diff --git "a/data/dm_maths/full_data/10707_11255.jsonl" "b/data/dm_maths/full_data/10707_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/10707_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let h = 71 + -40. What is the remainder when (276\/(-15))\/((-36)\/(-20) - 2) is divided by h?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -310510 from -1041173.\nAnswer: -730663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 147 - 42. Suppose t = -6*o - o. Round o to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*h + 62 = 17 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 23*s - 3*s**2 - 1 - s**3 - 23*s as b + u*s**3 + h*s**2 + f*s and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -12 + 12 + 11*u**2. What is the units digit of b(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*z = 5*f - 54, -3*z = -11*f - 16*f + 23*f + 20 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.543443 rounded to 1 decimal place?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*g**3 - 2*g + 11*g**3 + 6*g - g.\nAnswer: -16*g**3 + 3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 349, -0.032, 1\/7?\nAnswer: -0.032","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1058001435, -1058001437, -1058001441, -1058001447, -1058001455, -1058001465?\n\"Answer: -v**2 + v - 1058001435","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 4, -4, -10, 3 in decreasing order.\nAnswer: 5, 4, 3, -4, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1584 is divided by 1552.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 588 and 1666.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*p - 10*p - 77 = 0. What are the prime factors of p?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 31*s**4 - 16*s**4 - 4*s - 11*s**4 - s**3 in the form a*s**2 + r*s**4 + z*s**3 + i + c*s and give c.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1007543 to the power of 1\/3, to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 13, f: 3, d: 3}. Give prob of sequence ff.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -732864 divided by 176.\nAnswer: -4164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**3 - 9857*u**2 - 167310*u - 295200.\nAnswer: -(u + 2)*(u + 15)*(u + 9840)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-78)\/(-624))\/((-2)\/(-8)*-2)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 2*g**2 - 4. Let s be r(4). Find the third derivative of -s - 23*c**3 - 9*c**3 - 2*c**2 + 7 - c**4 - 9 wrt c.\nAnswer: -24*c - 192","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**3 - 31*q**2 - 100*q - 64. Let j be w(34). Solve -l + 6*p = j*p + 2, -5*p + 19 = l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 449940?\nAnswer: 2, 3, 5, 7499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = 2*g + 5, 2 + 1 = -b. What is the units digit of g\/5*35\/14?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4*(-3)\/(-15))\/((-9)\/15).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1.989 (b) 1\/4 (c) -1\/26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the third derivative of 2\/3*n**3 - 27*n**2 + 5\/24*n**4 + 26\/105*n**7 + 0*n**5 + 0 - n + 0*n**6. Find the second derivative of a(h) wrt h.\nAnswer: 624*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/11*50\/(-75).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3800, 7428, 11050, 14666?\nAnswer: 18276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*h - 3*h - 143 = 0. Let t = -8 + h. Solve 5*j - 24 = -0*j - 3*v, t*v - 30 = -5*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 26520 and 136?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*w + 5*w - w**2)*(4*w - 2*w - w) + (-4 + 4 - w)*(-w**2 + 3*w**2 - w**2) in the form i + f*w**3 + k*w + s*w**2 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(77) + sqrt(77) + sqrt(77))*1)\/(sqrt(33)\/(sqrt(3)*-2)) - ((-1 + sqrt(7) - sqrt(7))*6 + -4 + -5).\nAnswer: -6*sqrt(7) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 19 = -v, -5*m + 5*v + 18095 = 17940 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 193 = -7. Let l(c) = 2*c**3 + c**2 - 8*c + 9. Calculate the remainder when m is divided by l(2).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.01? (a) 27 (b) -5 (c) -6 (d) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**3 - 2*s**2 - 5*s - 4. Let w be g(-2). Suppose 0 = -2*r + 6 + 2. Suppose 10*a + 10 = 5*a, r*d + 3*a = w. Solve -d = 2*o + 1 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -713010 divided by -3.\nAnswer: 237670","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 5 = -z, w = 4*w - 4*z + 11. Suppose 12*g = 14*g - 4*i + 28, 2*g - 5*i + 33 = 0. Does 15 divide (g - w)\/((-12)\/188)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1862 + 8235. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -3*v**2 + 0*v**3 + 26 + 16*v**2 - 2*v**3 + 3*v**3 + 14*v. Let l be p(-12). Find the second derivative of 68*q - 135*q - q**l + 87*q wrt q.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**2 + q + 6. Suppose -1 = 2*l + 3, -5*l + 20 = -3*w. Let m be n(w). What is the highest common factor of 12 and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 8808?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -101, -159, -229, -317, -429, -571, -749, -969?\n\"Answer: -n**3 - 51*n - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -22799 * 4.21\nAnswer: -95983.79","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3420*x**2 - 1601 + 1601 - 2*x.\nAnswer: -3420*x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 8*o**2. Let u be (-3)\/(-1 + 22) - (-645)\/301. Let h(x) be the first derivative of 0*x - 10 - 1\/2*x**u. What is p(h(c))?\nAnswer: 8*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 8*n**3 - 5*n**2 - 7*n - 6. Let b(f) = -8*f**3 + 15*f**3 - 42*f**2 - 5 - 6*f + 38*f**2. What is -6*b(l) + 5*p(l)?\nAnswer: -2*l**3 - l**2 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1748 - 1228. What is the greatest common factor of r and 325?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -15, -121, -481, -1245, -2563, -4585?\n\"Answer: -25*s**3 + 23*s**2 - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**2 - 6*b + 6. Let m be k(3). Let y be ((-2)\/m*-39)\/(-1). Find z such that -2*z**3 - 4*z**2 - y + 2*z - z**4 + 4*z**4 + 27 = 0.\nAnswer: -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -30790139.\nAnswer: -1\/30790139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 32 = 20. Solve -4*d + 24 = t*w - 9*d, 4*w + 3*d = 3 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (192\/(-768))\/(35\/(-20))?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3\/6*1 + 1\/2 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (39820\/550 - 72)\/(54\/10)?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -107*m**2 - 2*m + 0*m + 126*m**2 to p*m**2 + b*m + q and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 - -4. Let r = n + 8. Suppose s + 4 - r = 0, 3*a - 1 = 4*s. Sort 5, a, 4.\nAnswer: a, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -74 or -60?\nAnswer: -74","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 99 = 3*n. Suppose 0 = -5*c - 3*u + n, 3 = c + 3*u - 8*u. Suppose -c*d = -15*d. Solve 6 = -2*w - d for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**3 - 5*a**2 + 11*a + 61. Let u be k(-5). Solve 0 = 2*c - 2 + u for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - i = -633, 2*u - 5*i = 4*u - 422. Suppose 5*m - u = y, m + 0*y = 3*y + 45. What is the remainder when 123 is divided by m?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5515831*v**4 + 79601017*v wrt v.\nAnswer: -66189972*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 908?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fff when three letters picked without replacement from {f: 4, m: 3}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 18 + -27. Let w = 5 + p. Suppose -3*x = 3, 2*i - x + 14 = -i. Put 1, i, w in ascending order.\nAnswer: i, w, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x + 2*j - 8, 2*x = -j + 6*j - 6. Solve -5*u + 5 = 2*z, 6*u = 4*u + 3*z + x for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5895 (base 12) to base 11\nAnswer: -7495","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 221 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -2*x**2 + 27*x + 3. Let i(v) = -6*v**2 + 81*v + 8. Let s(o) = 2*i(o) - 7*j(o). Calculate the remainder when 41 is divided by s(14).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000509 to seven dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1617 + -1597. What is the remainder when 55 is divided by u?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/4 of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 385.1 rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2 - -19) + -6 + 4. Solve -v - k = -18 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 times -5.61?\nAnswer: 129.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 135 + -135.000777. What is h rounded to four dps?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 - 2. Suppose -s*x - 12 = p - x, -3*x = 2*p + 21. Let d = -3 - 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: Let d(r) = -r - 1. Let y(s) = s + 4. Suppose 3*b - 6 = -3*b. Calculate b*y(v) + 3*d(v).\nAnswer: -2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*m**2 - 11503892*m + 9860484.\nAnswer: -(m + 1643414)*(7*m - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 858550.2 days to microseconds.\nAnswer: 74178737280000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**30*i*i**(-3\/8)\/i assuming i is positive.\nAnswer: i**(237\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22, 88, 198, 352, 550, 792?\nAnswer: 1078","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11.5 - 10.5. Suppose 4*m - 2*z = -0*z - 8, 4*z + 8 = -4*m. Which is the closest to j? (a) -1\/3 (b) m (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2\/3 - 4\/3*l**2 + 2\/3*l**4 + 14\/3*l**3 - 7\/3*l**5 - 7\/3*l = 0. Calculate l.\nAnswer: -1, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7752146 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c - 3*w = 6, -c - 19*w + 31*w = -6*c + 13*w - 4 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.3 (b) 33 (c) 1.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -6*((-28)\/(-56))\/(1*-1). Which is bigger: t or 32\/15?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (17 + (3 - 9) - (9 + -17 - 24)) + 8\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5468126?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/(-360) + 5028*(-12)\/(-3240) + -18?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -10873*n**3*o - n**3 - 106*n**2 + 5414*n*o**2 - 1473*n + 62 wrt o?\nAnswer: -10873*n**3 + 10828*n*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 73*u - 77*u + 2*o + 360, 5*o = u - 108. What is the remainder when 702 is divided by u?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1700321477 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1424\/34 - (-26)\/221 and (-60)\/(-18) + (-2)\/6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -30 (base 6) to base 9.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/g**(2\/15))\/g)\/g**6)\/((g*g**(4\/3))\/g**9) assuming g is positive.\nAnswer: g**(8\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4.5 + 14. Let z = -53.5 + h. Let l = 43.9918 + z. What is l rounded 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 -1 in -1\/8, -31612, 0, 0.02?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14075\/8 + 1759. Which is smaller: -10 or p?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5945.88226 + 0.18226. What is r rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -37 - 47*n**2 + 14*n + 24*n**2 + 79*n**2. Is d(6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 266, -0.1669, 4 in decreasing order.\nAnswer: 266, 4, -0.1669","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4250 = 8*h - 10290. What are the prime factors of h?\nAnswer: 5, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 4*((sqrt(468) - (0 + sqrt(468))) + 1) + 1 + ((sqrt(468) + -2 - sqrt(468))*2)**2 + 4*(-2*sqrt(468) - sqrt(468)).\nAnswer: -72*sqrt(13) + 26","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j**3 + 5805*j**2 + 3744225*j + 805008375 = 0.\nAnswer: -645","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -2*j - 5. Suppose 6 = -6*s - 0*s. Let o be x(s). What is the common denominator of o + -42*(-15)\/100 and -79\/80?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 5*o = 25, -5*g - 2*o + 42 = 10. Let i be (g\/5)\/((-2)\/10). Let b(d) = -d - 1. What are the prime factors of b(i)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 946047630 rounded to the nearest one hundred thousand?\nAnswer: 946000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 685011122 to the power of 1\/2, to the nearest integer?\nAnswer: 26173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -3ca56 (base 15) in base 4?\nAnswer: -233202102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the first derivative of 763*m**2 - 8452*m + 1131. Differentiate f(p) wrt p.\nAnswer: 1526","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 equal to 5923\/3943?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -13 (base 12) to base 11\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11590 and 1342.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -278.44 + 278.2. Do 32 and k have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 - 0. Let o be 4\/(0 + s) - -26. Calculate the greatest common factor of 4 and o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 544 is divided by ((-11)\/(11\/(-45)))\/((-6)\/(-36))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11680 and 148920?\nAnswer: 595680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -4 - (-386)\/(5 - 3). Let u = s - 186. Solve -8 = 2*p - q, u = -3*p - 2*q - 9 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -22684 and -0.2.\nAnswer: 4536.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 2 - 4)*(-3 + 1 - 6)*(0*d + 2*d - 4*d) in the form x + r*d and give r.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 9455*d + 248. Let k(c) = 191*c + 5. Let s(n) = 248*k(n) - 5*y(n). Let w(a) = 6*a**2. What is s(w(m))?\nAnswer: 558*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 168678086743 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-206)\/(-4) - (-10)\/20?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -67 - -99. Find w such that 5*w - 2 - 2 - 80*w**2 - u*w**3 - 39*w = 0.\nAnswer: -2, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-2))\/((-4)\/(-424)*53).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum 12 and 0.32.\nAnswer: 12.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 252*z - 118*z - 5*z**3 - 134*z - 3*z**3.\nAnswer: -8*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 22 and 1472?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -779678.9 - 0.5\nAnswer: -779679.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(832)*-1 + 4 - 2*(sqrt(832) + sqrt(832) + 0))**2.\nAnswer: -320*sqrt(13) + 20816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 2*f - 2. Let o(q) = q**3 - 3*q**2 + q. Let a(k) = k + 5. Let l be a(-3). Let r be o(l). Let h(y) = 5 - 8*y - 3 + 6*y. What is r*h(j) - 3*i(j)?\nAnswer: -2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.26 - 104?\nAnswer: -103.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:17 PM and 5:20 PM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8470 and 1855.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + (-1*sqrt(1088) + -4 + 0)*-2*3)*-6)**2.\nAnswer: 86400*sqrt(17) + 1432548","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9163532?\nAnswer: 2, 7, 83, 3943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k - 3*d + 1, 2*d - 41 = -5*k + 4. Suppose 2*t = 3*t - k. Let z = t + -4. Which is smaller: 2 or z?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.57 - -2.4. Let d = -0.148 + 0.033. Let f = l - d. What is f rounded to 2 decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13 is divided by 18\/(-153) - 688\/(-68).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**2 + 32. Suppose 0 = -9*r + 2*r. Is x(r) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*g - 22*g - g + (1 - g - 1)*(4 - 5 + 2) + 51 - 51 - 3*g + (1 + 1 - 1)*(-3*g + 0*g + 2*g) to the form x*g + a and give x.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*m**4 - 1 + 3 - 14*m**4)*(0 + 3 - 1)*(9*m + m - 8*m).\nAnswer: -12*m**5 + 8*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -153 - -265. Let l = 525.07 + -526.07. Is k greater than or equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a week in minutes?\nAnswer: 6048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 65*-2.\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3)\/5 + 958\/5 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zxxixix. Give prob of sequence xi.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * -0.07184322.\nAnswer: -0.07184322","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 364 and 650.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve v**4\/11 + 337*v**3\/11 - 1702*v**2\/11 + 2732*v\/11 - 1368\/11 = 0 for v.\nAnswer: -342, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:56 AM and 11:39 AM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 39 times 4135\nAnswer: 161265","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 500 (base 14) to base 9.\nAnswer: 1308","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 4*p - 1 + 12 = 0, 0 = -3*p + 3. Suppose -2 = -o*k + 3, -3643 = -4*f + k. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 2 - 0) + 4 + -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 10 = 0, c = 3*x - 5 - 2. Let u(m) = m**3 - 4*m**2 + 2*m + 3. Let i be u(x). Does 6 divide (i - -1)*(-3 - -9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 53\/5 of a microgram?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 79*f - 77*f - 28 - 4 to the form r + o*f and give r.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 13*g + 2. Let h(s) = -18*s - 39. Let p(v) = -v - 9. Let f(c) = h(c) - 4*p(c). What is -2*f(w) - 3*o(w)?\nAnswer: -11*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five sixths of a decade?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 14059 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3.272 or 396?\nAnswer: 396","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4440 and 1776.\nAnswer: 8880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 3*a + 2. Let c be h(0). Suppose -k + 3 + c = 3*z, 20 = 4*k + 4*z. Is 3 less than or equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**1)\/z*z)**(-11)\/(z\/(z**1\/z))**11*(z**6*z**0)**(4\/21) assuming z is positive.\nAnswer: z**(-69\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 28 and 126?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -198 + 563. List the prime factors of t.\nAnswer: 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -9041.4152 and 0.02.\nAnswer: -9041.3952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 3*p, -60*u - 8 = -55*u - 4*p for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/16 (b) -853.1 (c) -0.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5)\/1*(-2 + 1). Let u be -2 + 2 + 2 + 0. Suppose u*m - 1 = 6*m - a*n, 2*m - 17 = -n. Solve x + 3*g - m = -22, -28 = 4*x + 3*g for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-37 - -36)*7*(-58)\/(-14))\/(0 + -1).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -110111 (base 2) in base 12?\nAnswer: -47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 10, k: 4, q: 5}. What is prob of picking 2 p?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/4944 and 79\/11124?\nAnswer: 44496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, g: 1, t: 2, p: 1}. What is prob of picking 1 g and 1 p?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((20\/(-50))\/(1\/5))\/(-10)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7.1 - -1.1. Put -0.4, 2, b in descending order.\nAnswer: 2, -0.4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4744048714?\nAnswer: 2, 2372024357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2*(2 + (-5)\/2). Suppose 45*k + 8 = 49*k. Let q be (k + 471\/(-237))*-2. Which is smaller: x or q?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 186931 and 0.\nAnswer: 186931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2972039 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 11 and -16894.6.\nAnswer: -185840.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 260 and 1012102?\nAnswer: 10121020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 d when two letters picked without replacement from {z: 3, d: 7}.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 not equal to -85\/41?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 320\/14*(37024\/(-832) - (-82)\/2)\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is c4 + 60dc2?\nAnswer: 610a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the first derivative of -7 - 9*u**4 + 33\/2*u**2 + 1\/3*u**3 + 0*u. What is the second derivative of o(s) wrt s?\nAnswer: -216*s + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3548681 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/10 and 246\/210 - 3*1.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 220*f**2 - 5 wrt f.\nAnswer: 440*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 1074*i**2 - 15*i. Let j(p) = -114380*p**2 + 1596*p. What is -5*j(u) - 532*z(u)?\nAnswer: 532*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -2*c + 6*y + 282, 0 = 5*c - y - 660. Does 15 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 618?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3123 = 2*k - 4*k + t, -3*k = -3*t - 4689. Let v = 3374 - k. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9, 12, 59, 132, 231, 356, 507?\nAnswer: 684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 2*t + 2*m, t + 10 = 3*m - 8*m for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -568 + -53602383.\nAnswer: -53602951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-3)\/(12\/10))\/((-65)\/52). Suppose -3*o = -3*r + 114, -i*r - o = r - 110. What is the greatest common divisor of r and 1073?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y + i - 58394 = 0, 18*y - 21*y - 2*i + 25015 = 0. What are the prime factors of y?\nAnswer: 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + 1 + -24 + 72 + -87?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iuqidiim. Give prob of sequence qmqq.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1888 - -1885. What is the biggest value in 7.3, c, -1\/39?\nAnswer: 7.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 7522*p**3 - 7*p**2 - 43*p - 202. Let b be s(-18). Round b to the nearest 1000000.\nAnswer: -44000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/55? (a) -1\/2 (b) 3\/4 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.25904 - -0.04096. What is the second biggest value in 763, w, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*f**3*q + 2*f**3 - 2095170*f*q - 244431263*q wrt f?\nAnswer: 6*f**2*q + 6*f**2 - 2095170*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + ((sqrt(270) + -3*sqrt(270) + sqrt(270))\/sqrt(10))\/sqrt(9))**2 - (6*sqrt(216)\/sqrt(8) + -1).\nAnswer: -20*sqrt(3) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.02 - 0.02. Let i be ((-5)\/(-3) + -1)\/((-42)\/18). Suppose 0*v - 2*v = 2. Which is the third smallest value? (a) i (b) v (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 997307 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -22, -2, 277, 2\/3, -0.1 in increasing order.\nAnswer: -22, -5, -2, -0.1, 2\/3, 277","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -8269709 <= -8269708?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*r - 13 - 17. Let t be ((-25)\/2 - 2\/1)*-2. Let w = t + -51. Sort w, -1, r in increasing order.\nAnswer: w, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -4*y + 1493, 2*y - i + 4*i - 745 = 0. What are the prime factors of (y\/7)\/((-12)\/(-84))?\nAnswer: 2, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 195*w**2 - 120*w**2 - 364*w**2.\nAnswer: -289*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 561618281, -4, -2, 1 in decreasing order.\nAnswer: 561618281, 1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.23 - -0.07. Let v = -765 + 3061\/4. What is the smallest value in v, -4, p?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**3\/9 - 20249*n**2\/9 + 102535867*n\/9 - 102475129\/3.\nAnswer: (n - 10123)**2*(n - 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 1544?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 29.51 - 1799.51. Let z = -1777.67 - o. Round z to one decimal place.\nAnswer: -7.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2688260, -10753041, -24194342, -43012163, -67206504, -96777365, -131724746?\nAnswer: -172048647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16430?\nAnswer: 2, 5, 31, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(171)*2.\nAnswer: -18*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**2 - 14*m - 12. Let r be f(-10). Let x(k) = -128*k + 6. Let n be x(1). Let y = r - n. What are the prime factors of y?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(20) - (4*sqrt(320))**2 - (0 + 2*sqrt(720)).\nAnswer: -5120 - 22*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**3 - 34*q**2 - 67*q - 1147. Calculate x(-33).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/((-5)\/4*2106\/(-975)).\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(4*sqrt(637) - (-4*sqrt(13) + 3)).\nAnswer: -96*sqrt(13) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*s**3*u**3*y - 207*s**3*u*y - s**2*u**2*y**2 + 2*s**2*u**2*y - 6*s**2*y**2 + 105961*s*u**3*y**2 - u**2*y wrt u?\nAnswer: 12*s**3*y + 635766*s*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 - (1 - 1) - -3. Let b(z) = -z**2 + 4*z. Suppose 16*u = 35*u - 76. Let p be b(u). Solve -v*x = -p*x + 15 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 10*h - 48. Calculate the remainder when 173 is divided by q(7).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11377?\nAnswer: 31, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00123262 rounded to 5 decimal places?\nAnswer: -0.00123","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p + 3. Let f(y) = 3*y**2 + y + 1. Let a be f(-1). Let i be w(a). Solve 6 = -3*q - i*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 23952797?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 79*h - 221*h + 74*h + 71*h.\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the first derivative of -q**2\/2 - 3*q + 22. Determine j(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2a6 (base 15) to base 16.\nAnswer: -25e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 57 divided by 540103?\nAnswer: 57\/540103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1\/((-4 + 5)*((-46)\/22 - -2))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1844129 rounded to 1 decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -2*l. Suppose l = -3*s - 4 - 2, -2*n - 3*s = 10. Let t(c) = -3*c**3 - 4*c**2 - 3*c. Calculate the lowest common multiple of t(n) and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**3 + 8*n**2 + 10*n - 7. Let r be z(9). Suppose -28 + 12 = -p - 3*k, -p + 21 = -r*k. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**2 - 4*v + 3. Let c be s(2). Suppose -2*k - 169 + 159 = 0. Is 9 a factor of 970\/25 + c\/k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1061?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 3588?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the third derivative of 0*s + 1\/24*s**4 + 1\/6*s**3 - s**2 + 0. Let l = 7 - 5. Let y(w) = -w. What is l*h(i) + 3*y(i)?\nAnswer: -i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -60 + 150. Let t be c\/(-25) + 4 - (-123)\/5. Solve 3*l = -w + 6*l - 15, -5*l = 3*w - t for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -2*o. Let x(j) = -4446*j. What is x(a(k))?\nAnswer: 8892*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u - 5. Suppose -b - 30 = 4*b. What is r(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 24*q**4 - 476*q**3 - 3844*q**2 - 224*q + 3120 = 0.\nAnswer: -6, -1, 5\/6, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and 6.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 45.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -102 (base 11) in base 9?\nAnswer: -146","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((3*sqrt(84)*-1)\/sqrt(4))\/(sqrt(175) + (sqrt(175) - 2*-2*sqrt(175))))**2.\nAnswer: 3\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*h**2 - 71 + 71 - 3*h**2 - h**2 - 2*h**2 - h**2 + 2*h**2 - 2*h**2 + (-h**2 + h - h)*(-4 + 4 + 2) - 11*h**2 + h**2 - 7*h**2.\nAnswer: -16*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 101 + -105.48. Let h = t + 3.15. Let v = h - -1.32794. Round v to four dps.\nAnswer: -0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 4*t**2 - 158*t + 158*t. Let m(z) = 2*z**2 + 2*z**2 - 5*z**2. Determine m(l(x)).\nAnswer: -16*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88) + -2*sqrt(88)*1 + sqrt(88))\/(sqrt(72) + 1*sqrt(72)) + sqrt(44)*1 + 2*sqrt(704).\nAnswer: 18*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + b = 0. Suppose j - w - 12 = 0, 3*j + b*w - w = 40. Is 10 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 - 28)*(-2*z + z - z) + 159*z + 208*z + 239*z.\nAnswer: 664*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes before 6:42 AM?\nAnswer: 10:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.3 (b) -2 (c) 4 (d) 25 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -112 (base 4) to base 6\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 + 9. Let k(t) = t**3 - 10*t**2 + 8*t + 11. Let g be k(m). Suppose 5*d - g*i = 20, d - 5*i - 4 = -4*i. What is the highest common factor of d and 36?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6315*f**2 + 19676*f**2 - 31*f**3 - 6318*f**2 - 7043*f**2.\nAnswer: -31*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 35497504 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*o + 12*o = -2184. Let n(b) = -24*b**2 - 3*b + 2. Let c be n(2). Let z = c + o. Solve 3*l + 0*d - 21 = 3*d, d = -z*l + 13 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-1330)\/50)\/((-32)\/(-10) - 2) and 99\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:28 PM and 8:33 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000080854134 to seven dps.\nAnswer: -0.0000809","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -109, -107, -103, -97, -89, -79?\n\"Answer: c**2 - c - 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 1)*(-2*a**3 + 0*a**3 + 3*a**3) + 10*a - 10*a - 5*a**3.\nAnswer: -3*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 47 - 44.86. Let j = a + -2.14. What is the second smallest value in -12, -4, j, -0.3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 3*r - 8*r. Suppose -r*p + 220 = 2*p. Let o = p - 24. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23756498 to the power of 1\/2, to the nearest integer?\nAnswer: 4874","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -13, 0.07, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**2 - 2*h - 1. Let y be (-1)\/(((-2)\/3)\/2). Let i(o) be the second derivative of 1\/6*o**3 + 0 - 1\/12*o**4 + 19*o + 0*o**2. Give y*i(f) + 2*z(f).\nAnswer: -f**2 - f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4544 and 2134.\nAnswer: 4848448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 134 - 46 = 0. Let w = g + -26. Let f = -677 + 682. What is the remainder when w is divided by f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*c**2 + 24*c**3 - 4*c**2 + 1899*c - 1884*c in the form f*c**2 + a*c + y*c**3 + i and give f.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 19710866 divided by 2\nAnswer: 9855433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 636.709 - 637. Let w = 0.009 - t. Let d = -0.01 + -0.06. What is the biggest value in d, w, 0?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 486504.948 * 0.2\nAnswer: 97300.9896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 2*i + 2. Let a(p) be the second derivative of -p**4\/12 - p**3\/3 - p**2 - 1151*p - 1. Determine -5*a(u) - 6*k(u).\nAnswer: 5*u**2 - 2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 4, m: 3, u: 3, q: 1, d: 4, b: 5}. What is prob of sequence mbqb?\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express ((2 + 2 - 6)*(1 + 1 - 1) - 4 + 3 - 1)*(-2*c**2 - 3*c**2 + 3*c**2)*(2*c**2 - c + c) in the form r*c**2 + j*c + k + m*c**3 + x*c**4 and give x.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -20121210000 (base 3) in base 5?\nAnswer: -13132304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.3 - 0.09. Let u = b - 1.11. Which is greater: u or 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39397040 divided by -7879408.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -15*m - 1182. Let w be v(-80). Let h(i) be the third derivative of -w*i**2 - 3*i**3 + 0*i**4 + 1\/12*i**5 + 0 + 0*i. Differentiate h(p) wrt p.\nAnswer: 10*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4, 0, 1.\nAnswer: -5, 0, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*x**3 + x**3 - 12*x**3.\nAnswer: -17*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68*s + 5*z + 7417 = -66*s, 3*s - 11093 = z. Is 6 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3226281 - -29.52371.\nAnswer: 3226310.52371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**2 - 114*w + 369.\nAnswer: -3*(w - 3)*(w + 41)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 108*m**3 + 541*m**2 + 3*m - 8. What is b(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 97 = -98. Let k be (-56)\/(-26) + (-6)\/s. Let d be k\/6 + (-60)\/(-9). Solve 7 = 3*q - 4*z, 0 = -5*q - 0*z + 2*z + d for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 161*l + 0 - 2 - 156*l - 5*l**2 - l**3. Let i be x(-6). Suppose i*d + 2 = 38. Is 2 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 36\/(-63)*233\/(-9). Let t = -209\/9 + j. Find the common denominator of t and 17\/5.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*j - 4*j + 169 - 94 + 6*j + 187 in the form q + y*j and give q.\nAnswer: 262","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the second derivative of -10*h + 0*h**4 + 0 - 1\/3*h**6 + 31\/6*h**3 + 0*h**5 + 0*h**2. Find the second derivative of b(i) wrt i.\nAnswer: -120*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9043799 years in millennia?\nAnswer: 0.0009043799","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -23*t**3 + 8*t**2 + 8*t + 8. Let w(v) = -3 + 10*v - 5*v**2 - 15*v + 7*v**3 - 2 + 8*v**3. Determine -5*g(r) - 8*w(r).\nAnswer: -5*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/764 and 54\/11.\nAnswer: 8404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -6*i + 7. Let w(y) = -2*y + 2. Let d(u) = 2*k(u) - 7*w(u). Let s(p) be the first derivative of -17\/3*p**3 + 0*p + 0*p**2 - 142. What is d(s(j))?\nAnswer: -34*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**4\/5 - 44*x**3\/5 + 336*x**2\/5 - 1024*x\/5 + 1024\/5.\nAnswer: 2*(x - 8)**2*(x - 4)*(x - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2*5)\/(12 + (2139\/6)\/(-31))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 118518666?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x - 0*x - 40. Let o be (x\/(-10))\/((-2)\/5). Let n be ((-1)\/3)\/(o\/(-18)). Solve 2*l - 6*u = -u - 29, -n*l - 2*u = -4 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18831203 is divided by 18831200?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -2265573 at most as big as -2265588?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 45 - 55. Let o = y - -18. Let z(i) = -75*i**2 - 180*i - 60. Let n(u) = -25*u**2 - 60*u - 20. Let t(p) = o*n(p) - 3*z(p). Factor t(a).\nAnswer: 5*(a + 2)*(5*a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = 2*o - 7. Let p(c) = c**2 - 11*c - 12. Let z be p(14). Calculate the remainder when ((-20)\/z)\/((-4)\/426) is divided by o.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.3 - 0.3. Which is greater: c or -3\/10?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2464018822?\nAnswer: 2, 1232009411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 15393 a multiple of 150?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8.08944 - -0.04544. Let m = -0.044 - k. Let z = -0.14 + 0.04. Put m, -4, z in increasing order.\nAnswer: -4, z, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + -2 + 1 - (-2 - 0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, m: 1, l: 1, n: 1, j: 1}. Give prob of picking 1 z and 1 j.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 13 = -5. Let z(w) = 8*w**3 - 2*w**2 + 2*w + 4. Let o be z(d). Let q = o - 347. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3406217?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(64\/(-60))*(-6)\/9.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 109*w - 98. What is the tens digit of n(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7712330 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 3*r + 3 = 0. Suppose r*z - 13 = 4*j, -3*z - 5*j + 0 = -4. Solve y**z - y + 0*y**2 + 1\/2*y**4 - 1\/2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -247905*k**4 + 4*k**2 - 56190 wrt k.\nAnswer: -5949720*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 9 - 7 + 567*o - 43*o to y*o + g and give y.\nAnswer: 524","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*a**3*c**3 - 35529*a**3 + 6247*a**2*c**3 - 2*a**2 - 1655*a*c**3 + a*c**2 + 4792*c**2 wrt c?\nAnswer: -24*a**3 + 37482*a**2 - 9930*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i - a + 8, 4*i = 3*i + 3*a - 4. Suppose 35 = i*w - 35. Is 7 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*g + 101*g + 12*g + 79*g - 2 in the form k*g + j and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -438*j + 160 - 27*j**2 + 22*j**2 + 458*j = 0.\nAnswer: -4, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/3)\/(482\/(-24) - -20).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 51 + -48. What are the prime factors of (1*4\/r)\/(1\/12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide (-1)\/2*(-162 - -4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 237.1066 and 0.06?\nAnswer: 237.0466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y = -5*y - 3*x - 14, 2*y - 4*x = 16. Suppose 5*a - 993 - 304 = -y*b, -5*b = 4*a - 1043. List the prime factors of a.\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-662)\/(-18)*6)\/(1\/6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5697 - 5697 - 1051*p**2)*(-2*p + 2*p + p**2).\nAnswer: -1051*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 6898363 divided by -18?\nAnswer: -6898363\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -540\/7 - -77. Let g = 1459.6 + -1669. Let d = -209 - g. Which is the biggest value? (a) -4 (b) d (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01241907 rounded to 5 decimal places?\nAnswer: -0.01242","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 903623 to the power of 1\/5, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.017 + 0.217. Let w = 3 - 1. What is the third biggest value in -0.1, w, z?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7319 + 7318. Let o(d) = d**3 + 6*d**2 + 2*d + 5. Let w be o(-6). Put w, 7, -4, g in ascending order.\nAnswer: w, -4, g, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/9 (b) 3\/38269 (c) 9\/1379\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes after 6:46 AM?\nAnswer: 8:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/3)\/(6 - (-920)\/(-150))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -5, -13, 60?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1448b8 (base 13) to base 7\nAnswer: -4133364","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15457 - 23994. Let q = v + -463. What is q rounded to the nearest ten thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48941084?\nAnswer: 2, 37, 330683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f + 2 - 2)*(-4 + 3 + 3) - 5 - 2*f + 5 - 6 + 13*f + 6 + (1 + 1 + 0)*(2 - 2 + 2)*(5*f + 7 - 7).\nAnswer: 27*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 2*q**2 - 12*q - 12. Let m be i(-13). What is the hundreds digit of (m\/(-8) - 9\/(-12))*-2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 149947.922 to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(132) + sqrt(132)*-1)*-4)\/sqrt(6))\/(sqrt(275) + -5*sqrt(275)*-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -431*m + 767*m + 371*m + (5 + 2 - 4)*(m + m + 0*m).\nAnswer: 713*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -c + 12. Let i(g) = -7*g + 292. Let v be i(13). Let o be ((-195)\/12)\/(-13) - v\/(-12). Solve c*y = 2*u - y + o, -y + 18 = -5*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 83 + -84. Let x(u) = 7*u**2 + 9*u + 9. Let y(f) = 4*f**2 + 4*f + 4. Let g(j) = -2*x(j) + 5*y(j). Let p(m) = m + 1. Give z*g(l) + 2*p(l).\nAnswer: -6*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/7*392\/(-41664)*-31.\nAnswer: -5\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 17*x = 140. Let w(s) = -12*s + s**3 - 2*s**3 + 0*s**3 + 9*s**2 - 8. Calculate the smallest common multiple of 6 and w(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 317284 and 82236.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + 1. Suppose o = l*o + 2*g - 2, 2*g = -5*o - 4. Let c(p) = -p**3 - 2*p**2. Let n be c(o). What is n rounded to 5 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 43036292 to the nearest integer?\nAnswer: 350","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 != -91\/20395?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 4*y**3 + 4576*y**2 + 1688948*y + 202991768 = 0?\nAnswer: -518, -313","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w + 5*y + 33, 5*w + 21*y = 16*y - 15. Let n(l) = 1 - 20*l**3 + 5*l + 2*l**w - 3*l**2 + 0*l - 4*l. Calculate n(-1).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 7 = -4*j - 7, 4*j + 4*a = -16. Let i be 2 + 0 + j + 39. Let v = i + 3. Does 7 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 times 0.046?\nAnswer: 2.438","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 4*p - 18, 4*g = 5*p + 10 - 33. Let x(f) = -10*f**2 - 6*f + 40*f**2 - 21*f**2. Let b(q) = -5*q**2 + 3*q. Give p*x(z) + 5*b(z).\nAnswer: 2*z**2 - 3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1841395*a**5 + 827700*a**2?\nAnswer: 110483700*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (-4)\/(8\/10).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -930.76881 to one decimal place.\nAnswer: -930.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 75 from -23.835.\nAnswer: -98.835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10890 is divided by 50.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.03 * -0.5757\nAnswer: 0.017271","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the first derivative of 0*y + 1\/7*y**4 - 60 + 172\/21*y**3 + 0*y**2. Solve t(d) = 0.\nAnswer: -43, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 27*c + 15. Let i(x) be the third derivative of -7*x**4\/24 - 2*x**3\/3 - 6*x**2. Let m(b) = 15*i(b) + 4*v(b). Let y(t) = 3*t. What is y(m(w))?\nAnswer: 9*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve u = 4*o + 15, 3*u + 3 + 16 = -4*o for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 185 divide 57350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-1)\/(-4))\/((-91)\/14). Let c = a + 8\/39. Factor c*j**4 - 1\/3*j**2 + 0*j + 0*j**3 + 1\/6.\nAnswer: (j - 1)**2*(j + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the second derivative of -3\/2*n**2 - 5\/6*n**3 + 0 - 3*n. Let b(a) = -9*a - 5. What is -3*b(m) + 5*d(m)?\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**3 - 5*y**2 - 2*y - 6. Let c be m(-5). Let u(j) = j**2 - 542*j + 3781. Let p be u(7). Suppose r = -c*v + p, 2*v - 3 + 1 = 0. Does 16 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14698 = 2*r + 58*h - 53*h, -10 = 5*h. What is the tens digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 42332\/97 or 437?\nAnswer: 437","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 444064 and 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 11 = -2*n. Let o = 15 - n. What is the remainder when 26 is divided by o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 326 = -4*t, -3*w = -t - 568 + 64. Calculate the remainder when w is divided by 28.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in one tenth of a gram?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (68 + 55 - 71) + 26.\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 52317745 and 7554?\nAnswer: 1259","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 - -6. Calculate the remainder when 20\/(1 + -2)*i is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*n - 11*n + 50220. Suppose -3*z - n = -1884. What is the highest common factor of z and 488?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 203*p - 99*p = 108*p - l + 7, 8*p + 2*l = 13*p + 5 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**3 - 3*o**2 - 3*o + 4. Let p be x(-3). Calculate the highest common factor of 13 and p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the first derivative of 13*z**6\/30 + 5*z**3\/6 - 8*z + 2. Let a(s) be the first derivative of o(s). What is the second derivative of a(k) wrt k?\nAnswer: 156*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -220880000 rounded to the nearest 1000000?\nAnswer: -221000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 7*w - 232 = 0. Calculate the highest common factor of 58 and w.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 32079 to the nearest one hundred.\nAnswer: 32100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j + 6. Let t be d(4). Suppose 24 = -0*q + t*q. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -68, -130, -192, -254, -316, -378?\nAnswer: -440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c - 5 = x - 2*x, 2*x = 3*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000301 to seven dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 2 + 2)*(115*u**2 - 38*u**2 + 191*u**2).\nAnswer: -536*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -99, 61, 291, 573, 889, 1221?\nAnswer: 1551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 3\/5 (b) -4\/5 (c) -8\/55\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -34? (a) -2 (b) -0.3 (c) 344 (d) -0.19 (e) -2\/27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 248 and 1179945064.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a microgram in nanograms?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j + 1408 = 3*j. Let y = -126 + j. Solve 3*l + v + 0 - 11 = 0, y*v - 4 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 194 - 98. Is 32 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((9\/3 - 3)\/1)\/(-2). Let i(d) = -d**2 + d + 630. Let g be i(l). Suppose -8*p + p = -g. Does 18 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(136) + (sqrt(136)*1 - sqrt(136))))\/(sqrt(48)\/(sqrt(6)*3)).\nAnswer: 9*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 35140514 to the power of 1\/2, to the nearest integer?\nAnswer: 5928","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 249822622 and 98.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c - 11. Let g(w) be the second derivative of w**3\/6 - 5*w**2\/2 + 31*w. Let h be g(12). What is n(h)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42 = -14*q - 5*i, -129*q = -125*q - 5*i - 12 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10302330 (base 4) to base 14.\nAnswer: 7232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 962 - 10*i + 6*i + 6*i.\nAnswer: 2*i + 962","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (-2 - 1) - (2 + -1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*h + 30 - 105 = 0. Let n be -2*(-5)\/(-30) + h\/(-3). Sort n, -3, -6, -5 in increasing order.\nAnswer: -6, -5, -3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 429\/(-30) + 1918\/137?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 497469397 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 8988*v + 161796. What is m(-18)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 34 = h, -8*h + 6*h - 26 = -3*a. Solve -36 = a*c + 3*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6300)*3)\/(sqrt(9) - sqrt(36)*4) + 4.\nAnswer: -30*sqrt(7)\/7 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 4731227.7 to the nearest ten thousand.\nAnswer: 4730000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 65457?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -28\/95 and 33\/20?\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 34\/10 - 4\/10. Suppose 21*i + 11 = 53. Suppose 5*a - 119 = -i*m, 5*a - 123 = -r*m - m. What are the prime factors of a?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*w**(-23)*w\/w**(-23) assuming w is positive.\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 224 divided by 1\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -73*b + 663. Calculate z(7).\nAnswer: 152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 902 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -3a17 (base 14) in base 9?\nAnswer: -15007","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 18594.038 - 18612. Let m = 0.362 + b. Round m to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes before 7:51 PM?\nAnswer: 9:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least as big as 2\/23895?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -8, -3\/4, 1\/114, -0.5 in increasing order.\nAnswer: -8, -4, -3\/4, -0.5, 1\/114","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**2 + a - 1. Let b(r) = 6*r**2 + 6*r - 6. Let g(d) = -2*b(d) + 11*m(d). Let y(v) = 3*v**2 + 2*v. Determine 2*g(c) + y(c).\nAnswer: c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 12*k**2 + 291*k + 171. Let s be q(-24). Solve 2*h - 4 = -2*a, 101*h - 4 = 2*a + s*h for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 0*w**2 + 185 - 73 - w**2 - 4*w - 89. Let m(f) = -f**2 + 15*f + 9. Let r be m(16). Let c be g(r). Solve -c + 4 = -u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 106497963?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2\/17, 0.3, -679\/3 in ascending order.\nAnswer: -679\/3, -4, -2\/17, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 43711505 to the power of 1\/2, to the nearest integer?\nAnswer: 6611","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12 - 39. Which is bigger: o or -25?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -4*k + 14, 0 = -4*l + 2*l + 4*k + 16. Suppose t - 4*j = -t + 6, 4*t + 4*j = 12. Suppose -l = -t*w - 3. Is w >= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (32\/(-10))\/(-1 - 3897\/(-3915))?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -56954 + -0.12168.\nAnswer: -56954.12168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -5*z + 21. Give t(-10).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3596 + -1183. What are the prime factors of w?\nAnswer: 19, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 108*f**2 + 56*f + 243. What are the prime factors of k(-7)?\nAnswer: 37, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**2\/3 + 3766*n - 45224\/3.\nAnswer: 2*(n - 4)*(n + 5653)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -122*b + 235*b - 112*b. Let g(k) = 5*k**2 - 6*k. What is -g(t) - 3*n(t)?\nAnswer: -5*t**2 + 3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -47, -91, -135, -179?\nAnswer: -223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the third derivative of i**4\/4 - 3*i**3\/2 - 5*i**2. Is s(5) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.6 + -176.4. Let b = 174 + j. Let i = -5 - -4. What is the nearest to i in b, -3\/5, -4?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 6*n**2. Let u(l) = 129*l - 2. Give m(u(y)).\nAnswer: 99846*y**2 - 3096*y + 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p + 39*p = -64*p - 1122 for p.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15619?\nAnswer: 15619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -2*n + 35. Let j be q(16). Find s such that -20*s**2 - 6*s - 4 + 12 + 15*s**j + s + 2 = 0.\nAnswer: -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (65*a + 4484 - 2250 - 2245)*(2*a**3 + 3*a - 3*a).\nAnswer: 130*a**4 - 22*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 66976 divided by -224.\nAnswer: -299","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 17826101 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 4) to base 11\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -119 - 118 - 2*v**2 + 21*v + 236. Is y(7) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - (0 - 46) - (1 - (5 + -16))?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7)\/(-35))\/(3\/15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.015 + -0.905. Let s = -2.1 - l. What is s rounded to one dp?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 7 = d - 0, 4*d + 5*o + 8 = 0. Let a = d + 6. What is the remainder when 33 is divided by 150\/a + 3\/9?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xyyxyyxxxxyxxxxxxx. Give prob of picking 2 y and 1 x.\nAnswer: 65\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -8*o + 10. Let l(c) = 165*c - 198. Let m(j) = -99*i(j) - 5*l(j). Let x(k) be the second derivative of k**3\/3 - 2*k. Give x(m(s)).\nAnswer: -66*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 514?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 105824362 to the nearest integer?\nAnswer: 10287","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7788*m**2*z - 82*m*z - 2*z - 9 wrt m?\nAnswer: 15576*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8489641 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 334639 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**2 + 20. Let s be c(-8). Suppose 16*i + 3*i - 2793 = 0. What is the highest common divisor of s and i?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - -4) + (-4 - -26 - (57 + -70))?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (24\/(-18))\/((-6)\/9). Suppose -12 = -p*n - n. Suppose 5*t = 5*q - 10, -6*t + n*q = -t + 5. Solve 2*c - c = t*j - 9, -c + 2*j = 5 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.9 - -2.8. Which is the smallest value? (a) -3 (b) o (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 110 and 4750810?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4025 - 850 = 5*o. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 - (2 + 2 + -6) - -10?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-28)\/16*-8 + (-162)\/(-72)*196\/(-21)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 132.8 - 160. Let t = -27.4 - c. Put t, 1\/3, 3, 0.7 in decreasing order.\nAnswer: 3, 0.7, 1\/3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, t: 1, s: 6, m: 8, p: 1, q: 2}. What is prob of sequence tcmc?\nAnswer: 2\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 4*l + 6. Let c(u) = -4*u - 5. Let w(x) = -4*c(x) - 3*p(x). List the prime factors of w(5).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1209 - -1666. Is k at most as big as -1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (3 - 3) - -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -113 + 51. Let t = k - -74. Let b be 0*(-2)\/10 + (-3 - -8). Solve 4*f = 2*h - 9 - b, t = 4*h for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2246, -2163, -2082, -2003, -1926, -1851, -1778?\n\"Answer: -l**2 + 86*l - 2331","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 117\/26325290 and -68\/35?\nAnswer: 184277030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 119808 and 284193?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 83576441, 167152897, 250729355, 334305815, 417882277?\n\"Answer: l**2 + 83576453*l - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -13*z**3 + 87*z**2 - 415*z - 65. Let h(j) = -7*j**3 + 44*j**2 - 209*j - 32. Let l(n) = 11*h(n) - 6*y(n). Calculate l(32).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 4*u + 1 - 17, 5*u = -2*h + 6. Let z be -1*(-1)\/2*u. Is z <= 2\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = 3 + 1. Let a(u) = 17*u**3 - 6*u**2 + 5*u - 7. Let p(n) = 18*n**3 - 5*n**2 + 4*n - 6. Let l(y) = 5*a(y) - 6*p(y). Is l(w) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3647, 7283, 10859, 14345, 17711, 20927?\nAnswer: 23963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-1))\/((-5)\/5).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 204132 (base 6) to base 2\nAnswer: 100000001011000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 24\/(-156) + (-2)\/156?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -2*n**2 + 4*n. Let t be (15\/(-9))\/((-3)\/(-18)*-2). Let v(p) = 7 - p + t - 16 + 5. Determine i(z) + 2*v(z).\nAnswer: -2*z**2 + 2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 3*v + 44 = 0. What is the common denominator of -83\/8 and (4\/v)\/(10\/5)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/120340 and -77\/320.\nAnswer: 1925440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g = 3*z - 12, 3*z - 19*g + 21*g - 8 = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*m - 47239*m**2 + 4*m**3 + 47230*m**2 - 3*m**4 + 4*m**4 - 4*m**3 + 3 as z*m**4 + c + k*m**2 + q*m**3 + h*m and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 14 = -40*z + 35*z, -x = -4*z - 11 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 + -12200122101010112?\nAnswer: -12200122101010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 12 + 6*n - 5 - 6*n**2 + 7*n**2. What is the least common multiple of j(-6) and 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-45)\/((-3240)\/(-96))*(-9)\/12.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9b94a9 (base 12) to base 13.\nAnswer: -68c739","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -b0 + -430?\nAnswer: -4e0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*0.12.\nAnswer: 0.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 595367.\nAnswer: 37, 16091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*d - 3*d = d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -530 - -536. Let q be w\/(-1)*164\/(-246). Let m(b) = -b**2 + 2*b + 3. Determine m(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -242*x - 236. Let i be b(-1). Let r(f) = 2*f**2 - 7*f - 2. Determine r(i).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*w**2\/7 + 32*w\/7 + 64\/7.\nAnswer: 4*(w + 4)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13 + -18. Let y be (((-64)\/12)\/(-4))\/((-10)\/(-45)). Is 33 a factor of 2*2 - ((-144)\/y + k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13078\/590 - 2468\/(-72806) - 19\nAnswer: 16\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*-17)\/((-12)\/(-126)*861\/164).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 20*a**2 - 2*a - 1. Give o(-1).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in s**3 + 5095*s**2 - 5095*s**2.\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-15\/2)*v**7*(v**(-14))**(-1\/34) assuming v is positive.\nAnswer: v**(-3\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*h - 3*h - 232769 = -234225 for h.\nAnswer: 104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 9 = 2*w - 2*j, 4*w + 4*j + 16 = 0. What is the tens digit of (w + 1)*(39 + 7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/21*-3*315\/(-15)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(2736)*1 + 3 - (-1 + 2*sqrt(2736)))**2.\nAnswer: -96*sqrt(19) + 2753","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Total of -14.164 and -0.8.\nAnswer: -14.964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 10774 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-272)\/(-32))\/(32\/10) and 1\/44.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1252, 1238, 1224?\n\"Answer: -14*v + 1266","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5.2 + 5.4. Let a = 20 + -18.7. Let f = a + -0.3. Is d equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -2*a. Let x(s) = 7*s**2 - 4*s**2 - s**2. Give x(y(c)).\nAnswer: 8*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001 - -10111011110000000110?\nAnswer: 10111011101111111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1\/9*s**5 + s**4 + 1\/3*s**2 - 20\/9*s - 4\/3 + 19\/9*s**3 = 0. Calculate s.\nAnswer: -6, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 848 - 561. What is the tens digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 72225 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2805792*s**2*x**2 - 240491*s**2*x - 7*s**2 - 5*s*x**3 wrt x.\nAnswer: -5611584*s**2 - 30*s*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4588*l + 2666 wrt l?\nAnswer: -4588","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(896)*-4)\/((sqrt(56)*1)\/sqrt(7))*5 - (0 + (-3 + sqrt(567) + 0)*-2).\nAnswer: -62*sqrt(7) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 3 - -1 - -3 - -2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*o - 2665 = -17*o - 135*o - 689 for o.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeapehhppezza. Give prob of sequence pp.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(35) - (sqrt(35) - sqrt(70)\/sqrt(2)) - sqrt(35)))\/((sqrt(180) - sqrt(45))\/sqrt(9)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(((sqrt(1300) - (1 + sqrt(1300))) + 2 + (1*(sqrt(1300) + 5 - sqrt(1300)) - sqrt(1300)) + sqrt(1300))*-1 + 5)*3)**2.\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 17\/12? (a) 1\/19 (b) -2 (c) -9\/4 (d) 0 (e) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -32587*o + 32573*o + 3028*o**3 + 24 + 25 wrt o?\nAnswer: 18168*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = a + 12. Let l(d) = 5*d**2 + 1. Suppose 3*h + 12 = 0, -3*n = -7*n + h + 16. Let f(i) = 36*i - 1 - 4*i**2 - 36*i. Calculate a*f(v) + n*l(v).\nAnswer: -v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the second derivative of s**5\/30 + 11*s**4\/6 + 64*s**3\/3 + 260*s**2\/3 - 7*s + 334. Let z(x) = 0. Calculate x.\nAnswer: -26, -5, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-3) - 228\/(-54)*3. Suppose -d = 6*b - 36. Solve 3*s = 2*s - b for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -4 + (-50)\/(-12) - (-6115)\/30. Let j = -205 + v. Sort -2, 5, j, -9 in increasing order.\nAnswer: -9, -2, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38421333.\nAnswer: 3, 4269037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -2*r - 27. Let i be s(-22). Find the common denominator of (-15)\/(-20)*-1*i and ((-17)\/119)\/((-50)\/49).\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67322?\nAnswer: 2, 41, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-3)\/y**(2\/69)*(y*y**(4\/13))**(-7\/6) assuming y is positive.\nAnswer: y**(-8171\/1794)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1501382 is divided by 462?\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 5*z - 3*z = -10, 0 = -4*u + 4*z + 12. Suppose -5*f + 45 = 0, 99*n + 70 = 94*n + 5*f. Sort 11, u, n in descending order.\nAnswer: 11, u, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/(1\/(-4)*-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-162)\/12*2\/(-3). Suppose 702 = 22*n - p*n. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5087 is divided by 365?\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7\/6? (a) 1.2 (b) -12 (c) -143 (d) -3\/2 (e) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(39)\/(sqrt(27)*-2))**2.\nAnswer: 13\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.791 to one decimal place.\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10022 + 211110202221?\nAnswer: 211110122122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*t = -14*t + 45. Let q be ((-4)\/(-60)*12)\/(2\/t). Solve 11*w - q*w = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 70\/14*4\/(4\/(-19)). What are the prime factors of 266\/q*(826\/(-4) - 1)?\nAnswer: 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-8)\/(-12))\/(14\/147). Suppose -5*p = 3*b - 1690, -2*b + l*b = -4*p + 1365. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.00284 rounded to two decimal places?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1010110 (base 6) to base 11.\nAnswer: -33071","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((1508\/16965)\/(4\/(-30)))\/((-2)\/24)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 201*j - 1429. Determine o(7).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 18613823 + 0.2\nAnswer: 18613823.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 4 = -i, -2*y - 2*i - 16 = 2*i. Suppose 2 = 3*q + 17. Sort 2, y, q in decreasing order.\nAnswer: 2, y, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 91\/28 + (108\/(-6))\/6. Factor 5\/4*l**2 + 7\/4*l + u*l**3 + 3\/4.\nAnswer: (l + 1)**2*(l + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*t - 10*t = 18. What is the second biggest value in 2, t, -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 117 - 12. Suppose 4*p = -4*n + 604, -5*p + 6*n - 7*n + 751 = 0. Calculate the lowest common multiple of p and q.\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p**3 + 5366*p**2 + 1711590*p + 145930482 = 0 for p.\nAnswer: -2329, -177","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1965 a factor of 1456065?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*j**2 - 1464 + 714 - 58*j**2 + 750.\nAnswer: -98*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + (6 - 9) + -2 + 7?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 50 = -b + 21, -4*f = 5*b + 200. Let j = 85 + b. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.18291 to 1 decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gtt when three letters picked without replacement from bataggrtrggggggrgt?\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h + 18 = 5*z, -58*h + 50 + 8 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes after 6:35 AM?\nAnswer: 3:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (8\/6)\/(450\/(-135)). Let x be (2\/(-21))\/(2\/6). What is the second smallest value in x, w, -2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 167089 to the power of 1\/2, to the nearest integer?\nAnswer: 409","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -109 - -163. Let h = c - 38. Calculate the remainder when 29 is divided by h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 9, w: 11}. Give prob of picking 2 w and 1 f.\nAnswer: 33\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 8\/20 + 15\/(525\/2716). Calculate the greatest common divisor of p and 2067.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-nine quarters of a tonne in kilograms?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -2*t**2 + 12*t + 7. Let b(q) = q**2 - 11*q - 6. Let f(i) = 3*b(i) + 2*v(i). Let s = 5026 + -5034. Give f(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-7)\/21)\/(2\/42). Let c be -16 + -4 + -6 - -23. Sort 2, c, f in ascending order.\nAnswer: f, c, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100110000000 (base 2) in base 6?\nAnswer: 15132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 97, 191, 285, 379?\nAnswer: 473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -31 + 45. Suppose -o*b + 186 = -122. Is 11 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 9, o: 1, x: 6, e: 1, l: 2}. Give prob of picking 1 u and 2 l.\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**2 - 13*p + 14. Let v be s(12). Differentiate -3 - 2 + 0 + 3 - 8*b**v wrt b.\nAnswer: -16*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 2082.\nAnswer: 1\/2082","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/4 and -63\/238581440?\nAnswer: 238581440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + 3244 = -270*i, -3*y + 338 = -3*i + 305 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 2*h**3 - 3*h**2 - 3*h - 3. Let a be p(3). Let y(u) = -1007*u + 24453. Let d be y(24). What is the greatest common divisor of d and a?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 0*y + 4*y - 3 - y - 8*y**2 + y**3. Let a be l(8). Suppose 4*f + 5*k - 28 - a = 0, 5*f = -4*k + 50. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 80 and 336.\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.4 and -397.\nAnswer: -397.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 2*p**2. Let l = 5 - 2. Let x(v) = v + l*v - 4*v - 2*v**2. Calculate g(x(y)).\nAnswer: 8*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w - k - 6, 2 = -5*w - 5*k + 12. Suppose -29 = -w*y - 5*c, 2*c = 5*y - 3*y - 36. Factor 10*f**4 - y*f**2 + 58*f**5 + 2*f**4 + f**2 - 54*f**5.\nAnswer: 4*f**2*(f - 1)*(f + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the third derivative of -7*z**6\/120 + z**5\/12 - 2*z**3\/3 - 12*z**2. Let y(u) = u**3 - u**2 + 1. Determine -r(p) - 6*y(p).\nAnswer: p**3 + p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*c + 2*c - c)*(-88*c + 1 + 0 + 141*c) + 2*c**2 - 4*c**2 + 3*c**2 - c**2 - 3*c**2 - 2*c**2 as l*c**2 + k + b*c and give l.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 93491669, 93491670, 93491671, 93491672, 93491673, 93491674?\n\"Answer: j + 93491668","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 99 - 39 = -98*v + 113*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65500 is divided by 10906.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-40)\/16)\/(1\/18). What are the prime factors of (-10)\/p + (-160)\/(-9)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(200))\/((sqrt(80)\/sqrt(2))\/sqrt(10))*-2.\nAnswer: 20*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 7*b + 331. Let g be r(-47). Put 1, -22, 3, g in increasing order.\nAnswer: -22, 1, g, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l - 5*u + 26 = -0*u - 11*u - 44, 32*l - 2*u = -238 for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -142693*p**3 - 4*p**2 - 151*p + 3588 wrt p.\nAnswer: -856158*p - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 3, s: 5, y: 1}. What is prob of picking 4 s?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*x**3 + 2403612*x**2 - 189860384*x = 0. What is x?\nAnswer: 0, 79, 600824","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3211 (base 4) in base 14?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 22478818 + -48958864301\/2178. Let m = x - -15\/121. Calculate the common denominator of 6 - ((-114)\/(-32) - 0) and m.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/(-4) + 3\/(-4). Let f be (4 - s) + -8 + 8. Suppose 20 = v + 3*v - d, d - 10 = -2*v. Solve v*w - 6 = -f*o, -5*o - 3*w = -5*w - 24 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19954*l - 19957*l = -8679. What are the prime factors of l?\nAnswer: 11, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31976400 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 274549 and 1936?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 + 11. Let d = 28 - 22. Let f be (-2)\/d*(3 + -4)*9. Solve -l + f = q for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2830.\nAnswer: 2, 5, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 511*a - 173*a - 172*a - 168*a.\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12305?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*d = -2*d + 276. What are the prime factors of d?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/4*18\/(-36). Which is the closest to -0.6? (a) -0.2 (b) g (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -233a4 + 94?\nAnswer: -23310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 48\/7*m**3 + 2\/7*m**5 + 0 + 0*m - 54\/7*m**4 + 104\/7*m**2 = 0.\nAnswer: -1, 0, 2, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**5\/(p**8*p))\/((p*p*p**6\/p*p)\/p**2) assuming p is positive.\nAnswer: p**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**2 - 5*z + 4. Let c be m(-5). Suppose -5*i + a = -92, c*a + a + 46 = 2*i. Factor 4*s - i*s**3 + 15*s - 4 + 0*s + 14*s**4 - s - 10*s**2.\nAnswer: 2*(s - 1)**2*(s + 1)*(7*s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/2 - 3\/6. Suppose 4*z = -g + 25. Suppose z*s = s - 15. Which is the second biggest value? (a) 5 (b) s (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 316 - 299. Let y be 15\/3 + w + -22. Let 0*v**3 + y - 3\/4*v**5 + 0*v**2 + 0*v**4 + 0*v = 0. What is v?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (14\/(-175)*410\/3198)\/(6\/(-26))\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -4, -11, 16, 4 in descending order.\nAnswer: 16, 4, 2, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*b - 5838 = -62238. Are -4700 and b non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 1851708?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 809695 and -1?\nAnswer: 809696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2387 + 2376. Let v(a) = -a**3 - 13*a**2 - 20*a - 1. Determine v(z).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rpv when three letters picked without replacement from rbvbpbpvrb.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 212094667 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 4, j: 2}. What is prob of picking 3 r and 1 j?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4062927068 to the nearest integer?\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -0.3 (b) 139 (c) -2\/7 (d) 16 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-15)\/(-3) - (-60)\/(-12). Let d(u) be the second derivative of -5\/12*u**4 + c - 10*u + 0*u**3 - 5*u**2. What is the derivative of d(t) wrt t?\nAnswer: -10*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/(3 - 0)*-2. Let x = b - -6. Is 8 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**1)**(21\/5)\/((t*t*t\/(t*t**9))\/t**5) assuming t is positive.\nAnswer: t**(81\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 75 + -66. Let t be 2\/a + 1\/(-9)*488. What is t rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1500240 (base 12) to base 8.\nAnswer: -20106520","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c - 2*y + 62, 3*y + 0*y + 33 = -3*c. Let w = -13 + 11. Calculate the remainder when 21 is divided by w\/7 + (-158)\/c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 386\/(-68)*2 - ((-1116)\/(-96) + -13)*8.\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 13\/4 of a millennium?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the first derivative of -c**4\/4 - 10*c**3\/3 - 7*c**2\/2 + 22*c + 7. Let m be x(-9). Solve -3*y - 16 = o, -m*o = -6 + 22 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**2 + 10*h - 3. Let t be l(-11). Let r be (-7)\/2*(14 - t). Calculate the common denominator of -47\/16 and ((-14)\/r)\/(8\/(-243)).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -11*j - 5. List the prime factors of b(-4).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the third derivative of 8501*a**6\/120 + a**5\/6 - a**4\/24 - 5*a**3\/3 - a**2. Let y be t(-10). What is y rounded to the nearest 1000000?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -24 and -212\/9 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8207?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6026.045344 + 6026. What is t rounded to three decimal places?\nAnswer: -0.045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-12)\/5 + 8\/20. Let l(n) = -2*n - 6. Let v be l(-4). Let t(f) = -v*f - f + f + 1. Calculate t(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5983620117 to the power of 1\/7, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 287982 and 4.\nAnswer: 575964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/6 and -125\/23982?\nAnswer: 23982","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 68*q - 471. Let k be h(7). Sort k, 0, -13, 13.\nAnswer: -13, 0, k, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45\/225 + 6954\/5.\nAnswer: 13, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 12272*t - 16. Let u be p(-22). Round u to the nearest one hundred thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**3 - 2*v**2 - 3*v + 3. Let x be o(3). Suppose 0*g = -x*g + 15. Suppose 0 = 3*z - k - 191, -3*k + k = g*z - 311. What is the tens digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -0.3, -23, 1\/3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 5*f - 19 = -3*c, -c + 4*f = -18. Let i = 18 - c. Suppose 8 = -0*y + i*y. Solve y*q + 5 = q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90 - 374 = 330*f + 87 + 109 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.64 + 3.44. Which is the closest to 5? (a) 0.5 (b) s (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -43*z**2 + 25*z**2 + 19*z**2 - 21 to a*z + h*z**2 + f and give f.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.5 (b) 287 (c) 1\/9 (d) -3 (e) -9\/23 (f) 1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 151\/18 and 3\/9*14\/(-8).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 2 m when four letters picked without replacement from {v: 1, s: 1, m: 5, z: 9}?\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 28 in 0.1, 1, -5, -0.3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 3*o + 24 + 25 = 0, 4*h = -4*o - 108. Let d = h + 50. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 6*t**3 + 31*t**2 + 32*t + 18. Let y be d(-4). Sort -2, y, -3, -132 in descending order.\nAnswer: y, -2, -3, -132","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8259?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - -1. Let l = -20\/588169 + 17164537067\/33525633. Let c = l + -512. Are c and r equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s**3 - 2706872*s**2 + 1831780885453*s + 10990782760326 = 0. Calculate s.\nAnswer: -6, 1353439","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -47*u + 560. Let b be v(12). Put 27, 4, b in ascending order.\nAnswer: b, 4, 27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33 = 3*s + 54*a + 6, -10*s + 4*a = -24*s + 10*s - 100 for s.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74113 is divided by 22?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2701.34 + 258.76. Round c to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(1*6\/15). Suppose 48 = 2*m + 2*m - 3*t, -5*m = 5*t - 60. Let h = m - p. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7553\/5 + 8\/20?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - 14) + 7 + 0 + 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 4 = 2. Let f be x\/7 - 12\/(-7). Suppose -f*p - 32 = -4*p. Solve -3*g = -7*g + p for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82*l**2\/9 + 321140*l\/9 + 23502 = 0.\nAnswer: -27\/41, 3917","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2818447144?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 41950 - 7?\nAnswer: 41946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/60*(32\/(-72) - 16\/(-9)).\nAnswer: -1\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 14 = -6*v - 2*c, -5*c + 19 = -3*v. Suppose 0 = v*z - 3 + 11. Let y be (z\/(-14))\/(1*-1). Sort -0.3, y, -2 in increasing order.\nAnswer: -2, -0.3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 2*k**2\/3 + 28*k\/3 = 0.\nAnswer: -14, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 135, 310, 493, 690, 907?\nAnswer: 1150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the third derivative of 83*n**8\/336 + 9*n**4\/2 - n**2 + 5*n. Find the second derivative of w(v) wrt v.\nAnswer: 1660*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.4, -5, -1657, -4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3042 - -918. Is 24 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -1\/3 (b) -1\/7031 (c) -3 (d) 0.1 (e) -1\/10 (f) 0.5 (g) -1\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/7, -3, 4.8, -5, 0.1 in ascending order.\nAnswer: -5, -3, -3\/7, 0.1, 4.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -118, 2, 16806, 6, 1 in increasing order.\nAnswer: -118, 1, 2, 6, 16806","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes before 12:35 AM?\nAnswer: 6:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((48\/(-9))\/4)\/(70\/(-21))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30 and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-171)\/(-7) + (-3)\/7. Suppose -5*y + 41 = 2*i, -4*y + g = 3*i - 27. Let p(w) = 14*w - 4. Calculate the remainder when p(3) is divided by i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 2*u**2 + 21*u + 61. What is the remainder when 20 is divided by h(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -74*x + 1. Let u(z) = 3*z. Determine 2*p(d) + 22*u(d).\nAnswer: -82*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -11*u + 371. Let w(c) = c - 5. Let k(q) = m(q) + 4*w(q). Is 25 a factor of k(46)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-3\/2)*l**(2\/9)*(l\/l**1)**(2\/37))\/((l**(-7)\/((l*(l\/(l**(3\/4)\/l))\/l*l)\/l))\/(((l**(-1\/7)\/l)\/l*l)\/l**(-1\/5))) assuming l is positive.\nAnswer: l**(7597\/1260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3189 - -3194. What is the nearest to 48\/5 in z, -5, 1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-4)*(-12)\/21?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 r when two letters picked without replacement from mzmeorwr.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o + 4 - 2. Which is the third biggest value? (a) -2 (b) -1 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -2*q. Let f(d) = d**3 - 9*d**2 + 7*d + 16. Let m be f(8). Let r(u) = -2*u - m*u - u + 0*u. What is 6*r(c) - 34*z(c)?\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 459?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 402578 divided by -29?\nAnswer: -13882","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -2*6*1*(-4 + (sqrt(192) - -1*-2*sqrt(192))))**2.\nAnswer: 8256*sqrt(3) + 29497","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -6539, -1\/7, 0.3, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 151 a factor of 32592?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrqrqrrqrrqrrq. What is prob of picking 3 q?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -15 divided by -29559\nAnswer: 5\/9853","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 6999182 to the power of 1\/4, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/40 and -11\/2.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 4*t**2 - t. Let y(n) = -n**3 - 6*n**2 + 6*n - 6. Let a be y(-7). Determine v(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -23 + -99933?\nAnswer: -99956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2\/(-4)*570\/(-66) and 17\/16.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 3*q + 1. Calculate the remainder when c(1) is divided by 1*-4 - (-8 - 0).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the third derivative of -1\/270*s**6 - 8*s**2 + 1\/756*s**8 + 0*s**4 + 0 + 0*s**7 + 0*s**3 + 0*s + 0*s**5. Find p, given that d(p) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 5, 2, -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 980092.8 millilitres?\nAnswer: 980.0928","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1003, 2, 4, -437\/3 in ascending order.\nAnswer: -437\/3, 2, 4, 1003","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 142*(1 + (-5)\/10) is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 3, f: 3}. What is prob of picking 1 f and 3 r?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*o + 15 = 8*o. What are the prime factors of 16\/5*(o - -23)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1189\/77 + 173\/11. Suppose -12*b = -3*b. Sort -5\/3, b, z, 4.\nAnswer: -5\/3, b, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12 - -35. Let l = -13 + h. Factor -24*k**5 + 4*k**2 + 0*k**3 + l*k**5 - 6*k**3 - 24*k**4.\nAnswer: -2*k**2*(k + 1)**2*(7*k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21300011003 (base 4) to base 10\nAnswer: -2556227","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the second derivative of p**4\/12 - p**3\/3 - p + 23. Let m be r(2). Let d be (-2)\/(-7) - (-12)\/(-42). Solve d = -m*l + l - 1 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 + 7 - 9)*(2 - 2 - 4*b) as r*b + o and give r.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3332*w**3 - 5424*w**2 - 2513*w**3 + 3075*w**3 wrt w?\nAnswer: -16620","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6391, -6391, -6393, -6397, -6403, -6411?\nAnswer: -6421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 3*k + 10 = 0. Solve -2*p + k = -3*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9020 is divided by 4410?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -555 + -3726702593?\nAnswer: -3726703148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -55759484 divided by -2\nAnswer: 27879742","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*z - 2*y + 954 - 989, z + 0 - 1 = -2*y for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hxiwitnxt. Give prob of sequence xh.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 11 + -8 + (-3550)\/4. Let p = y - -901. What is the common denominator of -49\/12 and p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + 13 = 4*g, -g - 4*j = 4*g + 10 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55770080 is divided by 93261.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 9*g - 1. Let s(x) = 7*x. Give s(l(w)).\nAnswer: 63*w - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u*u**(3\/11))\/u*u**(-28)*u*u)**(-6\/11) assuming u is positive.\nAnswer: u**(1632\/121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -36286, -36288, -36292, -36298, -36306?\nAnswer: -36316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tzz when three letters picked without replacement from jtzjzzjz?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-13)\/((-104)\/24) - 58\/18)\/((-2506)\/(-716)).\nAnswer: -4\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 12*x**3 - 16*x. Suppose 0 = 4*t + 5*b - 0*b + 9, 0 = -3*t + 2*b - 1. Let w(j) = j**3 - j. What is t*n(p) + 16*w(p)?\nAnswer: 4*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dmmh when four letters picked without replacement from {h: 2, m: 2, c: 1, z: 1, k: 2, d: 1}.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 85103619?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in -0.6, -0.5, -1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 5, -3, 9 in descending order.\nAnswer: 9, 5, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x + 29. Let d be j(9). Let r be -132*(d\/8 + -2). Is 2\/(-2)*(-1 + 2)*r a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1\/(-18)*-9)\/1. What is the closest to -2 in m, -2\/5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(-8))**45)**(-38) assuming l is positive.\nAnswer: l**11970","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -7658*a + 42. Let q(p) = -901*p + 5. Calculate 5*i(j) - 42*q(j).\nAnswer: -448*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*l**4 - 5*l**4 + 3*l**4 + (-3*l**3 + l**3 + 4*l**3)*(l + 2*l + l) + 2*l - 2*l + 2*l**4.\nAnswer: 12*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6077.5439 + -6078. Round o to 1 dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29 divided by 1212.\nAnswer: 29\/1212","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 110*c - 11437. Calculate z(104).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 = -4*j - 34. Suppose -160 = -2*h - j*h. What is the remainder when h is divided by 18?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 46 - 26. Solve -x - 15 = 5*c, -6*c - z*x = -c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 583, 3772, 12431, 29296, 57103, 98588?\n\"Answer: 456*x**3 - x**2 + 128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 552956090 to the nearest integer?\nAnswer: 23515","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 3*a**2 - 2*a + 8. Let x(d) = -2*d**2 + d - 5. Let l = -15 - -7. Let m be (-8)\/(-28) - 37\/7. What is l*x(w) + m*t(w)?\nAnswer: w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u - 4. Let z be v(-7). Suppose 0*k = k - z. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 6 + 5)*(3*y - 5*y - 6*y).\nAnswer: -40*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -158 - -433. Is c a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:21 PM and 10:36 PM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(-26)*(-4)\/16.\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, j: 2, k: 3, o: 2, c: 6, q: 3}. What is prob of picking 1 q, 2 o, and 1 j?\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.4 or -2246618.1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3487007404?\nAnswer: 2, 871751851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 75\/8 + 1\/8*r**2 - 5\/2*r.\nAnswer: (r - 15)*(r - 5)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -6*g + g + 0*g**2 - g**2. Let d(k) = 34*k**2 + k + 1. Let q be d(-1). Suppose l - 5*z = 10, l - q = 6*l + 3*z. Calculate p(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.05 + -1.05. Let m = -1 + g. Let o be (21\/(-27))\/7*6. What is the second biggest value in o, -5\/4, m?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -142013 (base 5) to base 7\nAnswer: -23103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -92*m**3 + 24*m**3 + 23*m**3 + 29*m**3 + 20*m**3 - 9011*m + 9011*m.\nAnswer: 4*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - 2*y = -0*h + 183 - 144, -4*h = 12*y - 96 for h.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34109 divided by -1483.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**2 - 2*w - 3. Let y be v(3). Let z = 2 - y. What is the second derivative of 0*a - 2*a + 0*a - a + a**z wrt a?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y. Let g be l(1). Suppose 2 = 2*o - 0. Let d = o - g. Solve 6 = -d*n - n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (3*sqrt(880)*2)\/(sqrt(704) - (sqrt(704)*2*1 + sqrt(704))).\nAnswer: -3*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1001 and 572.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/1276 and -83\/1330230?\nAnswer: 2660460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 151 a factor of 2745219?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -23*a**2 - 1437*a + 37938. Give b(20).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2364649\/3 - 788215. Solve -224*l**2 + 0 + 100\/3*l**3 - y*l**4 + 192*l = 0 for l.\nAnswer: 0, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 71 + -111. Let u = k + 36.8. What is u rounded to 0 dps?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 875 a factor of 11516729?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -111.59 and 1611?\nAnswer: -179771.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.13? (a) -0.1 (b) 7 (c) 3 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 42 times -1.83\nAnswer: -76.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 8914 a multiple of 135?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/17572453 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -238*t - 2*y = -237*t + 7, -10*t + 4*y = -26 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-124)\/(-7) - 4\/(-14). Suppose 3*j - 11 = 2*p - 0*p, -22 = -p - 4*j. Suppose 2*n - p = o. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 1300895 = 2*p, -5*f = 88*p - 87*p - 650444. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 2*h**2 - 3569700*h + 1592844761250 = 0.\nAnswer: 892425","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10476 and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.77771 + 0.06489. Round x to two decimal places.\nAnswer: 0.84","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hbq when three letters picked without replacement from {h: 7, n: 4, q: 1, b: 1}?\nAnswer: 7\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the third derivative of 7\/2*u**3 + 3*u**2 + 0 + 1\/24*u**4 + 0*u. Let p be y(0). Solve a - 3*a = 2*o, 3*o = 4*a - p for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 484.0995 litres to millilitres.\nAnswer: 484099.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2, -7167, 1, -2 in descending order.\nAnswer: 2, 1, 0, -2, -7167","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2002211001221 (base 3) in base 6?\nAnswer: -35545254","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 93 a factor of 4488020?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20100325?\nAnswer: 5, 7, 114859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 144919 - 9?\nAnswer: 144910","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 2*v**3 + 31*v**2 - 74*v + 64. What is t(-19)?\nAnswer: -1057","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 4*j**2 + 3*j. Let u(x) = 3*x**2 + 2*x. Let d(k) = -5*n(k) + 7*u(k). Let a = -5 + 5. Determine d(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/7, -8, -2, 316.24?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 44 + -3 + 5 - (24 - 13 - -3)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1799152 is divided by 85.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -63\/830 and ((-308)\/120 + 1)\/((-3)\/90*-12).\nAnswer: 4980","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**2 - 12*c - 8. Let m be f(-7). Find the common denominator of 8\/(-30)*204\/8 and (-258)\/m*2\/(-4).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 65*d**4 + 2*d + 2*d**3 - 7*d + 47*d**4 - 16*d**4 - d to the form w*d + t*d**2 + y*d**4 + m*d**3 + u and give w.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q**4 - 34335*q**3 - 11620350*q**2 = 0. What is q?\nAnswer: -6510, -357, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -31296*p**2 - 52160. Let y(z) = -3*z**2 - 4. What is -o(a) + 13040*y(a)?\nAnswer: -7824*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 3*f**2 + 3*f - 4. Let z be t(3). Let w be (1\/(-2))\/((-44)\/(-176)) - 27. Let s = w + z. Solve -4*m = -s*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 96823084, 96823088, 96823092, 96823096, 96823100, 96823104?\nAnswer: 96823108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**2 - p + 2. Suppose 5*a - 22 = 4*t, 2*t + 13 - 3 = 2*a. Let w(s) = -11*s**2 + 10*s**2 + 2 + 76*s - 78*s. Give t*w(o) + 4*c(o).\nAnswer: -o**2 + 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5\/124 or 0?\nAnswer: 5\/124","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -76629 plus 339?\nAnswer: -76290","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 495 - 10*c - 247 + 5*c**2 - 244. Let k(m) = -12*m**2 + 18*m - 6. Let q(a) = 5*b(a) + 2*k(a). Give q(13).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 2*b**2 - 3*b + 1. Suppose 0 = 5*r - 8 - 2. What is the remainder when y(r) is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.3 (b) -0.5 (c) -2.2 (d) -0.04 (e) 1 (f) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4018163\/2209 + -1819. Which is smaller: -1 or g?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -274.3409 rounded to one decimal place?\nAnswer: -274.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*l**2*x**3 + 9*l**2*x**2 - 14*l**2*x + 18*l**2 - 2*l*x**3 - l*x**2 + 5*l - 570*x**3 - 3*x wrt l.\nAnswer: 6*x**3 + 18*x**2 - 28*x + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**3 + 14*u**2 + 9*u + 12. Let w = -51 + 39. Let a be j(w). Let i be a\/780 - 2\/20*4. Sort -2, -7, i, 5 in decreasing order.\nAnswer: 5, i, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17036396, -17036391, -17036386?\nAnswer: -17036381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g + 3*c - 0*c - 666, 525 = 4*g + 5*c. Suppose 139*n = g*n + 108. Calculate the remainder when 70 is divided by n.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**2. Let k(m) = 24853700*m**2. Give w(k(v)).\nAnswer: 617706403690000*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**2 + 7*h + 12. What is the lowest common multiple of b(-9) and 8?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence epee when four letters picked without replacement from iaaqaeqqeeqpqqqieqep?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 632.7 - 632.701352. What is a rounded to 3 dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 142, 3, 5, -1, 89, 0, 6 in decreasing order.\nAnswer: 142, 89, 6, 5, 3, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add 4.627045 and -53.7.\nAnswer: -49.072955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-9)\/(-4))\/(-1))\/(-43 - -40)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16285 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 21409 and 271.\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 41528588 to the nearest integer?\nAnswer: 346","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/6*(1 - 70\/(-50))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.25 - -0.18. Let u = -14.03 - -14. Let r = s + u. What is the closest to r in -2\/7, -5, -3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 2*w + 5*l, 4*l + 0*l + 26 = 5*w. Let t(k) = 23*k**2 - w*k - 2 + 23 - 22*k**2. What is the remainder when 94 is divided by t(5)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-3))\/((-8)\/(-324)*9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3508446*z + 3508455*z - 7016891*z.\nAnswer: 10*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1120 - 1?\nAnswer: -1121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.476 to 2 dps.\nAnswer: -0.48","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 947076 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.2 + 0.2. Let p = -10 - -20. Let f = p - 11. Which is the closest to f? (a) z (b) -4\/3 (c) -5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1117 is divided by 19.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/8, 1.3, 0.2 in increasing order.\nAnswer: -1\/8, 0.2, 1.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the first derivative of x**4\/4 + 2*x**3\/3 - 5*x**2\/2 - 2*x + 33. Let k(c) = -6*c - 3. Let o be k(-3). Suppose 2*m + 3*m + o = 0. What is s(m)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the first derivative of -i**3 - 1. Let g(u) = -1. Let j(p) = -2*g(p) + o(p). Differentiate j(y) with respect to y.\nAnswer: -6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 435 + 37 = 55*p - 463. Solve 0 = p*n - 9 - 42 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2921 and 79580.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1\/7, 3, -2.6?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mruxoex. What is prob of sequence re?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w - 2 + 10. Suppose -6*c + 3*s = -11*c + 16, -4*c - 5*s + 18 = 0. Calculate the least common multiple of 5 and c\/4 - 42\/w.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -101 = -4*w + 47. Calculate the least common multiple of 5 and w.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - (0 + 1)) + (23 - 13).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -10*g**3 - 6*g**2 - 15*g - 17. What is o(3)?\nAnswer: -386","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence at when two letters picked without replacement from eymmrtmmmmmymatammy?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**3 - 4*h**2 + 3*h - 85. Let m be a(6). Solve u + p = 4*p - 2, -m*p = -3*u - 6 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7932*a**3 + 12012*a wrt a.\nAnswer: -47592*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l**4 + 4*l**4 - 3*l**4)*(10 - 4 - 2*l - 10).\nAnswer: -8*l**5 - 16*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uii when three letters picked without replacement from uuuiuuuuiuuuiu.\nAnswer: 11\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-496)\/(-620))\/(2\/(-5)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5\/(25\/(-20)) - 0 - -34. Suppose -k = d + k - 16, -3*k = -3*d + f. What is the remainder when 33 is divided by d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4\/7 (b) 0.002 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3541 + 4381. Calculate the least common multiple of i and 70.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 171 a factor of 1061179?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**3 + 24*v**2 - 12*v - 56. Let k be l(23). Let m = 127 + k. Calculate the greatest common divisor of 12 and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 23*x**2. Let w(p) = -4184*p**2. Calculate q(w(a)).\nAnswer: 402634688*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 550*x - 1110*x - 4 - 18*x**2 + 4 + 549*x. Let n(p) = 3*p**2 + 2*p. Let m(c) = -2*h(c) - 11*n(c). Let b(s) = 10*s**2. Give m(b(r)).\nAnswer: 300*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 81 divide 1300769032?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 16*l**3 + 1 + 16*l**3 - 47*l**3 as p + u*l + y*l**3 + b*l**2 and give y.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 - (-1)\/(1\/8). Let u(d) = -4*d**2 - 4*d. Let t(n) = 5*n**2 + 3*n - 1. Let z(g) = -5*t(g) - 6*u(g). Let a be z(c). Which is bigger: a or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -3*j + 1. Suppose 2*y + p = 6, -6 - 4 = -5*y - 5*p. Let d = y + j. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 75 and 135.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 k, 1 g, and 1 f when four letters picked without replacement from {f: 1, g: 2, o: 4, k: 1, y: 2, w: 5}.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 147 = 6*k + 141. Let q(t) = -7*t**3 + 4. Let v(p) = -1. Determine k*q(f) + 4*v(f).\nAnswer: -7*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/44)\/(4506\/8261)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 + -3)*(-33)\/6. Let w be 6\/(1*9\/(-12)). Let z = b + w. Is z a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 3, l: 1, q: 3, w: 2, j: 1}. What is prob of picking 2 w and 2 i?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 24*m**2 - 9*m - 2. Calculate the remainder when 1974 is divided by r(1).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 11, j: 2, p: 1}. What is prob of sequence ap?\nAnswer: 11\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 148073?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 39324?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 8160.774 rounded to the nearest ten?\nAnswer: 8160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-530)\/1272)\/((-87)\/(-156)). Which is bigger: -1 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 593 divide 363792?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 7*k**2 - 41*k - 8. Suppose 0*y + 0*y - 36 = -6*y. Calculate t(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15085 is divided by 4995?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4250*k**3*s*y - 2*k**3*y - 2*k**2*s*y + 3*s*y + 2*s - 12*y wrt k?\nAnswer: -25500*s*y - 12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 7 = -2*u - 1, 4*x + 3*u - 12 = 0. Suppose x = -l + 2*l. Suppose 0 = -y + 9 + l. Is y a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -47, -86, -149, -236, -347, -482?\n\"Answer: -12*k**2 - 3*k - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1311606.\nAnswer: 2, 3, 107, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*k + 13*k - 282 = 0. Let u = -63 + k. Let s = 106 - u. What is the greatest common divisor of 15 and s?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.2, -53\/69, 5\/3, -16?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -5*c**3 - c**2 - 2*c - 1. Let k be o(-1). Suppose -256 = -3*h - k*j, -172 = -2*h - 2*j - 0*j. Let m = h - 41. What are the prime factors of m?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 187 divided by 1367.\nAnswer: 187\/1367","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 2 r when three letters picked without replacement from {m: 7, r: 3, d: 3}.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (4 + (-2264)\/(-16))*44\/3.\nAnswer: 2, 11, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 17.4? (a) 1\/6 (b) 0.3 (c) 0.2 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -34880979\nAnswer: -4\/34880979","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -4*x + 3*x - 3955, 2*d - 1605 = 5*x. What are the prime factors of d?\nAnswer: 2, 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -3*n**2 + n + 13. Let y be i(-3). Let d = -15 - y. What is the closest to 4 in -0.4, 0.1, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 2023 and 2024 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times -489302\nAnswer: 48930.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 390\/(-26) - (1 + -23). Which is the closest to 2\/7? (a) s (b) -4\/27 (c) -5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 383240419?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(102) - (sqrt(102) - 3*sqrt(102)*4))*2)\/(sqrt(60)\/(sqrt(10) - (sqrt(10) + sqrt(90)\/sqrt(9)*5))).\nAnswer: -120*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 37\/5 of a week?\nAnswer: 74592","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 144 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/6)\/((-224)\/(-168)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 303287.1 milligrams to micrograms.\nAnswer: 303287100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0009574 rounded to four dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-400)\/(-65) - 4) + -2\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**3 + 9*k**2 + 7*k - 4. What is g(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 30020529 and 132.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 87870 is divided by 104.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 315198 a multiple of 102?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -318*q**3 + 31*q**2 - 19*q**2 - 12*q**2.\nAnswer: -318*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 31538 and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 304180 to the nearest integer?\nAnswer: 552","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 852853177?\nAnswer: 11, 41, 1891027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dwwhdwwvw. Give prob of picking 1 d and 1 v.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.27201 + 1.17201. Let h = 83\/3 + -28. Which is the closest to 1\/2? (a) h (b) -5 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 102033310 - 32130?\nAnswer: 102001120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10 - -9)*-2 + -6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -0*g - 4*m + 12, -4*g + 2*m - 16 = 0. Let t(u) = -102*u - 1. Is t(g) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.4153 + -0.5847. Which is the smallest value? (a) 3 (b) -1\/839 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kgk when three letters picked without replacement from {x: 11, g: 3, k: 4}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -4*r, -5*m - 3 = 2*r + 1. What is the second derivative of m*l**5 - 3*l + l**5 + l + 3*l wrt l?\nAnswer: 20*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5981, -23823, -53533, -95111, -148557, -213871, -291053?\nAnswer: -380103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.957 to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and 37330.\nAnswer: 18665","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.98945 to 2 dps.