156174?\nAnswer: -212553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 57 + -49. Let x be ((-14)\/k - -1)\/(6\/48). Let f = -4 + 0. What is the nearest to 1 in f, -5\/3, x?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(132)\/(sqrt(1452) - sqrt(1452)*2 - sqrt(12)).\nAnswer: -2 - sqrt(11)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8? (a) -1\/2 (b) -1\/3 (c) 4 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*f**2 - 28*f**2 - 49*f**2 + f - 8*f**2.\nAnswer: -82*f**2 + f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1396 from 0.3.\nAnswer: 1396.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 2*j**3 - 2418*j**2 + 421872*j + 853432 = 0.\nAnswer: -2, 214, 997","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -2*p**3 + 2*p**2 - 2*p - 5. Let d(g) = 6*g + 4 + 4*g**3 - 4*g - 2*g**3 - 2*g**2. Let q(v) = 5*d(v) + 4*l(v). Is q(2) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*y - 14*y - 74 = 0. Suppose 82 + y = 2*c. What are the prime factors of c?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39931 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0078145862 to four decimal places.\nAnswer: -0.0078","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4483 is divided by 618?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -485, -1005, -1563, -2159?\n\"Answer: -19*a**2 - 463*a - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -o**2 + 841*o - o**2 - o**2 - 841*o.\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 43104787?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + (3\/(-3) + -2 - -2).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the third derivative of 4*m**5\/15 - m**4\/6 - 7*m**3\/6 + 4*m**2. Suppose 14 - 4 = 2*n. Is g(n) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 476, 4228, 14440, 34352, 67204, 116236?\nAnswer: 184688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -2*s**3 - 24*s**2 + 14*s + 178. What is z(-13)?\nAnswer: 334","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 6 - 5*n)*(-2*n + 5*n - 5*n) + (-3*n + 3*n - 2*n)*(-2*n + 0*n + 3*n) + 59*n**2 - 32*n**2 + 125*n**2.\nAnswer: 160*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 7 + 33. Let q = s - 3. What are the prime factors of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u = 6250*t - 6247*t + 4, 0 = -u - t - 2 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggzzzggggzgggzgaagg. Give prob of sequence gzag.\nAnswer: 55\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5494789 a multiple of 500?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (-2 - 0) - (51 - 58).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3851476289 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 0.1 (b) 0.3 (c) -57 (d) 140 (e) 3\/8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**2 - 742412*n - 2969712.\nAnswer: 4*(n - 185607)*(n + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the second derivative of -9*f + 0 - 2\/27*f**3 + 1\/45*f**5 - 1\/135*f**6 + 1\/54*f**4 + 0*f**2. Solve h(l) = 0 for l.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/(-6)*(1 + 11). Let k(h) = -2*h - 5*h + 3*h + 16 - 3 - h. What is the tens digit of k(u)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -170 - -168. Suppose -3*v + 270 = 3*c - 6*v, 3*c + 4*v - 305 = 0. Calculate the remainder when c is divided by 291\/18 + h\/12.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*n**2 + n**2 + 2*n**2)*(5 - 3 - 3)*(1 + 1 + 1)*(-2 + 0 + 1).\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a kilogram in grams?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*b**4 - b**4 - 3*b**4)*(9 + 11 + 13*b - 21).\nAnswer: 13*b**5 - b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 r when two letters picked without replacement from frfu.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -27.5 - -0.5. Let t = 27.2 + y. Which is the closest to -1? (a) t (b) -2\/9 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 0 + 55*h + 2 - 59*h. Let s be i(1). Let n = 3 - s. Put -1, n, -10 in decreasing order.\nAnswer: n, -1, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.3 - -0.8. Suppose -k - 4*z = -z - 5, -3*k - z = -7. Put k, p, -0.01 in descending order.\nAnswer: k, p, -0.01","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**3 - 5*s - 5. Let z(g) = g**2 - g**2 - 4*g + 21 + g**3 - 25. Let d be (3 - 1) + 6\/(-24)*-8. Determine d*o(v) - 5*z(v).\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 - -10. Suppose 4*x = -w*z + 28529 + 4675, 3*z = 2*x - 16597. Round x to the nearest 1000.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = z + 3*s, 8*s - 18 = -5*z + 11*s for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1978 and 4.\nAnswer: 3956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the first derivative of -p**5\/5 - 2*p**2 + 2. What is the second derivative of a(y) wrt y?\nAnswer: -12*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/10 of a hour?\nAnswer: 1080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the second derivative of -d**6\/30 + 13*d**5\/20 + 5*d**3\/6 + 38*d. What is the second derivative of f(a) wrt a?\nAnswer: -12*a**2 + 78*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 32\/(4 + 0) + 2. Suppose -221 = -3*i - l*i. What is the remainder when 64 is divided by i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 - 1. Let v(p) = -p**3 + 4*p**2 - 3*p. Let q be v(s). Suppose q*z + 3 = z. Is z <= 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, m: 1, i: 2, w: 2, o: 1}. Give prob of sequence wioi.