\nAnswer: -8.99","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times -1890?\nAnswer: -756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/(-18)*(-12)\/20.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(110) + (sqrt(110) + 1*sqrt(110) - sqrt(110)) + sqrt(110))\/sqrt(10) + sqrt(99)*1)**2 - (5*-2*sqrt(176))**2*-3.\nAnswer: 53196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/33 and 23\/33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -f**2 + 26 + 1891*f - 3 + 6 - 6 - 1792*f to the form d*f**2 + u*f + g and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the second derivative of 1\/6*a**3 + 0 - 1\/2*a**2 - 2*a. What is n(-5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 19, 39, 63, 91, 123?\n\"Answer: 2*t**2 + 14*t + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -28*v**4 + 3*v + 2*v**2 - v**3 + 55*v**4 - 28*v**4 + 2*v**3 - 2 to the form t*v**3 + a*v + f + l*v**4 + z*v**2 and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5692551 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 - (-6)\/(9\/(-3)). Let x be 649\/(w*(-1)\/(-2)). What is the common denominator of -40\/9 and x\/42 + (-4)\/(-14)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + -2)*(-49)\/((-1568)\/368)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 82014059?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 5, g: 2, t: 7, h: 4}. Give prob of picking 4 t.\nAnswer: 7\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**2 - 2*c + 1. Let z be -1*(6 + -6 + 4). Let p(h) = 5*h**2 + 8*h - 4. Let f(j) = z*o(j) - p(j). Let y(s) = 2*s. Determine f(y(l)).\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qhqhoqhdjdojjd. Give prob of sequence hq.\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (765\/(-495))\/(2\/(-22)*1)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 203 + -186. Solve -5*r = 3*j - p, -5*j - 16 = -5*r + 9 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58434309524 take away 4?\nAnswer: 58434309520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40331 (base 5) to base 6.\nAnswer: 15555","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1530001122 + -4?\nAnswer: 1530001114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14248, -28169, -41466, -53827, -64940?\nAnswer: -74493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(3339\/(-133) - -25)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10 - (-5 + -2 + 24 + -7)) + (98 - 110).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**2 - k. Let w(c) = 2*c**2 + 3*c. Let u(y) = -3*b(y) - w(y). Let p be (0 + -2)*13\/((-52)\/8). Let h(x) = 2*x + p*x - 5*x - 3*x. Give u(h(g)).\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*p**2*w**2 - 2*p**2 + 52*p*w**2 + 105*w**2 wrt p.\nAnswer: 4*p*w**2 - 4*p + 52*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 take away -7.06675?\nAnswer: 16.06675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 2*b**3 + b**2 - 4*b - 3. Let c be u(-2). Let r = 12 + c. Suppose 8*p = r*p + 45. Does 6 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2500+20.94150573\nAnswer: 2520.94150573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 37666 and 129286.\nAnswer: 1018","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 22 - -33. Let n = l - -81. Does 9 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**2 + 5*f + 10. Let d be p(-3). Suppose d*u + j + 60 = 0, -5*u - 56 = -4*j - 2. Which is greater: u or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 33.8 in -2\/3, 7, 9.15, -0.4?\nAnswer: 9.15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 297 + -248. Let a be ((-35)\/x - 3) + 4. What is the biggest value in -19, -0.3, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 804070437.\nAnswer: 3, 17, 109, 1327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/77663718 and 26\/3?\nAnswer: 77663718","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + n - 18 = -2*y, -14 = -5*y - 3*n. Suppose -y*v = -0*v + p + 30, -p - 22 = 3*v. Which is smaller: -9 or v?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 440*d**4 - 2*d**2 - 18114*d?\nAnswer: 5280*d**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - -2 - -4 - (15 - 13).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2351 in 1\/2, -0.17, 4, -1, -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (29*i**2 - i**3 - i**3 - 76*i**2)*(-4*i + i + i).\nAnswer: 4*i**4 + 94*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - 7) + (-21 - (6 - 31)) + -1 + -69\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0*(-2)\/4 - -25. Let m = 3 - -2. Solve 0*z + a = -m*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -104582, -209170, -313758, -418346, -522934?\n\"Answer: -104588*w + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -17? (a) 0.5 (b) -16 (c) 33\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 50890 and 11865?\nAnswer: 17251710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 264378?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/(-60)*8*-2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 11) in base 13?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 409065?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 100 + -95. What is the second biggest value in -1\/5, s, -0.7?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.616589 + -0.59169. What is l rounded to 4 dps?\nAnswer: 0.0249","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -5*f - 2125, 2*f + 4*t + t + 835 = 0. Let z = 433 + f. What is the smallest common multiple of 24 and z?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p - 3 - 205 = 0. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 148 - 148. Suppose -5*h + 597500 = 5*q, 3*q = 2*h - h - 119500. Suppose n*b = 5*b - h. Round b to the nearest one thousand.\nAnswer: 24000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 219 a factor of 16841812?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -54 + 109. Let w = n - 44. Suppose 9*z = w*z - 144. What is the greatest common divisor of z and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 20 = 90. Suppose 3*l - k = -4*l. Solve 31 = -l*r - 2*v - v, 2*r = v - 8 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 25, 21\/4, 0.1 in increasing order.\nAnswer: 0.1, 21\/4, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-8 - (-4150)\/525) + (-188)\/42. Which is the third smallest value? (a) 0.3 (b) -0.5 (c) x (d) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28, -13, 42, 143, 296, 507, 782, 1127?\nAnswer: 1548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-162)\/15)\/((-3)\/10). Let h be (b\/(-8) - -2)*25200. What is h rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 9256882 from -4.8.\nAnswer: -9256886.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -11 - 9. Let d(r) = 5 - r + 1 - 1. Let h be d(v). Calculate the highest common divisor of 11 and h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1125 and 30.\nAnswer: 2250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**2 + p + 9. Let k be a(0). Let v(c) = 8*c + 1 - k*c + 5. Let t be v(5). Does 3\/2 = t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 264704 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 38 = -2*q. Let s be 12\/(-8)*16\/(-6). What is the remainder when q is divided by -1 + 16 + s\/(-2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17028522 and 198?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -22*c + c + 60 + 24 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -3 + 2*w - 12*w**2 - 12*w - w**3 - 7 - 2. Let p be t(-10). What is the tens digit of p\/6*(-270)\/105?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(133)*1*2)\/sqrt(7))**2.\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the third derivative of 6*c**2 + 0*c**4 + 1\/40*c**6 + 0 + 0*c - 1\/3*c**3 + 0*c**5. Differentiate f(t) with respect to t.\nAnswer: 9*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, j: 1, v: 12, u: 2, p: 2}. Give prob of sequence ll.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v**2 + 8*v**2 - v**2)*(-2 + 2 - 2*v) - 21*v**3 + 12*v**3 - 4*v**3 + (v - 5 + 5)*(5*v - 5*v + 3*v**2).\nAnswer: -24*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -70 + 147. Suppose y*i - 33 = 74*i. Let r(a) = a**2 - 10*a - 9. Calculate r(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3\/5, -2\/179, 0, -396, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 27 and 3585.\nAnswer: 32265","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26, -90, -196, -344, -534?\nAnswer: -766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -1\/3, -2, -6?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(65)*3 - 2*(sqrt(65) - sqrt(65)*-1))\/(6*1*sqrt(80))*6 + 4)**2.\nAnswer: 4*sqrt(13) + 77\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1180 and 27482450?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/219 (b) 3 (c) -3 (d) -2\/11 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -23 + (-16 - -46) + -42*(-6)\/9. Solve -58*n = -41*n - c*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2762, 2763, 2764, 2765, 2766, 2767?\nAnswer: 2768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**3\/2 + 350503*n**2\/2 + 15335755760*n - 3644424472650.\nAnswer: (n - 237)*(n + 175370)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 3*z**2 + 206*z + 3432. What is q(-28)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**3 - 2*c - 1. Let j be (-2)\/6 + (-40)\/15. Let a be j - (-5 + 1 + 2). Calculate l(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes after 12:43 PM?\nAnswer: 2:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-1)\/(-4))\/(5*68\/(-104)). Let p = 8957\/1530 + z. What is the common denominator of 58\/5 and p?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - 113 + 393. Calculate the remainder when 70 is divided by 5 - (-3)\/((-12)\/h).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbbbbbbb. What is prob of sequence bbb?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -76.1 - -76. Put 9, 4, 0.5, v in decreasing order.\nAnswer: 9, 4, 0.5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v + 3*v - 32. Let c = 3 + v. Solve -3*p = h + 3*h - c, 14 = 3*p + h for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -664*7151\nAnswer: -4748264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 955453281?\nAnswer: 3, 23, 13847149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/2, 12, 0, 2, 0.964 in decreasing order.\nAnswer: 12, 2, 3\/2, 0.964, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1328 and 528?\nAnswer: 43824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.6897126 greater than -28?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:40 AM and 9:13 AM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes after 3:47 PM?\nAnswer: 5:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -46 (b) 0.3 (c) -1 (d) 342 (e) -16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*p**3 + 10*p**3 + 10*p**3 + 6*p**3 - 2*p**3.\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 6 = -2*d, 17*d - 20*d = -4*z + 7. Suppose 2*b + 4*s - 3*s = 148, 2*b - z*s - 128 = 0. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 24 + -21. Is (-4)\/6 - (-419)\/z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 65429, 261756, 588979, 1047098, 1636113, 2356024?\nAnswer: 3206831","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 divided by 27?\nAnswer: -7\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 319 - 98. What is the greatest common divisor of o and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q\/((q*q\/(q\/q**8*q)*q*q*q*q)\/q))\/(q\/((q**(4\/9)*q*q)\/q*q)))**(-15) assuming q is positive.\nAnswer: q**(340\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.16 and -89817.\nAnswer: 14370.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 3395054, 6790114, 10185176, 13580240, 16975306, 20370374, 23765444?\n\"Answer: b**2 + 3395057*b - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 divided by -957603.\nAnswer: 7\/957603","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 773447193?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*v**2 + 0*v**2 + v - 31 + 2*v + 28*v**2 wrt v?\nAnswer: 64","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 83388, 166775, 250162?\nAnswer: 333549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (178*k + 106 - 106)*(-2*k + k + 0*k - 2) - k**2 + k**2 + 5*k**2.\nAnswer: -173*k**2 - 356*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 2*y**2 - 19*y - 10. Let a be d(11). Calculate the highest common divisor of 161 and a.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 5*c**2 - 30*c - 4. Give x(9).\nAnswer: 131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 320299705.\nAnswer: 5, 11, 529421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1921\/7 + -275. Which is the nearest to -1? (a) p (b) -5 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**2 - 8*u - 1. Let k(f) = -11*f**3 + 10*f**2 - 32*f - 3. Calculate -3*k(p) + 12*y(p).\nAnswer: 33*p**3 - 18*p**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 40795.895 rounded to the nearest ten?\nAnswer: 40800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-60)\/(-35) - (-4)\/14. Suppose -7*k = 2*l - 3*k - 26, -l + i*k = -33. List the prime factors of l.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**3 - 29*z**2 + 266*z - 69. Calculate j(6).\nAnswer: 267","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3 + -291.\nAnswer: -290.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 2287 = 5*j - 45, -4*p + 1397 = 3*j. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -y + 3. Suppose -6 + 202 = 4*g + 4*b, 213 = y*g - 3*b. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 316 = -24. Suppose 4*v + 5*x - o = 0, 63 - 176 = -5*v - 4*x. Solve 9*n = 4*n + v for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((sqrt(130) - sqrt(130)*-1)*1)\/(sqrt(30)\/(sqrt(9)\/sqrt(3))))**2.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 258336*g**3 - 47*g**2 - 3041.\nAnswer: 1550016","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -2*q + 14. Let g be o(5). Solve 2*p = -v + 8, 4 = g*p - 5*v + 2 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1630717 to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/(-6) + (-1)\/2. Let n = 3 - 7. Let b = -42.9 + 43. What is the nearest to z in 2\/7, b, n?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-7)\/(-14) + 3\/2. Let l(j) = j**3 - 3*j**2 + 2*j - 3. Let b be l(z). Is b > -0.02?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/k**(-37)*k**(-37) assuming k is positive.\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l = 2*l + 88. Suppose -280 = -13*s - 46. Calculate the smallest common multiple of l and s.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 94641964 divided by 2?\nAnswer: 47320982","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -2*h**2 + 10*h + 13. Let n be m(-7). Let s = 402 - n. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2875684477 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the third derivative of -p**5\/30 + p**4\/12 - p**3\/2 + p**2. Let w(m) = 6*m**2 - 6*m + 10. Let x = -787 - -789. What is x*w(u) + 7*r(u)?\nAnswer: -2*u**2 + 2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and -0.047?\nAnswer: -0.141","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(228))\/sqrt(3).\nAnswer: -4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -11*o**2 - 54*o - 14. What is f(-3)?\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2666 is divided by 569?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d\/d**(-23)*d))\/d*d*(d**29\/d)\/d*d*d assuming d is positive.\nAnswer: d**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (160\/(-56))\/(-5)*7?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h + 3*t + 3, -13*h - 4*t = -14*h - 1. Calculate the smallest common multiple of (-40)\/(-420) + (500\/(-42))\/h and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 179212?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -102647840 rounded to the nearest 100000?\nAnswer: -102600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/15361 and 71\/13271904.\nAnswer: 13271904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.12 + -3.12. Let o = 9 + -5. What is the closest to 0 in -5, g, o?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, 2, 9\/140, -0.1 in decreasing order.\nAnswer: 3, 2, 9\/140, -0.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 42, 25, -2, 7 in descending order.\nAnswer: 42, 25, 7, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 12, 6, -1.\nAnswer: -5, -1, 6, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -119415 + 213148. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: ((-100)\/(-16))\/(12825\/2280)\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*u - 528 = -41*u. Is 32 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 37 - 38 + 41*c**3 + 2*c**2 + 1005*c**3 wrt c?\nAnswer: 6276","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 56874.51ml?\nAnswer: 56.87451","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 44662442 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ug when two letters picked without replacement from {g: 5, e: 5, u: 3, m: 2, w: 3}.\nAnswer: 5\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -50.7, -8, 158 in ascending order.\nAnswer: -50.7, -8, 158","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12366982 and 4?\nAnswer: 24733964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -124, -16 in decreasing order.\nAnswer: 3, -16, -124","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*d + 795 = -25*d. Does 28 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 190233296?\nAnswer: 2, 11, 97, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 222200301 (base 4) to base 8\nAnswer: 524061","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -19525*p**2 - 9796 wrt p?\nAnswer: -39050*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*j + 29*j - 408 = 0. Calculate the remainder when 129 is divided by j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15398 + -3\nAnswer: 15395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r = 4*g + 22, 17 = -2*r - g + 7 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.78 - 1.78. Let t = 0.7 + -0.5. Let d = t + -0.1. Which is the nearest to -1? (a) d (b) s (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 53061 and 552?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.05? (a) -33\/8 (b) 3.1 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 72918?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -2176*0.128\nAnswer: -278.528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 295740.346 rounded to the nearest 10000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 301*w**4 - 5*w**2 + 5*w - 267. Let t(i) = 299*i**4 - 4*i**2 + 4*i - 267. Let y(d) = -4*j(d) + 5*t(d). What is the derivative of y(z) wrt z?\nAnswer: 1164*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.09 + 4.09. Let j = 45.1 - 45. What is the nearest to 2 in n, -4, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 258 is divided by 108.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -77061151*n**4 + 46511732*n.\nAnswer: -924733812*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -563.2694 - -558.37. Round f to one decimal place.\nAnswer: -4.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 101249?\nAnswer: 103, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1408 and 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9*b**2*j**2 + 25067*b**2*j - 1143*b**2 + 154*b - 3*j**2 - 5 with respect to j.\nAnswer: -18*b**2*j + 25067*b**2 - 6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4447998 divided by 8?\nAnswer: 2223999\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**3 - 10*j**2 - 9*j + 6. Let g be n(-7). Is (12\/(-8))\/(6\/g) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 19657 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-40)\/(-9))\/(-4)*(-36)\/(-1500)*25.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 3*c**2 + 47*c + 188. Calculate p(-6).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 366*r - 365*r = 3*a - 8, 4*a = r + 12 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 - 42 = 26*w. Which is the fourth smallest value? (a) 0.4 (b) 2\/3 (c) w (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 111 + -4?\nAnswer: 10b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6698, -13427, -20160, -26897?\nAnswer: -33638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.078 + 34.078. Let p = q + -34.3. Which is the second biggest value? (a) p (b) -4 (c) 0 (d) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1918 divided by 390.\nAnswer: 959\/195","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**20*c)\/c*c)\/(c*c*c**(-3\/5)) assuming c is positive.\nAnswer: c**(103\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.5 + 4.5. Let l = 3 - x. Let y be 11\/6 - 237\/711. Which is the second smallest value? (a) 4 (b) l (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**3 + 2*q**2 + 10*q - 1. Let t(r) = -8*r**3 - 7*r**2 - 40*r + 7. Determine 4*m(n) + t(n).\nAnswer: -12*n**3 + n**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 2*t**2. Let f(g) be the third derivative of g**5\/12 + 14*g**2. What is y(f(m))?\nAnswer: 50*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-2)\/(-18) + (-11176)\/(-99)?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(9 + -5 + 0)*-4. Suppose 4*f - j - 2935 = f, -r*f - 3*j = -1942. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54 is divided by 50?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 72 + -32. Let v = w - 36. Suppose b + 2*z = -z + 15, -5*b + v*z = 20. Solve -24 = -3*t - t + 4*i, b = -2*t - 2*i - 8 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes after 6:07 AM?\nAnswer: 12:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 - 2)*(-444)\/666. Let x(k) be the first derivative of 0*k**2 - 5 - s*k**3 + 0*k**4 + 0*k + 6\/5*k**5. What is the third derivative of x(t) wrt t?\nAnswer: 144*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 30*o - 408. Suppose 5*q = -u + 3 + 31, u = -q + 18. Let d be l(u). Sort d, 4, -1 in ascending order.\nAnswer: -1, 4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*n**3 + 5*n**2 - n**3 - 2*n**3 - 53*n**2 - 29*n**3.\nAnswer: -10*n**3 - 48*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -292 (base 10) in base 16?\nAnswer: -124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - (7 - 2)) + -7?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fsxj when four letters picked without replacement from fxfjhvxs?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 7\/1732362 less than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oc when two letters picked without replacement from zocccczccocc.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4*35\/21)\/(-42)*9?\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 163758912 to the nearest integer?\nAnswer: 547","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (2032\/3048)\/(6\/189*1)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*f = -3*f - 1800. What is the remainder when f is divided by 10\/(10\/(-7)) + 53?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(75) + (sqrt(75) + -1*sqrt(75) + sqrt(75) - sqrt(75)) + sqrt(75))*-3 + 1*(sqrt(75)*2)**2 + sqrt(75).\nAnswer: -25*sqrt(3) + 300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -22 - -32. Let f = v + -17. Let b be 2\/(-3)*3\/f. Is b < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12 - 11.5. Let l = 0.3 + 0.1. What is the biggest value in 1, l, f?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o\/((o*(o\/((o\/((o\/(o\/(o*o**(4\/11))))\/o))\/o))\/o)\/o)*o*o*o)\/o**7)**(-35) assuming o is positive.\nAnswer: o**(910\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 121*i + 1241 = 194*i for i.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the third derivative of -d**6\/60 - 11*d**5\/60 - d**4\/24 - 3*d**2. Let z(s) = -s**3 - s - 1. Let w(l) = -j(l) + 3*z(l). Is w(9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 21 - 19. Let r = 287 + -287. Solve 0 = -r*d - a*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (6\/(-9))\/((-10)\/(-6)). Suppose 0 = -u - 0*u - 5*x + 50, -x + 162 = 4*u. Let j be -2*6\/u*-2. Which is the smallest value? (a) j (b) k (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.005 - -0.395. Which is the closest to 0.2? (a) -0.9 (b) u (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 148*t - 341*t + 155*t = -982 - 842 for t.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 times -23?\nAnswer: 345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the second derivative of -f**4\/6 - 1439*f**3\/6 + 1537*f**2 + 2*f - 64. What is the first derivative of y(g) wrt g?\nAnswer: -4*g - 1439","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -409746 divided by -3\nAnswer: 136582","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 564 divide 778280?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 2*x. Let t(p) be the first derivative of -29*p**5\/60 - p**2 - 2. Let o(v) be the second derivative of t(v). Calculate o(l(z)).\nAnswer: -116*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*b**4 + 0*b**2 - 2*b**4 + 1116*b - 1121*b + b**2 - 21*b**3 as z*b**4 + v*b + u*b**3 + j + p*b**2 and give u.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16420509 divided by -6447.\nAnswer: 2547","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes after 3:45 AM?\nAnswer: 3:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 + 8 + -4 + -4. Suppose 2*y = 6*y. Let b(k) = 6 + c + 2 + y - k. Calculate b(9).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -t**2 + t**2 + t**2 + (1 + 2*t - 1)*(0*t - 3*t + 2*t) + (-518 + 48*t + 518)*(-976*t + 974*t - 18 - 84).\nAnswer: -97*t**2 - 4896*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.04592949 to two decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w + 0*w + 5*w)*(1 - 10 - 4)*(110 - 110 + 13*w**2).\nAnswer: -507*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.01 and 7966.15.\nAnswer: -79.6615","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1021 - 5?\nAnswer: -1030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1126 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -279 + 408. Sort t, -3\/2, 1.\nAnswer: -3\/2, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9343?\nAnswer: 9343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*w - 4*w = 2*w - 140. What is the highest common divisor of w and 2128?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 minus 5736577710.6426?\nAnswer: -5736577710.7426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2*d**3 + 2 + (2*d - d + 0*d)*(2*d**2 - 2*d + 2*d) + 3*d**3 - 5*d**3 + 0*d**3)*(-4*d**2 - 2*d**2 + d**2).\nAnswer: -10*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/10 + (-152)\/10 + -3. Are h and -18 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 52 and 2743?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46 - 38 = -2*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -16*z**2. Let g(i) = 2*i**2 - 13*i + 13. Let m(x) = x**2 - 6*x + 6. Let b(q) = -6*g(q) + 13*m(q). What is a(b(r))?\nAnswer: -16*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(1\/3)\/v**6 assuming v is positive.\nAnswer: v**(-17\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*d + 4*d. Suppose -3 = -3*v - w - 9, -3*v + w = d. Which is the closest to 0? (a) v (b) 2 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(2\/9)\/b)\/(b*b**(-3\/2)))**24 assuming b is positive.\nAnswer: b**(-20\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-208)\/(-117) + 3\/((-54)\/(-4))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41*i + 2966*i**2 - 490*i**2 + 50*i.\nAnswer: 2476*i**2 + 91*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g = -4*g, -3*v + 4*g = 6 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the first derivative of 2145*f**4 + 31*f**2\/2 + 72*f - 6114. Find the second derivative of d(i) wrt i.\nAnswer: 51480*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2256 = 192*n - 4560 for n.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 - 0 - (5 + -960). Let r be g - (-4 - -3)*-3. Let i(h) = -951 - h + r. Let f(y) = 5*y. Calculate i(f(d)).\nAnswer: -5*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 23445959 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6 and 7055766?\nAnswer: -42334596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 - -4. Let a(r) = -7 + 7 + 14 + 50*r. What is the units digit of a(h)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 2100436?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -10*s + 16. Suppose 0 = 3*j + j - 12. Let v(r) = 2*r - 3. Let i(g) = j*m(g) + 16*v(g). Let q(y) = 2*y**2. Calculate q(i(w)).\nAnswer: 8*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**2 - 11*x - 4. Suppose -10 = s - 0*s. Let n be a(s). Let u be (-1 - 9\/(-6))*n. What is the greatest common divisor of u and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 1398*o + 3 - 696*o - 700*o. Determine s(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38411 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 7971473 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 287811?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 1546.9668 to the nearest ten.\nAnswer: 1550","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -42.56 + 6.76. Let p = 35.930647 + -0.070247. Let w = n + p. Round w to three decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1a257 - 35a?\nAnswer: -1a606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 3*j + 1. Let m be a(3). Let b be (-3 - -5)*m\/4. Suppose 3*q = 4*v + b + 4, -2*q - v + 6 = 0. Solve -1 + q = -f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -45.95 - 0.05. Let y = g + 50. Let k = -37 - -36. Sort y, k, 5 in descending order.\nAnswer: 5, y, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 20 in 5, -5, -36\/13, 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**3 - 2*g**2 - 8*g + 3. Let j be f(4). Let y = j + 188. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 83575103 to the power of 1\/4, to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 16 = 0, 26931 = 2*d + q - 98599. List the prime factors of d.\nAnswer: 3, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/12 + 62\/12. Suppose 120 = n*r - r. Let c = -19 + r. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 - 2. Suppose -33*t = -35*t - d. Let o(w) = w**2 - 4*w - 3. Let g be o(4). Sort -6, g, t in increasing order.\nAnswer: -6, g, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 99*a + 105*a - 356*a + 63*a + 6 + 102*a + 158*a.\nAnswer: 171*a + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 28*t**4 + 20*t**4 - 47*t**4. Let d(m) = 7*m**4 + 8*m**2 + m - 8*m**2. Let x(v) = d(v) - 6*r(v). Find the second derivative of x(b) wrt b.\nAnswer: 12*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 (base 7) in base 15?\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 + 11. Let z = p - 4. Suppose -z*s + 10 = -2*s. Solve -s*f = -0*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 908.254l in millilitres?\nAnswer: 908254","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -478, -1403, -2726, -4441, -6542, -9023, -11878?\nAnswer: -15101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (52 - -1) + (15 - (-4 + 23)) - (20 - 18)?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w + f = -9, 59*f - 55*f - 14 = 5*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 264 = 5*p - 8*p, 2*s = -8*p + 708. What is the remainder when 6477 is divided by p?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 504, 1033, 1594, 2187, 2812, 3469, 4158?\n\"Answer: 16*a**2 + 481*a + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(6\/7)\/x*x**(-33)\/x)**(-9) assuming x is positive.\nAnswer: x**(2151\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 40\/(-3)*-5*((-1368)\/75)\/(-38).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 69, 19, -1, 1\/8?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 326767, 653515, 980243, 1306951, 1633639?\nAnswer: 1960307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 5145.1 to the nearest one hundred.\nAnswer: 5100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/8 (b) -1 (c) 2\/1257 (d) -1\/6 (e) 0.007\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68) - (sqrt(68)*-4*-1 + sqrt(68))) + 4*6*sqrt(68))\/((6*sqrt(100) - sqrt(100) - sqrt(4)) + (sqrt(36) - sqrt(2916))\/sqrt(9)).\nAnswer: 5*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 25*o**2 - 58*o + 63. What is the thousands digit of z(8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 122*h**2 + 1489*h - 62. Calculate q(-5).\nAnswer: -4457","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 865.\nAnswer: 5, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, s: 1, e: 1, v: 1}. What is prob of picking 1 g and 1 v?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**3 + 22*k**2 + 80*k + 238. Let s be u(-14). What is the highest common divisor of 147 and s?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from shhff. What is prob of sequence hffh?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 222, 430, 616, 768, 874?\n\"Answer: -2*g**3 + g**2 + 219*g + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -76710 divided by -38355?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/154971 and -53\/51657?\nAnswer: 154971","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4232 and 949555?\nAnswer: 529","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 + 6. Let y be 8\/(-36) + u\/(-9). Let p = y - -6. Is 5 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, 3, -247, 1007 in descending order.\nAnswer: 1007, 3, -16, -247","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 81700\/3440*6\/513.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 756 + a81b?\nAnswer: b173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 16297911 to the power of 1\/2, to the nearest integer?\nAnswer: 4037","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 494 - 493.1. Which is the nearest to 0.2? (a) 5\/3 (b) 0 (c) -3 (d) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*h + 24*h**2 - 303*h**2 + 138*h**2 in the form m*h + x + v*h**2 and give v.\nAnswer: -141","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 - b**3 + 2 + (-4 + 1 + 1 + (3 - 1 + 0)*(-2 + 4 + 0) - 1 - 3 - 3 + 4 - 1 - 5 + 1 + 0 - 3)*(b**3 - 3*b**3 + 0*b**3).\nAnswer: 17*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -38\/939 and -61\/303.\nAnswer: 94839","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 1714 = g, 3*g + 4*s = -837 + 6045. What is the least common multiple of g and 96?\nAnswer: 10464","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**2 + u + 6. Let c(v) = v**3 - 6*v**2 - 8*v + 6. Let n be c(7). What is the remainder when (n\/(-2))\/(-1)*-20 is divided by g(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.38 + 0.46. Let j = -36.08 + i. Let y = 36 + j. What is the closest to -1 in y, -3\/2, -0.2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5*10\/(-1250))\/(2\/(-4))?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 76c4b (base 13) to base 9.\nAnswer: 357171","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 2*t**3 + t**2 + 8*t + 65. Determine g(-4).\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 18323231021 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2730\/126)\/((-2197)\/(-4056)).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the third derivative of k**5\/60 + k**2. Let f(s) = -4*s + 35*s - 4*s - 28*s. Determine p(f(t)).\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-347)\/(-1388))\/(2\/224).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 52 and 1?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.3, -20, 2\/7, 6\/13747, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 114836 - 114844.6629. What is b rounded to the nearest integer?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes before 9:34 AM?\nAnswer: 3:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10890 and 10755?\nAnswer: 2602710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 194, -0.3, -0.02, -11 in descending order.\nAnswer: 194, -0.02, -0.3, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the second derivative of t**8\/20160 - t**7\/7560 - t**6\/432 - t**5\/120 + t**4\/6 - 3*t. Let c(y) be the third derivative of o(y). Factor c(k).\nAnswer: (k - 3)*(k + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qyqxxn. What is prob of picking 1 q and 1 y?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 6613?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 786927419?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.29 - -36.\nAnswer: 34.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1062806?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -13402.2435 rounded to the nearest 1000?\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 3*n = 5, 3 = u - 2*n. Let j = u - 1. Let w = -6497\/24 - -2163\/8. Is j smaller than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -42464, -42471, -42482, -42497, -42516, -42539?\n\"Answer: -2*m**2 - m - 42461","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 571 is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -184\/953, -1\/2, 0.302 in descending order.\nAnswer: 0.302, -184\/953, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.04 or 0.9?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the second derivative of b**8\/2240 - b**6\/144 - b**4\/6 + 4*b. Let f(h) be the third derivative of c(h). Find the second derivative of f(s) wrt s.\nAnswer: 18*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -2*x - 1. Let r be y(-2). Suppose 5*w + 234 - 983 = r*p, -2*p = -5*w + 751. Suppose f - n = -25 + w, n - 636 = -5*f. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1378*l**2*s*v + 27004*l**2*s + 1497*l*s*v + 6*l*s + 2*l*v + 27*s*v - s wrt l.\nAnswer: 2756*s*v + 54008*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**4*m**6*m**(1\/6)\/(m\/m**7))\/(((m\/(m**(-1\/3)\/m))\/(m\/(m*m*m**(-1)*m)*m))\/(((m**2\/m)\/m)\/m)**(-21)) assuming m is positive.\nAnswer: m**(209\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2995843759.\nAnswer: 43207, 69337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 6 + -1 + (-169 - -169)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40 + 20 + 20 + 14*u**2.\nAnswer: 14*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.903911 months in millennia?\nAnswer: 0.00040865925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*p = -1 - 9 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 29839722?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 47417819 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 2*o**2. Let y = 11 + -8. Let w(k) be the first derivative of -y*k**2 - 3 + 2 + 0 + 4*k**2. Calculate v(w(j)).\nAnswer: 8*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f**(1\/27)*(((f\/f**(-12\/11))\/f)\/f)\/f assuming f is positive.\nAnswer: f**(38\/297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8555 (base 9) to base 13.\nAnswer: -2b28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 95*n - 1. Let s be v(1). Let j = 63 + -6. Let t = s - j. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = 2*m - 18, m - 6 = 2*g - 5*g. Let b be (2\/4)\/((-3)\/(-660921)*m). Let j = b + -7342. What is the common denominator of 20\/3 and j?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 7, 50 in descending order.\nAnswer: 50, 7, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvjv when four letters picked without replacement from {o: 2, v: 6, a: 1, j: 3}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (311*u - u**2 - 544*u + 265*u)*(6*u - 11 + 11).\nAnswer: -6*u**3 + 192*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -291, -414, -537, -660?\n\"Answer: -123*y - 168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(0 + (sqrt(2) - (-1 + sqrt(2)))))**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -8439502.17 to the nearest 10000.\nAnswer: -8440000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -11*u**3 - u**2 - u. What is y(-1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3*p**2 + 0)*(-3*p**3 + p**3 + 9*p**3).\nAnswer: -21*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**3 + 89*t**2 - 77*t + 377. What is b(88)?\nAnswer: 1345","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1585087?\nAnswer: 7, 127, 1783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-34)\/((35\/((-1925)\/10))\/((-3)\/66))\nAnswer: -17\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 25 - 13. Let n = 2371 - 2389. Let i = q + n. Which is the third biggest value? (a) -4 (b) i (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, 5, 0, 3, -4, -3, -12 in decreasing order.\nAnswer: 18, 5, 3, 0, -3, -4, -12","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:27 AM and 12:59 PM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vqtxyiyqxqvi. Give prob of picking 1 t and 1 i.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, p: 1, i: 1, e: 1}. What is prob of picking 3 i?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1208e6 - 5?\nAnswer: 1208e1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 2*m**2 - 4*m + 4. Let l = -36 - -37. Let h be 0\/5 + 0 - (3 - l). Let o be (-110)\/(-40) + h\/(-8). What is d(o)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8114, 34, 0, 1 in increasing order.\nAnswer: -8114, 0, 1, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -324443, -323892, -323341?\nAnswer: -322790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**2 + 5*s - 2. Let q be v(-10). Let a = 112 - q. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 9*j = 2*o - 165, -5*j = -o + 170. Calculate the common denominator of ((-252)\/j)\/((-238)\/(-105)) and -101\/170.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (168\/(-42))\/(3\/(27\/6)). Put -11, 4, m in increasing order.\nAnswer: -11, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 249*f - 126*f - 119*f.\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p*p*p**(-2\/3)*p*p*p)**(-1\/3))**(-1\/43) assuming p is positive.\nAnswer: p**(16\/387)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 2*b + 9 + 6 = 0, -3*g + 3*b + 9 = 0. Suppose -g*s + 124 = s. What is the remainder when s is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -143682.03 * -0.2\nAnswer: 28736.406","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -3*h + 7 + 2*h + 0*h. Let t(b) = -1. Let y(q) = -q**2 + 8*q + 8. Let f be y(9). Give f*z(u) - 6*t(u).\nAnswer: u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1436 a factor of 2080764?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -645, -1695, -1849, 195, 5739, 16085?\n\"Answer: 217*s**3 - 854*s**2 - 7*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 368?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -345\/2 - -180. Let w be 2\/3 - 140\/3. What is the common denominator of w\/(-12) + -7 + 8 and u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the first derivative of z**3\/3 + 3*z**2 - 243*z - 33. Does 8 divide h(-33)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.048 - 0.048. Which is greater: 2\/61 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 21.3057 and 0.5.\nAnswer: 21.8057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -338*l - 361*l + 699*l + 7201*l**2 + 1047*l**2.\nAnswer: 8248*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 5*c + 18 = 0, 30*w - 28*w + c = 34. Suppose 4*z + 11 = 2*x - 211, 5*x - 544 = -z. What is the remainder when x is divided by w?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*f + 179227 + 180374 - 360738.\nAnswer: -2*f - 1137","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 534*i - 4. Let k be w(2). Let b = k - 663. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 26\/3 + 47\/6. Let x = 295\/18 - i. Which is the smallest value? (a) x (b) -1\/4 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -58569541542 and -3.\nAnswer: -58569541545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 2*c**3 - 60*c**2 + 455*c - 3930. Calculate n(24).\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1275 divided by 51\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3784 + 2?\nAnswer: 3786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 + 2*t - 2 + (3 - 1 - 6)*(-9*t - 17*t + 0*t) + 0*t - 3*t + 5*t - 3 - 3*t + 3.\nAnswer: 105*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 2*u = 63. Let t be (u\/(-12))\/((-2)\/8). Let q = -15 + t. Solve 0 = 4*h - q*h + 8 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 115, 4, -4, 2.\nAnswer: -4, 2, 4, 5, 115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -6093\nAnswer: -1\/6093","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -17? (a) 3 (b) 17 (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3388, 13543, 30458, 54127, 84544, 121703, 165598, 216223?\nAnswer: 273572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u*u\/(u\/(u\/(u**(-26)*u))*u)*u)\/u*(u\/(u*u**(-6\/5)))\/u)\/((u\/u**(-20))\/u*(u*u\/((u*u**9*u)\/u)*u)\/u))**29 assuming u is positive.\nAnswer: u**(2204\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 162.00000269 + -162. What is n rounded to 7 dps?\nAnswer: 0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the third derivative of -x**6\/120 - x**5\/5 - x**4\/12 - 6*x**3 - 9046*x**2. Calculate c(-12).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17037986 is divided by 250?\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 433 a factor of 41568?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - -3 - (-35 + 33).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 87694a + -8?\nAnswer: 876942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0223540303 to six decimal places.\nAnswer: 0.022354","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ivv when three letters picked without replacement from itiibtkitvutikttiv?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, a: 2, x: 1}. What is prob of picking 2 a and 1 x?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -8*d + 285. Let o be f(34). Solve -g + 9 = o for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 2 + 3)*(19*k + 13542 - 13542 - 40*k**2) - 3*k + 0*k + k - k**2 as c*k + r*k**2 + m and give c.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -331 + 330.8. Let g = -91 - -94. Let q = 17\/7 + -207\/91. Which is the fourth smallest value? (a) u (b) g (c) -0.4 (d) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c + 45 = 5*a, c = 2*a + 398 + 399 - 800 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8598 divided by 6.\nAnswer: -1433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 3*l + 3. Let o be g(-7). What is o rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 2*i + 2. Let m be v(-4). Let d be m\/(-15) - (-41998)\/5. Round d to the nearest 1000.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes after 8:42 AM?\nAnswer: 4:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8.62 + 11.62. Let z = -11 - -20. Suppose 2*r - 3*u + 1 = z, 4*u = -16. What is the nearest to -0.1 in -2\/7, r, a?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (56*w**2 + 9*w**2 - 9*w**2)*(2*w**2 - w**2 - 4*w + 4*w).\nAnswer: 56*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**2 + 7*v - 40. Suppose -4*q - 58 = -2*i - 22, -5*i = 5*q - 15. Calculate the remainder when u(-12) is divided by i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-38)\/(-95)*-3*(-10)\/6. Let t be 1*(-1 + 37 - x). What is the greatest common divisor of t and 646?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -50*a*o*q + 5*a*q + 5*a + 2*o*q + 2*o + 451*q + 2 wrt a.\nAnswer: -50*o*q + 5*q + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddbdddddbbb. Give prob of picking 2 b.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 23a + 62371?\nAnswer: 625ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 5*s. Let q = 18 + -4. Let z(l) = -3*l**2 + 7*l. Let h(t) = -t**2 + 2*t. Let p(j) = q*h(j) - 4*z(j). What is v(p(o))?\nAnswer: -10*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 27*p**3 - 4*p**3 + 3*p**3 + (3*p - 3*p - p)*(5*p**2 + 7*p**2 + 0*p**2) + p**3 - p**3 - p**3.\nAnswer: 13*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-74)\/(-3))\/(2\/(-1)))\/(24524\/73572)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 4452*h + 50. List the prime factors of r(1).\nAnswer: 2, 2251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -3*j**4 - 624*j**3 - 31101*j**2 + 148188*j + 707868 = 0.\nAnswer: -106, -3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -59, -28, 53, 208, 461, 836, 1357?\n\"Answer: 4*q**3 + q**2 - 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2385 and 186\/(-434) + (-14846)\/(-14)?\nAnswer: 9540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the second derivative of w**3\/6 + 2*w. Let v(i) be the second derivative of 0 - 33*i + 0*i**2 - 17\/6*i**3. Give v(k(x)).\nAnswer: -17*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 146, 584, 1308, 2312, 3590, 5136?\nAnswer: 6944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-9722)\/(-4)*-51 + (-6)\/(-12). Let d = u + -31845. What is d rounded to the nearest ten thousand?\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((5 + 0 + 0)*-2)\/(-2). Let j(m) = 4*m**3 + 6*m**2 - 4*m + 1. Is j(d) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21 (base 8) to base 9.\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/794 (b) -0.3 (c) -0.21 (d) 4 (e) 1\/6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the third derivative of 7*d**6\/10 + d**4\/8 + 5*d**3\/3 - 54*d**2. Find the second derivative of a(f) wrt f.\nAnswer: 504*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -0.11 (b) 5\/4 (c) -3 (d) 0.22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -79*r**2 - 218689*r - 3 + 218689*r as d + w*r + h*r**2 and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(24\/(-45))*(42\/(-7))\/(-54)?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 3)*(5*c - c - c)*(-6*c + c + 4*c).\nAnswer: -6*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.95 - -0.05. Let y(r) = r**2 - 7*r + 7. Let v be y(5). Let x = -7 + 5. Sort x, a, v in decreasing order.\nAnswer: a, x, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3489124 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16160 + -16164. Let a(j) = 4*j**2 + 4*j - 5. Let x(b) = -3*b**2 - 5*b + 6. Calculate k*a(l) - 3*x(l).\nAnswer: -7*l**2 - l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -7*k**2 + 2*k. Let b(w) = 6*w**2 - w. Let h(p) = 4*b(p) + 3*y(p). Let r(t) = 2*t**2. Calculate h(r(z)).\nAnswer: 12*z**4 + 4*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.3 - 1.3. Let z = 0.029 + 3.971. Let k = 76 - 73. Which is the third biggest value? (a) z (b) f (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -12630, -12259, -11888, -11517?\n\"Answer: 371*p - 13001","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 39 - 25. Let n = r + -6. Calculate the greatest common divisor of n and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10.11 - -13.89. Let t = 0.1 + 4.9. What is the nearest to -1\/2 in -5, r, t?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -545d - 2?\nAnswer: -5461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 3 + s - 3. Let r(x) be the second derivative of 11*x**4\/2 + 1157*x. Calculate r(o(m)).\nAnswer: 66*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.10187659 rounded to five dps?\nAnswer: -0.10188","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-725)\/(-580) + 1 + 63\/4. Solve q*m - 19*m = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -610026*j**3*v**3 - j**3*v**2 - j**3*v - 33*j**2*v - j**2 + j*v**2 - v + 1135 wrt v?\nAnswer: -3660156*j**3*v - 2*j**3 + 2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/8 + 1\/(-4). Suppose d = -5*x - 2*i + 8, -5 = -x + 3*i. Suppose -3*q + 7*s - 12 = x*s, -3*s = 2*q + 8. Which is greater: q or -5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5693 + -5692. Sort 15, 204, n.\nAnswer: n, 15, 204","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the second derivative of 0*n**2 + 4\/3*n**3 - 1\/15*n**6 + n - 11\/6*n**4 + 13\/20*n**5 + 5. Solve a(s) = 0 for s.\nAnswer: 0, 1\/2, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/((((f*f*f**(2\/7))\/f*f)\/f)\/f))**(2\/83)*(f**1\/f)**38)\/((f*f**1*f)**42)**4 assuming f is positive.\nAnswer: f**(-292814\/581)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 86552.\nAnswer: 2, 31, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (2\/10)\/(6\/1340)*(2 + 19) and 268.\nAnswer: 1876","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2825281116?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3 + -1 + 1 - -2471. Let h be (-2)\/((-4)\/b*2). Let u(v) = 2 - 616*v**2 + h*v**2 + 1 + 6*v. Give u(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -4*r**2 + 28*r - 3. Let u(x) = 7*x**2 - 68*x + 6. Let p(t) = 3*u(t) + 7*w(t). Let q(n) = 8*n**2 + 9*n + 3. Give 6*p(v) + 5*q(v).\nAnswer: -2*v**2 - 3*v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11978*g = -11995*g + 8942. What is the remainder when g is divided by 158?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**3 - 4*m**2 - 6*m + 7. Let y = 3 + 2. Let j be l(y). Let i = -6 + j. Sort 2\/3, i, -1.\nAnswer: i, -1, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 21 - 17. Let w be (1\/j)\/((1 + -10)\/(-72)). Solve -o = -2*y - w, 2*o - 5*y - 5 = 5*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from {e: 2, y: 1, x: 1, n: 3}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -24 - -33. Suppose 2*f - j = 7. Suppose f*l - 364 = 4*l. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 23 - -17. Let c = q - 40.033. What is c rounded to 2 decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9982*r**2 - 9970*r**2 + 19959*r**2.\nAnswer: 7*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3600 = -18*g - 11*g + 179*g for g.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -39863.34008 to the nearest ten.\nAnswer: -39860","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 12 = 3*r. Let c be r\/(-15) - 36\/10. Let s(l) = 2*l**3 + 3*l**2 - 3*l + 1. Let w(u) = -2*u**3 - 4*u**2 + 4*u - 2. Determine c*s(d) - 3*w(d).\nAnswer: -2*d**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -496.64 + -0.3.\nAnswer: -496.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.023 + -2.023. Let d = k + 3. Which is the nearest to d? (a) 5 (b) -0.4 (c) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 l, and 1 e when three letters picked without replacement from {l: 5, d: 2, b: 7, z: 3, g: 2, e: 1}.\nAnswer: 7\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 477625?\nAnswer: 5, 3821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes after 12:41 AM?\nAnswer: 10:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 8\/(-20) - (-74)\/10. Suppose 2*h - u*h = 40. Let d(x) = -6*x + 10*x - x + 31 - 20 + x. What is d(h)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*i + 1427 - 244 = 0. Suppose 2*o = 6*o - 8792. Let q be o\/i - (-2)\/(-13). Solve 5*m = -4*g + q, 4*m - 17 = -g - 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, 6, -2349168?\nAnswer: -2349168","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l + h + 9, 2*h + 8 = 2*l + 6. Suppose -l*m - 11 - 3 = -4*a, 0 = 3*a - 5*m - 21. Is (-1)\/a - 362\/(-4) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2\/155 (b) 72 (c) 440\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 x, and 1 y when three letters picked without replacement from yxxyxvyvynvnvxvnnvyn.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9605 is divided by 63?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lq when two letters picked without replacement from qlqq.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**3 - 7*n**2 - 7*n - 9. Give x(-4).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2 + (-12)\/(-8))*6. Solve -x + f = 5*d - 4*x, 5*d - x = 17 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 670298129 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g - 4*g + 6. Suppose -35 = -5*f - 25. Solve g = -f*n - 8 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1\/12, -5\/6, -0.05, -1\/4?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the first derivative of 29*t**5\/5 - 5*t**2 - 18. What is the second derivative of h(w) wrt w?\nAnswer: 348*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 650?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -50209, -100418, -150629, -200842?\n\"Answer: -p**2 - 50206*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-3)\/(-6) - 1)\/((-6)\/60). Suppose -262 = -c*m - 4*n, -m - 4*m + n = -272. Put -1, 2, m in ascending order.\nAnswer: -1, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 6204060?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-582)\/3298 + (-741458)\/(-17)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/n**(-2)*n\/(n*n*n\/n**2)*n**7\/n**(-5\/2) assuming n is positive.\nAnswer: n**(25\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ldjdhhhhzdhjjhhhd. Give prob of picking 1 j and 1 h.\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 3*x = -22 - 23, 0 = -4*n + 5*x + 85. Suppose n*w - 11*w - 40 = 0. What is the second derivative of 7 - 17 - 13*z + w + z**2 wrt z?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1 (b) 3\/7 (c) 0 (d) 1\/4 (e) 3\/23 (f) -39\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z**4 - 22*z**3 + 157*z**2 - 396*z + 324 = 0. What is z?\nAnswer: 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13412 and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3*(-28)\/12 + -3 + 2 + -1. Solve 3 = -3*a - 3*u, -30*a - p*u - 17 = -31*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*d + 501 = 21 - 300 for d.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) -3\/5 (c) 14\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o + 6. Let a be l(3). Let m be (-1)\/(-6) + 0 + 0. Let x = -448 + 447.6. Put a, m, x in ascending order.\nAnswer: x, m, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -71*l**3 - 93?\nAnswer: -213*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -796*a + 764*a - 448 for a.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 2*q. Suppose -2*c + 3*g + 12 = 0, 2*g + 8 = -2*c - 0. Let h(d) be the second derivative of 8*d + 0*d**3 + 0 + c*d**2 - 1\/3*d**4. What is h(a(w))?\nAnswer: -16*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 14\/5 (b) -5 (c) -1 (d) -4 (e) -789 (f) 2\/3 (g) 113\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -25 - -17. Let v(y) = y**2 + 8*y + 5. Let q be v(r). Let i(b) = 8*b + 5. Is i(q) a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4373065327 to the nearest integer?\nAnswer: 1635","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*g + 5*b - 22, -2*g - 3*b - 10 = 2*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 732*u + 6423 - 571 - 728 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 1099 = -701. Let w = a - -402. Let p = 277 + w. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17372 divided by -8686.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 23*p**2 - 244*p + 143. Calculate b(10).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 163.5 + 16\nAnswer: 179.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - j = -4*i + 16, j - 52 = 5*i. Suppose -4*s + 24 = 3*o, -o - 3*s = -5*o + j. Let c be 1\/(-5) - o\/10. Which is smaller: c or 0.03?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 202630657 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the third derivative of -719*s**6\/120 - 260*s**3\/3 + 442*s**2. Differentiate y(p) with respect to p.\nAnswer: -2157*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 times -4778476\nAnswer: -14335428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*y - y + 30 = -5*a, -3 = 5*a - 4*y for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + -5 - -2) + 2 + 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2*1 - (-7 - -6). Suppose -b*h + h = 0. Solve 5*u = -3*p + 1, h*u - 3*p = u - 5 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 1160 = 3*u + 27, u - 391 = -3*w. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -1) + 6 + -15 + 6?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 2*z**2 - 15*z + 13. Give g(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from nsssnztnstttnttttn?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 27.4368 plus -7188246?\nAnswer: -7188218.5632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.8 (b) 4 (c) -1\/413 (d) 5 (e) 21 (f) 3 (g) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10449702 is divided by 4481.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 + 31103?\nAnswer: 31032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000455 to 5 dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15898603?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(48\/15 - 3). Let l(a) = -2*a - 3. What is the units digit of l(g)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes before 10:38 AM?\nAnswer: 3:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) -5 (c) 2\/5 (d) 2\/17 (e) -3\/2462231 (f) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/3 of a year?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5613, 7890, 14177, 26478, 46797, 77138, 119505, 175902?\nAnswer: 248333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -9*w - 28. Let v be y(-7). Let s(p) = -35 + v + p. Let k(r) = -r - 1. Determine k(s(h)).\nAnswer: -h - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -367*a + 9 = 3*y - 363*a, -5*y - 3*a + 3 = -4*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a = -28*t + 24*t - 15, 20*a + 167 = -3*t + 37 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 8.48514 litres?\nAnswer: 8485.14","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36707.\nAnswer: 11, 47, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000025207 to seven decimal places.\nAnswer: 0.0000252","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 419088 - 419088 + 2*l. Let m(c) = -c**2 + 2. Let x(w) = 1. Let z(p) = -3*m(p) + 6*x(p). Calculate z(q(r)).\nAnswer: 12*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 c when two letters picked without replacement from {n: 4, c: 2, x: 3}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, 41, -207 in ascending order.\nAnswer: -207, -19, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/156724 and -67\/5054349.\nAnswer: 20217396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 560341\/887 or 632?\nAnswer: 632","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -234818 divided by 3.\nAnswer: -234818\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 9, 11, 21, 45, 89, 159?\n\"Answer: q**3 - 2*q**2 + q + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Do -5\/894317 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-6)*(-83)\/415)\/((-2)\/6)*-115\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-16)\/(-2) + (-8)\/2. Solve -u*p + i = -15, 5*p + 5*i + 0*i = 50 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**3 - 19*z**2 - 1190*z + 866. Calculate y(45).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 60141 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = c - v - 601, -c = -2*v - 197. Suppose 5*a + 4*r + 637 = 0, 4*a + c = 5*r - 284. List the prime factors of (8\/(-10))\/(2\/a).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13 + 9. Suppose -c - 2*c - 21 = -3*v, -5*v + 27 = -c. Let r = 2.6 + -2.3. What is the nearest to 2 in r, c, u?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - 4*806\/(-468).\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*f**3 + 22 - 11 - 11.\nAnswer: 6*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -195773629 or -195773628?\nAnswer: -195773628","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the first derivative of d**6 + d**2 + 3. What is the second derivative of a(v) wrt v?\nAnswer: 120*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7570 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: Two letters picked without replacement from {u: 1, l: 2, h: 1, b: 1, m: 2, i: 2}. Give prob of sequence uh.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 610 - 609.9904. What is w rounded to 4 decimal places?\nAnswer: 0.0096","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2958057?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -87 - -86. Let w be q\/(-2)*(-4 - -4). Solve 0 = -w*b - b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12ba7c7 (base 13) to base 4.\nAnswer: 112202013002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 971007?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -41*t + 83. Give n(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.01, 9, 5365, 178, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 604 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4188*o = -2110*o - 1900*o - 7476 for o.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes before 8:46 AM?\nAnswer: 1:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 117038*l - 124. Let v(n) = 4*n. Calculate v(g(q)).\nAnswer: 468152*q - 496","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 481 from 899900970.\nAnswer: 899900489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 59.85469cm?\nAnswer: 598546.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -15529 less than 152334?\nAnswer: 167863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -18454 divided by -4?\nAnswer: 9227\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14.3 + -14. What is the smallest value in q, -3\/11, 0?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -2828632.\nAnswer: -1\/2828632","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 295774981 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -7*f - 2*f - 10 + 0 + 4 - f**2. Let w be x(-8). Solve w + 4 = -2*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-46 + 164 + 236)*(-442*v**4 + 442*v**4 + 49*v**5).\nAnswer: 17346*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (99*w + 2 - 95*w - 3)*(0*w**4 + 0*w**4 - 2*w**4).\nAnswer: -8*w**5 + 2*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (6*((-2 + sqrt(192))*4 - (2 + (sqrt(192) - -2*sqrt(192)))))**2*1*1.\nAnswer: -5760*sqrt(3) + 10517","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 70 + -54. Suppose 0*g + s = -3*g - 4*l, -8 = -4*g + 2*l. Let y be 4\/(-10) + g + (-17)\/(-5). Let d(w) = w**3 - 2*w**2 - 4*w + 3. Determine d(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.5 + -732.61.\nAnswer: -735.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10474*k**2*u**3 - 2*k**2*u**2 - 577*k**2*u - 83*k*u**4 + 10*k*u**2 + 3*k - u**4 wrt u.\nAnswer: -62844*k**2 - 1992*k*u - 24*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - z = 15, 5*a - 7*a = 3*z + 11. Solve a*j - 4*j + 2 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -4013, -4164, -4315, -4466, -4617, -4768?\n\"Answer: -151*t - 3862","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 29887 and 143.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 - 0.3. Let m = -0.7 + a. Let x = 6 + m. Which is bigger: x or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 8655, 70000, 236459, 560574, 1094887, 1891940?\n\"Answer: 8757*d**3 + 15*d**2 + d - 118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7709 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: Suppose 2*b + 9 = w - 54, -w = 3*b - 78. What is the remainder when w is divided by 39?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -818*p - 34*w = -827*p + 249, -4*w = 3*p + 9 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -903*k + 4173*k + 4801*k + 1257*k in the form g*k + f and give g.\nAnswer: 9328","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**6 - q**3 - q**2 + q. Let z(s) = -10*s**6 - 2*s**3 - s**2 + 2*s. Let a(h) = -2*r(h) + z(h). Find the third derivative of a(u) wrt u.\nAnswer: -1440*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 161 and 4385479.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0804342 weeks in milliseconds?\nAnswer: 48646604.16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -50*v**2 + 11*v + 10. Let k(u) = 10*u**2 - 2*u - 2. Suppose -4*t = -5*y + 44, -25*t + 30*t - 2*y = -55. What is t*k(f) - 2*m(f)?\nAnswer: -10*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the second derivative of -4*u**3\/3 - 54*u. Let s(w) = w**2 - 5*w - 5. Let k(g) = 4*g + 4. Let y(t) = 5*k(t) + 4*s(t). What is y(h(z))?\nAnswer: 256*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 4*j + 1. Suppose -u - 3*d - 5 = 0, -u + d - 1 = 2*d. List the prime factors of q(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 3611?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = s - 7, -43*i + 39*i + 2*s + 10 = 0. Suppose 4*k + 2*n + 104 = 0, 0 = -2*k - 3*n + 6 - 58. Let v be (k\/8)\/(2*-1). Which is smaller: v or i?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 - 8*b**3 + 10 + 3*b**3.\nAnswer: -5*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.755 to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 g when two letters picked without replacement from cncpnppgggppkgpgggp.\nAnswer: 14\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11249180 to the nearest integer?\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) 0.17 (c) 3.4 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1626\/8 - (-15)\/20. Suppose 4*b = -2*j + 76, 6*j - 4*b = j + d. What is the greatest common factor of j and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2577167 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 - 4. Suppose 0 = m*k + 2 - 4. Sort 3, -5, k in ascending order.\nAnswer: -5, k, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k + 25 - 30, 3*k + 130928 = 5*i. List the prime factors of i.\nAnswer: 5, 5237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 45.6634 tonnes?\nAnswer: 45663400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*a + 30. Let r(l) = -a*l**2 - 40*l + 25*l + 3*l**2 + 38. Let b be r(12). Solve s + 3*h + 2 = 0, s - 4*s - b = 5*h for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + 2*s = 0, -s + 3 = -265*v + 266*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*t + 62777 + 163*t**2 - 62777 + (-1 + 1 + 5*t)*(0 + 0 + 2*t) + 3*t**2 - 3*t**2 - t**2 to the form v*t**2 + g + a*t and give v.\nAnswer: 172","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 7078652474?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 41067530?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(637) + -1*sqrt(13) + 3 + (sqrt(1573) - (-1 + sqrt(1573) + 0))**2*2.\nAnswer: 8 + 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3135?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1*18*9\/36*2. Solve -m*d + 10*d - 1 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**2*c)\/(c**(2\/11)*c))**(1\/4) assuming c is positive.\nAnswer: c**(5\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Total of 247368336969 and -1.1.\nAnswer: 247368336967.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.8 + -2. Let f = -484.206 + 482. Let b = f + 0.806. Sort -0.5, q, b in descending order.\nAnswer: q, -0.5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the third derivative of y**5\/30 + 95*y**4\/54 + 7*y**3\/9 - 2*y**2 - 1248*y. Factor q(h).\nAnswer: 2*(h + 21)*(9*h + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*n - 2*n + n + (n - n - 2*n)*(0 - 1 - 2) + 42 + 20*n - 42 + (-3 - 2 + 3)*(-2*n - 2 + 2).\nAnswer: 26*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -2*m**2 - 7*m + 3. Let t(j) = j**2. Let u(q) = -t(q) - x(q). What is u(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 - -23 - (0 + -2 + 6).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -3*m**2 - 6*m + 3. Let u(n) = -5*n**2 - 11*n + 5. Suppose 11 = -5*k - 9. Suppose -14*t - 268 = -366. Give k*u(o) + t*r(o).\nAnswer: -o**2 + 2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 687359140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes after 11:30 AM?\nAnswer: 11:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-14)\/(-35))\/(-1*(-1)\/65). Is 25 less than or equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:30 AM and 10:35 AM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 315135 by 2115.\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.09 * 0.28287509\nAnswer: -0.0254587581","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -8876 divided by -2219?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, x: 1, o: 1, v: 1, t: 1}. What is prob of picking 1 t and 1 o?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2440 - -2442. Solve -4*d = -2*n - 2*n - 24, -3*n = -y*d + 16 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 16979955 and -29.\nAnswer: -492418695","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 34\/15 and -89\/50.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -14126196+-81613\nAnswer: -14207809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -9657 rounded to the nearest one thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 2*z**2 - 4*z + 1. Determine n(4).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 2 - r**2 + (-2*r - 24*r + 6*r)*(-4*r + 5*r + 5*r) + (-r**2 - 6*r**2 + 3*r**2)*(-2 + 1 - 2) to the form f*r**2 + x*r + u and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3152478*-5.\nAnswer: -15762390","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 2\/5 (b) -113 (c) -1 (d) -18 (e) 1\/2 (f) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 827568 and 499968.\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 6*d + 5. Is 5 a factor of v(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-51 + 89 - 44 - 2*u)*(0*u**4 + u**4 + 0*u**4).\nAnswer: -2*u**5 - 6*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 856.51 or -659?\nAnswer: -659","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 5*r**2 - 11*r + 10. What is the smallest common multiple of 871 and q(2)?\nAnswer: 6968","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the third derivative of -c**5\/3 - c**3\/6 + 2365*c**2. What is t(-2)?\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1380231331 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43 = -21*q - 22 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**2 + x - 1. Let i(z) = -30*z**2 + 24*z - 24. Let u(w) = i(w) - 24*o(w). Let a(t) = 2*t**2. Determine u(a(m)).\nAnswer: -24*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/32199726 and -29\/3.\nAnswer: 32199726","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -6118 divided by 6\nAnswer: -3059\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(104) - -3*(sqrt(104) - sqrt(104)*-2)) + sqrt(104))\/sqrt(8).\nAnswer: 11*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*f + 41*f + 3081790 = 0. Round f to the nearest one thousand.\nAnswer: -37000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**4\/w)**45\/((w\/w**(-2\/65))\/(w**17\/w)) assuming w is positive.\nAnswer: w**(9748\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2772.7 - -2772. Let o(t) = -2*t - 9. Let q be o(-6). What is the third biggest value in -0.1, u, q?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 25 and 3451345?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/6*(-3 - -3). Let v(p) = -179*p - 1. Let y be v(-1). What is the common denominator of (q - 1) + y\/8 and 43\/20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/3790 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the third derivative of q**5\/120 - 11*q**3\/6 + 23*q**2 - 4*q. Let a(d) be the first derivative of f(d). Let b(s) = -s**2 + 18. What is a(b(m))?\nAnswer: -m**2 + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 26 and 59293.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 14*c + 1. Let b be t(1). Let y = b + -9. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 359821 is divided by 433?\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/1 + -5 + 2. Let q be (10 - 6) + -1 + -1 + c. Factor -11*u**3 - 3\/4*u + 9*u**q - 1\/2.\nAnswer: -(2*u - 1)**2*(11*u + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 144 - 123. Let g(b) be the first derivative of -61*b**4\/2 + 2*b**3\/3 + 2*b**2 + 3*b - 10. What is the remainder when g(-1) is divided by o?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -10338*b - 2729227. Give o(-264).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3850 and 466950.\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -29708, -59357, -89006, -118655?\n\"Answer: -29649*z - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, e: 1, h: 9, t: 1, z: 5}. Give prob of sequence shst.\nAnswer: 1\/4080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the first derivative of -58*f**2 + 552. Let p(j) = -3 + 1 - j**2 + 2. Determine p(u(x)).\nAnswer: -13456*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes before 2:53 PM?\nAnswer: 1:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**3 - 12*n**2 + 10*n - 2. Suppose -69*m + 74*m - 49 = -3*t, 25 = 3*m + 4*t. What is g(m)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -89.595 + 230945.\nAnswer: 230855.405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 30 + -35. Let q(g) = -50 + 50 - 4*g. Let r(h) = -5*h + 1. Determine c*r(y) + 6*q(y).\nAnswer: y - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + o = -18, -3*y - 3*o - 10 = 14 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2900*k - 1 + 1 - 865*k - 569*k)*(8*k + 45 - 45).\nAnswer: -34672*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21147\/21465 - (-3 - (-5 + 1)).\nAnswer: -2\/135","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -3.356 and -0.3.\nAnswer: -3.656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 3, a: 5}. Give prob of sequence adaa.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*w + 80 = -w. Let r(v) = -v**3 - 9*v**2 - 7*v + 9. Calculate r(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -111*q**3 - 2*q + 1360.\nAnswer: -333*q**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 3212 = 2*d, 4255 = 2*d + t + 1048. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:13 PM and 7:52 PM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-13)*3874\/(-298)*(-3)\/(-13)\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -60 in -13, -2\/33, 2, -5?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -37*w**2 + 803*w + 32. Determine p(23).\nAnswer: -1072","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4003 + 22323?\nAnswer: 31331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 210 + -141. Let g = -2.189795021 + -66.810204649. Let h = g + d. What is h rounded to seven decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 16 = -1. Put 5, -5, b in decreasing order.\nAnswer: 5, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -310\/111 - -107029\/38628. What is the common denominator of -179\/870 and g?\nAnswer: 5220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 55, 295, 843, 1819, 3343, 5535, 8515, 12403?\n\"Answer: 20*b**3 + 34*b**2 - 2*b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -459, -1536, -3345, -5880, -9135, -13104?\n\"Answer: j**3 - 372*j**2 + 32*j - 120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -21, -19, -5, 27, 83, 169, 291?\n\"Answer: y**3 - 5*y - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**4 - 24*y**3 + 85*y**2 + 108*y.\nAnswer: -y*(y - 4)*(y + 1)*(y + 27)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8.7 - 8.33. Let d = -0.47 + n. What is the third biggest value in -8, -4\/7, d?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 254 + -248. Let z(y) = 34*y - 156. Does 16 divide z(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*r + 53*r - 3647*r**2 + 3644*r**2.\nAnswer: -3*r**2 + 56*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 190*c = 191*c - 2*u - 2332, -5*c = -5*u - 11685. What is the tens digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the third derivative of -583*w**6\/40 - 932*w**3\/3 - 709*w**2. What is the first derivative of d(z) wrt z?\nAnswer: -5247*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24079 and 26983.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 80468?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -133*r + 116*r + 68 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 117 = -21*a - 82 + 10 for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = -2*r + 145. Suppose -13*w + 11*w = -r. Suppose -38 = -5*n + 7. What is the remainder when w is divided by n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 - -9b551?\nAnswer: 9b555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34840351.\nAnswer: 7, 13, 382861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z - d - d - 17, -3*d = -4*z. Let l be ((27 - -3)\/z)\/1. Let k = -2 - l. What is the remainder when 14 is divided by k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -41 less than -1229\/31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, -5\/4, 0.00763, -3\/4?\nAnswer: 0.00763","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6270 - 6266. Sort 4\/11, 79, q in descending order.\nAnswer: 79, q, 4\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 180\/22 - 2\/11. Suppose 2*i - 6 = a. Is 2 + 1 + i*58 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, l: 7, d: 2}. Give prob of picking 2 r.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 477491.1l in millilitres?\nAnswer: 477491100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 297720 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: Does 120 divide 85590960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 1 - 8*w + 11*w - 10*w. Let i be p(-3). Let s be 150 - (-7 - (1 + -4)). What is the greatest common divisor of i and s?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/13 in 1054, -1, -0.5, -6, 8?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 28*q - 29*q. Let t(m) = -469148 - q*m + 3*m - 2980852. Let v be t(0). What is v rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 20*r**2 - 35*r - 26. Let h(m) = 7*m**2 - 12*m - 9. Let v(f) = -6*g(f) + 17*h(f). List the prime factors of v(3).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 271 - -306655?\nAnswer: 307146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 2*q**2 + 2*q - 8. Suppose -d = 5*z - 0*d + 23, 2*z + 17 = -3*d. Calculate f(z).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*-2*((-96)\/(-448))\/(18\/105).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 4 = 3*d + 1, -5*d + 41 = 4*s. Factor 3*a**2 - 4*a - a - a**s + 40 - 58 + a**3 + 20.\nAnswer: -(a - 1)**3*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1756*b - 1690*b - 3703 = 1708*b - 4993*b for b.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 4*c = 5, -20 = -5*x + c - 0. Is x a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**5\/5 - 8*u**4\/5 - 6*u**3\/5.\nAnswer: -2*u**3*(u + 1)*(u + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1284, 2850, 4418, 5988, 7560?\nAnswer: 9134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1979037?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve r = 7*t - 9, -3*t + 492*r - 983*r + 45 = -496*r for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 19 - 58*s**2 - 19. Let m(k) be the third derivative of k**5\/30 + 41*k**2. Calculate b(m(y)).\nAnswer: -232*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00047322 to 4 decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -430 + 429.7. Put p, -5, 5, 0.09 in ascending order.\nAnswer: -5, p, 0.09, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-376)\/34 - (-41)\/697.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4533 - 4533. Let i(a) be the first derivative of 0*a + t*a**2 - a**4 + 15 - 4\/3*a**3 + 4\/5*a**5 + 2\/3*a**6. Let i(o) = 0. Calculate o.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -8 (b) 6 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 21246*j*l - 9815934*j + 4*l**3 - 4*l wrt l.\nAnswer: 21246*j + 12*l**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-12)\/o)\/o*o*o*o**(1\/5))**(-33) assuming o is positive.\nAnswer: o**(1947\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 m when two letters picked without replacement from nmggmngwgmxmwg?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/3*40\/(-90)*1?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 9749\/3 and 3250 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 80.51082 to one dp.\nAnswer: 80.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1486417637 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((43\/(-129))\/((-12)\/(-2)))\/((-10)\/20)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 129 and 559?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + q - 2*g = 76, 0 = -4*q - g + 157. Suppose 9 = -4*k - q. Is (-1110)\/k - (-6)\/(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.11 + -0.29. Let n be (-4)\/(-28) + (-20)\/(-7). Which is the second smallest value? (a) -4\/3 (b) n (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the third derivative of 13*x**6\/30 + x**5\/60 - x**4\/24 - 3*x**2. What is the units digit of z(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13341244 (base 5) to base 7.\nAnswer: 1110430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00006322947 rounded to five dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3 + 3 + (-8 - -2). Let g(d) = d**3 + 34. Let l be g(r). Suppose 2*i = -2*i + 2*m + l, 13 = 3*i + m. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*a + a + 5*a)*(2 - 6 + 0)*(4 - 4 + 1) - 2 - a + 2 in the form w + l*a and give l.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - 2\/(12\/(-27)) - 13454\/868?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1162960 and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:01 PM and 3:37 PM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 258 - 110. Is d < 148?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 24*l**2 + 6*l - 6*l. Let y(w) = 20 - 9 - w**2 - 11. Determine y(o(v)).\nAnswer: -576*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.6599963 and -0.5.\nAnswer: 0.32999815","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 88238657.\nAnswer: 13, 6787589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**3 - 267*p**2 + 3096*p - 9180.\nAnswer: (p - 255)*(p - 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2635 or 2636?\nAnswer: 2636","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, t: 1, v: 2, g: 1, z: 4}. What is prob of picking 1 g, 1 z, and 2 b?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -u**4 + 4193608*u**3*w**3 - 2*u**2*w**3 + 947*u**2*w + 660*u wrt u?\nAnswer: -24*u + 25161648*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the second derivative of -b**3\/2 + b**2 + 7*b. Let w be 2 + (-3)\/((-12)\/4). Suppose -5 = w*u - 11. Calculate l(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bn when two letters picked without replacement from {b: 4, f: 4, d: 1, t: 1, n: 1}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 38 - 34. Suppose -6 = v*i + 4*h, -3*h + 6 - 12 = 0. Solve 4*m + g = -m - i, -5*g = -m - 21 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 92, 2, -3, 3 in increasing order.\nAnswer: -3, 2, 3, 92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 2*j + 9, -5*j + l + 40 - 73 = 0. What is the fourth smallest value in 0.2, -1\/15, 1\/2, 5, j?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 + (3 - 0) - 4) + 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -70.108 to the nearest integer.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 766687, 3066764, 6900229, 12267082, 19167323, 27600952, 37567969?\nAnswer: 49068374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -175, -1299, -4343, -10267, -20031?\n\"Answer: -160*k**3 - 4*k - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that l**2\/3 - 1056379*l\/3 - 1056382 = 0.\nAnswer: -3, 1056382","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*b**2 + 0*b**2 - 2*b**2)*(-2*b - 3*b + 3*b) + 5*b**3 + 10*b**3 + 3*b - 9*b**3 in the form o + h*b**3 + k*b**2 + y*b and give h.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -15 + 35?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -87 - -53. Let a be (55\/3)\/((-3)\/9). Let l = u - a. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1980, 1975, 1970, 1965?\nAnswer: 1960","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -344745 (base 9) to base 15\nAnswer: -41495","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**2 + 7*i - 4. Suppose -14*m - 13*m = -27. Let v be (-3 - m - 126\/(-9)) + -5. Determine l(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 15925632 and 72.\nAnswer: 47776896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**2 + 48*w - 2435. Suppose 0 = -5*k - 2*n + 877, 0*k + 5*k - 905 = 5*n. What is the remainder when k is divided by s(31)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 19 - 11*s - 8*s + 15*s. Give w(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7854\/19 - -39289\/95. Find f such that -1\/5*f + 4\/5*f**2 - 6\/5 - y*f**3 = 0.\nAnswer: -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 672704 + -4?\nAnswer: 672700","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**3 - 4*o**2 + 8*o + 6. Let w be c(-5). Let l = 14 + w. What is the remainder when l is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 760214.\nAnswer: 2, 7, 13, 4177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*(-63)\/36 + (-186)\/(-26)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 440966, 440964, 440962, 440960, 440958, 440956?\nAnswer: 440954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w - n + 43, -3*w - 52 = -3*n + 11. Is (4 - w)\/((-2)\/(-7)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*u**4 + 180*u**3 - 3663*u**2 - 3796*u - 960.\nAnswer: (u - 16)*(u + 60)*(2*u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2 + 2*q**3 + 0*q**3)*(11*q**2 + 504*q - 504*q).\nAnswer: 22*q**5 + 33*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 u when two letters picked without replacement from {v: 1, u: 2}?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-53.\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.5004 - -0.0996. What is the nearest to v in -4, 1\/8, 0.07, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 4*m - 14, -3*n + m + 6 + 3 = 0. Suppose 7*a - n*a = 20. Let k(y) = a*y - 3 + 2 - 10*y + 7*y. What is k(-3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 346336.51 to the nearest one hundred thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -1851*i - 40923. Determine z(-22).\nAnswer: -201","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 10) to base 12\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 + 7. Suppose -6*j + 1 = -2*j + l, 2*l = a*j - 10. Solve -j = m - 3 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 62 - 3*l**4 + 101054*l - 101056*l + 9*l**4 to the form j*l**3 + o + y*l + x*l**2 + a*l**4 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - (-2 + -1)) + -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppbplllpp. What is prob of picking 1 l and 1 p?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -819159, -1638317, -2457475, -3276633?\n\"Answer: -819158*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -563622, -1127231, -1690842, -2254455, -2818070, -3381687, -3945306?\nAnswer: -4508927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 14991 - 14977 - 2*t + 8*t in the form u*t + n and give n.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 + 2 - ((4 - -49) + -73)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2316 and 13510.\nAnswer: 386","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 17116 - 1039 = m, 32157 = 4*j + 3*m. List the prime factors of j.\nAnswer: 3, 19, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19745 divided by -3949?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 242067 is divided by 582.\nAnswer: 537","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 9579.234 litres?\nAnswer: 9579234","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -7*h**2 - 3*h - 5. Let t(x) = -69*x - 71. Let z be t(-1). Let a(q) = 3*q**2 + 2*q + 2. Determine z*c(l) - 5*a(l).\nAnswer: -l**2 - 4*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -81 + 114. Suppose y = z + 8. List the prime factors of z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.005 * 0.5.\nAnswer: -0.0025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2 - 1) + 50\/18. Let a(z) = 4*z**2 - 7*z. Let n be a(9). Let f = n - 4435\/17. What is the smallest value in o, f, 2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -88.5 + 15.5. Let w = 72.999988 + a. What is w rounded to 6 dps?\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**3 + 46*f**2 - 240*f - 288.\nAnswer: -2*(f - 12)**2*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 145*r = -102 - 56 - 132. Let z(x) = 5*x**2 - 12*x - 5. Let q(v) = -4*v**2 + 13*v + 4. Calculate r*z(b) - 3*q(b).\nAnswer: 2*b**2 - 15*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 22124535 to the power of 1\/4, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f + 17. Suppose -4*q - 55 = -19. Calculate the lowest common multiple of 9 and z(q).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -81 - (-7 + 3 + (-48 - -19))?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 + (-4)\/8*-10. Let c(s) be the third derivative of -s**6\/120 + s**5\/12 - s**4\/8 - s**3\/3 - s**2. Calculate c(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 33, 174, 543, 1254, 2421, 4158, 6579?\nAnswer: 9798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 445618 or 13814136\/31?\nAnswer: 13814136\/31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 126 and 38706318.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 - (6 + -1 + -1). Let v = -29 - -24. Sort 2, v, 1, m in descending order.\nAnswer: 2, 1, m, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 33 by 4992.\nAnswer: 11\/1664","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75 = 31*a - 6*a. Let x(k) be the first derivative of 0*k + 0*k**a + 0*k**4 - k**5 + 3\/2*k**2 - 9. Find the second derivative of x(u) wrt u.\nAnswer: -60*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 13184\/9 - 2\/9*l**3 + 808\/9*l**2 + 6560\/9*l = 0. Calculate l.\nAnswer: -4, 412","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1\/43, 0, 1\/3, 4, 3\/50?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*c - 238 = -5*c for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:15 AM and 7:01 PM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 135010 and 4508747?\nAnswer: 587","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 27.2 + -32.2. Let h = 13 + -8. Put j, h, -3\/5 in decreasing order.\nAnswer: h, -3\/5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 191392 divided by 47848\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**2 - 56*o + 421. Let c be p(47). Let f be 2 + (-6)\/(-2)*-2. Let d be 8\/f*(-1)\/(-3). Which is greater: c or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 - 0.0756299.\nAnswer: -0.0756299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:31 PM and 12:13 AM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 72530 divided by -14506?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2019 (base 10) in base 5?\nAnswer: 31034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -86*j**2. Let v(m) = m**2. Let u(p) = -s(p) - 4*v(p). Let b(q) = -29*q**2. Let k(n) = 18*n**2. Let g(c) = 3*b(c) + 5*k(c). Calculate g(u(l)).\nAnswer: 20172*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 15*l**2. Let j be h(1). List the prime factors of 3\/((-9)\/(-3)) + j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 k, 1 j, and 1 x when four letters picked without replacement from {x: 2, l: 1, g: 4, j: 1, z: 2, k: 5}?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the third derivative of 3\/392*g**8 + 0*g + 37\/420*g**6 - 2\/49*g**7 - 2\/21*g**5 + 0 - 2*g**2 + 0*g**3 + 1\/21*g**4. Factor x(v).\nAnswer: 2*v*(v - 1)**2*(3*v - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000778188574 rounded to seven dps?\nAnswer: -0.0000078","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5445 and 1243260?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 128 + 147*x - 373 + 158. Let h be s(3). What is the greatest common factor of h and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000700707 to six decimal places.\nAnswer: -0.000701","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -114*p + 1773 = 97 - 34 for p.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -8*q**2 - 86. Let u(z) = 79142*z. Determine i(u(s)).\nAnswer: -50107649312*s**2 - 86","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 5*p**2. Let n be i(-1). Let z = 4 + -7. Let o = n + z. Solve o*k = 8 + 2 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 279253 (base 12) to base 7.\nAnswer: 5412315","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 130634?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 152*d**2 - 13*d - 16. What is the hundreds digit of o(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57*i**3 + 57*i**3 - 243*i**3 + 69*i**3 + 58*i**3.\nAnswer: -2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1382 + 1412. Which is smaller: m or -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5190795 and 24831?\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1113745 times 0.1\nAnswer: 111374.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddjdj. Give prob of sequence jddd.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**2 - 4. Let r be b(-3). Let i(j) = -j**3 + 4*j**2 + 7*j - 5. Let p be i(r). Suppose -3 + 9 = 2*c. Solve -c = -p*w - 18 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-217)\/3348*-60*-6*7\/(-98).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25515 divided by -5.\nAnswer: 5103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 + -163\/15. Let a = -7875 + 7879. Solve 4\/3*w**a + r*w**3 + 4\/15 - 8\/5*w**2 - 2\/15*w = 0 for w.\nAnswer: -1, -1\/2, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 2*h - 1. Let j(g) = 309*g - 222. Let m(i) = -j(i) + 5*n(i). Find the first derivative of m(x) wrt x.\nAnswer: -299","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 234 is divided by 109?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3\/4*f**2 + 0 + 3\/4*f = 0 for f.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/12 and -5\/57?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2016.729793 rounded to the nearest one hundred?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/(-2)*(-8)\/6. Suppose 0 = -u*b + 2*p + 20, -3*b - 4*p + 42 = -p. Solve -9 = -2*w - c, -5*w + 9 + b = c for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f - 4. Let q = 14 + -6. Suppose q*d = 3*d + 30. Determine k(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -682, -1367, -2056, -2749, -3446, -4147?\nAnswer: -4852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*g - 61 = 4*g - 17. Solve v + g*v = 21 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + (8 - (-6 + 14)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 d when two letters picked without replacement from bjbbjdddbbbjdj.\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k + 2*k + 3*k)*(1 + 2*k - 1) - 7*k**2 - 2*k**2 + 2*k**2.\nAnswer: 7*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7 by 585.\nAnswer: -7\/585","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3117228686.\nAnswer: 2, 11, 13, 23, 473887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 350320 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 17, l: 1}. What is prob of picking 2 h?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:24 AM and 8:33 AM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nsnnfnsnfswvn. Give prob of picking 1 v, 1 s, and 1 w.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.01 + 1.00999999. What is l rounded to six decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.08534375 or 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71965.\nAnswer: 5, 37, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f + 8. Let s be x(0). Differentiate 8*w**3 + 4 + 8 - s wrt w.\nAnswer: 24*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7996614 divided by -3.\nAnswer: 2665538","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 2 + 1)*(-g**2 + 3*g**2 + g**2)*(-20*g + 20*g + 14*g**2) as l*g**3 + a*g**4 + x*g + q*g**2 + k and give a.\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*y + 22 - 8 + 8*y - 14.\nAnswer: 12*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -13.101 (b) 0.25 (c) 3\/2 (d) 4 (e) -0.13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -2*w**3 + 15*w**2 + 2*w + 27. Let r be (-64 + 14)\/(-2) - 17. Calculate d(r).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.1993 + -0.1863. Let q = 0.013 - f. Is q less than 0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.0029 + 4.1731. Let a = t + -4.1. Round a to 2 dps.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fourty-three halves of a millennium?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61483 is divided by 3764?\nAnswer: 1259","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1303, -21203, -75197, -180331, -353651?\nAnswer: -612203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 4*m = x - 40, -3*m - 57 = -5*x. Calculate the remainder when ((-7)\/(-3))\/(4\/60) is divided by x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 a factor of 1862472?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 5*t = -10, 11 = 3*t + 14. What is the remainder when 80 is divided by -9 + 4 - q - (-77 - 3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4559\/19 + -2857\/133. Let j = x - -261. Sort j, 1\/10, -2\/3, -5 in decreasing order.\nAnswer: 1\/10, j, -2\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6\/11, -0.4, 0.543.\nAnswer: -6\/11, -0.4, 0.543","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 3804343 * -3\nAnswer: -11413029","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 31 divided by -5742\nAnswer: -31\/5742","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/(-36)*(-180)\/60*54\/(-10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -57ee86 (base 15) to base 14.\nAnswer: -7b538c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 2*p**2. Let h(s) = -7196*s + 15604*s + 6679*s. Give h(u(o)).\nAnswer: 30174*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18009.\nAnswer: 3, 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 57959 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: Expand (0*l + 2*l + 2 - 7*l)*(-4*l + 2*l + 4*l).\nAnswer: -10*l**2 + 4*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the first derivative of 394*i**3\/3 - 14824. Let g(b) = 20*b. Give d(g(x)).\nAnswer: 157600*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*d - 758*i + 754*i, -5*d = -3*i + 6 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1.78, 3, -1\/3, 0.5, -29, 4\/5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 + 0 + (-16)\/10. Let j = -0.1 - 0.1. Let u = -0.16 + -2.84. Which is the third smallest value? (a) u (b) j (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**2 - 3*w. Let q(x) = x**2 - 1. Let s(b) = -2*q(b) - v(b). Suppose 6 = 5*y + 3*i - 5, -2*y = 5*i - 12. Let j = 1 + y. Determine s(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13\/70 + -2\/105. Let l(j) be the second derivative of 1\/18*j**3 - 1\/36*j**4 - 1\/60*j**5 - 2*j + 0 + u*j**2. Solve l(t) = 0 for t.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4638 + 5583 = -45*h for h.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iit when three letters picked without replacement from {u: 2, t: 3, i: 5, l: 10}.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 42*64\/(-22) - 2\/(-11). Let x = -111 - a. Calculate the common denominator of 1\/6 - ((-6666)\/(-180))\/x and -31\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 25768?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the second derivative of -1\/2*y**3 + 6*y + 1\/20*y**5 - y**2 + 1\/4*y**4 + 0. Let h be g(-4). Is -4 >= h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10561, 10560, 10559, 10558, 10557, 10556?\nAnswer: 10555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -2 + 118 + -122?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v = -2*r - 10 - 1, -4*r - 16 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/2*24\/(-9). Let h be (-2 - -2)\/(12\/m - 4). Let n be 0 + h + (9 + -3 - 4). Solve -2*b + n*i = 14 + 4, 20 = 4*i for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/24 of a decade?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0055764701 to four dps.\nAnswer: -0.0056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 220720 is divided by 68?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3586 - -3670. What is the highest common divisor of 980 and i?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -42126795, -42126793, -42126791, -42126789, -42126787, -42126785?\n\"Answer: 2*n - 42126797","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 193?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(-2\/27))\/k*k*k**(-10\/3))\/(k**(-18)*k*k**4*k) assuming k is positive.\nAnswer: k**(259\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 19 = 4*v, 3*v - s - 15 = -5*s. Let i be (0 - -3) + v + -1. Solve 4*n = -2*k - 22, i*n + 3*k = -11 - 10 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the third derivative of 0 + 28*d**2 + 0*d + 4\/21*d**3 - 1\/28*d**4 - 1\/210*d**5. Factor b(i).\nAnswer: -2*(i - 1)*(i + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 13*y**3 - 2*y**2 - y. Let c be a(-1). Let i(o) be the second derivative of -o**3\/6 + 17*o**2\/2 + 139*o. Is i(c) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45794092.\nAnswer: 2, 11448523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -63 not equal to -338?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.8 in 2\/9, -0.3, -4, -1\/2?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**4 + 1101*k**3 - 95880*k**2 - 954288*k.\nAnswer: -3*k*(k - 188)**2*(k + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**2 - 635*m - 6983. Let z be n(-11). Solve z = 43*o + 295 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 68085 and 361.8.\nAnswer: 24633153","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = -3*k - 3*g + 5*g, 0 = 5*k - 4*g - 56. Solve -k*a + 13 = 1 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -89*k**3 + 56*k**2 - 22 + 106*k**2 + 22 wrt k?\nAnswer: -534","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -75*x**3 - 74*x**2 + 74*x**2.\nAnswer: -75*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/29340 and 73\/9780.\nAnswer: 29340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 14\/6 - 1\/3. Suppose w*c = 2*o - 4, c + 3*o + 12 = 6*o. Solve -5*l + c*h = 25, -9 = -4*l - 4*h + 3 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -93*c + 568. Let j be u(6). Calculate the greatest common divisor of j and 250.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/((-7)\/(7\/(-3)))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 2*k = -6. Suppose -k*t + 11 - 2 = 0. Suppose 10 = -i - 5*o - 3, -5*o - 61 = -t*i. Solve 0 = r - 2*l + i, l + 3*l - 20 = r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1931 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, b: 4, i: 5}. What is prob of sequence ib?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-4)*1\/((-34)\/(-8))\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 635037.1357 rounded to the nearest one hundred?\nAnswer: 635000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1027)\/(-3) + (-36)\/(-54). Suppose 0 = -7*l - 84 + u. Let t = l - 33. What is the highest common divisor of t and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 34 and 272?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30\/(-77) + 6\/66*-2?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the second derivative of -11*z**6\/180 - z**3\/3 + 3*z**2\/2 - 20*z. Let c(k) be the second derivative of s(k). Let w(q) = -4*q**2. Calculate w(c(m)).\nAnswer: -1936*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 78534002?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -4*w + 26. Let l be f(6). Let z(m) = -m**3 + 2*m**2 - 2*m + 3. What is z(l)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkkkkk. Give prob of picking 4 k.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -6*a**3 - 1. What are the prime factors of z(-2)?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -2*l**2 - 8*l + 2. Let f be 5 + (1 - 4) + -10 + 2. Calculate w(f).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 7, -3, -6.\nAnswer: -6, -3, -1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -65, 50, 9, -4 in increasing order.\nAnswer: -65, -4, 2, 9, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 760396?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2319\/(-21) + 4 + (-6)\/(-14). Let n = a + 437\/4. Which is smaller: 2 or n?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5.14092 * -0.01\nAnswer: -0.0514092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**2 + s**2 - s**2 - 6*s - 2*s + 3. Let k be o(6). Let b be ((-6)\/k)\/(1\/6). Solve y + 4*h + 1 = -2, 2*y - b = -3*h for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**2 - 93*z + 1672. Determine t(33).\nAnswer: -308","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(16)\/sqrt(2)*6 + -3*(1 + sqrt(8)) - (sqrt(64)\/(2*sqrt(72)))**2).\nAnswer: -116\/9 + 24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 40409 at most 9132149\/226?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5\/8, -2\/101, 4\/9?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14659 + -12243. Solve -2407*c = -o*c - 63 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -33 - -61. Suppose 24*g = s*g - 420. What is the highest common divisor of g and 70?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a litre in millilitres?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13\/2030 + -62227\/48720. Calculate the common denominator of t and 95\/628.\nAnswer: 7536","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the first derivative of j**2\/2 + 6*j - 10. Give d(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 159*b - 28*b + 16*b - 6468. Which is smaller: b or -16?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 928, 3671, 8234, 14611, 22796, 32783?\n\"Answer: -u**3 + 916*u**2 + 2*u + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*b**5 - b**4 - 697*b**3 + 39902*b?\nAnswer: 40*b**3 - 12*b**2 - 4182*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4\/15 or -1\/28?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 74524?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-21)\/(-9) - 1)\/(44\/132). Solve 2*a + 6 - 10 = -2*b, 0 = g*b - 2*a + 4 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 623697?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -c**2 + 5*c**2 + 6*c**6 + 6*c**2 - c**6 wrt c.\nAnswer: 600*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 25 + -22. Which is the second smallest value? (a) 2\/11 (b) 2 (c) 27 (d) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*a + 4. List the prime factors of (-45)\/(a\/1) + 3.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44300 is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 3*r = -36, -3*r = -2*p - 2*r - 18. Let x be 221\/(-5) - (-2)\/10. Let v = p - x. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*n = 43*n + 136. Put 3, n, 1, 4 in decreasing order.\nAnswer: 4, 3, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -15*g + 13. Let a be p(1). What is the tens digit of a\/(-9) - 5236\/(-252)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the third derivative of -q**7\/5040 + 13*q**5\/60 + 17*q**2. Let i(h) be the third derivative of m(h). Let o(v) = 4*v**2. Determine o(i(r)).\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 20*b**2. Let g(v) = 15*v - 17*v + 2 - 2. Determine g(j(f)).\nAnswer: -40*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 28426, 28440, 28452, 28462, 28470?\nAnswer: 28476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 3 = -29. Let p = o - -9. Put -4, 5, p in descending order.\nAnswer: 5, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 29, -3, 0, -1, 24 in decreasing order.\nAnswer: 29, 24, 0, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13*m**2*p**2 + m**2*p - 247*m**2 + 19*p**2 wrt p.\nAnswer: -26*m**2 + 38","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/4 of a centimeter?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -12 - 12*q**3 + 195*q**3 - 5*q**2 - 180*q**3 in the form k*q**3 + r*q + c*q**2 + l and give l.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -32973\/16 - -2064. Find the common denominator of z and -25\/174.\nAnswer: 1392","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -6*n**2. Let y(v) = 408*v - 2. What is y(t(j))?\nAnswer: -2448*j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -4*t + 3, 0 = 3*v + 3*t for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*w**3 + 3*w**4 + 4*w**3 + 2*w**2 + 4*w in the form g*w**4 + y + d*w**2 + t*w**3 + m*w and give m.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 38*2\/(-6)*(34848\/(-192))\/(-121)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2, -13, -32, -59?\n\"Answer: -4*f**2 + f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 274502 (base 9) to base 12\nAnswer: 80a18","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Factor 5\/3*j**3 - 50\/3*j - 40\/3 - 5\/3*j**2.\nAnswer: 5*(j - 4)*(j + 1)*(j + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13089 + 13089. Let t(b) be the third derivative of 0 + 3*b**2 + 0*b + 2\/15*b**5 + 2*b**3 + n*b**4. What is the first derivative of t(p) wrt p?\nAnswer: 16*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iiri when four letters picked without replacement from {i: 11, r: 3}?\nAnswer: 45\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*i**5 + 3*i**5 - 14*i**5 + (2*i - 1 + 1)*(3*i**2 + 6 - 6)*(i**2 + 0 + 0) + (2*i**3 + 3*i - 3*i)*(2*i**2 + 0 + 0).\nAnswer: -3*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-297)\/(-935) - 2\/17. Is 0 <= w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11025267, -11025264, -11025261, -11025258, -11025255?\nAnswer: -11025252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**3 - 3*n**2 - 2*n - 2. Let u(r) = -2*r**3 - 5*r**2 - 3*r - 3. Let j(l) = -7*g(l) + 4*u(l). What is the units digit of j(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 53\/3 - 283\/6. Find the common denominator of -121\/10 and f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -966 divided by -5.\nAnswer: 966\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**2 - 6*k. Let d be i(6). Let a = 0 - d. Suppose -2*c - 5*s + s + 30 = a, c - 10 = 3*s. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 15, k: 3}. Give prob of picking 2 k.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 9 = 4*i. Let r = 4 + i. Suppose -2*v + 4*x + 22 = 0, 2*v + 2 = -r*x - 2*x. Which is smaller: v or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(1*2*36\/(-48))\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and 0.9252156?\nAnswer: -4.626078","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -k. Suppose 4769936 = -3*c - 2*y - 1830054, k = c + 4*y + 2199980. Round c to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 226070?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.04 - -0.0412. Round y to 3 dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(104)*-2)\/(2*(sqrt(8) - sqrt(200))) + 5.\nAnswer: sqrt(13)\/4 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -28*m + 9*m + m + 9*m. Let a(u) = 3*u**2 - 3*u**2 + 4*u**2 - 6*u**2. Calculate t(a(x)).\nAnswer: 18*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10? (a) -5\/3 (b) 1\/2 (c) -2 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -91 - -160. Let l = c + -69.0125. Let a = l + 0.05. What is a rounded to 3 dps?\nAnswer: 0.038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 193*h + 185*h - 377*h - 737.\nAnswer: h - 737","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (6*(sqrt(108) + 1*sqrt(108) + 4 + sqrt(108) + 1))**2 + 2.\nAnswer: 6480*sqrt(3) + 35893","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**2 - q + 3. Let c(l) = l**2 - 4*l + 2. Let o be c(4). Let z be (-8)\/12*o*-3. Suppose -z*p = 75 - 55. Give y(p).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 228 + 56.7?\nAnswer: 284.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the second derivative of 0 + 47*a + 0*a**2 + 0*a**3 + 8\/21*a**7 + 7\/6*a**4 + 0*a**6 + 0*a**5. What is the third derivative of n(x) wrt x?\nAnswer: 960*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 153291 is divided by 143.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12 + 45. Suppose -u = 3*z - 0. What is the third smallest value in z, -0.2, -0.4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11464 (base 7) to base 13.\nAnswer: -1489","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21478744?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -0.06, 1, 4 in decreasing order.\nAnswer: 4, 1, -0.06, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 2)*(-4 + 3 - 2)*(5 - 5 - 5*a**4).\nAnswer: -15*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:54 PM and 11:39 PM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6\/7*s**2 + 0 + 0*s - 2\/7*s**3.\nAnswer: -2*s**2*(s + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -137 = 10*j + 3*w, 31 - 26 = 77*w - 81*w - 101 - 50 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9246)\/268*(-1)\/6 + -5?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:30 AM and 6:55 PM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 - 261?\nAnswer: -25d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*w = -91*w + 99*w - 1751332. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 15625?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqoo when four letters picked without replacement from {o: 5, q: 8, u: 4}?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 times -5?\nAnswer: -2120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 - (-11 - -5 - 20). Let t(q) be the first derivative of 0*q**3 + 0*q**2 + 1\/5*q**5 + 39 - v*q + 0*q**4. Find the first derivative of t(p) wrt p.\nAnswer: 4*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4108 greater than -4107?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 0)*((0*u**2 + 0*u**2 + 2*u**2)*(2*u**2 - u**2 - 3*u**2) - 4*u + 4*u + u**4).\nAnswer: -3*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-32*k + 32*k + 22*k**3)*(40*k - 27*k + 53*k) to the form m*k**2 + p*k + v + i*k**4 + u*k**3 and give i.\nAnswer: 1452","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n**4\/7 + 436*n**3\/7 - 13374*n**2\/7 - 9220*n\/7 + 144800 = 0. Calculate n.\nAnswer: -8, 10, 35, 181","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-1 - ((-280)\/400 - 2\/(-10))).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2041486367?\nAnswer: 14621, 139627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -340863 (base 9) to base 4.\nAnswer: -301311000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(76) - (sqrt(76) + -1)) + sqrt(76) + (0 + sqrt(76))*-1 + 3)**2.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -783928644437 minus -3?\nAnswer: -783928644434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sum 3742896679 and 36169.\nAnswer: 3742932848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 + 221321011?\nAnswer: 221321002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(2\/9)*j*j**(-3\/5)*j**5*j**(-6)\/j)**(-7\/6) assuming j is positive.\nAnswer: j**(217\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 14) to base 3\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5693435 to the nearest integer?\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**2\/4 + 2646*i - 788365.\nAnswer: (i - 290)*(i + 10874)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 57096 + 75?\nAnswer: 5713b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*h - 40*h - 14*h.\nAnswer: -35*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-1)\/s)**(2\/35))**(-49)\/(s**(2\/25)*s*s**2\/s*(s**2\/s)**(-3\/7)) assuming s is positive.\nAnswer: s**(691\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.1 + -0.6. Let f = x + 0.5. Let v be ((-24)\/90)\/((-2)\/3). Which is the third smallest value? (a) f (b) -4\/7 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 plus 2587?\nAnswer: 2587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 94 a factor of 168?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1118 and 74719853.\nAnswer: 559","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*o - 48*o**3 - 39*o**3 + 69*o**3)*(5 - 5 - o**2 + (4 + 2*o - 4)*(-7 + 7 - 5*o)).\nAnswer: 198*o**5 - 44*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.3 times -0.0178?\nAnswer: -0.04094","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -2*(1822\/(-4) - 0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q - 180 = 319*k - 314*k, q - 32 + 86 = -7*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.3 + -1. Let i = -0.041 + 1.041. Which is the second biggest value? (a) i (b) w (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l + 3. Let u be g(-3). Suppose -u - 2 = 4*a. Let k be a + -1 - (-4)\/2. Let s(c) = -8*c**3. Give s(k).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1068, -6799, -21832, -50817, -98404, -169243, -267984, -399277?\n\"Answer: -775*f**3 - f**2 - 303*f + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Solve w - 17*w = 73 + 23 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 4*f + f - 34 = 0, z = f - 10. Let x = z - -26. Solve t + 3*d = x, -5*t + 0*d + 5 = -2*d for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -43*d + 25. Let v be ((-24)\/36 + (-2)\/(-3))\/(-1). Calculate the remainder when 83 is divided by u(v).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 262*d**2 + 215*d**5 + 2*d**4 - 262*d**2 + 5*d + 1 - 2*d**4 wrt d?\nAnswer: 4300*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6091 + -6095. Which is the nearest to v? (a) -3 (b) 4\/5 (c) -1 (d) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than -38\/145299?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 565 = -0*w - 3*w + 2*a, 5*w - 3*a = -943. Let d be 5*(-8)\/(-12)*-39. Let b = d - w. Is b a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -18*m**2 + 33*m**2 - 3 + 5 - 13*m**2 - 4*m. Suppose -5*r + i + 7 = 0, -3*r - 4*i + 12 = -2*i. What is a(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -128*t + 9143 - 10167 for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 4 + 12 = 3*i, -5*i = 3*g - 16. Solve -f + 0 + g = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19569.\nAnswer: 3, 11, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7682 - 7449. Calculate the lowest common multiple of 11 and l.\nAnswer: 2563","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**15*x**12\/x)**(-17) assuming x is positive.\nAnswer: x**(-442)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d = 4*z - 19, 45852*z = 45856*z - 2*d - 14 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27645560.\nAnswer: 2, 5, 43, 16073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18881, -37729, -56575, -75419, -94261, -113101, -131939?\nAnswer: -150775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000764491 to seven decimal places.\nAnswer: 0.0000076","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - -15 - (23 + -23 - (-11 - 0))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 27742352245 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 30992895 to the power of 1\/3, to the nearest integer?\nAnswer: 314","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -33.87 - 733.63. Let b = -1097 - g. Round b to the nearest ten.\nAnswer: -330","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9084436?\nAnswer: 2, 257, 8837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (26\/533 + (-1190)\/(-820))\/(30\/16). Let f(a) = -2*a - 7. Let k be f(-6). Put p, k, 2\/5, 0.2 in descending order.\nAnswer: k, p, 2\/5, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -100100 + -200020?\nAnswer: -1000120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -3*y - 4. Let b(c) be the third derivative of 0*c + 1\/24*c**4 + 0 + 5*c**2 + 1\/3*c**3. Let h(j) = -5*b(j) - 2*f(j). Differentiate h(r) wrt r.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9019 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*w = 8427690 + 24540310. What is w rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - ((3 - -2) + 2 + -5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes after 7:19 AM?\nAnswer: 6:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.182858539 + 1?\nAnswer: -10.182858539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t + 1. Let u(b) = -3*b + 6. Let i(h) = 4*o(h) - u(h). Let f(n) = -1. Let g(p) = -p**3 + 3*p**2 + 2*p + 3. Let q be g(0). Determine q*i(v) - 5*f(v).\nAnswer: -3*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5161 take away -331?\nAnswer: 5492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**2 - o + 1. Let k(b) = b**3 + b**2 - 7*b + 4. Let g(t) = k(t) - 6*x(t). Suppose 16 = -4*j - 4*p, 44 = -5*j + 3*p - 0*p. What is g(j)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is b7 - -492?\nAnswer: 589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 368 to the power of 1\/2, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + z = -120. Let x = 63 + z. Which is the third biggest value? (a) -5 (b) x (c) -13\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes before 6:01 PM?\nAnswer: 2:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2758 + -2763. Let f = 3.3 - 3. Let r = -0.2 - f. Which is the closest to 1? (a) 2\/3 (b) r (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-4 + 1*((sqrt(475) - (sqrt(475) + (sqrt(475)*-2 + sqrt(475))*-6)) + -5*1*sqrt(475) + -3))**2.\nAnswer: 770*sqrt(19) + 57524","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 + 4*u**2 + 1 + u**3 - 3*u**3 - 3*u**2 to g*u**2 + s*u + m*u**3 + z and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-11973)\/1228)\/(3\/12).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**2 - 2*b - 8. Let m be c(4). What is the closest to m in 4, 3, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, v: 2}. Give prob of sequence vvr.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(7) + (0 + sqrt(7))*-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the third derivative of p**5\/15 + p**4\/12 + p**3\/6 + 3*p**2. Let n be k(2). Let c = 4 + n. Solve -3*i + c = 2*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -4*v + 12. Let a be -3 + -4 + v + 10. Suppose 5*g + 4 = a*g. Put -4, g, 7 in descending order.\nAnswer: 7, g, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**1*q\/(q\/(q**(-2\/5)*q))*(q**4)**(-34) assuming q is positive.\nAnswer: q**(-672\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -3 - (5 + -3 + -4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 8) to base 9.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**2. Let h(l) = -2*l**2 + 2*l - 505. Give h(b(c)).\nAnswer: -2*c**4 + 2*c**2 - 505","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10695033 and 7785.\nAnswer: 1557","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + -0.198975917.\nAnswer: 6.801024083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -787*f - 6560*f + 21 - 21 to the form k + p*f and give p.\nAnswer: -7347","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**3 + 42*i**2 - 117*i + 1495. Give d(40).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 1 k when three letters picked without replacement from {r: 7, a: 8, k: 3}.\nAnswer: 21\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -65 and 2.\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -3*i**2 - 21. Let o(v) be the first derivative of v**3\/3 + 5*v + 1520. Calculate -21*o(f) - 5*p(f).\nAnswer: -6*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes after 12:57 PM?\nAnswer: 1:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -973, -969, -963, -955?\n\"Answer: j**2 + j - 975","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 2*f - f, 5*f = -3*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 26313037 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -4*m + 4. Let f(u) be the second derivative of 0 + 3\/2*u**2 - 1\/2*u**3 + 20*u. Determine -5*a(p) + 6*f(p).\nAnswer: 2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**2 - 15*p - 12. Let y be d(16). Sort 3, 5, 2, y in ascending order.\nAnswer: 2, 3, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 95004554 to the nearest integer?\nAnswer: 456","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is next in -216098, -216047, -215996, -215945, -215894?\nAnswer: -215843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 3 (b) -3\/4 (c) -16 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -29*f + 115. Let a be o(4). Let h(r) = 6*r**2 + 5*r + 4. Let q be h(a). Solve -2*y - 5 = -q for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -3*s + 16, 3*f - 4*s + 23 = -0*f. Let g be (1 - f) + (-4)\/8. Let t = 0.1 + 0.2. Which is the second biggest value? (a) t (b) g (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 2886601*p**2 + 611640*p + 32400 = 0.\nAnswer: -180\/1699","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.09 times -39097\nAnswer: 3518.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s = -3*q - 27, -4*s - 36 + 54 = 5*q for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssybbbysdsa. What is prob of picking 1 a and 2 b?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 702*q - 706*q - 16 = -s, 9 = q + 3*s for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/6? (a) 0.033 (b) -2\/7 (c) 3\/14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -5*s, 0 = -5*n - 3*s - 2*s + 8685. Suppose -13*g + n = -7*g. List the prime factors of g.\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10d (base 14) in base 3?\nAnswer: 21202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7947412 millimeters in micrometers?\nAnswer: 794.7412","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3928, 7881, 11858, 15865, 19908, 23993, 28126?\nAnswer: 32313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 365 - 365.31. Let c = -1.69 + t. What is the third smallest value in 5, -4, c, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes before 6:38 AM?\nAnswer: 11:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*k + 4*k + 0*k + (3*k - k - k)*(-2 - 5 + 0))*(314 - 242 - 198).\nAnswer: 1260*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, u: 2, x: 2, q: 2}. What is prob of picking 1 u, 2 q, and 1 p?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 2*u - 3*u + z, 3*u + 5*z = 61. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 20*i**2. Is d(1) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 122598 is divided by 681?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 381 - 38748212318?\nAnswer: -38748211937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -127\/31080 and -11\/174.\nAnswer: 901320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9 + 59. What is the remainder when q is divided by 25?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1748391 is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -17, 2, 30, -155 in descending order.\nAnswer: 30, 2, -4, -17, -155","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gigpxhi. What is prob of sequence hphx?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -170332*t**4 - t**3 - 81196*t**2 + 4*t.\nAnswer: -4087968*t - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 77553 (b) 0 (c) -0.4 (d) 551\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -7, -2, 421, 5 in increasing order.\nAnswer: -7, -3, -2, 5, 421","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l - 2*l + 5*l)*(615 - 11*l**2 - 615).\nAnswer: -55*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 124960012 a multiple of 103?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -14 (b) -10 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 107213 and 30769.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2625588 greater than or equal to 2625587?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -610 (b) 1.8 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3600)\/96 + 14 - -13.\nAnswer: -21\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the first derivative of -n**4\/4 - 2*n**3\/3 - n**2 - n - 2. Let y be i(-1). Let u(f) = f + 8. What is the units digit of u(y)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggml. What is prob of picking 2 g and 1 m?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t**2 + 617*t - 617*t - 112)*(t**3 + 7*t**3 + 2*t**3).\nAnswer: 20*t**5 - 1120*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange q**4 + 1 + 1246976*q + 3*q**2 + 17 - 1246974*q to the form z + d*q + i*q**3 + o*q**2 + m*q**4 and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 12 = 0, 0 = q + 3*q - 3*i - 24. Is q - (-3 + (-627 - 3) + 3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**3 - t**2 + 24. Let d be 3*-38*(-1)\/(-3). Let b be d\/(-19) + (-3 - -1). Let i be f(b). Solve 4*p = 4*j + i, -4*j = -p - 2*p + 22 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1 = -1\/255?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -4*151\nAnswer: -604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/182 + (-80)\/(-520)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -179602708 to the nearest ten thousand.\nAnswer: -179600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**3 - w**2 + w - 4. Let t = -15 - 37. Let p = t + 52. Give i(p).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000026998969 rounded to seven dps?\nAnswer: -0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Are -525 and -524 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1467958 and 1121885.\nAnswer: 3803","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 155867 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -561, -576, -605, -654, -729?\n\"Answer: -t**3 - t**2 - 5*t - 554","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -2 + 1 + -2 + sqrt(153) + -4 + 3 + 2 + -5)**2.\nAnswer: -30*sqrt(17) + 178","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 30, -4, 2.\nAnswer: -4, 2, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 1394?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -213310011321 (base 4) in base 15?\nAnswer: -db2690","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:03 PM and 7:25 PM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -0.3, -0.4, -218832, -4 in ascending order.\nAnswer: -218832, -4, -0.4, -0.3, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -4 + (-4)\/(8\/(-6)). Let a(b) = -2*b + 1. Let h be a(l). Solve 3 = -5*u + h*s + 15, -5*s - 20 = 3*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:53 AM and 2:47 PM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*m + 2 - 17*m - 8*m**3 to the form n*m**3 + w + b*m + i*m**2 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100*l**3 - 2200*l**2 + 2076*l + 504 = 0. Calculate l.\nAnswer: -1\/5, 6\/5, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 3*u. Let k(b) be the second derivative of -11\/6*b**3 + 0*b**2 + 27*b + 0. What is k(r(w))?\nAnswer: -33*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.4, 1\/4, -1743, 8?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3014\/13 + -232. Let w = -627 + 431. Let i be 84\/w + 10\/56. Put c, -2\/9, i in decreasing order.\nAnswer: c, -2\/9, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 423986632202 + 3*g**3 - 423986632202.\nAnswer: 3*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -2\/3, 5, 0.5, 34?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -421591759 divided by 3\nAnswer: -421591759\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1\/(-2))\/(-10 + (-998)\/(-100)). Suppose 35 = 30*t - g. Let b(h) = h**3 + 6*h**2 + 5*h - 3. Let w be b(-5). Sort t, w, 4, 5 in descending order.\nAnswer: 5, 4, t, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 610, 926, 1254, 1600, 1970, 2370?\n\"Answer: l**3 + 309*l + 300","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32253 is divided by 216.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*q + 2*l = 38*q + 38, 2*q - 38 = -2*l. Let b be 2\/5 - (-4)\/(-10). Solve b*f + 6*f - 30 = q for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -812, -1612, -2400, -3170, -3916, -4632, -5312?\n\"Answer: j**3 - 807*j - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14*(-14)\/3136)\/(((-221)\/(-102))\/((-4)\/(-3)))?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9039037613 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 4*j + 43, -z - 3*j = -5*j - 15. Let t = z + -9. Suppose 5*w - 16 - 27 = t*l, -3*l - 6 = 0. List the prime factors of w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -107 + 111. Suppose -l*v - v = -2145. What are the prime factors of v?\nAnswer: 3, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let c = -73803 + 73803.5. Let v = -0.3 - -0.4. What is the closest to -7 in -0.1, v, c?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 20*l + 195 - 2495. Let q be (-270)\/69 - 10\/l. Put q, -1, -2, -3 in decreasing order.\nAnswer: -1, -2, -3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3822067 to the power of 1\/2, to the nearest integer?\nAnswer: 1955","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*k - 10*k + 2 - 17*k + 2.\nAnswer: -5*k + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12021002001020 (base 3) to base 13.\nAnswer: 76bb28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6646, 13492, 20338, 27184?\nAnswer: 34030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -r + 2*f, 4 = -4*r + f - 17. Is 15 a factor of 2*(195\/(-2))\/r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t + 3*t = -5*z - 120, t - 48 = -5*z. Let q = 12 + 16. Calculate the greatest common divisor of q and t.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**2 + w + 16. Let r be s(0). Let n(z) = -z**2 - 2*z + 2. Let g be n(0). Calculate the greatest common factor of r and g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101111001001000001 (base 2) to base 3.\nAnswer: 100210212110","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + 33 = 2*l + 67, 197 = -66*s + 4*l - 311 for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -131*w**4 + 4*w**3 + 4*w**2 + 88*w - 8. Let r(k) = k**4 - k**3 - k**2 - 2*k + 2. Let c(b) = m(b) + 4*r(b). Find the second derivative of c(y) wrt y.\nAnswer: -1524*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 25246 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.15 - 12.15. Let a = l - -11.99884. What is a rounded to four decimal places?\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*(a\/a**(2\/27))\/a)\/a**13)**13\/((a**(-8)*((a\/a**(-4\/5))\/a)\/a)\/(a**(-3\/8)\/(a\/(a**1*a)*a*a))) assuming a is positive.\nAnswer: a**(-162149\/1080)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -4*r + 5*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 184 and 53751.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 245 and 52805.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -209*u**2 - 16718*u + 165. Determine i(-80).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -46? (a) -648 (b) 57 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2315 divided by -23?\nAnswer: -2315\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 j when four letters picked without replacement from {j: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 47 in -437, -5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**2 - 7*m + 2. Let i be c(-8). Let q be 1*(-46)\/i*-9*-5. Suppose -6*p + q = -3*p. What is the remainder when p is divided by 30?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 129*x - 118*x - 54659 = 0. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (6\/5)\/((-4)\/(-50)). What is the greatest common divisor of 10 and l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/(198\/12)*21*(-20)\/(-280)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 22 + -22. Suppose c*d - d - 4 = 0. Let f(u) = -u - 7. Determine f(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**3 - 6*f**2 - 4*f + 1. Let z be r(-5). Let t = -5 - z. Let x = 36 - t. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11\/22)\/(3\/6) + 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3040 and 4132640.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 6, m: 1, t: 2, a: 4, g: 3}. Give prob of picking 3 a.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 2*b. Let k(g) = -2. Let j(d) = 3. Let n(i) = -3*j(i) - 5*k(i). Suppose -h = 4*y + 29, 2*h + 24 + 16 = -2*y. Let a = h + 15. Give a*n(r) - q(r).\nAnswer: -2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -4*i - 0*i + 18, -r - 2 = 0. Suppose 12 = -i*k, 4*c + 2*k - 108 = 4*k. What is the least common multiple of 9 and c?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 29 times 4.06\nAnswer: 117.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*y - 148 = -168. Let x be (1116\/(-42) - 6) + (-6)\/y. Are -30 and x equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15303338.\nAnswer: 2, 2207, 3467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 9\/6 - (-52)\/8. Suppose 0 = 5*a + 2*x - k, 3*a - 4*x = x - 20. Solve 0 = -3*z + 2*f - 2, 4*z + 2*f + 3*f - 28 = a for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-3\/4)\/g*g**(-10))**(-36) assuming g is positive.\nAnswer: g**423","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64 - 19 = 9*p. Suppose -p*n + 20 = 5*d, -5*d + 5*n - 20 = -0. Suppose -2*b + 188 = -4*j - d*j, -b + 94 = -4*j. What are the prime factors of b?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-54)\/81)\/((-4)\/(-18))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l*l**18*l*l))\/(l*l\/l**(1\/8)))\/((l**(-2\/7)\/l)\/(((l*l**(-2))\/l*l)\/l*l)) assuming l is positive.\nAnswer: l**(-1209\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -40 + 43. Sort v, 2\/9, -2, -3 in ascending order.\nAnswer: -3, -2, 2\/9, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1112556 and 2484?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13515652.\nAnswer: 2, 3378913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2751, 6069, 9833, 14043, 18699?\nAnswer: 23801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 275718 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5.2, -0.3, -0.2.\nAnswer: -5.2, -0.3, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 - 422303?\nAnswer: -422313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 2 k when three letters picked without replacement from ksssk.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2502545 (base 8) to base 2.\nAnswer: -10101000010101100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.08804534 to 3 dps.\nAnswer: 0.088","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 24, 32, 50, 84, 140?\n\"Answer: q**3 - q**2 + 4*q + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j - 1. Suppose -3*y + 9 = -6*y. Let x be d(y). What is the closest to -2 in x, -4\/7, -1\/4?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 37441407 and 306792.\nAnswer: 12783","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 360 and 396?\nAnswer: 3960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 3*x - 30. Let l = 0.1 + 0.1. Let t = -0.3 + l. What is the third smallest value in t, -3, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 9 - 35\/21*3 - (-4)\/(-1). Which is bigger: 2\/7079 or y?\nAnswer: 2\/7079","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 90313.\nAnswer: 90313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b - 48*d + 60 = -44*d + 115, -5*d - 53 = -4*b for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*r + 293 + 400 + 819 = 0. What is the greatest common factor of r and 721?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 30fe8a7 + 7?\nAnswer: 30fe8ae","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 581404001 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -112 = 2*g + 104. Let o = g - -968\/9. Let i = 0.049 + -1.049. Which is the closest to 0? (a) o (b) i (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from knkkjkkhvkvnykj. Give prob of picking 1 y, 1 n, 1 h, and 1 k.\nAnswer: 2\/195","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**3 + 10732*c**2 + 10731*c.\nAnswer: c*(c + 1)*(c + 10731)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.328165 less than 4128355?\nAnswer: 4128354.671835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 774 is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 2*q**2 - 2. Let p be z(-2). Suppose 0 = 4*k - p*k. Suppose 3*a + a - 1484 = k. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -12*p + 38. Let u be z(-16). Suppose -2*r + 72 = 2*j, -3*j = -5*r + 2*j + u. Let x = r - 41. Which is the closest to x? (a) -0.07 (b) 1 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.4174763 to two dps.\nAnswer: -8.42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 224356 and 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 - -7 - (-15 + -4 - (-29 - -22))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 634*i**4 - 316*i**4 - 317*i**4 - 28 + 3*i**2 + i in the form q + u*i**4 + g*i + a*i**3 + s*i**2 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 2 v when three letters picked without replacement from edvveevee.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -40*r + 518. Calculate w(37).\nAnswer: -962","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4927 + 106 = 7*p. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 302300 to the nearest one hundred thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in d**3 - 25*d**2 - 20*d**2 + 45*d**2.\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 15\/9*6\/5 - -12. Suppose 4 = 2*u + r, i - u = 1410. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5755 and 115773335.\nAnswer: 115773335","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -26*f**3 + f. Let w be a(-1). Suppose 4 = 27*s - w*s. Let d(n) = 2*n - 1. Determine d(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 131.34 + -123.3408. Let z = -132 + 140. Let s = z - b. What is s rounded to 4 decimal places?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 86 and 57276.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -130.1 - -130. Which is the closest to -0.1? (a) -0.3 (b) 0.02 (c) z (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(4\/5)*y)**(-48) assuming y is positive.\nAnswer: y**(-432\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 200651.\nAnswer: 11, 17, 29, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 33\/5 of a microgram?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes after 3:43 PM?\nAnswer: 2:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(((-20)\/(-68))\/(528\/2244))?\nAnswer: -16\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6079*c*r*s - c*r + 548*c - r wrt s?\nAnswer: -6079*c*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1178634?\nAnswer: 2, 3, 196439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add together -37409.4315 and -822709.\nAnswer: -860118.4315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:25 PM and 8:37 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*w - 69*w - 77*w - 22*w**3 + w**4 + w**4 + 221*w + 48*w**2 - 64 = 0 for w.\nAnswer: -1, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**2 - 2*g - 1765. Let a be l(-41). Let m(v) = 3*v**3 + 5*v**2 - 5*v - 15. Let n(b) = -b**3 - 2*b**2 + 2*b + 7. What is a*m(i) - 5*n(i)?\nAnswer: -i**3 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from {b: 4, e: 3, k: 10, y: 2}.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z + 2*q + 2, q - 14 = z + 3*q. Is (-6)\/z*(-26)\/(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -2*h + 5. Suppose 15 = -h*b + 6*b. Let m be 39\/b - (-3)\/(-1). Which is smaller: 1\/6 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11112 divided by -2778.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1759 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 22349593309 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-2*sqrt(13) + -4).\nAnswer: -4*sqrt(13) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-30)\/(-75))\/(1 - (-18)\/(-20)). Solve 4*k + 4 = q*v, 0 = -k - 0*v - 3*v + 19 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 3*t**3 + 23*t**2 - 4*t + 597. Give l(-10).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11.5 - -11. Let w = -6.7 - -6. Let k = w + 0.3. Sort q, 0, k in decreasing order.\nAnswer: 0, k, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mwyzzziwz. What is prob of picking 1 y, 1 m, and 1 z?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 37 and 1961.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13 - 5. Suppose -4 = p*i - 4*i. What is the units digit of 15 + i\/(-1 + 0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9034658560 rounded to the nearest one million?\nAnswer: -9035000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 take away -139241?\nAnswer: 139244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 91\/9 - -7207\/18. Let d = 373 - w. What is the common denominator of 91\/6 and d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.8 - -13.8. Let f = -18 + v. Let m = 15\/2 - 169\/22. Which is the closest to -2\/3? (a) m (b) f (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 - -4. Suppose -s*b + 6 = b. Let t = 11 - b. What are the prime factors of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8853120820 to the power of 1\/2, to the nearest integer?\nAnswer: 94091","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/792 and 113\/792.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 19519 + -19522. Sort 3, -4, 879, 0, s in increasing order.\nAnswer: -4, s, 0, 3, 879","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/3423 and 31\/70.\nAnswer: 34230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 307*t**4 - t**3 + 8*t + 2*t**3 - 308*t**4 - 106*t**2 + 106*t**2 + 20 to a*t**3 + j*t**2 + b*t + i*t**4 + y and give y.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 126 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 - 2.4. Let t be 1\/(3\/(-6))*-2*60\/40. Which is the fourth smallest value? (a) t (b) 12 (c) -3\/8 (d) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 99945 by 73.\nAnswer: 99945\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 103 * 0.7\nAnswer: 72.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*v**5 - 399*v**3 - 1310*v**2.\nAnswer: -120*v**2 - 2394","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8285 and 115?\nAnswer: 190555","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -21.5405 or 0.624?\nAnswer: 0.624","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y - y + 15 = 0, -95 = -v + 2*y. Suppose -b + v = 4*u, 0*b + 26 = u + 4*b. What is the greatest common factor of 55 and u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 4*z + 7 = 0. Let n be z\/14*(1 - 3). Solve -9 = -2*p + n for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is e75b8 + 3?\nAnswer: e75bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 732252114 divided by -2?\nAnswer: -366126057","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 - -108. Let r = q - 5. Let p = 142 + r. Is 19 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2451005368 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.003691647476 to seven dps.\nAnswer: 0.0036916","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (2747 - -786) + 2\/4*14?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 - -5. Let n = -34 - -29.4. Let q = n - x. Which is the second biggest value? (a) -5\/2 (b) q (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 4*x**2 + 28*x - 10. Let f be o(-12). Calculate the highest common divisor of 5 and f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4217 (base 8) to base 3.\nAnswer: -10000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1404 is divided by 101.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (15 - (-11 - -7)) - (0 - 4)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 + 3*z)*(-2 - 5 + 0*z + 2*z).\nAnswer: 6*z**2 - 21*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10844 to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 2*l + j + 19 = 0, -5*j - 30 = 2*l. Let w be 2\/(-5) + (-47)\/l. Let i = -37401 + 37404. Solve 3*v = w + i for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 28\/101?\nAnswer: 28\/101","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 202875 is divided by 301?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**2 - 151*h + 5675. Let c be j(81). What is p in -2\/5*p**c - 2\/5*p**3 + 0 + 0*p + 4\/5*p**4 + 0*p**2 = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1313582, 2627164, 3940736, 5254298, 6567850, 7881392, 9194924?\n\"Answer: -5*f**2 + 1313597*f - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 24*g + 0 + 2 - 1. Let d = 520 - 446. Calculate the remainder when d is divided by c(1).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -4*l - 2*u + 4904, 4*l = 5*u + 4936. Is l a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the second derivative of -p**5\/60 - p**4\/24 - p**3\/6 + 8*p. Let h(t) be the second derivative of j(t). Let r = 6 - 12. What is h(r)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*c - 6 = -44*c. Solve 3 = -k + 3*q, -c*q + 12 = -k - 3*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -2.17, -2, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*r - 4*r - 2*r)*(20*r**3 - 10*r**3 + 19*r**3).\nAnswer: -29*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xpxx when four letters picked without replacement from {p: 3, x: 16, b: 1}?\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 365, 412, 469, 536, 613, 700?\nAnswer: 797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -426*d + 425*d + 1. Are -1\/127 and d equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**3 - 31*l**2 + 2. Give w(31).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -22*((-2)\/7)\/(12\/21). Solve b - 4*r + 19 = 0, 3*b + 6*r - h = r for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1416 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/2952 and -32\/99?\nAnswer: 32472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-100)\/135)\/(-2)*-62922. Let y = -46139893\/1980 - i. Let s = y + -3\/44. Which is the closest to 0? (a) s (b) -3 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 5*d + 7 = 0, 0*r + 10 = 3*r + 4*d. Solve 0 = 3*z - 4*w - 29, -4*z - 10*w = -8*w - r for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82 = 4*f - 106, -5*c + 2*f + 7443 = 0. Calculate the least common multiple of 10 and c.\nAnswer: 14910","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 4386*n**2 + 170*n + 345. Is 161 a factor of h(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5839 + -5836. Suppose -4*q + 30 = q. Let d be q + -1 + (-3 - -2). Put z, -5, d in decreasing order.\nAnswer: d, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the third derivative of 0*m + 5\/6*m**3 + m**2 + 0*m**5 + 0*m**4 + 1\/12*m**6 + 0. What is the first derivative of s(h) wrt h?\nAnswer: 30*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**3\/13 + 12*v**2\/13 + 6*v\/13 - 20\/13.\nAnswer: 2*(v - 1)*(v + 2)*(v + 5)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 e when two letters picked without replacement from eiaeiieiaie?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -333*k = -569*k + 9204. Calculate the remainder when (-45)\/2*20\/(-6) is divided by k.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*u - 5*a - 408 = a - 7*a, 3*a + 17 = -u for u.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 506?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*v + 36 = 3*v - 3. Let y(t) be the second derivative of 1\/3*t**v + 21\/2*t**2 - 23*t + 0. What is the derivative of y(i) wrt i?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 199375?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4249969 and -0.5?\nAnswer: -2124984.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 9 + 8 - 6\/(-2). Suppose y + i = 2*y. What is the remainder when y is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*h - 9*h = 54. Let y = h + 2. Calculate the greatest common factor of y and 203.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -21*l**2 + 7*l**2 - 2 + 12*l**2 - 8*l + (8*l + 11*l + 17*l)*(2*l + 2*l - 2*l).\nAnswer: 70*l**2 - 8*l - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -f**3 + 0*f**2 + 0*f**3 - 8*f**2 + 33*f**2.\nAnswer: -f**3 + 25*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gxeex. Give prob of sequence eg.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -13 and -98816?\nAnswer: 1284608","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 497 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -19 - -18. Is 3\/50 greater than or equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9571106 is divided by 732.\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.2 greater than -115384?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -327*d**5 - 98*d**5 - 169*d**5 + (-1 - 2*d**2 + 1)*(-2*d**2 + d**3 + 2*d**2) - 2*d**5 + 5*d**4 - 5*d**4 - 2*d**5 - d**5 + d**5.\nAnswer: -600*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -216 - -223. Suppose -10*p - l*p = -16*p. Solve p = 2*o + 4*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**3 - 7*p**2 + 6*p + 7. What is the tens digit of t(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2964830 to the nearest integer?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37339 is divided by 6221.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-6)\/(-5))\/((-4)\/(-10)). Suppose 5*l - 21 = -4*f, 0*l - s*f + 2 = l. Suppose -2*c = -c - l. Solve c*y = -11 - 14 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -4 - (42\/105)\/(2\/(-20)). Let n be (2\/(-2 - g))\/(30\/(-36)). What is m in n + 46\/5*m + 16*m**2 - 32\/5*m**3 = 0?\nAnswer: -1\/4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4.22 - 4.12. Which is the smallest value? (a) s (b) 2\/13 (c) -1 (d) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19422 divided by 35?\nAnswer: 19422\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -1\/9 (b) 11 (c) 1036 (d) 0.2 (e) 62\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2926?\nAnswer: 2, 7, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -3279 + 1636 + 14*z**2 + 1630 in the form u*z**2 + q*z + h and give u.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -2\/15, -2, -4, 0.4 in increasing order.\nAnswer: -4, -2, -2\/15, 0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -787*x. Let b(v) = -921*v**2 + 3700*v**2 - 922*v**2 - 929*v**2 - 929*v**2. Determine l(b(r)).\nAnswer: 787*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/4, 0.2, -4, 0.\nAnswer: -4, -3\/4, 0, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 756, 1511, 2266, 3021, 3776?\nAnswer: 4531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10440725*w**2 + 10440725*w**2 + 1630*w**3.\nAnswer: 1630*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 396022 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5112?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 931770?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 151 in -1\/2, -3, 5, 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the first derivative of -7\/2*l**2 - 20 - 4*l - 2\/3*l**3. Let n(f) = f - 1. Let u be n(-3). Calculate v(u).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*p = -207 + 157. Sort p, 4, 9.\nAnswer: 4, p, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the third derivative of l**5\/15 - l**3 + l**2. Let k(n) = -3*n**2 - 7 - 57996*n + 29001*n + 14 + 28995*n. Determine -7*j(o) - 6*k(o).\nAnswer: -10*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (-1 + (6 - 7)) - -1?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (14\/(-4) - -1)*-2. Let u(y) = -3*y - 8. Let x be u(-7). Suppose 2*n - x = 1. Solve -t*p + 8 = -n for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the second derivative of 1\/2*q**2 + 1\/5*q**5 + 0 + 5\/8*q**4 + q + 1\/2*q**3. Let t(c) be the first derivative of u(c). Factor t(w).\nAnswer: 3*(w + 1)*(4*w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 2*l - 4374 = -13135, 2*v + l - 5842 = 0. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*z + 439*z = 5404 for z.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**3 + 28*t**2 + 166*t + 100. Give r(-20).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13 and 11700?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 6*4*-4*(-1 + sqrt(2448) + -2) + -2)**2.\nAnswer: -647424*sqrt(17) + 22639729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 8 + 2 = 0. Solve 3 = 2*t + m, -i = 2*t + 3*m - 11 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(112)*2 - sqrt(112))*-5)**2 + ((-1 + sqrt(112))**2 + 3 - ((sqrt(112) - (sqrt(112) + -1 - sqrt(112)))**2*-4 - sqrt(112))).\nAnswer: -10632 + 28*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pxx when three letters picked without replacement from xppxpxxpxpxxppxx.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 26010521 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6428 = -4*l + 4*i, -20*l + 14*l = 3*i - 9669. List the prime factors of l.\nAnswer: 2, 5, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 92 a factor of 1463168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -3*h + 31, -r = h - 4*r + 13. Suppose 1 = h*o - 5. Factor 6*i**3 + i**4 - 3*i**2 - i**4 - o*i**5 - 3*i**3 + 3*i**4.\nAnswer: -3*i**2*(i - 1)**2*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**5 + 2*w**4 - 128*w**3 - 128*w**2.\nAnswer: 2*w**2*(w - 8)*(w + 1)*(w + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5.978 + 5.98. Which is the nearest to 1\/4? (a) -2\/5 (b) r (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence by when two letters picked without replacement from gxyznyb.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2.61? (a) 1\/3 (b) -0.08 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -3*n**2 - 1875*n = 0.\nAnswer: -625, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 30634795 * 0.2\nAnswer: 6126959","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:35 PM and 6:22 AM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 30*b**2. Let r(f) = 4*f**2 + 0*f**2 - 2*f**2. Determine r(g(h)).\nAnswer: 1800*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a tonne in kilograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 28072 - 9884 = -75012. List the prime factors of p.\nAnswer: 2, 5, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -30, 5, -3, -1, 36 in decreasing order.\nAnswer: 36, 5, -1, -3, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8337, -8341, -8345?\nAnswer: -8349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*v + 27*v - 30 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/3171 and (-33)\/(165\/86)*-10*2\/48.\nAnswer: 6342","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + 2 = 3*i, 4 + 1 = 5*z - 5*i for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.1738 + 7.8638. Let j = u + -7.7. Sort j, -0.1, 0 in decreasing order.\nAnswer: 0, j, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40839853 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 648 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 19*w + 30. Let y(n) = -378*n - 595. Let c(b) = 119*p(b) + 6*y(b). Let m(a) = -2*a. Let z = 27 - 24. Give z*c(s) - 8*m(s).\nAnswer: -5*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -762*o - 8 = -766*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -168*o**2 + 674*o - 8 = 0.\nAnswer: 1\/84, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - w = -3*h, 0 = -2*h + 5*w - 18. Let j(v) = -4*v + v**2 + v - h + 3*v. Suppose -3 = 5*o - 2*o. What is j(o)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(300) - -2*sqrt(300)*-1)**2*-4 - (sqrt(3) + sqrt(243) + -2 - -1*sqrt(243))**2.\nAnswer: -2287 + 76*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -6*3\/((-9)\/8). Let p(x) = x - 5. Calculate p(f).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 25 + 7794*h + 20 - 28 - 14 to the form k + r*h and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5372927 is divided by 304.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 2*x**2 + 1 + x**3 + 4 - 8 - 2*x as u*x**2 + i + q*x + v*x**3 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4151850501 + 1?\nAnswer: -4151850500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**3 + 10*i**2 - 3*i - 7. Let a be u(5). Let k(r) = 131*r + a*r - 155*r. Let p(c) = -c**2. Give k(p(x)).\nAnswer: -79*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 36848 and 163184?\nAnswer: 1142288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 1\/5 (b) -0.04 (c) 0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 + 4\/(-1) + 16 + 1. Solve -4*o = -16*o - g for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.15 + -5.15. Sort p, 0.2, -4\/7.\nAnswer: p, -4\/7, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.4 - 0.1. Let g = -33.8 + 33. Let f = g + -0.2. Put f, y, -2\/15 in increasing order.\nAnswer: f, y, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.710161kg in grams?\nAnswer: 5710.161","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 684 and 147402?\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/(-4))\/((-5)\/20). Sort i, -3, 6 in decreasing order.\nAnswer: 6, i, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*b = 348 + 165. Calculate the remainder when b is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-7)\/((-21)\/18) + -3. Let n = o - -1. What is the second derivative of 0*j - 3*j - j + 4*j**n wrt j?\nAnswer: 48*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3541684197?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = v + 3*l + 95, -3*v + 145 = -4*l. Suppose 1342 = 111*y + 232. Find the third derivative of -55*g - 4*g**3 - y*g**3 + 18*g**2 + v*g wrt g.\nAnswer: -84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:08 AM and 9:33 AM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nqqndwlrl. Give prob of sequence dw.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/24 of a century?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 86554306 to the power of 1\/2, to the nearest integer?\nAnswer: 9303","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1464 (base 7) in base 9?\nAnswer: -720","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 - -8. Suppose -90 = -d*o + 4*l - 22, 3*o - 53 = l. Suppose 6*h - 2*h - o = -4*x, -3*h = -4*x - 40. Calculate the highest common divisor of 8 and h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the third derivative of -u**4\/24 + u**3\/2 + 3*u**2. Let j be g(0). Solve x - 5*i = -15, -5*x - 3 = -2*i + j for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -6*u + 3. Let i(v) = -17*v + 9. Let c(y) = -3*d(y) + i(y). Let n(b) = 2*b - 10. Let z be n(7). Let p(k) = k**2 + z*k**2 + 4*k**2. Give c(p(g)).\nAnswer: 9*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/60750 and -41\/1320.\nAnswer: 2673000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10927321 to the nearest integer?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 - 115*h + 2525301*h**2 - 2525301*h**2 - h**3 in the form u*h**3 + z*h + l*h**2 + a and give a.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -26311610 rounded to the nearest one hundred thousand?\nAnswer: -26300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - (-1728)\/(-276))\/(61\/122)?\nAnswer: -12\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the second derivative of -26*s + 2\/3*s**2 + 0*s**3 - 1\/9*s**4 + 0. Factor t(z).\nAnswer: -4*(z - 1)*(z + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (4 - (8 - 10)) + -5 + 1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 302, 4, -276, 0 in descending order.\nAnswer: 302, 4, 0, -276","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 - -5. Let j be 3 + (-2 - q)*-2. Let f = 1 - 4. What is the second biggest value in -5, j, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/1135 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add -27469 and 4.81.\nAnswer: -27464.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/2 - (24\/(-3) + 3). Solve -5*j - 3*a = -16, -3*j - j = -u*a for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 499 - 498.517. Let z = -0.4830961 + j. What is z rounded to 5 decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -18*l**3 - 2*l**2 - 4*l - 1. Let j be t(-1). Solve -4*s + j = d, 6*d - 3*d + 5*s - 22 = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -35837, -35545, -35251, -34955, -34657, -34357, -34055?\nAnswer: -33751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5392214?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -137*x - 811. What are the prime factors of y(-50)?\nAnswer: 3, 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -159*h + 4*h**3 + 473*h - 1 + 5*h**2 - 160*h - 6*h**3 - 165*h in the form t*h + l*h**2 + m + d*h**3 and give l.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*r**3 + 13*r**3 + 13*r**3 + 22*r**3.\nAnswer: 76*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 + 18 + 3*t + 3*t + 3*t.\nAnswer: 9*t + 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 151789 to the power of 1\/3, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 42332 + -42332. Suppose 2*k = -0*k - 6. Put u, -4, k in ascending order.\nAnswer: -4, k, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5711 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 97\/4 + -24. Let d = -7 - -7.2. Which is the smallest value? (a) d (b) x (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**3 + 2*a**2 + 8*a. Let n be c(4). Solve 4*y - 2*d - 14 - 4 = 0, -3*y + d + 13 = n for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5345 (base 10) in base 4?\nAnswer: 1103201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2677.34689 rounded to the nearest integer?\nAnswer: -2677","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9 and 49185?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1930068 divided by -965034\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -70 smaller than -70?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**3 + z**2 + 1. Let j(p) = -55*p**2 + 3. Calculate j(c) - 3*u(c).\nAnswer: 3*c**3 - 58*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 1 + 2)*(-4*r**4 + 4*r**4 - r**4 + (-r - 1 + 1)*(-6*r**3 - r**2 + r**2) - 2*r**4 + 2*r**4 - 3*r**4).\nAnswer: -8*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*d - 56004 = 33*d. List the prime factors of d.\nAnswer: 2, 3, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47 is divided by -3 - 145\/(-50) - 122\/(-20)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 20*b**3 - 2*b**2 + 1. Let q be 2\/4*(-4 - -2). Let p be y(q). Let z = -10 - p. Is 9 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -4 and 791.6366712372.\nAnswer: 787.6366712372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1230122123101 - -2?\nAnswer: 1230122123103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**2 - o. Let x(d) = -3*d + d + 2*d - 4*d - 3*d**2. Give 4*f(t) - x(t).\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 9*u + 62 + 64 = 0, 0*u - 232 = -7*x + x - 2*u for x.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.8 - 1.73. Let q = g + 0.43. Let i = 11 + -6. Which is the nearest to 0.1? (a) q (b) -1 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 80\/3? (a) 89 (b) 1\/7 (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5307968, 29.\nAnswer: -5307968, -1, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 61419*r**3 + 2 + r**2 - 580*r - 122838*r**3 + 61418*r**3 + 2*r**4 to a + w*r + m*r**4 + b*r**2 + h*r**3 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1183 + 96?\nAnswer: 1229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 12019 divided by 19\nAnswer: 12019\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((1*-1)\/(-4))\/(146\/(-292))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xgx when three letters picked without replacement from {x: 10, g: 9}?\nAnswer: 45\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 7\/2 (b) -1\/6 (c) 505 (d) -2\/5 (e) -31\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/(-22) + (-371)\/(-77). Suppose 4 = -v + z*v. What is the lowest common multiple of v and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -213300 - 2?\nAnswer: -213302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**2\/8 - 1356101*i\/8 + 4068285\/4.\nAnswer: (i - 1356095)*(i - 6)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xfxxxxxxfxxxxxf. Give prob of sequence ff.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most as big as 1\/24207?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 495729 is divided by 54.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is f - -2?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*w + 52*w + 22 = 271 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3\/(-9))\/((-2)\/6). Let w be (6\/(-12))\/(n\/(-22)). Let h = w - 7. Solve 0 = 2*u - h*z, -u - 6*z = -z + 14 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 2*k + 5. Let r(a) = -a + 4. Let s be r(6). Let b be 56\/4 + (-4 - s). What are the prime factors of g(b)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**2)**9\/((n**(-2\/7)\/n)\/n)**(-1\/22)*(n**(-1))**(-14\/11)*(n**(-3\/2)*n)**(-1\/18) assuming n is positive.\nAnswer: n**(78161\/2772)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the second derivative of y**5\/20 - y**4\/3 - y**2\/2 + 2*y. Let s be a(2). Let x = s + 13. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(255\/(-68)) + (-2)\/3.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 - 18 = -7*f. Let j(v) = -v**3 + 17*v**2 - 6*v + 8. Let g be j(f). What are the prime factors of (g + -6)*4\/10?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b*b*b*(((b*((b*(b*(b**1*b)\/b*b)\/b*b)\/b*b)\/b)\/b)\/b)\/b*b))\/b**4*b**(-8)\/b**(-2\/7) assuming b is positive.\nAnswer: b**(-110\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -4*n**2 + 5*n**3 + 1067*n - 1067*n + 3*n**2. Give q(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 836*d + 1 - 1 + 78*d - 121*d + (-2*d - 2*d + 3*d)*(-2 + 4 - 1) + 0*d - 4*d + 2*d.\nAnswer: 790*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 265282409 to the nearest integer?\nAnswer: 16287","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2210 and 76.\nAnswer: 167960","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 91036 + -451701\/5. Let r = w + -708. Find the common denominator of r and 73\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**2 - 7*p + 5. Calculate d(-4).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14231 - 9731. Suppose -f = -3*n + 4*z, 7*z = n + 12*z - 1481. Round n to the nearest one hundred.\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -12*z + 3. Suppose 5 + 4 = 9*i. Calculate the remainder when 5 - i - (-156 + 13) is divided by b(-1).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**3 + j**2 + 1. Let h(f) = -f**2 + 30*f - 59. Let k be h(28). Determine c(k).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(102) - ((sqrt(102) + -2*sqrt(102) - sqrt(102)) + sqrt(102)))\/sqrt(3))\/sqrt(2).\nAnswer: 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Total of 325697794 and -208.92.\nAnswer: 325697585.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 308354 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1421 + -1421. Solve 11*p - 19 - 3 = s for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*b + i - 33 = 34*b, -4*b + 71 = -3*i. Calculate the remainder when 5998 is divided by b.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes after 1:42 AM?\nAnswer: 11:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(77) - (sqrt(77)*-1 - sqrt(77))) + sqrt(77))*5)\/(sqrt(63)*5).\nAnswer: 4*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.6 - 0.1. Let a be 21 - (-84)\/1155*-22*10. What is the biggest value in n, -0.2, 7, a?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -363, -359, -353, -345, -335, -323, -309?\n\"Answer: z**2 + z - 365","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/8 + (-462)\/(-88). Suppose -2*l - r*b = -1773, 224 = 2*l + 2*b - 1552. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100001011010 (base 2) to base 11.\nAnswer: 1674","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3320 divided by -332\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 3*v**2 - v + 2. Let q(j) = 5*j**2 - 2*j + 3. Suppose -5*b + m = 15, -3*m - 29 = 5*b + 6. Calculate b*q(f) + 7*k(f).\nAnswer: f**2 + f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-27)\/6)\/(2\/(-16)). Let r be 8\/(2*2\/j). Suppose -a - a = -r. Does 13 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 3*l + u, 777*l - 2*u + 22 = 780*l. Solve 2*h = -4, 0 = -s + 2*h - l*h - 9 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17 + -13 + (-28 - -6) + 1\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7976987*b**5 + 272*b**2 + 2*b - 310 wrt b?\nAnswer: -478619220*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -297744 by 6.\nAnswer: -49624","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -3*c + 30. Let b be (c\/8)\/3*-76. Suppose -14 = 3*m - b. Does 9 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -773 times 0.4\nAnswer: -309.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -1900*d - 3803. Give y(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sssossssssss. Give prob of sequence so.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 285 (base 11) in base 3?\nAnswer: 110102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6129 - 2819. Let k = -1890 - v. Is 0 + 3 + k\/(-3 - 2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/3*(-36)\/(-4). Put -3, v, -8 in ascending order.\nAnswer: -8, v, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 20325, 19204, 18083, 16962, 15841, 14720?\n\"Answer: -1121*a + 21446","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -5*w + 360 - 1025, 3*w = u - 388. Let v = w - -134. Solve 2*y + 10 = 0, 0*i + 5*y + 31 = v*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 2*i**2 + 189. Let j(k) = 44*k**2. Give a(j(c)).\nAnswer: 3872*c**4 + 189","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -2*s - 92. Let m(b) = -10*b**2 + 2*b. Calculate u(m(j)).\nAnswer: 20*j**2 - 4*j - 92","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 438?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 1\/20 of a millimeter?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -5*(1 - 2\/1). Suppose -4*z = r*x - 20, 2*z = 3*z - 2*x - 5. Let j = -11 - -15. Solve j*p + p + z = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -254 * -2.33341\nAnswer: 592.68614","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence enn when three letters picked without replacement from {n: 3, e: 3}.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, m: 3, w: 3, l: 3, d: 1}. What is prob of picking 2 m, 1 p, and 1 d?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * 1235\nAnswer: -370.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2105 + 2096. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*p + 1 + 0*p + 0*p)*(0*p + 2*p - 4*p) in the form y + v*p**2 + d*p and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 84 - 81. Suppose 2*k = -2*k + 20. Sort o, -5, -1, k in descending order.\nAnswer: k, o, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 5 - 19 = 0. Let j = 77 - 73. Suppose 0 = 5*c + j*m - k, 8 = -c + 8*m - 4*m. Round c to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = q - 333, 3*t + 80 = 2*q - 622. Suppose 12*s = 9*s + q. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the first derivative of -2*v**3\/3 + 4*v**2 - 6*v + 8. Determine r(5).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13311?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*k - 4*k = 47*k + 2872 - 1000 for k.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 15 = 0, -5*g + 4*g = -3*z + 11. Let o be (-12876)\/(-33) + g\/(-22). Round o to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -33 - -47. Suppose -6*q - 5*n + w = -3*q, 4*q - 4*n = 8. Suppose -2*v = t - 19, -5*v - q*t = -5*t - 52. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0829 and 3.\nAnswer: -0.2487","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17.9999776 - 18. What is m rounded to 6 dps?\nAnswer: -0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1686521.\nAnswer: 23, 73327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 22 + -20. What is the closest to -3\/4 in v, -3\/4, 3?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*y - 5*y**2 + 5*y.\nAnswer: -5*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*o**2\/23 - 2673466*o\/23 - 1336732\/23.\nAnswer: -2*(o + 668366)*(2*o + 1)\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (258\/774)\/((-2)\/(-54)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m - 14. Calculate b(-8).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3569766*h + 3569766*h - 2*h**3 - h**3.\nAnswer: -3*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 3\/5 (b) 330\/191 (c) -3\/7 (d) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (5\/(-15))\/(12\/72)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 3*b**3 + 6*b**2 - 8*b - 7. Let a(d) be the first derivative of 3*d**4\/4 + 5*d**3\/3 - 7*d**2\/2 - 6*d - 627. What is 7*a(s) - 6*j(s)?\nAnswer: 3*s**3 - s**2 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**3 + 3*s**2 - 2*s + 3. Let w be i(2). Let g = 474 - 471. Solve -15 = -w*k - g*y, 0*k - 2*y = -4*k + 14 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59 = -2*a - 59. Let b = 15 + -11. Solve a = u + b - 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3176 is divided by 26.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-21)\/9 + 0)\/((-2)\/6). Calculate the highest common factor of 14 and j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-141)\/(-188))\/((-6)\/(-40)). What is the third derivative of 67*t**2 - 11*t**w + 26*t**5 + 23*t**6 - 15*t**5 wrt t?\nAnswer: 2760*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1746.5 + -1746. Put m, -3, 56, -1 in decreasing order.\nAnswer: 56, m, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -44841047 or -224205238\/5?\nAnswer: -224205238\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 2*p - 3*p + 7 = 0, -4*j + 4*p + 4 = 0. Calculate the smallest common multiple of 1 and j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3995 and 170.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -131.3 to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**3 - 51*v**2 - 36*v + 1654. Determine t(51).\nAnswer: -182","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*x**4 - 25*x**3 - 6*x**2.\nAnswer: x**2*(x - 3)*(9*x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 36869639.784 from 3.\nAnswer: -36869636.784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 274 + -5?\nAnswer: 269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2060963 to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a - 2*j + 20, -2*j - 37 - 3 = -4*a. Suppose 9 = -6*k + 9*k. Suppose -4 = 2*l - k*l. Calculate the remainder when a is divided by l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1062296 is divided by 14754.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-20)\/(4 - 9) - -100. Suppose -2*b + 100 = -h. Let k = b - 7. What is the tens digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 655 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -2325359.402 rounded to the nearest 100000?\nAnswer: -2300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.5811 plus 0.141177?\nAnswer: 5.722277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4030 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 11546 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/8585 and -62\/482715?\nAnswer: 48754215","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -521 - -591. Calculate the remainder when 75 is divided by k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(66) - 1*sqrt(66)*-2) + 2*(sqrt(66) + -2*sqrt(66)) + sqrt(66))*2)\/(sqrt(216) + sqrt(216)*-1*6 + sqrt(216) - 2*1*sqrt(216)).\nAnswer: -sqrt(11)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18*k - 9*k - 13*k)*((-5 - 1 + 4)*(k**2 - 4*k + 4*k) + k**2 - 3*k**2 + k**2).\nAnswer: 12*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lologglgolo. What is prob of picking 1 o and 3 l?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 235720.9 litres to millilitres.\nAnswer: 235720900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*b**2 - 44845*b - 167989.\nAnswer: -4*b - 44845","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -421355, -844217, -1267079?\nAnswer: -1689941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes before 6:15 PM?\nAnswer: 8:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -77, -183, -319, -485, -681, -907?\nAnswer: -1163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 2*z**2 + 2*z. Suppose 4 = -3*i - o, 4*o = -2*i + 5*i - 16. Suppose 4*p = -i*p + 3*h - 20, -p - 6 = -h. What is m(p)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002257995 rounded to 5 decimal places?\nAnswer: 0.00226","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 - 1. Let z(l) be the third derivative of l**6\/120 + 4*l**5\/15 + 19*l**4\/8 + 3*l**3\/2 + 53*l**2. Let j be z(-5). Sort j, c, 0.\nAnswer: c, j, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -14086507 at least as big as -14086509?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16209443?\nAnswer: 3119, 5197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.02? (a) -3\/2 (b) 0.3 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 2*b**3\/5 + 194*b**2\/5 + 1584*b\/5 = 0.\nAnswer: -88, -9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 102 - 87. Suppose -g*c + 600 = -10*c. Suppose c = 5*d - 3*d. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**2 + 15*m - 6. Let o be q(12). Let s be (-12)\/o*2*-5. Solve -s*c + 5*i + 0 = 5, 4*i - 35 = -3*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 - (-6)\/3) + -3. Suppose -v = -2 - k. Determine b, given that 1\/5*b**v + 0 + 1\/5*b = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 10 + 2 + -3?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/511 or 0?\nAnswer: -2\/511","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78 is divided by 45?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*f - 18*f - 3*f)*(2 - 3 + 0)*(5 + 5 - 2)*(-5 + 3 + 5)*(-2*f**2 + 0*f**2 + 4*f**2) to the form p + s*f**3 + y*f**2 + b*f and give s.\nAnswer: 720","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 285*o**6 - 2*o**2 - 191.\nAnswer: 34200*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 - (-3 + -8 + 7)) + 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*t + 51*t - 2104 - 856 = 34*t for t.\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the first derivative of -x**3\/3 - 12*x**2 + 160*x + 3435. Determine h(-29).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -41640 divided by -5205?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (94 - 29*f - 94)*(-17*f - 37 + 37 - f).\nAnswer: 522*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -343, -706, -1091, -1504, -1951, -2438?\n\"Answer: -y**3 - 5*y**2 - 341*y + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 75623.42ug in kilograms?\nAnswer: 0.00007562342","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 412*o**3*s**6 + 59*o**3*s**2 - 5*o**3*s + o*s**6 wrt s?\nAnswer: 49440*o**3*s**3 + 120*o*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 539 and 1155.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 5*l**4 - 178385*l**3 + 1248410*l**2 + 1426800*l = 0.\nAnswer: -1, 0, 8, 35670","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*5*1*(-2 + sqrt(245) + (-2*sqrt(245) - sqrt(245)))**2.\nAnswer: -4920 - 280*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2e4 - c?\nAnswer: 2d8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17\/32 - 1\/32. Let v(y) = 5*y**3 - 2*y**2 + 2*y - 1. Let i be v(1). Suppose -i = w, -2*m + w + 4 = -4*m. Which is bigger: m or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 199 (base 15) in base 4?\nAnswer: 11301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -6730052 + -7.7\nAnswer: -6730059.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 705 and 373.1.\nAnswer: 263035.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 131607 and 146230.\nAnswer: 1316070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -9511091.5 rounded to the nearest 1000?\nAnswer: -9511000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -18.03 - -0.43. Let y = x + 19. What is y rounded to 0 dps?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 716.9968kg in tonnes?\nAnswer: 0.7169968","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 6*i + 1. Let j = -5 - -5. Suppose j = f - d, 8 = 2*f + 3*f - 3*d. Let q be f\/16 + 10\/(-8). What is k(q)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1716.808274 and 0.5.\nAnswer: 858.404137","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -31709\/3056 + 3\/3056. What is the common denominator of 89\/396 and z?\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 at most -1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*4\/40*(-30)\/(-16)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1335688 divided by -6712.\nAnswer: 199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 25941457 divided by -31987\nAnswer: -811","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:35 PM and 6:22 AM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -30*h - 113. Put -29, 2, h in decreasing order.\nAnswer: 2, h, -29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3362 - 3362 + 2*l**3 - 14389*l**2 + 2*l.\nAnswer: 2*l**3 - 14389*l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/(-3) + (-15)\/(-3). Suppose -3*o + 19 - l = 0. Solve -o*a + 6 - 31 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 44, 24, -4, -34, -60?\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 3 and -13917099?\nAnswer: 13917102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1358968 divided by -73.\nAnswer: 18616","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 5051 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 5*q**2 + 3*q - 1. Let b be m(3). Let j = b + -31. Calculate the highest common factor of j and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*d**2 + 20*d**2 - 48*d**2 - 62 - 70 + 132.\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 57 + -57.74. Let u = 0.24 + d. Sort u, -3\/4, 0.2 in decreasing order.\nAnswer: 0.2, u, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100*q - 137*q - 10138 = 0. Is -274 smaller than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -93620 > -93408?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0 (b) 31 (c) -4 (d) 0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*k**4 - 19*k**2 + 6*k + 4*k**4 - 2 - 7*k to b + n*k**3 + u*k**4 + d*k + y*k**2 and give y.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 131887 = 51*s - 93697 + 33773. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s**2\/2 + 10*s\/3 - 2\/3 = 0. Calculate s.\nAnswer: 2\/9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2 - 597048*x + 199020*x + 199023*x + 199012*x.\nAnswer: 7*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express ((o - 4*o + 5*o)*(1 + 3 - 3) - 8*o + 3*o - 4*o)*(-2*o - o + 2*o) in the form g*o + x + d*o**2 and give d.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o = 2*c, -4*o - 8*c + 22 = -9*c for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*o**2 - 1122 + 1122)*((-3*o**3 + 3*o**3 - o**3)*(2 - 3 + 2) + 5*o**3 - o**3 - 5*o**3).\nAnswer: -12*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2124 and 3482829.\nAnswer: 531","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6344 and 223236?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 7\/2 of a centimeter?\nAnswer: 35000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.05 and -551?\nAnswer: -27.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4869 + 7093. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -3*g**2 + 3*g + 2. Let t be s(2). Let q(f) be the third derivative of -f**4\/24 - 2*f**3\/3 + 3*f**2. Determine q(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 2*t - 14374, 7167 = t - 74*f + 70*f. Is t a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -p + 20. Suppose -3*w + 2*r = 4, 2*w - 3 = -3*r + 3. Let y = p + w. Solve -2*g = -3*x + x - 14, -g = -2*x - y for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 564*x**2 - 1 - 589*x**2 to d*x**2 + p + f*x and give d.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.368, 0.5, -0.06?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 285352245 is divided by 2407.\nAnswer: 2395","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 e when two letters picked without replacement from {f: 3, z: 5, e: 1, p: 1, l: 1, a: 1}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 13723729 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: Is -1 bigger than -103?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(272) - (-1 + -4 + sqrt(17)))**2 - (5 + (sqrt(17) + (sqrt(17) + 4)**2)*-5*-2).\nAnswer: -220*sqrt(17) + 2563","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 165\/(-33)*(0 + -1). Let l be (j\/15)\/(1\/54). Calculate the greatest common factor of l and 306.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 2\/333 (b) 52 (c) 0.052\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6018010?\nAnswer: 2, 5, 601801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*i = 28*i - 2 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 128\/3 + -42. Let -h*p + 4\/3*p**2 - 2\/3 + 4\/3*p**3 - 2\/3*p**5 - 2\/3*p**4 = 0. Calculate p.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22246*4.\nAnswer: -88984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 12*a - 15. Let j(h) = 3*h - 1. Let q(v) = -10*v + 3. Let z(w) = -7*j(w) - 2*q(w). Give -t(p) - 15*z(p).\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 645084\/27150 + -26 + 2?\nAnswer: -6\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15104, -15117, -15144, -15191, -15264?\nAnswer: -15369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 272\/5 + -54. Which is the closest to z? (a) 3 (b) -0.1 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -5*(-1)\/((-15)\/(-27)) is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 349.169 + -354. Let k = 0.031 + w. Let s = 1.8 + k. Which is the second biggest value? (a) 1 (b) 0 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*a**3*d*z - a**3*d + 1542688*a**3 + a**2*d - 31*a**2 + a - 22*d*z - 2*d + 58*z wrt a.\nAnswer: 18*d*z - 6*d + 9256128","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 33*r - 514. Calculate f(14).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*m + 15*m + 487032 = 0. Let i = -50658 + m. What is i rounded to the nearest 1000?\nAnswer: 71000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -15 + -939 + 973.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 36? (a) 3 (b) -1 (c) 0.34 (d) 2 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5160, -10319, -15478, -20637, -25796, -30955?\nAnswer: -36114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {t: 1, i: 3}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -709 - -5434. What is the hundreds digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 762.1233 millennia in decades?\nAnswer: 76212.33","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -20 greater than or equal to -600\/31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 22\/11 + 6\/3*-5. Is 0.15 less than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b - 1. Let j(v) be the second derivative of -2*v**2 - 1\/2*v**3 + 21*v + 0. What is -4*c(m) + j(m)?\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 274643749, 274643746, 274643743, 274643740?\n\"Answer: -3*d + 274643752","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/83721 and 29\/1339536?\nAnswer: 1339536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5 from 422.\nAnswer: 417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*j = -27947 + 28019. Let y be ((-2)\/4 + 0)*-8. Solve -j*i = -4*i + y for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**2 + 548*x + 144870.\nAnswer: -2*(x - 439)*(x + 165)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 88 (b) -3 (c) 1 (d) -5 (e) -2 (f) 18\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1539 + 2?\nAnswer: 153b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1*-4 - (24 + -32). What is the fourth smallest value in -0.4, 4\/5, b, -2\/21?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 23 + 93 = -2*r, 2*u + 5*r = -64. Let l = u + 37. Solve 2*p - 7*p + 10 = l for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -6 + 1 + (3 - -1). Do 4\/31 and w have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - (3 + (16 - 33)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3613662 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 101 = 5*t + 2*r, 4*t = -t + 5*r + 80. Calculate the remainder when 17 is divided by (t + 0 - -1)\/2.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 266219996\/34 - 12\/(-102). What is y rounded to the nearest 1000000?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8960191 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 1115, -57, 336 in descending order.\nAnswer: 1115, 336, -57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 3 = 7. Let w(p) = 2*p**2 + p - m*p - p + 1. Let x be w(1). Solve -4*c - 4*l + x = 33, -4*c - 3*l - 28 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2537302 to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 8341 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the first derivative of j**4\/32 + j**3\/4 + 9*j**2\/16 + j\/2 - 22. Find m such that d(m) = 0.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-10)\/(-6)*(-6)\/(-2). Let l = v + -6. Let g = l - -3. Which is smaller: 1 or g?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*i**2 + 375*i - 374*i + 2*i**2)*(4*i**2 + 2*i**2 - 4*i**2) - 86*i**4 + 9165*i - 9165*i to f + a*i + b*i**4 + s*i**2 + x*i**3 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3517 divided by -106?\nAnswer: -3517\/106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + l + 148 = 5*z, -3*l = -4*z + 125. Let t(q) = -q**3 + 30*q**2 - 30*q + 36. Let p be t(z). Solve -3*r = 2*n + p, 0*n + 4*n = -4*r - 16 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 5*i - 24181 - 155159 = 0, -2*i - 10 = 0. List the prime factors of f.\nAnswer: 35863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 681 a factor of 193887597?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14 - 3*t + 14)*(2*t - 5*t + 2*t) + (t - 2*t + 0*t)*(3 - t - 3).\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3544 + 3534 + 3528 + 3543 + 3759 - 17908 - 3*c**2.\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -619 - -623. Let d = -12 + 11.7. Let g = -1.3 - -0.1. Which is the second smallest value? (a) d (b) g (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i = 2*i + 52, -5379*o + 5350*o + 64 = 4*i for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.3517 - -4.3517. Which is the second smallest value? (a) 29 (b) p (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 508841 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(1\/15)\/((x*x**(-32))\/x*x*x*x) assuming x is positive.\nAnswer: x**(436\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2\/(-3) - (-452)\/12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q and 1 c when four letters picked without replacement from {c: 4, q: 9, u: 1, m: 1}?\nAnswer: 16\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes after 6:38 PM?\nAnswer: 1:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/6 and (20150\/(-336))\/(-31) + (-2)\/(-24)?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 0 + 22*x**3 + 20*x**3 + 4 + 52 wrt x?\nAnswer: 126*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*j**2 - 547 - 558*j**3 + 33 - 222 - 507*j**3 wrt j.\nAnswer: -6390","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((1008\/15)\/6)\/(-8 + (-1928)\/(-240)) is divided by 81?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, e: 1, j: 2, q: 4, p: 2}. What is prob of sequence xpqq?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(102)\/sqrt(48) - sqrt(34))\/sqrt(2)*-6.\nAnswer: 9*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8067 is divided by 134?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j + 5. Let c be g(-5). What is the common denominator of -2 + c + 158\/(-16) and 45?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l - 4*l = 4*u + 650 - 586, 7*u = 2*l - 134 for u.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**2 + 4*b - 6. Let v be i(6). Let s(y) = -y**3 - 17*y**2 + 14*y - 11. Let g = 32 + -11. What is the remainder when s(v) is divided by g?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13659310 rounded to the nearest one million?\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -47feb (base 16) to base 4\nAnswer: -1013333223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1\/(-3))\/((-110)\/(-1065)). Let a = -30\/11 - u. Factor 0 + 1\/2*i + 0*i**3 - i**2 + i**4 - a*i**5.\nAnswer: -i*(i - 1)**3*(i + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 621333476 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (1\/(-1))\/3*(-102)\/17 is divided by (-1 + 0)*(-3 + 2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - 11 - (2 + 2).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 14 + -35 + 14?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 9.844056 millimeters?\nAnswer: 9844056","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 3 + 0 - (573 + -590)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52*g + 47*g + 50*g + 52*g + 55*g - 272*g.\nAnswer: -16*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -2926555673 rounded to the nearest one million?\nAnswer: -2927000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -10*r**3 + 2*r + 1. Let x be a(-1). Suppose -3*t - x*t = -3*t. Solve -4*k - 3*i - 19 = t, 2*k - 5*k + 2 = -i for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 1 + 4)*(3*i**2 + i**3 - 3*i**2) + (2*i**2 + 3*i**2 - 7*i**2)*(-2*i - 2*i + 2*i) to u*i**3 + s*i**2 + d*i + m and give u.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -5*b**2. Let q = -4 + 6. Let a(i) = -q*i - i + 7*i - 2*i. Give a(f(n)).\nAnswer: -10*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (42\/(-35))\/((-5)\/(100\/8))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.091 - -0.80877135\nAnswer: 0.71777135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5504 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -9*z**3 + 2*z - 1. Let u = -43 + 64. Suppose -u*l = -18*l - 15. Let a(p) = -8*p**3 + 2*p - 1. What is l*d(b) - 6*a(b)?\nAnswer: 3*b**3 - 2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 368*a**4*j**2 + 50*a**4 - 105107*a**2*j**2 + 2*j**2 wrt a.\nAnswer: 8832*a*j**2 + 1200*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.1 minus 35025?\nAnswer: -35010.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 + (-826)\/(-105))\/(8\/(-10)).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-12)\/(-4) + ((-816)\/2)\/(-2). Let s = w + 56. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/10)\/(-9*1022\/(-1260)*-2).\nAnswer: -2\/73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 15708264 divided by -66\nAnswer: -238004","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20917*q**2 + 5*q - 14*q + 20918*q**2.\nAnswer: q**2 - 9*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 225, 446, 667?\n\"Answer: 221*w + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**3 + 12*x**2 + 7*x - 5. Let k be j(12). Suppose -h - 2*t = -15 + k, -182 = 3*h + t. Let a = -64 - h. What is the nearest to -1\/2 in 5, a, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2301822 rounded to three decimal places?\nAnswer: -0.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the second derivative of x**6\/360 + x**5\/40 + x**4\/6 - x**3\/3 + 6*x. Let s(u) be the second derivative of n(u). Let f = -8 - -5. What is s(f)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86472943 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20720 - 518 = 14986*l - 14769*l - 6055 for l.\nAnswer: 121","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 4 + 395*q**2 + 397*q**2 + 353*q**4 - 793*q**2 as c*q**3 + u + m*q**4 + a*q**2 + k*q and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_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: Convert -54274 (base 9) to base 12.\nAnswer: -1897a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 8 = 2*z. Suppose 0 = -d - 4*r - 19, 0 = -d + r - 3 + 9. Suppose d = -z*n - 11. Put 0, n, 2, 1 in ascending order.\nAnswer: n, 0, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - 45\/(-21))*(-72)\/144?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50154 is divided by 12528?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(637) + 1 + -1)*2 + -5 + 6*(sqrt(637) - (sqrt(637) - (sqrt(637) + 2))))**2 + 4.\nAnswer: 224*sqrt(13) + 40776","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 141*w**4 + 15*w**6 - 141*w**4 - 25*w**2 wrt w?\nAnswer: 1800*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -2*h**2 - 7*h - 2. Let m be p(-5). Let j = -13 - m. Solve -16 = -2*v + j*g, -g = v - 0*g + 4 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x - 14 = -32. Solve -x*t + 1 = 7 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.029*1737.946.\nAnswer: -50.400434","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 114 - 113. Which is the closest to j? (a) 2\/3 (b) -4\/3 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a factor of 194687938?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1 (b) 15.1 (c) 0 (d) 0.5 (e) 440\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 122, 112, 90, 50, -14, -108, -238, -410?\nAnswer: -630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s = 2*y + 10, -109*s = -111*s + 4*y for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, o: 1, d: 1, v: 1, l: 1}. Give prob of picking 1 a, 1 v, and 1 d.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*a - 2. Suppose 2*h + x - 11 = 2, -25 = -a*h - 3*x. Suppose -p + 4 = p. Solve -h*r + 2 = 4*v - 2*r, -3*v = p*r + 2 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 600 - 4?\nAnswer: 596","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 44965\/3 + -27615\/2. Let p = m + -1178. Let s = -841 + 1647\/2. Calculate the common denominator of s and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(-3\/5))\/y*(y\/(y*y\/y**(-3\/5)))\/y*(y\/((y*y**(2\/5)*y)\/y))\/(y**(2\/5)\/y) assuming y is positive.\nAnswer: y**(-9\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**2 - r. Suppose -h = 3*q + 13, 6*h - 2*h + 12 = -2*q. Let m be w(h). Solve -6 = 3*u - m*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -189 - 787. Let o = t + 1223. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 740196 a multiple of 116?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -866 - 48. Round a to the nearest one hundred.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14244.\nAnswer: 2, 3, 1187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9097073?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2972 and 22879942?\nAnswer: 45759884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/14698730 and -5\/10729.\nAnswer: 14698730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2951143 smaller than 2951143?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from akmauaambkaaabbmmk.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -356464398 - 12955\nAnswer: -356477353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:07 AM and 3:29 PM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1079 - 666. Is (m\/(-2))\/(1\/(-2)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 5*f - 6 - 12 = 0, 3*h - 5*f - 17 = 0. Let z be h\/((-4)\/(-8)) - -9. Solve -4*x = z - 23 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 880643.4 micrograms to grams.\nAnswer: 0.8806434","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 14429 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.048 in -0.2, -0.5, -118?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 108938 or -1983?\nAnswer: 108938","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -8, 0.4, 5, 7, 0.11 in decreasing order.\nAnswer: 7, 5, 3, 0.4, 0.11, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the third derivative of w**5\/180 - w**4\/2 - 13*w**3\/2 - 19*w**2. Factor j(z).\nAnswer: (z - 39)*(z + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -3, -2*g - 56*w + 17352 = -62*w. What are the prime factors of g?\nAnswer: 3, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -117\/50 and -21\/104855?\nAnswer: 1048550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + x + 11 = 0, 0 = -3*j - 2*x - 2*x + 13. Let u(d) = j*d - 5*d + 0*d. Let c(q) = 2*q. Let i(r) = 4*r. Let l(b) = 4*c(b) - 4*i(b). Determine u(l(s)).\nAnswer: 16*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + 3. Suppose 317*s + 1485 = 482*s. Let b(g) = g**3 + 5*g**2 + 3*g + 2. Let a be b(-4). Solve -i*d = s + a for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xnk when three letters picked without replacement from {n: 2, k: 2, c: 4, m: 2, a: 1, x: 1}?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/5, 0, -2\/7, -26, -2\/863 in ascending order.\nAnswer: -26, -2\/7, -2\/863, 0, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 - 28. Let y = x - -22.1. What is y rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59673.\nAnswer: 3, 19891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 18*l**3 + 24*l**2 - 58*l + 569. Let m(w) = 16*w**3 + 21*w**2 - 58*w + 570. Let i(v) = 6*j(v) - 7*m(v). Differentiate i(c) wrt c.\nAnswer: -12*c**2 - 6*c + 58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-1*sqrt(396)*-5*-2 + -3*sqrt(132)\/((sqrt(192) + sqrt(12))*5)).\nAnswer: 1503*sqrt(11)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 - -5 - -1*20. Suppose -5*q = -10*q + i, -52 = -3*w + 4*q. Let g = -62 + 229. Calculate the remainder when g is divided by w.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -23*d - 133. Is l(-105) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*j**3 + 10001*j + 2 - 4991*j - 5010*j + 19*j**3.\nAnswer: 25*j**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m = 6*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(3 - (-87)\/(-30)). Suppose 0 = -20*z + 15*z - y. Is 5 + -2 + z - -786 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 591729?\nAnswer: 3, 197243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06200006 rounded to two dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 34401 and 414.\nAnswer: 4747338","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.2 + -0.2. Let s = 0.355 - -0.055. Let r = s - 0.11. What is the closest to -1\/3 in r, 3, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/((-1)\/(-6) - (-2)\/(-4)). Let y(j) = 9*j - 7. Let k be y(u). Calculate the highest common divisor of 15 and k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6830808?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 6 = l - 5*g, 5*l + g = 22. Suppose l*i = k - 25, -3*i + 0*i = 9. Solve k*m = 10*m - 9 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 + 3*d**2)*(0 - 2*d + 0) + 16*d**3 + 23*d**3 - 29*d**3 to the form j*d**2 + u*d**3 + t + l*d and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 828\/12 - (2\/1)\/(-1). Suppose -4*s = -a + 191. Is ((s\/8)\/5)\/((-2)\/192) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4972 - 250. What are the prime factors of g?\nAnswer: 2, 3, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*c + c - c)*(284 + 52 - 8 + 494 - 16)*(2*c - 2*c - 4*c).\nAnswer: -19344*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*o + 2 - 5*o**2 - 7 + 1 - 4*o + 6*o**2 in the form k*o**2 + r + c*o and give c.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 788636 to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 23.6 - 21. Let z = x - 3. What is the third smallest value in 1\/4, z, 0?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 2*x + 12. Let k be r(-6). Let t = -5 + 13. Suppose k*h = q - 2*h + t, 2*h - 6 = 2*q. What is q rounded to zero decimal places?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2029 + 19015 = 6*l. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w*w*w\/w**(-11)*w*w**30)\/(w**2*w*w\/(w*w\/(w**(-1\/13)\/w))) assuming w is positive.\nAnswer: w**(586\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 131 - -1901. Does 8 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(468) + -1 + 5)*2 - (5 + (sqrt(117))**2 + -1 + 1)) + 2.\nAnswer: -109 + 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 9 = 1. Suppose -2*r + 3 = -5*q, -o*r + q - 27 = 2*q. Let i = 0.3 + -0.2. Which is bigger: r or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the third derivative of 4250*o**4\/3 - 4*o**2. Let f be r(-15). What is f rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m. Let v(d) = 362*d**2 - 5. Let o(j) = -1814*j**2 + 24. Let z(n) = -3*o(n) - 14*v(n). Determine t(z(w)).\nAnswer: -374*w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-4)*((26 + -101 - -24) + 9).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/(-12)*(-24)\/(-560)*10\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -660*k + 866 + 1890 = 247*k + 471*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 41, -12, 0, 2\/7, -1\/2 in descending order.