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*y - 325 = -58*y - 23*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 + 0)*(-2*l + 0 + 0)*(-3 - 5 + 2).\nAnswer: 48*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -173, -368, -701, -1178, -1805, -2588?\nAnswer: -3533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i and 1 b when four letters picked without replacement from bsbibiiii.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, k: 1, u: 1, j: 2}. Give prob of picking 1 j and 1 l.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times 70.9?\nAnswer: -21.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 348*w**2. Let n(u) = 350*u. Give t(n(x)).\nAnswer: 42630000*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -697 + 3212?\nAnswer: 2626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 1509*o**2. Let p(m) = -4*m. Give p(r(s)).\nAnswer: -6036*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve u = -114*u - 920 for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:53 PM and 10:20 AM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put together -4575.1723 and -138.\nAnswer: -4713.1723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 216341 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1878, -3815, -5750, -7683, -9614, -11543, -13470?\n\"Answer: u**2 - 1940*u + 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**0\/(j\/((j*j**(-6))\/j))*j**7*j**(2\/7) assuming j is positive.\nAnswer: j**(2\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k**3 - 48*k**2 - 2*k + 48 = 0. Calculate k.\nAnswer: -1, 1, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3904)\/(-3904))\/(1*(-2)\/42*-1)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes after 12:52 PM?\nAnswer: 6:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2405 or 2386?\nAnswer: 2405","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 666633*c**2*m*p - 2*c*m*p - m*p + 20*m - 233*p - 7 wrt c?\nAnswer: 1333266*c*m*p - 2*m*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:13 PM and 2:35 AM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10\/3 in 27, 2\/7, -0.045, 3, -5, 0.2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 100 + -1031?\nAnswer: -331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:44 AM and 2:03 PM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -71339575 divided by -535?\nAnswer: 133345","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c + 6 + 9. Let i be (c\/(-10))\/(2\/4). Let s be 22\/30 - i\/(-9). Sort -2, 2, s in increasing order.\nAnswer: -2, s, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 3) in base 7?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 186066028 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (530\/(-1484))\/((-110)\/8)?\nAnswer: 2\/77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 15*a - 4. Let y(t) = 99*t. Calculate s(y(k)).\nAnswer: 1485*k - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 205194812 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 18*h**3 - 5*h**2 + 5*h - 5. Let m(f) = -f**3 + f**2 - f + 1. Suppose -11 + 10 = z. Determine z*p(x) - 5*m(x).\nAnswer: -13*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*b + 35*b + 48*b - 3*b in the form z*b + w and give z.\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1928*a - 6 + 6.\nAnswer: 1928*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3216485 and 145?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3516 is divided by 1698.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 0*n + 10 = 0. Let s = -10404.4 + 10404. Which is the closest to s? (a) n (b) 4\/5 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 72, 141, 208, 273?\n\"Answer: -m**2 + 72*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**3 + 11*b**2 - 25*b + 22. What is h(-13)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -30*m**3 + 7*m**2 + 5*m + 1. Let z(g) = -30*g**3 + 8*g**2 + 6*g + 1. Let l = -18 + 23. Let t(w) = l*v(w) - 4*z(w). Is t(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(250)\/sqrt(5)*-4 - sqrt(50))**2.\nAnswer: 1250","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-96)\/(-18) - 5 - (-1064)\/(-6). Round q to the nearest 10.\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1962.\nAnswer: 2, 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 4*r - 16. Suppose -42 = -8*g - 6*g. Let k(q) = q**2 - 5*q + 6. Let s be k(g). Solve 3*j - j - r = s for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 75, 293, 657, 1167, 1823, 2625, 3573?\nAnswer: 4667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-1\/16)\/r*r*r**(-2\/13)\/r*r assuming r is positive.\nAnswer: r**(-45\/208)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.08000007 - 0.08. What is a rounded to 7 dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 495 less than -1291074584?\nAnswer: -1291075079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l - 4 + 1 = -2*i - 1, -3260 = -601*i + 137*i - 4*l for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - a = 3*a - 28, 0 = 3*c + 5*a - 23. Suppose -42 = -22*l + 8*l. What is the least common multiple of c and l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -45 (base 6) to base 5\nAnswer: -104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -2*m**3 - 15*m**2 - 6*m + 70. Calculate u(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -171, -57, 2 in increasing order.\nAnswer: -171, -57, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the third derivative of -169*a**8\/336 - 49*a**4\/8 - 40*a**2. Find the second derivative of w(y) wrt y.