\nAnswer: 41, 2\/7, 0, -1\/2, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 a when four letters picked without replacement from {a: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**2 - 2*o. Let a be h(-1). Suppose a = 3*v - 2. Solve n + 3 = -v for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 415 - 147. What is the hundreds digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.2 (b) -3 (c) 10 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -2232 divided by 4\nAnswer: -558","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(612)*-2 + (0 + sqrt(1700))**2 - (3*2*sqrt(85) + sqrt(85))\/(sqrt(5) + 2*sqrt(45)).\nAnswer: -13*sqrt(17) + 1700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68 is divided by 31?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 810?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 55051, 112751, 170451?\nAnswer: 228151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = u - 22. Let s(m) = 4*m + 40. Let c be s(-9). Suppose 2*d - 198 = -c*d. What is the highest common divisor of u and d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 4*i = 179368, 0 = -2*b - 3*i + 84930 - 13192. What are the prime factors of b?\nAnswer: 2, 19, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l + 5 - 187 = 0. Solve y + 2*i = 10, 4*i = -7*y + 2*y + l for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-1 + sqrt(300)*-1) + (5*(sqrt(300) + 0) + 5 + sqrt(300) + 0)**2 + 3.\nAnswer: 560*sqrt(3) + 10824","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -10, -2*v - v + 2*o + 28 = 0. What is the lowest common multiple of v and 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28050 = -944*i + 570*i for i.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 18*s**2 + 0*s**2 - 4*s**2 - 112*s + 784 - 10*s**2.\nAnswer: 4*(s - 14)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**2 + 27. Let k be x(0). Suppose -3*b - 12 + k = 0. Is b a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w**4 - 2964*w**3 - 886098*w**2 - 76071060*w - 1976076675 = 0. What is w?\nAnswer: -435, -59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(21)\/(sqrt(3) - sqrt(108)) + sqrt(7) + 1*-1*sqrt(7) - -2*(-1*sqrt(700) + -1).\nAnswer: -101*sqrt(7)\/5 - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6*(-20)\/32)\/(1122\/(-5984))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1158560 and 2228.\nAnswer: 1158560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 30 and 121527.\nAnswer: 1215270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 97 divide 29876?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in h**3 - 25*h**3 - 1655 + 1660.\nAnswer: -24*h**3 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + t = -24, 5*g - 4*t - 24 - 17 = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (1\/(1\/432))\/((-11)\/(99\/(-9))) and 756.\nAnswer: 3024","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 - -11. What is the second derivative of 0*p**4 + 3*p**4 + 3*p**4 + p - 5*p**x wrt p?\nAnswer: 12*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 79 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w = -4 - 3. Let j(a) = -4*a**2 - 8*a - 5. Let d(x) = x**2 + x + 1. Calculate w*j(u) - 6*d(u).\nAnswer: -2*u**2 + 2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -39.51, 0, -0.3, 0.0667, 1, 2 in decreasing order.\nAnswer: 2, 1, 0.0667, 0, -0.3, -39.51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03899 minus -10525?\nAnswer: 10524.96101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((1*sqrt(864) - ((sqrt(6) - sqrt(96) - sqrt(6)) + sqrt(6))*-2)\/((sqrt(432) - -1*sqrt(432))*5))**2*4.\nAnswer: -1\/50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2161253 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes before 11:15 PM?\nAnswer: 2:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes before 7:34 AM?\nAnswer: 9:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 13*u**3 + 6*u**3 + u**2 + u + 17*u**3 + 1 - 26*u**3. Let n(j) = j**3 + j + 1. Determine n(h) - x(h).\nAnswer: -9*h**3 - h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1\/2)\/((-7)\/(-42)). Let i be 1\/((-28)\/30 - -1). Suppose -3*j + 10 = -s + 2*s, 0 = 2*s + 5*j - i. Put n, 5, s in ascending order.\nAnswer: s, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/43688 and 101\/32.\nAnswer: 174752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m - 13. What is f(5)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82 = 6*c - 158. Suppose -3*g = 2*d - 54, 2*g = 2*d - 3*d + 28. What is the smallest common multiple of d and c?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 - -58?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((8 - -1) + -4 - 8) + -94 + 81.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70 = -17*u + 3*u. Solve y - 13 = 2*m, 2*m - u*y - 7 = -40 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**3 - 66*o**2 - 644*o + 221. Let l be s(-54). Let t be (2\/9)\/(1\/3). Which is the smallest value? (a) l (b) -0.8 (c) t (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52642769600 rounded to the nearest one million?\nAnswer: 52643000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -183 - -183. What is the third biggest value in -0.3, -1\/2, -0.4, m?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-4)*0\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1.9+-75\nAnswer: -73.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-3 - 2) + 2)*-9. Suppose -3*v + p = 5*k - 2*v, -2*v = 5*k - 29. What is the third derivative of 3*b**4 - 2*b**2 + 4*b**2 - k*b**4 wrt b?\nAnswer: -48*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 3 k when four letters picked without replacement from knnknkknnnnnkkknnnn.\nAnswer: 35\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-12)\/(-57))\/2 + 1980\/(-15561))*7\/(-14)?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**3 - 6*z**2 + 2*z + 3. What is d(-5)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sjs when three letters picked without replacement from {s: 5, j: 3, m: 1}?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**2 - 30*a - 504. Let g be d(42). Let p(c) be the third derivative of -5\/2*c**3 + g*c + 0*c**4 + 0 + 17*c**2 - 17\/30*c**5. Differentiate p(y) wrt y.\nAnswer: -68*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-15))\/((504\/5)\/(-12))*-15.\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11646831.\nAnswer: 3, 7, 554611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the third derivative of v**5\/60 - 283*v**4\/6 + 377*v**3\/2 - 4*v**2 + 11*v. Factor k(i).\nAnswer: (i - 1131)*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*q - 9*q + 1301 + 1293 - 2594 - 16*q.\nAnswer: -3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the second derivative of -t**5\/20 - t**4\/3 - t**3\/6 + t**2 - 6*t. Let o be g(-4). Factor -9*h**3 + h - o*h**3 - h**4 + 14*h**3 + h**2.\nAnswer: -h*(h - 1)*(h + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, -4, 7, -159, 2 in descending order.\nAnswer: 7, 2, 0, -2, -4, -159","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -4*u + 3*u. Suppose u = 5*l + 5*h - 85, 3*l + 23 = 3*h + 68. Let a = l + -13. Calculate the highest common factor of a and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*t**2 - 4*t**3 + 1 + 9*t**2 + 11*t**2 - 12*t**2 - 13*t - 2*t**4 as d*t + o*t**3 + q*t**4 + w*t**2 + n and give d.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 + -5)*6\/4. Let d = -8 - f. Differentiate 0*r**3 + d + r**3 - 2 wrt r.\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ini when three letters picked without replacement from viinnininin.\nAnswer: 10\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15 - -35. Let n be (l\/6)\/((-4)\/(-6)). Suppose -n*t + 3 = -12. Let q(r) = 3*r - 4. What is q(t)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 998880 to the nearest integer?\nAnswer: 999","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3608641 is divided by 213?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4059 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x = -4*f - x - 12, -5*f + 4*x - 9 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1637606 divided by -866?\nAnswer: 1891","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 480490 to the power of 1\/2, to the nearest integer?\nAnswer: 693","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 31 = c, -3*g = -3 - 3. Let m be (-2 - c)\/(15\/(-130)). What is the remainder when 105 is divided by (-12)\/30 - m\/5?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1089007, 2178895, 3268783, 4358671, 5448559, 6538447?\n\"Answer: 1089888*m - 881","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 63 - -43. Let s = 241 - f. What is the remainder when s is divided by 73?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -13516569636020 and -29?\nAnswer: 13516569635991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 5 (b) 4 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 56126.41kg in milligrams?\nAnswer: 56126410000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 8*j + 25. Let r be h(-3). Let k(x) = -14*x**3 - x**2 + 3*x - 3. Let a(y) = 28*y**3 + 2*y**2 - 7*y + 7. Let q(w) = 2*a(w) + 5*k(w). Give q(r).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7369*u + 4675*u + 3624*u)*(-4 + 1 + 1) - 5*u + u + 3*u + (u + 5 - 5)*(-1 + 5 - 5).\nAnswer: -1862*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 0.7 (b) -5 (c) -33\/2 (d) 4\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = q, 0*s - 2*s + 5*q = 10 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 492152 by -4.\nAnswer: -123038","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 4*m. Let x(v) be the second derivative of -2*v + 1\/6*v**4 + 0*v**2 + m + 0*v**3 + 1\/10*v**5. Find the third derivative of x(z) wrt z.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 210 - 204. Let o(y) = y - 7. What is o(m)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00045368 to 4 decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*w**3 + 1728*w**2 + 1716*w - 3448.\nAnswer: 4*(w - 1)*(w + 2)*(w + 431)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1786926340?\nAnswer: 2, 5, 101, 884617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5\/153? (a) 8 (b) 313 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -52\/11 - -446\/99. Let j be 26\/(-10) - (-2)\/(-5). Let d be (-2 - (-5 - j))\/3. Which is bigger: d or k?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 159 = 4*s + 5*r - 2*r, 3*s = -2*r + 120. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g*g**(6\/7)\/g*g)**(-39) assuming g is positive.\nAnswer: g**(-780\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t + 3*v = -3*t - 44, 0 = 4*t + 4*v - 44. Solve u = -3*i + t, -3*u - 13 + 2 = -2*i for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -213.3 + 211.3. Which is the smallest value? (a) 5 (b) m (c) 0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -213011000 (base 4) to base 9\nAnswer: -263508","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -37054*r**2 - r. Let i(j) = -7*j. Determine y(i(m)).\nAnswer: -1815646*m**2 + 7*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.6? (a) 1 (b) 109 (c) -106\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4094235 and 231435.\nAnswer: 1665","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the third derivative of v**6\/15 + 86*v**2. Let s(m) = -7*m**2 + 14*m**2 - 7*m**2 + m**3. Determine k(o) - 3*s(o).\nAnswer: 5*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the second derivative of d**3\/6 + 11*d**2\/2 + 2*d. What is the tens digit of z(8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(468) - (-2*sqrt(468) - sqrt(468)))*4)**2 + ((-5*(sqrt(78) + sqrt(78)*-1) + sqrt(78))\/((sqrt(24)*-2)\/sqrt(4)))**2 + -4.\nAnswer: 479229\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0, -2, 4 in decreasing order.\nAnswer: 5, 4, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1985 and 188926345.\nAnswer: 1985","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15 + 6 + 11 - 6*s**2 + (-4*s + s + s)*(-6*s + s + s) + 33 - 33 + 2*s**2 to z*s + m + w*s**2 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6.9 - 7. Which is smaller: p or -18?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (-6 + 7 + -4)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 361 - 362. What is the closest to 31 in 0.4, -3, -2, j?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 + 13. Let v(q) = q + k*q - 3 + 3*q. Let a(y) = -3*y + 1. Suppose -45 = -123*x + 52*x + 56*x. Give x*v(r) + 8*a(r).\nAnswer: 3*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -27\/31550 and 6\/25.\nAnswer: 31550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3038167 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 + -48417589?\nAnswer: -48417591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 236 + -715\/3. Is -1 at least n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 798 is divided by 788.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/4)\/((-3)\/(-96)). Is 8 a factor of (p\/6 - 3)*-51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 6*j = h + 8, 0 = -3*j - 6. Suppose h = -3*p - 4*p + 28. Solve -p*z + 18 = 2 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*h*j**3 - 8*h*j + 2*h + 6841*j**2 + 879741 wrt j.\nAnswer: -9*h*j**2 - 8*h + 13682*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -33.26 + 33.260126. What is a rounded to 5 dps?\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 11565738*t. Let b(n) = -56*n**2. Determine b(w(g)).\nAnswer: -7490912547140064*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1295924?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6b4 (base 14) to base 7.\nAnswer: -3614","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 103 - 100. Let i(t) = -t**4 - 22*t**3 + 3*t**2 - 3*t + 4. Let q(g) = -g**3 + g**2 - g. Let v(d) = b*q(d) - i(d). What is the derivative of v(c) wrt c?\nAnswer: 4*c**3 + 57*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 949 + -18043\/19. Let n = -53 + 51. Is n < v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in -1.1, -2, 3\/7, -2\/9, 1396, 21?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-112)\/(-4312))\/(8\/88). Let y(k) = 2*k**3 + 13*k**2 - 6*k + 2. Let m be y(-7). Put 0.3, -0.13, l, m in increasing order.\nAnswer: m, -0.13, l, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3912710?\nAnswer: 2, 5, 521, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -386393 + 542415. Let k = o + -156021.838266. Let t = 0.162 - k. What is t rounded to five decimal places?\nAnswer: 0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/45, -0.3, -0.336, -10, -5, 1\/9?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*h**4 - 11700*h**3 + 21910*h**2 + 37320*h + 3672 = 0. What is h?\nAnswer: -1, -2\/19, 3, 306","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3 + -310 + (-2)\/(-2). Let f be 1\/1 - g\/(-187). Let t = f + -6\/77. Sort t, 1, -1\/4 in ascending order.\nAnswer: t, -1\/4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (68\/(-16))\/17 - 16322\/(-8). Suppose 0 = -10*i - 470 + s. Round i to the nearest ten.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - ((-25)\/23 - (-1 - -1))?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**3 - 6*a**2 - 10*a - 23. Let r be d(-5). Solve -r*t = -t - 3 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -214 (base 5) in base 3?\nAnswer: -2012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2230773, 2230658, 2230541, 2230422, 2230301, 2230178?\n\"Answer: -j**2 - 112*j + 2230886","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3639258.\nAnswer: 2, 3, 7, 17, 1699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -21170*(-37)\/1110 - (-7)\/3. Let z be 15*1 - (4 - 1). What is the greatest common divisor of v and z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39113 is divided by 4783?\nAnswer: 849","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 276 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0293304 to 3 decimal places.\nAnswer: -0.029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/27 and -119\/54?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1018905808, 1018905807, 1018905806, 1018905805?\nAnswer: 1018905804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*t + 24*t - 4554 = -6*t + 6*t for t.\nAnswer: 99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90 = -4*y + 3*y + i, 5*y - 450 = 2*i. Let g = 272 - 268. What is the remainder when y is divided by 4 + 19\/(-5 - (-2 - g))?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3\/4 or -42?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.07 - -5.07. Let a = 4 - m. Let w = 29\/2 + -14. What is the closest to a in 5, -4, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.66 + 0.96. Let i = -238 + 706\/3. Is i at least a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-77)\/7 + 13)*1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 - 1. Suppose 10372*f - 10360*f = -12. Sort 1, j, 3, f in increasing order.\nAnswer: j, f, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5654564*y**5 + 634537*y wrt y.\nAnswer: 113091280*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**2 - 14*r - 16. Let p(o) = o**2 + 2*o. Let z be p(6). Suppose 3*n = -n - z. List the prime factors of v(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 4*j = -130, 4*l + 2*j - 100 = l. Suppose 1 = -4*d - 7. Let y be 1\/(l\/63) + d. Which is bigger: y or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 33528\/(-28) + ((-204)\/(-1666))\/(8\/28). Which is smaller: r or -1196?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (15\/22)\/((-33)\/(-66)) and -74\/177?\nAnswer: 1947","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o*o**1*o))**(-36))**(-1\/10)*(o**(1\/2)*o**0)\/(o**3*(o**(-1\/3)*o)\/o) assuming o is positive.\nAnswer: o**(-281\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a - 136*a = -9100. Calculate the smallest common multiple of a and 13.\nAnswer: 910","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/4*(-2592)\/(-540)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -528 divided by 24.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.086 + 0.174. Let g = -561.56 + 550. Let c = w + g. What is c rounded to the nearest integer?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -277929 less than or equal to -277933?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 182 is divided by 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - 2. Let j = 153 - 148. What is the nearest to t in 3, j, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (150*1\/18)\/((-6)\/18).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1\/3, -0.08, 2, 4, -0.2, -53, -4\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 36809?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-22)\/((-79)\/(2133\/(-324)))\nAnswer: -11\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28*(-4331)\/10248 + (-1)\/6.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -3*x**2. Let l(n) be the second derivative of n**4\/4 + n**3\/6 - 277*n**2\/2 + 143*n + 1. Let y(b) be the first derivative of l(b). Calculate g(y(m)).\nAnswer: -108*m**2 - 36*m - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the third derivative of -w**6\/120 - w**5\/60 + w**4\/24 - 2*w**2. Let g be n(0). Suppose -3 = -3*q - g*q. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5456\/434*42\/(-24).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 36686647 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -280 - d**2 + 0*d**2 + 280. Let j(g) be the second derivative of 5*g**4\/12 + g. What is w(j(n))?\nAnswer: -25*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 329 + -308. Suppose -k*t = -37*t + 5600. Is t a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -4360130.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -1\/26, 0, 0.03?\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h + 2. Let q be y(-2). Suppose q = -14*o + 12*o + 308. Does 22 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 495, -0.12, 5 in decreasing order.\nAnswer: 495, 5, -0.12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of (-7)\/(-14)*-12 - -5 - -2182?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -167033 by 36.\nAnswer: -167033\/36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 11) to base 8.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -3*c**2. Let b(i) = -798*i. What is b(y(h))?\nAnswer: 2394*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.8 - 1.3. Let p be 12\/(-10)*354\/63. Let n = p + 50\/7. What is the third biggest value in n, -3, t?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2802 is divided by 681.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8.684 + 682.384. Round x to the nearest one hundred.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 19\/4 of a hour?\nAnswer: 17100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r + r - 6*r - 9*r + r)*(677162 - 677162 - 1982*r**3).\nAnswer: 29730*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n\/((n**(-6\/13)*n)\/n)*n*n**(2\/7))**(-1\/14))**(7\/6) assuming n is positive.\nAnswer: n**(-341\/1092)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 4, v: 4, u: 2}. Give prob of sequence dv.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 9\/(-6)*193\/63. Let p = z - -31\/6. Suppose -5*o + g = -10, -2084*g = -2088*g. Is o less than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50*w - 40*w + 21*w.\nAnswer: -69*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 184 by -4.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15134 + -15065. Let x(q) = -q**3 + 70*q**2 - 62*q - 483. Determine x(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((q\/(q**(-2\/21)*q*q))\/q*q)\/(q\/q**(-8)*q))\/((q**(-3\/8)\/q)\/q*q*q*q**(-2\/7)))\/(q*(q**(4\/3)\/q)\/q*q*q\/(q\/q**2*q)*(q**1)**(-47)) assuming q is positive.\nAnswer: q**(5783\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*n**2 + 4*n**2 - 3*n - n**2 in the form d*n**2 + f*n + p and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:46 PM and 11:10 PM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4446015546 to the power of 1\/2, to the nearest integer?\nAnswer: 66678","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*v + v + 16 - 9)*(0 - v**3 + 0) in the form d*v**2 + j*v + q*v**3 + b*v**4 + l and give q.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 - 2 - 33)*10\/(-25). Calculate the highest common factor of 70 and a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -68*q + 474. Let o be p(7). Sort o, -677, 4 in ascending order.\nAnswer: -677, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 3*s = 12, m - 4*s - 16 = 3. Let f(g) = -3*g**2 + 2*g + 1. Let q be f(m). Sort q, 1, 7 in ascending order.\nAnswer: q, 1, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 32, 110, 240, 422, 656, 942, 1280?\n\"Answer: 26*z**2 + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**7\/b**0)**(-14)*((b**(-7\/3)*b)\/((b\/(b\/(b**(-8)*b)))\/b))\/(b**1\/(b*b**4*b*b*b)) assuming b is positive.\nAnswer: b**(-253\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -5*p + 8. Suppose -56 = -j - p. What is the greatest common factor of 6 and j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cqcqccccc. Give prob of sequence qc.\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*c + 18*c + 6 = 0. Let n(p) = -p**2 - 7*p - 7. Let x be n(-5). Find the second derivative of 9*u**x + c*u**3 - 1 + 7*u + 1 wrt u.\nAnswer: 72*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12.0195468 + 12.02. Round y to five dps.\nAnswer: 0.00045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 4499192.\nAnswer: 3\/4499192","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/28 + 1 - (-19 - (-962)\/52).\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*k**2 - 86631*k - 34650 = 0. Calculate k.\nAnswer: -5775, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -38 (base 11) to base 16.\nAnswer: -29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y + 11. Let n be l(12). Let d be (3 - 2)*(-23)\/n. Calculate the greatest common divisor of 253 and d.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 744?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3026 times -409?\nAnswer: -1237634","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 4*w**2 + 5 + w**3 + 5*w + 1 - 2*w**3 + 0*w**3. Let g(x) = -x**3 + 7*x**2 + 2*x - 9. Let s be g(7). What is the units digit of i(s)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes after 8:52 AM?\nAnswer: 6:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**5 - j**3 - j - 1. Let m(u) = 3*u**5 + 4*u**3 - 5*u**2 + 4*u + 4. Let x(c) = -m(c) - 4*t(c). Find the third derivative of x(d) wrt d.\nAnswer: 60*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/4*(-1 + 15). Let r(y) = -16*y - 18*y - 1 + 156*y - 118*y + 2*y**2. Let n(q) = -4*q**2 - 8*q + 2. What is i*r(h) - 4*n(h)?\nAnswer: 2*h**2 + 4*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the first derivative of -5*w**4\/4 - 3*w - 1. Suppose 2*h = 3 + 13. Suppose -3*a + a + h = 0. Let p(f) = -6*f**3 - 4. Determine a*t(l) - 3*p(l).\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1459 + -616. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(130)\/sqrt(10))**2*6 + sqrt(1300) + -2.\nAnswer: 10*sqrt(13) + 76","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n**2\/7 - 53740*n\/7 + 360998450\/7 = 0. Calculate n.\nAnswer: 13435","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*y**2 + 6976 - 13921 + 6945.\nAnswer: 34*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 2*f - 13 = -3*u, 23 = 5*f - 2*u. Suppose 0 = 2*t + 3*i - 30 + 9, -5*t + 2*i = -f. Let l = 1 + 0. Calculate the remainder when t is divided by l.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - v - 18 = 0, 3*v - 27 = -4*n - 5. Let l be -1 + (8 - 6) + 4. Suppose 5*f = 5*c + 20, 0 = 3*f + l*c - 17 + 5. Solve f = -0*o - n*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.399 not equal to 96?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**3 - 50*o**2 - 216*o. Let x be j(54). What is the second smallest value in x, -2, -23, 0.2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 5*a**2\/4 - 89245*a\/4 + 89235\/2 = 0.\nAnswer: 2, 17847","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -89, -87, -87, -89, -93, -99?\n\"Answer: -t**2 + 5*t - 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -25? (a) -2 (b) 0.1 (c) 166 (d) -22\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -580*i. Let p(g) = -2*g. Give h(p(t)).\nAnswer: 1160*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 102 and 1326?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes before 2:39 PM?\nAnswer: 12:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 54659857?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -8450*f**5\/7 + 7024810*f**4\/7 - 2375342*f**3\/7 - 1095522*f**2\/7 + 219312*f\/7 + 59832\/7 = 0?\nAnswer: -3\/13, 2\/5, 831","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 293, 606, 919?\nAnswer: 1232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 346*h = -361*h - 375*h + 1043*h - 1560 for h.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 186868349 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 76 - 40. Calculate the least common multiple of s and 3.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -19007950 at most as big as -19007972?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*t**2 - 5 + 5 - 2*t**2.\nAnswer: 21*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 56 + -29 - -2 - 34\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the first derivative of 202*w**3\/3 - 13*w**2\/2 + 9*w + 34. Find the second derivative of q(o) wrt o.\nAnswer: 404","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.46 + -3.4. Let q = f - -3.84. Let m = q - 3.90045. What is m rounded to four decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -52 + 36 + 56 + -94.\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 770 divide 103009837?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -8 - 1 - (-32 + 20). Solve 0 = -0*u - 2*u + z*g - 16, 0 = -2*u + g - 8 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1055033 and -0.8?\nAnswer: 844026.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*y + 32*y - 68 - 11*y + 5 - 15*y.\nAnswer: -3*y - 63","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 909b4 + 4a8?\nAnswer: 9107c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 7, v: 5}. Give prob of sequence vvv.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*j + 11 = 50. Suppose -208 = -4*l + 2*q + 346, 2*l + j*q = 297. Let n = 57 - 21. What is the remainder when l is divided by n?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, 9, 14, -18, 1, -3 in decreasing order.\nAnswer: 14, 9, 1, 0, -3, -5, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 14 = 16. Let u be (-6 + 3)*2\/n. Let m be (-20)\/(-72)*(-4)\/10. Is u at most m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -194.6*-117252\nAnswer: 22817239.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c\/(c\/c**25*c))*c\/(c**23\/c*c))\/(c\/((c*c**(1\/8))\/c))**(-16) assuming c is positive.\nAnswer: c**(-31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1116073 and 5?\nAnswer: 5580365","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17172 is divided by 1570.\nAnswer: 1472","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**3 + 8*v**2 - 12*v - 13. Suppose -5*l - 10 - 35 = 0. Is 10 a factor of f(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*w**3 + 0*w**3 + 0*w**3)*(-90 - 87 - 87) to m + s*w**3 + f*w + p*w**2 and give s.\nAnswer: 528","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 125318173 is divided by 353.\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -764, -786, -810, -836?\n\"Answer: -q**2 - 19*q - 744","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*x**5\/2 + 1245*x**4\/2 + 4795*x**3 + 6795*x**2 + 6045*x\/2 + 845\/2 = 0.\nAnswer: -13, -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f = -g + 2*g + 147, 0 = -4*g + 1175 - 1163 for f.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10771260 divided by 10.\nAnswer: -1077126","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 - 4 - 2)*(1 + 0 + 1) + 7 - 22 - 14 - 2 - 2 + 2)*(-4 - 2 - 8)*(3 + 3 - 5)*(-96*m - 79*m + 139*m).\nAnswer: -17640*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -17.2 + 19.2. Which is the nearest to -0.45? (a) -2\/5 (b) 4 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**2 - 12*j + 68. Suppose 4*r - 16 = 5*r. Let t be i(r). Solve -t = -2*m - 2 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -2*g. Let b(i) = -1124 + 1124 + 700*i**2 - 55*i. Let y(f) = -50*f**2 + 4*f. Let n(a) = 4*b(a) + 55*y(a). What is n(s(j))?\nAnswer: 200*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and -0.031.\nAnswer: -0.093","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 + 33d?\nAnswer: 341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n - 9*n + 22. Solve 2*l - 7 = x, n*l - 3*x - 18 = -3*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2449842, 2450198, 2450784, 2451594, 2452622?\n\"Answer: -b**3 + 121*b**2 + 2449722","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xggggggggggxxg. Give prob of picking 1 x and 1 g.\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -13197, 0.2 in ascending order.\nAnswer: -13197, 0.2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 25 - 5*o**2 - 15*o**2 + 9*o - 8*o**2 + 26*o**2 - 14*o**2 - o**3. What is h(-16)?\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 16) to base 15\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -19*h + 23*h - f, 2*f + 71 = -5*h. Let v(z) = -z**3 - 9*z**2 + 21*z - 9. Determine v(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 460 a factor of 4454180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 19\/(-4)) + 10444\/(-5968)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 - 251?\nAnswer: -246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -92.7 - -127. Let k = 35.3 - g. Put 0.1, -0.036, k in increasing order.\nAnswer: -0.036, 0.1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*z - 4*b = 17*z + 6, 2*z = 3*b + 22 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(119) + sqrt(119) + (sqrt(119)*3*-1 - sqrt(119)) + sqrt(119))\/(sqrt(49)\/(sqrt(7)*3 + sqrt(7))).\nAnswer: -4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 (base 4) in base 8?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4249*-5\nAnswer: 21245","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**2 - 6*z + 4. What is o(5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - (-16 - -7) - 7.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 3584023?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -123.6 from -0.05.\nAnswer: 123.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**2 - 5*h + 2. Let c be b(-5). Suppose -3*w + c*u = -58, -4*w + u = w - 92. Calculate the remainder when 69 is divided by w.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 94126906 to the power of 1\/2, to the nearest integer?\nAnswer: 9702","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q + 3*q + 0*q + 1)*((5 - 3 - 4)*(-2 - 2 + 2) + 1304 - 871 - 766).\nAnswer: -658*q - 329","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17 + -17. Suppose -g - 7 + 3 = x. Let z(n) = -n**3 + n**2 + 4*n + 4. Let o(u) = 2*u**3 - 2*u**2 - 7*u - 7. Let k(b) = g*o(b) - 7*z(b). Give k(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 114307*l**4 + 142039*l**2 wrt l?\nAnswer: 2743368*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 25\/20 + (-6)\/(-8). Suppose 3*c + 2*h - v = 5, 4*h = -c - 11. What is the greatest common divisor of c and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -264460 = -264432?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9\/2? (a) -63 (b) -3\/4 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes after 10:31 AM?\nAnswer: 10:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 34529792?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 3021 (base 7) to base 6\nAnswer: 4500","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.3 (b) -6 (c) 5 (d) 2\/19 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -3*w + 5*w + 2*w + 7. Let f be x(-2). Let o = f - -7. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 19824623?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 58\/3795 and 5\/22.\nAnswer: 7590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.5728133 milligrams?\nAnswer: 0.0005728133","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 68194969 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -69*l**3*y**2 + 6*l**3*y + 2*l**2*y - 679*l*y**4 + 21*l*y - 9*y wrt y.\nAnswer: -138*l**3 - 8148*l*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -44 divided by -79.\nAnswer: 44\/79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 877, 734, 585, 424, 245?\n\"Answer: -s**3 + 3*s**2 - 145*s + 1020","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 79 (base 12) to base 13.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 + -6)*(-35460)\/(-244674)?\nAnswer: -10\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-36)\/(-405) + 4 + 232\/(-60). Factor 16\/9 - 8\/3*u - y*u**3 + 4\/3*u**2.\nAnswer: -2*(u - 2)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*p = 36*p + 91. Suppose 3*j = 6*j. Suppose k + k - 2 = j. What is the least common multiple of k and p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -j + m + 5, 5*j = -4*m + 45. Suppose 0 = -4*t + 3 + j. Suppose -h - t*b - 31 = -82, -5*b - 30 = -h. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/54 and 22\/489?\nAnswer: 8802","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 695*q + 362*q - 1703*q to c*q + d and give c.\nAnswer: -646","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2832 + 35571 = 9*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 fourth biggest value in -31, 1, 2\/3, 5?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00041606 rounded to six dps?\nAnswer: 0.000416","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/1 + 19 + -21. What is the lowest common multiple of ((-1)\/((-3)\/(-3)))\/(0 + m) and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(72)*1)\/sqrt(9))\/(sqrt(400)*-1*4).\nAnswer: sqrt(2)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d - 36 + 27 + 28)*(-2 + 13 - 4)*(5 - 3 - 3).\nAnswer: 14*d - 133","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.07 + 0.23. Suppose -58 + 490 = 8*f. Let v be (-26)\/(-8) + f\/72. Sort n, v, 5 in descending order.\nAnswer: 5, v, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*g + 3\/4*g**4 + 1083*g**2 + 57*g**3 + 0.\nAnswer: 3*g**2*(g + 38)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10*z**6 - 34*z**3 + 1423*z**2?\nAnswer: -1200*z**3 - 204","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10675527 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.01 + -0.07. Let v = -3.92 + j. What is the second biggest value in 1\/4, v, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 42 and 9.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -199659, -399147, -598637, -798129, -997623?\n\"Answer: -s**2 - 199485*s - 173","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7364 and 1348.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 289, 585, 881, 1177, 1473?\nAnswer: 1769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9684931 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 14) to base 15\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**2 - 5. Let c(h) = h**2 - 7*h - 3. Let z be c(7). Let b be z*(-4)\/3*-1. Calculate the remainder when 32 is divided by v(b).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 654886?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the third derivative of 13*p**7\/5040 + p**6\/90 - p**5\/12 - 8*p**2. Let s(q) be the third derivative of k(q). Differentiate s(o) wrt o.\nAnswer: 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -39*r**2. Let d(x) = 327*x**2. Give o(d(m)).\nAnswer: -4170231*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -8, -1\/3, -2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1739*p**3 - 5 - 1 + 4 + 14865*p**3 - 3784*p**3.\nAnswer: 12820*p**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -276*q**2. Let c(p) = 351*p**2. What is c(x(d))?\nAnswer: 26737776*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 20743 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k**2\/4 + 155521*k\/4 - 38880 = 0.\nAnswer: 1, 155520","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 63*z**2 + 159*z**2 - 8 + 10.\nAnswer: 222*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2744.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 150 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the third derivative of -441\/2*m**3 + 1 - 21\/4*m**4 + 0*m + 74*m**2 - 1\/20*m**5. Find y, given that z(y) = 0.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -336102 (base 10) to base 4.\nAnswer: -1102003212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(36)\/sqrt(2) - sqrt(18))\/sqrt(9) + sqrt(98) + 0)**2.\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3\/4, 270, 19, 2\/5, 2?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 323161691?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/84495 and -17\/120573.\nAnswer: 3395938545","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than -6\/1511?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 - 4. Let w = 47 + -34. Calculate the remainder when w is divided by k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2669 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -15, -12, -9, -6, -3?\n\"Answer: 3*f - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1179 and 524?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -798 + 797. Let r = 10 - 9.2. Let i = -0.9 + 1. Which is the nearest to z? (a) r (b) i (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0224*38.754\nAnswer: -0.8680896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -4.56, 0.4 in decreasing order.\nAnswer: 0.4, -0.2, -4.56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12\/23, -1\/5, 0.4.\nAnswer: -12\/23, -1\/5, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 27369 + -27363. What is the fourth biggest value in -1\/2, 17, o, -1\/5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*t = 2204 - 1864 for t.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d = 4*d + 3. Let s = d + 1. Factor 1\/3*i**5 + 0 + 1\/3*i + 0*i**4 + 0*i**s - 2\/3*i**3.\nAnswer: i*(i - 1)**2*(i + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t = -y - 30, 120 = -2669276*y + 2669272*y + 5*t for y.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -163*i + 5 - 9 - 10 + 18 as b + m*i and give m.\nAnswer: -163","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -19 + 22 + 55 + 8*q. Calculate the remainder when 58 is divided by j(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 373122 - 194769577\/522. Let u = k - -1\/58. Factor 0 + u*f + 0*f**2 - 2\/9*f**3.\nAnswer: -2*f*(f - 1)*(f + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -l - 48. Let s be (20\/3 + 0)*(-39)\/(-26). Suppose s = -m + l. Solve 0 = -0*g - m*g + 2 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -404*d**2 + 400*d + 3. Calculate v(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*q - q + 3*q)*(-2*q + 3*q - 2*q)*(-2856*q**2 - 512 + 2859*q**2 + 2*q - 693).\nAnswer: 6*q**4 + 4*q**3 - 2410*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 204 (base 6) to base 5\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10.87 + 10.87. Let z = -8.7 - -8.8. Let f = -1.99 - 0.01. Which is the nearest to z? (a) n (b) f (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (8 - (-7 + 10)) + -5. Sort -7, r, 10.\nAnswer: -7, r, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -3*g. Let p(j) = -4 - 2 + 4*j + 5. Let t(y) = y**2 + 3*y - 2. Let v be t(-4). Let k(z) = v*p(z) + 3*x(z). What is the first derivative of k(o) wrt o?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 5*n + 20. Let m(p) = 3*p + 13. Let f(r) = -8*m(r) + 5*t(r). Let l be f(4). Is -1 smaller than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dz when two letters picked without replacement from {j: 3, p: 3, d: 3, z: 3}?\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes before 3:23 AM?\nAnswer: 7:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 478780 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - -7) + -8 + (-2 + -3 - -1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**3 - 5*m**2 + 9*m - 2. Let t(z) = 2*z**3 - 10*z**2 + 17*z - 3. Let c(p) = 3*t(p) - 5*y(p). Calculate the remainder when c(7) is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 11*y + 12. Let m(f) = 2*f + 2. Let n = 60 - 94. Let q(v) = n*m(v) + 6*p(v). What is q(6)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14264258 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: What is -33.248 minus 51361.815?\nAnswer: -51395.063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 79, 41, -27, -131, -277, -471?\n\"Answer: -v**3 - 9*v**2 - 4*v + 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 810 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1784*l + 2219*l + 3170*l = 21630 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 4*k - 5 = 2*k, 13 = -3*i + 5*k for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -830 + (-6)\/24*4\/1. Let j = o - -1238. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 26*v**2 + 61*v + 60*v + 57*v + 120*v - 298*v. Let b(d) be the third derivative of -d**5\/60 - d**2. Calculate t(b(y)).\nAnswer: 26*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Do -1\/7601 and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 21 and 59237493.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 354 and 23181926?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**3 + l**2 - l. Let t(n) = -9*n + 3. Let x be t(1). Let q(k) = k**3 + 2*k**2 - k. Let b(m) = x*i(m) + 5*q(m). What are the prime factors of b(3)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {v: 1, h: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -19918 - -19914. Which is the nearest to -3\/2? (a) 2 (b) g (c) -3\/10 (d) 2\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -1782*l + 43233. Calculate g(24).\nAnswer: 465","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 740107640 to the power of 1\/5, to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1200 and 240.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -12.005 to 0 decimal places.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the third derivative of -3*s**4\/8 - 23*s**2. Suppose 0 = 4*k - 5*x - 11, -5*x - 3 = -5*k + 7. What is the units digit of t(k)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 453092\/35 or 12945?\nAnswer: 12945","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-120)\/1)\/8*(-2)\/(-6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**3 + 7*w**2 + 2*w. Let n be d(-6). Let l = n + -11. Calculate the remainder when 37 is divided by l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 5*z, 10035*z + 676 = -42*f + 10033*z for f.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 4*n = -s - 37, 2 = -2*s + 4*n. Suppose -o + s = 2*u, -22 = 2*o - 5*o - 5*u. Is o a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -78 + -103. Let x = v - -182. Solve -x + 3 = -w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12 - 7. Let l = y + -1. What is the smallest common multiple of l and 1*3\/(-3) + -7 + 32?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - (-1 - 37)) + (-59 - -12 - -45)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -84858640 rounded to the nearest 100000?\nAnswer: -84900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*z + 33 = -5*z, 4*z - 43 = 3*p - 4*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 3*j**2 + 2*j - 13. Calculate g(-5).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 1001 = -k + 1089, 4190 = 2*k - 4*d. Suppose k = 16*c - 855. Is c a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.1 and 722827317.0739.\nAnswer: 722827316.9739","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -147*s + 74178 = 172*s - 293*s. What is the thousands digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7617726502.\nAnswer: 2, 4943, 770557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 - -4. Let v be (13 - (-3740)\/(-280))\/((-20)\/(-16)). Let y = 0.4 - 4.4. What is the closest to a in 2\/5, y, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*u - 4*k + 36 = 0, -6 = u + 5*k + 6*k - 12*k for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 527 and 33660?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:27 PM and 3:58 PM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the first derivative of -80*u - 92 + 0*u**3 + 6\/5*u**5 - 5\/4*u**4 + 0*u**2. Differentiate r(n) wrt n.\nAnswer: 24*n**3 - 15*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*m + 3294 = -8*m. Suppose 5*o = 137 - m. Calculate the greatest common divisor of 2 and o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -3*q, 3*q - 5 = -h + 7*q. Let o be (-10)\/(h*4\/(-685200)). Round o to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -22*o - 174. Let m be k(-12). Suppose 4*t - m = -5*t. Solve -2*x - t + 18 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1879*l - 1870*l + 2*l**2 - l**2 - 6*l**2 + 3749*l.\nAnswer: -5*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (66\/(-15))\/(2\/10). Suppose -2*y + 5*y - 207 = 0. Let m = y + v. What is the tens digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 5, e: 2, i: 4, f: 4, c: 4, d: 1}. Give prob of sequence edie.\nAnswer: 1\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1, 2380, 1\/11, 4 in decreasing order.\nAnswer: 2380, 4, 1, 1\/11, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39*(-39)\/(-13689)*9.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 7*u**4 - 9*u**3 - 46*u**2 - 52*u - 32. Let z(p) = p**4 - 2*p**2 - p - 1. Let o(j) = -5*m(j) + 40*z(j). Let o(q) = 0. Calculate q.\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*x = 40*x - 40. Suppose -b + 22 + 2 = 0. What is the highest common factor of b and x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u = 4*b - 4, 77*u - 4*b + 28 = 81*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 79 + 1134?\nAnswer: 1213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 38 - 68. Let s be -17124 + -1 - (5 + -3). Is (-4)\/i + s\/(-135) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express r + 3*r**2 - 2*r**2 - 19 + r**3 + 2*r**4 + 5*r**3 + 21 in the form v*r**2 + s*r + j*r**4 + o + d*r**3 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is (-515)\/(-9) + 3 + 2\/(-9) a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-33)\/(3960\/(-96)) - (141\/(-105) - -2).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 935578, 3, -1 in decreasing order.\nAnswer: 935578, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 4*n + 3. Suppose w + 5*t - 4 = 0, 0 = w - t - 16. Determine b(w).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -299 divided by -12561.\nAnswer: 299\/12561","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hvfb when four letters picked without replacement from vtxfhbxth?\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the third derivative of -f**8\/84 + 2*f**7\/35 - f**6\/30 - f**5\/5 + f**4\/3 + 77*f**2 - f. Solve q(h) = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38091617 is divided by 1645.\nAnswer: 1642","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of -738679 and 0.1.\nAnswer: -73867.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -668 - -670. What is the remainder when 12 is divided by r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/(-6) + (-12)\/18. Let q(j) be the first derivative of j**4\/4 - j**2\/2 + 3*j + 39. Let w be q(k). Solve w = -2*d + d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -19*i**2*u**2 - 352*i**2*u - 2*i**2 + 160686*i*u**4 + i*u - 234*i - 2 wrt u.\nAnswer: -38*i**2 + 1928232*i*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2634717?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -722*d**3\/21 + 76*d**2\/21 + 696*d\/7 + 432\/7.\nAnswer: -2*(d - 2)*(19*d + 18)**2\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 k when two letters picked without replacement from mmmbdkkkgkkkkkkkgkkk.\nAnswer: 13\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*f + 1498 = -333 - 1829. What is the remainder when 2560 is divided by f?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes before 10:56 AM?\nAnswer: 8:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 833 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 + 2. Suppose -4*o + 0*o = l*c - 8, -4*c = o - 2. Factor 2\/3*t**3 + 0*t + c - 2\/3*t**2.\nAnswer: 2*t**2*(t - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -70.915 - 0.085. Let v = -72.43 - r. Let j = v + -0.47. What is j rounded to 0 dps?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/14)\/((-1044)\/16240)*-12.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 2\/21*q**2 - 2\/21*q**3 + 0*q.\nAnswer: -2*q**2*(q + 1)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23431647 a multiple of 1223?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 30\/5*4\/6. Let a(h) = 3*h + 3*h**3 - 3*h**3 - 3*h**3 + g*h**3 - 9 - 5*h**2. Is 13 a factor of a(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -28*j + 29*j. Let t(x) be the first derivative of 1 + j*x - 2\/3*x**3 + 1\/2*x**2. What is the second derivative of t(v) wrt v?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 6949 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + 4*l = -1, 5*x - 40 = 6650*l - 6638*l + 23 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 5*q**2 - 73*q + 225. Is f(-29) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(-1\/2))**0\/((r\/(r**(-3)*r))\/(r\/r**(-1\/2))) assuming r is positive.\nAnswer: r**(-3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 103691 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1817\/152 + -296\/19. Let h = 991967\/37 + -26801. Let t = 4903\/222 - h. Calculate the common denominator of t and q.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 5*l + 3. Let h be f(-2). Let c be (0 - 0)\/3 + h. Let t = c + 15. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -121995, -975959, -3293863, -7807677, -15249371, -26350915, -41844279, -62461433?\nAnswer: -88934347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 12 = -9. Suppose -3*b = -0*b - 63. What is the highest common divisor of t and b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**2 - 3*z + 9. Let s be t(-7). Let g = 2 - s. What is the greatest common divisor of g and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 6 + 1)*(-2*b**4 - 3*b**4 + 6*b**4) - 9*b**4 - 6*b**4 - 8*b**4.\nAnswer: -26*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3*r**2 + 2)*(r + 2*r + r).\nAnswer: -12*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiicixiiiiixiiix. What is prob of sequence icx?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/(-27) - (-286)\/9. Let r(u) = -g + 32 + 2*u. What is the units digit of r(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 106516 - 71?\nAnswer: 106445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 8 = 7. Let a be -3 + -3 + m + 6. Let k be (-693)\/7*(-1)\/a. What is the greatest common factor of 3 and k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a day in minutes?\nAnswer: 7920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppcpvvp. Give prob of picking 3 p.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 2424.818+1884\nAnswer: 4308.818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -32 - (-21 - 4) - (-40 - (-2 - 0))?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (22 - m + 25 - 17)*(1 + 2 + 0) - 4*m + 0*m - 3*m to the form o*m + h and give h.\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10550459?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63 = -10*n + 2*g + 37, -115 = -3*n + 4*g for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(2\/43))**(30\/7)\/(y**(1\/19)\/(y**(-4\/15)\/y*y*y)))**(-32) assuming y is positive.\nAnswer: y**(-2415808\/85785)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7307?\nAnswer: 7307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*f + 5*f + 5*v + 35, -17 = -5*f - v. Let x = 0.4 + 2.6. Which is the biggest value? (a) x (b) 3\/2 (c) f (d) -0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(3\/2)*o*(o\/o**(-16))\/o assuming o is positive.\nAnswer: o**(37\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2587 = -0*n + 62*n - 1347 for n.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2304 and 2435562.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 225, 222, 219?\n\"Answer: -3*s + 228","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:57 PM and 9:08 PM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 62335 times -0.15\nAnswer: -9350.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -9*l**2 - 3. Let p(m) = -10*m**2 - 4. Let g(w) = 32*w + 164. Let k be g(-5). Calculate k*p(h) - 5*r(h).\nAnswer: 5*h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*s**2 + 5*s**2 - 66*s**4 + s - 85*s**4 + (s**4 + 4*s**4 - 6*s**4)*(1 + 0 + 0).\nAnswer: -152*s**4 + 2*s**2 + s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the third derivative of -i**6\/20 - i**5\/60 + i**4\/24 - i**3\/6 - 3*i**2. Give t(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -40, 714, 1972, 3734?\n\"Answer: 252*o**2 - 2*o - 290","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -303.27 and 1929937082?\nAnswer: 1929937385.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*m + 16*m - 76. Calculate the remainder when 92 is divided by m.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1702 - 850 + 42058*h**3 - 852.\nAnswer: 42058*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 5*x**2 + 8*x + 8. Let h be a(-1). Suppose f - 2*b = 362, 1435 = 5*f - f + h*b. What is the tens digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4700, -21522, -50458, -91508, -144672?\nAnswer: -209950","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 0 + 3 - 2. Let i(f) = 2*f**2 - 9. Suppose 11*v - 44 = 66. Let m be -6 + (26 - v) + -12. Calculate m*i(t) - 18*c(t).\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1296968381 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence no when two letters picked without replacement from tnktnitioonn.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 198686559*z + 281006023?\nAnswer: 198686559","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -218, -828, -1780, -3020, -4494, -6148, -7928?\nAnswer: -9780","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 50.53 rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1495*q**2 - 1534*q**2 - 3*q - 13*q wrt q.\nAnswer: -78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(52)*1*4 + -1)**2 - 5*(sqrt(325) - (-1 + sqrt(325)))*5.\nAnswer: -16*sqrt(13) + 808","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, n: 2, t: 1}. Give prob of sequence nt.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 3576710 divided by -1\nAnswer: -3576710","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3004140 is divided by 1382.\nAnswer: 1054","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.3, -10, 5, -2, -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*(j\/(j**1*j*j))\/j)\/j)**(3\/26)*((j\/j**(2\/11))\/j)\/((j\/(j**(-2\/5)\/j))\/j))**(-11) assuming j is positive.\nAnswer: j**(2757\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + 836\/(-120) + (-2)\/10.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1 (b) -553 (c) -2\/55 (d) -4\/7 (e) -2\/15 (f) -0.4 (g) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 277*w**3 - 1086*w**3 + 259*w**3 + 279*w**3 + 272*w**3.\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 - 37 = 5*k + 2*u, -3*k - u - 13 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31 = -4*u + 3*a, -79*a = 2*u - 83*a + 8 for u.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the first derivative of n**6\/360 + n**5\/120 - 4*n**4\/3 + 28*n**3\/3 + 11. Let k(y) be the third derivative of r(y). Determine k(0).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 145405.5 months to decades.\nAnswer: 1211.7125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 288\/10 + (-28)\/35. Suppose 79 = 5*u + 4*l, -3*u + f + 13 = 4*l. Let j = 63 - u. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 261, 270, 277, 282, 285, 286, 285?\nAnswer: 282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 2*i, 12625*w - 84 = 12621*w - 3*i for w.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 111\/44710 and 46\/289.\nAnswer: 760070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 9*d**2 - 15*d + 1. Let w be n(5). Suppose -37 = 3*k - w. Is k a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 2*k. Let d(z) = 9*z + 44. Let c(y) = 4*y + 22. Let o(v) = 5*c(v) - 2*d(v). Let g be o(k). Solve 3*n + 5*s + 28 = 0, 4*n - n - 5*s = g for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1037 and 1647.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (-4*(sqrt(175) + -1 + sqrt(175)) + 2*sqrt(175)*-1 - (-1 + (sqrt(84)*-1)\/sqrt(12)*-2)))**2.\nAnswer: -1040*sqrt(7) + 19028","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the first derivative of 2*u**3\/3 + u**2 - u + 1. Suppose -5*l = -0 + 20. Calculate p(l).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*y + 3*y**3 + 5*y)*(-2*y - 2*y + 6*y) to h*y**2 + n + t*y**4 + m*y + a*y**3 and give t.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 + 3 - (175 + -127)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:49 AM and 2:39 PM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12640 + 19371. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = 2*f - 24, -13*f + 3 = 5*k - 15*f. Suppose -5*m = 2*j - 6, -5*m - 2*j + j + 3 = 0. Suppose 0 = -m*y + 4*y - 80. Solve -x - y = k*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5335\/3 - -1779. Sort -2\/11, 12, 1\/27, u in ascending order.\nAnswer: -2\/11, 1\/27, u, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*96417084.\nAnswer: 578502504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7343\/2 - 3673. What is the nearest to 4 in m, -3, -4\/3, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-84)\/24*-2 - 10)*-2153*1. Round v to the nearest 100.\nAnswer: 6500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -2 - -255*1120\/143850.\nAnswer: -2\/137","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4618086, 4618102, 4618118, 4618140, 4618174?\nAnswer: 4618226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*j - j + j)*(-4 + 4 + 2) - 10 + 25*j + 3 + 3)*(2*j + j + j) + j**2 + 0*j**2 - 3*j**2.\nAnswer: 114*j**2 - 16*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*y - 3*y - y)*(163 - 60*y - 163)*(-5 - y + 3 + 2*y)*(-4*y + y + y) to the form l*y**4 + d*y + m*y**2 + c + g*y**3 and give g.\nAnswer: 480","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 15*a**2 + 2*a - 2. Let n be o(1). Let r be (-10)\/n*(-1 - -4)\/(-1). Solve m + 0*m + 11 = r*h, 0 = 5*h - 25 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a century in months?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -6*(sqrt(7) + 1) + -5.\nAnswer: -6*sqrt(7) - 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 22 + -24 + 40 - (46 + -28)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 75 + -73. Let z(v) = 5*v**3 - 2*v**2 + 2*v. Let n be z(w). Suppose -n*q - 37 = -37*q. What are the prime factors of q?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u + 237 = 10*u - 5*o, -4*o + 12 = 0. Solve -78 = 5*y - u for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*t**2 - 10*t**2 + 3*t**2 - 5*t - 2*t**2 as g + x*t**2 + w*t and give x.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the first derivative of 288*q**5\/35 + 84*q**4 + 4994*q**3\/21 + 56*q**2 + 32*q\/7 - 48. What is h in d(h) = 0?\nAnswer: -4, -1\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1791 + -1199. What is the remainder when h is divided by 54?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 35519352*t**6 - 2*t**4 + t**3 + 247*t**2 - 24070*t - 4 wrt t?\nAnswer: 4262322240*t**3 - 48*t + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (14 - 14 - 13*i)*(-1041 + 1041 + 1563*i**3) to b*i + k*i**3 + s*i**4 + u*i**2 + w and give s.\nAnswer: -20319","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - (1 - 0)) + -1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2*2\/(8\/(-6)). Suppose -l*j = -2*j - 2. Let i be 6 + 1 - (1 - 0). Solve -5*v + j*u + i = -9, -5*u = 3*v - 9 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**2 + 5*i + 2. Let s be 3 - (-45)\/(-5 + 0). Let x be c(s). Suppose x - 12 - 9*f**2 + 1 - 3*f**3 - 9*f = 0. What is f?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001011111 + 10?\nAnswer: 1001100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*b - b + 24*b**2 - 2*b to w*b + r*b**2 + l and give r.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 8*t + 11*t + 8*t + (0 + 0 - 4*t)*(4 + 1 - 3))*(0*t + 0*t - 3*t**2).\nAnswer: -57*t**3 + 3*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 755745 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -25*t + 2431. Determine a(75).\nAnswer: 556","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the third derivative of -7*l**5\/180 + 5*l**4\/36 + 11*l**3\/6 - 8523*l**2. Factor q(r).\nAnswer: -(r - 3)*(7*r + 11)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the third derivative of -p**5\/30 + 47*p**2. Let d(x) = -647*x. Determine d(c(y)).\nAnswer: 1294*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -18322 + 21100. What are the prime factors of v?\nAnswer: 2, 3, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4515*a**2 - 4515*a**2 + 4*a**3.\nAnswer: 4*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 116 + -32. Let g be l\/9 + 6\/9. What is the tens digit of (-15)\/g + (-99)\/(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1265438604?\nAnswer: 2, 3, 2029, 51973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 2*y - 5. Let s(t) = -286*t - 6. Determine -s(f) + 5*x(f).\nAnswer: 296*f - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -w - 8, 0*w - 4*n + 4 = 5*w. What is the greatest common factor of 12 and w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence auza when four letters picked without replacement from {c: 3, p: 7, a: 2, z: 7, u: 1}?\nAnswer: 7\/58140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33.76464 milligrams to tonnes.\nAnswer: 0.00000003376464","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add -48573797 and 9543633.\nAnswer: -39030164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*x**4 - 28*x + 2*x**3 - 4*x**3 + 62 + 27*x - 23 as d*x**3 + g + p*x**2 + a*x + j*x**4 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 61 + -1. Suppose -d + x = 3*d. What is the greatest common factor of d and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1728*u**4 - 861*u**2 - u?\nAnswer: -41472*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 1328?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:13 AM and 10:41 PM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/(-15))\/((-153)\/765)?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0016502 rounded to four decimal places?\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 11.427 and -0.482?\nAnswer: 11.909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -10605, -10603, -10601, -10599, -10597?\n\"Answer: 2*x - 10607","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/21 in 0, 3, -3, -1\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -4*t**2. Let p(r) = 21*r**2 + 6*r + 2. Let m(l) = -p(l) - 5*u(l). Let k(s) = 2*s - 4. Let h be k(0). Determine m(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**3\/12 + 49*b**2\/12 - 17497*b\/12 + 86135\/12.\nAnswer: (b - 107)*(b - 5)*(b + 161)\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -127\/112746 and 61\/463266.\nAnswer: 378488322","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -28 + 251071465298\nAnswer: 251071465270","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.4 (b) 27 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -0.2, -82, 17, 0.09, -1?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14542*n**3 + 14536*n**3 + 67*n**2 - 13*n**2 + 120*n**2 - 4 + 4.\nAnswer: -6*n**3 + 174*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -155 + 7562*d**2 - 126 + 281.\nAnswer: 7562*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1314*q**3 - 659*q**3 + 8*q - 660*q**3 + 5*q**4 + (4*q - 2*q + 2*q)*(q**3 + 0*q**3 + 0*q**3).\nAnswer: 9*q**4 - 5*q**3 + 8*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 12 = -0. Put -2, -1, s in decreasing order.\nAnswer: s, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((5\/(-10))\/((-15)\/10))\/(9\/(-6)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (6*(-1)\/((-8)\/32*-44))\/(-9)?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1031312 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 - 6. Let p = -9 - b. Is 51 - 6\/9*p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**2\/2 + 62043*a\/2 + 619830.\nAnswer: 3*(a + 20)*(a + 20661)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1.5 * 29034.7\nAnswer: 43552.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*u - 4*g - 4, 8*u = 5*u + 3*g - 15 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 2*k. Let d(p) = -2*p**2 + 8*p**2 - 5*p**2 - 12*p**2. Calculate s(d(h)).\nAnswer: -22*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3439, -6658, -9891, -13144, -16423, -19734, -23083?\nAnswer: -26476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 5 = -5*c, 3*m - 2*c = 2*c + 25. Suppose 5*k - m = -t, -2*k = -t - 3*k + 3. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (11 - 6) + -2 + 629. Let m = -308 + g. What are the prime factors of m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.789 less than 274?\nAnswer: 273.211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 70*w - 596 - 10394. Solve w*j + 48 = 145*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes after 1:53 PM?\nAnswer: 7:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28185, -56370, -84555?\nAnswer: -112740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, n: 2, w: 1, a: 2, l: 1}. Give prob of picking 1 a, 1 n, and 1 s.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -311033 - -131?\nAnswer: -310302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 106519, 426090, 958711, 1704376, 2663079?\nAnswer: 3834814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**3 + 8*k**2 + 4*k - 7. Let g be 5*(1 - 2)\/1. Let n be b(g). Suppose -n = c - 5*c. Calculate the remainder when c is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 131812, 527241, 1186290, 2108959?\nAnswer: 3295248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-49 + (5 - 1) + (-1 - 4))*1774. Round a to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-29)*n**(-18))\/(n\/(n\/(n\/n**(-2\/9))*n))**(17\/4) assuming n is positive.\nAnswer: n**(-863\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 12646.7 to the nearest one thousand.\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b. Let g be (-16)\/(-6)*6\/(-4). Let r(i) = -i. Let p(l) = g*w(l) + 5*r(l). Let u(h) = 13*h + 10*h + 6*h**2 - 23*h - h**2. What is p(u(v))?\nAnswer: -5*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 5 = -20. Let x = l - -8. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v - 29 = 5*u + 61, -20*v - 1953 = -5*u + 2*v - 1881 for u.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the third derivative of g**6\/240 - 11*g**5\/120 - 7*g**4\/24 + 2*g**3 - g**2 - 19*g. Factor d(p).\nAnswer: (p - 12)*(p - 1)*(p + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 7 + 3, 3*i = -5*h. Let m be (0\/3)\/(1 + 1). Let t = -8 - -14. Solve m = -h*s + t*s + 6 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 542 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, c: 2}. Give prob of picking 3 x and 1 c.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15636 is divided by 3120.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-8)\/m*(m*m**(-1\/6)*m)\/m*(m**(-1))**(27\/5))\/(((m*(m**0\/m*m)\/m*m)\/m)**3)**(-45) assuming m is positive.\nAnswer: m**(-407\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(190)\/((sqrt(160) + sqrt(10))*1).\nAnswer: sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 273557808 is divided by 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**3 + 2*g**2 + 5*g - 2. Let c = 12 - 9. Let o be y(c). Suppose 0 = -l + o, 0 = 3*s + 2*l - 56. What is the greatest common divisor of s and 112?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 79004048 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 638 at least as big as 636?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3628242 + 1?\nAnswer: -3628241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 44 - 1133342?\nAnswer: -1133254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -94*h**3 - 96.\nAnswer: -282*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a century in years?\nAnswer: 1350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/66*96\/80.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand m**2 + 2 - 2 + (-3 + 0 + 5)*(-6*m**2 + 3*m**2 + 2*m**2).\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18395 is divided by 27.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 579, 571, 563, 555, 547, 539?\nAnswer: 531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 85 + -85. Suppose c*d + 9910 = 10*d. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**3 + 8*d**2 + 2*d - 9. Let p be g(9). Let o = 87 + p. Is 13 smaller than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbcytbnbcnnbnn. What is prob of picking 1 n and 1 y?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 349301 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-1\/4)*y)**45)**(-28)*(y\/(y*y**(-2\/5)))**38\/((y\/(y**(1\/2)*y*y))\/(y*y**(2\/5))) assuming y is positive.\nAnswer: y**(-9269\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 220 - 209. Let x be 1\/4 + 22\/8. Determine j, given that -23*j**2 + 12*j**5 + 20*j**4 + 10*j**3 + 3*j**2 - 3*j**x - q*j**3 - 8*j = 0.\nAnswer: -1, -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -15*v. Let x(a) = -4*a + 2828. What is n(x(q))?\nAnswer: 60*q - 42420","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:42 AM and 11:47 AM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the first derivative of 2*b**3\/3 + 7*b**2\/2 - 2*b - 2. Let t(k) = -k + 4. Let c be t(-5). Suppose 2*p + 1 + c = 0. What is y(p)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -6596, -6597, -6598?\n\"Answer: -s - 6595","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 1038\/11 (b) 0.4 (c) 18\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 128*a*l + a + 9 wrt l?\nAnswer: 128*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the second derivative of -123*n**5\/20 + 39*n**3\/2 + n - 36. Find the second derivative of v(c) wrt c.\nAnswer: -738*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1858, -3716, -5574, -7432?\n\"Answer: -1858*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 400 and 88.\nAnswer: 4400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.0443 at least as big as -23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(198)*6 + sqrt(198))\/sqrt(9))\/sqrt(11).\nAnswer: 7*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 44 - 11 = 3*f, -2*s + 9 = -f. Let h be (2\/(-5))\/(s\/(-30)). Factor h*d**2 + 7 + 0*d + 2*d - 7.\nAnswer: 2*d*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/((-1)\/4 - (-2450)\/9576). What is the greatest common factor of 19 and z?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**3 - 11*u**2 + u + 16. Let k be t(-11). Is (-11262)\/(-15) - 2 - (-1)\/k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:27 PM and 9:44 AM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*n**3 + 2*n**3 + 4*n**2 + 2*n**3 - 2*n**3 = 0 for n.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a + 18. Let f be y(15). Suppose -4*g = -f*g - 13. Suppose 3*p - 2*t = 26, 4*p + 3*t + 1 - g = 0. Is 2 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3ee1 (base 15) in base 2?\nAnswer: 11010010101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(320)*4 + sqrt(320) + 5 + sqrt(320)*-1*-1 + -1)**2*1 + -3.\nAnswer: -96*sqrt(5) + 11518","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 714 = 709, -p + 3*x - 5 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 41955, 11, -2, -5 in ascending order.\nAnswer: -5, -2, 11, 41955","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) 3 (c) -4 (d) 7 (e) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 966\/230 + 1792\/(-385).\nAnswer: -5\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 7}. What is prob of sequence qqq?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-6 + 6 - -3)\/(-1)*-1787?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1211*n + 2425*n + 495 - 495 + 8385*n to p + k*n and give k.\nAnswer: 9599","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 763809, 763775, 763719, 763641?\n\"Answer: -11*d**2 - d + 763821","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(405)*-1)**2*1 + sqrt(405).\nAnswer: 9*sqrt(5) + 405","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-6) - (-7)\/3. Suppose j*m = 2 + 2. Suppose m*n + 38 - 5 = 3*y, 4*n - 6 = -2*y. Is 7 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 540 and 228630.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**2 - 11*y + 6. Let p be g(10). Let x = p + -1. Let c be (3\/x)\/((-7)\/35). Solve 5*h - 2*l + 7 = 0, -2*h + 5*l - c = -4*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -199*t - 79. Let a be d(-3). Let h = -516 + a. Solve h*u - u = -7*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -264 = -1444*w + 1422*w for w.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11 + 19. Let p = -4 + a. Let r(d) = -11*d**2 - 94*d - 147. Let q be r(-2). Put q, p, -4 in decreasing order.\nAnswer: p, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 8*y. Let c(d) = -d + 2. Let x(j) = 3. Let w(p) = 3*c(p) - 2*x(p). Give o(w(k)).\nAnswer: -24*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 40, 1, 2, 6, 7, 0 in ascending order.\nAnswer: 0, 1, 2, 6, 7, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 261133 and 14843596.\nAnswer: 1171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 19*h**2 + 4*h + 6. Let r(x) = -21*x**2 - 5*x - 7. Let a(d) = 5*o(d) + 4*r(d). Let q(y) = -2*y**2. Calculate a(q(z)).\nAnswer: 44*z**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-135)\/54*8\/(-10). List the prime factors of 55*(g + ((-15)\/(-3))\/(-5)).\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 3 - 1)*(-4*u - u + 3*u) + (-u + 2*u + u)*(-1 + 3 - 4 + (3 + 2 - 3)*(1 - 2 + 3) + 2 - 1 + 0 - 6 + 2 + 3) in the form g + c*u and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13078?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the first derivative of 0*b**2 + 0*b + 100 + 1\/4*b**4 + 85\/3*b**3 - 47\/5*b**5. What is the third derivative of h(q) wrt q?\nAnswer: -1128*q + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/2 or 0.501?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, j: 2, t: 1, x: 1, m: 2, k: 4}. Give prob of sequence jk.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 189 + -123. Suppose 0 = -2*o - 2*o - 2*g + h, o - 12 = -5*g. Let k = -21 + o. Is -2 less than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1131463 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*g + 116*g + 30*g = -252 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15 - -10. Suppose 6 = 4*f + 2*w, 13 = -2*f + 3*w + 28. Which is the third smallest value? (a) m (b) -0.5 (c) 0 (d) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -113*x + 20 = -117*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(380)*-2)\/sqrt(10) + sqrt(38))\/(sqrt(8)\/(sqrt(4)*-1)) - (-2 + -3 + sqrt(931) + 0 + sqrt(931) + sqrt(931)).\nAnswer: -20*sqrt(19) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24 + (2 - -30) - 4\/1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1374\/133 + 218\/19. Determine k so that 6\/7*k**2 - 8\/7*k - j - 2\/7*k**4 + 4\/7*k**3 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 - 3. Let l = x + 11. Suppose l*c - 2*c + 32 = 0. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -14 and 0.1277.\nAnswer: -1.7878","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9300 + -18599\/2. Let m = 1 + -2. Sort m, 3\/8, o, -4 in decreasing order.\nAnswer: o, 3\/8, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -2*z**2 - 105*z - 1347. Let k be c(-30). Factor 87\/7*t + 102\/7*t**k + 3\/7*t**5 + 33\/7*t**4 + 3 + 138\/7*t**2.\nAnswer: 3*(t + 1)**4*(t + 7)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 181*k**3 - 28*k**2 - 2*k + 80578 with respect to k.\nAnswer: 543*k**2 - 56*k - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 8 + 2 = 0. Let l(r) = -4*r**3 + r + 1. Let d(f) be the second derivative of -f**5\/20 + f**3\/6 + f**2\/2 - 22*f. Calculate p*l(u) + 2*d(u).\nAnswer: 6*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*f**3 + 10*f**3 + 3*f**3 + 15*f**3.\nAnswer: 32*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s = -3*s - 1680000. Let l be (-3 + 3)\/(-2) - s. What is l rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 - (5 - (-32 - (29 - 54)))?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 4*k - 1. Let d be (-9)\/45 + (-28)\/10. Let m(u) = -4*u + 1. Let a(j) = d*m(j) - 2*v(j). Calculate a(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l + 7. Let p(o) = o - 1. Give -4*f(m) - 28*p(m).\nAnswer: -32*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14536188 is divided by 2907236?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 minus 6.25721449103?\nAnswer: -10.25721449103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 226.65444 months in millennia?\nAnswer: 0.01888787","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 787 = -3*m + 5821, -25 = -5*m. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3155151828 to the power of 1\/2, to the nearest integer?\nAnswer: 56171","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 154 + 2*m + 152 - 306.\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + -8 + -1 + 22 + -75?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 2540698*m. Let q(n) = -140*n. What is q(h(x))?\nAnswer: -355697720*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -2*k + 4. Suppose 577*a - 140 = 1139*a - 590*a. Solve -a*x + k = -x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 488.21 and -15637.\nAnswer: -7634139.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 2*b + 1. Let g(m) = -4*m - 2. Let y(u) = -4*g(u) - 7*n(u). Let k be y(1). Solve 5*o - 12 = k*d, -3*d + 4*o = 3 + 6 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1683*x**5 + 5*x**4 - 3*x**3 - 4*x**2 - 20004*x?\nAnswer: -100980*x**2 + 120*x - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83*l + 288 = -35*l + 48*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 5 + l - 5. Let h = 7576 - 5385. Let a(i) = -4375 - 4*i + h + i + 2184. Determine s(a(o)).\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes before 9:22 AM?\nAnswer: 11:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -57765819*t**5 + 67125102*t wrt t?\nAnswer: -1155316380*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 52*a**2 - 24*a - 49*a**2 - 49*a**2 + 151*a**2 + a**3 as o*a + g + c*a**2 + h*a**3 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6692 - 3584. Suppose 2*j - 2*k = w, 4*k - 8 = 6*k. List the prime factors of j.\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 25221?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1447 or 1449?\nAnswer: 1449","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**2 - 8*z - 31. Calculate m(11).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2339865 is divided by 212712?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the second derivative of -1\/12*q**3 - 23*q + 0 + 0*q**2 - 1\/180*q**6 - 1\/24*q**5 - 7\/72*q**4. Determine y, given that u(y) = 0.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 28549222\/7 and 4078460 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 788 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the first derivative of 0*m + 0*m**5 + 2 + 0*m**3 + 7\/2*m**2 + 0*m**4 - 5\/6*m**6. Find the second derivative of x(h) wrt h.\nAnswer: -100*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3073857 to the power of 1\/4, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1042403, -4169606, -9381605, -16678394, -26059967, -37526318, -51077441, -66713330?\nAnswer: -84433979","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1077 or -1079?\nAnswer: -1077","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-9)\/11 + 1 - 2\/11. Let k(s) be the third derivative of 0 + p*s + 0*s**4 + 1\/60*s**5 + s**2 - 2\/3*s**3. Differentiate k(z) with respect to z.\nAnswer: 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = 5*f - 30, -4*w + 29 - 9 = 2*f. Suppose -j = w*j - 15. Suppose j*m + 2*m - 335 = 0. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2877143 to 1 dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4.15 + 0.15. What is the nearest to 1 in 1, -1, g?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 10) to base 15.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -241\/10 - -24. Let u be (-4 - 186\/(-60))\/(12\/5). Which is the closest to -0.1? (a) u (b) j (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*z + 3 = 12*z + j, 5*z - 19 = -4*j for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m**2 + m**2 + m**2)*(-m**2 - m**2 + m**2) - 2*m**4 + 47 - 47 - m**4 + 0*m**4 + 3*m**4.\nAnswer: m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes after 12:00 PM?\nAnswer: 10:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/4560864 and 115\/2376.\nAnswer: 41047776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 2 j when three letters picked without replacement from {j: 7, x: 5}.\nAnswer: 21\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/7 in -13, 3\/2, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 9780 divided by -5\nAnswer: -1956","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**16*j*j)\/(j*j**(-18\/5))*(j\/((j*j**(-2\/7)\/j)\/j))\/((j\/j**(-14))\/j) assuming j is positive.\nAnswer: j**(311\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*t**2\/3 + 1926752*t\/3 + 7706912 = 0. What is t?\nAnswer: -963364, -12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -97 - -187. Let u = a - 90. Put u, 1, 6, 0.2 in increasing order.\nAnswer: u, 0.2, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 - (0\/3 + -79). Calculate the greatest common factor of 8 and h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (46\/(-4))\/((-3)\/6). Suppose 24*m = w*m. Find the first derivative of -5 - 3 + 7*u + m*u wrt u.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 - 2. Let o(z) = -25*z + 54. Let s(r) = -33*r + 55. Let f(j) = 4*o(j) - 3*s(j). Calculate the remainder when f(22) is divided by y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105 = -p - 5*k, 4*p = 5*k - 86 - 259. Let c = -43 - p. Calculate the remainder when c is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -19966 to the nearest 10.\nAnswer: -19970","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16414?\nAnswer: 2, 29, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 1239?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.78, -7, 4, 0.03 in ascending order.\nAnswer: -7, 0.03, 0.78, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/13, 2, 3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 - 2)*1 + -4. Let z(b) = -16*b + 11. Let u be z(m). Let y = u + -23. Does 19 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/2*10*1. Let m = -2.7 - -3. Let j(d) = d - 5. Let r be j(8). Sort m, y, r in decreasing order.\nAnswer: r, m, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 4, k: 2, u: 2, c: 1}. What is prob of picking 1 c and 1 k?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*l = -345*l + 1553034. Is 6 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 143\/12 + -45\/4. Let o = 5.3 + -5.3. Which is the third smallest value? (a) i (b) 5\/4 (c) 0.2 (d) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -s + 13. Let q = s + 11. Is 35 - (0 + (q - -2)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a century in years?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w**5\/8 + 273*w**4\/8 - 4605*w**3\/8 + 3255*w**2\/8 + 4617*w\/2 - 4347\/2 = 0. Calculate w.\nAnswer: -2, 1, 2, 21, 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 - -4. Let i(f) = -f**3 - 32*f**2 - 252*f + 69. Let t be i(-16). Let p be (-2)\/5 - 134\/(-10). Solve 0 = w*b - t + p for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*c - 3 - 21 = -132 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5099?\nAnswer: 5099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**2 - 7*n - 10. Let d be a(-7). Let q be 26\/d + (1 - -2). Let i = 4 + 1. Put 0.1, i, q in increasing order.\nAnswer: 0.1, q, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 35 and 85?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2010)\/(-9) + 0 - 4\/12. Suppose 35*k + y - 2953 = 0. List the prime factors of k.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/18*6*-2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the first derivative of -1 + 0*c - 1\/5*c**5 - 7\/12*c**4 - 1\/6*c**2 - 5\/9*c**3. Factor v(t).\nAnswer: -t*(t + 1)**2*(3*t + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -12*c. Let j(q) be the first derivative of 3*q**2\/2 - 10. Give u(j(a)).\nAnswer: -36*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 6*o**2 - 4*o. Let q(d) = 7*d**2 - 5*d. Let r(w) = 4*q(w) - 5*t(w). Let m(z) = 109*z + 11*z**2 + 106*z - 314*z + 99*z. Determine m(r(x)).\nAnswer: 44*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*p\/(p*p\/(p*p**(-18)\/p)*p)*p*p\/p**(-4\/3) assuming p is positive.\nAnswer: p**(-47\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-15)\/(-4)*9 + 28\/(-16) + 2. Which is the smallest value? (a) 32 (b) q (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 2*f**2 + 12*f + 11. Calculate the remainder when m(-8) is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 13*n**3 - 6*n**3 - 9*n**3 + 2559*n - 2559*n - 255*n**3 - 4 + 4 + n**3 + (3*n - 2*n + n)*(2*n**2 - 4*n**2 + 4*n**2).\nAnswer: -252*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 4*i = 15, 5*f - f = -5*i + 24. Let t = 5 + f. Suppose -4*q + t*q = 0. Solve q = -0*l - l + 5 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 671030 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 148 = 5*h - 46, -16 = 4*a. Let v = -129 + 294. What is the remainder when v is divided by h?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 13951?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36831 is divided by 611.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -129*b - 134*b + 3945 = -0*b for b.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -2142*h - 30. Let a(c) = -5*c**2 - 12*c. Give i(a(j)).\nAnswer: 10710*j**2 + 25704*j - 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 2*f - n - 11, 5*n + 15 = 5*f. Suppose 312 + 415 = p - 5*d, -3*d - 2145 = -f*p. Let q = p + -2899\/4. What is the common denominator of -38 and q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21 + (45 - (7 - -21))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(-16)\/(-60) - (-82)\/(-123).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the third derivative of h**5\/15 + h**4\/3 - 2*h**3 + 9*h**2. Factor a(p).\nAnswer: 4*(p - 1)*(p + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-18)\/(j*j\/(j*j*j**(1\/10))) assuming j is positive.\nAnswer: j**(-179\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 559*k. Let o(c) = -2*c**2. Give a(o(p)).\nAnswer: -1118*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16776*l - 3 + l**2 + 3.\nAnswer: l**2 + 16776*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 2*10\/(-8)*-2\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the third derivative of 4\/3*j**3 + 0 - 5\/8*j**4 - 17*j**2 + 0*j. What is the derivative of n(u) wrt u?\nAnswer: -15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 33 + -12. Suppose 141 = 2*a + x. Let p be (72\/a)\/((-3)\/(-20)). Solve w + 17 = -0*w - 4*l, 0 = -w - l - p for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + a = c - 2, -5*a - 25 = 0. Let s = c + -2. Find the second derivative of s + 2 + 2*u - 3 + 3*u**5 wrt u.\nAnswer: 60*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 572.13075 - -3?\nAnswer: 575.13075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -4*n - 2. Let o(t) = -t**2 + t + 2. Let s be o(0). Suppose 0*x + s = -x. Give i(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i**5 - 8*i**5 + 4*i**5)*(1 - 3 + 0).\nAnswer: 12*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -47 + 50. Suppose -5*o + 2*f - 1798 + 92 = 0, -1008 = 3*o + 4*f. Let n = o - -5098\/15. What is the nearest to 2 in n, -3, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (2*(2 + sqrt(5)) - (-3 + sqrt(605))))**2 - ((sqrt(405) - (sqrt(405)*1 + sqrt(405))) + 3)*-2.\nAnswer: -180*sqrt(5) + 492","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/4 (b) 991 (c) 0.3 (d) 0.1 (e) 1\/3 (f) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 86*(-1)\/12*-6 is divided by 20.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d + 3 - 3*d - d**2 + 0*d - 4. Let l be y(-4). Let k(q) = -5*q + 33. Let b be k(7). Are l and b non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**2 + 2. Let v(w) = -3*w**2 - 5. Let f = 3 - 24. Let p be (-3)\/2*28\/f. Determine p*v(i) + 5*j(i).\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**3\/9 + 3260*i**2\/3 - 8704*i + 156736\/9.\nAnswer: 2*(i - 4)**2*(i + 4898)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*y = -26*y - 16240. Calculate the greatest common factor of y and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 30 and 168?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 107, 427, 1037, 2015, 3439, 5387, 7937, 11167?\nAnswer: 15155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*p - 58*p = 98*p + 880 for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + sqrt(98) + sqrt(98) + -2)*2 - ((sqrt(432) - sqrt(48))\/sqrt(4))\/(6*2*sqrt(6) - sqrt(6)))**2.\nAnswer: 3672*sqrt(2)\/11 + 191628\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 6925, 6922, 6921, 6922, 6925?\n\"Answer: f**2 - 6*f + 6930","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -15*l**2. Let p(q) be the third derivative of q**6\/90 + 55*q**4\/12 - 64*q**2. Let g(x) be the second derivative of p(x). Give g(z(d)).\nAnswer: -120*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes before 2:07 PM?\nAnswer: 10:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10971960 divided by -457165.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 0*u + u - 14 + 39. Let o(k) be the second derivative of k**3\/6 + 25*k**2 - 325*k + 2. Let j(b) = 5*h(b) - 3*o(b). Let q(i) = i. Determine q(j(m)).\nAnswer: 2*m - 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -53 + 52. Let x be q\/2*4\/(-6). Is x <= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.9 - -2. Let q = -0.22 + 0.22. Let g = h + q. What is the biggest value in g, 0.2, -2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 101231?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wvwkwwvjwkvwvvjqww. What is prob of sequence wq?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 31067819 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(((-19)\/114)\/((-1)\/10))?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 27\/(-72) - ((-884)\/(-288) - 3 - 0). Which is the biggest value? (a) h (b) -5 (c) -546\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1193316 a multiple of 277?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 220 - 2 - (-3 + (1 - -2)). Let u = -216 + n. Solve -4 = 3*s + 5*w, s + 3*s + u*w = 4 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -0.1 (b) -0.5 (c) 0.111\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 172 and 68?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -591 = -8*g + 449. Let q = 4 + g. What are the prime factors of q?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 n when two letters picked without replacement from {n: 2, g: 2}?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(85) + sqrt(85) + (sqrt(85) - (sqrt(85) + sqrt(85) + 2*sqrt(85)*-5)))\/((sqrt(300)\/sqrt(5))\/sqrt(12)).\nAnswer: 11*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 23\/65 - 82\/533\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3.32 + 4.8. Let m = u - 1.3. Let r = 0.1800005 - m. What is r rounded to seven dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8145487 to the power of 1\/2, to the nearest integer?\nAnswer: 2854","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 242*z - 135*z - 1264011 = 2151964. What are the prime factors of z?\nAnswer: 5, 1277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1005222 - -142?\nAnswer: -1005040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-47)\/(-52) + 306\/39 + -8. Let g be 2\/(-9) - (0 + 0). Sort -4\/5, g, k in increasing order.\nAnswer: -4\/5, g, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**2 - 5*b + 6. Let u(h) = h**2 + 5*h - 6. Let o(f) = -2*d(f) - 3*u(f). Let p be (-1)\/(-2) + (-33)\/6. Calculate o(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 496 is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*j**2 - 32835*j - 131420.\nAnswer: 5*(j - 6571)*(j + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 111268 is divided by 4635?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -54, -282 in increasing order.\nAnswer: -282, -54, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + -6*((sqrt(2299) + 1)*-2 + sqrt(2299) + (5 + 2*sqrt(2299) - sqrt(2299)))*-2)*1)**2 + 2.\nAnswer: 1683","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003144 rounded to four dps?\nAnswer: -0.0031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + c = 22, 0 = -k - k - 3*c + 14. Let v = -11113 + 11189. Calculate the greatest common divisor of v and k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 948080530 to the power of 1\/7, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-183)\/(-12) + 80\/(-64).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 63.8088 + -0.0088. Let u = 64 - y. What is the nearest to 0 in 2\/7, u, -2\/3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 12*t**3 - 3*t**2 - 4*t. Let r(w) = -4*w**3 + w**2 + w. Calculate 2*f(y) + 7*r(y).\nAnswer: -4*y**3 + y**2 - y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 22439 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14843.57 weeks to nanoseconds.\nAnswer: 8977391136000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.51+-479.6\nAnswer: -480.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 5*m - 34 = 18, 0 = 3*f + m - 58. Solve -f*p - 15 = -16*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11.8 - 6.6. Let s = n - 5. What is the third smallest value in s, -1\/2, -1.6?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the first derivative of -y**6\/11 + 14*y**5\/55 + 31*y**4\/22 - 94*y**3\/33 + 12*y**2\/11 + 525. Solve b(l) = 0.\nAnswer: -3, 0, 1\/3, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2377 to the power of 1\/2, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 830378.4ug to nanograms.\nAnswer: 830378400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2957 + -17. Is c a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8923 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 8, -6, -5711, 37 in decreasing order.\nAnswer: 37, 8, -2, -6, -5711","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 - 1. Let o be 90\/168 - (-6)\/(-21). Sort n, o, 4.\nAnswer: n, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 16\/6 - ((-25)\/(-15) - 1). Solve c = 4*i - 2 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**2 + t + 3. Let r(m) = -6*m**2 + 5*m + 15. Let a(s) = 2*r(s) - 11*w(s). Determine a(-4).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 169\/360 and 101\/40.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -987788 + 987796. Let z = -3 - 2. What is the nearest to 1\/4 in 0, z, m, -0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -538*f**4*z + 211*f**4 + f**3 + 39111*f**2*z + f**2 - z wrt f.\nAnswer: -12912*f*z + 5064*f + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 99.946 - 5.125. Let s = 0.179 + k. Let q = s - 95.000158. What is q rounded to 5 decimal places?\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k + 5*y + 18, -5 = -2*k + 2*y - 17. Let d = k + 11. Solve 2*v + d + 3 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 396704 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 69682 rounded to the nearest ten thousand?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4042)\/423 - (-16)\/(-36). Which is the nearest to -0.03? (a) -2\/15 (b) n (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4221102 is divided by 141?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 3*r**2 + 12*r + 19. Let x be j(-19). Let y = 1367 - x. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13 + 11122203012023?\nAnswer: 11122203012010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - k - 8 = -2*r, 5*r - 4*k = 21. Solve u = -0 + r for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -8, 2.\nAnswer: -8, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-2) + (4 - 14). Let j(h) be the third derivative of h**4\/24 + 5*h**3\/3 - 2*h**2. Calculate the remainder when 1 is divided by j(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2, 7, 3, -137, 34 in decreasing order.\nAnswer: 34, 7, 3, 0, -2, -137","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1\/3 (b) 15\/2 (c) 3 (d) 2\/99\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8.38 + 1496.62. Let s = x + -1514. Round s to the nearest integer.\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-160)\/(-50))\/(1 + -2 + (-77)\/(-55))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8828614 is divided by 152.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -275 + 215. Calculate the remainder when (-405)\/30*(-1 - 1) is divided by g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 14*y**3 - 2*y**2 - 3*y + 2. Calculate a(3).\nAnswer: 353","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1233 (base 14) to base 7.\nAnswer: -12163","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (12 - -6) - (-6 - -21).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 87558?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 484300 and 1270?\nAnswer: 61506100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-7)*x*(x\/(x*x*(x*x\/((((x\/(x\/(x\/x**(-5)))*x)\/x)\/x*x*x)\/x))\/x*x*x*x))\/x*x*(x**7*x)**(2\/115))**(-12\/11) assuming x is positive.\nAnswer: x**(5328\/1265)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 (base 10) in base 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*j - 2*j + 3*j + (11 - 55 - 29)*(7 - 7 + 4*j) as u*j + q and give u.\nAnswer: -293","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 14 = 4*k, 10*k + 3 = 4*g + 5*k. Factor -38*o**2 - 3*o + 6*o**4 - 38*o**2 + 3*o**5 + 70*o**g.\nAnswer: 3*o*(o - 1)*(o + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the second derivative of 73*f**8\/56 + 161*f**4\/12 - 2*f - 31. Find the third derivative of h(c) wrt c.\nAnswer: 8760*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/8, 1\/24613, 2\/5, -3?\nAnswer: 1\/24613","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 10*g**2. Suppose 0 = -x - 4 + 6. Let v be i(x). Let k = -19 + v. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-64)\/144*40\/32*18\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*r**3\/3 - 9964*r**2 + 4556076*r - 505892628.\nAnswer: -4*(r - 219)**2*(r + 7911)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7*b**2 + b**2 + 2*b**2)*(-17 + 1 + 2) in the form m*b + l*b**2 + c and give l.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 46722867714 + 0.3?\nAnswer: 46722867714.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1760820240?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -45161 + 6483. Suppose 0*t - 113293 = 4*t - 5*w, 5*t = -3*w - 141607. Let u = t + r. What is u rounded to the nearest 10000?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes before 1:30 PM?\nAnswer: 1:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) -8 (b) 0.2 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/(-21) + (-153)\/(-21). Suppose -o*a = -2*a + 63500. What is a rounded to the nearest 1000?\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/8 - 18\/(-4). Suppose 0 = -c, -j*c - 6 = -4*b + 34. Does 7 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -10*(-2)\/4 + -1. Find the second derivative of -2*z + 3*z - 3*z**3 + r*z - 2*z wrt z.\nAnswer: -18*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -821*o - 5010. Let t be c(20). What is t rounded to the nearest one thousand?\nAnswer: -21000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -52*s**3 + 188*s**2 + 51*s + 7. Let i be x(-53). What is i rounded to the nearest one million?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**5*p)\/p)**0)**(-1\/15) assuming p is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 139 + -344. Suppose l + 146 = -5*i, -288 = 5*l - 2*i + 307. Let p = l - c. What are the prime factors of p?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2326*f**4 + 16*f**3 + 112*f**2 - 1657001*f - 13 wrt f?\nAnswer: -27912*f**2 + 96*f + 224","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 106150218 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: How many minutes are there between 1:48 AM and 9:42 AM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -60\/13, -4, 6\/13, 1, -208?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -404*k + 22786 + 39458 = 394*k. Solve -k = -21*u - 78 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -98, -250, -460, -722, -1030, -1378?\nAnswer: -1760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Do -4398 and 3 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 3*v - 14. Give j(7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*g + 11*g = -72. Let z be (-3 - 5\/(-2))*-202. Suppose -5*f - g*w - 12 = -z, 3*f - 54 = -2*w. What is the remainder when f is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2604, 1814, 1024, 234, -556, -1346?\nAnswer: -2136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*a = 4*a - 80 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-12 - -32) + 1 + -1 + 0. What is the highest common factor of p and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 + 3)*(-531*k**3 + 31*k**5 + 531*k**3).\nAnswer: 31*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 22893, 22901, 22909?\n\"Answer: 8*u + 22885","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 39*i**2 + 469*i + 118. Let j(g) = 350*g**2 + 4220*g + 1065. Suppose -3*z + 20 = -2*r, -4 = 3*r + 5*z - 3*z. Let x(m) = r*j(m) + 35*c(m). Factor x(t).\nAnswer: -5*(t + 13)*(7*t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (10\/(-20))\/(2\/14). Let k = 3 + y. What is the nearest to 0 in k, -3, -10?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 238784 and 1456.\nAnswer: 238784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (386*c**3 + 24454*c**2 - 24454*c**2)*(-9 - c**2 + 13 - c**2).\nAnswer: -772*c**5 + 1544*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**2 + 51*f - 1. Let j(u) = -17*u. Give 7*j(b) + 2*n(b).\nAnswer: -2*b**2 - 17*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (43 + 51 - 38)*((7 - 2 - 3)*(4 - n - 4) - n + 0*n - n + (-5 + 4 + 2)*(-3*n + 2*n - n)).\nAnswer: -336*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3, 10, 5, -18, -65, -142, -255, -410?\nAnswer: -613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = s + 17, -4*m + 538 = -s + 506. What is q in -47*q**3 + 11\/5*q**2 + 5324\/5 + 3872\/5*q + 29\/5*q**4 - 1\/5*q**m = 0?\nAnswer: -2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a litre in millilitres?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*z - 29 - 42 = b, -4*z = 2*b - 34 for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (4 - -1) - (3 - (11 + -7))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(12\/(12\/(-12)))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3 + -12 + 6\/2. Let r be ((-6)\/4)\/((-9)\/h). What are the prime factors of r*14*4\/(-8)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10042371 + 36012371. What is r rounded to the nearest one million?\nAnswer: 26000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(((-4958)\/555)\/67)?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -1*(3 + (sqrt(833) - sqrt(833)*1))**2*-3.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1448708556?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1664672 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 127\/2463070 and -26\/39655427.\nAnswer: 396554270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 5*i - 203, 0*q + 4*q = 5*i - 204. Let k = i - 37. Calculate the greatest common factor of k and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + a = -239 - 89, 5*i - a - 411 = 0. Suppose 2*q = 6, 3*q - 19 = -t - 2*q. Suppose -2*f + u + t*u = -85, -2*f = -3*u - i. Is 10 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 + 7 + (6 - 4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2448) + 5 + 4.\nAnswer: 9 + 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 121*x = 27*x + 3384. Calculate the greatest common divisor of x and 5490.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -6616, -6683, -6750, -6817, -6884?\n\"Answer: -67*s - 6549","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**2 + 8*p - 1211. Give y(31).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from udzguduuduuiduuzdduu. Give prob of sequence di.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -70358400 divided by 27920.\nAnswer: -2520","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-nine halves of a litre?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9.9 - 10. Is h smaller than 0.12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.03 - 2.17. Let a = y - 0.8. Let d = 6 + a. Put -4, -1\/11, d in increasing order.\nAnswer: -4, -1\/11, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 + -1. Suppose w*o - 50 = 3*d - d, -4*o + 47 = -3*d. Let k be (-4)\/o + (-65)\/(-7). What is the greatest common factor of 18 and k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 - -185739410\nAnswer: 185739410.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0, 5, -11\/10, -0.3, 0.25?\nAnswer: -11\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 11, -111, 2, 21, -13, -1 in increasing order.\nAnswer: -111, -13, -1, 2, 4, 11, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 105 = 5*w - 5*u, -101 = 111371*w - 111376*w + 4*u for w.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 156657.553 rounded to the nearest one thousand?\nAnswer: 157000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:30 AM and 7:07 PM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 137692\/(-16) + 1 + (-55)\/44. What is j rounded to the nearest 1000?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4391?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sccs when four letters picked without replacement from lxselcclss.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l*l**(2\/13)))\/l*l*l)**(2\/55)*(l*(l**(-42)\/l*l)\/l*l)\/l**(-13) assuming l is positive.\nAnswer: l**(-1818\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 45858705*o**3 - 68927349*o?\nAnswer: 275152230*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y*y*y**(-6))\/(y\/((y*y**11)\/y)))\/(y**16\/y**(-1\/11)))**(2\/13) assuming y is positive.\nAnswer: y**(-200\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -128.6 - -113. Let u = -15.3 - y. What is the smallest value in 4, u, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -109 - -278. Let y = -714 - -594. Let f = y + z. Which is smaller: 0 or f?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3954548654?\nAnswer: 2, 7, 23, 12281207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (470*t + 145*t - 384*t + 247*t)*((-5*t + 3*t + t)*(0*t**3 + 0*t**3 - 2*t**3) + 0*t**4 - 6*t**4 + 5*t**4 + 5*t**4 + t**4 - 3*t**4).\nAnswer: 1912*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 2*x - 2, -10*a + 16*a = 5*x - 5. Sort -1288, a, -3 in descending order.\nAnswer: a, -3, -1288","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(1300))**2 + 5 - (sqrt(1300) - ((sqrt(1300) - ((sqrt(1300) - (sqrt(1300) + 1)*-2) + sqrt(1300))) + sqrt(1300)))**2) + 1.\nAnswer: -10397 - 140*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**2. Let c = 3419 + -3419. Let d(f) be the second derivative of 0*f**2 + c + 11*f - 25\/6*f**3. What is v(d(l))?\nAnswer: 625*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.7224 + 0.8924. What is the fourth smallest value in -8, p, -8\/5, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -b9 (base 15) in base 16?\nAnswer: -ae","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -5*h + h. Let j = -7 + 10. Solve -h*x + 7 = -j for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 1 + 6)*(-2*d - 3*d + 6*d) + 3*d - 4 + 4 in the form m*d + j and give m.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 - 2*p)*(-3*p + 0*p + 2*p) + (-58 - 124 - 151)*(11*p**2 - 8*p**2 - 16*p**2 + (-3*p + p + 3*p)*(p - 4 + 4)) to w*p**2 + z + r*p and give w.\nAnswer: 3998","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.2 + 0.1. Let d = z + -0.1. Let n = -149010 - -149013. Which is the second biggest value? (a) n (b) d (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 618185.7kg in grams?\nAnswer: 618185700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 4*g**3 - 2*g**2 + 1. Let n(j) = -7*j**3 + 4*j**2 - 2. Suppose -5*d + h - 26 = 0, 5*d - 4*h + 27 = -2*h. Determine d*l(s) - 3*n(s).\nAnswer: s**3 - 2*s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**3 - 6*g**2 - 4*g - 9. Let r be l(-6). Let x(q) = -q**2 + 10*q - 5. Let k be x(8). Let h = r - k. What is the smallest common multiple of 1 and h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 27 + 12 = 0. Let j be ((-3)\/2)\/(1\/(-2)). Solve j*x = -t - 9 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(51)\/sqrt(3)*4 + 4 + sqrt(68)\/sqrt(4)) + 5.\nAnswer: 17 + 15*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ahaoaohhhhohh. Give prob of picking 1 o, 1 h, and 1 a.\nAnswer: 63\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*v + 9*v - 4. Solve -v*s**4 - 59 + 16*s**2 + 61 + 9*s + 15*s**3 - s**3 + 10*s**4 + s**5 = 0 for s.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -3, 4, 28, 7\/27 in decreasing order.\nAnswer: 28, 4, 7\/27, 0.1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4574966718?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i + 0*i + 0*i)*(-2*i**3 - 3*i**3 + 3*i**3) + 2*i**4 - i**4 + i**4 - 116*i**4 - 218*i**4 - 45*i**4.\nAnswer: -383*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.711988ml to litres.\nAnswer: 0.000711988","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2018546 to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (9 + -21)\/(-6)*5\/2. Let p(w) = 2*w**3 + 5*w**2 + 8*w + 5. Let o(g) = 2*g**3 + 6*g**2 + 9*g + 6. Suppose -2*t + 13 = 25. Calculate f*o(z) + t*p(z).\nAnswer: -2*z**3 - 3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**3 + 5*a**2 - 10. Let i be f(-4). Sort i, -5, -3, -2 in ascending order.\nAnswer: -5, -3, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.3 + 0.2. Let t = o - 0.5. Let s = -1.25 + t. What is s rounded to 1 decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r - 3*r - 4 = 2*p, -20 = -4*p + 4*r for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 415287, 415285, 415283, 415281, 415279, 415277?\nAnswer: 415275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 5*w + 9 = -7, 5*w + 52 = -3*u. Let v be (-27 + -14)\/((-1)\/u). Let z = 500 - v. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 8 - 36 = -4*t, 16 = 2*f + 4*t. Let y be -1 - (-12)\/(-8)*(-28)\/f. Which is the nearest to y? (a) -16 (b) -2\/21 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1340\/804*(90\/5)\/2?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2 - 1)\/((-4)\/16). Let d be (-318)\/(-14) - i\/14. Solve 5*q + 3*b = d, 4*b + 0*b + 4 = 2*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 318370006 a multiple of 93?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 513244543 + -4?\nAnswer: 513244535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70*m - 5705 = -119*m - 1169 for m.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:35 PM and 6:50 PM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:55 PM and 2:19 AM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -83.2 + 87. Let v = p + -6.8. What is the closest to 2 in 4, v, -3\/8?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3357*m**5 - 8*m**3 + 15*m**2 + 7*m - 9 wrt m.\nAnswer: -201420*m**2 - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 x when two letters picked without replacement from {x: 3, t: 11, n: 4, b: 1}?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 128734 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2549 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.7 smaller than 107299737?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15447 and 190.\nAnswer: 154470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 3 - 57*j + 0 - 68*j.\nAnswer: -125*j - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000493 rounded to six decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, 3, -5, 33, -16?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 357 is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -258, -261, -264, -267, -270?\nAnswer: -273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.482 - 0.682. Let l be 10\/6*(-4)\/10. Which is the second smallest value? (a) l (b) q (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 3*a = 8. Let o be a\/20 - (-32)\/10. Solve o*p = -0*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 55626 by -6.\nAnswer: -9271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 492 and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13\/60 + 1417\/60. Let y = -9852 + 98411\/10. What is the common denominator of y and n?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 233305 + 21*f - 233305 - 19*f.\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -279, -561, -843?\n\"Answer: -282*i + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 1 = -t. Let s be t\/(-2) - 26\/(-4). What are the prime factors of ((-8)\/s)\/((-2)\/3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8761 is divided by 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 285673\nAnswer: -285674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -44*s**4 - 21*s**2 - 26*s**2 - 53*s**4 - 2*s + s - 204*s**4 wrt s?\nAnswer: -7224*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 198423 + -5000. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 4\/3 (b) 1\/5 (c) -0.2 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 11*w**2*x**2 + 24*w**2*x + 493*x**2 wrt w.\nAnswer: 22*w*x**2 + 48*w*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 7 + 29*i - 15*i + 7 - 8*i**2 + 54*i. Let h(x) = -3*x**2 + 23*x + 5. Let w(m) = 14*h(m) - 5*v(m). What is the second derivative of w(b) wrt b?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m - 58 = 271. Let d(q) = 4 + 0 - q + 0*q. Calculate the remainder when m is divided by d(-8).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lqzzeppzlz. Give prob of picking 1 p and 2 z.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 346747 or 11442647\/33?\nAnswer: 11442647\/33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**2 + 8712*s + 9487368.\nAnswer: 2*(s + 2178)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = i - 176. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -4, 2\/9, -36, -48316?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 125 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1351969237.\nAnswer: 1351969237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-4) + (-3)\/(-2). Suppose 0 = -4*n + 3*w - 5, 0*n - 4*n - 5*w = 45. Let t be -1 + (n - -2 - -5). Calculate the greatest common divisor of i and t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 216792 is divided by 46.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 11, 22, 47, 86, 139, 206?\n\"Answer: 7*o**2 - 10*o + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -68, 122, 404, 778?\n\"Answer: 46*c**2 + 52*c - 166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-36)\/24)\/((-6)\/104). Let z(m) = -3*m**3 - m**2 - m. Let k be z(-1). Suppose 2*u + g = k*u. Does 20 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-3) - (-286)\/6. Let q be 42\/(0 + (-9)\/6). Let n = z + q. What are the prime factors of n?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 2 = 2*l. Let t = -184\/5 + 37. Which is the biggest value? (a) t (b) 0 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 11*w - 14. Calculate d(-5).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/1*(-1)\/4. Let v be (-11)\/2 - (13 - 17). Sort -0.4, v, j.\nAnswer: v, -0.4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1000.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 147122, 294250, 441378, 588506, 735634?\n\"Answer: 147128*o - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 130*v - 109*v = -6695 + 8165 for v.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 5*q**2 - 7 + 3*q - 2*q**2 + 6 + 5. Let c be u(-4). Suppose -7*d - c = d. Put 0, 2, d, 1 in ascending order.\nAnswer: d, 0, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*m - 24 = -26*m. What is the tens digit of -3 + 8392\/12 + m\/6?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 78 and 351.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*r - 11*r - 2 = 2*y, -2*r = -3*y - 23 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1082 by 439.\nAnswer: -1082\/439","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -48.895 + 49. Let x = h + 7.195. Let l = x - 7.5. Which is the third smallest value? (a) -2\/3 (b) 1 (c) 0.2 (d) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 5*u - 25. Suppose -2*t = -3*t + 2*c - 15, u*c - 10 = -t. Calculate the lowest common multiple of 22 and 5\/25 + (-59)\/t.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100010011000 + 110010?\nAnswer: 100011001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m**3 - 10662*m**2 - 6899240*m = 0 for m.\nAnswer: -9970, -692, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:51 PM and 8:39 AM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 20 = i + 27, 0 = -2*i + 2*d + 10. Let r(s) = s + 1. Let u(c) = -9*c - 9. Determine i*u(x) - 6*r(x).\nAnswer: 3*x + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(11) + (sqrt(11) + (sqrt(22)\/sqrt(2))**2 - sqrt(11))) - sqrt(11))*-2.\nAnswer: -88 - 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 29 - (-663 - -659)\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 0*f - 4 - 3*f - f + 0. Let a(c) = 3*c + 3. Determine -3*a(h) - 2*k(h).\nAnswer: -h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -27 - -22. Let d(w) = -17*w + 14. What is the tens digit of d(o)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -4*h - 11. Let x(t) = -t - 4. Let r(z) = -4*q(z) + 11*x(z). Let d be r(15). Let c = 73 - d. Sort c, 3, 2, 5 in decreasing order.\nAnswer: 5, 3, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3697583479 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Do 288 and 289 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 22 = 3*r - 2*r, -3*r = -4*s + 10. Let g be (-2)\/s + (-2)\/(-4). Solve 0*a - a - 4 = g for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t - 123318 = -5*t - 2*r, 3*t + 5*r = -369910. What is t rounded to the nearest 100000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the third derivative of -q**5\/60 + q**4\/12 + q**3\/6 + 7*q**2 - q + 172. Suppose 2*b - 2*r + 3*r - 1 = 0, 2*r = -b - 4. Determine w(b).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -h**3 - 8280*h**2 - 1900208*h - 14672256 = 0.\nAnswer: -8044, -228, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -q**5 - 105*q**4 - 2586*q**3 + 9388*q**2 + 16632*q - 23328 = 0.\nAnswer: -54, -2, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 5*z - 2*k - 5, 4*k + 8 = 4*z. Let m = -60 + 182\/3. Which is greater: z or m?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1350.526 less than -156\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1015 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -169*r**3*u*z + 8*r**3*u + 4*r**3*z - 75*r**2*u + 15*r**2*z + 2*r*u*z wrt r.\nAnswer: -1014*u*z + 48*u + 24*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 146326570 rounded to the nearest one hundred thousand?\nAnswer: 146300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 1028*q - 1070*q + 398118. List the prime factors of q.\nAnswer: 9479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -8 or -3\/286?\nAnswer: -3\/286","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of h**2*v**2 - h**2*v - 471*h*v**2 + 2*h + v**4 - 153*v wrt v?\nAnswer: 2*h**2 - 942*h + 12*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30922*b + 1352 = 30870*b for b.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 16 = -5*x, 0 = -5*q + 8*x - 4*x - 17. What is the tens digit of ((-286)\/55)\/(q\/30)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0\/(-15) + (-2)\/(-8). Let x = 8.1 - 0.1. Is c less than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -5*c - 67. Let x be d(-14). Put x, 6, 0 in increasing order.\nAnswer: 0, x, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*16\/12*1\/2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 768 is divided by 384.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2803.95211 rounded to the nearest 10?\nAnswer: 2800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 32.7 - 12.3. Let w = -20 + l. What is the biggest value in 6, w, 5?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jtpjsjjtsttzdptjt. Give prob of picking 3 j and 1 s.\nAnswer: 1\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*b - 11*b = 22*b - 1012 for b.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71644 - 286596 + 2*n**3 + 71659 + 71645 + 71648.\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the first derivative of s**4\/4 + 5*s**3\/3 - s**2\/2 - 3*s - 21. Let l be u(-5). What is the second smallest value in 0.5, l, -3\/2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (4\/14)\/(1\/203)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2\/343 - -92\/1029. What is the second smallest value in 3, k, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -101 - -94. Sort k, 2, 3, -4.\nAnswer: k, -4, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*z + 2*h - 8, -5*z - 2*h + 23 = 0. Is 9 a factor of (-272)\/(-10)*(4 + z\/(-2))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(612) - (0 + sqrt(612)*1))*-6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(200) - (sqrt(200) - (sqrt(200) + 1*sqrt(200) + 2))) + 5 - (3 + (sqrt(200) + -3*sqrt(200))*6 + -1))**2.\nAnswer: 1680*sqrt(2) + 39236","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -8*z. Let s be t(0). Let k(b) = -b**3 + 4*b**2 + 2. Let f = -3 + 7. Let n be k(f). Is n >= s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 115083, 229380, 343677, 457974, 572271?\nAnswer: 686568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 + -2 - -3)*-26. Let o = i - -143. What is the highest common factor of 13 and o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (16 - (-24 + 28)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of b**4*w + 499*b**3*w - b**3 + b**2*w + 17*b*w wrt b?\nAnswer: 24*b*w + 2994*w - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -78261 + 1880?\nAnswer: -76271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 b when two letters picked without replacement from {d: 1, r: 2, b: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 1635*m**2 - 1680*m - 3255. Let u(q) = q**3 + 1632*q**2 - 1671*q - 3254. Let k(x) = -4*r(x) + 5*u(x). Determine o, given that k(o) = 0.\nAnswer: -325, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-10))\/(-30*42\/300)\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 21 + -25. Let v = 9 + j. Suppose -v*d = -10*d + 150. Is d a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14079\/17 or -828?\nAnswer: -14079\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-123)\/(-30) + (-2)\/20. Suppose 0 = -2*f + v*f + 10, -4*k = -3*f - 123. Calculate the remainder when 51 + (-1)\/(-1 - 0) is divided by k.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from doddodoodo. What is prob of sequence od?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 183*c = 224*c - 48667. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(2052) - sqrt(2052)) + (-2*sqrt(57) + sqrt(57))*-1)\/((sqrt(1728) - sqrt(3))*5).\nAnswer: -11*sqrt(19)\/115","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**2 - 30. Let q(o) = -3133*o. Give a(q(w)).\nAnswer: -9815689*w**2 - 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 9\/(-6)*(-3)\/3\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7197120?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wsj when three letters picked without replacement from wwnwnsncsjw?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*u + 0*u + 168 = 0. Let s(n) = 2*n**2 + 14*n - 5. What is s(u)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) -0.034 (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-160)\/(-60))\/((-2)\/9*195\/((-70)\/14)).\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q*q*q\/(q\/(q**(-2)\/q*q))*q**(-6\/5)\/q)\/(q**(1\/3))**37*(q**1*(q**(-2\/19)\/q)\/q)**(-1\/28) assuming q is positive.\nAnswer: q**(-15383\/1140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-12)\/4*8\/(-6). Suppose a + 5*s + 5 = 0, -p*a - 5*s + 3*s = -16. Suppose a + 22 = 3*b. What are the prime factors of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1451985431?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16149 - f**2 + 16150 + 90*f + 11*f**2 + 4*f**2 to the form k + g*f**2 + q*f and give q.\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.049 + -50.049. Let u = 49 + j. Put 0.23, 1, u in decreasing order.\nAnswer: 1, 0.23, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -459 = -5*f - 434. Suppose 6*y - f - 7 = 0. Factor 16\/7*h + 0 + 2*h**4 + 36\/7*h**3 + 2\/7*h**5 + 40\/7*h**y.\nAnswer: 2*h*(h + 1)*(h + 2)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1eb0 - 0?\nAnswer: 1eb0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -153480 divided by -212?\nAnswer: 38370\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1119109\/165321 - -1\/12717. What is the third smallest value in -5, -2\/5, t?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14056, -56287, -126698, -225289, -352060, -507011, -690142?\nAnswer: -901453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(-3))\/u*u\/((u*(u*u*u*u\/(u\/(u\/(((u\/(u\/u**(3\/2)))\/u)\/u))))\/u)\/u*u)*u*u*u\/(u**3\/u)*u*(u**3\/u)\/u assuming u is positive.\nAnswer: u**(5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 164.7951 to 1 dp.\nAnswer: 164.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 - -20. Let m be (5*-1)\/(1\/(-4)). Suppose -m = 5*z, 104 = 2*x + 7*z - 3*z. Calculate the highest common factor of x and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -40 + (27 - 49 - -22) + 187.\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*q + 12*q + 2*q - 32*q**3.\nAnswer: -32*q**3 + 12*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h + 11 - 2. Let x(s) = -s**2 + 4*s + 1. Give x(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (8\/(-6))\/(((-60)\/27)\/5). Suppose 4*s - 24 = -c*i, 2*i - 8 - 6 = -2*s. Suppose u + 2*b - 24 = 0, 8*b - 20 = s*b. Solve 2*x = -2*x + u for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -1.4 (b) -3106 (c) 2\/23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, x: 3, q: 3, i: 3, p: 3}. Give prob of picking 1 x and 3 p.\nAnswer: 3\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*g - 16*g - 19*g.\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 + 19\/6. Let f = -0.09 + 0.1. Let l = -2.01 + f. Sort a, l, -3\/7 in increasing order.\nAnswer: l, -3\/7, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1463 + 3716. Is 7 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3881*i - 7 + 4*i**3 - 3881*i + 7.\nAnswer: 4*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**2 + 4*m + 5. Let p be t(-5). Let b(a) = a**3 + 2*a**2 + 222*a + 880. Let w be b(-4). Let x be ((-4)\/p)\/((-24)\/w). Sort -2, 1.9, 1, x.\nAnswer: -2, x, 1, 1.9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 233 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(1\/6)*l*l)**(-7\/4)*(l\/(l*l*l**10)*l)**(-5\/3))**(2\/7) assuming l is positive.\nAnswer: l**(103\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.0414 + -4.0174. Let o = n + -0.024. Put 3, o, -1\/4 in increasing order.\nAnswer: o, -1\/4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8714294 hours in minutes?\nAnswer: 52.285764","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 941567 is divided by 599.\nAnswer: 538","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) 33 (c) 5 (d) -115\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -65*n**3 + 125*n**3 - 57*n**3.\nAnswer: 3*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1c5 - 3?\nAnswer: -1c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7820 + -4207. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/4878 and -85\/8784.\nAnswer: 2380464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**3 - 4*l**2 + 17*l - 21. What is v(-7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/((-3 + 7)\/(-60)). Calculate the greatest common factor of 66 and s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84299 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34359209 divided by 5.\nAnswer: 34359209\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -23 - -158\/7. Let a = 177.03 - 174. Let k = -0.03 + a. What is the second biggest value in k, 1\/11, x?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -7*j + 3. Determine n(-3).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**3 + 4*k**2 + 5*k - 6. Let s be u(5). Let z(h) = h**2 + 7*h + 9. Let n be z(s). Solve -3*w = -12, -2 = -i + 2*w - n*w for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*r + 75 = -6*r. Suppose 4*c + 11736 = 4*w, r*c - 8812 = -3*w + 6*c. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1772275520?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 bigger than 647\/44?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 2*v**2 - 2*v - 2. Let k(f) = 2*f**2 - 2*f - 2. Suppose 9*n - 45 = -0*n. What is n*g(t) - 6*k(t)?\nAnswer: -2*t**2 + 2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 251997?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -29122\/5 at most as big as -5824?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 575441.5nm to micrometers.\nAnswer: 575.4415","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 2 = -12. Does 2 divide j\/(-2)*(-12 - -15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 = -4*q + 4*f, 9*q - f = 14*q + 59 for q.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide -18*(-11)\/66 + 1030?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 2*l**3 - 164*l**2 + 765*l + 340. Give o(77).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2173961?\nAnswer: 19, 114419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -83*q - 81*q - 90*q - 88*q + 344*q.\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -7, -23, -73, -175, -347, -607, -973?\n\"Answer: -3*i**3 + i**2 + 2*i - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-78)\/(-15)*665\/(-266).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 143738.\nAnswer: 2, 7, 10267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes after 7:36 AM?\nAnswer: 10:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 14\/8 - 3\/(-12). Suppose 0 = -g*f + f + 4. Let d be 4 - 2 - 10\/f. What is the nearest to 0.1 in d, 0.5, -2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 447.1825 days in milliseconds?\nAnswer: 38636568000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the third derivative of -l**4\/8 - 23*l**3\/3 + 48*l**2 + 36*l. Give w(-17).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0004613917648 to 4 dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the first derivative of 0*b**4 + 6 - 1\/3*b**3 + 0*b + 4\/5*b**5 + 0*b**2. Find the third derivative of p(s) wrt s.\nAnswer: 96*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2691673750?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the second derivative of y**3\/6 + 9*y**2\/2 + 74*y. What is z(-11)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 146044 + 378200 = 79*c. Is 28 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 171561 to the power of 1\/2, to the nearest integer?\nAnswer: 414","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -81 + 78 - (-1 + 0 - -1)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 59.2, 2\/5, 14?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 51444 divided by 12861.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 491976592 to the nearest integer?\nAnswer: 22181","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3 + 3)\/(-4)*1. Suppose o + 4 - 37 = j. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-22)\/(-44)*(-15 - 1)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 562506 and 128251368.\nAnswer: 128251368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1.589, -8, 3, 4, -6\/5, -38 in descending order.\nAnswer: 4, 3, 1.589, -6\/5, -3, -8, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00063259 rounded to four decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes after 1:33 AM?\nAnswer: 8:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.005 in 0.4, 1\/7, 0.2?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -136.4, -4\/3, 3, 0.04, 5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 53 + -1. What is the highest common factor of r and 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/2882 (b) 4 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 - -1)*(-7)\/(-7). Suppose -15*s + 7698 = -11*s + f*r, -4*s - 3*r + 7697 = 0. Is 35 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 69350*-3\nAnswer: -208050","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 325*j**4*z + 126*j*z wrt j.\nAnswer: 3900*j**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add together -41.135 and -0.40922508.\nAnswer: -41.54422508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 149*s**2 + 247*s - 2. Determine w(-1).\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -144 divided by -40\nAnswer: 18\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -352 = 8*f - 280 for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (10 - 22) - (3 - (-20)\/8).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3626 - 2399. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = o + 3*r - 8, 2 = 3*o - 5*r. Solve 4*v - 4 = -5*n, o*n = 4*v - 4 - 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0*2*(-2)\/8?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from yqyqy.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-56)\/14)\/(0 + 1 + -3). Factor 20*o**2 - 30*o**f + 4*o**3 + 2*o + 3*o + o**3.\nAnswer: 5*o*(o - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 62112.8 and 0.\nAnswer: 62112.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 + 40927?\nAnswer: 40927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11\/48 - -9\/16. Which is the nearest to -2? (a) r (b) 4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 74, 338, 602, 866, 1130, 1394?\nAnswer: 1658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 10\/12*(18 + -17). Let g(q) be the second derivative of i*q**3 + q + 0 + 0*q**2. What is g(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 2. Let r(q) = -q + 3. Let j(v) = 2*r(v) - 3*t(v). Let m(o) = -27*o**2 - 7*o. Let l(w) = 14*w**2 + 4*w. Let c(b) = 5*l(b) + 3*m(b). Determine c(j(s)).\nAnswer: -44*s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -434580 (base 11) to base 2\nAnswer: -10101001011110000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 3639, 7216, 10759, 14268, 17743?\n\"Answer: -17*h**2 + 3628*h + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 218, 888, 1996, 3536, 5502?\nAnswer: 7888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -219*s + 196*s + 3243. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6 + 8)\/(1\/5). Suppose -v*q + 22 = -8. Suppose 3*i - 684 = -4*l + 623, -q*l - 1751 = -4*i. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 71.33+-3985882.6\nAnswer: -3985811.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 - 3. What is the closest to 0.1 in 0.3, -2, x?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58581087 equal to 234324347\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1269 or 1266?\nAnswer: 1266","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and -2\/1916643189 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + 4*s + 1 = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 4) in base 11?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 66273 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-25 - (-12870)\/494)*19?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*k + 14. Let p(n) = -n**3 + n**2. Let r(t) = 4*t**3 - 6*t**2. Calculate k*p(a) + r(a).\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 3*z - 14. Let t be r(6). Suppose -2*s - 28 = -t*w, 5*s + 3 = 3*w - 11. Calculate the remainder when 29 is divided by w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 22806*a. Let c(r) = -2*r**2. Calculate j(c(b)).\nAnswer: -45612*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -2*d - 4*b + 1, 3*b + 9 = 0. Let o be (1\/d)\/((-1)\/(-12)). Suppose 4*f = o*f - 182. What are the prime factors of f?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 8569614\nAnswer: 8569617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 2*s**3 - 4*s**2 + 2*s + 2. Suppose 2 = -4*o + 10. What is the least common multiple of p(o) and 11?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -2*y - 3. Let x be m(-3). Let p = 21644 + -21614. Solve -x*i - p = 3*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -24534 + 13?\nAnswer: -24521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -434, 4, -2, 556 in decreasing order.\nAnswer: 556, 4, -2, -6, -434","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, -1, -0.4 in ascending order.\nAnswer: -1, -0.4, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 16843 and -30.5?\nAnswer: 16873.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 2*m. Solve -n + m*n - 4 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 0*o + 116 = 4*a, -70 = -2*o - 5*a. Calculate the highest common divisor of o and 175.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 2*c**2 + 2*c - 7. Let v be b(-3). Let o be -2 - -6 - (10\/v - -3). Which is greater: o or -11\/25?\nAnswer: -11\/25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u when three letters picked without replacement from {u: 4, l: 7}?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p + 3*p - 4*p)*(-2*p + p**2 + 2*p) + 45*p**2 - 45*p**2 - 21*p**3 - p**3 + p**3 + 2*p**3 - p**3 - 5*p**3 + 5*p**3.\nAnswer: -19*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 287 - 231. Suppose s + 0*s - 8 = 0. What is the highest common divisor of t and s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -81*u**2 - 41*u + 46. What is q(1)?\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5659 = -4*g - 5*v, 6*v = -2*g + 4*v + 2832. What are the prime factors of g?\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-d + 3*d - 3*d + 6*d**2)*(16*d**2 + 33*d**2 - 31*d**2) to the form l*d**3 + u*d + r*d**4 + t + z*d**2 and give r.\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/70*15*(-2)\/9.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -3, 118, -1662 in increasing order.\nAnswer: -1662, -3, -2, 118","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3407\/1628 + 141\/148. Find the common denominator of (-2)\/(-16) + (14 - 22) + 2 and q.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*t**2 + 383*t - 96.\nAnswer: (t + 96)*(4*t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 395 or 491?\nAnswer: 395","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -12*k**2 - 23*k - 43. Let h(f) = 2*f**2 + 4*f + 7. Calculate -34*h(z) - 6*v(z).\nAnswer: 4*z**2 + 2*z + 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i - 2. Let s be g(-6). Let w(k) = -k**3 - 7*k**2 + 7*k + 5. Let v be w(s). Suppose t + v = j, -2*j = 2*t - 5*t - 31. 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 p(r) = 26*r**2 + 4*r - 1. Is 17 a factor of p(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 221244048 and 1272.\nAnswer: 1272","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 23505 (base 7) in base 3?\nAnswer: 22100020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43*w - 24*w - 23*w - 12*w - 13*w.\nAnswer: -29*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:22 AM and 2:23 PM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -36 - 4. Let r(z) = -z**2 - 19*z + 23. Let v be r(t). Solve v*f - 3 = -0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17442 to the power of 1\/3, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-82)\/205*2*10\/28?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, v: 5, e: 4}. What is prob of picking 2 v?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -16 + 27. Let c = -10.97 + l. Is 0.1 >= c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -2*y**3 - 9*y**2 + y + 47. Determine t(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*g + 6*g + 3*g)*(736*g**2 - 696*g**2 - 489*g**2).\nAnswer: -1796*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 278333.\nAnswer: 1\/278333","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 - -25. Suppose 14*a - s = 13*a. Suppose 4*h - 75 = -a. What is the greatest common factor of 42 and h?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6316 + 77?\nAnswer: 6393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 201 - 2033011?\nAnswer: -2032210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p - 2*p + 0*p - 2)*(0 + 4 - 2).\nAnswer: -6*p - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 2 u when three letters picked without replacement from hhhhuuh.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = 21*o - 214 for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (105\/(-56))\/15 + 0\/(-1)\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 4*t - 11. Let l be r(6). Let a = -9 + l. Let q = a - -36. List the prime factors of q.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-6)*(-3)\/(-2). Let q = -26 - -26.2. Which is the closest to 0.1? (a) q (b) 1\/3 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 557 is divided by 116.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 134\/26 + (-26)\/169. Solve -2*u - 28 = k*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15.86498 milligrams to kilograms.\nAnswer: 0.00001586498","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 1 - 1)*(2 + 0 + 0) - 5 + 3 + 1)*(-3*p**2 - 75 + 75).\nAnswer: 9*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-484)\/121)\/((-273)\/(-126))\nAnswer: -24\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2\/((-5)\/((-30)\/(-4)))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 2064 divide 192914742?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.06 or 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 8) in base 5?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 632*q**2 - 335*q**2 - 296*q**2 - 375*q.\nAnswer: q**2 - 375*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 122 (base 13) to base 2.\nAnswer: 11000101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3*((-2)\/2)\/1. Suppose -2*l = -2*x + x - 302, 5*x - 4*l + 1540 = 0. Is h\/(8\/(x\/(-9))) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 174\/261*(-1)\/2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**2 - 17*p + 69. Let s(j) = -11*j - 49. Let b be s(-5). Let t be f(b). Solve 0 = -t*u - 3 + 15 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 divided by -464\nAnswer: 3\/232","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.9 + -534.01.\nAnswer: -533.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 17853 (base 10) to base 2\nAnswer: 100010110111101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*i = 14*i + 28*i - 227616. List the prime factors of i.\nAnswer: 3, 2371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.01 - -0.01.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.2 - -0.1. Let a = 78944 - 78939. What is the nearest to t in 109, a, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence btet when four letters picked without replacement from {b: 2, p: 1, e: 1, t: 4, r: 3, n: 1}.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3855252 divided by 57.\nAnswer: -67636","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 2*t - 54 = 0. Let q = t - 14. Solve 3*p + 6 = 3*j - 0, 5 = -q*p + j for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -52b (base 12) to base 5.\nAnswer: -11010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.34 - 0.1. Let c = 0.16 + i. Let r = 359 + -362. Put r, -1, c, 2\/17 in increasing order.\nAnswer: r, -1, 2\/17, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 44, 42, 40, 38, 36?\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -47531, -47511, -47491, -47471?\nAnswer: -47451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -1\/2 (b) 0.099 (c) 0.4 (d) 3\/5 (e) 1\/6 (f) 163\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -0.1658, 3\/2, 5, -3 in decreasing order.\nAnswer: 5, 3\/2, -0.1658, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 241973467?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (24111\/8930*4\/27)\/((-19)\/5)?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c**4\/5 + 146*c**3\/5 + 14*c**2\/5 - 202*c - 876\/5 = 0 for c.\nAnswer: -2, -1, 3, 73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**2 + 11*m + 20. Let p be h(-9). Solve -5*f - p*r = r - 26, 2 = r for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2100010220220 (base 3) in base 6?\nAnswer: -42350040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -2*g**2 + 101*g. Let h(o) = 71*o. Let s(b) = 16*b. Let f(y) = 2*h(y) - 9*s(y). Calculate r(f(l)).\nAnswer: -8*l**2 - 202*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**2 + 5*t + 4. What is d(-3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2 or 2\/10777577?\nAnswer: 2\/10777577","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 21.7 + -22. Sort -43, d, -3 in decreasing order.\nAnswer: d, -3, -43","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/27 - (-400)\/144.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(156)\/(sqrt(108) + sqrt(12))*-5)**2 + -5.\nAnswer: 245\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 12589353 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -146\/7*y + 148\/7 - 2\/7*y**2 = 0. What is y?\nAnswer: -74, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 58*f - 45*f + 52 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes after 5:20 AM?\nAnswer: 9:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17 - -20. Solve -3*y + 0 + i = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.42, -3, -0.06, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -74c07 (base 13) to base 16\nAnswer: -3373e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (16 - 17) + (2 - (-5 - -3)). Suppose -5*x + 18 = x. Suppose 3*n = -4*o - 1, 0 - 9 = x*n. Solve -3*a = -o*c - 20, -5 = w*c - 5*a + 27 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:51 PM and 11:29 PM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 115*i - 1265. Let l be x(11). Solve 4 = 4*h + 2*y, l = h - 4*y + 2*y - 6 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1134 and 48.\nAnswer: 9072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(2\/(-7))*-1. Suppose 7 + 7 = -k*l. Let g be ((-6)\/35)\/(6\/(-20)). What is the smallest value in l, -0.3, g?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -15156 != -15156?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.4, 2, 1\/2133?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u = -m, -3*m + u - 26 + 13 - 9 = 33 for m.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the first derivative of z**4\/4 - 2*z**3 - 5*z**2\/2 + 2*z + 5. Let n be l(-7). Let x be (n\/(-28))\/(2\/14). Round x to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 4 - 3)*(535 + 12*l**4 - 2*l**3 - 535) in the form j*l**2 + i*l**3 + s + n*l + y*l**4 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16519\/6060 - -176\/101. Calculate the common denominator of z and -119\/156.\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 105, 104, 117, 150, 209, 300, 429, 602?\nAnswer: 825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 3, 4\/7, 5, 32, 3.5?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -49 - -64. Suppose 2 + 1 = -q - t, 0 = -3*t - s. Suppose 122 = -q*x + 4*x - 2*m, -5*m = -5. Is 31 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(44)\/sqrt(64) - -2*(sqrt(66)\/sqrt(6))**2) + -4 + -6*sqrt(44)\/(sqrt(1200)\/sqrt(12)).\nAnswer: -19*sqrt(11)\/20 + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 3*o**2 + 3*o**2 - 5*o**2 + 47 + 2*o. What is the tens digit of f(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/4*8\/(-6). Let w(z) = z**3 + 4*z + 8 + 2*z**2 - 3*z - 9 - z**2. Determine w(b).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1351698, 1351696, 1351694, 1351692, 1351690, 1351688?\n\"Answer: -2*f + 1351700","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.06 + -0.06. Suppose 0 = u + 5, -z + 46 = 2*u + 8. Let d be (3\/12)\/((-426)\/z + 7). Which is the closest to o? (a) d (b) -0.4 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 5094 = -q, 21*b - 22*b - 10202 = 2*q. What is q rounded to the nearest ten thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-40)\/(-16))\/((40\/10)\/(-24))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 13761.35t?\nAnswer: 13761350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11538 by 18.\nAnswer: -641","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 0.8855968 weeks?\nAnswer: 148.7802624","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, -4221, -6, -5, -0.5?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1022076 divided by 3.\nAnswer: 340692","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 227*i = -29*i - 101189 + 294725. What is the highest common divisor of i and 348?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 19, 77, 26 in ascending order.\nAnswer: 19, 26, 77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*d**2 - 2*d**2 + 2*d**2 - 6*d**6 + 16*d**6 wrt d?\nAnswer: 1200*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 2*k + 2. Let s = -50 - -48. Let j(p) = 1. Let h(m) = s*o(m) - 2*j(m). Find the first derivative of h(g) wrt g.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -8\/21, -5, -49, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t**2\/9 - 142330*t\/9 - 427152 = 0 for t.\nAnswer: -27, 71192","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3004812 rounded to 3 dps?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the first derivative of j**5\/20 + 3*j**4\/8 - 11*j**3\/12 - 15*j**2\/2 + 25*j + 16. What is d in y(d) = 0?\nAnswer: -5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 17032 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000322 rounded to four decimal places?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1120)\/80 + 9*1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 904491?\nAnswer: 3, 7, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15)\/(sqrt(720) + ((sqrt(720)*-2 - sqrt(720)) + sqrt(720) - sqrt(720))) + (sqrt(18)\/(sqrt(6)*1) - -6*(sqrt(3) + sqrt(3) + 0)))**2.\nAnswer: 96721\/192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 5*p + 32 = 0, -6*c - 2*p + 13 = -3. Suppose 12*a**4 + c*a**3 - 20\/3*a**2 + 4\/3*a + 0 = 0. What is a?\nAnswer: -1, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -2045*v**2 + 7772*v - 32. Determine h(4).\nAnswer: -1664","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 - (-18 + (-41 - -41))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -331 times -0.3?\nAnswer: 99.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-84)\/(-98))\/(6\/28). Suppose -2 = -g*k - i + 2, 5*i = -20. Factor 2\/13*a**k + 14\/13*a**3 + 22\/13*a**4 + 0 + 0*a + 10\/13*a**5.\nAnswer: 2*a**2*(a + 1)**2*(5*a + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5035 + -7649\nAnswer: -2614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0, -24388, -3 in descending order.\nAnswer: 1, 0, -3, -24388","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 121*c**2 + 12*c + 6. Is z(10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 161033 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-306)\/4 - 1)*(38080\/350)\/272?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -9 - 8*b + 14*b - 5*b + 0*b. Let z be w(17). Calculate the smallest common multiple of -10*2\/(-8)*z\/2 and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14506 is divided by 415.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**3 - 8*b**2 - 5*b + 7. Let x be c(-7). Let s(a) be the third derivative of a**4\/24 + 5*a**3\/6 + 10*a**2 + 13*a. Give s(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-87*c**3 + 2452*c**2 - 120*c**3 - 2454*c**2)*((1 + c - 1)*(-1 + 2 + 2) + 10 + 4*c - 10 + 1 - 2*c - 1).\nAnswer: -1035*c**4 - 10*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**2 - r - 1. Let l(z) be the second derivative of z**4\/4 + 5*z**3\/6 + 3*z**2\/2 - 4*z - 4. Let o = -14 + 13. Calculate o*l(g) - 4*u(g).\nAnswer: g**2 - g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4603995431?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*j**2 - 2*j**2 + 3*j**2 + (-2*j + 0*j + j)*(4*j + 4*j - 4*j).\nAnswer: -5*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56 + 174*w + 1 - 11.\nAnswer: 174*w + 46","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6683\/8 + 99737\/120. Find the common denominator of j and (-254)\/72 - (-1)\/(-2).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 3*o + 10. Suppose -5 = 2*t - p, 0 = t - 5*t + p - o. Suppose t = k + 2*k. Solve 4*q - i - 14 = k, -6 = -q + 4*i + 5 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 25 + -21. Let d = 183 - 183. Let z = -3 - -5. Sort d, g, z in increasing order.\nAnswer: d, z, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 516770 and 930.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.01 (b) -3 (c) 184 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 57936036 divided by 9656006\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**23)**(11\/4))**19 assuming s is positive.\nAnswer: s**1254","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12 + -38\/3. Let f = 46 + -48.06. Let m = 0.06 + f. What is the third biggest value in t, m, 2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:25 AM and 1:19 PM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.019 + 0.017. Let p = u + 0.062. Let n = -2 + 4. Which is the nearest to p? (a) 2\/11 (b) -2\/3 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 285534039?\nAnswer: 3, 7, 1567, 8677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4116 = 19*b - 216. Let i = -226 + b. Solve -i*p - 79 = -87 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 - -1001100100110000110?\nAnswer: 1001100100110001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(-1\/6)*a)\/a*a)\/((a\/a**(-26))\/a*a))**47 assuming a is positive.\nAnswer: a**(-7379\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b47 (base 13) to base 10.\nAnswer: -1918","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/148005 and 38\/11955.\nAnswer: 117959985","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -36 + 262*r**4 - r**5 + 271*r**4 + 120*r**3 + 125*r - 569*r**4 - 184*r**2 + 5*r**5 + 7*r = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36\/8*(-6)\/(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 98*w*z**3 + 4858*w - 6275655*z**3 wrt w?\nAnswer: 98*z**3 + 4858","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -352235 (base 6) to base 4.\nAnswer: -13121333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 83\/8524 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*(u**14*u)\/u)**32 assuming u is positive.\nAnswer: u**480","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:16 PM and 4:02 AM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*p + 9*p - 4*p)*(-116 + 9*p + 116).\nAnswer: 153*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**2 - 6*m + 5. Let c = -11 + 11. Suppose c = 4*b + 4*g - 5 + 1, -4*b - 3*g = -8. Determine s(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -939*q**3 - 686*q**3 + 141*q**3.\nAnswer: -1484*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -50\/21 + 8\/3. Let l be (9\/(-36))\/((-66)\/24 + 2). What is the closest to l in -1\/3, -8, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -1\/5, -40, 1 in ascending order.\nAnswer: -40, -1\/5, 1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 5*l + 4. Let v be c(5). Suppose 5*m + 4 = v. Find the second derivative of 329 - 7*q**5 + m*q - 329 wrt q.\nAnswer: -140*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 divided by 51779?\nAnswer: 15\/3983","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*l**3 + 7*l - 7*l.\nAnswer: 10*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 20 + -11. Suppose -t*s + 52 = -5*s. Does 11 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(99)\/((sqrt(144) + sqrt(9))*6).\nAnswer: sqrt(11)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2256 - -2254. Which is the nearest to 0.1? (a) 1\/4 (b) s (c) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10392 divided by -28480?\nAnswer: 1299\/3560","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.713 - 0.401. What is z rounded to 1 dp?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 81856?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**2 - 13*y. Let x(t) = -t**3 - t**2 - t + 13. Let r be x(0). Let l be p(r). Is l less than 2\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 + -4. Let s be (-1 - 78\/(-30))\/((-12)\/(-30)). Suppose -2*z - 6 = z - 3*h, s*z + l*h = 10. Which is the second smallest value? (a) -1 (b) -1\/2 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -2*z**2 - 3111*z - 1020363. What is h(-470)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 21161\/10 + -2118. Let z be ((-4)\/16)\/(1\/(-4)). What is the common denominator of f and z + (-1)\/((-4)\/33)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -2*m. Suppose -p + 4 + 8 = m. What are the prime factors of p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -21 - 6*c - 24 + 51 - c - c**2. Give x(-8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**3 - 4*m**2 - m + 2. Let g = 250 + -253. What is h(g)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1314, -4666, -10250, -18066, -28114, -40394?\nAnswer: -54906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 61*m**2 + 18. Let n(g) = -9*g - 1. Calculate l(n(z)).\nAnswer: 4941*z**2 + 1098*z + 79","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.43 + 0.03. Let n = w + -1.6. What is the biggest value in n, 1\/5, -2\/15?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 1.69 (b) 2\/3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 8*y**2 - 3. Let h(q) = -2*q. Determine i(h(p)).\nAnswer: 32*p**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12, 26, 54, 102, 176, 282, 426, 614?\nAnswer: 852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*s + 3*s - 4*s)*(-2 + 2 + s)*(0 - 2 + 0) - 3*s**2 + 3*s**2 + 3*s**2.\nAnswer: -9*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 34573 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 732023 is divided by 122001?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6846?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 7*(4\/14 - 0). Suppose -2*h = -b + 4, g*b - 3*h = -8*h + 8. Solve b*a = -9 - 3 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**2 + g - 2. Let w be -11 - (-7 + (0 - 0)). Let n(r) = -r**3 - 102*r**2 + 4*r + 129. Let y(b) = w*i(b) + n(b). Differentiate y(k) with respect to k.\nAnswer: -3*k**2 - 212*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.16 and -0.02504?\nAnswer: -0.0040064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/1867 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11110010110 (base 2) to base 8.\nAnswer: -3626","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 478050 + -222735. Let l = -662066 + w. Let u = -1593249 + l. What is u rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2060 != -2055?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 36759664 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 67*a*i**4 - 23*a*i**3 + 109986*a*i**2 + a*i - 2*a - 490*i**4 - 15*i**2 wrt i?\nAnswer: 1608*a*i - 138*a - 11760*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -2645 - 10*j + 7936 - 2627 - 2644. Give v(4).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*l + 3*d = 65, -9*l + 11*l - 3*d = -25 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and -4234612.\nAnswer: -846922.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*s - 89 = 71*s - 59*j + 54*j, s - j = j - 53 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0\/(-2 - 1\/(-1)). Suppose 2*f - 356 = 3*g, b = -0*f + 4*f - 4. Let t = 37 - g. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2*((-26)\/((-208)\/(-126)))\/((-6)\/4). Which is the nearest to g? (a) -2\/9 (b) 7 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 2*a. Suppose 32 = -0*m + 4*m. Suppose -u = -4 + m. Sort u, -2\/9, a.\nAnswer: u, -2\/9, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 4*r**3 - 2*r - 1. Suppose 3*d - 12 + 1 = -u, -d = -2*u - 6. What is c(u)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1317026 * 3\nAnswer: 3951078","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 36681662 to the power of 1\/3, to the nearest integer?\nAnswer: 332","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*a**2 + 3*a**2 - 4*a**2)*(2*a - a - 4*a) + (a - 3*a + 4*a)*(-4 - a**2 + 4) to the form s*a**2 + l*a + b + q*a**3 and give q.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 339\/14 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2\/7765 + 489179\/62120. Suppose -5*k + 161 = -2*x, 4*x - 157 = -5*k - 14. Find the common denominator of 435\/(-1276)*k\/(-10) and h.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -33\/356320 and 0 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*z - 30 = -14*z. List the prime factors of 4\/z + (-573)\/(-5).\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -800, -805, -814, -827, -844, -865, -890?\n\"Answer: -2*o**2 + o - 799","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2*(-1)\/2*567\/756. Let s(i) = -2*i**3 - 6*i**2 - 4*i - 2. Let u be s(-2). Which is the third biggest value? (a) 5 (b) -5 (c) m (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 59.11 - 59. Let h = p + -0.31. Which is the closest to 1? (a) 0 (b) h (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 4, u: 1, h: 1, t: 2, s: 2}. Give prob of picking 2 t.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3*(-2)\/6)\/1. What is the tens digit of (0 + -1)*27\/h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qz when two letters picked without replacement from {c: 1, q: 16, z: 1}.\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -5*k + 711 - 2220, 3*a - 2326 = -5*k. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ouuo when four letters picked without replacement from {o: 2, u: 5}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 279.3 + -274.3. Sort p, 1\/3, 11, -2 in decreasing order.\nAnswer: 11, p, 1\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 5 = 2*a, 4*n + 3*a = -10 - 3. Let s(b) = 36*b**2 - 1. Let r be s(n). Solve -2*m + t - 15 = 0, m + 3*m + r = 3*t for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 greater than 1089607?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What is fourty-six fifths of a millennium in centuries?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6158916 is divided by 19?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 503, 1007, 1511, 2015, 2519?\nAnswer: 3023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -m**4\/8 - 13668795*m**3\/8 - 23920383*m**2\/2 - 54675155*m\/2 - 20503182 = 0?\nAnswer: -13668788, -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 8, -15, -58, -127, -228, -367, -550?\n\"Answer: -r**3 - 4*r**2 - 4*r + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*p = -9*p - 27*p - 2196 - 576 for p.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 79 - 77. Solve -2 = -l*k + 2*u, -2 - 3 = -2*k + 3*u for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*m + 14 + 8*m - 23*m - 66 - 285.\nAnswer: 2*m - 337","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 11*b. Let w(n) be the third derivative of 0*n**3 + 1\/24*n**4 + 80*n**2 + 0 + 0*n. Give w(c(x)).\nAnswer: 11*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 155 is divided by 53?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 65 and 403.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 2*d - 3262 = 0, -a - 2*d + 1627 = d. Suppose 0 = -6*t + a + 2801. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 198, 762, 1700, 3012, 4698, 6758?\nAnswer: 9192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 16*f - 94. Let m(a) = -3*a + 11. Let t(s) = -c(s) - 7*m(s). Let d(i) = 3*i. Give t(d(b)).\nAnswer: 15*b + 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100001010000110000 - 10?\nAnswer: 100001010000101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9015\/8 + 531901\/472. Sort -4, -12\/5, t, 2\/11, 1\/3 in increasing order.\nAnswer: -4, -12\/5, t, 2\/11, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 20 + -19.7. Let m = 0 + -0.1. What is the biggest value in w, 5, m?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0015427731 rounded to 4 dps?\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 + -4117578?\nAnswer: -4117577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**4 + w**3 + w - 1. Let q(i) = 104*i**4 + 4*i**3 - 16*i**2 + 4*i - 6. Let g(n) = q(n) - 4*z(n). Find the third derivative of g(o) wrt o.\nAnswer: 2400*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 661 is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -21*k + 588. What is p(31)?\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 6*b. Let t be -1 + 2 - (-6)\/(-1). Let s(d) = -3*d. Let k(z) = 10*z. Let h(o) = -k(o) - 3*s(o). Give t*h(w) - j(w).\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8.4 + 8.8. Suppose h - q = 2*q - 7, 14 = -2*h - 2*q. Put z, 0.5, h in decreasing order.\nAnswer: 0.5, z, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of s**5 + 1130*s**4 - 1348*s**3 - s**2 + 3158026*s?\nAnswer: 60*s**2 + 27120*s - 8088","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2293242 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 20668490641 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -16254328*j**3*n**3 + 21*j**3 + 8*j*n**3 - 27*j*n**2 - n**2 - 144*n + 10 wrt n?\nAnswer: -97525968*j**3 + 48*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 (base 11) in base 4?\nAnswer: -113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 949828.213102 + 51.2.\nAnswer: 949879.413102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let 44*p**5 - 385934*p**4\/3 - 2755378*p**3 + 2416552*p**2 + 20095624*p\/3 + 1036640 = 0. Calculate p.\nAnswer: -22, -12\/11, -1\/6, 2, 2945","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*l + l - 5*l)*(2 - 3 - 1) + l - 2*l + 0*l)*((-1 - 2 + 0)*(3*l - l - l) + 12*l + 5*l - 11*l).\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, w: 1, y: 1, v: 1, o: 1}. What is prob of sequence og?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8463 and 420.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 16937575561 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v = 3*v + 36. List the prime factors of ((-52)\/10)\/(v\/(-30)).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4956 and 7901516?\nAnswer: 1652","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 6*v - 30 = 0. Suppose 31*h = v*h + 3. Let s = -56 + 80. What is the highest common divisor of s and h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 14 - 15. Let v be (a*2 - 14\/(-14)) + -5. Let l(w) = w**3 + 7*w**2 + 4*w - 11. Give l(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3501 - 3500 + 83*x - 9*x)*(3*x + 7*x**3 - 3*x).\nAnswer: 518*x**4 + 7*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*1*(900\/(-8))\/(-25).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = o - 24, 4*c - 13 = o + 8. Let q(j) = -1. Let l(h) be the second derivative of -5*h**4\/12 - 15*h**2\/2 + 4*h. What is o*l(p) + 15*q(p)?\nAnswer: 5*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -98.7 + 99. Let c = -8 + 6. Sort -3, c, i.\nAnswer: -3, c, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 2) in base 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2835 = -2*n + 3*x, -5*n + 5*x + 10942 = 3852. Does 46 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:56 PM and 12:20 AM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 4*x. Let a be f(3). Let t = 0 - 0. Suppose -g + t*g = -24. What is the highest common factor of a and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -2 + (sqrt(128) + -2)**2 - (-3 + -2*sqrt(288)*-2)**2.\nAnswer: -4485 + 256*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 20? (a) 4 (b) -2\/9 (c) -3\/5 (d) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(78) - 2*-1*sqrt(78))*3)\/(sqrt(6) + (sqrt(6) - (sqrt(6) - sqrt(12)\/sqrt(128)) - sqrt(6)) + sqrt(294)*-3).\nAnswer: -432*sqrt(13)\/167","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 297328411 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b + 5. Let p be i(6). Let a(l) = l**3 - 12*l**2 + 11*l + 15. Is 13 a factor of a(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*d - 5 = 23*d. Let p be d\/(-3)*36\/(-4) - -1. Suppose -b - 2*z = -4*b + 4091, -b - p*z + 1345 = 0. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 143 + -143.99. Let h = k - -0.9485. Round h to three dps.\nAnswer: -0.042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -4*q - 1. Let a be f(-1). Let t be -3*(8\/(-6) + 2). Let b = 50 - 51. Sort b, a, t.\nAnswer: t, b, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 45 - 40. Calculate the remainder when 14 is divided by u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -6\/11 (b) -1\/207 (c) -0.1 (d) 5 (e) -1 (f) -1\/30\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -59, 1\/2, -78\/7 in descending order.\nAnswer: 1\/2, -78\/7, -59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 95 divide 10572360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes after 2:21 AM?\nAnswer: 4:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes after 1:23 AM?\nAnswer: 11:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u - 5*j + 59, -u + 2*j = -24 + 8. Suppose 4*n - 5*s = -0*n + 25, -3*n - s = -33. Calculate the lowest common multiple of u and n.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-72)\/102)\/(4*(-29)\/2958).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32 + 28 + (2 - 4) + 10.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 29*c. What are the prime factors of s(8)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*z - 51*z - 98 = 18*z + 126 for z.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*r - 11*r - 8*r = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*m**3 + 0*m**3 - 53*m**3 + 59*m**3.\nAnswer: 11*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 269?\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (131 - 2*i - 131)*(3*i**3 + 3*i**3 - i**3) - 42*i**4 + 50*i**4 + 19*i**4 to c + v*i + x*i**3 + f*i**4 + g*i**2 and give f.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 117 = 15. Does 18 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 3\/40 of a kilometer?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 5*j**2 + 4*j**2 + 3*j**2 - j**2. Let m(a) = 4*a. What is m(n(v))?\nAnswer: 44*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 776 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: Expand j - j - 2*j + (0 - 1 - 1)*(2 - 2*j - 2) - 3*j + 11*j + 6*j - 4*j + 4*j - 2*j + (-5*j - 14 + 14)*(-5 + 5 - 1) + 2*j + 0 + 0.\nAnswer: 21*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - -9) + 4009 + -3977.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*y - 23 - 823. Let x(z) = -49*z + 5. Let g be x(2). Let s = y + g. Sort s, -5, 16 in descending order.\nAnswer: 16, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 s when two letters picked without replacement from {h: 1, n: 1, t: 1, z: 2, w: 2, s: 2}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-205)\/25 + 8 - (-11)\/5.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - -2643487447422.\nAnswer: 2643487447422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + (5 + sqrt(405)*2)*-3)**2 - ((2*sqrt(405) + 4 - (sqrt(405) + -5*(sqrt(405) + 0))) + -4)**2)*6.\nAnswer: 726 + 7128*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 185 divide 3587539?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -392339.\nAnswer: -4\/392339","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/39928111 or -1?\nAnswer: -2\/39928111","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(((sqrt(484)*2)\/sqrt(11))\/sqrt(4) + (sqrt(121) - ((sqrt(121) - 4*(sqrt(121) + -1*sqrt(121))) + sqrt(121)))\/sqrt(11)).\nAnswer: -sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 1 y when three letters picked without replacement from {v: 1, e: 4, f: 4, y: 3, b: 1}?\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -21*f + 185. Give a(9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 34\/709185 and -83\/2363950?\nAnswer: 7091850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - 16*a + 4*a + 8 = -18*a - 0, 0 = 2*a + 2 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -2*q**2 + 749*q - 6789. Determine u(365).\nAnswer: 146","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3157148088.\nAnswer: 2, 3, 787, 55717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1064847083 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/6*54\/10. Are f and -3 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*k + 14 + 23 = 10 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -3*a + 4*a. Let n(f) = f - 4. Let o be n(6). Let w be (2 - 0)*(4 - o). Is a equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 13732055?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -363*d**5\/7 + 2112*d**4\/7 - 1719*d**3\/7 - 6642*d**2\/7 + 5184*d\/7 + 7776\/7 = 0.\nAnswer: -12\/11, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the third derivative of 0 - 4\/3*d**3 + 0*d - 2*d**2 + 1\/8*d**4. Is j(13) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*k - 75*k + 225*k - 150*k**2 - 113*k.\nAnswer: -150*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/((-14)\/(-6)*(-24)\/168). Solve -t*z + 19 = -4*s + 9, s = 5*z + 6 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 411*v**2 + 14798*v + 76. Calculate z(-36).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 5884.7553 seconds?\nAnswer: 0.06811059375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -115847 - 132673 - 308106 = -58*u. What is the highest common divisor of 21 and u?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 431808 and 858?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mlmskmkjikl. Give prob of sequence jlkm.\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/39 < 565\/12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 80352 and 1280.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 110122120220111 + -10?\nAnswer: 110122120220101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(126)\/(-1*sqrt(9)))\/sqrt(2).\nAnswer: -sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10963 + 32918\/3. Let z(x) be the first derivative of 17 + 0*x + b*x**3 + 12*x**2. Find the second derivative of z(a) wrt a.\nAnswer: 58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = i + 28, b = 3*b - 5*i - 25. Suppose b*c - n = 105, -2*c + n + 21 = -c. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -96*x**3 + 2*x**2 - 4*x - 26. Let w be q(-3). Suppose 8*u = w - 1068. What is the remainder when u is divided by 39?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b - 2. Let o be s(-8). Let x = 10 - o. Put x, 0, 3 in decreasing order.\nAnswer: x, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -42 + 174. Is h a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 139992\/722 - (-2)\/19. Let d = q - -4. What are the prime factors of d?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**2 - 4*b + 1. Let d be v(-3). Suppose 3*i = -d*i + 3626. Suppose -8*z = -138 - i. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10*l*m**2 + l*m + 34922344*l + 5283*m**2 - 30*m with respect to m.\nAnswer: 20*l*m + l + 10566*m - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.9 - 0.1. Let j = -163 + 162. Which is the closest to j? (a) y (b) -0.5 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -2*b + 8*b**2 - b**3 - 2*b - 4*b + 2*b**3 + 10. Let o be p(-9). Suppose 2*g - 5 = o. Solve 0 = -g*t - t + 16 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 217 + -297. What is the common denominator of 27\/40 and (-297)\/(-104) + 10\/v?\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6 - 13542\/30)*-5 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-23 - -13) + 24 - (120 - 191)?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 182, -31, 5, 4 in increasing order.\nAnswer: -31, 4, 5, 182","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + 4 = 5*w - 16, 0 = 3*w for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-385)\/231*9\/5. Let h = 31 + -22. Let o = h - 9.2. Which is the nearest to 0? (a) -2 (b) w (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -q + 56, -2*q - 4*v = v - 123. Suppose 3*r = q - 14. Suppose -g - r = -5*s, s - 3*g - 9 = 8. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 249*o - 6543 = -2458 + 2140 for o.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1038344 to the power of 1\/2, to the nearest integer?\nAnswer: 1019","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*r + 4 = -29*r + 54*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-8)\/(-28) - 4\/14. Solve -d - 4*h - 6 = i, -d - h + 0*h = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*o**2 - 229*o**3 + 42*o**3 - 84*o**3 + 13 + 3*o**3 - 14 in the form v*o**3 + j*o + b*o**2 + q and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is a + -7b2a8d?\nAnswer: -7b2a83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 752, 2340, 4986, 8684, 13428?\n\"Answer: -z**3 + 535*z**2 - 10*z + 228","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1500 - 8*p**3 + 1500.\nAnswer: -8*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 28671 or 57339\/2?\nAnswer: 28671","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 4, 5, 42\/11, -0.065?\nAnswer: -0.065","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -42953a - -355?\nAnswer: -4291a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the third derivative of 17*g**4\/12 - 11*g**3\/6 + 3*g**2. Let m be o(3). Let p = -73 + m. Calculate the least common multiple of 22 and p.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4 + -5)\/((-1)\/53). Let w = -125 - -178. What is the second derivative of -f*x**2 + 5*x**5 + w*x**2 - 3*x wrt x?\nAnswer: 100*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -8 + (-57 - -61)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the first derivative of l**5 - 4*l**2 + l - 16. What is the second derivative of m(u) wrt u?\nAnswer: 60*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2998*s + 0*s**3 + 11*s**3 + 2948*s.\nAnswer: 11*s**3 - 50*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - g = -4, h - 5*g + 1 = -3*h. What is the lowest common multiple of 66 and h?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*x**2 + 2 - 2 + 3*x**3 + 0*x**3 in the form t*x**3 + m + i*x**2 + a*x and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + (-2)\/(-5))\/((-18)\/(-90)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2195 is divided by 244?\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 29561 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the third derivative of 0 + a**2 + 0*a**4 + 0*a**6 + 5\/6*a**5 + 20*a + 0*a**3 + 29\/42*a**7. What is the third derivative of y(r) wrt r?\nAnswer: 3480*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 70*o - 2516. Give s(36).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, z: 14}. What is prob of picking 2 z?\nAnswer: 13\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 99932?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 10) to base 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 21 - -44. Calculate the greatest common factor of s and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -20573*c + 82322. Calculate u(4).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes after 10:32 PM?\nAnswer: 12:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -2*u**2 + 6*u. Let z be n(2). Suppose 15*l - 17*l - 14 = -2*c, -z*c - 4*l = -52. Solve c*w - 2*w + 24 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18*g**3 + g**3 + 6*g**3 + 2*g**4)*(-2*g - 5*g + 4*g)*(1 + 3 + 0).\nAnswer: -24*g**5 + 132*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2 + 2*m**5 + (-2*m**4 + 3*m**4 + m**4)*(2*m - 2 + 2) - 13*m**5 + 6*m**3 - m**3 - 3*m**3.\nAnswer: -7*m**5 + 2*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 365687859 to the power of 1\/2, to the nearest integer?\nAnswer: 19123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -361 + 365. What is the third derivative of -240*f**2 + 484*f**2 - 304*f**2 + 35*f**m wrt f?\nAnswer: 840*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3776 is divided by 332.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 299 - 291. Suppose 2*u - q*u = -12. Let x(l) = -3*l**3 - 5. Let p(b) = -b**3 - 2. Calculate u*x(t) - 5*p(t).\nAnswer: -t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -107*r. Let q(i) = 5*i - 4*i + 3*i - 6*i. Determine q(c(u)).\nAnswer: 214*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + -4 + -29 + 57 + -10.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 0*f = 0. Suppose j + 1 = -2*w, w - 10 + f = -4*j. Solve 15 + 0 = j*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 460*y + 23430*y**3 - 460*y.\nAnswer: 23430*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-865680)\/(-18))\/10 - (-5)\/(-15)?\nAnswer: 3, 7, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -2\/3 - 2*h - 2*h**2 - 2\/3*h**3 = 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11 + -9. Solve -5*i = -5*b + 15, -b + g = -0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 32184?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the second derivative of 11*d**6\/10 - 32*d**3\/3 + 39*d. Find the second derivative of b(s) wrt s.\nAnswer: 396*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -227*v**3 + 3*v**2 wrt v.\nAnswer: -1362","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 943590, 1887159, 2830728?\n\"Answer: 943569*q + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**3 - 4*r**2 - 7*r + 7. Let s = -143 + 148. What is g(s)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 151903584, 151903585, 151903586, 151903587, 151903588, 151903589?\nAnswer: 151903590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tkm when three letters picked without replacement from ddgmktkg?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-162)\/54 - 11\/33)*3*6.\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 4*j + 121 = 0, -4*u - 3*j = 38 + 58. Let y be 16\/42 + 57\/u + 3. Let z = -1.2 + 1. Which is the closest to -2\/9? (a) z (b) y (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3 - 48\/(-14) - (-5 + (-2569697)\/(-91)). Round g to the nearest one hundred.\nAnswer: -28200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21 - 32 + 12 + 24*a**3.\nAnswer: 24*a**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 6 - 45157?\nAnswer: -45151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 p when two letters picked without replacement from ogcgocpoop?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l - 13 = d, 2214*l = -2*d + 2217*l - 22 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -21535, -43069, -64603, -86137?\n\"Answer: -21534*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the first derivative of 2*m**5 + 4*m**4 - 8*m**3\/3 + 44. Find d, given that w(d) = 0.\nAnswer: -2, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-3)\/z*z*z\/(z*(z**(-3\/5)\/z)\/z))**(-1\/89))**(6\/5) assuming z is positive.\nAnswer: z**(12\/2225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t + 3. Let s be v(0). Suppose 0 = 3*q - 4*q + s. Suppose 2*y = -3*u + 1, q*u = 4*y - 9 - 2. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/101 and 89\/4?\nAnswer: 404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10*(1505\/(-1720) - 75\/24)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2186\/13 + -168. What is the closest to 1\/3 in -11\/3, a, 1\/7?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.05 and -2404.\nAnswer: 120.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -7*h + 336. Let c(w) = -5*w**3 - 53*w**2 - 110*w + 36. Let z be c(-9). Calculate the highest common divisor of z and h.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 135906 to the nearest one thousand.\nAnswer: 136000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-4 + sqrt(112) + sqrt(112)*3 + sqrt(112)))**2.\nAnswer: -160*sqrt(7) + 2816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 16\/(-54)*3750\/(-2500)\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/32 and 87\/(-8) + (-120)\/96?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**3 + 5*z**2 + 2*z - 7. Let k be h(5). Suppose 5844 = k*s + s. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-12)\/(-36) - -1*(-1)\/(-3). Let l = -2 - -2.1. Sort u, l, 0.\nAnswer: 0, l, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 42 = 2*f, -12*f + 13*f + 12 = 4*k. Let x be (-4)\/18 - 6676\/9. Calculate the remainder when x\/(-18) + -2 - (-8)\/f is divided by 15.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -2 + 5*f**2 - 10*f + 0*f**2 - 6 + f**3. Let j be b(-6). Is 19671\/12 + (-4)\/j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the second derivative of -x - 3\/4*x**2 + 1 + 1\/24*x**4 + 1\/6*x**3. Solve p(b) = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -213*z + 578 = 202*z - 1497 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmmm when four letters picked without replacement from {m: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*q**2 + 11*q**2 - 2*q**3 + 12*q**2 - 10*q - 1 - 10*q**4 - 27*q**2 as g*q + a + p*q**3 + t*q**4 + y*q**2 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**3 - 5*b**2 - 42*b + 190. Calculate v(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes after 9:59 AM?\nAnswer: 4:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 316723678?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 18*b**4 + 12*b**3 - 4*b**2 + 2*b - 418. Let v(m) = m**4 + 4*m**3 - m**2. Let j(q) = -d(q) + 4*v(q). Find the second derivative of j(y) wrt y.\nAnswer: -168*y**2 + 24*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4\/27, -4\/7, -0.4?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2, 3\/1597, -0.013?\nAnswer: -0.013","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cevemtnttcctt. What is prob of picking 2 c and 1 m?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1ab247b3 - -3?\nAnswer: -1ab247b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 32 = -3*h. Are 7 and h equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 213709, 213711, 213713, 213715, 213717, 213719?\nAnswer: 213721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*y**3 + y**2 - 2*y**2 + 8*y**3 + (1 + 0 + 0)*(y**3 + y**3 - 5*y**3).\nAnswer: -2*y**3 - y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add -674.023 and -26.0595803.\nAnswer: -700.0825803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -3, -17, 4\/9, -13.9 in increasing order.\nAnswer: -17, -13.9, -3, -1, 4\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the third derivative of 0*z**3 - 4*z**2 + 1\/20*z**5 + 1\/4*z**4 + 0*z + 0. Solve g(v) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 2\/3741 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 34488, 202, 1\/5?\nAnswer: 202","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = 7*m, 5*x + 2*m = 7 + 35. Calculate the greatest common divisor of x and 755.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 77 and 231?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -38 + 35. Calculate the remainder when (r - 27)*(-16)\/10 is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-5)*f*f\/(f**16*f))\/((f*f\/(f**(-14)*f))\/(f\/(f**13*f))))**(36\/7) assuming f is positive.\nAnswer: f**(-1728\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-6))\/((-43)\/((-14190)\/20))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1944)\/162 + 302\/25?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 110 = 4*z - 18. Suppose 4*c + 3*g = 2*g - 20, 4*g + z = -4*c. Let a(f) = f**2 + 2*f - 3. Give a(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-3\/5))**(-1\/17)\/(z**(1\/9)*z*z*z*z\/z**(4\/3)))**(2\/35) assuming z is positive.\nAnswer: z**(-4196\/26775)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3079?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 15*x**3 + x. Let g be t(-1). Let h(k) = k**3 - 10. Let y be h(0). Let d be ((-2)\/y)\/((-2)\/(-10)). Which is the nearest to d? (a) 1 (b) g (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1023311001 (base 4) in base 9?\nAnswer: 523043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - (-6 + 27)) + 3.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + -6*-1*-6*(4 + sqrt(448) + -1)*-2)*4)**2.\nAnswer: 3907584*sqrt(7) + 37878016","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 41132029 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88*i = 861*i - 7154 + 26479 for i.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**20\/u**(-40) assuming u is positive.\nAnswer: u**60","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + 6 + -1 + 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 50\/9449 and -89\/15462.\nAnswer: 170082","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -32*p**2 - 133 - 37 + 0*p + 749 + p - 2*p wrt p?\nAnswer: -64","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 2*j + 0*j = -39, 2*y - 2*j - 36 = 0. What is the remainder when 55 is divided by y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15 - 11. Let t(b) = -g + b**2 + 4. Let y(q) be the third derivative of q**4\/12 + 410*q**2. What is t(y(z))?\nAnswer: 4*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 809088627 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1800 and 375.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g\/(((g**(-4)*g)\/g)\/g))\/(g\/(g\/(g\/(g\/g**(-3)))))*(g**1)**(-2\/13) assuming g is positive.\nAnswer: g**(128\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1872808?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 8 = -2*x. Suppose 0*p - p = 0, 5*v = x*p + 5. Suppose -7*u + 2*a = -2*u + v, 3 = -3*u + 2*a. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 26 + -38. Let o be (7 + 2)\/((-2)\/x). What is o rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**4 + w**3 - w**2. Let l(s) = 5*s**4 + 2*s**3 - 2*s**2 + 2. Suppose 6 = 2*n + n. Let q(g) = n*y(g) - l(g). What is the derivative of q(f) wrt f?\nAnswer: -12*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 604206?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1, 5, 17, 43, 89, 161, 265, 407?\nAnswer: 593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10 and 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a litre in millilitres?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -2*g - 4*j, -2*g - 7 + 0 = -5*j for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 413 - 388. Suppose -20*b - 4*x = -v*b + 1558, -2*b + 2*x + 622 = 0. Is 6 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 789091386?\nAnswer: 2, 3, 101, 127, 10253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 4*c = -25. Let y be (4 - 1) + 88\/(-96). Let m = y - 67\/36. What is the nearest to 0 in m, 2\/25, c?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 321, 319, 317, 315?\nAnswer: 313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6067782 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (6\/(-21))\/((-355)\/70 - -5). Let p(z) = -9*z**3 - z**2 + 2*z + 1. Let s be p(-2). Suppose 5*r = 4*n + 128, -m*r - 3*n = -2*r - s. Is 7 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - 0) + (3 - -30) + -35 + 10.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2677 a factor of 649935445?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1550, -6068, -13614, -24194, -37814, -54480, -74198?\n\"Answer: -h**3 - 1508*h**2 + 13*h - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21 - 96 + 30)*(0 + 0 + 12*u)*(11 + 7 + 5).\nAnswer: -24012*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -117*s. Let d(c) = 11*c**2 + 154420*c + 154416*c - 308836*c. What is d(b(q))?\nAnswer: 150579*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + (2 - (-6 + 16)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.2442 and 4?\nAnswer: 4.2442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 2*f**2 + 9*f - 12. Suppose 0 = 16*n + 110 - 14. Let o be u(n). Solve -3*j = -o*d + d + 10, 2*d - j = 5 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*z + 0*z + 0*z + 2*z - 6*z.\nAnswer: -6*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + 16*z = 18*z, -3 = -7*h + 2*z for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ljllj. Give prob of picking 1 l and 1 j.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 190 = -41*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1293, 2559, 3809, 5043, 6261?\n\"Answer: -8*b**2 + 1290*b + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/31552377 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2767678706.\nAnswer: 2, 13, 8087, 13163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 8 = 0, -399 = 4*a - 5*a + 3*c. What is the highest common factor of 9 and a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/3*(-135)\/18\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3840)\/(-5280) - 1884\/(-132).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -16*b**5 - 4*b**4 - 4*b**3 + 4*b**2 + 18*b. Let i(h) = -h**4 - h**3 + h**2. Let x(k) = 12*i(k) - 3*r(k). Find the second derivative of x(s) wrt s.\nAnswer: 960*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25bc8c (base 15) to base 14\nAnswer: 352408","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -135411, -135401, -135389, -135375?\nAnswer: -135359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6539 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17847 = -5*n + 2*t + 840032, 4*n - 657760 = 4*t. Let j = n - 9435. Round j to the nearest 10000.\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 2 = q, 2*q - k = -2*k + 4. Suppose q*b = -4*i + 9 + 3, -4*i + 12 = 5*b. Solve 3*j - 2*j = b for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001110000011001100000110 - 110?\nAnswer: -1001110000011001100001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -786610 or -786319?\nAnswer: -786610","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 take away 20564668516.9?\nAnswer: -20564668514.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000820372 to six decimal places.\nAnswer: 0.00082","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (16 + -1)*(-2)\/(-6). Suppose -4*q - 3*o + 2 + 14 = 0, 0 = -w*o. Suppose 11 = 4*l - c, -3*l + q*c = -6*l + 13. Does 2 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -160959 and 0.056.\nAnswer: -160958.944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 25110 and 43505586.\nAnswer: 5022","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.2114 + -8.2594. Let n = 27.87 - u. Let y = n + -36. Round y to two decimal places.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 13*f**2 - 3*f + 2. Let j be m(2). Suppose 3*q = -4*a + 3*a + j, 4*q = -8. What is the remainder when a is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -2*p**2 - p + 2. Let j be a(-2). Let m(y) = -4*y - 9. What is the remainder when m(j) is divided by 2\/(-4 - 36\/(-8))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 87*j + 97*j - 6992 for j.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 56 - 214 = 0. Let f be 4\/30 - 438\/z. What is the derivative of -2*n**4 + 6 + 3*n**3 + f*n**4 - 3*n**3 wrt n?\nAnswer: 12*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 14*w**4 - w**3 + 2*w**2 + 5. Let h(l) = -11*l**4 - l**2 - 4. Let z(g) = -5*h(g) - 4*s(g). Factor z(d).\nAnswer: -d**2*(d - 3)*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.6 - -1.6. What is the nearest to q in 1, 12, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the second derivative of -n**6\/5 + 2*n**5\/5 - 89*n**4\/12 - 97*n. What is the third derivative of l(g) wrt g?\nAnswer: -144*g + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 457 + -453. Solve 2*q - q + a = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2563 + -2518. What is the highest common divisor of 4545 and x?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/5 of a kilogram in grams?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + 11 = 3*i, -25*i = -x - 29*i + 13 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 40*x**3 - x**2 + x - 2. Let z be b(4). Suppose 5*a - 4*u = z, -u = -3 + 2. Calculate the common denominator of 43\/6 and (-16)\/(-120) + (-863)\/a.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.091489 and -2.\nAnswer: -1.908511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Total of -204212710407 and 0.2.\nAnswer: -204212710406.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 2417 = -5*r + 2429, 33 = 5*y - 2*r for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 156124150 rounded to the nearest one hundred thousand?\nAnswer: 156100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2784535, 2784536, 2784537, 2784538?\nAnswer: 2784539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**2 + 20*u + 95. Calculate w(24).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = i - 68. Let g be (7\/7)\/((-2)\/i). Let n = -21 + g. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35 + -17 - (-7 + 16).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 106 divide 1316676945?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 392?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1466560477?\nAnswer: 23, 137, 257, 1811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 1 p when three letters picked without replacement from {p: 1, b: 6, e: 4, y: 4, v: 1}?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -673000 to the nearest 100000.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -15.709949 rounded to two decimal places?\nAnswer: -15.71","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -2694264709 take away -2?\nAnswer: -2694264707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21618*u = 21621*u + 70 - 22 for u.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -138*h - 46*h - 8*h + 16*h to the form f + k*h and give k.\nAnswer: -176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -10 (b) -3 (c) 0.1 (d) -0.1 (e) 11 (f) -444\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1)\/g**(2\/3))**(38\/5) assuming g is positive.\nAnswer: g**(-38\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*o + 6 = -30 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 21978119 to the nearest integer?\nAnswer: 280","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -17*5081.96\nAnswer: -86393.32","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let n = 89 + -39. Calculate the greatest common factor of n and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + (25\/(-15) - (-6)\/108*-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.05, -3\/5, 2, -2\/11, 0.49?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1499.9 plus 0.6?\nAnswer: -1499.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 46376\/221 - (-4)\/26. Suppose -2*d + 5*y + 29 + 55 = 0, -t = -5*d + 3*y. List the prime factors of d.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the first derivative of -16 - d + 1\/2*d**2. Let a(z) = -z + 4. Calculate a(g) + 2*s(g).\nAnswer: g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes before 9:38 AM?\nAnswer: 5:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -15*d**2. Let t(j) = -135 - 31 - 18*j - 4*j + 24*j. Calculate t(b(w)).\nAnswer: -30*w**2 - 166","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 36 and 180.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 134 + -122. Let m(n) be the second derivative of 0*n**4 + 0 + 7\/2*n**2 - 1\/20*n**5 + 0*n**3 + h*n. Differentiate m(l) wrt l.\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.47 take away -14?\nAnswer: 12.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/(-14) + 152\/56. Let y be (-66)\/(-12) + x\/6. What are the prime factors of (45\/y)\/(9\/84)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 - 10\/1 - (-42800 + 1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23233?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, 6, -2, 0.3 in decreasing order.\nAnswer: 14, 6, 0.3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 255 divide 555390?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, g: 3, v: 5}. What is prob of picking 3 v?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11303920 is divided by 661?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 - 22. Let q(h) = -h - 15. Let p be q(x). Does 10 divide (p - 294\/(-4)) + (-1)\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - -1 - (1 + -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the first derivative of -x**3\/3 + 11*x**2\/2 - 7*x + 2. Let f be l(10). Suppose f*y + 2*y = 40. What is the lowest common multiple of y and 18?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 15 and 1260?\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 5*z + 3*b - 8, 2*z = -4*b + 2. Suppose 4 = -3*g + 4*w, 3*g - z*w + 4 = -4. Suppose -4*n + g*n = 3*n. Solve n = u - 2*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-77)\/(-836))\/((-29449)\/2404).\nAnswer: -1\/133","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 210367 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 3831, 3802, 3753, 3684, 3595?\n\"Answer: -10*m**2 + m + 3840","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7538605 to the nearest integer?\nAnswer: 2746","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 4118061, 4118077, 4118083, 4118073, 4118041, 4117981, 4117887?\n\"Answer: -c**3 + c**2 + 20*c + 4118041","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 g when two letters picked without replacement from {h: 2, x: 2, g: 1, q: 1}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2616 + 1450?\nAnswer: 4166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 - -45?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 339825015 to the nearest integer?\nAnswer: 18434","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*u = 8*u - 108. Let s = -16 - u. Suppose -s = -4*n + 32. Does 3 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 116855 * -7\nAnswer: -817985","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5912 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -17 - -22. Let j be (4\/3)\/(k\/30). Let n(w) = w**2 - 2*w - 4. What are the prime factors of n(j)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 48 - ((-62)\/372)\/((-2)\/(-12)). Solve 37 = 4*k + p for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + 106*q - 104*q = -14, -2*r + 3*q + 36 = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a litre in millilitres?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 2, -2310, -1, 0, 49, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p + 7*p - 7 - 5*p. Let u be o(7). Is -1\/16 at least u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -6*s**2 - s + 4. Let m(p) = -7*p**2 - 2*p + 5. What is -3*j(u) + 2*m(u)?\nAnswer: 4*u**2 - u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 205371?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/1 - (-27970)\/(-27644). Let u = 23407703\/2038745 - z. Let g = u + 24\/59. What is the common denominator of -37\/18 and g?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.02 + 0.38. Let v = -6.202 - -2.202. Which is the third biggest value? (a) v (b) 1 (c) i (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*p**2 + 8*p**3 + 0 + 32\/3*p + 4\/3*p**4 = 0. What is p?\nAnswer: -8, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 + 10334132?\nAnswer: 10334123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/((-3)\/2))\/(1890\/162 - 3)?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 2, -4, -1, -5 in descending order.\nAnswer: 2, -1, -4, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13*2\/65)\/(16\/5*21\/(-36))?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 11*f**2. Let x(s) = -4*s**2 + 14. Let k(u) = -u**2 + 3. Let h = 21 - 24. Let m(v) = h*x(v) + 14*k(v). Give m(o(a)).\nAnswer: -242*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-10 - -7) + 3 + 0. Suppose -z + 2 = g, z + 14 = -u*g + 3*g. Solve -5*x = -2*f - 0*f + 9, -2 = g*x + f for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 320*i**2. Let m(j) = -228*j - 60. Let h(z) = 61*z + 16. Let l(b) = -15*h(b) - 4*m(b). What is l(y(d))?\nAnswer: -960*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -36 - -34. Suppose -r = -2*m + r + 12, -42 = -4*m - 2*r. Calculate the least common multiple of (-2 - -3)\/(c\/(-60)) and m.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g + 3*t + 34, 5*g + 5*t = 54 + 6. Suppose 0 = g*b + 99 + 55. Let r(y) = -3*y**3 - 4*y - 1. Let l(n) = 16*n**3 + 21*n + 5. Give b*r(z) - 2*l(z).\nAnswer: z**3 + 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -29 + 33. Suppose -j + 33 = n. Solve 5*g = -2*u - j, -2*g - 4*u = 2*g + 28 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*((t\/(t\/(t*t**12)))\/t)\/t)\/t*t\/t**(-9)*t**(-2\/15)*t*t\/(t*t**(-11)*t*t*t) assuming t is positive.\nAnswer: t**(448\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3048571 by 6.\nAnswer: -3048571\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*x = -2380400 + 768515. What are the prime factors of x?\nAnswer: 3, 9769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -42*l**2. Let b(z) = 642*z**2. Calculate b(v(n)).\nAnswer: 1132488*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 1966 divide 37806565?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 32839463 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.64258 rounded to 1 decimal place?\nAnswer: 22.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes before 11:43 AM?\nAnswer: 10:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*p = -27*p + 23 + 14 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 131918?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105 = -3*m - 6. What is m rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes after 3:31 PM?\nAnswer: 6:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-255)\/6*4\/120. Let q = g + -1\/12. Let b(d) = d**2 + d - 1. Let r be b(0). Sort -0.5, r, q in decreasing order.\nAnswer: -0.5, r, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/11 + 506\/242 + 8\/(-44).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -14*n - 24. Let d(a) = a**2 - 22*a + 33. Suppose -2*w + 13 = -27. Let q be d(w). Is m(q) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:25 AM and 1:51 PM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*m - 7*m**3 - 2*m**3 + 2*m + 0*m wrt m.\nAnswer: -54*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -16 and -87487.\nAnswer: 1399792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**6*k**(1\/4)*(k*k**(-2\/5)*k)**4)\/((k**(-1)*k)**(1\/43)\/(k**(-7)*k**(-1\/5))) assuming k is positive.\nAnswer: k**(109\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1541256 divided by -149?\nAnswer: 10344","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -145*z + 5962. Give d(41).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-5*sqrt(5) + -5 - sqrt(5))*6 - (-3 + ((-4*sqrt(45))\/sqrt(9))**2 + 3).\nAnswer: -113 - 36*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9*2\/(-3) + 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**3\/5 + 30*h**2 + 4508*h\/5.\nAnswer: -2*h*(h - 98)*(h + 23)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and -13\/86 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is (-7)\/(-28)*(-2 + 70) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 642 divide 96300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 307301 is divided by 214.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand z**3 - 3*z**3 + 8*z**3 + (-12*z + 54 - 54)*(-2*z**2 - 1 + 1).\nAnswer: 30*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -52 + 95. Let c(r) = 22*r - w*r + 26*r. Let u(y) = -19*y. What is c(u(m))?\nAnswer: -95*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5694 - 28471\/5. Let w = -1 + 1. What is the nearest to w in q, -2\/33, 1\/3?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-9)\/(-21) + ((-1555218)\/351134 - -4). Which is smaller: -1 or h?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 72 - 65. Let c(t) = -10*t + 17*t + d - 10*t. What is c(6)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 48b650e + -6?\nAnswer: 48b6508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 676547 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/10 (b) -205 (c) 2050\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 6752*a - 94. List the prime factors of s(1).\nAnswer: 2, 3329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3 and 2283.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 20*w + 31 - 8*w - 11*w. What are the prime factors of n(-9)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7603\/1175 + 306\/47. Suppose -r - 10 = 4*r. Which is smaller: r or v?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 11*i + 61. Let y(q) = -10*q - 57. Let w(t) = -5*k(t) - 6*y(t). Give w(-10).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 23560 and 147440?\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12634133, 12634122, 12634097, 12634052, 12633981, 12633878, 12633737, 12633552?\nAnswer: 12633317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3 - -5*(-4)\/(8\/(-2)). Suppose 0 = -p + b + 1. Solve 0 = p*k + k - 20 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 23*y**3 + 17*y**2 + 2*y - 1506 wrt y?\nAnswer: 138*y + 34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -41 - -3b?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 + 2. Suppose -d = 2*d + u - 7, -5*u - 41 = -r*d. Let t(f) = -f**3 + f - 1. Let k(x) = 3*x**3 - 3*x + 4. Give d*t(a) + k(a).