\nAnswer: -3380*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -105, -2\/3, -5, 21, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -851*y - 1560 - 12907 for y.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81391*d + 52668 = -82084*d for d.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.1 - -1.2. Let p = q + -0.1. Is 1 not equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*a**3*r**4 - 2*a**3 - 2*a**2*r**3 + 1238*a*r**2 - 360*r**4 wrt r?\nAnswer: 48*a**3*r - 12*a**2 - 8640*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 + 0*d + 0*d**2 + 0*d**3 - 11\/6*d**4 + 1\/6*d**5 = 0 for d.\nAnswer: 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**4 - 162*v**3 + 4046*v**2 - 30870*v + 68600.\nAnswer: 2*(v - 35)**2*(v - 7)*(v - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -3*k - 7*q, 10*q = 11*q - 4 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**3 + 53*j**2 - 109*j - 49. Let x be w(50). Let z = x - 830. What is the thousands digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1310 is divided by 1001.\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Convert -85d (base 16) to base 7.\nAnswer: -6146","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the second derivative of 5*w**4\/6 + 8*w. Let l(k) = 2*k. Determine l(t(h)).\nAnswer: 20*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5018.01 + 5018. What is the nearest to -1\/2 in -4\/7, -0.1, 0, r?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:03 PM and 10:35 AM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.5, 1, 67?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -1059*a - 1260236. What is x(-1190)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**3 + 9*x**2 - 7*x - 9. Let f(l) = -l**3 + l**2 - 2*l. Let s(y) = 2*f(y) - o(y). Determine s(-7).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t - 17357*g = -17403*g - 274, 0 = -4*t - 5*g + 19 for t.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 82 divide 44875?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5\/3999 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 176 divided by -11.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/42 and -121\/210?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -6698, -14308, -21918?\n\"Answer: -7610*p + 912","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13 by 4.\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 317499 is divided by 279.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -82 + 190 + -168 - (-13 + -1)?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 13346 and 13362 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/16 - (-19)\/4. Let o be 1 + 0 + 2 + 0. Sort -2, q, o in descending order.\nAnswer: q, o, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**3 + 52*h**2 + h - 50. Let f be m(52). Solve 5*s - 6*s = f for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(-3)*(1 + (-2 - 1)). What is the nearest to u in 0.4, -0.04, -0.2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 92 + -51. Calculate the remainder when 160 is divided by u.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3000.995709 rounded to the nearest 10?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(1\/3)\/(q**(1\/12)*q)*q*q*q**(1\/5)*(q\/(q*q**(18\/7))*q)\/q assuming q is positive.\nAnswer: q**(-157\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:08 AM and 5:12 AM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**2 + 5*w + 2. Let d be l(4). Let u be 9\/d*(-24)\/(-18). Solve -u*x = -8, 2*m + 2*x = -x + 22 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-1 - (-6 + 8 + (-194)\/(-56))) + 6 and 79\/488.\nAnswer: 3416","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the third derivative of -f**8\/126 - f**7\/63 + f**6\/60 + f**5\/18 + f**4\/36 + f**2 + 54*f. Determine l so that v(l) = 0.\nAnswer: -1, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/3 of a minute in seconds?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 617684 to the power of 1\/3, to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 78 and 210.\nAnswer: 2730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + 3*c - 61 = 8*u, 3*u + u = -0*c + 6*c - 202 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1.5658 and -0.08?\nAnswer: 1.4858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110000 + 1100001001110001?\nAnswer: 1100001001000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -583*a*c + 126420*a - 723*c wrt c.\nAnswer: -583*a - 723","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u**2 - 5*u + 5*u)*(10254*u - 6 - 10254*u - u**2).\nAnswer: u**4 + 6*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37913277?\nAnswer: 3, 12637759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((61480\/1749)\/(-58))\/(1\/(45\/(-20))).\nAnswer: 15\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d + d + 8. Suppose 19 = d*x + 3. Solve 6*w - 4*w - 10 = x*m, 3*m = -w - 10 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12*20\/24*(-16)\/(-40).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*m - 3*w + 15, -2906*w - 9 = -m - 2911*w for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 9.476917 from -23.\nAnswer: -32.476917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.7622104l?\nAnswer: 762.2104","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (15\/6)\/(2 - -3). What is the nearest to 3 in k, 2\/9, 2\/5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49081679 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 795000 and 400.\nAnswer: 1590000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 54703241 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2144738 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 + 100000011110100101?\nAnswer: 100000011110100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -4*x + 15. Suppose 5*c = 8 + 2. Find the third derivative of c*g**3 + g**2 - 7*g**2 - 2*g**3 + 4*g**x wrt g.\nAnswer: 240*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/(-9) + 11\/3. Suppose -5*v = -c + m*c + 4, -5*c - 10 = 5*v. Let z(f) = 427*f + 21773. Let l be z(-51). Sort -5, v, -3, l in decreasing order.\nAnswer: v, -3, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -1764*b - 4*b**2 + 7*b**2 + 1764*b. Let i(t) = -5*t + 117. Determine h(i(k)).\nAnswer: 75*k**2 - 3510*k + 41067","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.5 or -189?\nAnswer: -189","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -1606*c**4 - 2*c**2 - 3*c**2 + 1607*c**4 + 7*c**2 - 28 as d*c + p*c**3 + n + l*c**2 + s*c**4 and give n.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8.01403792 - -4.31403845. Let y = x + 3.7. What is y rounded to 7 dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -1200*d + 15. Let f be v(-1). Suppose 24*t - 33*t = -f. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6\/13? (a) 3\/1121 (b) -1\/7 (c) -4 (d) -3 (e) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*p = -23*p + 1053. What is the least common multiple of 27 and p?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11001011001011110110101 + -11111?\nAnswer: -11001011001011111010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 8 = -5*s. Suppose -2*i = -8, -o - s*i + 6 = -5. Suppose -112 = -o*n - c + 63, 0 = -c - 2. Is n a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2241257?\nAnswer: 71, 31567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2903212 - -2903212.5000004. Let w = -0.5 + j. Round w to seven decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 273*b - 5434 = 5213. Calculate the remainder when 198 is divided by b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66 = 10*g + 4*l, -190*l = -188*l - 8 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 8) to base 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z**(2\/13)*z)\/z)**(-14\/3)\/((z*(z**(-25)\/z*z)\/z*z)\/(z*z*z\/((z\/(z\/(z**(-1\/3)\/z)))\/z))))**(-20) assuming z is positive.\nAnswer: z**(-18680\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is m in m**2\/9 + 9556*m\/9 + 9553\/3 = 0?\nAnswer: -9553, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-120 + 110)*-1*(0 - -1). Let g(n) = 624*n - 77. Is g(a) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 3*f - 52 = 4*f + 5*c, -122*f + 121*f + 4 = c for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.999942 + 3. Round n to five dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -434 - -436 - (-1 + 5) - (-5 + 10).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 584 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 104 = -2*c - 2*j + 110, -5*j = 4*c - 13 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*o*(o**14\/o)\/o*o**(-1\/28) assuming o is positive.\nAnswer: o**(391\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2990\/65*(24\/(-16))\/3?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10.1 - 10.6. Let j = -0.3 + 0. Let a = -16 - -10. What is the nearest to 0 in a, j, i?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 320, 305, 290?\nAnswer: 275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the second derivative of d**3 - 12*d**2 + 9*d. What are the prime factors of w(11)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1\/3)\/f)**(-41)\/(f*(f**6*f)\/f*f*f**7)*(f\/(f*f**0)*f*f)**(-3)\/((f**1*f)\/f**(-5)) assuming f is positive.\nAnswer: f**(80\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + -5. Let s = z + 6. Let r = -67 + 65. What is the second biggest value in r, -3, s?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2 - (-1 - 12)) + (3 - 0). Let u be (-216)\/(-22) + (-16)\/(-88). Suppose 15*m = 16*m - u. Solve 0 = 5*j + 2*y + d, 3*j + 3*y = 4*j - m for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 340.53 - 11.83. Let h = 383.72 - v. Let q = 58 - h. What is q rounded to one decimal place?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(2\/27)\/(n*n\/n**(-34)))\/(n**(-1\/5)*(n*n\/(n\/(((n*n**(-14)\/n)\/n)\/n))*n)\/n*n) assuming n is positive.\nAnswer: n**(-2933\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 - 150\/16)\/(20 + 8\/(-16)).\nAnswer: -1\/52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 249*q**2. Let k(f) = 2*f**2. Give n(k(a)).\nAnswer: 996*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 3*z**3 - 33*z + 28*z + 0 to the form x*z**2 + s*z**3 + n + j*z and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - z + 106 = 0, 0 = -5*z - 2 + 7. What is the common denominator of -25\/9 and b\/(-6)*(-21)\/28?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.742 + 2.742. What is the closest to 3 in x, -2\/19, -11, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13910.57 + -13824. Let d = 99.809 - n. Let o = 0.039 - d. Round o to the nearest integer.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25785 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -42 (base 7) in base 2?