\nAnswer: -a**3 + a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 53\/5 of a century?\nAnswer: 1060","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 86 = -26. Suppose 14*y - l*y = -13. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 0*o**2 + 5*o + 0*o**2 + 2 + 1 - o**2. Let b be t(5). Differentiate 1 + 5*y**b - 4*y**3 - y**3 + y**3 wrt y.\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -464 divided by -191.\nAnswer: 464\/191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 109212 + 14093*o + 82988 + 18947*o**2 - 112673*o - 4*o**3 - 17699*o**2 + 0*o**3.\nAnswer: -4*(o - 155)**2*(o - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = m - 3*i, 3*m + 9 + 2 = -5*i. Let k = -4 - m. Suppose 3*a + k*b + 6 = 0, 5*a = -0*a + 2*b + 25. What are the prime factors of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**3 - 14*d**2 + 138*d - 2070. What is m(16)?\nAnswer: 650","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**2 + 2092*t - 1094116.\nAnswer: -(t - 1046)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 4 + sqrt(1872) + sqrt(1872)*-2)*3.\nAnswer: -36*sqrt(13) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(54)\/(sqrt(3)*1) - (1 + sqrt(288)).\nAnswer: -9*sqrt(2) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 6 + 6)*(-2 + 3 + 0) + 0 - 9 + 0)*(-2*g - 2*g + 2*g)*(0*g - 2*g + 0*g).\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r**5 + 2*r**3 - 2*r**3)*(-1 + 9 - 2).\nAnswer: -12*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3856? (a) 1\/8 (b) 5\/4 (c) -0.315\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 34.4 (b) -5 (c) 1\/4 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + o = -660. Let a = -65 - o. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:06 PM and 1:36 AM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -104492978.81 - -104492667.80999682. Let t = -311 - r. What is t rounded to 6 decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16467 and 7005960?\nAnswer: 77065560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 18278047 to the nearest integer?\nAnswer: 263","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 18*c*h**4*j - 4*c*h**3*j - 2*c*h**2*j + 13*c*h*j - 2*h**5 + h**2 wrt h.\nAnswer: 432*c*h*j - 24*c*j - 120*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -8*d. Let p = 35 + -31. Let i(s) = -3*s**2 + p*s**2 + s**2. Give v(i(x)).\nAnswer: -16*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2)\/20*6)\/((-2)\/10). Let r(c) = 6*c**2 + 22*c**4 + 3*c**5 - 11*c**4 + 17*c**3 - c**s. Let n(j) = j**4 - j**3. Let y(v) = -n(v) - r(v). Factor y(a).\nAnswer: -3*a**2*(a + 1)**2*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, j: 9, i: 5, u: 1, s: 1, g: 1}. What is prob of sequence gu?\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -27 + (57 - (-68 - -30 - -12)).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 37823763?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 137\/234 and 97\/312.\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1162959527 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 78831287 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.355758um in millimeters?\nAnswer: 0.006355758","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 16.\nAnswer: 5\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64*g**2 - 75*g**2 + 132*g**2.\nAnswer: -7*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**1\/(s**(-4)*s)*s**(-2\/5)*s**(-2)*((s\/(s*s\/(s\/(((s**4\/s)\/s*s)\/s))*s))\/((s\/s**(4\/5)*s)\/s))**(-44) assuming s is positive.\nAnswer: s**(712\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9\/2155 and 45\/3429898.\nAnswer: 17149490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**2 - 4*d - 4. Calculate k(4).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 4*i**3 + 2 - 28*i - 3*i**3 + 26*i - 4*i**2. Let p = -7 - -10. Suppose -3*j - 2 = -4*w + 4, j + 7 = p*w. Calculate y(j).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the third derivative of -a**5\/30 + 7*a**4\/24 + 2*a**3\/3 + 5*a**2. Determine r so that b(r) = 0.\nAnswer: -1\/2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 + 1)*(-g + 0 + 0)*(1 + 0 - 4).\nAnswer: -6*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10119619?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -667*u**2 + 10*u**2 - 426*u**2. Let v(i) = i**2. What is f(v(m))?\nAnswer: -1083*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-548)\/(-8))\/(3\/42). Let x = -477 + p. Does 17 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyyyyyoufmysyooyyymy. Give prob of sequence mufo.\nAnswer: 1\/19380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 218821 = -2974*r + 70121 for r.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 50915 and 1445.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 3, -0.5, 320\/7, -103\/8, -4 in decreasing order.\nAnswer: 320\/7, 3, -0.5, -1, -4, -103\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 115848.\nAnswer: 2, 3, 1609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the first derivative of 3\/2*p**2 + 2 - p**3 + 0*p. What is the second derivative of u(z) wrt z?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 184039800 is divided by 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5.567 and -5?\nAnswer: 27.835","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6903 - 6898. Sort 0.09, -1\/2, -0.3, p in descending order.\nAnswer: p, 0.09, -0.3, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -3*f - 11. Is (34 + (-5 - -4))*f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(2\/13)*m\/(m**(8\/7)*m))**(-31)\/((m*m*m**(-1\/2)*m*m**2)\/(m**3*m**(-5))) assuming m is positive.\nAnswer: m**(4397\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*j + 3*j = -16*j - 16*b - 707, 5*j - 127 = 3*b for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0288 rounded to 2 dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**3 - 16*l**2 + 14*l + 19. Let h be i(15). Suppose h*c - 2465 = -u, 5*u - 5*c - 19367 = -6967. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand w**4 - 2*w**4 + 2*w**4 + (16 + 6*w**3 - 16)*(170*w - 573 + 573).\nAnswer: 1021*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -7*a + 6. Let s be n(-2). Suppose -4*i - r = -5*r, -i + s = 4*r. Calculate the remainder when 11 is divided by 55\/20 + (-2 - (-9)\/i).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*(1110\/(-675))\/37?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 243067590 to the power of 1\/5, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**2 + 12*w + 16. Let p be j(13). Let h be (9 - 5 - 4) + 0. Solve 3*u - p - 3 = h for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 49*l. Suppose -4*k + 2 + 6 = 0. Let i(q) = 0*q**2 - k*q**2 - 8*q**2 + 8*q**2. Determine i(o(f)).\nAnswer: -4802*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -161133 - 5?\nAnswer: -161141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) 1554.9 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7930?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 2 - 2 - 5*g**2. Let m = 11 - 8. Let b(t) = t - 3*t + m*t. Give b(l(a)).\nAnswer: -5*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**9\/y**(-2\/17)*(y*y**(2\/3))\/y*(y\/(y*y**(3\/5)))\/y assuming y is positive.\nAnswer: y**(2087\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 5, -1\/3, 70, 5\/6, 1\/8, -0.3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 3*c + u, c + 3 = -0*u + 5*u. Let j be 1 - (2 + (-3)\/1). Suppose -j*f = -1 - c. Solve f*z = -2*y, 3*y - 2 = -4*z + 2 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39260069 a multiple of 98?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*h**2 + 3*h**2 + 16*h**3.\nAnswer: 16*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -305030 by 61006.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/25, 3\/7, -0.2, 0.1, -220.\nAnswer: -220, -0.2, -2\/25, 0.1, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 223883\/102 - 4389\/2. Let k = f + -155\/714. Find the common denominator of 37\/76 and k.\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 99015 is divided by 49395.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93*x - 137 + 230 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 335.39967 to 1 decimal place.\nAnswer: 335.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 70 in -1, -0.41, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m**2\/10 + 1081*m - 5842805\/2 = 0. What is m?\nAnswer: 5405","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1300734 and 90.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -106\/4095?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 17570 (base 8) to base 6\nAnswer: 101144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 2*l**3 + 1 - 3*l**3 - 25*l + 25*l. Let b(o) = -28*o**3 + 16*o**2 - 20*o + 32. Let m(c) = b(c) - 24*y(c). Find x, given that m(x) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11*30\/12*(-184)\/253?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2714*-0.2\nAnswer: 542.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.5737 to one decimal place.\nAnswer: -5.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/2)\/(2\/(-10)). Let y = z - -8. Suppose f + 5*b = 56, 5*f - 293 = y*b + 43. What is the highest common factor of f and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15 + -13. Let q = -2951\/160 + 161\/10. What is the common denominator of 15\/(-33) - m\/(-4) and q?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 10, -1\/5, -7, 3\/29?\nAnswer: 3\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (-256)\/(-48) + 4\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 16, e: 2}. Give prob of picking 3 v and 1 e.\nAnswer: 56\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -7*s + 2. Let a(v) = 4*v - 1. Let y(c) = -9*a(c) - 4*d(c). What is the first derivative of y(f) wrt f?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes after 2:22 AM?\nAnswer: 5:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -66 + 74. Calculate the least common multiple of u and 26.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4419*u**2 + 4415*u**2 + 3*u**3 - 8834*u**2.\nAnswer: 3*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -29*n**3 - 4*n**2 + 4*n + 38. Let y(c) = -88*c**3 - 11*c**2 + 11*c + 114. Let f(u) = -11*x(u) + 4*y(u). Differentiate f(j) with respect to j.\nAnswer: -99*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -4*b - 34, -j + 30*b + 16 = 28*b. Let l(u) = -3*u**3 + 3. Let r(k) = -3*k**3 + 2. Give j*l(a) - 3*r(a).\nAnswer: 3*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 2 j when three letters picked without replacement from {g: 5, j: 11}.\nAnswer: 55\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 2*r**2 - 3*r + 3. Let g = 6 - 4. Let t be p(g). Factor 0*v**3 + 0 + 0*v - 2\/7*v**t + 0*v**2 - 2\/7*v**4.\nAnswer: -2*v**4*(v + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 259549195 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the third derivative of y**6\/120 - 2*y**5\/15 + 5*y**4\/12 + y**3\/3 - 3*y**2. Let t = 8 - 0. List the prime factors of f(t).\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 89473 is divided by 40.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - 3*z)*(2*z**4 - 1 + 1) - 4*z**5 + 0*z**5 + 6*z**5 - 2*z**5 + 0*z**5 + 3*z**5.\nAnswer: -3*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3 or -67\/23?\nAnswer: -67\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.4 and 1278531565.\nAnswer: 1278531565.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 + 1a0?\nAnswer: 1a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12 + (-13216)\/(-1092))\/((-12)\/9)?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 463, -2\/7, 0.\nAnswer: -2\/7, 0, 463","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 7*s**2 - 8*s. Let o(z) = -22*z**2 + 24*z. Let l(i) = i**2 + 10*i + 14. Let q be l(-4). Let c(a) = q*v(a) - 3*o(a). Factor c(b).\nAnswer: -4*b*(b - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -3*s**3 - 6*s**2 - 8*s - 9. Let g be v(-4). Suppose -g - 81 = -5*f. List the prime factors of f.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13 - -11. Let v = o - -6. Suppose -b = 4*p - 187, 5*p - v*b - 95 = 123. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1701)\/(-3078))\/(552\/874).\nAnswer: 7\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = c + 3*h + 2*h + 21, 0 = 4*c - 4*h - 36 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**3 - 159*l**2 + 1062*l + 129. What is x(152)?\nAnswer: -175","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1.21 and 23591.65957159?\nAnswer: 23590.44957159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the first derivative of j**7\/420 - j**6\/90 - j**5\/20 + j**4\/12 + 3*j**3 - 13. Let c(o) be the third derivative of a(o). Does 24 divide c(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o = -2*p - 24, -5*p + 31*o - 45 = 36*o for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kek when three letters picked without replacement from eekkeekeekkeeeeeee?\nAnswer: 65\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 4*y**3 - 81*y**2 + 22*y + 21. Let o be k(20). Calculate the highest common factor of o and 1647.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - 2 - -9 - (-48 - (10 + -38)).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -32 - -49228?\nAnswer: 491a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.98 - 0.02. Suppose 3 = -15*q + 12*q. Is v not equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1429.641m to kilometers.\nAnswer: 1.429641","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4160\/1189 - -105\/29. Let z = 700\/3719 + 1698457\/914874. Let b = l + z. Find the common denominator of 67\/14 and b.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*t**5 + 0*t**5 - 9*t**5 + (10*t**3 - 7*t**3 + 11*t**3)*(0*t + 2*t**2 + 0*t).\nAnswer: 17*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7504*j**2 + 349*j + 19 wrt j?\nAnswer: -15008","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or -45644817?\nAnswer: -45644817","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than or equal to -1\/319?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1141)\/(-5) + (-3)\/(-1). Let k be (104\/(-10))\/(2\/(-45)). Let g = o - k. Is -4 greater than or equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -127919 divided by -48?\nAnswer: 127919\/48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/18)\/(-1*1\/9).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -79819\/4 or -19955?\nAnswer: -19955","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -3b19 (base 12) in base 7?\nAnswer: -25536","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 2*d + 117. Let p be a(-29). Suppose 3*f + 19 = -107. Let q = p + f. Is 6 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1913, 1900, 1885, 1868, 1849, 1828?\nAnswer: 1805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*a**3*o**2 - a**3 - 1331*a**2*o**3 - 448*a*o**3 - 2*a*o wrt a?\nAnswer: -18*a*o**2 - 6*a - 2662*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 137184*(5 + (-26)\/6). Let n = -438544 - z. What is n rounded to the nearest 10000?\nAnswer: -530000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 88 - 86. Let y(p) = 51*p**3 - p**2 - 2*p - 3. Let x be y(g). Suppose 6*m = 203 + x. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -0.1 (b) -2\/5 (c) 1\/25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7432?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vx when two letters picked without replacement from pxuvs?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 498 and 498?\nAnswer: 498","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 13.0853208 to 1 dp.\nAnswer: 13.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*a - 6*a - 20 = 0. Calculate the greatest common factor of a and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24)\/sqrt(8) + -2 - sqrt(21)\/sqrt(7)*2)**2 + (sqrt(192)*2 - 6*sqrt(48))*3.\nAnswer: -20*sqrt(3) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 5 + 0 + -6.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-three tenths of a millisecond in microseconds?\nAnswer: 3300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 2*z**2 - 126. Let n be b(-8). Sort -9, 0.2, n, -1\/10, -7 in increasing order.\nAnswer: -9, -7, -1\/10, 0.2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -7*q**2 + 7*q - 21. Let m be u(3). Which is smaller: -61 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x, 0*z = -2*z + 3*x + 10. Let t = -0.009 + 0.109. Which is the nearest to -0.05? (a) t (b) z (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w**2\/5 - 28959736*w\/5 - 104833288648712\/5 = 0 for w.\nAnswer: -7239934","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 5*g = i + 2, 0 = -4*i + g + 34. Let a(q) = q**2 - 7*q - 5. Let m be a(i). Find the first derivative of -2 - 8 + 2*b + m wrt b.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 104716 or 1\/2?\nAnswer: 104716","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g**5 - 3*g**2 + 3*g**2)*(2 - 1 - 2) + 1185*g**2 - 1185*g**2 + 76*g**5 + (2 + 2*g**5 - 2)*(-1 + 1 - 2).\nAnswer: 70*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/3948 and -71\/6.\nAnswer: 3948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.0525 - -2.0525. Let a = -1.3 + 0.3. What is the second biggest value in -0.1, j, -2\/7, a?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 4*a**2 + 12*a - 1. Let h be r(-7). What is the highest common factor of h and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes after 11:14 AM?\nAnswer: 4:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/10*((-13360578)\/49 - -6). Let l = -27268 - z. Find the common denominator of l and 20\/3.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qlsllsbbqqqlq. Give prob of picking 2 s and 2 b.\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 669 and 40710211?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (127192436 + 1739*p**2 - 127192436)*(-5 + 4 + 0) as n + i*p**2 + u*p and give i.\nAnswer: -1739","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 10 = 0, 5*i + 5*k - 29 + 4 = 0. Solve -2*m - 22 = -i*n, -3*n - m = 2*n - 15 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, e: 1, t: 6, d: 1, j: 1, o: 6}. What is prob of sequence dit?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*g + 4*g + g)*(2*g**3 - 3 + 3 + (-g**2 + 1 - 1)*(-3*g + 2*g + 2*g)) as j*g**2 + b + k*g**4 + t*g + w*g**3 and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.53? (a) -212 (b) -5 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 12, -10702 in descending order.\nAnswer: 12, -3, -10702","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes after 12:47 AM?\nAnswer: 10:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -9*l**2 - 83*l + 64. Let o be k(-10). Let b(n) = -13*n**2 - 6*n - 6. Let m(j) = 12*j**2 + 5*j + 5. Determine o*m(p) - 5*b(p).\nAnswer: -7*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o + 1. Let q(t) = -57*t**2 - 4*t + 4. Determine -q(n) + 4*x(n).\nAnswer: 57*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 10\/15 + 3904\/3. Suppose 0 = -8*u + 4550 - h. List the prime factors of u.\nAnswer: 2, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 124*m + 60 = 154*m. Solve 8*c = -m - 6 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 90 + 0\/(2 - 3). Suppose 0 = -3*g + 4*k - 60, -4*k + 5*k = -2*g - 29. Let l = -7 - g. What is the highest common factor of t and l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**0)**(-13)\/((r*r**10*r)\/r**7) assuming r is positive.\nAnswer: r**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1783009781 to the power of 1\/5, to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 30464, 30450, 30434, 30416, 30396, 30374, 30350?\nAnswer: 30324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3117562639 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -95509, -191022, -286511, -381964, -477369, -572714, -667987?\n\"Answer: 2*m**3 - 95527*m + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000041367 rounded to six dps?\nAnswer: 0.000041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*v - 1116 = -232. What is the highest common divisor of v and 51?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1141 divided by 1?\nAnswer: 1141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 443218 to the power of 1\/2, to the nearest integer?\nAnswer: 666","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -10*l**2 + 82*l + 38. Let d(v) = -3*v**2 + 27*v + 12. What is 7*d(p) - 2*k(p)?\nAnswer: -p**2 + 25*p + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 62 + -58. Suppose 0 = -h*w + 4*k + 4, -2*w - 5 = -5*w + 5*k. Solve 24 = 3*a - 4*z, w = 4*a + 3*z - 3 - 4 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14 or 0.15123328?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 - -70?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -176 + 192. What is the nearest to 1 in -0.3, -5\/2, r?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 79.6356669 - 85.63566689. Let x = i - -6. Round x to seven dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes before 4:08 PM?\nAnswer: 6:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.47 - 1.68. Let t = 2213.91 + -2215. Let y = t + s. What is the fourth smallest value in 1, 2\/7, 4, y?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/(45\/(-24) + 2). What is the second derivative of l**2 + 55 - q*l - 55 wrt l?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -69261605 at most -69261610?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2064 and 104?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(2*sqrt(720) - sqrt(720) - sqrt(720)) + (sqrt(720) + sqrt(720)*-1)*-4)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 (base 12) in base 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqq when three letters picked without replacement from {u: 9, q: 11}?\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/9, 3527, -1\/2, -0.12.\nAnswer: -1\/2, -4\/9, -0.12, 3527","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + 2 - (-979 + 1007).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -374490 by -1971.\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 12215 - 3?\nAnswer: 12212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times 1.5?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 764*u**2 - 401*u wrt u?\nAnswer: 1528","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**3 - 13*h**2 + 15*h + 45. Determine u(-15).\nAnswer: 270","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 45533 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -26 - -14. Let v(l) = l - 3. Let g be v(4). Find the common denominator of -11*g*(-2)\/d and 49\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4851 and 147?\nAnswer: 4851","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/2)\/(1\/(-3)). Let x be 1 + -7 + 4 + (45 - 0). What is the tens digit of f + -3 + x - 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (7 + -9)\/(172\/(-164) + 1). Solve 39*i = k*i - 12 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 279 + -39. Let m = b + -109. Is 81 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + h + 154 = 3*a, -4*a = -h + 626. Let q = 242 + a. Suppose -r = -0*r + 4*v - 32, 2*v - q = -4*r. Does 10 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 162 less than or equal to 155?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + 4*c = 17, -5*b + 23 = -0*c + 4*c for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1164065)\/(-1264) + 2\/32.\nAnswer: 3, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -291739, -583349, -874961, -1166575?\nAnswer: -1458191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times -1871.64?\nAnswer: 935.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/2*(-19)\/((-171)\/(-24))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3989426 = -159*j + 30242797. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(1\/4)\/((l*l**0)\/l)*(l**(-1\/2))**(-1\/43) assuming l is positive.\nAnswer: l**(45\/172)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kprrpkvrkrwrr. Give prob of sequence rpvp.\nAnswer: 1\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -2212 (base 3) to base 7\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -4*m**2 - 4. Let n be f(2). Let g be 8\/n*-1*(17 - 2). Suppose -8 = -g*d + 2*d. Solve 1 + 9 = -5*h - 5*a, -13 = -h + d*a for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 95 = -390. Let p = 411\/7 - v. Which is the closest to p? (a) -2\/5 (b) -5 (c) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63 = 35*j - 7 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14 and 714.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -90029262, -90029262, -90029266, -90029274, -90029286?\nAnswer: -90029302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -305*j**2 + j**3 + 59*j + 67*j - 4*j**3 + 2*j**3.\nAnswer: -j**3 - 305*j**2 + 126*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(sqrt(90)\/(sqrt(81)\/sqrt(9)) - sqrt(10)))\/(sqrt(50)\/(3*sqrt(1210) - sqrt(1210))))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*d + 0*d - 5*d + (-4*d + d + 5*d)*(-2 + 5 - 5) + 8*d - 1 + 4 - 1.\nAnswer: 2*d + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the first derivative of -73 + 7\/9*h**2 - 8\/3*h - 2\/27*h**3. Factor b(w).\nAnswer: -2*(w - 4)*(w - 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*l - 45 = 0, 396*l = -5*w + 401*l + 5 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the third derivative of i**8\/1680 + i**7\/630 - i**4\/6 - 6*i**2. Let z(d) be the second derivative of s(d). Find the third derivative of z(y) wrt y.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22732522 a multiple of 3041?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 244011 and 2934?\nAnswer: 489","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 + (4962\/(-15003))\/(4\/(-256)). Let r = 1\/3334 - k. Find the common denominator of -11\/10 and r.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the first derivative of c**3\/3 - 2*c**2 + 6*c - 29. Is r(3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8811 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = -5*c - 0*c - 2*u, 3*u = 3*c + 6 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 4*f**3 + 2*f**2 - f + 1. Let a be b(-4). What is the common denominator of 119\/30 and (a\/2)\/(-3 - 27)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-44 + 15 + 22 + (-2 - 4 + 3)*(-3 + 0 + 1))*(2*a + 3*a**5 - 2*a).\nAnswer: -3*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -105.9 to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12001 (base 3) to base 6.\nAnswer: -344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(18)\/sqrt(3))\/sqrt(2) - (1 + sqrt(12)\/sqrt(4))) + ((-1*sqrt(3) + 3)**2 - sqrt(27)\/(sqrt(36)\/sqrt(4))).\nAnswer: -7*sqrt(3) + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 1140 = -6*n + 3*n, -3*n = r + 285. List the prime factors of r\/(-10) + (-1)\/2.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 378 + -378. Sort 1, v, -4 in increasing order.\nAnswer: -4, v, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 25 = 0, -5*r + 9*i + 140 = 4*i. Suppose -4*v = -5*f - 92, 3*v - r = 2*v + f. List the prime factors of v.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 48*w**3 + 4*w**2 + 6*w - 125. Let z(l) = l**3 - 2*l**2 - 2. Let m(t) = o(t) - 3*z(t). What is the second derivative of m(d) wrt d?\nAnswer: 270*d + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*(-2)\/4 + (-35 - (22 + -80))?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13214 - -13221. What is the remainder when ((-2)\/(-5))\/(4\/380) is divided by f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*c*f**5 - 2*c*f**2 - 12*f**5 + 5*f**3 + 2*f**2 - 7236*f wrt f?\nAnswer: -180*c*f**2 - 720*f**2 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 + 107. Suppose 3*l - c = 2*j, 0 = -5*l + 2*j - 6*j + 139. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -4*m + 27. Let z(s) = 3*s - 24. Let l(q) = 2*r(q) + 3*z(q). Let t be l(15). Which is the second smallest value? (a) -6\/7 (b) 3 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -215 - 71. Let r be 11\/(-10) - 13\/(b\/33). Determine v, given that -r + 6\/5*v - 2\/5*v**2 + 4\/5*v**4 - 6\/5*v**3 = 0.\nAnswer: -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hathmhhauhima. Give prob of picking 1 a and 1 u.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 73077?\nAnswer: 3, 24359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2689101?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89*t + 33 = -33 + 244. Let -45\/2*f**t - 147\/2 + 189\/2*f + 3\/2*f**3 = 0. What is f?\nAnswer: 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -97.941 - -98. Let s = 0.05877 - r. Round s to four decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((36\/32)\/(5\/(-60)))\/((-1)\/(100\/975))?\nAnswer: 18\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2572 greater than 4517?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7 and 128233.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -54\/8173 and 69\/110?\nAnswer: 81730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 67595898 a multiple of 201?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1340021 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 732\/5, 1571?\nAnswer: 1571","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes after 11:59 PM?\nAnswer: 7:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72 = -3*z + 11*z. Suppose -z*u + 10*u - 350 = 0. What are the prime factors of u?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/8 - (-9)\/56. What is the second smallest value in 3, 5, m?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7210*j + 14398*j - 7185*j.\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1202, -2366, -3530, -4694?\nAnswer: -5858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3334 is divided by 476?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -9 - -3 - (-4 + -18 + -10 + 65)\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 116477716 is divided by 2377096.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 118 in 1, 4\/7, 4, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11.5 - -9. Let g = q + 2. Let r be 2\/30 + 10\/(-25). Which is the nearest to r? (a) -0.1 (b) g (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in five quarters of a week?\nAnswer: 210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 5*x**2 - 4*x - 28. Let l(k) = -6*k**2 + 5*k + 35. Let f(z) = 10*d(z) + 8*l(z). Let a(y) = 6*y**2 + 10*y**2 + 25*y**2. Calculate f(a(g)).\nAnswer: 3362*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**3 - v - 6. Determine o(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8.1 - 0.1. What is the closest to d in -5, -4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26762?\nAnswer: 2, 13381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -30325 or 28\/87?\nAnswer: -30325","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 + 10102354?\nAnswer: 10102346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -13 + 454?\nAnswer: 441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 237348 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.4140675 millennia?\nAnswer: 41.40675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - 25 = m, m = 2*m - 3*u + 20 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1020\/1275*(-15)\/(-21).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6795, 6798, 6801, 6804, 6807, 6810?\nAnswer: 6813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 - -10. Which is smaller: 10 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t = 14, 8 - 21 = -5*g + t for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 80 - 120. Let q = 44 + h. Suppose 0 = -q*k + 5*k - 50000. What is k rounded to the nearest one hundred thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3087 + 723.113.\nAnswer: 3810.113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, z: 2, n: 1, w: 2, a: 1}. Give prob of picking 2 e and 2 n.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 - 5.5. Let z = c + -2.5. Let p = 0.4 + -0.3. What is the nearest to p in -0.4, z, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/10*(-1170)\/(-858)\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 3*w = -4*t - 244, 3*t = 2*w + 754. What is the remainder when t is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3835, 3836, 3837, 3838?\nAnswer: 3839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:57 PM and 10:48 PM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -11*u + 5. Give g(5).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -7*t + 11. Let a(q) = -20*q + 32. Let p(v) = -4*a(v) + 11*z(v). What is the first derivative of p(j) wrt j?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, n: 1, x: 4}. What is prob of sequence gnx?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**3 - 7*n**2 - 5*n + 8. Let o be d(-6). Suppose -3*l - 36 = -3*x, 0 = -o*x + 4*l + 44 - 14. Suppose -3*r + 0*r = -x. Is 3 != r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d = -5*a - 25, a = -0*a + 3*d + 27 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 26*k + 7. Calculate n(-4).\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of ((-99)\/(-33))\/(1*6\/26) and 2.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3 + 132\/(-2) - 0. Let g = 97 + v. Let h = -24 + g. Are h and 10 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 16) to base 12.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 2*b. Let r be (-2 + 2 + 2)\/2. Let x(c) = -c**2 - 5*c**2 + r + 5*c**2. Let t(j) = -a(j) - x(j). Give t(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1181.92 - -1966. Let w = d - 784. What is the third smallest value in w, -9, -2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -250 by -50.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.937922l to millilitres.\nAnswer: 937.922","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*((q*q**(3\/4))\/q)\/q*q\/(q**(1\/5)\/q)*q)\/(q**2*q**(2\/35)) assuming q is positive.\nAnswer: q**(209\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from ffxfa?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -131, -275, -421, -569, -719, -871?\n\"Answer: -x**2 - 141*x + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 l when two letters picked without replacement from lclcsslcll.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the second derivative of c**6\/720 + c**4\/6 - c**3\/2 - 4*c - 4. Let u(i) be the third derivative of s(i). Let g(l) = -11*l**2. Determine u(g(p)).\nAnswer: -11*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7.024 + 7. Let h = -4.3 - -4.406. Let w = h + f. What is w rounded to 2 decimal places?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + 22 = -2*l, 2*l - 11 = -5*v + 12 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2050?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of (-5 - (-219 - -6))*44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -397 = 3*y - 385. Suppose 0*g = g. Which is the nearest to 2? (a) g (b) 2\/9 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -624138700 to the nearest one million.\nAnswer: -624000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29028620 divided by 2762.\nAnswer: -10510","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggagggag. Give prob of picking 2 a.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**2 - 3*f - 9. Suppose -53*n = -71*n. Suppose -4*w + 3*t + 33 = 4*t, n = -4*w + 2*t + 30. Determine p(w).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-12)\/(-10)*10\/3. Suppose -3*j - k = -43. Suppose -j - 5 = -3*x. What is the greatest common divisor of x and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gcpkxxi. Give prob of picking 1 p and 1 k.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9919898, -9919899, -9919900?\nAnswer: -9919901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**3\/4 - 329*z**2\/4 - 8418*z - 252333.\nAnswer: -(z + 53)*(z + 138)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l - 68 - 4. Let w = l + 43. Calculate the remainder when w is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the first derivative of 25*l**3\/18 - 45*l**2 + 486*l + 508. Suppose t(q) = 0. What is q?\nAnswer: 54\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*j - 17*j - 20 = 0. Suppose 0 = -4*h - j*x + 32, 2*h - 8 = h + 4*x. Solve h*l + 3 = -5 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 70472561 to the power of 1\/3, to the nearest integer?\nAnswer: 413","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Solve -w - 31 = -6*u, -u = 89*w - 86*w - 3*u + 61 for w.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1290.\nAnswer: 2, 3, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 7*w**2 - 22*w + 35. Calculate m(3).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 21019 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: Suppose -2*k - 4*n + 331 = k, 3*n + 458 = 4*k. Let c = k - -535. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-72)\/16*(-220)\/(-1155)*119\/3\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/(-14) - 1020\/42. What is the common denominator of -95\/16 and 1 - (-87)\/u - -1?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*g + 2*g**4 - 7*g - g - g**4 + g + 0*g**4 + 2*g**4 - g**4 + (-3*g + 6*g - 4*g)*(-3*g**3 - 2*g**3 + 3*g**3).\nAnswer: 4*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -551*x + 5356. What are the prime factors of o(5)?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6731 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes before 3:47 AM?\nAnswer: 1:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 926280 and 230740.\nAnswer: 1660","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:33 AM and 11:15 AM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and -549.\nAnswer: 1098","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2252 divided by 22498.\nAnswer: -1126\/11249","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/3)\/((-7)\/168*2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**3 + 5*f**2 + 6*f - 3. Let u be k(6). Let s be (-10)\/u + 2\/(-6). What is the first derivative of -1 - 4 + 3 - o**s wrt o?\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 8 = 5*i, 0*i + 3*a = -2*i + 7. Let b(y) = y**2 - 7. Let x be b(0). Let k be 16\/(-42) + i\/x. Are k and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/20*4292\/3045*-7?\nAnswer: -37\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (64 - 4 - 20)*(-4 + 4 + x - 2) + 2*x - 79 + 79 in the form b + v*x and give b.\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 27 + -25. What is the third biggest value in 3, u, -34?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/9*(-18)\/(-36). What is the closest to 12 in 3, f, -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (6 + 3)\/3*1. Let x be 1*((1 - 5) + c). Let h be -1 - (-1 + x + 0). Put 0, 6, h in decreasing order.\nAnswer: 6, h, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(810))\/(sqrt(30)\/(sqrt(36)\/sqrt(6))).\nAnswer: -27*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 7, m: 3}. What is prob of picking 1 m and 1 z?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t\/(t**(-4)\/t))\/t*t*t*(t*t**(2\/11)*t)\/t*t)\/(t**(1\/8)\/(t*t*(t**(3\/7)*t*t)\/t)) assuming t is positive.\nAnswer: t**(8307\/616)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 66 + -86 + 37 + (-7 + 5 - 0)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1011121200220 (base 3) to base 13.\nAnswer: -18a36b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4 - (-9176102)\/((-3)\/(-3)). Suppose v = -q + 3076106. What is q rounded to the nearest one million?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(1\/4)*m)**11*(m*m\/(m*m**(-20)\/m*m))\/(m\/m**(2\/23)) assuming m is positive.\nAnswer: m**(3113\/92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 100472?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 3, -1, -3, 24, 5, -85 in ascending order.\nAnswer: -85, -3, -1, 3, 5, 9, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -47 + -1 + 916 + -864?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3690376562?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 489de0 (base 16) in base 2?\nAnswer: 10010001001110111100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of h*i**2*k**2 + 2*h*i**2*k + 3237*h*i*k - 2*h*i - 17*i**2*k + 1948*i**2 + k**2 + 2 wrt i.\nAnswer: 2*h*k**2 + 4*h*k - 34*k + 3896","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/220630 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*f - 26*f + 79 = 4*y, 2*y - 41 = -f. Suppose -3*x + 110 = -2*x. Calculate the greatest common divisor of y and x.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**2. Let o(c) = 71*c**2 + 2*c. Let j(n) = -36*n**2 - n. Let i(z) = -5*j(z) - 3*o(z). Determine q(i(p)).\nAnswer: 1089*p**4 + 66*p**3 + p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20*w + 26*w - 26*w + (-w + 3*w + w)*(5 - 3 - 1))*(1 + 2*w - 1 + (-3 + 3 + w)*(4 - 1 - 4)).\nAnswer: 23*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*y + 5*y - y**4 + (-4*y + 3*y + 3*y)*(y**3 + 0*y**3 - 3*y**3) - 4*y**2 + y**4 + 4*y**2 + (-2*y - 3*y + 3*y)*(y**2 - 2 + 2)*(5*y + 2*y - 6*y).\nAnswer: -6*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve h**2 + 344*h + 1695 = 0 for h.\nAnswer: -339, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c + 0*c + c)*(1 + 0 + 4)*(-2*c + 0*c - c)*(54*c - 7*c - c).\nAnswer: 1380*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 851903 is divided by 35494?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -46 + 81. Suppose 3*z + 5*j - 3 = 6*z, -5*z = 5*j - b. Suppose -365 = -z*d - 49. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13360 + -13295. Suppose 51 = j + 5*z, 4*z - 10 = 4*j - 94. What is the highest common factor of q and j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l. Let y(j) = 17*j**2 - 3*j**2 - 4*j**2. What is y(m(t))?\nAnswer: 10*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 445, 425, 399, 361, 305, 225, 115, -31?\n\"Answer: -c**3 + 3*c**2 - 22*c + 465","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 35*u**2 - 9*u + 3. Let f be i(3). Suppose -v - 316 = -3*v + 4*s, -2*v - s + f = 0. Is 12 a factor of (-1 + v)\/1 - (15 - 12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + 10 + 11 + -17 + 67 - -12 - -4.\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 16) to base 3.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 401273 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 118 and 0.07.\nAnswer: 8.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 2*p + 18 = y, -p = 5*y - 90. Suppose 4*n + y = 90. Let i = 25 - n. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*j - 59*j = -450747. What are the prime factors of j?\nAnswer: 29, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 2231 - 4*t**3 + t**2 - 6*t - 2225 - t**2 + 57*t**4. Let h(f) = -f**3 + f + 2. Let a(y) = -4*h(y) + i(y). What is the second derivative of a(r) wrt r?\nAnswer: 684*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.543 to 1 dp.\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 84 + -76. Let b be 19015999\/r + (0 - (-3)\/24). Round b to the nearest one hundred thousand.\nAnswer: 2400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence er when two letters picked without replacement from rrererrkrr?\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are 7904 and 6\/19 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**2 - 3*k - 1. Suppose 0 = -h + 4. Let b be v(h). Suppose 0*a - b*a + 13 = 5*m, -2*a = -5*m + 33. Solve -5*g - 5*z = 20, -2*g - 3*z - m = 5 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -87*g**3 + 84*g**3 + 69*g - 21 - 67*g as t*g**3 + u*g + x*g**2 + c and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*i**2 - 33*i**2 + 13*i**2 + 147 + 11*i**2 in the form q + f*i**2 + j*i and give q.\nAnswer: 147","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -10 + 6\/3 + 2. Calculate the common denominator of 26\/27 and (1099\/(-175) - a)*7\/3.\nAnswer: 675","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5985*t**2 + 5985*t**2 + 7*t**3.\nAnswer: 7*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22152649 is divided by 74840.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 46 - 21. Suppose -r = o - 73, -110*o - 141 = -2*r - 107*o. Calculate the remainder when r is divided by u.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 251 + -251.0207. Let g = -4.2807 - i. What is g rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*o**14*o\/(o*o**(2\/3)) assuming o is positive.\nAnswer: o**(43\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3, -75, 5, 1 in descending order.\nAnswer: 5, 3, 1, -1, -75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 271*g + 494*g - 2*g + 694*g - 55366 = 0 for g.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, 297, 1185, -1, -2 in increasing order.\nAnswer: -16, -2, -1, 297, 1185","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 545 is divided by 61.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 303.449 - 303. Round i to one decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 36 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) -4 (b) 12 (c) 1\/395 (d) -3\/7 (e) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 763107 a multiple of 587?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -818, -1500, -2176, -2846, -3510?\n\"Answer: 3*s**2 - 691*s - 130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9 + 24. Suppose -4*a + 2*a = 3*x + 7, -u = -5*a - x. Does 2 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**3 - 11*n**2 + n + 8. Let g be t(11). Solve -4 = 5*u + 5*o - g, -6 = -2*u + 3*o for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1588 + -1583. Sort p, 1, 48 in descending order.\nAnswer: 48, p, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the third derivative of -w**8\/3360 + w**7\/630 - w**6\/360 + w**4\/8 - 3*w**2. Let p(h) be the second derivative of v(h). Factor p(f).\nAnswer: -2*f*(f - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -6105883, -12211741, -18317577, -24423385, -30529159, -36634893, -42740581?\n\"Answer: k**3 + 5*k**2 - 6105880*k - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nxk when three letters picked without replacement from nhxrk?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2990262 divided by -12.\nAnswer: 498377\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-25740)\/90*12\/792*-18?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2\/13)*s*s*s*s**(-5\/6)*s)\/((s*s\/(s**(-4\/11)*s))\/s*s*s\/(s*s**(-2\/31)\/s)) assuming s is positive.\nAnswer: s**(15551\/26598)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - -1 - (-1309)\/(-330)) + (-14)\/(-84).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 292149, 292865, 293579, 294291?\n\"Answer: -j**2 + 719*j + 291431","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 0*w + 0*w + 51180*w**2 - 30863*w**2 - 25287*w**2 to the form h*w + p + j*w**2 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**3 + 27*x**2.\nAnswer: -x**2*(2*x - 27)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 17*x**2 - 53948. Let c(j) = j**2. Calculate l(c(i)).\nAnswer: 17*i**4 - 53948","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.43482*-0.2.\nAnswer: 0.086964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and 401.\nAnswer: 80.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -4, -0.3, -5\/119, 1\/3, 1\/7, 5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-90)\/90)\/(4\/(-30)*(-325)\/13)\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 8*f + 2 - 20*f to the form s*f + t and give s.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**(-12))\/k**(4\/13)*(k**(8\/19)\/k*k)\/k**(-12\/5))**40 assuming k is positive.\nAnswer: k**(153272\/247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -509067331974.999999589 - -509067331519. Let a = j - -456. Round a to 7 dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 196908 by -84.\nAnswer: -16409\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2293\/9 bigger than 256?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/((0 - (-4 + 3))\/(-1)). Solve -3*y = -s + 16 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.108 - 0.146. Let m = u - 3.746. Sort m, 4, -5, -1\/4 in decreasing order.\nAnswer: 4, -1\/4, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -12, -0.63, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1244285*d**3 - d**2 - 2*d - 1020536 wrt d?\nAnswer: -7465710","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xgxr when four letters picked without replacement from {g: 3, x: 7, r: 2}?\nAnswer: 7\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from xxxccxxxx?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 7*p - 3. Let q be x(2). Let a(z) = 7*z**2 + 22*z + 31. Let g(o) = 3*o**2 + 11*o + 15. Let n(h) = -4*a(h) + 9*g(h). What is the tens digit of n(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10 - -4. Let n = q + 6.1. Let t = 0.09952 - n. What is t rounded to 4 dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-64)\/(-20))\/((-1)\/(-25)). Let b be (-3)\/6*(-4 - 0). Suppose 14 = -b*h + n. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 j when two letters picked without replacement from pjgplpjgsjlwl.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 182459 rounded to the nearest 1000?\nAnswer: 182000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1368359 to the power of 1\/2, to the nearest integer?\nAnswer: 1170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2541821 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*g = 51*g - 4*v - 8, -2*g = 2*v - 8. Calculate the greatest common factor of 723 and g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4 and 512?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 29*h**2 - 338*h + 57. What is q(11)?\nAnswer: -152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 442*r**2 + 436*r**2 + r - 11*r**3 - 872*r**2 as i*r**3 + c*r**2 + w*r + t and give i.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 245, 262, 277, 290, 301, 310, 317?\nAnswer: 322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 22921 - 14229. Suppose 0 = -9*d + y + 21782. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 102*b - 6*b**3 - 104*b - 1 - 1 in the form s*b**2 + n*b + l*b**3 + k and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes before 1:51 PM?\nAnswer: 8:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000003654 rounded to 7 decimal places?\nAnswer: -0.0000037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.6041620991 to four decimal places.\nAnswer: -1.6042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 196, 874, 2022, 3634, 5704, 8226, 11194, 14602?\nAnswer: 18444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - (-19 - (4 + -19)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.0755545l?\nAnswer: 75.5545","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**2 + 4*o - 4. Let d be h(-6). Suppose 7*i = d*i - 29. Is i a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 401256719657.6 - 2?\nAnswer: 401256719655.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 6600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -240 + 44*i + 478 + 297*i - 238.\nAnswer: 341*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 826 = 4*d + 2*z, -5*d + z - 301 = -1316. Does 6 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1846284 * 5.\nAnswer: -9231420","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p + 4, g = -0*g - 2*p + 286. What is the greatest common factor of 4 and g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -352731, -352737, -352731, -352707, -352659, -352581, -352467, -352311?\nAnswer: -352107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**5 - 1\/5*p**4 + 9\/5*p**3 + 0*p + 0*p**2 + 0.\nAnswer: -p**3*(p + 1)*(10*p - 9)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*f**2 - 19 + 10 + 9.\nAnswer: 8*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the first derivative of -7*r**2\/2 + 6*r + 132. What is k(-6)?\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33491 is divided by 243.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 2*g**2 + 14*g = 0.\nAnswer: -7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*m - 3*m + 5*y - 164, -123 = -3*m + 5*y. Let f = 78 - m. Suppose 6*b = 23 + f. What are the prime factors of b?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the first derivative of 9*a**2\/2 - 3. Let z(g) be the third derivative of -1\/12*g**4 + 0*g + 0*g**3 + 4*g**2 + 0. Give j(z(u)).\nAnswer: -18*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -116 + 113. Sort -4, -2, -6, c in decreasing order.\nAnswer: -2, c, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-68)\/(-10) - (-100)\/(-125). Suppose o*q = 2*q + 5*d + 1060, -1370 = -5*q - 5*d. Is q a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*x**3 + 24*x**2 - 24*x**2 + 8 + (-2 + 2 - 3)*(-2*x**3 - 5*x**3 - 2*x**3).\nAnswer: 31*x**3 + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 3*l + 46. Solve q = -b + 2*b - 3, -4*b = 3*q + l for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00090601 to 5 decimal places.\nAnswer: 0.00091","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 500\/3 + -3446\/21. Let s = 68\/21 - c. Let h be ((-152)\/(-12) + -13)*1\/(-6)*-2. What is the nearest to s in -0.3, h, 2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 2*k - 11. Calculate y(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sum 924351 and -0.04.\nAnswer: 924350.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**3 + 582*r**2 + 35870*r + 15364. Calculate w(-512).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5 or 0.16232434?\nAnswer: 0.16232434","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 476 - -6818. What is the tens digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/126 and -47\/24?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 44 - 46. Let t be (-2 + z)*2000*(-5720)\/32. What is t rounded to the nearest one hundred thousand?\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 5*i + 40 = 0. Suppose 3*r = -b + 221, i*r - 367 = b - 3*b. Suppose -18*k + 21*k - r = 0. What is the greatest common factor of 75 and k?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*v - v - 4*v)*(-2*v - 4*v + 3*v) + (v**2 + v**2 + v**2)*(0 - 1 + 0).\nAnswer: -9*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 35\/(-6020)*-43*-100?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50671 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9476, -98192, -246052, -453056, -719204?\nAnswer: -1044496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 68, 3, -5 in decreasing order.\nAnswer: 68, 3, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 366.4487 decades?\nAnswer: 3664.487","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1188 + -1194. Does -8 = q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*z**3 + 187955*z**2 + 751880*z + 751900.\nAnswer: -5*(z - 37595)*(z + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-1064)\/(-399)*3\/1\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 65 = -11. What is the highest common divisor of c and 198?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*k + 149*k - 13*k)*(2*k**3 + 24*k**3 - 11*k**3).\nAnswer: 2265*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*x + 2479 - 85. Suppose -29*s + 26*s + x = 0. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 65, 0.1, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x - 204 = 33*r, 2*x + 76*r = 81*r + 36 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -y**2\/2 + 116649*y - 13606989201\/2 = 0.\nAnswer: 116649","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 4*c - 7 - 2 + 2 + 3. List the prime factors of s(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -2\/5 (b) -7 (c) 1.3 (d) 158\/7 (e) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**3 - 14*d**2 - 13*d + 7. Calculate the lowest common multiple of u(-13) and 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2436141 by 1.\nAnswer: 2436141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 40347352*s**2 - 11724403*s?\nAnswer: 80694704","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6424 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the second derivative of v**7\/1680 - v**6\/15 + 16*v**5\/5 + 11*v**4\/3 - 2*v. Let w(u) be the third derivative of j(u). Find o such that w(o) = 0.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 608 and 64?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 8*d)*(-68*d - 23*d + 14*d).\nAnswer: -616*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**3\/5 - 14*j**2 + 134*j\/5 - 66\/5.\nAnswer: 2*(j - 33)*(j - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -37 times 0.23?\nAnswer: -8.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15378*w**2 - 27860*w**2 - 15349*w**2 - 23316*w**2.\nAnswer: -81903*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from erpeyepeweeeeepeeey. Give prob of sequence rye.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s**(-1\/2)*s**(-4)*(s\/s**1)**(-1\/19) assuming s is positive.\nAnswer: s**(-7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 115307.\nAnswer: 67, 1721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2*18*11\/594)\/((-24)\/(-9)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 3 x when four letters picked without replacement from {h: 1, n: 1, x: 8, k: 1, o: 2, c: 1}?\nAnswer: 8\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -0.3, -1\/4, -2\/35, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*l**2 + 11 - 11 + l**2.\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(77) - 5*sqrt(77)*2)\/(sqrt(7) - (sqrt(847)*-1 - sqrt(847))).\nAnswer: -9*sqrt(11)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78*r - 32 = -70*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 541*i + 2706. Give k(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 202*j**2*t**2 + 1671*j**2*t + 3*j*t**3 + 13742*t**3 - 1135 with respect to j.\nAnswer: 404*j*t**2 + 3342*j*t + 3*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g + 2*z - 10, 5*z - 28 = -2*g - 3. Suppose -5*m = 4*q - 27, 5*q + 7 = -m + 25. Suppose m*l = -g*l + 81000. What is l rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20 + 5*j**2 - 25 + 3*j**2 - 7*j**2.\nAnswer: j**2 - 45","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 1266 = -3*y, 2045 = 3*c + 5*y + 165. What is c rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + (-6 + 1 - -11).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1, -3\/7, 1\/15?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -32 - -36. Solve 17 = n*g + 1 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o**5\/5 - 12*o**4 + 382*o**3\/5 + 1084*o**2\/5 - 384*o\/5 - 1024\/5 = 0. Calculate o.\nAnswer: -2, -1, 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 11*l**4 + 10351*l**3 - 16*l**2 + 4756864.\nAnswer: 44*l**3 + 31053*l**2 - 32*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 688, 696, 714, 748, 804, 888, 1006?\nAnswer: 1164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 11148858?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 24263\/3 or 8087?\nAnswer: 8087","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/2 - (-571)\/(-66). Let w = -3\/268 + -5485\/804. Let p = k - w. Which is the closest to -1? (a) p (b) 1 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*u + 13*u + 5709 = 11*u. Calculate the highest common factor of 11591 and u.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -769\/99 or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**2 - o - 12. Let n be a(0). Let w = n + 20. Calculate the remainder when 30 is divided by w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = d - m, -5*d = -3*m - 7 - 12. Let z(b) = 4*b**2 - 7*b**2 - 3*b**2 - b**d. Let n(u) = -4*u + 6*u + 0*u. Give n(z(o)).\nAnswer: -14*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 4*o**3 + 20*o**2 - 23*o + 2. Give n(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 26.622241 minus 0.5?\nAnswer: 26.122241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(140) + sqrt(140)*-3)\/sqrt(7) - (2 + -1 + sqrt(20)))**2.\nAnswer: 12*sqrt(5) + 181","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 34*t + 78 = 35*t, -3*c = 2*t - 81. Solve n = -5*i - 20, -4*n - 2*i = -7*n + c for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5745, -11490, -17235, -22980, -28725, -34470?\nAnswer: -40215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 4*m - 64 = 0, 5*z + 62 = 3*m - 18. Let c be z\/(-3) + 5\/(-15). Suppose -8 = -4*f, 5*r - 4*r + c*f = 14. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25623\/351 - (-3 - -55).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16 - -6) + 1 + -2 - 0.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2120 + 2120.0000010276. Round l to seven decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnsnnsnns. Give prob of sequence ssn.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*i**5\/5 - 26*i**4\/5 + 96*i**3\/5 + 3024*i**2\/5 + 16416*i\/5 + 28512\/5 = 0. What is i?\nAnswer: -6, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -8*n + 24. Let l = -22209 - -22213. Determine x(l).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96*c - 58 = -3*q - 95*c, 4*q = 16*c - 3*c + 684 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 462?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 613779 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**2 - 7*o - 11. Let w be v(-5). Let s = 0.207 + -5.207. Which is the closest to w? (a) -1 (b) s (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, 7961089, -3\/5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.6 + -0.8. Let o = j - 4. Let f = -1.20095 - o. What is f rounded to 4 dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*v = -3 + 14. Let n(k) = 3*k**2 + k + 1. Calculate n(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 146.52704 times 6?\nAnswer: 879.16224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(76)*2*4)\/sqrt(4)*-5 - (-1*sqrt(19)*6 + (sqrt(95)*1)\/sqrt(5))*-3)**2.\nAnswer: 57471","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z. Let h(c) = -c - 67. Let p(b) = 2106*b + 10452. Let u(y) = 156*h(y) + p(y). Give u(r(i)).\nAnswer: -1950*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 237, 237, 247, 273, 321, 397, 507, 657?\nAnswer: 853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 60241684?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 160 times -5129.78\nAnswer: -820764.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.21 times 267645?\nAnswer: 56205.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.059, 2\/5, 2, -15\/53?\nAnswer: 0.059","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t = -2 - 6. Let k be ((-3 - 1) + 3)\/t. What is the remainder when 32 is divided by k\/(3\/(-4)) + 198\/54?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kk when two letters picked without replacement from kkkkxkkkkkkkkkk?\nAnswer: 13\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 4*f - 84, -2*i = i - 3*f - 99. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 796784988 divided by -3628.\nAnswer: -219621","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand w**4 - w**4 + w**5 + (-120*w - 43 + 43)*(-4*w**4 + 6*w**4 + 7*w**4).\nAnswer: -1079*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -112 - -110. Put h, -3, 4 in ascending order.\nAnswer: -3, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15.4 - 15.7. What is the biggest value in -4, 3\/7, -0.2, h?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*w - 2*w + 2*w)*(5 - 3 + 5) + (3 + 1 - 2)*(2*w - 1 + 1) - w - w + w in the form v + x*w and give x.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -33782, -71498, -109222, -146954?\nAnswer: -184694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 0*c - 2*c + 2 = 0, 5*n - 4*c = 5. Find the first derivative of 8 + 7*h**2 + n - 16*h**2 wrt h.\nAnswer: -18*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - 45) + 19 + (17 - (20 + 17))\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 34248978 and 414.\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -2917248 divided by -1712\nAnswer: 1704","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Divide -102 by -4777574.\nAnswer: 51\/2388787","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17649248.\nAnswer: 2, 551539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 5, c: 7, x: 7}. What is prob of sequence ccxx?\nAnswer: 49\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.2 and -67550.467479?\nAnswer: 67550.667479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5644\/27 + 209. What is the common denominator of b and 151\/96?\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(147) + (1 + sqrt(147))*4 - 3*sqrt(147)*-2)*4 + -2)**2.\nAnswer: 8624*sqrt(3) + 284788","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*g + 15*g - 30*g.\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4.52 and 0.1.\nAnswer: 0.452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7938*u - 728*u**3 + 2649*u + 2651*u + 2638*u.\nAnswer: -728*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 12\/(-2) + 16 + -10. Solve 15 = d - 3*b, 4*d - b = -v + 5 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/15 in 2\/181, -3, -0.23, -13?\nAnswer: -0.23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 212909210 to the power of 1\/2, to the nearest integer?\nAnswer: 14591","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62932723.\nAnswer: 7, 151, 59539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - 27 = 3*l, -3*l + 11 - 3 = 4*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-868)\/1862 - 20\/(-35)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 26667?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 8700\/69 + 35*176\/(-70840)?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2 - h**5 + h**5 + 5*h**3 - 5*h**3 + (4*h**4 - h**4 - 4*h**4)*(0*h - 3*h + 2*h) - 1470*h**5 + 337*h**5 + 59*h**5.\nAnswer: -1073*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 203*v - 203*v + 3758 - 3766 - 20*v**2.\nAnswer: -20*v**2 - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -19*u + 6*u - 5*u**2 - 2*u + 56. Let b(s) = 45*s**2 + 135*s - 505. Let i(w) = 6*b(w) + 55*q(w). Factor i(a).\nAnswer: -5*(a - 2)*(a + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 15 = o. Solve f + 5*r - 13 = 0, 2*r - o = f - 0*r for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 0, 28, -0.8, 4, -3 in descending order.\nAnswer: 28, 4, 0.4, 0, -0.8, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20 - ((77 - 83) + (1 - 3)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 4 = -5*l. What is the least common multiple of l\/(4 - (-21)\/(-6)) and 4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/7 - (-6)\/28. Let l = 1.5 + -2.5. Let f = l - -0.8. What is the nearest to a in f, -3, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 177, 299, 413, 513, 593, 647, 669, 653?\n\"Answer: -m**3 + 2*m**2 + 123*m + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, c: 1, m: 1, x: 1, a: 1}. What is prob of sequence ckx?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**3 - 4*k**2 + 5*k + 11. Let h(m) be the third derivative of -m**5\/30 - 49*m**4\/24 + 37*m**3\/3 + 197*m**2. Let i be h(-26). Determine j(i).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -229.71 + 0.71. Let b = -228.93 - u. Is b > 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 237967284 or 237967282?\nAnswer: 237967284","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/((a*a**(2\/19))\/a))**49)**(12\/5) assuming a is positive.\nAnswer: a**(9996\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x - r - 4, -5*r = -5*x. Let v(o) = o - 3. Let p(d) = 1. What is x*v(s) - 7*p(s)?\nAnswer: -2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2154 and 2872.\nAnswer: 8616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 3*y - 3. Let r(d) = -d - 1. Let a be r(-1). Suppose a = 2*x - 5*x + 9, -9 = -3*v + 4*x. Is k(v) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (24 - 10)*(-6)\/(-42)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3886? (a) 3 (b) 0.3 (c) -0.5 (d) 2 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*b = 6*v - v - 7, 12*v - 7*v - 3*b = -13 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h**5\/5 + 10*h**4 - 432*h**3\/5 + 544*h**2\/5 + 1024*h\/5 = 0 for h.\nAnswer: -32, -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.84 - -0.6. Let k = -0.44 + x. Let v = -47 + 48. Which is the nearest to v? (a) k (b) -4 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001407615 to five decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 5073703 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -65, 0.5, 77.\nAnswer: -65, 0.5, 77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(11))*1 - (-2*sqrt(176) + sqrt(176))**2)*6.\nAnswer: -1050 + 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the third derivative of 31*p**4\/24 - 19*p**3\/3 - 25*p**2. Differentiate f(s) with respect to s.\nAnswer: 31","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*p + 49*p = 4*l + 1774, 0 = 5*p + l - 8765. What are the prime factors of p?\nAnswer: 2, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3074 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from lllslllslllllls?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k. Let q(l) = 3807*l**2 + 7*l - 2. Determine r(q(s)).\nAnswer: -3807*s**2 - 7*s + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.2, -2\/17, -13?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -43\/967?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-983059)\/(-5257)*(-1)\/(-6)*4*3\/11?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3524 is divided by 560.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -269 and 1236838?\nAnswer: 1237107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w. Let f be s(-4). Suppose 0 = -9*i + f*i + 115. Suppose -29*q + i*q = -1086. What are the prime factors of q?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1\/9492 + 30053\/47460. Calculate the common denominator of x and ((-19)\/(1596\/48))\/((-108)\/434).\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 12 - (12\/(-36))\/(1\/(-21)). Let u(m) = -m + m**3 + 5*m**2 - m**3 + 8 + 6*m**3 - 7*m**3. What is u(h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6448359 is divided by 1611947?\nAnswer: 571","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*i - 5*w - 20, -48*i + 24 = -52*i - 4*w for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 4*f**2 + f + 1. Does 14 divide m(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 11116*t - 24320. Let s(k) = -3724*k + 8107. Let l(d) = 4*b(d) + 13*s(d). What is the first derivative of l(w) wrt w?\nAnswer: -3948","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -174107, -174106, -174095, -174068, -174019?\nAnswer: -173942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12636 + 22201. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -1*(1*sqrt(11)*-6 - (sqrt(1584) + 2))*1)**2.\nAnswer: 252*sqrt(11) + 3613","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 8\/10 + 32\/10 - -2. Is 25 a factor of 4632\/21 - c\/(-14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 386031 is divided by 64316.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 10*t**2 + 6. Let u(d) = d**2 - d. Let g(y) = -2*y - 1. Let n(z) = g(z) - 2*u(z). Give 16*n(p) + 3*o(p).\nAnswer: -2*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -242*z**3 + 24*z**2 - 12. Let s(r) = 81*r**3 - 9*r**2 + 4. What is 3*f(i) + 8*s(i)?\nAnswer: -78*i**3 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7774 + 8574 = -4*p. Let u = 98021\/24 + p. Calculate the common denominator of u and 37\/66.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((984\/615)\/((-12)\/10))\/((-4)\/1).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3374 at least -6165?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*r, -153469 = -3*h + 2*r + 68938. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*l + b = -406, -70*l = -71*l - 4*b + 59. Solve -45*f + 354 = -l for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 13*g**2 - 348*g - 73. What is d(27)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**3 - 8*y**2 + 8*y - 4. Let v be g(7). Suppose -6*m + m + v*d = -1, -5*m + 4*d = 2. Solve 2*t = -z - 1 + 4, -m*t - 4*z = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oopp when four letters picked without replacement from {t: 2, o: 7, p: 6}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 99 - 99.00013. What is n rounded to five dps?\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -40658486 by 1.\nAnswer: -40658486","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -26*n + 31*n - 10. Let q(j) = j + 7. Let f be q(-6). What is the tens digit of f + n + 0 + 43?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (15 - 20) + (0 - -13) + -4 - 27?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1709 - -1706.8. Let u = -0.01 - 1.99. Let y = u - f. Which is the smallest value? (a) -2 (b) y (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 1 = -0*j, -5*d + 40 = -5*j. Let x(i) = -5*i**2 + 50*i + 19. What are the prime factors of x(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 185 divide 1885016?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-1*28))\/(2\/24)\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -12 (b) -1 (c) 19 (d) -561\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -4*w + 2*w. What is the tens digit of 188 + -7 + w - -2?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5559*g**3 - 11144*g**3 + 5597*g**3.\nAnswer: 12*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 4*v + 234 = -38, -2*s = 2*v + 120. Sort -5, -2, s in descending order.\nAnswer: -2, -5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 143\/18 and 43\/2148?\nAnswer: 6444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34 divided by -31016109.\nAnswer: -2\/1824477","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -42*r + 46*r - 8440. Suppose 23*m - 18*m - r = 0. Suppose -2*t - k = -m, -2*t - t - 3*k + 636 = 0. Is 42 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -92800000 to the nearest one million.\nAnswer: -93000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-11))\/(-2*3\/12).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -462*p + 149 = -313*p. Sort -2, -4, -53, 4, p in decreasing order.\nAnswer: 4, p, -2, -4, -53","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 13966 or -0.34?\nAnswer: 13966","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 585000 to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 32604 < 32605?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 70157 = 3*h - 134371, 102266 = 2*l + 2*h. What are the prime factors of l?\nAnswer: 3, 13, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (8\/6)\/(12\/45). Let z be 0\/3 + q - (-1 + 6). Solve z = -2*r + g - 3 - 11, 0 = -2*r + 2*g - 18 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:01 PM and 5:32 AM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -x**3 + 44*x**2 - 43*x = 0.\nAnswer: 0, 1, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/(308\/(-6))*24\/18\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -42655\/5061 - 2\/5061. Find the common denominator of y and (2\/124)\/(15\/205).\nAnswer: 1302","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48158 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: Let p(u) = 0*u - u + 6*u. Let i(o) = -o**2. Determine i(p(c)).\nAnswer: -25*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 96 and 48.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*o + y = -o + 6, -2*o - 6 = -4*y for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 975?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 759*-85927.\nAnswer: -65218593","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - 14 - (-2 + -9 + (-6 - -12))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 40394 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 plus 0.1367483872?\nAnswer: -14.8632516128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -361 (b) 2\/9 (c) -0.3 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hlh when three letters picked without replacement from {h: 2, l: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p - 1. Calculate the lowest common multiple of 8\/(-28) - (-46)\/14 and s(-11).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 5*l + 2. Let j = 762 - 764. Let z(d) = 6*d + 2. Calculate j*z(v) + 3*b(v).\nAnswer: 3*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(-16)*15 + (-6)\/12.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(405) + -2 + sqrt(405) + sqrt(405))*1 - (-5 + sqrt(5) + sqrt(5) + sqrt(50)\/(sqrt(360) + sqrt(10))).\nAnswer: 3 + 174*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 1)*(-62 - 146*l + 62).\nAnswer: 146*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**2 + 17*x - 8. Suppose 548 = 6*p - 1792. Let a = -223 + p. What is the remainder when a is divided by w(14)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1337*-139\nAnswer: 185843","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/28, 1, -1, -2\/7, 25, -0.4 in ascending order.\nAnswer: -1, -0.4, -2\/7, -1\/28, 1, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the third derivative of l**5\/30 + 87*l**2 + 2. Let y(n) = 4*n**2 + 3. Give t(y(r)).\nAnswer: 32*r**4 + 48*r**2 + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 95 equal to 99?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand q + 0*q + q + (0*q + 3*q - q)*(2 + 3 - 6) - 94 + 4*q + 47 + 51.\nAnswer: 4*q + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -10220111 (base 3) in base 5?\nAnswer: -42343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 70d5 (base 14) to base 12\nAnswer: b283","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.5+-694619.528\nAnswer: -694620.028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y + 26 = -4*y. Suppose 0 = -d + 36 - y. Is d a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3621613 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/10*(-90)\/(-12)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16798 + 16825. Which is the closest to 3? (a) t (b) 1\/9 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -366 <= -366?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91 = 13*t - 20*t. Solve x = -2*p + t, 0 = x + 5*p - 8 - 17 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.1 (b) -3 (c) -4 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:24 AM and 7:12 PM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-1*sqrt(3645))\/sqrt(9).\nAnswer: -54*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, g: 5, v: 1, n: 3, q: 1, u: 1}. What is prob of picking 1 t and 1 v?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 91, 3, 461426, 1.\nAnswer: 1, 3, 91, 461426","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 + 3. Let v = o + -4. Let f = v + -2. Is f a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 - 2. Let j = 10.798 - 15.798. Which is the smallest value? (a) -1 (b) -5\/18 (c) y (d) j\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(40)\/(sqrt(5)*-1*1))**2 + -4 + ((sqrt(72)*-2)\/sqrt(9) - (sqrt(288) + -2 - sqrt(288))**2).\nAnswer: -4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the second derivative of u**4\/12 - 13*u**3\/6 + 2*u**2 + 10*u. Let w be x(13). Solve -4*l - d + 22 = 0, -13 + 43 = w*l + 5*d for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the first derivative of -965*w**2\/2 + 1248*w - 39. Differentiate h(f) with respect to f.\nAnswer: -965","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q + 3*v - 362, 4*v = -1 - 3. Let n(m) = 87*m**2 - 79*m**2 + m + 73 - q. Let l(c) = 3*c**2. Calculate l(n(g)).\nAnswer: 192*g**4 + 48*g**3 + 3*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 2*j**2 + 35*j - 34. Let v(w) = -3*w**2 - 36*w + 33. Let r(y) = -4*l(y) - 3*v(y). Let u be r(31). Solve 2 = z + u for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -8672.59 and -64.\nAnswer: -8736.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19, 66, 113, 160, 207?\nAnswer: 254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(2*sqrt(204)*2 - sqrt(204)))\/(-6*((sqrt(12) - (sqrt(12) - sqrt(60)\/(sqrt(5) - sqrt(5)*-2))) + sqrt(12))) + 3.\nAnswer: 3 + 3*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 2*x + x = -96, -5*d + 5*x + 120 = 0. Calculate the remainder when d is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = 4*a + 1872 - 12136, 5*a - 3*k - 12822 = 0. Let w = 13 - 1. Suppose -a = -w*y + 399. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 141*s - 17. Let v(p) = 283*p - 31. Give -6*v(i) + 11*x(i).\nAnswer: -147*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -373 + 2*v**2 - 373 + 0*v**2 + 746.\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -153253 (base 6) in base 9?\nAnswer: -22526","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 44335672 to the power of 1\/2, to the nearest integer?\nAnswer: 6659","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1403 divided by 6811\nAnswer: -1403\/6811","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -8\/21 and 26\/9778347.\nAnswer: 68448429","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -4264, -16343, -36494, -64711, -100988, -145319, -197698, -258119?\n\"Answer: t**3 - 4042*t**2 + 40*t - 263","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2639 or 4992?\nAnswer: 4992","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a + 6*a - a)*(4 - 3 - 2).\nAnswer: -5*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 3, 2, 48593, -11, -1\/12?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 350462051 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -13144 (base 9) in base 15?\nAnswer: -2964","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -1, -2\/9, -1\/3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 98*4\/(20\/1405). Suppose t = 5*g - 12962. What is g rounded to the nearest one thousand?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from {v: 4, u: 2, d: 1, a: 12}?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(2\/3))**10*l**(-5)\/((l\/(l*l**(-6\/5)*l)*l)\/l)*(l\/l**0)**28\/(l**(3\/7)\/l**(-2\/15)) assuming l is positive.\nAnswer: l**(607\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 8*k = 1028. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(28)\/(sqrt(4) + (sqrt(4) - (sqrt(96)\/sqrt(2))\/sqrt(12))) + 1 + -5 + 3 + sqrt(7))**2*3.\nAnswer: -12*sqrt(7) + 87","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 65556 or 65690?\nAnswer: 65556","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -248679, -248677, -248675, -248673, -248671, -248669?\n\"Answer: 2*j - 248681","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -115*d**2 + 1780*d + 1895 = 0?\nAnswer: -1, 379\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + o = -4*o + 23, f - 7 = -2*o. Which is the closest to f? (a) -2\/9 (b) -0.1 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:44 AM and 6:48 PM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from obcoo. Give prob of picking 1 c and 1 b.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = g - 5, 4 + 1 = -2*t + g. Suppose -2*a = -1 + 3. List the prime factors of (3 - t) + (-13)\/a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 2\/13, 8.6, -0.2 in descending order.\nAnswer: 8.6, 2\/13, 0, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.8*1004\nAnswer: -803.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 56, 51, 42, 29, 12, -9?\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - 2*t + 26 = 0, -5*l + 43*t - 31 = 41*t for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 868 and 11036?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 - -2. Suppose -3*z - 6 + w = -d, -d + z = -5. Solve d*m + 0*o - 18 = 2*o, 5*m + o - 6 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 84250901 to the power of 1\/2, to the nearest integer?\nAnswer: 9179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (51\/(-102)*3)\/((-33)\/2)\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h - 16*n + 43 = -189, 0 = -h + 3*n - 47 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve x = 0, 387*w - x + 12 = 391*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-50)\/(-20)*(-9)\/15?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3556\/45 - -404\/5. Let b = 53\/45 - k. What is the smallest value in 0.5, 1\/3, 2, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -17139 and 354.\nAnswer: -16785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42632866?\nAnswer: 2, 41, 43, 107, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 1353*a**3 + 11*a**2 - 2705*a**3 + 1351*a**3 + 13. Give z(11).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppxpppx. What is prob of sequence xxpp?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -3144, -6277, -9400, -12519, -15640, -18769, -21912, -25075?\n\"Answer: -j**3 + 11*j**2 - 3159*j + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 28 and 161?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(320) + sqrt(30)\/(1*sqrt(6)))**2 + 3 + -4.\nAnswer: 1444","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*i + 6 = -17*i. What is the highest common factor of i and 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l, 1 a, and 1 h when four letters picked without replacement from aahallahaaalal?\nAnswer: 96\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, -0.03, 0.00515?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -22\/5043829 and -31\/189.\nAnswer: 136183383","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 38*s**2 - 6*s - 8. Let f be w(-2). Let c = f - 144. Calculate the remainder when 46 is divided by c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.0505013 months in millennia?\nAnswer: 0.000087541775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16179417 is divided by 205.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 603458, 603483, 603494, 603485, 603450, 603383?\nAnswer: 603278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:38 AM and 4:41 PM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**2 + 147507*n - 73753.\nAnswer: -(n - 73753)*(2*n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72884 is divided by 24287?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v\/v**(4\/9)))\/v**(-7)*((v*((v\/(v\/v**(-3\/4))*v*v)\/v)\/v)\/v)\/(v*((v\/(v\/(v*v**(2\/23))))\/v)\/v))**(23\/4) assuming v is positive.\nAnswer: v**(5471\/144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2.2572 and -20638093?\nAnswer: 20638095.2572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddu when three letters picked without replacement from didluipidpsi?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**3 + 6*u**2 + 14*u - 22. Let i = 360 + -228. Calculate the remainder when i is divided by o(-3).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46603842 a multiple of 502?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(165)*2 - sqrt(165))\/sqrt(11))\/(-2*sqrt(500)).\nAnswer: -sqrt(3)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -3*u**2 - 7*u + 6. Let b = 202 - 213. Let j(q) = -7*q**2 - 13*q + 11. Determine b*x(w) + 6*j(w).\nAnswer: -9*w**2 - w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -42*n**4 - 28*n**4 + 7*n**4 - 9*n + 7*n**4 - 17 + 82*n**3. Let f(x) = 2 - 41*x**3 + 1 + 28*x**4 + 5*x + 5. Let c(z) = 13*f(z) + 6*w(z). Factor c(v).\nAnswer: (v - 1)**2*(4*v + 1)*(7*v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -273 - -79. What are the prime factors of -5 + 7 - 4 - s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the third derivative of -12*p**6\/5 - p**5\/60 - p**4\/24 - p**3\/3 + 11*p**2. Let a be k(-2). Round a to the nearest one thousand.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 970 is divided by 103?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 431763 by 2.\nAnswer: 431763\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 120 and 210?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.21 in -5, -0.4, -2\/7, -735, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -75*f - 128*f + 68*f + 2420 + 7840 for f.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cghvqvvv. Give prob of picking 1 q, 1 h, and 1 g.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**2 + 58. Let l(m) = -m - 3. Let o be l(-3). Suppose o*i = i. Is z(i) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 2*x - x - 4*x**2 + 12*x**3 - 11*x**3. Determine l(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the second derivative of -o**4 + 35*o. Let r(m) be the first derivative of -3*m**2\/2 + 349. What is r(c(j))?\nAnswer: 36*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 52791581 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -28343 or -850321\/30?\nAnswer: -850321\/30","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 - -391?\nAnswer: 391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*l = 2*l - 154. Let w = 17 - l. Let n(a) = a**3 + a**2 - a - 1. Let t(b) = 4*b**3 + 3*b**2 - 3*b - 3. Determine w*n(m) - t(m).\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, 3, 0.123, -0.1, -108?\nAnswer: 0.123","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -2*u. Suppose -2*y + 16 = -y - 4*a, -3*a = -2*y + 22. Let t(p) = -2*p - 4*p + p. Determine y*b(h) - 3*t(h).\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 4 - 1)*(1 - 9*z - 3 + 10*z) as t + i*z and give t.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((114\/30)\/19)\/(-1)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4423642 is divided by 1186.\nAnswer: 1048","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -19.2 - -19. Which is the closest to 1? (a) s (b) -0.5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1157, 3583, 7011, 11447, 16897?\nAnswer: 23367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 243*p**3 + 242*p**3 - 471*p**3 - 3 + 2 + 3 + 2*p**2 - 6*p**4 as g*p**2 + o*p**3 + j + d*p + a*p**4 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.01, 49, -9, 0.2?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68*u - 64*u - 68 = -2*f, 0 = -4*u + 5*f + 26. Solve a - 2*h + u - 1 = 0, -3*a = -3*h + 24 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - 2284?\nAnswer: -2286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.9 + 3.9. Is -0.2 at least as big as o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.1767567631 - -887.1772157631. Let g = -887 + q. Round g to 4 decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.11, 1\/3, 2.64, 0, -1.9, -4.\nAnswer: -4, -1.9, -0.11, 0, 1\/3, 2.64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-18)\/i**(-8) assuming i is positive.\nAnswer: i**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 divided by -53?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5.5 and -1990?\nAnswer: -10945","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zvvdggggvzgggggvvzzg. Give prob of picking 1 d and 3 v.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -15.4 - 1747.9.\nAnswer: -1763.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(304))**2 + 1 + sqrt(684) + 0.\nAnswer: -2*sqrt(19) + 306","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/6 in -7, 0.5, 24, -4, -3.1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 + -1. Suppose -4*s - 11 = f. Is -3 <= s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -40*k**2 + 154*k - 736. Let y(d) = d**2 + d. Let n(v) = 2*t(v) + 76*y(v). Determine w, given that n(w) = 0.\nAnswer: 4, 92","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + f + 24 = 4*h, -23 = 3*f - 4*h. Suppose -104 = -5*p - 0*b + 3*b, p + b - 24 = 0. Let t = p - 47\/2. Which is bigger: t or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -30, -20, -30950 in decreasing order.\nAnswer: -20, -30, -30950","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (100\/(-7350)*-21)\/(69\/(-42)).\nAnswer: -4\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 - -6. Let d be ((-1)\/(-3))\/((-7)\/21). Let b = 0 + d. Sort b, u, -2 in descending order.\nAnswer: u, b, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -8, 8, 5, 22, -2 in decreasing order.\nAnswer: 22, 8, 5, -2, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*f - 32*f = -938259. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -71341\/4 at least as big as -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*y**4 - 3 + 58*y - 58*y)*(-5 + 3 + 0).\nAnswer: -14*y**4 + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 2*t = -4. Suppose 3*g + t - 1 = -3*k, 0 = 3*k - 2*g - 17. Is 8 a factor of -2*(4*-3 - k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 225*v**2 + 260*v**2 - 175*v + 347*v - 175*v.\nAnswer: 485*v**2 - 3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1097914?\nAnswer: 2, 548957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -54 - -55. Let u be (-3 + -4 + 3)\/w. Let f be u\/10 - (81\/5)\/(-3). What is the closest to 2\/3 in 4, 3, f?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -2*a + 17. Let c be h(7). Let j(w) = -w + 3*w - 3*w**2 - 4*w - c + 4. Give j(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 66?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 95 and 171?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -18 (b) -5 (c) 2\/7 (d) 156 (e) -0.4 (f) -1.03\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 - -3) + -3 + 4. Let a be (f\/5)\/((-8)\/(-20)). Solve -a*x - 6 = -0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3 - 5)\/((-2)\/312). Suppose x - 4*q - 163 = 0, -4*x + 6*x - q - o = 0. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111011011 - -100001011010110000?\nAnswer: 100001010011010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 412423 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 687 is divided by 32.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 31*r**3 + 2*r**2 + 62 wrt r?\nAnswer: 93*r**2 + 4*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -1 + (sqrt(17) + 3)**2 + -4 + sqrt(17) + ((sqrt(204)*-3 + sqrt(204))\/sqrt(12))**2 + sqrt(425)*2)*3.\nAnswer: 51*sqrt(17) + 264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*a**4 + 5218*a**3 + 51528*a**2 + 71528*a - 21184 = 0 for a.\nAnswer: -8, -2, 1\/4, 662","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/14 - (-96)\/28. Let b(l) = 3*l - 4. What is the units digit of b(f)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 0*o + 5*h = 4, 4*h - 6 = -2*o. Suppose o*j + 201 = 838. What is the tens digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2626035, 5252128, 7878221, 10504314, 13130407?\nAnswer: 15756500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -2311a (base 12) to base 2\nAnswer: -1011011011100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 56826 by -231.\nAnswer: -246","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/6 and 28\/1507?\nAnswer: 9042","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1059 + 5083 - 3*c**3 - 6*c + 5*c.\nAnswer: -3*c**3 - c + 6142","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 223685903 to the nearest integer?\nAnswer: 607","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 262115.\nAnswer: 5, 7, 7489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 91031?\nAnswer: -2\/91031","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven quarters of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 576156 and 84?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 14442814*h**4*s - h**3*s*u + 7024519*s*u + 6*s + u wrt h?\nAnswer: 57771256*h**3*s - 3*h**2*s*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w + 3*z + 12 = 0, -96*w + 3*z = -99*w - 12 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 10\/(-28) + (-3)\/21. Let w = 88 - 49. Let n = -40\/3 - -13. Which is the biggest value? (a) 0.3 (b) w (c) n (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 + -474*(1 - 5)\/(-8). Let y = -200 - k. Is y a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 + 92779?\nAnswer: 9277b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 171722754 a multiple of 378?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -124*i + 6568. Give s(53).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 2*j - 34807 + 34807. Let f(x) = 2*x - 5*x + 0*x. What is i(f(t))?\nAnswer: -6*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (-1 - (5 + -9)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*d**2*n**5 - d**2*n**3 + 141*d**2*n**2 - 2*d**2 + 534*n**3 - n**2 + 32*n wrt n?\nAnswer: -420*d**2*n**2 - 6*d**2 + 3204","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 192 is divided by 39?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = b + 157, -221 = -4*i + 8*b - 9*b. Calculate the remainder when 583 is divided by i.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55324723 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.010919 rounded to 4 dps?\nAnswer: 0.0109","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/13? (a) -0.3 (b) 1\/4 (c) -464 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -863 - 3*p + 863.\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 - 1 - 3\/9*-3. Let t(h) be the first derivative of -h**3\/3 + 2. Give t(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2663*k*t**3 - 10*t**3 - 28 wrt k.\nAnswer: 2663*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -37600000 to the nearest one million.\nAnswer: -38000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**46*p\/(p*(p**15*p)\/p*p))**22 assuming p is positive.\nAnswer: p**682","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 27 divided by -3\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 0*d + 44 = -d, 0 = -5*w - d + 64. Let h(n) = -n**3 - 5*n**2 + 5*n + 6. Let k be h(-6). What is the highest common divisor of w and k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 + (14 - (3 - 0)). Suppose -10 = -4*t + p. Suppose -2*o = -t*o + 225. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:59 AM and 1:28 PM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 5*s**2 - 6*s + 3. Let l be n(2). Suppose -4 = 9*y - l*y. Find t, given that 20\/3*t - 3*t**3 + 2*t**y + 8\/3 = 0.\nAnswer: -2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1331) - (-1 + sqrt(1331)))**2 + (-1*sqrt(891) + sqrt(891))**2 - (5 + (-3*sqrt(55)\/sqrt(5))**2).\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17479, 0.52, -4.\nAnswer: -4, 0.52, 17479","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1860571.\nAnswer: 1860571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 93043?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*x**2 - 4*x**2 - x**2 - x**2.\nAnswer: -8*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 210*y = 5*h + 209*y - 207, 5*h = -3*y + 219. What is the lowest common multiple of h and 1113?\nAnswer: 2226","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2, 8, 18, 32?\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 359 is divided by 26.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 11215363 to the nearest one million.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, s: 9}. Give prob of sequence ss.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 16*k**2 - 3*k - 3. Suppose -27 - 1 = -v - 5*g, 0 = -4*v + 2*g + 2. Suppose 5*b - 1 = 4*f - 3, b = -v*f - 8. Is j(f) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 - (23 + -5 + -91 + 24)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmmhmhmmhmmmmhhmm. What is prob of sequence hhhm?\nAnswer: 13\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -574 + v + 572 + 2*v**2 + v**3 - v**2 to the form c*v**3 + a*v**2 + q*v + g and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -0.01354.\nAnswer: 4.98646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -622382913977*g - 6*g**2 + 622382913977*g.\nAnswer: -6*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 65 - 80. Let n = j - -22. What is the closest to n in -3, -0.4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 516095711?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 3*b = 4*k + 11, -4*k = 2*b for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -116*p = 58*p - 1563390. List the prime factors of p.\nAnswer: 3, 5, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 257188, 257183, 257176, 257167, 257156, 257143?\nAnswer: 257128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33509 - 262711 = -6*n. Suppose 7*c + 3*c = n. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a - 20 = 4*l, -10 = 4*l + 6 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.74 in 1207, -1\/2, 2\/9, -0.4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**2 + 6*n + 4. Let p be z(-4). Let c(r) = r**2 + 4*r + 4. Calculate c(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 912031 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -482 - -482. Solve -3*g - 15 = -t*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 + 9. Solve -v*z - z = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/(-6) + 2 + 22267\/42. Suppose n + 6*i - 3*i = 261, w = 2*n + i. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 911, 2 in increasing order.\nAnswer: -9, 2, 911","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1.12*0.1470588\nAnswer: -0.164705856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 5800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xvvvxvvxxxxx. What is prob of sequence vx?\nAnswer: 35\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 8 - 4)*(-5 + 0*x + 3 - 6*x) in the form d*x + q and give d.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 7*m + 212. Determine b(-29).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 159 + -179. Let v = -20.0341 - z. Round v to 2 dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2*(4 + 90\/(-12)). Suppose -50 = -n*a - 3*a. Calculate the remainder when a is divided by (-6)\/10 + (-13)\/(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 - 14?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.4 + 2.4. Let r(f) = f + 4. Let u be r(-5). Let x = 0.7 - 0.7. What is the nearest to u in x, g, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 12*x + 3. Let m be (-4)\/(-5)*525\/140. Let t(r) = 6*r + 2. Determine m*z(k) - 5*t(k).\nAnswer: 6*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53370 is divided by 518?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 9*x + 14 = 0. Which is smaller: x or -2\/197?\nAnswer: -2\/197","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 1 = -5. Let y(d) = -4*d**3 - d**2 - 2*d - 3. List the prime factors of y(i).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/31? (a) 0.05 (b) -0.2 (c) 3\/7 (d) 1\/7 (e) 16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 2*f - 15. Let j be i(7). Suppose 0 = 3*x - 43 - 59. Let n = x + j. What is the remainder when n is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 10) in base 6?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 12*z + 1. Suppose 4*l = l - 26*a + 150, -3*l = 3*a - 12. Let d(t) = -3*t. Determine l*w(m) - 9*d(m).\nAnswer: 3*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 307 + 50. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 4)*(-3*s + 17*s + s) + (-s + 4*s - 5*s)*(2 + 0 - 10) + (-4*s + 2*s + s)*(-1 - 5 + 4) + 0*s + s + 0*s - 3*s - 2*s + 3*s.\nAnswer: 47*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5836\/5 + 1167. Put -6\/7, 10, c in descending order.\nAnswer: 10, c, -6\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 6*v. Let o(h) = 4*h + 5. Let x(u) = u + 1. Let k(j) = -o(j) + 5*x(j). Determine b(k(y)).\nAnswer: 6*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (44\/6 - 7)*(-99)\/(-1). Let p(l) = 25*l - q*l - 8*l. What is p(-2)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (84\/98)\/((-1)\/35). Let f be l\/(-25)*15\/(-2). Let v be 107 + (f\/3 - -4). What is the greatest common factor of v and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6\/37 + 116\/259. Which is the closest to g? (a) -1\/3 (b) -0.1 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -505*i = -128*i + 130*i - 11661 for i.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -117 + -18 + (2 - -7). Let p be y\/84 + 21\/(-2). Let r = 0.2 - 0.3. Which is the closest to r? (a) 3 (b) 0.4 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llllllulllllllllllll. What is prob of picking 2 l?\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -5*n + 568 + 114, 3*d - 140 = -n. Let u = -549\/4 + n. Let k = -1.1 + 0.4. What is the closest to u in 0, 5, k?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 401279200?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 130*g**5*h - 458*g**4*h - 22*g*h - 2*g - 2846*h + 1 wrt g?\nAnswer: 2600*g**3*h - 5496*g**2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -11595, -11564, -11525, -11484, -11447, -11420, -11409, -11420?\n\"Answer: -i**3 + 10*i**2 + 8*i - 11612","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 205 and 1681.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes before 1:49 AM?\nAnswer: 10:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -5*r, -w - 2 = -4*w + 2*r. Let a be -5 - w - (0 - 3). Let s be (-1)\/(-3) + (-23)\/42. Is a smaller than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1446 - 2668. Let z = i + 2091. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88)\/(2*sqrt(1331)))\/((sqrt(4) + (sqrt(4) - (sqrt(16)\/sqrt(4) + sqrt(4))))*-4 - (sqrt(324) - sqrt(324)*-2)).\nAnswer: -sqrt(2)\/594","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83 = 3*m - h, -m + 109 = 3*m - 3*h. What is the remainder when m is divided by 27?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 3*s - 15 = -0*s, s + 13 = 2*k. Solve k = g + 8 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.27 in -3\/4, 5, 0.1, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4165 by 17.\nAnswer: -245","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 9656.344 rounded to the nearest one thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 248 + -69. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**3 + 6*s**2 - 11*s + 4. Give o(-8).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 4 + 3)*(3*j - j - 8*j)*(0 + 0 - 1).\nAnswer: 12*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4054127070.\nAnswer: 2, 3, 5, 7, 167, 115601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9155968 divided by -4912.\nAnswer: 1864","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 4268?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 82361374 and 876?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -26015 - -26013. Which is the fourth biggest value? (a) t (b) 65 (c) 1 (d) 0.17 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -5*(-15)\/(-75)*((-2)\/(-6))\/(-1). Suppose -k = 4*n - 20, 0 = 4*n - 16. Which is the nearest to x? (a) k (b) -2\/25 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 0 + 3)*(7*r**2 - 175*r + 175*r) + (-3*r + 0*r + r)*(0*r + r - 2*r) - 2*r**2 - 1 + 1.