\nAnswer: -11110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 4*z - 7 = 5, 5*z + 15 = 4*r. Suppose -2*q - 2*n + 12 = r, 5*n + 0*n + 42 = 3*q. What is the remainder when 17 is divided by q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -63*q**2. Let m(s) = 4*s**2. Give -3*i(x) - 49*m(x).\nAnswer: -7*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**3 + 7*v**2 + 11*v - 10. Let g be z(8). Suppose -32 = -4*x - 5*l, 7*l - g = 2*x + 2*l. Determine q so that 2*q + 1\/6*q**x + 4\/3 + q**2 = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the second derivative of -53*z**3\/3 + 24*z. Let w(x) = 2*x. What is u(w(c))?\nAnswer: -212*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 12*a**3 + 5*a**2 - 3*a - 2. Is u(3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 417 to the power of 1\/2, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*n + 27*n = 3140. List the prime factors of n.\nAnswer: 2, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -206*y + 6311. Let v(s) = 95*s - 3156. Determine 6*r(w) + 13*v(w).\nAnswer: -w - 3162","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**2 - 3*g - 28. Let x be d(7). Let f(p) = p**2 - 2*p + 77. Let i be f(x). Suppose -343 = -3*z + i. What are the prime factors of z?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes after 12:42 PM?\nAnswer: 1:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*l - 690 = -1458. Let s(q) = 8*q**3 + 41*q - 8*q - 19*q**2 - 6*q**2 + 16. Let h be s(l). Round h to the nearest ten thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11303454994830 - -0.4\nAnswer: -11303454994829.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4676 + -2957. What is the smallest common multiple of t and 1719?\nAnswer: 1719","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30.91047 take away 0.089?\nAnswer: 30.82147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3 - ((-6)\/33 - 806050\/(-440)). Is -1835 less than or equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 24 and 888?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -199, -1498, -5001, -11806, -23011, -39714?\nAnswer: -63013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 582059990 = -3*a, 0 = -a + 4*u - 173096589 - 20923391. Round a to the nearest 1000000.\nAnswer: -194000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -3*b + 2 + 3*b**2 + 2 - 2*b**2. Let n be v(3). Solve 4*z = -n*x + 32, -x + 7*z - 7 = 3*z for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*v**2 - 3*v**2 + v**2 + 3*v**2 to c*v**2 + a + f*v and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 15*z - 11. Let s(o) = 18*o - 11. Let d(p) = 3*f(p) - 2*s(p). Let l be 276\/27 - 2\/9. Is d(l) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -119240*k**2*q**3 - 357*k**2*q**2 - 10*k**2*q - 2*k**2 + 31*k*q**3 + 2 wrt q?\nAnswer: -715440*k**2 + 186*k","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 7 - 3 = 0. Solve 5*q + 3*v - 40 = -15, -u*q + 15 = v for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, 99, -0.1, -5, 6?\nAnswer: 99","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:30 PM and 3:30 AM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -z - 25 - 4*z**2 + 26 + 2*z**2 in the form y*z**2 + u*z + p and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4097143899 to the nearest integer?\nAnswer: 1600","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 15\/(-1) - (50 - 127 - -70)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 151 + -149. What is the smallest value in v, 1, -176?\nAnswer: -176","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16360032 is divided by 5453343.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:24 AM and 7:07 AM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**2 + 3*f - 15. Calculate the remainder when x(-9) is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 4.5 and 822203487.\nAnswer: 822203491.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -154945\nAnswer: 3\/154945","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -962 + 3?\nAnswer: -959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 0*d - 3*d - 89 = 0, 5*x - d = 103. Suppose 0 = -3*f + f + x. Calculate the remainder when f is divided by 4\/(-2) + (-2 - -8).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10137 to the power of 1\/2, to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the second derivative of q**4 - q**3\/2 - 2*q**2 - q. Is p(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - c + 34 = 0, 4*p - 214 = -c - 60. Solve -111 - 129 = p*t for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5115?\nAnswer: 3, 5, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7.2, -1.2, -1 in decreasing order.\nAnswer: 7.2, -1, -1.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3466 + z - 6900 + 3492)*(1 - 4 + 1).\nAnswer: -2*z - 116","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a litre in millilitres?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -754 greater than -749?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from njnjnjjnjjjn. What is prob of picking 1 j and 2 n?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/6*(-4 + 4). Let v(w) be the third derivative of c + 1\/24*w**4 - 1\/6*w**3 + w**2 + 0*w. What is the derivative of v(u) wrt u?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1458367.93 to the nearest 1000.\nAnswer: 1458000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**2 + 2*g + 2. Suppose 4*p + 65 = 5*p. Let y = p - 70. Let j(d) = d**2 + 2*d + 2. What is y*q(k) + 6*j(k)?\nAnswer: k**2 + 2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2682, -2681, -2680, -2679, -2678, -2677?\n\"Answer: y - 2683","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.4 (b) -0.003 (c) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 1 + 0 + 1 + 0\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-6) + 34\/6. What is the third derivative of 3*a**2 + a**v - 4*a**2 - 5*a**6 + 0*a**6 wrt a?\nAnswer: -480*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00090026 rounded to five dps?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6*(-24)\/(-112)*7.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the first derivative of 4 - 2*w + 15\/2*w**2. Differentiate v(h) with respect to h.\nAnswer: 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2301*o + 12 + 12 - 29 + 5.\nAnswer: -2301*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1755056856 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**3 - 11*x**2 - 2*x + 9. Let c = -3010 + 2999. What is z(c)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in n + 3*n - n + 2*n.\nAnswer: 5*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + 25 - -21) + -126 - (2 - 2)?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 19122 and 14100?\nAnswer: 44936700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 + -3 + -16 - (31 - 7).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.25 + -0.25. Sort j, 1, 2.5 in descending order.\nAnswer: 2.5, j, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -596 = -170*a - 64 + 148. Suppose 5*o - 3*l + 35 = 0, 2 = 4*o + 3*l + 3. Let x be (5\/(-4))\/((-1)\/o). Put -4, 5, x, a in descending order.\nAnswer: 5, a, -4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the first derivative of -9*o**4\/4 - 3*o**3 + 11*o**2\/2 + 4*o - 20. Let g(w) = -5*w**3 - 5*w**2 + 6*w + 2. Give 6*b(v) - 11*g(v).\nAnswer: v**3 + v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -212 = -4*a - 4*k, 0 = 3*a + 15*k - 14*k - 149. Calculate the highest common divisor of 296 and a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 94 = 56. Suppose -p = -9*d + 6*d. Does 5 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (-10)\/55*-10?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the first derivative of 11*t**4\/12 + 415*t**3\/3 - 384*t**2 - 460*t\/3 - 1050. Factor r(y).\nAnswer: (y - 2)*(y + 115)*(11*y + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16129 (base 15) to base 10.\nAnswer: 71139","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -743 - 242448*g**2 + 2909 + 242447*g**2 to the form v*g + m + o*g**2 and give m.\nAnswer: 2166","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:32 AM and 4:24 PM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 107*d*u*y + 3*d*u - 2*d*y + 5*d + 38*u*y - 2*u + y + 186 wrt u.\nAnswer: 107*d*y + 3*d + 38*y - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40 (base 5) to base 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1220 = 6*c + 1256 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 945 divide 126220627?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3371\/5 + 671. Let a be (-2 - -14)\/3 - 2. Suppose -4*r = -m - 23, -r = m + a*r - 12. Which is bigger: m or d?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10645225 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56\/(-40)*4\/28.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 201, 34, -501.\nAnswer: -501, 34, 201","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (473\/258*36\/44)\/((-11)\/(-12))\nAnswer: 18\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**3 - 18783*x**2 - 28526832*x + 2753744448.\nAnswer: -3*(x - 91)*(x + 3176)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 15428 divided by 58?\nAnswer: 266","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -806360 > -806361?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(1\/3))**(-41))**28\/((w\/w**(1\/5)*w**(2\/7))\/(w**(-2\/5))**(-27)) assuming w is positive.\nAnswer: w**(-7832\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = -20*v + 9 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -2*j + 3240, -54*j + 50*j + 2160 = 2*v. Is 12 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-9)\/(-12))\/((-33)\/(-968)) + -2. Solve 5*h - 2*c = 6 - 9, 0 = 5*c - b for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 i when two letters picked without replacement from ripporr?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*l**(-4\/7)*(l**0\/l)\/l assuming l is positive.\nAnswer: l**(-11\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 7062643 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 27143 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -844*s**3 + 2907*s**2 - 29*s + 55. Let f(j) = 422*j**3 - 1453*j**2 + 16*j - 30. Let o(v) = 11*f(v) + 6*g(v). Find the third derivative of o(w) wrt w.\nAnswer: -2532","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 + -2. Suppose -51 = -5*k - 16. Suppose 1 = -m + j, -4*m - o*j + 30 - k = 0. Solve -m*i = i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -46, 2, 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 7*o - 5. Suppose -3*p = -17 + 2. Let z(n) = -8*n + 6. What is p*z(b) + 6*v(b)?\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 71663?\nAnswer: 71663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 12\/(-8)*(-56)\/2. Is (-1876)\/s*(-1 - (-4)\/(-2)) a multiple of 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/(-4) - (-6)\/(-8). Let u be r\/(-4) + (-4)\/16. Which is smaller: 2\/9 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6*-1*(-6)\/(-12).