\nAnswer: -7*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0.5, 2, 3\/7, 3 in ascending order.\nAnswer: 3\/7, 0.5, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 545254140?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9425 - -9428. Let j(u) be the third derivative of 0*u**4 - 1\/120*u**6 + 0 - 26*u**2 - 1\/20*u**5 - 2\/3*u**p + 0*u. What is j(-3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2848834?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -c32b (base 16) to base 13.\nAnswer: -19984","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -155*l**3 - 4 + 156*l**3 + l + 3 - 12*l**2 in the form i + q*l**2 + x*l**3 + t*l and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 61*a - 242*a + 1086. Let f(t) = 2*t**2 - 4*t + 1. Let m(o) = -o**2 + o. Determine a*m(p) + f(p).\nAnswer: -4*p**2 + 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -50979, -101957, -152937, -203925, -254927, -305949?\n\"Answer: -h**3 + 5*h**2 - 50986*h + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06 times 28.155?\nAnswer: -1.6893","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27842.121 nanoseconds to minutes.\nAnswer: 0.00000046403535","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*d**2\/13 + 1244124*d\/13 - 8708770\/13 = 0. What is d?\nAnswer: 7, 622055","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 3, m: 1, o: 1, h: 5, e: 3, s: 4}. What is prob of picking 1 h, 2 u, and 1 o?\nAnswer: 3\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 384\/4 + (1 - -2). What is the greatest common factor of 33 and f?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 + 12 - (-1 - 2)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 168327773.\nAnswer: 3169, 53117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -515000 rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -584, -3558, -11632, -27356, -53280, -91954?\nAnswer: -145928","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -631\/1634?\nAnswer: -631\/1634","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2557, -9649, -21439, -37927, -59113, -84997, -115579?\nAnswer: -150859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5)\/4 + (-999)\/(-2220). What is the smallest value in 0.5, 6, r, -1\/11?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 144380 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 894.021us?\nAnswer: 0.000894021","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -225 (base 8) to base 7\nAnswer: -302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6599356821?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 55 - 48. Suppose -o*p + 3*p = -428. List the prime factors of p.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dddd when four letters picked without replacement from {d: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 - 11. Let w = u - -6. Let f be ((-2)\/12)\/((-3)\/(-4)). Which is the closest to w? (a) 1 (b) f (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -2*k + 5*k, 5*v + k = 0. Suppose -3*y + v*y = -81. Suppose 9 = -6*c + y. Solve -3*z = c*w - 3, 0 = -2*z - 4*w + 12 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -154*y + 157*y = 90. Suppose -4*f = -5*k + f + y, -4*k + 9 = f. Solve 5*o + 0*z = 5*z, 0 = -k*z + 15 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 24 = 2*b, -b - 2*v - 4 + 0 = 0. Let y be (9\/(-45))\/((-3)\/(-15)). Is (y\/1)\/(b\/(-940)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 21*p - 1. Let r be w(1). Let h(s) = -3*s. Let d be h(-3). Let m = r - d. Is m a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 - -1.05. Suppose 0 = -5*y + 44 - 39. Which is the biggest value? (a) 4 (b) y (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 0 + 0 + (1 + 1 + 0)*(3 - 3 - 2))*(5*q + 8*q - 3*q) to the form c*q + z and give c.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the third derivative of 0*z**6 + 3*z**2 - 59\/210*z**7 - 3*z + 1\/8*z**4 + 13\/6*z**3 + 0 + 0*z**5. What is the second derivative of j(h) wrt h?\nAnswer: -708*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(17) + -2 + -1)*1)**2.\nAnswer: -6*sqrt(17) + 26","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.5 (b) -1 (c) 1 (d) 35\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2\/627 (b) -1660\/11 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 504 + -506. Let h = 1008 + -1008.2. Let l = -2 - -1. What is the closest to s in l, h, 3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 228 + -112. Suppose y - 4*a = 64, r = 2*y - 3*a + a. Is y a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -94 - 309. Let r be 7480\/12 - (-1)\/(-3). Let k = r + q. Does 20 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -50 + 53. Suppose l*b = b - 15*b. Which is greater: b or 3\/62?\nAnswer: 3\/62","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/4 of a day?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:01 PM and 2:30 AM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r - 2*r. Let q = -26\/203 + 12\/29. Which is the second smallest value? (a) -3 (b) q (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1047, -1077, -1125, -1197, -1299, -1437, -1617, -1845?\n\"Answer: -u**3 - 3*u**2 - 14*u - 1029","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(57) - -2*sqrt(57))\/sqrt(3) + sqrt(171)*1)**2.\nAnswer: -3420","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 699*b + 699. What are the prime factors of v(15)?\nAnswer: 2, 3, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7479 divided by 1?\nAnswer: 7479","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1266?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(19\/3))\/m*m**(-2\/71) assuming m is positive.\nAnswer: m**(-1355\/213)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4950*c**3 - 3661*c wrt c.\nAnswer: 29700*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 963 - 963 - 8*h.\nAnswer: -8*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 132976165?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**1*m)\/m)**33*(m*m*m**(-1))**(-9)*(m**(1\/13)\/m*((m\/((m**4*m)\/m))\/m)\/m)\/(m**(-1\/12)*m**(1\/3)\/m*m) assuming m is positive.\nAnswer: m**(927\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 2*q - 36 + 98, -2*o + q + 133 = 0. Let a = 200 - o. Suppose b + 2*w = 2*b - 50, -3*b + a = 3*w. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 13) to base 6\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - 62 = -3*s, 12*m + 11 - 3 = 4*s for s.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in seven quarters of a gram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*6*1*(-20)\/560?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r = 5*a + 2, 0 = a + 2*r - 1383 + 1369 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 23 times 0.0999188\nAnswer: 2.2981324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70 is divided by 59?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2430400.8900658 and -0.1.\nAnswer: 2430400.7900658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 151776 by -37944.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 40, 78, 116?\nAnswer: 154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*w + 73*w - 368 = 0. What is the hundreds digit of ((-3)\/(-6) - (-4)\/w) + 975?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.3 + 0.7. Let t = -255.2 - -255. Which is the nearest to -2\/3? (a) t (b) -0.08 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -38, -79, -146, -239, -358?\nAnswer: -503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v + 1. Suppose -4*i - a = -25, 2*a - 11 - 9 = -2*i. Give w(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11607?\nAnswer: 3, 53, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 8*x - 2 + 3)*(-x**2 + 2 - 2).\nAnswer: -8*x**3 + x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 5374 a factor of 5229520010?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1310 - 1205. Suppose 3*a - 3*q = 216, 2*q = -3*a + q + 224. Let d = y - a. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-568)\/(-144) + -4)\/((-2)\/6). Factor 1\/3*y + a + 1\/6*y**2.\nAnswer: (y + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -3*x - z + 184, 2*x - 3*z - 117 = 0. Let b = x + -36. Calculate the greatest common divisor of b and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - (-1 + -7)) + -6 + -5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3816067*g**5 - 4*g**4 - 32*g + 66083 wrt g?\nAnswer: -76321340*g**3 - 48*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -29219214 or -262972918\/9?\nAnswer: -29219214","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(1\/31)*g**20\/g assuming g is positive.\nAnswer: g**(590\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1144 - 22?\nAnswer: 1122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*f - 1310 = 69*f + 2887 + 1362 for f.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -19, 0, -346, -2\/5, 0.4 in descending order.\nAnswer: 4, 0.4, 0, -2\/5, -19, -346","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11460256 is divided by 8464?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 q when two letters picked without replacement from ngaggqrgrrna?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -l**3 - 3*l**3 + 6*l**3 + 2*l**3 + 11*l**3 - 6*l**3 + (2*l**2 - 2*l**2 + 2*l**2)*(5 - 5 - 2*l) + 3*l**3 - 3*l**3 - l**3.\nAnswer: 4*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d\/(d**6*d)*d))**(-10\/21) assuming d is positive.\nAnswer: d**(-20\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.3*852.\nAnswer: 1107.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 5*m + 2 = -18, -3*m = 9. Suppose 5*y - 3 = u. Solve y*n = n + 1 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 j when two letters picked without replacement from uujuiiuugi?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 2*a - 2. Let c be n(2). Suppose 4*m + j + c*j = 54, 2*m - 20 = 2*j. List the prime factors of m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44 = 2*u - 4*g, -928*g + 60 = -5*u - 968*g for u.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 177 a factor of 371877?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (45 - 24) + -20 - -5.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -7 + 8 + 18 - 12*x + x**2. Let f(y) = 12*y - 252. Let c be f(22). Is s(c) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82*z + 28 - 161 - 687 = 0 for z.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*u**5 + 596*u**4 - 24*u**2 - 115*u wrt u?\nAnswer: -240*u**2 + 14304*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 5*x = 0, -o = -4*x - x. Suppose 5*t - 2 = 2*v + 3, o = -t + 2*v + 9. Let f be (t + 8\/(-4))*-1. Which is greater: f or -2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -104c8 (base 15) to base 11.\nAnswer: -35942","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/64*-1*4)\/(-2)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105*b + 64640 = -101*b. Suppose -157*l + 177*l = b. List the prime factors of l.\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (6\/(-8))\/(16\/320). Let x = -11 - i. What is the second derivative of -2 + 2 + 0*l**4 + 2*l**x - 4*l wrt l?\nAnswer: 24*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4\/(-14) - 12\/(-42))\/3. Let x be -20 + -10 - (0 - v\/(-2)). Is 25 a factor of 2\/(-5) + (-2382)\/x + 1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10a95 (base 11) to base 15\nAnswer: 4ada","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 5*v - 2*v + 7, 4*d = -4*v - 28. What is the common denominator of -79\/292 and 54\/(-40) - (4 + d)?\nAnswer: 1460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + 0 + sqrt(2448) + sqrt(2448))**2 + sqrt(2448))*3.\nAnswer: 612*sqrt(17) + 29424","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 892, 1787, 2642, 3451, 4208, 4907, 5542?\nAnswer: 6107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 285*m**3 + 0*m**2 - 2*m - m**2 + m**4 + 2*m**2 - 201*m**3 + 1 - 2 to u + g*m**4 + h*m**2 + y*m + n*m**3 and give n.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -153.7 + 154. Which is the biggest value? (a) r (b) -4\/3 (c) -6 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/9)\/((-2495)\/(-1497))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42381281 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29571.\nAnswer: 3, 9857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -7*b**3 + b**2 - 1. Let s = -40 - -21. Let h = s - -18. What is i(h)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -50 - 10. Let w be v*(-5)\/((-25)\/(-6)). Let n = -26 - w. Solve 15 = 5*q, 4*f - q - n = 7 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28, 51, 76, 103, 132?\nAnswer: 163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5357529294?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2*-2)\/(6\/(-9)). Let z(w) = -6*w + 4. Let n = -8274 + 8285. Let g(p) = 3*p - 2. What is l*z(x) + n*g(x)?\nAnswer: -3*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 26*r + 3. Let q(x) = 1403*x + 161. Calculate 161*f(a) - 3*q(a).\nAnswer: -23*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3520\/744 + (-14)\/3. Which is the closest to -0.1? (a) w (b) -6 (c) -5 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(50\/6)*20\/15\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6024.52 nanometers in centimeters?\nAnswer: 0.000602452","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence obob when four letters picked without replacement from {g: 1, o: 4, b: 2}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 23*i - 177. Let a be c(8). Which is smaller: -22 or a?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(121) + 1*(5*sqrt(121) - sqrt(121)))\/sqrt(11))**2.\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/9 of a hour in seconds?\nAnswer: 8000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 3*t**2 - 18*t + 21. Let k be l(-9). Let g = k - 244. What is the tens digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 12 = -4. Let c be 4*(-3 + w\/(-1)). Let k(u) = 6*u**2 - 6*u + 5. Is k(c) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qea when three letters picked without replacement from qaqeeaqqeegtqeaa.\nAnswer: 5\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.03115 - 34.85885. Let q = w + -342.81. What is q rounded to the nearest ten?\nAnswer: -380","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 + -2. Let s = k + -3. Which is the third biggest value? (a) -2 (b) 2\/5 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:40 AM and 9:15 AM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1299\/176 + -113\/44. Calculate the common denominator of b and -17\/9.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -24 (b) 37\/20 (c) 1 (d) -5 (e) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 63 + 52. Let g = 122.45 + -15.45. Let r = g - o. Which is the smallest value? (a) 2\/3 (b) 0.4 (c) 2 (d) r\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 4*t**2 - t - 1. Let p(i) = 3*i**2 - i. Suppose -8 = -7960*u + 7956*u. What is u*w(h) - 3*p(h)?\nAnswer: -h**2 + h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j**3 + j**3 + 2*j**4)*(-j + 15*j - 2*j) + j**3 - 2*j**5 - j**3.\nAnswer: 22*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1032687*p - 10*p**2 - 1032687*p.\nAnswer: -10*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 414 = -3*k + 391, 6*b = k + 31 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1010 by 6.\nAnswer: 505\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times 10345893\nAnswer: 5172946.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6898, -13793, -20688, -27583?\nAnswer: -34478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 2\/3*w - 1\/6*w**4 - 1\/2*w**2 - 2\/3*w**3 + 2\/3 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 177 and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -29 - -34. Suppose -h*d = -4*d - 3. Let g(m) = m + 2*m**3 + 5 - m**d - 5. What is g(-1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o - 0*o + 12. Suppose -u - 38 = -5*w, -u - 29 = w + o*w. Let v = 53 + u. Solve 4*c + 0*c = v for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -63*o + 495. List the prime factors of y(-19).\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -243473 (base 15) to base 6.\nAnswer: -101044143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/8 of a kilometer in meters?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1003*c + 160*c + 151*c + 466*c + 170*c.\nAnswer: -56*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 226 (b) -1\/2 (c) 1.3 (d) -0.4 (e) -60 (f) 2 (g) 2\/3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 733*n**2*p**3 - 91*n**2*p**2 + n**2 - 4688 wrt p?\nAnswer: 2199*n**2*p**2 - 182*n**2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2199 to the power of 1\/2, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.71 + 4.41. Which is the smallest value? (a) 4 (b) t (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-65*z**2 + 85*z**3 + 65*z**2)*(0 - 1 + 0 - 5 + 5 - 2 + (1 - 3 + 0)*(-2 + 0 + 1) + 0 + 0 - 2).\nAnswer: -255*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put together -348.8467422 and 0.226.\nAnswer: -348.6207422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence az when two letters picked without replacement from zdmfa?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 110 a factor of 243855192?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 12\/13 (b) -5\/4 (c) 2 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 24*k + 285. What is the remainder when v(-7) is divided by 31?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 70\/(-35)*9\/21*(-7)\/(-2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -360 to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 26*v**2 + 14. Let t(k) = 9*k**2 + 5. Let i be (2*(-1 - 0))\/((-96)\/240). Calculate i*j(h) - 14*t(h).\nAnswer: 4*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 3*o + 6. Let p(v) = -7*v - 11. Suppose -2*y + 4*h = -0*h + 22, 4*h - 20 = 0. Let n be 3\/5*(-5 - (y + 1)). Let j(c) = n*p(c) - 5*x(c). What is j(-2)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2275939024?\nAnswer: 2, 29, 1103, 4447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 22630182*z**4 + 29154553.\nAnswer: 90520728*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 469 at most as big as 470?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -4041, -8078, -12115, -16152, -20189?\n\"Answer: -4037*r - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 127025241 and 3202317.\nAnswer: 381075723","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((3\/9)\/((-1)\/27))\/1.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**3 + 10*a**2 + 30*a - 16. Let x be y(12). Suppose f - x = 2*b - 0*b, 3*f - 153 = b. Is 3 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1*7\/((-196)\/(-8)). Which is the biggest value? (a) -3\/4 (b) k (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10411444 to the nearest integer?\nAnswer: 3227","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 3\/50, -4416\/13 in increasing order.\nAnswer: -4416\/13, 3\/50, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 20586 - 15868. What are the prime factors of t?\nAnswer: 2, 7, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.91 + -0.09. Let p = 4 + r. Which is bigger: 2 or p?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 + -6.7. Let v be 11 - 14 - (-1908)\/(-11). Let b = -177 - v. Is b not equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l - 25 = -t, 0*l + 4*l + 3*l + 15 = 4*l + 3*t for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 650519 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 17*p**2 - p - 5. Let y(o) = 6*o**2 - 2. Calculate 8*y(v) - 3*z(v).\nAnswer: -3*v**2 + 3*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 245364300 a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -335 - 12134?\nAnswer: -12513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39322 is divided by 55.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**10\/((o*o**1)\/o))\/((o*o**(-2\/47))\/(o*o**(-1\/28))) assuming o is positive.\nAnswer: o**(11853\/1316)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 1 = 7. Let u = -3 + v. Let o be (-18)\/3 - u\/2. What is the second smallest value in o, 0, 0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000184379 to 6 dps.\nAnswer: 0.000184","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 634409645?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10568 is divided by 107?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes before 5:29 PM?\nAnswer: 2:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -266*x - 6. Let s(b) = 266*b + 7. Give 6*l(m) + 5*s(m).\nAnswer: -266*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 3*q - 3. Let a(n) = n**3 + 3*n**2 - 2*n - 4. Let p be a(-3). Is w(p) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -85\/8 and 161\/528.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 3580 = 3580?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = -2*d - 2. Let n be (6\/4)\/((-6)\/(-180)). Is (n\/(-18))\/(d\/466) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n**5\/7 + 690*n**4\/7 + 57184*n**3\/7 + 1184496*n**2\/7 + 4074016*n\/7 + 3856416\/7 = 0. Calculate n.\nAnswer: -34, -2, 417","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -6610, -7819, -9028, -10237?\n\"Answer: -1209*x - 5401","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-3\/5)*h**(-12)*h*(h*h**(5\/9))\/(h*h\/(h\/h**(-16))))**(-26) assuming h is positive.\nAnswer: h**(-5798\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (18 + -3 + 96 + -92) - -31?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**2 + n + 2. Let x be b(2). Suppose -j + 4*k + 12 = -6, k = -4. Suppose 3*g - 3*c = -9, 2*g = j*c - 5*c + 9. Solve -l + g*l + 2 = x for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 5*v + 4*z, 1 = -4*v - 4*z - 11. Let k(i) = i**2 + i + 1. Calculate k(v).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-30)\/12 + (-150)\/20. Let r = 0.4 + -3.4. Let f = r - -3.3. Which is the second biggest value? (a) i (b) 2 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) -3\/16 (b) 1\/8 (c) 5 (d) -4 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 110222 + 322233?\nAnswer: 1033121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**7\/l*l\/(l*l**3)*((l\/l**(1\/8)*l)\/l)**(-40\/9))**19 assuming l is positive.\nAnswer: l**(-152\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k = -b + 6*b - 35, 5*b = 3*k + 5 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - s = -6, -s - 1 = 2 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 153*q**3 - 37*q**3 + 276*q**3.\nAnswer: 392*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-1\/3)\/(f*f\/f**0*f))\/((f**(-3)\/f)\/(f\/f**(-2))))**(-42) assuming f is positive.\nAnswer: f**(-154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(-3)*(-4)\/6. Let s = -0.6 + 0.2. Let a = 0.2 + s. Which is smaller: t or a?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 7*g**3 + 2*g**2 - 4*g - 9. Let n(c) = -20*c**3 - 5*c**2 + 11*c + 26. Let p(k) = 6*n(k) + 17*q(k). Let f be 6\/2 + 0\/(-1). What is p(f)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (236946\/7 - -11 - 6)*7 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 3, -7.1, 0, 11, -3\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 263.1 + -12.1. Let o = b + -251.000741. What is o rounded to 3 decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the second derivative of -9*m**8\/8 - 2*m**6\/3 + 1449*m**4\/4 + 3823*m. Find the third derivative of z(w) wrt w.\nAnswer: -7560*w**3 - 480*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5 and 35?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3, 18, 43, 78, 123, 178, 243?\nAnswer: 318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 139006551?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 10, c: 9}. Give prob of picking 2 c.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of i**3*w**2 + 13*i**3 + 15*i**2*w**2 - 2*i*w wrt w.\nAnswer: 2*i**3 + 30*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.47092 hours in milliseconds?\nAnswer: 37695312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 374005 and 8750575?\nAnswer: 2855","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -128 + 563. What are the prime factors of y?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:12 AM and 3:37 PM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 512 and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 97183900067 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 - 486966238609.\nAnswer: -486966238608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -3*q + 202. What is the remainder when 1336 is divided by c(33)?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -5*k**2 - 3*k. Let x(n) = 42*n - 49 - 3 + 55 - 3. Calculate x(l(b)).\nAnswer: -210*b**2 - 126*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/8 and 47\/36996.\nAnswer: 73992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -35309\/710 - -499\/10. Calculate the common denominator of ((-27)\/((-891)\/55))\/((-5)\/(10\/(-3))) and l.\nAnswer: 639","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11.78 - 3774.91378\nAnswer: -3763.13378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - 5) + 5 - (-3 - -5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.07563 - -0.12437. What is the fourth smallest value in 0, -1, 131, m, -2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5197559246 to the nearest integer?\nAnswer: 72094","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 6 = -4*m. Let g(i) = 1 - 9 + i**3 - 6*i**2 - i + 3*i. Let y be g(6). Which is the nearest to -2\/7? (a) y (b) m (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 4*p + 39. Let z be f(-10). Let u be (9\/3)\/((-6)\/(-4)). Let o be u\/(-8) + 18\/48. Which is smaller: z or o?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 81912, 327627, 737170, 1310553, 2047788, 2948887?\n\"Answer: 2*n**3 + 81902*n**2 - 5*n + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1062 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 8138.603 milligrams?\nAnswer: 8.138603","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -58 - -64. What is the least common multiple of 16 and g?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002116641508 to six decimal places.\nAnswer: -0.002117","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1670867 by -151897.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 254881 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/15*(-130 - (19 + 19)\/(-2))?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*w**3\/2 - 417*w**2\/2 - 210*w = 0. Calculate w.\nAnswer: -1, 0, 140","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1646355 - 811355. What is m rounded to the nearest 100000?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3 - 0\/(-4)) + 10. Let a(k) = -k**3 + 16*k**2 - 6*k + 8. Is a(j) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 56*p = -61*p - 34, 3*p = -15. Which is the closest to z? (a) 0.2 (b) -3 (c) 5 (d) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*q + 4, 4*q = 2*t + 8*q for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h**5\/3 + 920*h**4\/3 - 26751*h**3 - 249062*h**2\/3 - 3692*h\/3 + 110696 = 0 for h.\nAnswer: -2, 1, 101, 822","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2 + 3*z**2 + (-5*z - 12*z + 4*z)*(z + 0*z - 2*z).\nAnswer: 16*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.565 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1369760 or -33?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 3 - ((6 - 2) + -5)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of (0 + 101)\/((-12)\/(-300))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -4 - (-1)\/2*0. Let a = 1017\/7 + -145. Which is greater: o or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 318 + -322. Sort -16, 3, 0.2, v.\nAnswer: -16, v, 0.2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 924 and 248160?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*-2\nAnswer: 0.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1029.7 - 1030. What is the closest to -1 in 4, -4, o, 1\/2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 105816262814 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1589965 rounded to three dps?\nAnswer: 0.159","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 123654101.\nAnswer: 659, 187639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5494573?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*x - 2*r = -6, -x = -4*r - 3272 + 3284 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((8\/(-136))\/((-99)\/(-18) + -5))\/(6\/(-17))\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 5921 = u + 3487, 5*a - 2*u = 9411. Suppose 0 = -6*l + a + 2937. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -482 + 685. Suppose -2*q + 5*m = -106 + 15, a = 4*q - 3*m. Find the common denominator of 25\/16 and q\/(-2)*(10 - 9).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 4*d = 3*a - 22, 0 = 3*a - 3*d + 3. Let t(m) = 4*m - 10*m**3 + 9*m**3 + m**a + 1 - 5*m**2. Calculate t(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100110 + -111011001101111100?\nAnswer: -111011001100010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1\/4, 1, 2, -78.1, 92?\nAnswer: -78.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -402\/11 + 403\/33. Find the common denominator of 1 + (0 - (-286)\/12) and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 152943 + 1?\nAnswer: 152944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 40\/104*2\/5. Let g = -4 + 1. Which is the closest to 1\/5? (a) g (b) 4 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 366\/26405 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 5*f = -16, 4*n - 23*f = -27*f + 16. Solve 4*s + 25 = m, -n*s - 5*m = -7*m + 20 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 - 9. Let v(m) = -m**3 - 7*m**2 - 2*m - 3. Let c be v(b). Let f = c + 40. What are the prime factors of f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 143344 is divided by 71.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2413.74, -24, 2\/7?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 5*h - 2371, t - 3*h = 5*t - 3154. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 less than -25359639?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-38 - -1) + (-6 - (-48 + 81)) + 25?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -426 - -432. Solve 0 = -p*b - b - 21 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**3 - 2*s**2 - 2*s + 1. Let o be u(3). Let p(r) = -2*r**3 + 15*r**2 + 5*r + 17. Let m be p(8). Is ((-998)\/o)\/(m\/14) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -2*b + 5. Let j be p(1). Suppose m = 2*c + j*c + 68, -5*m = -15. Let q(t) = -t**2 - 15*t - 15. Give q(c).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the first derivative of 4*f**3 - f**2\/2 - f + 1. Let g be y(-1). What is the common denominator of -59\/8 and (2\/(-9))\/(g\/(-693))?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00049993 to six decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1597125721 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3523 is divided by 76?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 1 + 2 - 3 - 4*k - 6. Let p(r) = -r - 2. Suppose -4*y + 0*y + 8 = 0. Let t(o) = 4*o + 1. Let n be t(-2). Calculate n*p(w) + y*f(w).\nAnswer: -w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**3 + 3*u**2 - 3. Let w be n(-3). Suppose -r + 10 = r. Suppose d + r - 1 = 0. What is the smallest value in w, d, -2\/9?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/297, 0.1, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in four fifteenths of a hour?\nAnswer: 960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**2 + 7*r + 12. Let a be v(8). What is the second biggest value in 3, a, 0.3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m + 10. Let l be z(9). Which is greater: -1\/44 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a meter in centimeters?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -53 - -26. Let a = q + 28. What is the units digit of -2*a\/4*-20?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -137.9 from 133914343.\nAnswer: 133914480.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) -1\/5 (c) -5280\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 147 (b) -0.08 (c) -3 (d) 3\/5 (e) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 + -21. What is the second smallest value in -4, -0.2, -1\/20, v?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5588042 and 10?\nAnswer: 27940210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 40\/(-15))*4*(-4149)\/2766.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**2 - 2*s + 3. Let j be r(1). Suppose p + 5*b + 22 = -j*p, 5*p = 2*b + 25. Let d = 54 - 54. Solve d = -t + p - 2 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (3 + 2 + -1)*((-1833)\/(-13) + 11) and 114?\nAnswer: 1824","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - ((-4 - -5) + 6).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**3 - 6*m**2 + 5. Let x be w(6). Suppose -5*v = x*c - 15 - 10, -v - 4*c = -5. Find the second derivative of 2*g**v + 7 - 7 - 2*g wrt g.\nAnswer: 40*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the third derivative of o**5\/30 - 2*o**2 + 14. Let x(i) = -3*i + 3*i + 2*i. Calculate p(x(t)).\nAnswer: 8*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 + 68 = -h. Suppose 0*b - 4*b = 220. Let r = b - h. What is the highest common divisor of r and 66?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1005 (base 10) to base 7.\nAnswer: 2634","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 4 (b) 4\/21 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(228)\/(-1*sqrt(12)))**2*3*-4 - ((sqrt(38)\/sqrt(2)*-6 + sqrt(19) - sqrt(19)) + -5 + 0 + sqrt(19)).\nAnswer: -223 + 5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*k - 36 + 18. Which is the closest to 1? (a) 0.33 (b) k (c) -2\/21 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**1*w)**(2\/67)*w\/w**(1\/8)*w*w**(-3)*(w*w*(w\/w**(2\/5))\/w*w)**41*((w**(-2\/7)*w)\/w)\/w**(1\/6) assuming w is positive.\nAnswer: w**(5914033\/56280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -12*x**5 + 459*x**4 - 5238*x**3 + 16329*x**2 - 14130*x + 2592 = 0. Calculate x.\nAnswer: 1\/4, 1, 3, 16, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence znzz when four letters picked without replacement from llllzznnllllnlzllzn?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 6*a**2 - 15*a - 26. Let f(j) = -5*j**2 + 14*j + 23. Let h(r) = -7*f(r) - 6*s(r). Suppose -3 = 2*u + 5*x + 34, -3*u - 2*x - 28 = 0. Give h(u).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the first derivative of 0*p - 1 - 2\/3*p**3 + 0*p**2. Let g(d) be the second derivative of -d**3\/3 - 3*d. Calculate f(g(k)).\nAnswer: -8*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 975.9918 years in decades?\nAnswer: 97.59918","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*r = 5*r + 120. Solve 56 = 12*w + r*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 64440 (base 9) to base 5.\nAnswer: 2331032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -502.5 (b) -13 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**2 + 18*c + 90. Let m be k(-8). Solve m + 0 = -5*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*a**4\/7 - 2174*a**3 + 16497340*a**2\/7 - 695856832*a + 1382304000 = 0. What is a?\nAnswer: 2, 616, 6375","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - 4 - 0. Let l be ((-232)\/(-40) - 3) + 1 + -3. What is the nearest to 1\/4 in l, x, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a litre in millilitres?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -75*p + 122*p - 206847. What is the remainder when p is divided by 31?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 30 and 735.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 - -110234162?\nAnswer: 110234166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 143104417 to the power of 1\/2, to the nearest integer?\nAnswer: 11963","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m - 11. Let f be q(14). Suppose 228 = 3*z + 2*c, -399 = -5*z + f*c - 0*c. Does 13 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 90 = -4*b, -4*b + k = -2*k + 65. Calculate the least common multiple of 38\/3 - (-12)\/(-18) and 2*((-19)\/(-4) + (-5)\/b).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n\/(n**(2\/39)*n)))\/n)\/n*(n\/(n**(-8)*n*n))\/n*(n**(-3))**29 assuming n is positive.\nAnswer: n**(-3196\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 28 = -3*r, 0*r + 2*r - 14 = q. Let x = 12 - r. Does 3 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.26 - 4.26. Let i = 4 + r. Let z = -0.0000142 - i. What is z rounded to 6 decimal places?\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the third derivative of 9*c**2 + 4*c**3 + 0*c - 1\/8*c**4 + 0. Does 12 divide z(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60532.\nAnswer: 2, 37, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**(-1))**(-26)*c**(-4)\/(c\/c**1*c))**(-1\/38) assuming c is positive.\nAnswer: c**(3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*4*1\/(-15)*(-84)\/1288.\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 206 (base 7) to base 8\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5.9 + 5. Let b = -0.894 - z. What is b rounded to 2 dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -64 - (-52052)\/693 - 14.\nAnswer: -26\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0, -52, 40 in descending order.\nAnswer: 40, 2, 0, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1078 - 415. What is the highest common factor of 102 and l?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24*a + 37988 - 37988)*(28 + 11 - 13)*((-3 - 1 + 5)*(4 + 0 - 2) + 0 + 3 - 2).\nAnswer: -1872*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3, 3, 38 in decreasing order.\nAnswer: 38, 3, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (8\/32)\/(1\/4). Suppose -2*j + f = -13. Solve 2*g + j = -3 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-33474)\/(-84))\/((-1)\/(-2)).\nAnswer: 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the second derivative of -l**5\/20 + l**4\/6 + 2*l**3\/3 + 3*l**2 + 56*l. Let q(i) = -i - 1. Calculate p(n) + 6*q(n).\nAnswer: -n**3 + 2*n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 620 - 5*h**2 - 620. Let p(t) = -8*t. What is n(p(r))?\nAnswer: -320*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11 + 23. Let f(n) = 2*n**3 - 2*n**2 + 1. Let b be f(1). Let w(p) = 49*p**2 - 1. Let h be w(b). Calculate the greatest common factor of u and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3396 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.5 + -0.1. Let c = b + 0.682. Let r = c + -0.08. Round r to 2 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from frojfrjbrbba. Give prob of sequence ob.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -17*u - 90. What is s(-5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 739979?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 2 e when three letters picked without replacement from ekeek?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1980 - 1980.23. Let c = 706289 + -706289.2300147. Let v = q - c. What is v rounded to 6 decimal places?\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 410181 is divided by 7189?\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 - -4. Let r = -2 - 0. Let u be 5 + -5 - r\/(-12). Which is the closest to t? (a) u (b) 1 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 551 divided by -29\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2462708 or -2462707?\nAnswer: -2462707","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2\/3 (b) 0 (c) 0.3 (d) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.920772 micrograms to nanograms.\nAnswer: 5920.772","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2742 and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 148361?\nAnswer: 148361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 e when two letters picked without replacement from wcccgcwec?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 52*x = 55. Let i(h) = 6*h**2 - 12*h. Let r(a) = a + 4. Let c(t) = -t - 3. Let q(b) = 4*c(b) + 3*r(b). Determine x*i(s) + 12*q(s).\nAnswer: -6*s**2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 212, 2, 3, 34 in ascending order.\nAnswer: 2, 3, 5, 34, 212","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 91, 325, 569, 847, 1183, 1601?\nAnswer: 2125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 minus -22232?\nAnswer: 22233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 134 + -139. Which is the nearest to -0.1? (a) 5 (b) 0.3 (c) 0 (d) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 19*l + 209. What is f(-11)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 38 + -54. Let d = m - -33. Suppose s + 0 + 2 = 0, 0 = 5*n + 3*s - 154. What is the remainder when n is divided by d?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -25 - -17. Let z be (l\/10)\/(1\/(-5)). Suppose -3*f + 44 = -h, -z*f = -2*h - 0*h - 62. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:59 AM and 6:31 AM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.00178? (a) -156 (b) 1 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*p - 20*p + 4*z + 66 = 0, 0 = 14*p - 8*p - 10*p - 2*z - 26 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -21\/4? (a) 0.5 (b) -0.5 (c) 4\/5 (d) 0.033 (e) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -9.3, 0, -0.4, -151, -1, 3 in increasing order.\nAnswer: -151, -9.3, -4, -1, -0.4, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 38642588 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of i*s**3*v + i*s**3 + 98*i*s**2*v - i - s**3*v - 607337*s**3 + s**2*v - 4*s**2 - 2*s*v - 218*v - 4 wrt s.\nAnswer: 6*i*v + 6*i - 6*v - 3644022","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 4, p: 6, b: 2, q: 4, j: 1, g: 2}. What is prob of sequence po?\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -7198*w. Let g(z) = -4972*z**2. Determine u(g(l)).\nAnswer: 35788456*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 150 = -10*y + 5*y - w - 0*w, -30*y + 23*y - 50*w - 210 = 0 for y.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 8b + -3?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9724 - 291683\/30. Calculate the common denominator of (-6)\/(-12)*232\/(-6) and q.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*t - 6*t + 0*t**2 + t**2.\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than -34581.0448?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9*r*v**2 - 150*r*v + 330905*r + 513938*v**3 wrt v?\nAnswer: -18*r + 3083628*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 17287 = -1902?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 180794 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28)\/210 - (-111)\/(-360)*2.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4941024097 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*s - 30*s + 144 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 14632\nAnswer: 14637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 469 = l, 29*l - 275 = -3*r + 28*l. Calculate the remainder when 269 is divided by r.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28255 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -321 - -324. Let g = -7 - -30. Suppose -46 = -w + 2*z, -f*w + 106 + g = -3*z. Is w a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(9)\/sqrt(3) + -5 + 1 + sqrt(12) + (3 + 2*sqrt(3))*-6))**2.\nAnswer: 396*sqrt(3) + 727","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 273409 is divided by 190?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - (-2 + 1) - (0 - 2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001884017 rounded to 5 dps?\nAnswer: 0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 5*l + 8*l = -164, 5*r - 172 = -l. Suppose 218 = 5*g - 112. What is the remainder when g is divided by r?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 9*v - 27. Let q(j) = 4*j - 14. Let u(o) = 3*i(o) - 7*q(o). Let t be u(15). Let k = 1 - 0.5. Which is the closest to 3\/5? (a) -1 (b) k (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 4*q - 4*b = -6156, 3*b + 1539 = q. What are the prime factors of q?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*f**4 + 16*f**4 - 8*f**4)*(0*f - 3*f + 5*f)*(0 - 2 + 1) + 0 + 0 - f**5.\nAnswer: f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -64\/3 and (-152)\/60*(-18)\/16.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7952\/(-2130)*(-275)\/(-88)\nAnswer: -35\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-36)\/48*128\/(-66) and (-1300)\/(-110)*(-1)\/(-6)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 12 and 105350\/8787 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 8*i**2 - 2*i + 1. Calculate j(3).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7182 is divided by 218?\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -4 + -14 + 32 + -28 + (-1 - -1)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -57 (base 10) to base 7\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from moeemmibmmehime. Give prob of picking 1 b, 1 o, and 1 h.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes after 8:26 AM?\nAnswer: 4:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rli. Give prob of sequence ril.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 5 (b) -13 (c) 50 (d) -0.4 (e) -251 (f) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**3 - 11*v**2 + 11*v - 8. Let k be n(10). Suppose 3*c - 29 = 2*t + 11, -k = -2*t. List the prime factors of c.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2*s - 1)*(-16*s + 18*s**2 + 7*s - 35*s**2).\nAnswer: 34*s**3 + 18*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1738 - 1240. Let p = i + -466. Is p a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 21849028 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**3 - 3*w**2 - 42*w + 15. Calculate c(8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 632 = -0*x - x, -5*n = -4*x - 1076. Is 13 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 121, 239, 355, 469, 581, 691, 799?\nAnswer: 905","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zq when two letters picked without replacement from zaqvq?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 758 = 2*w, 2*w - 1 = -3. Calculate the highest common factor of m and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1877507846?\nAnswer: 2, 17, 257, 214867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 - (2 - -3)) + 6 + 0 + -2.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/5*(-430)\/258*15\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 596513737?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 22940\/27 - 7630\/9. Find the common denominator of 163\/30 and k.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*w = 4464 - 11361. Calculate the greatest common divisor of w and 342.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -3*d**2 + 19*d + 14. Suppose z - 838 + 834 = 0. Let t(p) = 35*p**2 - 210*p - 155. Let w(k) = z*t(k) + 45*y(k). Factor w(m).\nAnswer: 5*(m + 1)*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -314*h + 9 = -2*c - 260 - 47, -2*c - 2 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12099 = -4*b - 30*c + 25*c, -3*c = -9. Is 26 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 315 - 313. Suppose 40 + 5*a**2 - 5*a**2 - 24*a + 5*a**p - 21*a = 0. Calculate a.\nAnswer: 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 c when two letters picked without replacement from {c: 2, j: 2}?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.1, 0, 413, -1100?\nAnswer: 413","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -4*w - 8419, 102*w - 14020 = -5*p + 107*w. Calculate the remainder when p is divided by 80.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (34\/(-4))\/((-11)\/(-132)). Find the common denominator of -1\/30 and o\/24 - -2 - 3.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/112 and 136\/(-204) + (-1346)\/384 + 3.\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -5*h - 4210, 1699 = -h - h - 3*z. Let y = h + 1579. List the prime factors of y.\nAnswer: 2, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 152612 is divided by 75950.\nAnswer: 712","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 1.9, 20145 in decreasing order.\nAnswer: 20145, 1.9, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes after 3:18 AM?\nAnswer: 4:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mljllhhlmz. Give prob of picking 1 l and 1 z.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87 = 5*t - 3*c, -5*c - 5 = -5*t + 80. Let o = 2 - 2. Suppose 5*u - 28 = -3*n, o = -2*n + u - 3*u + 16. What is the least common multiple of n and t?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 110 and 1265.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-116)\/8 - -11)*20\/(-28). Factor -3\/2*a - 9\/2*a**4 - 1\/2 - a**3 + n*a**5 + 5*a**2.\nAnswer: (a - 1)**3*(a + 1)*(5*a + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5.01 + -0.01. Let x = 10.2 - 10. Let d = -0.6 - -0.9. Which is the smallest value? (a) g (b) x (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*m**3 - 31*m**3 + 14*m**3 + 29*m**3.\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**3 + 26*j**2 - 2*j - 680. Calculate q(-25).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/2*(-7)\/770*11.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1759816?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:58 PM and 10:32 PM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00003047663 to six decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, -5, -65, -12, 2, -10 in increasing order.\nAnswer: -65, -12, -10, -5, -1\/4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 2*c**5\/7 - 416*c**4\/7 + 22476*c**3\/7 - 243296*c**2\/7 + 221234*c\/7 = 0.\nAnswer: 0, 1, 13, 67, 127","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4232237290.\nAnswer: 2, 5, 423223729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 526, -0.1, 2\/4445 in decreasing order.\nAnswer: 526, 2\/4445, -0.1, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 269730746?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b + 41 = 2*i, 57 = 9*i - 25*b + 28*b for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-60)\/(-910))\/2*(-21)\/6*4?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1396 - -1400. Sort -1, i, 2, 1313 in increasing order.\nAnswer: -1, 2, i, 1313","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -8\/11, 4, 3 in ascending order.\nAnswer: -8\/11, 1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1583 is divided by 127?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 303687 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-11)\/12 - (-2)\/3. Let j be (-16)\/12 + (-80)\/(-90)*33\/28. Sort 27, j, u in descending order.\nAnswer: 27, u, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5010)\/1169)\/(1*(-4)\/(-7)).\nAnswer: -15\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 453, 446, 427, 390, 329?\n\"Answer: -j**3 + 454","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -105846.39 rounded to the nearest 1000?\nAnswer: -106000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35 - (15 + (19 - 22)).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3778*i + 3776*i + 4*u - 6, 2*i + 13 = -3*u for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -d**2*p**2 + 21*d**2 - 39*d - 9*p**2 - 1 with respect to p.\nAnswer: -2*d**2*p - 18*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*y - 28*y**3 + 2*y - y + 3*y**3.\nAnswer: -25*y**3 - 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 245\/(2 - -5) + -18 + (-8 - -46)\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:32 AM and 5:50 PM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a millennium in years?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 21 - 8?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -4*h**2 - 162*h - 259. Determine a(-6).\nAnswer: 569","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0\/(-1) - (-1 - -2). Let l = d + 0. What is the units digit of l*(3 + -1 + -9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -213069*j**2 + 213069*j**2 + j**3.\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express t**3 + 2*t**3 + 5*t**3 - 9*t**2 + t**3 - 13*t**3 in the form r*t + i + v*t**3 + p*t**2 and give p.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Do -49402 and -49222 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b - 119 + 118. Suppose l + 2*y = -3*y - 44, 4*y = -8. What is the units digit of b\/(2\/l - 0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -180 = -24*r - 12*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13 + -10. Let c(j) = 0*j - 3*j - 2*j**2 - 3 + j**2 - 2*j**t. Determine c(-2).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 27 (b) -1\/104 (c) 21 (d) 4 (e) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in t + t + 26835 - 8133 + 0*t.\nAnswer: 2*t + 18702","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r - 45 + 5. Let h be (-2)\/10 + (-4)\/r. Is 1*(17 - h) + -2 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -10283881*u. Let k(w) = 10*w. Calculate h(k(y)).\nAnswer: -102838810*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 157\/12222 and 7\/1602?\nAnswer: 1087758","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9306.\nAnswer: 2, 3, 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 2*k. Sort k, 7, 5 in ascending order.\nAnswer: k, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3681 divided by 9?\nAnswer: 409","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -23 - -31. Suppose 0 = -t*m + 12*m + 808. Let r = 340 + m. What is the remainder when r is divided by 47?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12264064?\nAnswer: 2, 95813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-15))\/(2\/(-40))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1)*(o*o\/(o*o**(-2)))\/o*o)\/(o**(2\/5))**12 assuming o is positive.\nAnswer: o**(-14\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-5)\/(-2) + (-228)\/152. Sort g, -2, -13 in increasing order.\nAnswer: -13, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2793233, 2793236, 2793239, 2793242, 2793245, 2793248?\n\"Answer: 3*c + 2793230","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 81 = -m - 0*m, 417 = 5*m - 4*w. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 57 - 34. Let h = 61 - l. Calculate the remainder when h is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 64\/11 + 52\/286. Factor -16*k**3 + 10*k**4 - 19*k**3 + 7 - 25*k - v*k**2 + 51*k**2 - 2.\nAnswer: 5*(k - 1)**3*(2*k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b = -2*b - 3*a - 5, -a + 5 = -3*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.3, -4, -1, -5, 5, -114?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/5 (b) 1\/6 (c) 55389\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**3 - 4395*y**2 + 6438675*y - 3144219625.\nAnswer: (y - 1465)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -31933, -63893, -95869, -127861?\n\"Answer: -8*x**2 - 31936*x + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - 2)*(6*s + 204 - 405 + 202).\nAnswer: -12*s - 2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18 - 4*x**2 - 12 + 30.\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j*j*(j**(-2\/7)*j*j)\/j)\/j)\/j)\/j)**(-1\/3)\/(j**0*j**9*j)*((j\/(j*j*j**4*j))\/j**(-8))**(3\/8) assuming j is positive.\nAnswer: j**(-769\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the second derivative of 2*d**3 + 128*d**2 + 15*d + 3. Let p be v(-21). Solve 2*k - p = -14 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (-9 - (-12 + 7))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 323*g = 266*g + 829*g + 1071*g - 93993 for g.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 5, h: 1, y: 5, n: 1, z: 2, c: 2}. What is prob of sequence zay?\nAnswer: 5\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmf when three letters picked without replacement from {j: 3, m: 3, f: 4, e: 1}.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1585\/57 bigger than 27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 - -1000000?\nAnswer: 1000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -302.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1994.\nAnswer: 2, 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.14676 - 3.\nAnswer: -2.85324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2612 and 352?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 34135 (base 6) to base 13\nAnswer: 2261","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -7*x. Suppose 3*k - 5*k = x. Let o be 209\/95 + (-2)\/10. Solve -6*b = -o*b + 8, -i + 5*b + 11 = k for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (10 + 184)*(-6)\/(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 19 + -17. Calculate the remainder when 9 is divided by k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:53 AM and 12:29 PM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -141 (base 6) to base 10\nAnswer: -61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 65.45 + -65.75. Let p be 4\/5*1\/2. Which is the nearest to p? (a) 2\/3 (b) x (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12, -20, -18, 0, 40?\nAnswer: 108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bsm when three letters picked without replacement from {s: 2, b: 1, m: 7}.\nAnswer: 7\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -x - 3. Factor 4*d - x*d - 2*d - d**2.\nAnswer: -d*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the first derivative of 3*m**2\/2 + 34*m - 293. Determine v(-10).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -35 or 24.17?\nAnswer: -35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 191 * -73891.\nAnswer: -14113181","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 610 = 10*k. Let q = k + -70. What is the units digit of 2\/((-6)\/9*(-12)\/q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3 - ((-1128)\/51)\/(-8). Sort u, -1\/5, -0.5, 2\/7 in decreasing order.\nAnswer: 2\/7, u, -1\/5, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*s - 10*s - 2*s.\nAnswer: -19*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate k*m**3 + k*m**2 + 1097184*k - 139696*m**3 wrt m.\nAnswer: 3*k*m**2 + 2*k*m - 419088*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 569 - 569 + 2*j**4 + 2*j + (-j + 2*j - 2*j)*(2*j**3 - 5*j**3 + j**3) to p*j**3 + u*j**4 + s*j**2 + b + m*j and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.1069 less than 3446876.299?\nAnswer: 3446874.1921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*y**2 - 119624*y + 59169*y + 60455*y + 26*y**2.\nAnswer: 21*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1.065 or -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2121011011 - 211?\nAnswer: -2121011222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**3 + 67*n**2 - 1232*n - 73. What is z(-82)?\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 2*v = 6, 0 = v - 6*v + 15. Suppose h = 26*t - 21*t - 10. What is the third derivative of 2*x**6 + 0*x**6 - 9*x**t + 2*x**6 wrt x?\nAnswer: 480*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**2 + 9*y - 12. Let l be x(8). Let i = -2 - l. Let g(m) = -3251*m**2 + 3*m - 2. Let z be g(i). What is z rounded to the nearest 1000?\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*b**3 - 85040*b**2 + 34727680*b - 3589181440.\nAnswer: 5*(b - 16592)*(b - 208)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/77 or 1.1?\nAnswer: 2\/77","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Total of -326 and 23.\nAnswer: -303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 0.7 (b) -4 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 2 c when three letters picked without replacement from uusccsosscco.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-756)\/45)\/14)\/((-6)\/2).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/(q\/(q*q*(q**(3\/8)*q*q)\/q)))\/q)\/q**(-2\/23))**(1\/17)\/((q**(-1\/3))**(3\/25))**(20\/13) assuming q is positive.\nAnswer: q**(41957\/203320)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 + 2. Suppose 3*f + 2*x - 107 = x, f - 2*x - 31 = l. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39743 is divided by 75.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -18, -444, 62 in descending order.\nAnswer: 62, -10, -18, -444","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -43173*f**2 - 48013 wrt f.\nAnswer: -86346*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17\/(-34) - 1994\/(-4).\nAnswer: 2, 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 31\/5 - 6. Let k(l) be the first derivative of t*l**5 + l + 1 - 2\/3*l**3 + 0*l**2 + 0*l**4. Factor k(u).\nAnswer: (u - 1)**2*(u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45187733 to the power of 1\/2, to the nearest integer?\nAnswer: 6722","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 856872 and 30?\nAnswer: 4284360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*m = -32*m + 4*h - 52, -212*m - 3*h = 3389 for m.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 36 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5287869 to the nearest integer?\nAnswer: 2300","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*r - 7*r - 12. Let f(w) = 9 - 1 - 10*w**3 + 6*w**2 + 21*w**3 - 12*w**3. Give f(r).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72466039.\nAnswer: 72466039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: (-24)\/(-10)*205\/246*1\/(20\/(-70))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*p**2 - 2*p**2 - p - 2*p in the form o*p + x*p**2 + t and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 305040 (base 6) in base 14?\nAnswer: 8c92","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (24\/9 - 2)*6. Let l be (-2)\/7 + 18\/14. Put s, -2, l in decreasing order.\nAnswer: s, l, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10673248, 10673215, 10673132, 10672975, 10672720, 10672343, 10671820, 10671127?\nAnswer: 10670240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -2*b - b**2 + b + b**2 + b**2. Determine s(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 - 58 = 5*k - 2*x, -30*k = 19*k - 54*k - 3*x - 77 for k.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 7*l**2 - 8*l**2 + 4)*(-17*l - 14*l + 19*l)*(-14*l**2 - 21*l**2 + 6*l**2).\nAnswer: -348*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36) + sqrt(144)*1 - sqrt(36))\/(sqrt(432)\/sqrt(4) + sqrt(12)).\nAnswer: sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 786979805 to the nearest integer?\nAnswer: 923","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -22 + (46 - 46) + 5 + -6 - 10.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -100110101000110111101 (base 2) in base 11?\nAnswer: -795279","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -13344 (base 5) in base 2?\nAnswer: -10001001011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**3 - 3*b**2 - 5*b + 4. Let w be o(4). Let c(j) = 97*j - 328. Let a be c(6). Suppose -284 = -5*p - a. Solve -m - m - p = w for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 358, 1\/12, -5.21 in increasing order.\nAnswer: -5.21, 1\/12, 358","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-52)\/(-208))\/((-3)\/324*-1)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wznneeeeeoeeeenxxee. Give prob of picking 1 x and 1 n.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/(s*((s*s**(-7\/3)\/s)\/s)\/s*s*s)*(((s**(6\/13)\/s)\/s)\/s)\/s assuming s is positive.\nAnswer: s**(-47\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes after 4:46 AM?\nAnswer: 5:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-4)*(-276)\/(-1). Let a be (-20)\/66*9\/o. Let j = 6871\/2024 - a. Calculate the common denominator of j and -23\/14.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14 by 79.\nAnswer: -14\/79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -159\/136, 25, 5\/2 in decreasing order.\nAnswer: 25, 5\/2, -159\/136","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.01 and -115.\nAnswer: 1.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the third derivative of 41*p**8\/28 - 151*p**5\/12 - 666*p**2. What is the third derivative of u(z) wrt z?\nAnswer: 29520*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -26*j**3 + j**2 + 5*j - 3. Let o be i(2). Let p = 2165\/11 + o. Let c = -3 - -2. Which is smaller: c or p?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and -164.86.\nAnswer: -82.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c + 2*b + 6, 11 = -3*c - b + 19. Is 16 a factor of (-8 - -322) + c + 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 15 = u - 2*a, -7 = -3*u - 4*a. Suppose 0 = 5*w + 2*d - 18, 0 = -u*d - 5. Solve 5*i = -4*z + 24, 4*z - w*i + 13 = z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -58044 - -110445. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25, -189, -687, -1687, -3357?\nAnswer: -5865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -6*y - 2*y**2 - 4*y + 34*y = 0?\nAnswer: 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 303 = -3*l. Let t = l - 48. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/5 (b) -42 (c) 37\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 724 (base 13) to base 3.\nAnswer: 1122221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**2 + 4*i + 11. Let c(t) = t**3 - 9*t**2 + 7*t + 14. Let k be c(8). Let b be u(k). Let x(q) = -249*q + 2. Is x(b) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 244*k - 9426 = 247*k, -8 = -2*k. Calculate the highest common divisor of p and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52000510.\nAnswer: 2, 5, 5200051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 110 = 2*g, -5*y - 145 = -g + 5*g. Let q = 15 + y. Let v be q\/6 + 2\/1. Which is the closest to -0.1? (a) 1\/4 (b) 3 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49633 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 + 152 + 3\/1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2662087 is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 67.1836 centuries in millennia?\nAnswer: 6.71836","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 77571.4 millilitres?\nAnswer: 77.5714","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 508 is divided by 18.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1159602, -2319188, -3478774?\n\"Answer: -1159586*s - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q**5\/2 + 152*q**4 + 2085*q**3\/2 + 891*q**2 = 0. Calculate q.\nAnswer: -297, -6, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 15*t**2 - 16*t**2 + 7*t**2)*(-18 - 46 + 16) as i*t + a + z*t**2 and give z.\nAnswer: -288","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*q**5 + 75*q**4 + 11755*q**3 + 104925*q**2 - 11750*q - 105000 = 0. Calculate q.\nAnswer: -35, -10, -1, 1, 60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -123162, -123197, -123250, -123321, -123410, -123517?\n\"Answer: -9*t**2 - 8*t - 123145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 2*o - 2*o = 68828, 0 = 3*i - o + 51625. Suppose 0 = -11*m - 210 - 681 - 957. List the prime factors of (-8)\/(-14) + i\/m.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 9771.\nAnswer: -2\/9771","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 4*x**5 + 16*x**4 - 128*x**3 + 64*x**2 + 448*x - 512 = 0.\nAnswer: -8, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 32 - 32.1. Let v = -2 - -1. Which is the nearest to z? (a) v (b) 0.4 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.2 and -61618731.8882.\nAnswer: -61618731.6882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 203684 (base 10) to base 11\nAnswer: 12a038","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 18341 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 44289 and 84.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 0*k + 11*k**2 - 3*k**2 + 2 - 2*k. Let s be l(2). Let j be s\/(-12)*(-4)\/5. Let n(f) = 2*f + 1. Determine n(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/66*(-11 + -1). Which is smaller: -2 or s?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g + 2*v - 27, 5*g + 2*v = v - 91. Let j be (-344)\/g + -4 - (-2)\/(-19). Solve -4 = -6*u + j for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 261811 > -2.9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 + -1538.4752355.\nAnswer: -1538.8752355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 358412891?\nAnswer: 1279, 280229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -656, -652, -660, -686, -736, -816, -932, -1090?\nAnswer: -1296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((-4*sqrt(26)\/sqrt(2) - -1*-2*sqrt(13))*-3 - (sqrt(1573)*3 + (sqrt(208) - (-1 + sqrt(208))))).\nAnswer: 6 + 90*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((-10)\/25)*2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + 76 = 3*v + 68, -2*v + 14 = -3*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 + 300115021?\nAnswer: 300115014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 421*g - 31515 + 9552 + 8419 - 35713 for g.\nAnswer: 117","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 86*a + 7936. What is the remainder when 1921 is divided by v(-92)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.004988 micrograms to grams.\nAnswer: 0.000009004988","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 252057154 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -22 in -16, 1\/3, -3\/7?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**6*j\/(j*j**(1\/5)))\/(((j**(-3)*j)\/j)\/j**(-4\/7)) assuming j is positive.\nAnswer: j**(288\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*o**4 - o**4 + 2*o**4)*(-2 - 1 + 5)*(-19 - 46 - 100) as x + z*o**4 + h*o + t*o**3 + s*o**2 and give z.\nAnswer: 1320","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4621*s**3 + 9374*s**3 - 4754*s**3.\nAnswer: -s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -26976957 minus 1?\nAnswer: -26976958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*f - 8*f - 6*f + (f + f + 0*f)*(2 + 4 - 5) + 6*f - f - 3*f - f + 3*f + 3*f + (2 + 0 + 0)*(4*f + 0*f - 5*f).\nAnswer: -9*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 193921617?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 12 = -2*y, -3*y = -8*y. Let r be (195\/10 - 6)*4\/m. Is 9 greater than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 976.2226ml in litres?\nAnswer: 0.9762226","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 - -11. Suppose -2*o + 4*j = -o - c, -4*j = 3*o + 19. Let u = 3 + o. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7695958, -8, 1\/8.\nAnswer: -8, 1\/8, 7695958","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -590772 or -590770?\nAnswer: -590770","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(125) - (2*sqrt(125) + sqrt(125)) - sqrt(125) - sqrt(125))*4)\/(sqrt(20)\/(1*sqrt(4))))\/(1*-1*sqrt(10)\/sqrt(2)*-3).\nAnswer: -16*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 14993, 14982, 14957, 14912, 14841, 14738, 14597, 14412?\n\"Answer: -n**3 - n**2 - n + 14996","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11631 is divided by 1938?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**2 + 9*z - 1. Let p(a) be the second derivative of -a**5\/20 - 11*a**4\/6 - 19*a**3\/6 + 17*a**2 - a - 61. Let s be p(-21). Determine b(s).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/11 < -1\/35?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 35433542 and 4?\nAnswer: 70867084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3507626 (base 8) in base 5?\nAnswer: 221014022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 810315519 is divided by 140.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes after 9:41 PM?\nAnswer: 2:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 - (2\/(-2) - -1). Suppose 423 = -32*z + 34*z - n, -3*n = -3*z + 633. What is the first derivative of 35 + z*f**2 - 212*f**y - 23*f**3 wrt f?\nAnswer: -69*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2234613219?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 64764191 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 2*y = 2, -10 = -4*y + 2*y for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5000566316 - -1?\nAnswer: 5000566320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 103 divide 18540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -2 - 1, -5*d - 9 = 3*w. Let r = w - -11. Suppose -t + r - 2 = 0. Let g(f) = 3*f. What is g(t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 28094642 or 28094643?\nAnswer: 28094643","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - (1 + -5 - 0)) + 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2239852.\nAnswer: 2, 17, 32939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1637142 is divided by 5439?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 415062*m - 415114*m - 64 = -2*x, -3*x + 1 = -m - 18 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 9, d: 5, f: 2}. Give prob of picking 1 f and 1 z.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*m = 2*m - 0*m + 80 for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 25524.38233 rounded to the nearest 100?\nAnswer: 25500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 28068 to the nearest integer?\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 102 and 2718?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -35322*j**2 + 231*j - 231. Let q(s) = 609*s**2 - 4*s + 4. Let y(o) = 231*q(o) + 4*x(o). Let u(v) = -v + 14049 - 14049. Give u(y(r)).\nAnswer: 609*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 85326.\nAnswer: 2, 3, 14221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (-10 - -13 - (5 - 1)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6878734?\nAnswer: 2, 41, 149, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(11) + 0)*6 + sqrt(110)\/sqrt(10) + -5)**2.\nAnswer: -70*sqrt(11) + 564","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -111 = 6*n - 489. What is the remainder when n is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*g**2 - 8*g**2 - 6*g**2 + 26*g**2.\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 6*i**3 - 2*i**2 + 5*i - 7. Let f(m) = -m**3 + m**2 - m - 1. Determine 5*f(d) + v(d).\nAnswer: d**3 + 3*d**2 - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1356\/(-75) + 4 - ((-476)\/34 - 0)?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2048400 rounded to the nearest 100000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 10 = -4*h, -2*l + l + 2*h - 6 = 0. Let s(v) = -v**3 - v**2 + v + 1. Let t be s(l). What is the third derivative of -2*m**t + m + 3*m**2 - m wrt m?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 40*w - 5. Let k be l(6). Suppose 78*b + 5*b - 570 = -31*b. What is the greatest common factor of k and b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 28336, 56637, 84936, 113233?\nAnswer: 141528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((sqrt(448) - (-1 + sqrt(448))) + -5 + 5)**2 + 5)*-5.\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the second derivative of -11*z**3\/2 - 185*z. Let g(f) = -f. Let q(s) = 4*s. Let r(l) = 10*g(l) + 2*q(l). Determine r(n(c)).\nAnswer: 66*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -2*y + 3*h - 7, -5*y + 5*h + 30 = 0. Let s(g) = g - 2*g - y + 2 + 2. Let a(z) = -3*z - 2. Let u = 10 + -7. Calculate u*a(t) - 8*s(t).\nAnswer: -t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*m + 2*m + 2*m + (1 - 4 + 1)*(3*m - 2*m - 2*m) + 2*m - 1 + 1 + (-2 + 1 + 2)*(1 + m - 1) - 4*m + 4*m + 7*m to c*m + y and give c.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6652.4 - -746.\nAnswer: 7398.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*t + t, 0 = -4*q - 5*t + 42. Find the second derivative of 10*j**3 + 23*j - 4*j**3 + q*j**3 - 4*j**3 wrt j.\nAnswer: 60*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 94 = 3*i, 4*c + i - 4*i + 188 = 0. Let v = c + 53. List the prime factors of v*(11 + -9 + (-2)\/(-3)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1660693 + 2846914. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 9*u - 5. Suppose -70 = -4*s + 50. Let x = s - 25. What is the tens digit of w(x)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -412*v + 412*v - v**2.\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 131375?\nAnswer: 5, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -44648670 or -44648664?\nAnswer: -44648670","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**2 - 6. Let o be 3*4\/6 - -2. Suppose o*h = 2*h. Determine s(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -45*p**4 - 17*p**4 - 68*p**2 + 4*p**4 wrt p?\nAnswer: -1392*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 469010592?\nAnswer: 2, 3, 19, 85711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 8*c + 1. Let k be w(1). Let v(p) = p**2 - 17. Let l be v(-5). Suppose -l*o = -k*o + 29. Is 8 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f = 1034 - 1034. Factor 2\/13*s**3 + 4\/13*s**2 + f + 2\/13*s.\nAnswer: 2*s*(s + 1)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 439*q*x + 8*q + 1278*x wrt q.\nAnswer: 439*x + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = 3*n - 20, h + 10 = -2*h + 4*n. Suppose -4*y + h*c = 14, y - 4*c = 4*y + 16. Is 18 a factor of 8*(-2 - -4) + (y - -6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4061 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-140)\/15)\/((-2)\/183). Suppose -7*h + a = -609. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43041.\nAnswer: 3, 14347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -27 + (19 - 3) - 7\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -3605*r - 169404. Determine b(-47).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 35 = 5*j. Suppose -2*g = -g + 2*h, j*h = 0. Solve g = -0*i - 2*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*(w\/(w**(2\/39)*w))\/w)\/w)\/(w\/w**13))\/((w\/(w*w**(-2\/17)*w))\/w)**(-5\/6) assuming w is positive.\nAnswer: w**(2073\/221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*a + 103*a + 16*a**3 - 35*a - 34*a.\nAnswer: 16*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**2 + 5*p + 6. Let q be l(6). Suppose q = b - 3*b + 54. What is the lowest common multiple of 36*(-4 + (-1 - 34\/(-6))) and b?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 24239405.\nAnswer: 145436430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * 0.0853\nAnswer: -0.00853","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -88 by -8558.\nAnswer: 4\/389","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -2048*b**2 + 6*b + 5. Let l be d(-2). Let z = -4876 - l. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -137\/49 - 4461\/490. Let j = -4782\/7 + 677. Find the common denominator of x and j.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 8752, 28, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.87 rounded to one decimal place?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2961931 is divided by 2763.\nAnswer: 2758","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0026006 rounded to 4 dps?\nAnswer: 0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -27, -87 in ascending order.\nAnswer: -87, -27, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -193*i = -186*i - 14. Solve i*p - 7*p - 5 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, m: 2, l: 1, o: 2, i: 1, f: 1}. What is prob of sequence gi?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -4*w - 24. What are the prime factors of c(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*h - 440 = -35*h + 61*h for h.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 30 = -k, 2*s = k - 2*s - 51. Suppose -k*w = -33*w - 24. Let u(p) = -p - 1. Let f be u(3). Which is the nearest to -6? (a) w (b) 5 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -31972*f**4 - 323*f**2 - 10 wrt f.\nAnswer: -767328*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, s: 2, d: 5}. Give prob of picking 1 s and 3 d.\nAnswer: 10\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3\/158 + 1226\/79. Find the common denominator of f and 37\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccc when three letters picked without replacement from ccccccccc?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17\/40 + 209\/20. Find the common denominator of 4\/2165 and k.\nAnswer: 17320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 323*w + 2*w - 327*w.\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i - 21 = -3*u + i, 5*i = 4*u - 63. Solve -5*z + u = z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 38*v - 402. What is the remainder when i(19) is divided by 108?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(2\/15)\/(r\/((r*r\/r**(-27)*r)\/r)*r)*r**12\/(r\/r**21) assuming r is positive.\nAnswer: r**(887\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 13 and 29.\nAnswer: 377","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1570, 1611, 1732, 1975, 2382?\nAnswer: 2995","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(2)*-1*-4.\nAnswer: 8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 421517 is divided by 27?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sil when three letters picked without replacement from {i: 1, s: 2, f: 1, l: 4}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*g + 12*g + 14*g.\nAnswer: -5*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g - 7*g = 4*z - 24, -3*z + 2*g + 18 = 0. Suppose -374 = -z*p - 278. Solve p*i = 13*i - 6 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1.3 or -1\/9?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4023301 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 222, -9, 0.1, 16, -0.02 in decreasing order.\nAnswer: 222, 16, 0.1, -0.02, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 7835091 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0 and -48.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10304 = -3*f - 24*f - 157*f. Solve 6*y + 50 - f = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 334.65 - 335.25. Which is the second smallest value? (a) g (b) -2\/7 (c) -0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 106*v + 241 = 107*v. Let r = 360 - v. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**3 - 4*d**2 - 2*d - 6. What are the prime factors of j(6)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -243*t + 3743 = 1313 for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q + 1. Let d(s) = 3*s + 1. Let v(p) = d(p) - 2*w(p). Let i(b) = -11*b + 2. What is 6*i(j) + 13*v(j)?\nAnswer: -j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20917, -20937, -20957, -20977?\nAnswer: -20997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001953937637 rounded to 7 decimal places?\nAnswer: 0.0019539","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -3, 3, 7\/41, 0 in decreasing order.\nAnswer: 3, 7\/41, 0, -0.5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 2 i when three letters picked without replacement from {i: 5, f: 4, m: 7}?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*a**2 - 72*a + 4*a**2 + 34*a**2 + 25*a**2 wrt a.\nAnswer: 142","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -47*m**3 - 4*m**2 - 5*m + 15118.\nAnswer: -141*m**2 - 8*m - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + -7 + -9 + -9 + 13.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 594.9281 micrometers?\nAnswer: 594928.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/16*(-12)\/(-3537)*-6. Which is greater: 1 or r?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ya when two letters picked without replacement from aya?\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) -17 (c) -0.243 (d) -5\/2 (e) -8\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5478 + -5478. Let p be (3\/(-10))\/(24\/(-50)). Let h = p - -1\/24. Sort h, 3, u in descending order.\nAnswer: 3, h, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 2 = 3*f + 182, 0 = -v + f - 36. Let b = v + 59. Solve -2*t - 5*w = b, -t + 5 = -4*w + w for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -21 + 26. Solve -m = -0 + g for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-155)\/310*(-56)\/38*(-2)\/(-7)?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.2 - -0.2. Let y = -0.5 - a. Let w = 65.88 + -61.88. Sort w, -0.17, y in ascending order.\nAnswer: -0.17, y, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(-5))\/(l*l*l**(-18)*l) assuming l is positive.\nAnswer: l**21","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, 3, -1, 677, 4 in increasing order.\nAnswer: -19, -1, 3, 4, 677","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 3*c**2 + 5*c + 5. Let z(f) = 2*f**2 + 4*f + 4. Let y(l) = -4*w(l) + 5*z(l). Let i(q) = -73*q + 36*q + 36*q. Determine y(i(u)).\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 3 + 6 = 3*z, 4*h - 4*z = -4. Let a be (0 + h - 1)\/(-1). Which is greater: 1\/2 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**2 + 10*q + 9. Let o be y(5). What is the units digit of 4\/o - 1798\/(-34)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -12*b - 70. Let w be p(-6). Let y(q) = -50*q**2 - 8*q**2 + 3*q**2 - q**w. Let k(c) = -c. Give y(k(z)).\nAnswer: -56*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1, -1127, -4, -0.18?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the first derivative of 17*m**8\/336 - 5*m**4\/6 + 3*m**2 - 1. Let j(q) be the second derivative of c(q). What is the second derivative of j(y) wrt y?\nAnswer: 340*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the third derivative of n**8\/112 - 26*n**7\/35 + 5*n**6\/2 - 28*n**2 + 13*n + 2. Let i(p) = 0. What is p?\nAnswer: 0, 2, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 + 1)*(4*y**3 - 4*y**3 - 4*y**3) - y**3 - 2*y**3 + y**3 - 3*y**2 - 2*y**3 + 3*y**2 + (3*y - 4*y + 0*y)*(-5 - y**2 + 5) + 36*y - 36*y + 11*y**3.\nAnswer: -4*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -117775, -235771, -353767, -471763?\nAnswer: -589759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.718 - -4.\nAnswer: 3.282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3867697 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 8, -1, 82, -0.2, -2\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the third derivative of -z**7\/42 + z**6\/6 - z**5\/4 - 5*z**4\/6 + 10*z**3\/3 - 17*z**2. Find v, given that b(v) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 3*f**3 + 4*f**2. Let z(y) = -4*y**3 - 3*y**2. Calculate -3*n(s) - 2*z(s).\nAnswer: -s**3 - 6*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 40 and 11.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 27\/202810556 and 87\/20.\nAnswer: 1014052780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -190.\nAnswer: -1\/95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 169782454 and 1132.\nAnswer: 566","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 4*m + 7. Let j(b) = -7*b - 13. Let i(t) = -3*j(t) - 5*v(t). Let f be ((-54)\/8)\/(-3)*-4. Let y be i(f). Let c(s) = -s**2 - 4*s. Calculate c(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2826292, 2826287, 2826282, 2826277, 2826272?\nAnswer: 2826267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 5 = 0, k - 2*k - 4*t + 188 = 0. Let c = -163 + k. Solve 0 = -c*m - 24 + 4 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**3 + 6*l**2 + 2*l - 7. Suppose 5*u + 75 = -0*u. Let j be ((-7)\/5 - -1)*u. Let q be f(j). Solve -q*s - 5 = -15 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbbbbbbbb. Give prob of sequence bbb.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3995 - 3994. Suppose 4*a + 234 = 22. Sort f, a, 3.\nAnswer: a, f, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 122 + -47 + -33 + -48 + -2 + 0.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -164644, -164640, -164636, -164632, -164628?\n\"Answer: 4*u - 164648","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 6*y - 3*y + 0)*(-4*y + 4*y + y)*(20 + 25 - 46 - 40*y**2) to the form p*y**2 + q*y + m*y**4 + a*y**3 + g and give p.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k - 4*k + 3*k)*(3*k + 1 - 1) + (-2*k + 4*k - 3*k + 3 - 3 + k + (1 + 2 - 1)*(2*k + 5*k - 5*k) + 4*k + 0*k - 3*k + 0 + 0 - 2*k)*(-12*k + 10*k - 16*k).\nAnswer: -60*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -11143657 rounded to the nearest one hundred thousand?\nAnswer: -11100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 124*j**3*o**3 + 12*j**3*o**2*w - 2*j**3*o**2 + j**3*v*w - j**2*o*v - j*o**3*w - j*o wrt w.\nAnswer: 12*j**3*o**2 + j**3*v - j*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -4*w - 3. What is m(2)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -257 (base 13) to base 11.\nAnswer: -343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, -36, 5 in decreasing order.\nAnswer: 5, -1, -4, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**3 - 6*k**2 - 1. Let l(n) = -n**2 + 3*n + 16. Let j be l(8). Let z = j + 18. What is p(z)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 5, e: 8}. What is prob of sequence me?\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -12 + 2. Suppose 3*x - 125 = -s*x. Solve 5*a = 2*m + 17 + 8, 0 = -5*a - 4*m + x for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -2*t**2 + 12*t + 4. Let k(y) = -5*y**2 + 25*y + 7. Let s(u) = -4*k(u) + 9*n(u). Factor s(l).\nAnswer: 2*(l + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 476 - 472. Let p be (4\/6)\/((-2)\/(-12)). Which is the closest to z? (a) -2 (b) -1 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 119 is divided by 56.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.38 + 35.52. Let j = h + -38.9. Is j not equal to 8\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -114 = -2*c + 2*a, -a - 3 - 1 = 0. Suppose -54*l - 6 = -c*l. Is (-145 + -5)\/(l\/3) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16 - -66. Let l = z + -92. Let h = -41.9999958 - l. Round h to six dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:21 PM and 7:32 PM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 - -1 - -1 - -1. Let d(y) = 2 + 2*y + m*y + y. Let v be d(5). Solve -4*b + v = 3*s + 2*s, 21 = 5*s + 2*b for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u - 3 - 6. Let q = u + 5. Solve 0 = -2*x + q - 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j + 11*v + 19557, 25467 + 7128 = 5*j - v. Calculate the highest common divisor of j and 53.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 46767\/(-12) - (17\/(-17))\/4. What is q rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*b - 298 = 5*t, 583*b - 578*b = -5*t - 70 for b.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/28 (b) -1 (c) -131\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (9 + -3)\/(12\/8). Factor 2 - 2*g**5 - 2*g**3 + g**3 + 15*g**4 - 4*g**2 - 13*g**w + 5*g**3 - 2*g.\nAnswer: -2*(g - 1)**3*(g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5271?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 163*o + 1046. What is the units digit of p(67)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/1744 and -133\/4896.\nAnswer: 533664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 10\/9 of a hour?\nAnswer: 4000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a + 4*t + 95, 3*t - 52 = -4*a - 7. Suppose 17*s - a = 70. Solve 0 = -2*f - s*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 12\/(26 - 102\/4). Sort f, 2\/7, 0.059 in increasing order.\nAnswer: 0.059, 2\/7, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -133\/12386664 and 5\/3096666.\nAnswer: 12386664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l - 5*b + 28 = 0, -58 = -5*l + 2*b - 86 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(-8)*(-14)\/(-77)*33\/(-12).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the third derivative of 65*j**8\/168 + j**5\/30 - 13*j**4\/6 - 2*j**2 + 52. Find the third derivative of d(y) wrt y.\nAnswer: 7800*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -165 (base 7) to base 4.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 1671929.\nAnswer: -4\/1671929","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(304) - (1 + sqrt(76) - sqrt(76))**2.\nAnswer: 4 + 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 325 - 260. Does 18 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 444 * 88.\nAnswer: 39072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -15c1c4 (base 13) to base 6\nAnswer: -15331355","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(1008)*-3 - sqrt(1008)) + (sqrt(1008) - (sqrt(1008) + -2 + -4)))**2 + -1*(-2*sqrt(7)*-1 + (sqrt(14)*2)\/sqrt(2) + sqrt(7)).\nAnswer: 715*sqrt(7) + 25236","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11 + 14. Solve -2*x = k*o - 6, 4*o = 3*o for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 1246*v**2 + 4*v - 6163. Let p(g) = 1256*g**2 + 3*g - 6171. Let t(f) = -4*l(f) + 5*p(f). Differentiate t(q) wrt q.\nAnswer: 2592*q - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -298 + 141. Let o = r + 58. Let s = 107.9 + o. What is s rounded to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.08 * 9248\nAnswer: 739.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the third derivative of -c**5\/30 + c**4\/6 + 7*c**3\/6 + 31*c**2. Calculate the lowest common multiple of (-4)\/18 + (-92)\/(-9) and u(3).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 divided by 12?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, -5, 337, 29.\nAnswer: -5, 1, 3, 29, 337","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -95*o**3 + 64*o**3 + 0*o + 0*o.\nAnswer: -31*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 4.4997 * 7\nAnswer: 31.4979","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 490 and 7918435?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -191 = -7*z + 12. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5269024748?\nAnswer: 2, 13, 19, 5333021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 17125 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (96*p**3 - 11123*p + 11123*p)*(1 - 15*p - 3 + 14*p).\nAnswer: -96*p**4 - 192*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 2564041*w**2. Let f(g) = -2*g. Calculate x(f(n)).\nAnswer: 10256164*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -76.2261306 to 3 dps.\nAnswer: -76.226","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 10 = -q, 4*q = 4*k - 48. What are the prime factors of k?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -2*q + 5*q + 30, -q = 2*o - 11. Suppose 0 = o*a - 9*a. Suppose n - 4 = -a. Solve 4*s = 1 + 7, 2*k + 2*s = -n for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from xux?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -37, 124, 691, 1868, 3859, 6868?\nAnswer: 11099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-36)\/(-1)*(3 - 11332\/(-6)). Round f to the nearest 10000.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + (0 + 16 - -2 - 43).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = 2*s + 54, -3*j + 7 - 55 = -4*s. Let n be ((-2)\/j)\/((-3)\/(-12)). Find t, given that n*t**3 + 0 + 0*t + 1\/3*t**4 + 1\/3*t**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 152 - 2.35.\nAnswer: 149.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-16\/5)\/((h\/(h**(8\/11)*h*h))\/h))**4 assuming h is positive.\nAnswer: h**(-104\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1859.079 rounded to the nearest integer?\nAnswer: -1859","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**2 - 9*z + 12. Let s be f(8). Let k = -2 + s. Let v(w) = 5*w - 3*w - 2*w + 2 - k*w. Give v(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0 and -553739455.3.\nAnswer: -553739455.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = 5*g - 28, c + 4*c - 38 = -4*g. Let b(i) = -i**3 + 8*i**2 - 11*i - 1. Let k be b(c). Solve -4 = -k*j + 6 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14298, 14426, 14658, 15006, 15482?\nAnswer: 16098","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 831023.8l to millilitres.\nAnswer: 831023800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00123254 to 6 dps.\nAnswer: 0.001233","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2205 + 116*s - 2205)*(33*s + 4*s**2 - 18*s - 13*s) to the form j*s**2 + u*s + r + d*s**3 and give j.\nAnswer: 232","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 29165?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 0 (b) -2\/5 (c) -11 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**2 + 24*n + 41. Let j be a(-23). What is the highest common divisor of j and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 665 divide 2255737855?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -59, 1, -34987\/3 in increasing order.\nAnswer: -34987\/3, -59, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*j**3 + 2*j**3 - j**3 + (-85*j**2 - 308 + 308)*(2*j + 4 - 4).\nAnswer: -169*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -118*l - 290*l = -5712 for l.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13017 is divided by 12457.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2613 is divided by 2597.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 87.38945429 minus -4828?\nAnswer: 4915.38945429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(-15))\/(-2)*(-13)\/39?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, j: 2, w: 1, v: 1, a: 1, t: 1}. What is prob of picking 1 w, 1 j, and 1 o?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11, -7, -1, 7, 17, 29?\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve w**2 + 34118*w + 291009481 = 0.\nAnswer: -17059","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2\/121 - -127\/363. Let g = 1\/627 + -2515\/4389. Which is the nearest to p? (a) 3 (b) g (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3815.7800064 - 3816.78. Let o = d + 1. Round o to six decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 32\/5 of a litre?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1\/6))**5 assuming q is positive.\nAnswer: q**(-5\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2156, 2153, 2146, 2129, 2096?\n\"Answer: -f**3 + 4*f**2 - 8*f + 2161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -860668 divided by 206\nAnswer: -4178","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -21403, -2, -3 in descending order.\nAnswer: 5, -2, -3, -21403","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2696 + -3791. What is the remainder when 3 - (-44)\/(-12) - t\/9 is divided by 41?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uxngvbx. Give prob of picking 1 v and 1 x.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r - 3 - 1 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9441479, -18882947, -28324379, -37765757, -47207063, -56648279, -66089387?\nAnswer: -75530369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**2 - 16*b + 46. Let z be 1*-7*-1 + (-195 - -201). What is u(z)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**2 - 10*m + 29. Let h be l(5). Let b(t) = t - 51 + 51 - h*t. Let f(p) = 8*p. Give f(b(d)).\nAnswer: -24*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -3*w**2 - 43*w - 114. Calculate d(-11).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (171 - 3)\/24.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 23.353 + -23.5529925. Let y = n + 0.2. What is y rounded to six dps?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (18\/10)\/((-6)\/(-10)). Let v = 1 - 7. Sort 5, v, r in decreasing order.\nAnswer: 5, r, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85 = 16*s + s. Suppose -16 = -2*q - 5*n + n, -2*q = s*n - 20. Solve -3*o = -3*a - 3, -10 = -q*a - 5*a for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 13) to base 4.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 3830187?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vd when two letters picked without replacement from {i: 4, v: 2, d: 1, g: 1, q: 3}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -50*l - 78. Let i(w) = 6*w + 8. Let b(y) = 39*i(y) + 4*k(y). Let n(g) = -34*g. What is 4*b(r) + 3*n(r)?\nAnswer: 34*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**2\/6 - 941*m\/6 - 943\/3.\nAnswer: (m - 943)*(m + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 95617403?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -2*c + 47. Let y be u(22). Suppose -3 - 24 = y*j. Calculate the remainder when (-3)\/9*-2 + (-336)\/j is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -3*f**2 - f - 1. Let a be x(-1). What is the tens digit of 2\/a + (-50)\/(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 608 and 32954208?\nAnswer: 608","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30)\/20*(-1)\/6*-8?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -13 or 3401\/4725?\nAnswer: 3401\/4725","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1098 and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 260\/(-25) - (-8)\/20. Let t = q - -10. Suppose o + 2 - 9 = t. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-33 + 14 + 15)*(-1 - 1 + 4)*(-w + w - w).\nAnswer: 8*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (121*(-88)\/2420)\/((-8)\/120)?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 106243205?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 - (-2 + (-5 - -10 - 1))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -309*y**4 - 32751*y**2 + 147*y + 32751*y**2 wrt y.\nAnswer: -3708*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**3 + 2*t**2 - t + 318. Let x be g(0). Let s = -315 + x. Let c be 2\/5 - (-26)\/10. What is the greatest common factor of s and c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3578.898 - -3609. Let g = l + -0.102. Let a = -29.99852 + g. Round a to 4 decimal places.\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -4*l - 1. Let k(g) = 7*g + 2. Let q(p) = 3*k(p) + 5*w(p). Let z(f) = -2*f**2 - 6*f - 6. Let n be 0\/(-3) - (5 - 1)\/(-2). What is n*z(d) + 12*q(d)?\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -30 - -58. What is the highest common factor of u and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1365, -21, -1, 3, 2\/3, 0.2 in descending order.\nAnswer: 1365, 3, 2\/3, 0.2, -1, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**32\/x)\/((x\/(x**26\/x*x))\/x)*(x**(1\/5)*x)\/x**(-12) assuming x is positive.\nAnswer: x**(351\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1305, 4725, 14775, 28845, 46935, 69045?\nAnswer: 95175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 40 + -2 + -31 - (5 + -1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1*93\/(-4278))\/(2\/4).\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 24.885 + -0.285. Let f = -25.275 + w. Round f to one decimal place.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.99299 - -0.99299. Let u = 0.118 - 0.03. What is the nearest to t in -0.2, u, -3, 0?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.23 and 142365.\nAnswer: 32743.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q**2\/2 + 28*q - 19\/2 = 0. What is q?\nAnswer: -19, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*u = -6*u. Suppose 4*p - 14 + 2 = 0. Suppose p*j = -u*j. What is j rounded to 6 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2 - (-4 + 3)*8. Let c = a + -1. Suppose 0*q = -c*q + 710000. Round q to the nearest 10000.\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/2574 and -109\/5346?\nAnswer: 69498","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 451952?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 122496 and 8990?\nAnswer: 18986880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -2295 - 0.4\nAnswer: -2295.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*w**5 - 21236*w**4 - 1426872*w**3 - 5184016*w**2 - 4291552*w + 1077120 = 0. What is w?\nAnswer: -990, -68, -2, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:29 AM and 3:39 PM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 7\/25 of a kilometer?\nAnswer: 280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 + -23?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*a + 4*q + 99 = 68 - 61, -a = -3*q + 11 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-7 - -1)*(-2)\/3. Let a(c) be the first derivative of c**4\/2 - 4*c**3\/3 - 2*c**2 + 2*c + 93. What are the prime factors of a(r)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 3 + 1)*(-2 - 2 + 5)*(-1 - 2*r - 2 + 1).\nAnswer: -14*r - 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*j**4\/11 - 44*j**3 + 20318*j**2\/11 - 8296*j + 71424\/11 = 0. Calculate j.\nAnswer: -279, 1, 4, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b + 4*b - 42. Solve b = -4*l + l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -15122, -15210, -15284, -15338, -15366, -15362, -15320?\n\"Answer: n**3 + n**2 - 98*n - 15026","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -46 + 94. What is the highest common factor of 6 and v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23939?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 26.8537, -2\/3, -2, -0.4, -1\/5, -0.3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74 = -3*o + k, o - 9 = k + 15. Find the third derivative of -o*n**2 + n**2 + 1018*n**3 - 966*n**3 wrt n.\nAnswer: 312","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 78 + 8)*(-44 - 4*n**2 + 44) as u*n + l + g*n**2 and give g.\nAnswer: -324","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 + 0. Suppose -3*i + 22 + 14 = 0. Let d = i - m. Solve d*y = -y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 5\/4 of a centimeter?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -39 + 41. Suppose n = 7*s - 2*s + 6, 2*s = 5*n - 7. Let z be -6*((-4)\/3 - s). Is z != q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 o when two letters picked without replacement from {b: 10, o: 9}?\nAnswer: 10\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 197*l + 16885. Give s(-86).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002283 rounded to 5 dps?\nAnswer: -0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 7 divided by -7\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**3 - 41*a**2 - 77*a + 48. What is the tens digit of p(45)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(-3)*r)**16*r*((r\/(r*r*r**8*r*r)*r)\/r)\/r*r**(-1) assuming r is positive.\nAnswer: r**(-28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 3642116*r + 14. Give t(0).