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 5*o - 15 = 0. Let w = 16\/11 - 153\/22. Which is the third biggest value? (a) o (b) -0.1 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i - 0*i + 8, -3*w + i + 25 = 0. Let h be (-6)\/w + (-14)\/6. What is the second biggest value in 1, -0.1, h?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -6) + 0 + 2 + -1?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9504343421 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l\/((l\/(((l\/l**(-2\/33))\/l)\/l))\/l)*l)**(18\/11)\/(l**(-12\/5)\/((l*l\/l**(1\/4))\/l)) assuming l is positive.\nAnswer: l**(15783\/2420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 455 and 294.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n**4 + 5 - 5)*(0*n + n + n)*(-5 + 13 + 2) + (-5*n + 0*n - 4*n)*(n**4 + n**4 - n**4) - n**5 - 3*n**5 - n**5 - n**3.\nAnswer: 26*n**5 - n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 324 (base 14) to base 10.\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*f + 7*f + 12 = 0. Suppose 4*k - 40 = -5*h, 18 = 16*k - 14*k + 3*h. Sort f, k, -3, -4 in descending order.\nAnswer: k, f, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes after 11:09 AM?\nAnswer: 7:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence op when two letters picked without replacement from {m: 2, o: 4, z: 1, p: 1, e: 1}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -20*n**2 + 12*n + 146. Calculate i(-3).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6796 is divided by 1350?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 8, -1088, 5, -2, -0.2?\nAnswer: -1088","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**2 - 5. Let f be n(5). Let p = -28 + f. Does 6 divide (-47)\/(-4) - 2\/p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -123956 times 0.002?\nAnswer: -247.912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes after 6:57 PM?\nAnswer: 4:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**2 + 115*b + 114.\nAnswer: (b + 1)*(b + 114)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -302033 (base 10) in base 13?\nAnswer: -a7624","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*f*u*x - 180*f*u*z**2 + 4*f*u - f + 3*x - 3*z**2 wrt u?\nAnswer: 2*f*x - 180*f*z**2 + 4*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 498 + -496. Which is the third smallest value? (a) -3 (b) -162 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 29*d + 804. Let s be a(-28). Let x(l) = l**2 + 6*l - 20. Give x(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3216 divided by -6\nAnswer: 536","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 46818, 46821, 46824, 46827, 46830?\nAnswer: 46833","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 277909 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 728 and 3128?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -134 - -385. Let a be (-3)\/15 - z\/(-5). Suppose 375 = 4*n - n. What is the greatest common divisor of n and a?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1031188 and 0.2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 114 = -s + 6*s + 2*a, a + 123 = 5*s. Let d(i) = -i**2 + 47*i + 60. Let t be d(47). Calculate the highest common divisor of t and s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10723 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -4*g. Suppose -x - 8 = -g*x - 4*w, -3*w = 2*x - 6. Suppose -5*r + b + 645 = -b, x = 3*r - 5*b - 406. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/15? (a) -0.2 (b) -0.4 (c) 0.5 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 - 1 = -5*r. Let n = 3812 - 3704. Suppose r*w - 5*w = -4*z - 146, -3*z + 3*w = n. Which is greater: z or -35?\nAnswer: -35","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -14*m**3 + m**2 + m - 1. Let g be v(-1). What is the third derivative of -2450*h**3 + 19*h**2 - g*h**4 + 2450*h**3 wrt h?\nAnswer: -312*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-924)\/7 - -2)\/(-2). Suppose -a = -25*s + 10. Suppose -3*c = c - 40. Solve 2*k - 10 = 0, 0 = -0*i - 5*i + s*k - c for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the first derivative of 2*a**6\/3 + 3*a**5\/5 - 79*a**3\/3 + 2*a + 49. What is the third derivative of t(i) wrt i?\nAnswer: 240*i**2 + 72*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26.1527 rounded to 1 dp?\nAnswer: 26.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + v = 36. Let i be 6\/v + 0 + 248\/84. Factor -60\/7*g**4 - i*g**2 + 0*g + 18\/7*g**5 + 8*g**3 + 0.\nAnswer: 2*g**2*(g - 2)*(3*g - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 303 and 10?\nAnswer: 3030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*x**4 - 3*x**4 + 0*x**4 + 16*x**4 - 46*x**4 - 9*x**4 + (0 + 2 - 3)*(4*x**4 - x**4 - 2*x**4).\nAnswer: -45*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the first derivative of -3\/7*d**7 + 0*d**6 + 0*d**5 + 0*d**4 + 3 + 0*d**2 + 0*d + 1\/3*d**3. What is the third derivative of v(l) wrt l?\nAnswer: -360*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*u**2 + 0 + 0*u - 7\/11*u**5 + 54\/11*u**3 - 17*u**4.\nAnswer: -u**3*(u + 27)*(7*u - 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o**5 - 5656*o**4\/5 + 47352*o**3\/5 - 107984*o**2\/5 + 77948*o\/5 - 2328 = 0. What is o?\nAnswer: -291, 1\/5, 1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 12 in 2\/5, 2, -6?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*m + 0*m + 2*m**3 + (2*m + m**2 - 2*m)*(0*m + 0*m + 2*m) + (6*m**2 + 28*m**2 + 7*m**2)*(-18*m + 22*m - 11*m) + 8*m**2 - 8*m**2 + 8*m**3.\nAnswer: -275*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 d, and 1 f when three letters picked without replacement from {r: 1, u: 1, f: 4, a: 7, v: 1, d: 5}?\nAnswer: 140\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.09 * -0.0096\nAnswer: -0.000864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -21*p + 9. Let h be 4\/(-22) - 258\/33. Let n(s) = -s**2 - 8*s - 11. Let z be n(h). Let k(r) = -11*r + 5. Let u(a) = z*k(a) + 6*f(a). Calculate u(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s = 2*n - 64, -29 = -2*n - 5*s - 100 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 30*p - 176. Let l be z(6). Solve l*d = -4*o + 24, 9*d - 20 = -5*o + 6*d for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.088 - -34.912. Let r = -29 + x. Let g = -4.96 - 0.04. What is the biggest value in -3, r, g?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -736 divided by -5.\nAnswer: 736\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*-162381.\nAnswer: 81190.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 - (30 + (-5776)\/114).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, g: 1, c: 1, i: 2}. Give prob of picking 1 n, 1 c, and 1 i.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q**5 + 20*q**4 + 1050*q**3 - 540*q**2 - 42525*q = 0. What is q?\nAnswer: -9, 0, 7, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -282231 times 291\nAnswer: -82129221","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1824*i + 1823*i - 34 = 0. Let v = -22 - i. Calculate the remainder when 213 is divided by v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -71232 + 2?\nAnswer: -71230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(((-7512)\/(-2191))\/((-16)\/(-14)))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-60)\/(-1)*11\/(2244\/(-153))?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*a + 22 = -16. Put a, 1, 3 in increasing order.\nAnswer: a, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the second derivative of l**5\/20 + l**4\/12 + l**3\/3 + 66*l**2 - 14*l. Let c(k) = -k**2 + 3*k - 2. Let i be c(2). What is the units digit of r(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 196 + -6074\/31. What is the smallest value in 2\/21, -2\/19, d?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -2*q**3 - 45*q**2 - 58*q - 23. Calculate k(-8).\nAnswer: -1415","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 99 a factor of 3173?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3794048 a multiple of 190?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 + -10011001011?\nAnswer: -10011001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the first derivative of -1\/3*g**3 + 3*g + 0*g**2 + 2. Find the first derivative of r(h) wrt h.\nAnswer: -2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1246?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**2 + 20*w + 6. Give m(7).\nAnswer: 195","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:58 AM and 4:31 PM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, -6, 3, -4.\nAnswer: -6, -5, -4, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:18 AM and 2:48 PM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 3 + 22801*o + 0.\nAnswer: 22801*o + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 - -219606?\nAnswer: 21960a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 99 is divided by 6\/(-18) + (-2)\/3 + 16.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1366?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(4\/5)\/c)\/c)\/(c**(-22\/7)\/c*c) assuming c is positive.\nAnswer: c**(68\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6, 2, -6, -18, -34?\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 66960 a multiple of 62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:07 AM and 6:14 PM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/(2 + (-1)\/2). Suppose -r*p + d - 3 = -19, -12 = -3*p - 5*d. Suppose -3*w + 8*w - 1500 = -5*s, -2*w = p*s - 590. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 879.7 from 0.6.\nAnswer: -879.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 174*b - 207*b + 396 for b.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 21230 (base 8) in base 10?\nAnswer: 8856","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 6*l - l. Let h = 325 + -270. Let j = 33 - h. Which is greater: l or j?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 4 = 4*n, 2*n - 5*a - 5 = -0. Does n = -4\/21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 10 = 0, 0*l = l - 2*v + 1089. What is the common denominator of (l\/(-312))\/((-2)\/(-4)) and 41\/9?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -51.7 + -301.3. Let y = a - -353.0146. Round y to 2 decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + -1 - 3) + 9 + -8?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 32\/12 + (-2)\/(-6). Suppose -4*x**2 + x - 2*x - 6*x**u + 3*x = 0. Calculate x.\nAnswer: -1, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 100 + -720. Let a = g - -974. Is 60 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the second derivative of u**4\/12 - u**3 - 3*u**2\/2 - u - 3. What is the tens digit of o(9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(3\/13)\/(p\/(p\/((p\/p**(-2\/7))\/p))))\/(p**(-11\/4)\/(((p*p**(-7))\/p)\/p)))**(-8\/11) assuming p is positive.\nAnswer: p**(3862\/1001)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}