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -20 + 17. Let u be (-6 + 10)*(x + 5). Let q(y) = y**2 - 7*y - 7. Determine q(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*(-27)\/144*8?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2 and 0 + 1\/((-4)\/(-16)*1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + c = 29, 10217 - 10303 = j - 33*c for j.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + 3 - (0 + 0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**2\/3 + 9554*y\/3 - 275384\/3.\nAnswer: -2*(y - 4748)*(y - 29)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o - 10. Let s be i(-9). Let k be (-7 + s)*25\/(-20). What is the highest common factor of 20 and k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.06 and -41.6.\nAnswer: 2.496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65055355.\nAnswer: 5, 13011071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 287*r**3 + 5*r**2 - 4*r + 3. Let x be w(4). Let u = x + -405637\/22. Find the common denominator of -79\/24 and u.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 17 - (9 - -17)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3458365?\nAnswer: 5, 113, 6121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 174 and 7908?\nAnswer: 229332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -61850 and 3841?\nAnswer: 65691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19371*q - 1119 - 4*q**2 + 560 + 559 - 14359*q.\nAnswer: -4*q**2 - 33730*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o - 3. Let c be b(-3). Let a = 2669291\/7118088 + -1\/889761. Factor 1\/8*y**4 - 1\/2*y**3 + 0 + a*y**2 + c*y.\nAnswer: y**2*(y - 3)*(y - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -5 and -156 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -105.83 + 0.83. Let p = -105.000235 - d. Round p to five decimal places.\nAnswer: -0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -13 + 65 - (-6)\/(-2). List the prime factors of 1526\/w - (-1)\/(-7).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**3 + 7*h**2 + 4*h - 19. What is the remainder when 305 is divided by b(5)?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from {a: 7, b: 2, g: 1, i: 1, r: 1, n: 5}?\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 32253 (base 8) in base 6?\nAnswer: 142231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -40 - -41. Which is the third smallest value? (a) t (b) 0.01 (c) -16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -222.888 to 1 dp.\nAnswer: -222.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 707255\/1452740 - 2\/(-8)?\nAnswer: 14\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -537, -1044, -1551?\n\"Answer: -507*c - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.8 * -0.1881982.\nAnswer: -0.15055856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -32\/3? (a) -3 (b) -0.5 (c) 1\/5 (d) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -a + 7*u, 948*a - 948*a - 4*u = -8 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -0.019, -5, 1\/2, 2\/9 in descending order.\nAnswer: 1\/2, 2\/9, -0.019, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30597318 divided by -18.\nAnswer: 1699851","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 25732692 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -581777*v**3 + 1164632*v**3 - 580164*v**3.\nAnswer: 2691*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -69*y. Let t(p) = 46*p + 4591. Calculate t(u(s)).\nAnswer: -3174*s + 4591","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 180217 rounded to the nearest one thousand?\nAnswer: 180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**16\/h)\/h*h**(-3\/7)\/h*(h**(2\/5))**1 assuming h is positive.\nAnswer: h**(489\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -117*u**2 - 2*u. Let p(h) = -7*h**2 + 6. Let x(w) = w**2 - 1. Suppose -i - 2*q = -2 + 8, i + 6 = -3*q. Let v(c) = i*x(c) - p(c). Calculate v(l(d)).\nAnswer: 13689*d**4 + 468*d**3 + 4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 + 0. Suppose -5*c = -p*l - l + 20, -4*l + 22 = -c. What is the highest common factor of l and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 254543.\nAnswer: 19, 13397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w**4 + 327*w**3 - 10296*w**2 - 97296*w - 204288 = 0. Calculate w.\nAnswer: -133, -4, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k = -4*t + 4, -150 = t - 4*k - 151 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 30791152 less than -1687?\nAnswer: -30792839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c**5\/4 - 3*c**4\/4 + 15*c**3 - 12*c**2 - 48*c + 60 = 0. What is c?\nAnswer: -5, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 8, j: 8, b: 2}. Give prob of picking 1 b and 1 j.\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 63 * -0.5\nAnswer: -31.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*z + 4*z - 2*z + (-5 + 6 - 3)*(-3*z - 2*z + 6*z) + 5*z - 2*z - z + 12 - 8 - 5 - 3*z.\nAnswer: -4*z - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 4, d: 1, z: 2}. Give prob of sequence zdpp.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -165, -12731 in descending order.\nAnswer: 2, -165, -12731","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -7*c**2 - 6. Let r(x) = -6*x**2 - 5. Let j(y) = -5*l(y) + 6*r(y). Let u(f) be the first derivative of 3*f**2 + 9. Give u(j(h)).\nAnswer: -6*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0\/(-4 + 2) - -1. Suppose -x + 20 = -6*x, -i = x - w. Suppose i*p - 3*p = 10. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 + 3\/4*x - 1\/4*x**2 = 0 for x.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/2 + 6\/5. Let p = 12 - 12. Suppose p = q - 5*q + 8. Is t less than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.1 (b) -100 (c) -0.5 (d) -4442 (e) 2 (f) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a microgram in nanograms?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 5679326\/5 and 1135865 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*d*i*l**3 + 32*d*i*l + d*i - d*l**4 + 3*d*l**3 + 25*d + 13*l**3 + 2*l**2 wrt l.\nAnswer: -30*d*i - 24*d*l + 18*d + 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 547.4298kg in grams?\nAnswer: 547429.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 6*l**2 + 11*l + 23. Give t(-2).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*n + 28*n - 37 - 282 + 319.\nAnswer: 25*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:48 PM and 3:52 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand i**3 + 2*i**3 - 5*i**3 + (-6*i**2 + 9*i**2 + 2*i**2)*(-2*i + 4*i - 5*i) + 4*i**2 - 4*i**2 - i**3.\nAnswer: -18*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 43632?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*t - 2*t**2 - 4*t)*(-12 + 12 - 7*t) - 3*t**3 - 3*t**3 + 3*t**3 + (-2*t + 2*t - 2*t)*(3 + t**2 - 3) - 34*t**3 - 23*t**3 - 38*t**3.\nAnswer: -86*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*c - 6*c + 13*c, 2*c = -3*k + 90. Solve 0 = 13*l - k*l + 68 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the first derivative of 6*w**5\/5 + 2*w + 7. Find the first derivative of r(g) wrt g.\nAnswer: 24*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i\/(i\/(((i\/i**3)\/i)\/i))))**41\/(i*i\/((i*i**(-7\/5)*i)\/i*i)*i*i)**47 assuming i is positive.\nAnswer: i**(226\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 6) in base 8?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 347*z + 1305. Let w be m(-4). Is -56 < w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -16? (a) 1\/5 (b) -1\/4 (c) -4\/5 (d) -3\/14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10 in -3, 3, -2284, -163?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 21 + -18. Put -4, -0.01, y in descending order.\nAnswer: y, -0.01, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (17 - (21 - 9)) + -6 - -11\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -29963 + 31264. Does 2 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4286 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 16) to base 14\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*sqrt(110) - sqrt(110))*-4)\/((-1*sqrt(120))\/sqrt(12)))**2.\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13 + -18. Let m = 0.1 - 0.7. Let p = -0.8 - m. Which is the nearest to 0.1? (a) f (b) p (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 2*w = 2*w - 4, -w = -s + 7. Let u = -0.7 - -1.2. Suppose -g + 5 = -5*r + 13, -3*r = -2*g - 9. Which is the biggest value? (a) u (b) s (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**2 + 2*r + 3. Let v be d(-4). Let b(w) = -w**3 + 11*w**2 + 4*w - 2. Does 14 divide b(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the second derivative of -17*d**4\/12 + d. Let c(r) be the first derivative of 110 + r - r - 817*r**3 + 818*r**3 + 93. Calculate c(w(l)).\nAnswer: 867*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -603\/25 or -23?\nAnswer: -603\/25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2\/7)\/(((((l\/(l**(-2\/13)*l))\/l)\/l)\/l*l)\/l*l))\/(l**1)**(-8\/19) assuming l is positive.\nAnswer: l**(3426\/1729)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 4, v: 6, k: 3}. What is prob of picking 1 k and 2 i?\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13467, -13430, -13393, -13356, -13319, -13282?\nAnswer: -13245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the third derivative of b**4\/24 + 4*b**3\/3 - 13*b**2. Let t = -2 + 5. Suppose 4*f + 5*q + 0*q + 39 = 0, 3 = -2*f + t*q. Give s(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71458877 to the power of 1\/5, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let o = -13 - -427. Let b(j) = j**3 - 256 - 3*j + o - 2*j**2 + 429. Is b(0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 2 f, and 1 p when four letters picked without replacement from ttfttttfuppt?\nAnswer: 14\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7611533 is divided by 176?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -36*d**2. Let n(x) = x**2 + x + 7. Let h(z) = -15*z**2 - 2*z - 14. Let p(k) = h(k) + 2*n(k). Calculate q(p(o)).\nAnswer: -6084*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 4, o: 1, t: 4, a: 6}. What is prob of picking 2 a?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v*v\/(v**(2\/95)*v*v))\/v**37*((v*v**(-16)*v)\/v)**22 assuming v is positive.\nAnswer: v**(-34772\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (2 + -15 - (267 + -309)) + -5\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 40 = p - 11, 2*p = -3*l + 109. Suppose 4 = -4*y - 12. Let x(q) = -6*q - 5. What is the remainder when p is divided by x(y)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 28*a + 26. What is z(-1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 43036232?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 5*l**3 + 157*l**2 + 30*l - 982. Give h(-31).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 2*l**3 - l**2 + 2*l - 1. Let v be k(1). What is the third derivative of 21*r**v + 3*r**6 - 2*r**6 - 17*r**2 wrt r?\nAnswer: 120*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47897.\nAnswer: 211, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -4*(sqrt(14)\/sqrt(7))**2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 61099823 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 - (-4)\/(0 - -2). Let u = g - -1. Is (75\/9)\/(u\/3) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1208, -4496, -9886, -17378, -26972, -38668, -52466?\n\"Answer: -1051*s**2 - 135*s - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -515423 less than or equal to -515428?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-22*(-28)\/1386)\/(4\/6).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve w - 7 = -5*i, 2*i + w = -4 + 8 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10 + -10.1. Let w = 0 - a. Let u(t) = -t - 10. Let m be u(-13). What is the second biggest value in -4, m, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -9*k + 9*k - k + 0*k. Let g(w) = -4 + 4 - 3*w. What is g(p(x))?\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/4*(-3296)\/(-3708)\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xddekdedddrdddrdrre. What is prob of picking 1 k, 1 r, and 2 e?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v = -5*j - 10, 0 = -v + 9 - 4 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -202*u**2 - 14970*u + 14970*u.\nAnswer: -202*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (4 + 2 - 0) + -8\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 31*a**3 - 12*a**2 + 3*a - 7. Let c(v) = -23*v**3 + 11*v**2 - 4*v + 8. Let n(x) = 4*c(x) + 3*g(x). Determine n(-9).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 8 - (3\/(-1) + 5). Let x be (-2)\/j - 6\/(-36). Sort 3\/2, x, 3 in decreasing order.\nAnswer: 3, 3\/2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.12 + 1.98. Let m = -2.09999974 + n. What is m rounded to 7 dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/7*g**2 - 6*g + 43\/7.\nAnswer: -(g - 1)*(g + 43)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r - 10 = 4. What is the closest to 0 in 0.1, r, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9257 - 9253. What is the second smallest value in -2, -10, 2\/35, v?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 26, 96, 208, 362, 558, 796, 1076?\nAnswer: 1398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g - 1416 = -4*g. Let f = -717 - -1658. Let c = f + g. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -82, -2034 in ascending order.\nAnswer: -2034, -82, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 122 is divided by 18?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the first derivative of -p**3\/3 - 3*p**2 - 21*p - 1467. Let z(t) = -t - 1. Give u(x) - 6*z(x).\nAnswer: -x**2 - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 327450?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**3 + 3. Suppose -4*z = 3*t + 20, 7 + 13 = -4*t - 4*z. Let m be p(t). Let q = -5 + m. Is 1 equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = -4*l, -v + 3*l - 36 + 46 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 12220001?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-12)\/(-8)*472\/6.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f + 1392 = z - 4*f, -f = -z + 1386. Suppose 0 = 3*a - a - z. What are the prime factors of a?\nAnswer: 2, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -668409 or -668408?\nAnswer: -668408","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -23312 - -131133?\nAnswer: 101221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Is 11429 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2292385 and 235?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Total of 121076 and -21.7579521.\nAnswer: 121054.2420479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -3\/8 (b) -3 (c) -113859 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 25*w - 26*w - 2*w**3 + 6*w**4 + 4*w**3 as k*w**4 + o*w + p + s*w**3 + f*w**2 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**2 + 21 + 4*o - 8*o - 28. Let u = 324 - 318. Let k be r(u). Solve -2*w = 3*q - w + 8, 4*w = -k*q - 25 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9444 is divided by 1268?\nAnswer: 568","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*p**2 - 6*p**2 - 4*p**2)*(-2 - 1 + 6)*(-4*p + 2*p + 0*p).\nAnswer: 18*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 23197? (a) 0.06 (b) -7\/5 (c) 0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 411046 * -0.3.\nAnswer: -123313.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*x + 13*x = -9 + 305 for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.108 + -0.408. Which is the third biggest value? (a) -3 (b) 4 (c) 1 (d) v\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 10*(-3 + 14\/(-4)). Let f = b + 150. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 669 - 666.4. Which is the smallest value? (a) n (b) -0.1 (c) 0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2355627611 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 + 12. What is the units digit of ((-26)\/a)\/(3\/(-6))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(-3) - 19\/57. Solve -4*c - 4 - 8 = b for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 9 = 3. Let k(j) = 2*j**2 + 1. Let y be k(g). Let q = 8 + y. Is q a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14*((-18)\/4 + (0 - -5)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 75618 and 4482?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 37981935 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**3 + 7*g**2 + 4*g - 6. Let y be l(-6). What is the units digit of (16\/6)\/(2\/y)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2*36\/9*2\/(-4). Solve 0 = 5*f - h*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -1\/6 (b) -3\/8 (c) -5 (d) 0.07 (e) 0.06231\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20*30\/250)\/(6\/(-20)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 22568 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 + -3. Let g = 10 + -15. Let s = g + 3. Sort s, o, 1.\nAnswer: s, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 20 = 29. Suppose m = -3*h - 4*m + 18, 10 = h + a*m. Solve 4 = 2*b - 4*i, h = -2*b - 2*i - 7 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1707 a factor of 345715667?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of a*l*x**2*y - 2*a*x**2*y - 2*a*x + 168*a - 438699*l*y - l + 11*x**2*y + 2*x*y - 2*x wrt l?\nAnswer: a*x**2*y - 438699*y - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.025 and -0.83?\nAnswer: 0.02075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 13448128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 2*t - 2 = 0, 3*l + 3 = 2*l + 5*t. Solve -p + 2 + l = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 150, 144, 134, 120, 102, 80?\n\"Answer: -2*i**2 + 152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -200*g - 1594. Calculate y(-8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -57*(-15)\/(2 + 13). Solve -105 - z = 27*a for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8866)\/992 - ((-49)\/(-16) - 3).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 6, g: 7}. What is prob of picking 2 g?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -870 + 874. What is the lowest common multiple of 145 and d?\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f. Suppose -k - 3*k = 0. Suppose o + 4*o - 35 = k. Let s(t) = t - t + 0*t - o*t**2. What is w(s(j))?\nAnswer: 7*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes before 12:40 AM?\nAnswer: 6:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, -3, -5\/2, -18?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -258880 greater than -3365421\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8879755.999695 - -8879776. Let v = -3058 + 3038. Let g = v + m. What is g rounded to 5 decimal places?\nAnswer: 0.00031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the first derivative of j**2\/2 + 25*j - 1. Let q be b(0). Suppose -2*d = q - 101. Is 11 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 211201012 (base 3) to base 12.\nAnswer: 96b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 225225 a multiple of 75?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 276*x. Let o(r) = 16751*r. Give p(o(f)).\nAnswer: 4623276*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 - -1.5. Let d = 0.09 - 3.09. Which is the closest to -2? (a) -0.3 (b) d (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20*z**3 + 285*z**2 + 330*z + 65.\nAnswer: 5*(z + 1)*(z + 13)*(4*z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 628052096?\nAnswer: 2, 7, 61, 11491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w**4 + 330*w**3 - 2181*w**2 + 1854*w = 0 for w.\nAnswer: 0, 1, 6, 103","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence or when two letters picked without replacement from rozruwoe?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16 - -1. Let x(w) = -38*w**2 + 163*w - 40. Let h be x(4). Put h, -4, 2, l in decreasing order.\nAnswer: l, h, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/24*3)\/(66\/16).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 39\/5, 2, 0, -1\/4, 1\/27 in decreasing order.\nAnswer: 39\/5, 2, 1\/27, 0, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 308728, 308719, 308710, 308701, 308692, 308683?\n\"Answer: -9*r + 308737","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 243 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ime when three letters picked without replacement from {e: 10, m: 1, i: 6}.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b**2 - 5*b**2 - 23*b**2 + (0*b - 4*b + 0*b)*(9*b - b - 4*b))*(2*b - 4*b + 4*b).\nAnswer: -82*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 greater than 14359.565?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 293 - 71 = -37*i for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1011*4\/24*-2. Let i(t) = -t**2 + 14*t + 151. Let a be i(24). Let h = n + a. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1233 and 2691 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -377 - -377. Suppose 0 = -4*x - w + 4 + 20, l = -4*w. Suppose 44 = 2*k + 2*k. What is the remainder when k is divided by x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (((-1)\/4)\/((-5)\/1070))\/(-17) and -101\/4?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u - 180. Suppose 16*j = 4*o + 13*j - 74, -5*o + 110 = 5*j. Calculate the remainder when u is divided by o.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -3*u. Let y(i) be the third derivative of -i**5\/20 + 57*i**4\/4 + i**3\/3 - 3825*i**2. What is y(d(r))?\nAnswer: -27*r**2 - 1026*r + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/5 of a kilometer?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.14 + -119919?\nAnswer: -119918.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sum -35022806678 and -30.\nAnswer: -35022806708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 108*g**2 - g - 2. Let j(r) = -215*r**2 + 2*r + 5. Calculate -2*j(l) - 5*z(l).\nAnswer: -110*l**2 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -7515, -7516, -7517, -7518, -7519?\n\"Answer: -p - 7514","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 901025?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gx when two letters picked without replacement from {x: 3, g: 1, u: 1}?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 6*c + 6579, 2*n - 110*c = -107*c + 4380. Solve 0 = 2177*b - n*b - 4 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the second derivative of j**4\/12 + 17*j**2\/2 - j. List the prime factors of b(0).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 2*p + 10. Let l(d) = -d - 5. Let f(n) = 7*l(n) + 4*x(n). Calculate f(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(144) - (3*sqrt(144) + sqrt(144) - sqrt(144)))\/sqrt(2))**2 - ((0 + sqrt(200) + sqrt(200) - sqrt(2))*1 + -3)**2.\nAnswer: 114*sqrt(2) + 421","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/5? (a) 1\/7 (b) 1 (c) -22\/9 (d) -0.06\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r*r\/(r**18*r)*r*r*r)**24*(r**37\/r)\/(r**(-26)\/r))**(-22) assuming r is positive.\nAnswer: r**5478","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 122 + 74 = 0. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 1790 = -5*a + y, -4*a = -2*y - 1450. What is the greatest common divisor of a and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 - ((-16)\/(-4) - 2). What is the remainder when 157 is divided by 36 + (-3 - -6) - (c + 1)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**2 - 12*j + 10. Let a be b(-12). Let y(p) = p - 3. Let g be y(a). Suppose -4*u = -3*u - g. What is the greatest common divisor of u and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 + 104 = 4*z. Let n be z + 1\/(-3 + 4). Let f = n - 21. Put f, 4, -3 in decreasing order.\nAnswer: 4, f, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 470455145?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 22.6 + -22.4. What is the closest to -2 in 1\/3, -10.6, k, 2\/5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.044 (b) -3\/2 (c) -6 (d) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -69 - -845863?\nAnswer: 845794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/5417 or -1?\nAnswer: -2\/5417","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 2, -2, 7, -9?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -872012*x**2 + 121471*x**2 - 97855*x**2.\nAnswer: -848396*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**3 - 11*v**2 + 7*v - 29. Give p(12).\nAnswer: 199","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 338109929 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15.6 - 14.255. Let s = i + -0.345. Let u(j) = j**3 - 2*j**2 - j + 2. Let b be u(2). What is the nearest to b in s, 5, -4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 4*y + 2. Let a be m(1). Solve 2*l + 4*k - a*k = 8, 3*l = -4*k + 5 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 44*m**3 - 16230*m**2 - 13630*m + 100*m**3 - 5*m**4 - 1859 + 35499 - 4350*m + 431*m**3.\nAnswer: -5*(m - 58)**2*(m - 1)*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-2\/13))**11\/(w*w**(-2\/19)*w)**(3\/11) assuming w is positive.\nAnswer: w**(23885\/2717)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.003283 to three dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iyll when four letters picked without replacement from lkyeyixl.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6329*i - 29 = 6327*i + 3*x, 22 = -2*x for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p + 4*f - 84, -p - p + 5*f = -60. Calculate the remainder when 1738 is divided by p.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the first derivative of -2*k**3\/3 + 139. Let o(q) = -2*q + 2. Let w(x) = -o(x) - t(x). What is w(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.31 + -0.01. Put -1\/4, j, -1\/7 in ascending order.\nAnswer: -1\/4, -1\/7, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12 - -3. Let u be 69 + -6 - (0 + 0\/1). Let z be 2\/t + (70\/u)\/5. Solve 2*s + 3*s + 15 = z for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c\/(c*c*c\/(c\/(c*c*c**(-1\/4)))*c*c))\/c*c\/c**7)\/(((c\/c**(-13))\/c)\/(c\/(c\/c**(-13\/2)))) assuming c is positive.\nAnswer: c**(-121\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 266?\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2990, 2988, 2986?\n\"Answer: -2*a + 2992","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -164.2 rounded to the nearest ten?\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 27.5 + -27. Which is the nearest to -2? (a) p (b) -5 (c) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**3 + 4*d**2 - 4*d + 2. Determine w(2).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n - 5*c - 55, 0 = n + 4*n + 3*c - 23. Let y = 8 - n. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c**(-3\/8)\/c)*c\/(c*c\/((c**2\/c)\/c)))\/(c**(-2\/5)\/c**8) assuming c is positive.\nAnswer: c**(391\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(136) + sqrt(136)*1*5 - (sqrt(136) + (sqrt(136) - (sqrt(136) + 4*(1*sqrt(136) + sqrt(136)))) - sqrt(136)))\/((sqrt(352)*3)\/sqrt(11)).\nAnswer: 7*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 357 and 2029426?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**2 - 3*f - 6. Let j be p(-4). Let c be (8\/(-2))\/(10\/j). Solve 4*g + 0 = -3*v + 2, 5*v - 14 = c*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3.88 and 2952.\nAnswer: -11453.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, 5, -1547, -1\/8, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 91482?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.1 take away 52093.932651?\nAnswer: -52090.832651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 2 + -1 + -2 + -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 624010?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooqwtwwqqoowwooqwo. What is prob of picking 1 t and 1 q?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 58*l**2 + 8. Let y(r) = 19*r**2 + 3. Let f(n) = -4*j(n) + 11*y(n). Differentiate f(i) with respect to i.\nAnswer: -46*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 4, 2, -19\/7, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1*-4*(11 + -2 + -4). Let m be ((-8)\/k)\/(1 + 84\/(-90)). Solve -4*j + m = 2*q - 0, 2*q = 5*j - 12 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*u**2 + 44*u + 47*u - 91*u - 2*u**2.\nAnswer: 6*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2 - 1) + 1 - -2. Suppose -2*g - s*b - b = -5, 5 = -4*g + 5*b. Let z = -11 + 11. Is g > z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -163 = -36*n + 125 for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -81*z**3 + 2*z**2 + z + 54*z**3 + 29*z**3 - 2*z**4 + 8 in the form p + d*z**4 + t*z + s*z**2 + k*z**3 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 + -10. Let z be (-8)\/(2 - (2 - x)). What is the third biggest value in -3\/5, 0.4, z?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 294 + -45. What is the tens digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 9033.103 centuries?\nAnswer: 903310.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -15811*f*j**2 + 7932*f + 190*j**2 + 391 wrt j.\nAnswer: -31622*f*j + 380*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 61.5 in 3, 0.2, 4, 6, 1?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.34244427 rounded to three dps?\nAnswer: -3.342","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d - 2*d + 9. Let t = 20\/3 + -254\/39. Which is the nearest to -2\/3? (a) 0.5 (b) d (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 - (-1 - (1 - -1)). Suppose 0 = -5*w + 3*o - 2*o + 163, 0 = -3*w + i*o + 93. Let r = w + -22. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 357.8 + -1001.9. Round z to the nearest 10.\nAnswer: -640","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**3 + 7*t**2 - 6*t - 12. Let n be u(6). Let o be (0 - -1)\/(n\/(-60)). Let v = -23 - -24. Solve -x + 0 = 4*y - v, 0 = 5*x - 5*y - o for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -20, 22, 64?\n\"Answer: 42*b - 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 933*u + 251*u - 260 = -26308 for u.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 3*q**3 + 191*q**2 - 107*q - 2790. Calculate w(-64).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-21)\/(-14)*70\/(-21)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 84 + -79. Suppose q*u - 316 = -w, -16*w + 2*u + 330 = -15*w. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 81076?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 - -11. Suppose -x*n = -263 - 61. Is n a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15 - -12. Let s = -0.3 + 5.3. Put s, -2, j in decreasing order.\nAnswer: s, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, 0.05, -1\/4, -210.1 in descending order.\nAnswer: 15, 0.05, -1\/4, -210.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 9461*i**4 - 287 wrt i?\nAnswer: 37844*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the first derivative of -2*k**3\/3 + k**2\/2 + 2*k + 7. Calculate p(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.8, -17, -0.06 in decreasing order.\nAnswer: -0.06, -0.8, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 2*q + 9. Suppose -q*o + 186 = -0*o. Is o a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**2 - 9*t - 4. Let u be 9\/21*(180 - 173). Determine j(u).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -g + 5*x, 3*g - 9 = -x + 2. Is 76 + (g - (6 - 4)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 23.46 * -3325.\nAnswer: -78004.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - 762*l = -758*l - 24, 5*d = 2*l - 30 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5464.9 - -5465. Which is the nearest to o? (a) 0.1 (b) 1\/3 (c) 4\/3 (d) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7\/73 less than -0.5111?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 4*n - 370 - 326, 2*n = 4*d + 354. Suppose 0 = -4*f + 3*u + 1275, 3*u + 141 = f - n. Let o = f + -188. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 (base 3) in base 6?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10242603.\nAnswer: 3, 7, 367, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -80*s**5 + 25*s**4 + 6*s**2 - 287427*s.\nAnswer: -1600*s**3 + 300*s**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 41*a*c*q**3 + 2*a*c*q*z + 2*a*q - 50*c*q*z - 2*c + 76*q**3*z + 8*z wrt q?\nAnswer: 246*a*c*q + 456*q*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2122000013 (base 4) in base 12?\nAnswer: -26505b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 152, 310, 474, 644, 820?\nAnswer: 1002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 2 + 4 - 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the first derivative of -y**3\/3 - 11*y**2\/2 + 9*y + 1. Let f = -27 + 17. Calculate the remainder when t(f) is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1318*m - 369*m + 899*m - 79464 for m.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1256, -351, 1158, 3271, 5988?\n\"Answer: 302*y**2 - y - 1557","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 4, b: 4, l: 6}. What is prob of sequence lf?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -2*q**2 + 4*q - 6. Determine g(3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3404 divided by -148?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3113 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ivbb when four letters picked without replacement from {g: 6, b: 4, i: 3, r: 5, s: 1, v: 1}?\nAnswer: 1\/3230","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 242, 739, 1504, 2681, 4414, 6847, 10124, 14389?\nAnswer: 19786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes before 5:17 PM?\nAnswer: 5:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -3*g - 2377, 5*t + 5*g - 4259 = 1721. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000005503 rounded to seven dps?\nAnswer: 0.0000055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 2*p + 13, -3*p + 16 = 2*l + 3. Let d be (1 - (-6 - -13)) + 5\/(100\/128). Which is the closest to -1? (a) p (b) d (c) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -38*u + 742. What is v(19)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 6.75879kg?\nAnswer: 6758790000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -2*n**3 + 17*n**2 + 4*n + 54. Let v be q(9). Suppose -o + 3*z + 374 = 0, 10 = v*z - 7*z. What are the prime factors of o?\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4964708344.\nAnswer: 2, 313, 983, 2017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 957.23 - -13.77. Is -0.01 less than or equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 761499092 is divided by 3535.\nAnswer: 3532","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6615 + 6258*x - 3134*x - 3126*x to the form g + q*x and give g.\nAnswer: -6615","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 5*n**3 + 380*n**2 + 4995*n + 11700 = 0.\nAnswer: -60, -13, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/231 (b) 2 (c) -3 (d) 97\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + r + r + 3 = 0, 0 = -4*x + 3*r + 32. Solve -t = -x*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1170 - -1188) + -1 + -3.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 26 - 80\/3. Let r = 1.2 - 0.7. Let v = 99 + -101. What is the closest to 0 in y, r, v?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*v**5 + v**5 - v**5 + (-v**2 + 0*v**2 - v**2)*(-1 + 1 - 2*v**3) + 2*v**5 - 1434*v**4 + 48*v**2 + 1433*v**4 + 10*v - 7*v**2.\nAnswer: 4*v**5 - v**4 + 41*v**2 + 10*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 2594835?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -23.03 + 0.03. Let g = a - -23. What is the nearest to g in 4, -3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -202*(-2 + 15\/6). Let v be 75\/30*(-106)\/5. Let j = v - r. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.04067 and 5?\nAnswer: 5.04067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:07 AM and 12:26 PM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:14 AM and 8:18 AM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -121 + 201. List the prime factors of l.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 800 is divided by 248.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -0*w - 2. Let o(u) = -2*u**3 - 36*u**2 - 81*u + 139. Let h be o(-15). Which is smaller: h or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -721919 - 21170\nAnswer: -743089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*w + 3*w - 20*w)*((3 - 3 + w)*(-1 + 2*w + 1) - 12*w**2 + 31*w**2 + 6*w**2).\nAnswer: -270*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 69233.24 milliseconds to seconds.\nAnswer: 69.23324","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3896460915483+-4\nAnswer: 3896460915479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 937974?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -37, 2, -2, -274, -12 in ascending order.\nAnswer: -274, -37, -12, -2, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in twenty-seven quarters of a microgram?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**2 - 15*z + 59. Let l be j(8). Solve -2*a + 3 = -5*o, -6*o - l*a = -10*o - 1 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-27)\/30 + 1 - 6108\/(-120). What is the second derivative of 128*t**2 + 6*t**3 + z*t - 24*t**2 - 8*t**3 wrt t?\nAnswer: -12*t + 208","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11274 + -10934. What is the smallest common multiple of n and 340?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 88*n**2 + 8*n + 10. Let g be w(-9). Let x = -84733\/12 + g. What is the common denominator of 49\/18 and x?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2205?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ksu when three letters picked without replacement from {k: 1, g: 1, s: 2, u: 3}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/3*(-6 - 6).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4.38 + -9.38. Let n = 28462.3 - 28467.30009. Let d = g - n. What is d rounded to 5 dps?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**2 + 6*b + 2. Let v be x(-6). Let l(y) = -2 - y**v + 9 - 5*y - 1. What is the remainder when 8 is divided by l(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -175.\nAnswer: -1\/175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -256 - -558. What is the hundreds digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*f**2 + 23*f - 5*f**2 + 4*f**2 as w + v*f**2 + x*f and give x.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -2*a**2 + 18*a + 4. Suppose -262*i = 27*i - 45*i - 3172. Calculate w(i).\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j**(-1\/3)*j**3*j)\/(j**6\/(j**(-13)\/j)))**(-16))**(2\/21) assuming j is positive.\nAnswer: j**(1472\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 0)*((-26)\/8 + 3)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x + 783 = 10*x - b, 573 = 3*x + 4*b. What are the prime factors of x?\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 21*r**3 + 62*r - 60. Determine l(1).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide ((-260570)\/(-28) - 143\/2002) + 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 4 - 29 = 0. Suppose 0*o = y*o - 10. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/(-4))\/((-12)\/24). Let k = -0.1 - 3.9. Which is the smallest value? (a) k (b) -3\/4 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 2*l**3 - 49*l**2 + 23*l + 31. Give n(24).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 431839.9593638 + -431232.9593. Let d = 607 - c. What is d rounded to 5 dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j**4\/7 + 492*j**3\/7 + 9831*j**2\/7 + 9450*j + 138024\/7 = 0. What is j?\nAnswer: -142, -9, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**2 - 4*w + 2. Let u(r) = -2*r - r**2 - 3 - 6*r + 7 - 2*r**2. Let x(y) = 9*j(y) - 4*u(y). Is 10 a factor of x(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*g**2 - 177*g + 328*g - 151*g.\nAnswer: 7*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -5*w, -5*q - w + 1 + 7 = 0. Suppose 6 - q = -y. Sort -0.3, 0, y in ascending order.\nAnswer: y, -0.3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.28 + -4.72. Are l and -4.1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 3 - 1)*(-6 + 6 + 5*d**2) + (-53*d**2 - 2354 + 2354)*(3 - 3 + 1).\nAnswer: -48*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 397197184.\nAnswer: 2, 967, 3209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12, 58, 176, 402, 772, 1322?\nAnswer: 2088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6839.7 - 6840. Which is the nearest to 0.7? (a) -11 (b) -0.4 (c) r (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 - -10. Let n = m - 18. Let s(f) = -f**3 + f**2 - 1. Let v(x) = 6*x**3 - 10*x**2 + 8*x + 1. Let z(w) = n*v(w) - 20*s(w). Let z(p) = 0. What is p?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-3 - -8) + 19\/(4\/(-1916)*-1).\nAnswer: 2, 29, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 1 + sqrt(19) - sqrt(19) - (3 + sqrt(19) + 1).\nAnswer: -sqrt(19) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 885*n**2 + 1764*n - 12 = 0.\nAnswer: -2, 2\/295","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 5)*(2*c - 8*c - c) - 955*c + 429*c - 1279*c.\nAnswer: -1819*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 202 and 1717.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -31.84121 rounded to 2 dps?\nAnswer: -31.84","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (40 - -1) + (-22 - (2 + -15)) - (8 - 9)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 2 - 6*k - 4*k**2 + 3*k**2 + 2. Give i(-3).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -3*p - 4*l - 7, 36 = -4*p + 4*l. Let m be 18\/(1*3*p\/(-6)). Let q be (-3)\/m*-15 + -3. Solve -2*r = q*o + 2*r + 28, -5*r = -3*o + 13 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 32721312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2511 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(2736) - sqrt(2736)*-2) - sqrt(2736)) + sqrt(2736) + -1 + 4.\nAnswer: -1 + 36*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h - 10*h - 10. Let j be (2 + h)\/(-3) + -63. Round j to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -21 - 18*y + y**2 - 3 + 20*y. Let x be n(-7). Let d(u) = 72726*u + 14. Let m be d(x). Round m to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -423*c + 2000*c = -72259 - 25515 for c.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 78379 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-11 - 144738\/(-135)) + 2\/(-15)?\nAnswer: 1061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15\/32 + 173\/96. Let x = -3.2 - 0.8. Suppose 2*r = 5*r - 15. Which is the nearest to 0? (a) x (b) r (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 7\/2 - (170\/20 - 8). Let g(j) be the third derivative of 0*j**4 + 0*j + w*j**2 + 0 - 1\/30*j**5 + 0*j**3 + 1\/60*j**6. Factor g(c).\nAnswer: 2*c**2*(c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 18\/5 + 4\/10. Suppose 0 = -j + v + 1, -r*j - 3*v = -5*v - 6. Differentiate j + d + 0*d - 1 wrt d.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*r**2 - 3*r**2 + 4419*r - 5*r**2 - 2187*r - 2232*r.\nAnswer: -6*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32551079.\nAnswer: 11, 29, 67, 1523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-2\/17)\/(p\/p**(1\/14)*p) assuming p is positive.\nAnswer: p**(-487\/238)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*q**4 - 38*q**2 - 21 - 4*q**4 + 3*q + 40*q**2 to s*q**4 + k*q + d + z*q**2 + c*q**3 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 773*u**3 + 761*u**3 - 1532*u**3.\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9022 = -81*d + 55*d. Is d a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w + 0*w + 0*w)*(-2 - 2 + 2)*(0*w - 3*w + w)*(-4 + 3 - 2).\nAnswer: 12*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -725583, -725582, -725581, -725580, -725579?\n\"Answer: l - 725584","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes before 12:42 PM?\nAnswer: 6:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 336*n + 333*n - 3799*n + 3142*n.\nAnswer: 12*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -889, -882, -873, -862?\nAnswer: -849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 454*t**2 - 11*t - 1159. Let h(i) = 1372*i**2 - 31*i - 3478. Let d(k) = 11*c(k) - 4*h(k). Differentiate d(o) wrt o.\nAnswer: -988*o + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 5*s - 25 = 2*h, 4*h - 35 = -5*s. Let u(z) = z**3 - 3*z**2 - 8*z + 6. What is u(h)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3733453, 3733451, 3733437, 3733405, 3733349?\nAnswer: 3733263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 5\/60*3*6\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -87 - -781\/9. Which is the biggest value? (a) 1\/3 (b) q (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12 - (7 + -9) - 8) + (0 + -4 - 1).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*p**4\/11 - 420*p**3\/11 - 11016*p**2\/11 - 128316*p\/11 - 560082\/11.\nAnswer: -6*(p + 17)**3*(p + 19)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-27)\/(-3))\/(176\/(-176)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:43 PM and 3:25 AM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(-6)\/216*3.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes after 5:28 PM?\nAnswer: 12:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 74 in -2, -0.2, 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -18554571, -18554573, -18554575?\n\"Answer: -2*y - 18554569","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 172 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(2\/5)\/o)**(-13\/7) assuming o is positive.\nAnswer: o**(39\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - (57 - 26))\/(2 + 0)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/2172 and 85\/36.\nAnswer: 6516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/6 - (-2)\/(-28). Let y = -10.6 - -7. Let o = y - -4. Sort i, 3\/4, o.\nAnswer: i, o, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 152928 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*w = -0 + 28 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5696 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 8 (base 16) to base 9\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 750000 rounded to the nearest one hundred thousand?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 - -6. Suppose z*f = 6*h - h + 10, -4*f = -5*h - 15. Let r(x) = -3*x - 4. Let l be r(-3). Put l, h, 4 in descending order.\nAnswer: l, 4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 220 and 56865\/259 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10 + 12. Let q = -5 + 4. Which is the third smallest value? (a) q (b) u (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 - -9. Suppose -26 = -2*k + 64. Calculate the greatest common divisor of b and k.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t\/(t\/t**(-2\/3)*t))\/t**5)**(1\/6) assuming t is positive.\nAnswer: t**(-17\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 33614 and 42.\nAnswer: 100842","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the first derivative of -k**7\/840 + k**6\/360 - k**4\/24 + 5*k**3 - 19. Let m(d) be the third derivative of j(d). Give m(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of (-3)\/(6\/(-52)) - (0 + 0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2095?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 539915 a multiple of 107?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-10)*c*c*c**(3\/10)*c*c)**(2\/11) assuming c is positive.\nAnswer: c**(-57\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*y + 3*y + 21*y - 258*y**3.\nAnswer: -258*y**3 - 6*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 327 a factor of 348165402?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -22.21464 to the nearest integer.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 814133, 6513028, 21981459, 52104194, 101766001, 175851648, 279245903, 416833534?\n\"Answer: 814128*k**3 - k + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -22*c**5 + 72986*c**4 - 60735512*c**3 + 334750264*c**2 - 152908416*c - 548467200 = 0.\nAnswer: -1, 2, 50\/11, 1656","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from aaaaaaaaaa.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**2 - 2*u + 2. Let w(c) = c**2 - 7*c + 2. Let f be w(7). Let o(h) = 4*h - h**2 + 10 - 2 + 0*h**f. Let i be o(6). Calculate m(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1692 divided by 30.\nAnswer: -282\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -119 or 1\/3?\nAnswer: -119","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 19 divided by 280484\nAnswer: 19\/280484","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 3613 divide 315874313?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.0059 - -4.0159. Let b = z - 4. Let g = -3.01 + b. What is the nearest to 0 in g, -5\/4, -2?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 0.18, -17\/40, 4\/7, 0.03, 2\/3?\nAnswer: -17\/40","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3871 + -2524. Is -6 - -5*(n + 4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*g + 7*v + v + 98 = 12*v, -6*v + 2*v - 12 = 0 for g.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1.3 and -2486981?\nAnswer: 2486979.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 + -4892?\nAnswer: -4891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1*-0.1367649\nAnswer: 0.1367649","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 15*u**2 + 1. Let a(g) = -g + 1. Suppose -f - 3 = 3*r + 10, -3*f + 6 = 0. Let i(n) = -1. Let d(m) = r*a(m) - 5*i(m). What is d(t(o))?\nAnswer: 75*o**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.246 - 872658.619\nAnswer: -872658.373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -91 + 63596.\nAnswer: 63505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 3 = -3*a, -4*m - 5*a = -a - 24. Suppose m*r = -d + 2*r + 481, -1437 = -3*d - 5*r. Does 44 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 5*s - 2. Let b be g(1). Let o = 0.083 - -35.917. Let z = o - 35. What is the third biggest value in z, 1\/5, b?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 58 + -37. Let k = -22 - -28. Calculate the lowest common multiple of k and i.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 2.741 (b) -7 (c) 22.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 22 - (-2 - (-2 + 2)). Calculate the highest common factor of x and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5615*0.07959.\nAnswer: 446.89785","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*k**4 - k**4 - 7 - 2*k**4)*(-2*k + k - 2*k).\nAnswer: -3*k**5 + 21*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(-2\/5))\/y*y)**(-21\/8)\/(y*y**(-2\/11)*y*y*y*y*y**3\/y*y) assuming y is positive.\nAnswer: y**(-4133\/440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 250832.\nAnswer: 2, 61, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -143, -533, -1185, -2099, -3275, -4713, -6413?\n\"Answer: -131*r**2 + 3*r - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 7*n - 60. Let g = 20 - n. Suppose -4*s - s = -g*o + 325, -s = 2. Is o a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4632\/(-11194))\/(12\/(-2))\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 2 t when four letters picked without replacement from ycyyctccycyccyycytc?\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 15 - 29 = 0. Let b = 14 - x. Let d be b\/3*(-10 + -7). Is d bigger than -16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 298\/237 - -6\/79. Let f be (4\/15)\/((-8)\/(-20)). Suppose l + 10\/3*v + f*v**3 + 8\/3*v**2 = 0. What is v?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7906 a multiple of 67?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve p**2\/8 - 24463*p\/4 + 48925\/8 = 0 for p.\nAnswer: 1, 48925","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**3 + 5*x**2 + 2*x + 6. Let d be a(-4). Let o = 23 - d. Let u be (o\/6 - 2)*-6. Let g(n) = -n**2 + n + 3. What is g(u)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 2521*m - 15136. Determine p(6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2106\/729*84\/910)\/(((-144)\/10)\/4).\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 26040, 104216, 234522, 416958, 651524, 938220?\nAnswer: 1277046","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**2 + 7*b + 3. Suppose 6*s = 2*s - q + 44, 5*q = -5*s + 55. Suppose 3*f + 32 = s. What is t(f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 95040377 to the nearest integer?\nAnswer: 9749","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2 + (-6)\/(-4))*-68. Let m(x) = -2*x**2 + 4. Let o be m(-3). Let g = a + o. Solve 0*i - g = -4*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 19023860?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*h + 192 = -6*p + 19*h + 18*h, -5*p - 50 = 3*h + 101 for p.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**3 + 9*k**2. Let i be o(9). Let t be 60 + 3 + i\/3. Suppose 7 + t = 5*y. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-32)\/(-36)*195\/520.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-four fifths of a litre?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 16, 23, 32, 43, 56?\n\"Answer: d**2 + 4*d + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -555*x**2 - 690*x + 39675 + 279*x**2 + 279*x**2.\nAnswer: 3*(x - 115)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**3 + j**2 - j - 1. Let p(y) = 3*y**3 - 9*y**2 + 9*y + 26. Let s(w) = -18*c(w) - 2*p(w). Differentiate s(q) with respect to q.\nAnswer: -72*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5.7 and 0.01?\nAnswer: 0.057","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 2*y = 4*b + 92, 3*b + 87 = 3*y. Let j = b + 147. Find the common denominator of 59\/7 and j\/(-40) + 2\/(-10).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:22 AM and 8:49 PM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4766953 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence enp when three letters picked without replacement from pbnek?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**2 - i. Let y(z) = 2*z**3 - 3*z**2 - z. Give -2*t(d) + y(d).\nAnswer: 2*d**3 - d**2 + d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1302)\/(-27) - (-8)\/(-36). What is the highest common factor of 120 and i?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3, j: 4, o: 7, m: 2, k: 3}. Give prob of sequence kj.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in eleven quarters of a hour?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (9 + -8)*-11 + 3005?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes before 11:49 PM?\nAnswer: 6:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 66047?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -38, -250, -800, -1862, -3610, -6218, -9860?\n\"Answer: -29*z**3 + 5*z**2 - 24*z + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 348656?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 113.2 - 20.2. Let u = h + -99. Which is the nearest to u? (a) 5\/4 (b) 0 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13639*k*y**4 + 25*k*y**3 + 2427*k*y - 48*k + y - 2 wrt y?\nAnswer: -163668*k*y**2 + 150*k*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a + 5 - 10 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1052.41 + -18.41. Let t = 1033.99553 - z. What is t rounded to 4 decimal places?\nAnswer: -0.0045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24152570?\nAnswer: 2, 5, 13, 185789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -138*q + 82*q = -35*q + 609 for q.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 5*x = 5, -4*n - 6*x - 12 = -2*x. Let w = n - -5. Suppose 0*h - 3*p = 3*h, w = -2*h + 5*p + 21. What is the smallest value in h, -4, 0.3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -433*o - 15. Let x be d(-9). Suppose 4*w - 2*j - 3100 = 0, j = -0*w - 5*w + x. Is (10\/(-4))\/((-4)\/w) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w**2\/5 + 159*w\/5 + 66 = 0. Calculate w.\nAnswer: -2, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 6*q + 36, 87*q - 91*q - g - 24 = 0. Let a(v) = v**2 + 11 - 11 - v. Let m(z) = z**3 - 8*z**2 + 7*z. Calculate q*a(c) - m(c).\nAnswer: -c**3 + 2*c**2 - c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -r + 165, -3*u + 170 = -7*u + 2*r. Let g = -12 - u. Suppose 0 = -4*w + 76 - g. What are the prime factors of w?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -14\/51 and 145\/78.\nAnswer: 1326","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -5*d, 0 = -d + 2*d - 4*h + 15. Suppose 3*y + 0*y - 12 = 0. Suppose 4*n - 234 = 4*o - o, 0 = -y*n + d*o + 230. What is the tens digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**2 - k - 1. Let w(u) = -2*u**2 - 8*u - 2. Let f(s) = -w(s) + 6*z(s). Let m = -137 - -133. Let b(a) = 2*a**2 - a + 2. Determine m*f(p) - 9*b(p).\nAnswer: -2*p**2 + p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 432 + -235. Let g = 198 - i. Suppose -4 = j - 2*j. Sort j, g, 17 in descending order.\nAnswer: 17, j, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86*g - 47*g + 40 = 47*g. Which is the third biggest value? (a) -0.2 (b) -2\/13 (c) g (d) -2 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -60a - -2?\nAnswer: -608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3b - -66?\nAnswer: a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -3*q + 1. Let v(o) = -15*o**2 - 9*o - 3. Give v(k(x)).\nAnswer: -135*x**2 + 117*x - 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3344 + 3343.957804. What is x rounded to four dps?\nAnswer: -0.0422","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 544, 543, 540, 535, 528, 519, 508?\nAnswer: 495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (-14 - 180\/(-9)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*d = -11*d + u, 0 = 2*d - 5*u - 35. Solve q + d = -2*m - m, -q + 3*m = 5 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -3*i**2. Let o(c) = 11*c - 2. Suppose -6 = 3*f - 0. Let x(b) = 22*b - 5. Let q(v) = f*x(v) + 5*o(v). Give d(q(l)).\nAnswer: -363*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -2796016 * -0.04\nAnswer: 111840.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -11*j**2 - 273*j + 49655?\nAnswer: -22*j - 273","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 4*d - 34 = -5*x, 4*d = -4. Let o = x + 19. Suppose -4*z = -110 - o. What are the prime factors of z?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -46 - 62 - 53 - 24*t**2 + t - 2*t**4 - 42 + 183 as m*t**3 + f*t + w + h*t**4 + v*t**2 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Do -201 and -196 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -2*p**2 + p + 9. Let i be a(3). Let v be (5\/(30\/(-28)))\/(4\/i). Calculate the greatest common factor of v and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18 + -25. Let t = u - -43. Does 13 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -53 + 51. Let v be 5 - (-2 + 5) - (0 - f). Put 0.03, 3\/5, 3, v in decreasing order.\nAnswer: 3, 3\/5, 0.03, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j - 5*n + 85, j + 2*j - 283 = -n. List the prime factors of j.\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -27025 - 0?\nAnswer: -27025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13*(-16)\/((-1936)\/(-55)) + 6.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 316*s + 67141. Give v(-214).\nAnswer: -483","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 4 + 42*x - 2*x - 42*x.\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w**4 + 4*w**4 - 5*w**4)*(496 + 293 + 1405).\nAnswer: -4388*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v = 3*v. Does 1\/6 = v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -99 + 101.15. Let x = -2.15147 + n. What is x rounded to four dps?\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-563)\/(-1689) + (-4)\/(-6)*13. Solve 3*p = 5*g + n, 3*g - 18*p = -23*p - 19 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2201 - 11001?\nAnswer: -1100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 2, -7, -4, -5, 431, -3 in increasing order.\nAnswer: -7, -5, -4, -3, 2, 10, 431","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes after 11:07 AM?\nAnswer: 12:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 1 = 3*r. Let d = -26 + 27.1. Let v = d + -1.3. Which is the nearest to -0.2? (a) -1\/6 (b) r (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -3*b**2 + 181*b + 3771. What is v(68)?\nAnswer: 2207","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 103\/209245?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*t - 3*t = -27*t - 51 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(700) + -4 + sqrt(7) + 1 - ((sqrt(84) - 3*sqrt(84))\/sqrt(12) - (2 + sqrt(252))**2).\nAnswer: 67*sqrt(7) + 253","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 508*a*q - a + 48*q**3 + 132067 with respect to q.\nAnswer: 508*a + 144*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 + 0. Let p = x - 1.8. Let i = 0 + p. Which is bigger: -1 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + w**2 - 3 + (1 - w**2 - w**2 + 4*w**2)*(-16 + 13 + 11))*(w**2 - 4 + 4)*(-27 - 32 + 52).\nAnswer: -119*w**4 - 56*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 31222.196 + -0.04812\nAnswer: 31222.14788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 144 and 192.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 138? (a) 76 (b) -1\/3 (c) -41\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-46)\/135*-3 - 6\/27?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1176717664?\nAnswer: 2, 36772427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -16*z**2 - 5584*z - 5548. Let g(v) = -2*v**2 - 6*v - 2. Let p(i) = c(i) - 10*g(i). Factor p(m).\nAnswer: 4*(m - 1382)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10111010010100111 (base 2) in base 13?\nAnswer: -34565","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**0*c**(-2\/11))\/(c**(-1\/4))**(-1\/3)*(c**(5\/2)\/((c**(-2)*c)\/c))**(-3\/19) assuming c is positive.\nAnswer: c**(61\/2508)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(-3)*(19 - 22). Suppose -4*m - 5*k + 20 = -9*m, 3*m + 14 = k. Put c, -3, m in increasing order.\nAnswer: m, -3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 68 + -5 + (168\/(-21))\/((-1)\/(-2)).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**2 + 4*s + 2. Let o be g(-4). Let d be 4\/10*40*(-7)\/(-28). Which is the nearest to o? (a) d (b) -2 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-880)\/(-484) + 6\/33. Solve 2*j - j - 3*i - 2 = 0, -h*j + 2*i = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*h**2*o*z**2 - h**2*o*z + h**2*z - 42*h*o*z**2 - 2*o*z**2 - 5*o*z - 10*o wrt z.\nAnswer: 4*h**2*o - 84*h*o - 4*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + -1164390621038?\nAnswer: -1164390621046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qnnhhxnnnfhhfx. What is prob of sequence hhx?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 121848.6 litres in millilitres?\nAnswer: 121848600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -0.4, 0.05, 0, 71645, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100100 + 100001?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = 2601*c - 2602*c + 2*m, -10 = -10*c - 6*m for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1.68 * -42\nAnswer: -70.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u = 4*z - 72, 0 = -382*u + 379*u + 3*z - 33 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 10 (b) 2\/13 (c) 1 (d) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0\/(-1) - (-4 + -2). Solve 15 = f*y - 11*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1494 and 136618?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 - -37. Let t be 3 + (-1 + y)\/3. Calculate the highest common factor of 42 and t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/6*306\/2550?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1010 divided by -116?\nAnswer: -505\/58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/(-9) + (-512)\/(-624). Sort j, -0.04, -1, 0.4, 129 in descending order.\nAnswer: 129, 0.4, j, -0.04, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -89, 0, 4 in increasing order.\nAnswer: -89, -1, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-1)\/3)\/(4\/(-60)). Let d(n) be the first derivative of 3*n**2\/2 - 4*n - 2. Give d(w).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 203180?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/((-12*(-6)\/9)\/2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -23634 by -78.\nAnswer: 303","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-70)\/(-504))\/((6\/(-52))\/(8928\/9672))\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 32311 divided by 10?\nAnswer: 32311\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 7.14, -0.1, -4, 5, -3\/16, -13\/3?\nAnswer: 7.14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 3\/4 (b) -2\/7 (c) 4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**2 + 12*w + 77. What is a(17)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 100003 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**3 - 26*k**2 - 26*k - 18. Let m be q(27). Suppose 166 + 23 = m*r. What is the highest common factor of 35 and r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -255, -257, -259, -261?\nAnswer: -263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -5\/8, -3, -1244, 74 in descending order.\nAnswer: 74, -5\/8, -3, -1244","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y. Let s = 40 - 38. Let r(q) = -9*q + s*q**2 + 16*q - q - 4*q**2. Determine r(a) - 5*v(a).\nAnswer: -2*a**2 + a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 163791 to the power of 1\/2, to the nearest integer?\nAnswer: 405","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (19 - 6 - 8).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**3 + 41*x**2 + 46*x + 77. Calculate q(-40).\nAnswer: -163","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 24.4 and -20266.67?\nAnswer: 20291.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/12 or -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 53 by -309.\nAnswer: -53\/309","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.4 and -0.84896?\nAnswer: 0.44896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**3 - 7*y**2 - 18*y + 8. What is the lowest common multiple of k(9) and 3?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.812142 centuries to millennia.\nAnswer: 0.3812142","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6522918 divided by -6.\nAnswer: 1087153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:38 PM and 5:48 PM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 9454287221 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.037, 4, -0.5?\nAnswer: 0.037","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -j + 4*b + 8, 3*j - 25 = -2*b. What is the second derivative of 13*n - 7 + 7 + 0 - j*n**2 wrt n?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 2847?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 12224451 + 14?\nAnswer: 12224505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 52, 90, 130, 172, 216, 262?\nAnswer: 310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, q: 3, t: 5}. Give prob of picking 4 t.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*b**2 + 17*b**2 - 3 - 6*b**3 - 11*b**2 in the form z*b + t*b**3 + v + w*b**2 and give t.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**8\/(((u*u\/(u*u**(-1\/3)))\/u*u)\/u)*(u**(-2)*u)**(-1\/24) assuming u is positive.\nAnswer: u**(185\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 204 and -0.263?\nAnswer: -53.652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/27 and -41\/6030.\nAnswer: 18090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 322764830?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 121, 131, 149, 175?\n\"Answer: 4*j**2 - 2*j + 119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2797 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6510 and 13950?\nAnswer: 930","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 6*n**2 - n - 3. Let j be t(-3). What is the remainder when (j\/3)\/(3\/6) is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.5 in 14, 0.4, -1\/3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x - 4*z = 6*x + 298, -2*z - 10 = 0. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**2 + 134014*k + 4489938049.\nAnswer: (k + 67007)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 519\/8 + -393\/8. Find the common denominator of j and -50\/83.\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 55*s - 133. What is the remainder when q(4) is divided by 31?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*c**3 - 27039 - 25*c**3 + 27037.\nAnswer: -16*c**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 + -6.9952. What is x rounded to three decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1747.\nAnswer: 1747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 74b27 (base 13) to base 5\nAnswer: 23214412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-89 - (3 - 1)) + (386 - (371 + 30))\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 2*z**2 - 5*z + 2. Let u(i) = i + 6. Let c be u(0). Let r(h) = -11*h + 8 + c*h**2 - 3*h - 2. Determine 11*m(f) - 4*r(f).\nAnswer: -2*f**2 + f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -80 + 79.9. Which is the second smallest value? (a) -8 (b) v (c) -0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dctag. What is prob of picking 1 c and 1 a?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(1\/3))**(1\/8))**(22\/7) assuming f is positive.\nAnswer: f**(11\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*b - b = -45. Suppose -b*c + f + 127 = 39, 26 = c - f. Solve 7 = -4*k + 3*m, 3*k + 3*m + c = 10 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 865.2504 litres to millilitres.\nAnswer: 865250.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:09 PM and 8:15 PM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (5126\/(-6) - -1)*-90. Let u = 216794 - o. Suppose -4*m + 3*s = -8*m - u, 10 = 5*s. Round m to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 2*w**2. Suppose 0 = -53*l + 52*l + 4. Let g(b) be the second derivative of 0*b**2 - 1\/6*b**l + 0*b**3 + 0 - b. Give g(c(s)).\nAnswer: -8*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -2*f + 4*d - 482, -4*f - 5*d - 2033 = 0. Let w = f - -621. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 421.8905 meters in nanometers?\nAnswer: 421890500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 178 = 89*j + 72*j + 1466 for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1\/185 - -3148\/555. What is the common denominator of 39\/2 and c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15606151858 plus -18?\nAnswer: 15606151840","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 603, 1301, 1999?\n\"Answer: 698*k - 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -3*x**2 + 148*x. Let n(b) = 2*b**2 - 99*b. Give 7*n(m) + 5*y(m).\nAnswer: -m**2 + 47*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 85 divided by -3886521?\nAnswer: -85\/3886521","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 79 - 47. Let q = -3\/38 - -823\/76. Calculate the common denominator of q and -1 - (28\/o + 3).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w\/(w**2\/w*w))\/w)**14)**(2\/31))**(5\/9) assuming w is positive.\nAnswer: w**(-280\/279)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -2*f - 3*f + 2 + f. Let u(a) = -9*a + 3. Let l be 24\/((-20)\/(-5)) - 2. Let c(t) = l*u(t) - 7*i(t). What is the first derivative of c(d) wrt d?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -5*g - 1. Let y(r) = 8*r + 1. Let n(x) = 5*k(x) + 3*y(x). Suppose -9 = -3*q + p, 5*p - 12 = p. Let j be 3 - (-1 - -2*q). Determine n(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -12*y - 47. Let r be d(-6). Let b = 55 - r. What is the highest common divisor of b and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*v + 9, 5*x = 2*x + v + 6 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 3*i**3 + i - 11. Let k be l(3). Let f(u) = -142*u - u**2 + 83*u + k*u. Let h(b) = -2*b**2. Give h(f(o)).\nAnswer: -2*o**4 + 56*o**3 - 392*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 280 and 168140.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (-13 - -3 - -6) + 1 - 3.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 80622?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 7148107 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -93*m. Let t(z) = 536*z + 53. Determine t(q(p)).\nAnswer: -49848*p + 53","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (565 + 5)*(0 - (-16)\/10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 677 + -677.4. Sort -2\/3, -0.05, -1.4, b in decreasing order.\nAnswer: -0.05, b, -2\/3, -1.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -44540 < -45320?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*p**2*s + 387*p**2 - 108*p*s + p - 1265975*s - 2 wrt p?\nAnswer: 4*p*s + 774*p - 108*s + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**3 + y + 4. Let w be c(0). Suppose -n + 0*n - 3*i = -11, -4*i = w*n - 4. What is the units digit of (-6)\/n*2 + 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 3690, 3697, 3708, 3723?\n\"Answer: 2*b**2 + b + 3687","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(1216) + -2)*-4)**2 + 0 - (5 + 4*(-5*sqrt(304) + sqrt(931) + 1))**2.\nAnswer: -600*sqrt(19) + 7103","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22516 is divided by 2251?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9956, 19914, 29860, 39788, 49692, 59566, 69404, 79200?\nAnswer: 88948","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:48 PM and 9:51 AM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 147.1 in -152, 0.01, -0.3, 9, -1\/3?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + 5 = 4*r, 4*r = -j + 5*j + 20 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2\/737, -0.1 in descending order.\nAnswer: 5, 2\/737, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -3403 * -0.0210365\nAnswer: 71.5872095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes after 6:24 PM?\nAnswer: 8:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60*l + 74*l + 4147729*l**2 - 4147729*l**2 - 20*l**3.\nAnswer: -20*l**3 + 14*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*h**2 + 85*h - 332 wrt h.\nAnswer: -4*h + 85","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 110206 = 4*g + 32426, 194486 = 5*m + g. What is the tens digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 259\/(-7) + (-16290)\/(-450)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(7\/3)*g**(2\/7)\/g)\/(g**(-3\/2)\/(g**(1\/4)*g)) assuming g is positive.\nAnswer: g**(451\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*s + 1575 = 18*s. Let m = s + 545. What are the prime factors of m?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1982.803 decades to years.\nAnswer: 19828.03","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 614, 609, 614, 635, 678?\nAnswer: 749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 142\/1704*(-224)\/12\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.6 + -1.4. What is the biggest value in q, 1, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (0 - 0) + (-74)\/60 and (-20)\/(-460) - (-56301)\/4830.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, m: 1, v: 1, r: 3, o: 1, g: 5}. Give prob of sequence rr.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (2\/12)\/((-123)\/(-5904))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m + 110*j - 107*j + 1266, -4*m + j + 1270 = 0. Calculate the remainder when m is divided by 103.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -48 + 50.99. Let z = j - 2.69. Which is the nearest to 1? (a) z (b) -3 (c) -33\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1305196561 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**3 + l + 1. Let p(b) = 14*b**3 + 12*b**2 - 10*b - 10. Give -10*c(w) - p(w).\nAnswer: -4*w**3 - 12*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5.89776 - -5.9. What is i rounded to four dps?\nAnswer: 0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 65659700 rounded to the nearest 100000?\nAnswer: 65700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5\/106 - -293\/530. Let k = 3\/22 - 2\/55. Which is the smallest value? (a) 1 (b) k (c) 2.8 (d) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 35 or -0.3?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -150 - -103. Let k = -42 - g. Suppose -k*v + 485 = -850. What are the prime factors of v?\nAnswer: 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48*m + 78*m - 3*m - 6*m - 8*m - 11*m.\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 30*f**3 + 17*f**2 + 10*f - 43. Calculate d(-2).\nAnswer: -235","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -26 - -28. Let c(r) = 5*r**n - 3*r**2 - 4*r**2 + 0*r**2. Let w(i) = -11*i**2. What is c(w(o))?\nAnswer: -242*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/((-414)\/23))\/((-2)\/8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11829588 to the nearest integer?\nAnswer: 228","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 6*b**3 + b**2 - b + 1. Let f be 2\/6*-263 + (-10)\/30. Let u be ((-4)\/(-3))\/(f\/(-66)). What is j(u)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -9477170*w - 5964 = -9477454*w for w.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0086 less than -3380.5164?\nAnswer: -3380.525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 40 + -43. Put b, 20, 2\/11 in decreasing order.\nAnswer: 20, 2\/11, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -869946 divided by 66.\nAnswer: -13181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a kilometer in meters?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5858 is divided by 2754.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1795 - -3642. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 45 and 3765?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 83160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2*2*(-280)\/32. Let y be (-26)\/143 - a\/11. Suppose -287 = -y*f - 5*w, 3*f - 239 = -4*w + 44. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 116820792 to the nearest integer?\nAnswer: 489","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*c*c*c**(-12)*c*((c\/(c*(c*c**10)\/c))\/c)\/c*(c**(1\/2))**30 assuming c is positive.\nAnswer: c**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1025?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 2*d**3\/13 + 14*d**2\/13 + 20*d\/13 = 0.\nAnswer: -5, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 take away 0.016368566?\nAnswer: 4.983631434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 11) in base 7?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.31 or -165697?\nAnswer: -165697","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -14*v**3 - 527*v + 1052. What is y(2)?\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((2*sqrt(55))\/sqrt(5) - (sqrt(22)\/(sqrt(4)\/sqrt(2)))**2).\nAnswer: -55 + 10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 129776 is divided by 84?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -29 by 1601914.\nAnswer: -29\/1601914","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 113 + -108. Suppose -k + t*a = -123, 27*a + 246 = 2*k + 22*a. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-2\/29)*u)\/u*u*u*u**(-1) assuming u is positive.\nAnswer: u**(27\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 114635519 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 138*h**4 - 281*h**3 - 2*h**2 + 37782?\nAnswer: 3312*h - 1686","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 1 = -116\/1413?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - v = -5131, 3*v - 1765 - 1316 = -3*l. What are the prime factors of l?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1296 divided by 216\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m + m + 4. Let y = m + 29. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31134420 (base 5) to base 14.\nAnswer: -6921c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 335 and 721054?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9273\/4 + -2299. What is the common denominator of -49\/12 and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f - 1. Let h(i) = 4*i - 3. Let u(j) = h(j) - 3*l(j). Let d(o) be the third derivative of -o**4\/6 - o**2. Give u(d(v)).\nAnswer: -4*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 164354817 and 2115?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.06 - -6.7659\nAnswer: 6.7059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 17\/2 of a centimeter?\nAnswer: 85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -3*q - 24655 + 24655. Let t(x) = 12*x. What is t(y(u))?\nAnswer: -36*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -6*q - 399. Let o be q\/(-18) - 2\/(-9). Solve 3*z = -6, 5*z + 34 = o*j + 8 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q\/q**(-1\/3)*q**(2\/7))\/((q\/q**(-1))\/(q**(-6)\/q)) assuming q is positive.\nAnswer: q**(-134\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11 - -13. Let c(t) = -w*t - t - 5*t. What is c(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11329 take away -16622.3?\nAnswer: 27951.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**7\/y)\/((y\/(y\/((y\/(y**(-3\/7)\/y))\/y)))\/y))\/(((y*y**(-1\/4))\/y)\/(y*y**(-2\/9)*y)))\/((y**2)**(1\/31)*y*y**(1\/4)*y**(-9)*y) assuming y is positive.\nAnswer: y**(27898\/1953)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7116 + -7186. Is s at most -84?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.1, 1\/4, -729?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 68568 and 52.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1604*u**3 + u**2*x**2 + 7*u*x - 2*u - 339049*x**2 wrt u?\nAnswer: 4812*u**2 + 2*u*x**2 + 7*x - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*d + 13*d - u + 3*u - 781 = 24*d, 5*d + 3*u = -202 for d.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*d + 4*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s when three letters picked without replacement from {m: 1, h: 1, f: 3, s: 7}.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*k**5 + 3428115*k**4 - 839*k + 19912.\nAnswer: -60*k**3 + 41137380*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 4 - 4 + y**3 + 5*y**2 - 5. Let s = -21 - -17. Determine t(s).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((7 - 48) + 9 - 9) + -17?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11738?\nAnswer: 2, 5869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 31421 (base 7) to base 15\nAnswer: 2472","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*i + 7220 = -12156. What is the highest common factor of 24 and i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/(-12) - (-200)\/(-15). Let k(t) = -5*t - 29. Does 6 divide k(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 0*x + 48 = 3*t, 3*x = -3*t + 24. Solve 129 = -t*q + 118 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -485 - -453 - (-37 - 1)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the first derivative of 13*t**3 + t - 1. Let r be b(1). Let u be (4\/r)\/(2\/(-4)). Is 1 at least u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4.7 + -5. Let s = -250 + 247. What is the third biggest value in s, 0.11, v?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xv when two letters picked without replacement from {x: 3, v: 3, c: 1}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-214*j - 945*j - 178*j - 378*j)*(1 - 1 - 3*j) + (-5*j + 2*j + j)*(0 + 0 - j) to r + p*j + d*j**2 and give d.\nAnswer: 5147","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 110 by -22.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 3*v - a = -1204, 4*v - 2420 = 4*a. Calculate the greatest common factor of v and 135.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + 3*m + 27, 3*s + 1 = -5*m + m. Suppose -3*k - b + 9 = 0, s*k + 3*b - 17 = -6. Suppose -y + 8 = y. Solve 0 - k = y*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**3 - 2*n**2 - 4*n. Let l be y(-3). Calculate the common denominator of 47\/4 and (-2 - l)\/(-3 - 4).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 2*i - 5. Let p be (-1)\/8 - 13\/(312\/189). Let u(k) = 5*k - 14. What is p*b(j) + 3*u(j)?\nAnswer: -j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 523, 1044, 1565, 2086, 2607, 3128?\n\"Answer: 521*o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 3*f - 19. Let l be u(11). Suppose -7*z + l = -6*z. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11 and 28.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 28 = k. Calculate the greatest common factor of k and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 158686 and 230816.\nAnswer: 2538976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6cc - b?\nAnswer: 6c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u + 5*u - 24. Let p = 17 - u. Suppose -5*s - 200 = -p*w, 0 = 2*w - 3*s - s - 82. Is 16 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 70 and 14?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -0.1, -0.5, -6, -3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 94468860 and 135?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9638 is divided by 4819?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -471135 divided by 4487.\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -672 or -673?\nAnswer: -672","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 3*l = -0*q - 23, -3*l = -3. Let f be (q + 3)\/(2\/(-8)). Suppose 3*a = f*d + 149, 3*d + 8 = -7. What is the tens digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1439 - -1513. What is the highest common divisor of f and 2146?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(-2 - -4) - 2. Suppose l + 3*l - 220 = u. Suppose -2*n + 25 = -l. Is 17 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 232103191 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.1 (b) -176 (c) 54\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-10)\/z**18)\/(z\/(z\/(((z**(-2\/17)*z)\/z)\/z))*z*z**(-1)) assuming z is positive.\nAnswer: z**(-457\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the first derivative of -2 + 3 + c**2 + 2. Let p(w) be the first derivative of -3*w**2\/2 + 2. Determine p(z(b)).\nAnswer: -6*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 66 - 46. Let h = -34 + n. Let t = 14.07 + h. Round t to two decimal places.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 264643315?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2839, 2834, 2829, 2824?\n\"Answer: -5*m + 2844","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 69 + -63. Suppose c - 5 = 0, -y + 24 = 3*c + 5. Let r = o + y. Calculate the remainder when 19 is divided by r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 451 is divided by 161?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**2 - 24*o + 65. Let x be u(25). Suppose 0 = 5*n + 4*i - x - 15, 4*n - 3*i - 53 = 0. What is the remainder when 47 is divided by n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -543 + 1?\nAnswer: -542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -t*w + t - 1385*w**2 - 2*w + 1817 wrt w.\nAnswer: -t - 2770*w - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 55*j - 63. Does 51 divide w(31)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 99075624 to the power of 1\/7, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the second derivative of x**5\/10 - 7*x**4\/6 - 19*x**3\/6 + 13*x**2 + 8*x. Let p be s(8). Solve -17 = -5*r + 2*g, -g = -2*r + p + 5 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 2*q**3 - 3*q**2. Let s = 10 - 11. Let n be 3 + s\/(2\/8). Let m = 376 + -379. Let t(p) = p**2. Determine m*t(c) + n*v(c).\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(98) + 4 + -3*sqrt(98) + sqrt(98) - (sqrt(98) + sqrt(98) + -1 + 5))**2 + (4 + -1 + 4*(1 + sqrt(98)))**2)*3.\nAnswer: 1176*sqrt(2) + 7497","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6897 = -183*a + 15063. Does 30 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.47 - 0.03. Let q = -0.04 - -4.04. Put v, -0.2, q in increasing order.\nAnswer: v, -0.2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*(20774\/39)\/(-94)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*(f*f**(-1\/13)\/f*f)\/f*f)\/(f\/((f*f**(-3)\/f)\/f))*f**(-1)\/((f**(9\/4)\/f*f)\/f) assuming f is positive.\nAnswer: f**(-277\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -1*sqrt(44)\/sqrt(4) + -3.\nAnswer: -5 - sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 947 divided by -307.\nAnswer: -947\/307","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 570941 to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -311*i + 1. Let t be y(1). Calculate the common denominator of t\/4*(-12)\/(-100) and ((-483)\/84)\/((-2)\/(-1 - 1)).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*k**2 + 114847644*k + 65627232 = 0 for k.\nAnswer: -4\/7, 5468936","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*z = -11*z - 4. Let l = 13 + -5. Suppose -s = -l + 3. Which is the nearest to 2? (a) z (b) s (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 8259.61l?\nAnswer: 8259610","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.639837 months in decades?\nAnswer: 0.080331975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 632284, 632302, 632318, 632332, 632344, 632354, 632362?\nAnswer: 632368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1563 + -1540. Calculate the remainder when 848 is divided by s.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + 1 - (17 - 1 - (-134 - -77)).\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (6 - (6 + (0 - 10))) + 0\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(63)*-1*3)\/sqrt(9) + 3.\nAnswer: -3*sqrt(7) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 - 2 - (-4 - -1 - -3). Let z = 3 - 1. Solve q + 4*q + 3*a + 10 = u, 0 = z*a for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 197858360 divided by 13636.\nAnswer: 14510","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 69909039139 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 24057693 and 0.1?\nAnswer: 2405769.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -4*x - 16, 6 = 5*w - 4*x - 26. Suppose 20 = -w*v - 132. Let q = v + 53. Is 5 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**2 - 11*g + 12. Suppose 16*l - 66*l = 600. Determine u(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**3 + 7*p**2 + 2*p - 5. Let z be h(7). Let l(g) = -5. Let o(s) = s - 21. Let r(d) = z*l(d) - 2*o(d). Differentiate r(x) wrt x.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106 = 12*n - 4*n - 2 for n.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 1. Let x(s) = -14 + 0 + 3 + 7 + 4*s. Calculate -6*w(o) - x(o).\nAnswer: -4*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 15867, 16834, 17801, 18768?\n\"Answer: 967*o + 14900","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -3*h - 32. Let s be w(-14). Let p be 6\/(0 - (-15)\/s). Suppose 0 = -y - p*z + 5, 12 = -2*y + 7*z - 4*z. Put -63, 1, y in increasing order.\nAnswer: -63, y, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -7*c + 458. Calculate m(-9).\nAnswer: 521","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 9898?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1020211 - 102102?\nAnswer: 211102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 184556992.2 to the nearest 100000.\nAnswer: 184600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 2*d**3 - 49*d**2 - 24*d + 164. Let m be u(25). Calculate the highest common divisor of 14 and m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-2*u - 2*u + 5*u)*(-5*u + 5*u - 6*u**2) - 3*u**3 + 8 - 8)*(-2*u + 4*u - u) to the form g + l*u**2 + j*u + t*u**3 + v*u**4 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8*o + 2 - 2)*(0 - 1 + 0)*(2 - 1 - 2)*(-o - 8 + 8) to the form w + b*o**2 + s*o and give b.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -2 - l - 12*l**2 + 11*l**2 - 2*l - l**3 - 1. Suppose 10*s = -0*s - 20. What is c(s)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -33349249 divided by 8\nAnswer: -33349249\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j - 11 = -41. Suppose 2*w + 3*i = 33, -j*w - i = -3 - 60. Calculate the highest common factor of w and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1222423 (base 5) to base 8\nAnswer: -55700","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in t - 386487 - 386455 + 772953.\nAnswer: t + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 + 59330?\nAnswer: 59329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -133502*f**2 - 11*f - 12. Let n be d(-4). What is n rounded to the nearest one hundred thousand?\nAnswer: -2100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 7 (b) 3 (c) 1\/12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9065891 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 66449287 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(57)\/(sqrt(15)\/sqrt(5)) + -1)**2.\nAnswer: -2*sqrt(19) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 4*u - 42. Let x be s(12). Let p = -40 + 58. What is the greatest common divisor of x and p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the first derivative of -f**7\/420 - f**6\/90 + f**3\/3 + 3. Let y(z) be the third derivative of u(z). Find the third derivative of y(n) wrt n.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 + 1. Suppose -u + 5*u = v. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 5 (b) -16 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13.7 - 2.7. Let m = r + -11.1. Let h be (-2)\/(-4) - (-1 - -1). Sort h, 0, m in ascending order.\nAnswer: m, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 5*a**2 - 3*a + 3. Let k be c(1). Solve -k = j - 2*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -965 greater than -18328\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -1135 (b) -8 (c) -116 (d) 2\/3 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 9 - (3 + -1 + -4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 647643600 a multiple of 1944?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 2682890.5 to the nearest 10000.\nAnswer: 2680000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*l**4 + l**4 + 2*l**4 - l**3 + l**3 - 2*l**4 + (-l + 2 - 2)*(l**3 - 4*l**3 + 2*l**3) + 2*l**4 - 2 + 2.\nAnswer: 4*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the second derivative of -5*h**4\/24 + 187*h**2\/2 - 123*h. Let s(k) be the first derivative of c(k). Let f(x) = 8*x**2. Give f(s(i)).\nAnswer: 200*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"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 f = -0.24245 + 0.55772. Let h = f - 0.3349. Let p = h - -0.02. What is p rounded to 4 dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 12 (b) -3\/2 (c) -2 (d) -3\/71 (e) 2 (f) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 563 is divided by 73?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*k**2 - 6*k + 5*k**3 - 9*k**3 - 5*k**3 + k**3 = 0.\nAnswer: 0, 1\/4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x - 6*x + 5*x = -3*k - 87, -67*k + 71*k + 100 = 4*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 228 - -53243?\nAnswer: 5346b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 2*r + 8*r - 5*r**2 - 6*r - r + 2*r - 5*r**3 to k + h*r**2 + t*r + o*r**3 and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3*(-10)\/(-15) + -2. Let u be (-1)\/2*(0 - d). Suppose -3*h - h - q - 8 = u, 0 = q. What is the fourth biggest value in -6, h, -5, 0.1?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = k - 61 + 201, -3*f = -3*k + 219. Let b = f - -67. Calculate the common denominator of (-6)\/b + ((-1365)\/112)\/3 and 5\/18.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:30 AM and 3:49 AM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 25 and 1150.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2152875520, -2152875519, -2152875518, -2152875517?\n\"Answer: m - 2152875521","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uaeaqeurgqqu. Give prob of sequence auau.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, 0.1, 304.\nAnswer: -18, 0.1, 304","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3383*a**3 - 2 - 8753*a**3 + 0 + 207*a**3.\nAnswer: -11929*a**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ij when two letters picked without replacement from {r: 2, i: 1, j: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -829, -600, -36.\nAnswer: -829, -600, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b + 3*x - 0*x + 164, 3*b - 3*x - 126 = 0. Calculate the remainder when b is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 2 d when four letters picked without replacement from {x: 3, d: 12}.\nAnswer: 66\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -7*w - 5. Let r be p(-3). Suppose 0 = -x - 3*x + r. Is 96\/18*6\/x a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 5 = 0, 289 = -4*q - 5*d + 106. Let g = 2 - 3. Is 14 a factor of (q - (g + 4))\/(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(-1\/17))**(-8\/9) assuming u is positive.\nAnswer: u**(-128\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -6534.4 times -3.68\nAnswer: 24046.592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 20954747\/7 - 3020839. Let m = -27258 - d. Let q = m - 46. What is the nearest to q in -1, -5, 1\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k + 3. Suppose -3*o + 3*r = 0, 2*o - r - 2*r = 0. Let n be q(o). Suppose 2*b - n*b = -39. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.03685 and 2.\nAnswer: 0.0737","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -4*u**2 + 63*u + 10. Let y = -87 - -196. Calculate the remainder when y is divided by q(15).\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, t: 1}. What is prob of picking 1 a and 1 t?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2127 is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 29 - 64 - m + 35. Let l(i) = 6 - 1 - 4. Let g(t) = 11*t - 5. Let z(j) = g(j) + 5*l(j). Determine c(z(a)).\nAnswer: -11*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 158871471751 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = -2*l + 10. Suppose 3*s + f = 5*s + 5, -l*s - 3*f + 4 = 0. Let u(p) = 62*p**2 - 3*p - 1. What is the remainder when u(s) is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7 - 19 + 3)*(-6831*t**2 + 2 - 6736*t**2 + 13046*t**2) to the form s*t**2 + r + f*t and give r.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -26032917 - -59532917. Suppose 0*w + m = 5*w. Round w to the nearest one million.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 a factor of 4524?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(4)\/sqrt(2) - (sqrt(2) + (sqrt(2) - (sqrt(288) + -1))).\nAnswer: 3 + 11*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -679, -2776, -6287, -11218, -17575, -25364, -34591?\nAnswer: -45262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11519 is divided by 545?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 21 + 10. Let w = -26 + f. Let k = -398\/9 - -44. Which is the second biggest value? (a) -1 (b) w (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 8) to base 16.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9568?\nAnswer: 2, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-27)*(-12)\/(-8))\/((-111)\/148).\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-56 - -46) + (-3 - 5) + 18 + -3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -44558, -89076, -133594, -178112?\n\"Answer: -44518*k - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + 0. Find the second derivative of 3*y + y**2 + z*y**2 - y**2 wrt y.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75716 divided by 1?\nAnswer: 75716","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2018?\nAnswer: 2, 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -32*x**2 - 4*x + 5. What is c(1)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 128447 (base 9) in base 6?\nAnswer: 1402454","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*(r\/(r\/(r**(-19)*r)))\/r*r*r**(-22)*r)\/((r\/((r\/(r\/(r\/r**(-3))))\/r)*r)\/r**(-13)) assuming r is positive.\nAnswer: r**(-50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddn when three letters picked without replacement from lbbdpllddnu.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**3 + 2*i + 1. Let l be a(-2). Suppose -5*f - 3*s + l*s = -10, 3*f + 8 = 4*s. Solve 2*x - 1 = -u, f*u - 27 = -x - 9 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1435)\/40 - 1330\/(-38)?\nAnswer: -7\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 72836 - 50476. Is g a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 90 = 2*h. List 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 the closest to 1\/4 in 2\/5, -0.06, -44, -3\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 233, 891, 2679, 6161, 11901?\n\"Answer: 94*f**3 + f**2 - 3*f + 141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes before 4:25 PM?\nAnswer: 1:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 62251229*p**6 - 29922648*p**2 wrt p?\nAnswer: 7470147480*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*x**2 + 4*x**2 + 11*x**2 - 4*x**2.\nAnswer: 29*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 - -22) + -10 + 6 + -13?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1564041596?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 - 2 + 7)*(33*i + 163*i + 52*i)*(-2*i + 3*i + i) + (1 + 1 - 1)*(i**2 + 0*i**2 + 0*i**2).\nAnswer: -1487*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b + 7. Let c be k(-4). Let u(t) = 16*t**2 + 4*t - 3. Let v be u(c). Let a = 232 - v. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -18 + 15 + (-9 - -2).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 360 and 1320?\nAnswer: 3960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2888?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -520, -847, -1236, -1681, -2176, -2715, -3292, -3901?\nAnswer: -4536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 74, 128, 156, 146, 86, -36, -232?\n\"Answer: -2*o**3 - o**2 + 71*o + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nprnnpnrknkprpn. Give prob of sequence kppk.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4373517 to the power of 1\/3, to the nearest integer?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3989278?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*y - 31 + 19 + 12 + 40*y.\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 1885.7 to the nearest 10.\nAnswer: 1890","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 smaller than -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 + 8. What is the smallest common multiple of 2 and f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -4*z - 2. Suppose 88*u + 201 = 21*u. Let y(s) = -4*s - 2. Calculate u*y(b) + 2*d(b).\nAnswer: 4*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 850.\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 17419.55 * -1\nAnswer: -17419.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 21.31511 kilometers in nanometers?\nAnswer: 21315110000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1912461920 and 5920?\nAnswer: 5920","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 536274.\nAnswer: 2, 3, 9931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -403 + 64. Let z = -15 - q. What are the prime factors of z?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*r - 2 = -14*r + 3*u, 2*u = 2*r + 12 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2163.3 rounded to the nearest 10?\nAnswer: -2160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -13*b - 17. Let p(v) = -4*v - 6. Let u(l) = 7*l + 11. Let x(q) = 7*p(q) + 3*u(q). What is 6*g(o) - 11*x(o)?\nAnswer: -o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - i = w + 20, 0 = 3*w + i + 30. Let g(l) = 29*l - 1. Let b(v) = -23*v + 2. Let z(s) = 5*b(s) + 4*g(s). Calculate z(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77*k = -82*k + 20. Suppose -45*m + k = -44*m. Suppose 2*u = -5*t + 200, 5*t - m*u = -0*u + 170. What is the remainder when t is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 13633167276619 and -0.5.\nAnswer: 13633167276618.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 93 - 105. Let b be (-1005)\/f + (-6)\/(-24). Calculate the highest common divisor of b and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 - -7. Let w = 6 - -6. Let p = 11 - w. Are p and m non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-174 - -148934)\/(-3 - (-148)\/50). Round v to the nearest 1000000.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 876?\nAnswer: 2, 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-3)*(p*p*p*p*p*p*p*p**(-1\/3))\/p*p)**(-2\/119)\/(p\/(p*p**(1\/9)*p)*p\/((((p*p**(2\/11))\/p*p)\/p)\/p*p*p)*p**(-5)\/(p*p\/(p\/p**6))) assuming p is positive.\nAnswer: p**(155878\/11781)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w - 1. Let y be v(-1). Suppose 8 = 2*r - y. Let g(o) = o**3 - 4*o**2 + o - 1. Calculate the remainder when 8 is divided by g(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2a5170 - -5?\nAnswer: 2a5175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r = -4*r - 8*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 206*h**3 - 4*h - 30.\nAnswer: 1236*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 53067907?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 202 is divided by 182.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifteenth of a hour in minutes?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes before 2:40 AM?\nAnswer: 9:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12*v**2 + 43*v - 61*v + 8*v + (0 + 4 - 3)*(2*v**2 + 1 - 1).\nAnswer: -10*v**2 - 10*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 82968*o**4 - 19408.\nAnswer: 331872*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**2. Let k(f) = -8*f**2 - 17*f - 17. Let a(i) = k(i) + 6*u(i). Let x be a(-5). What is the greatest common factor of 102 and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 8 = -4*r, 0*r - 5 = -2*y + r. Let a(p) = -18*p - 5*p + 9*p - y + 0. List the prime factors of a(-4).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3193625*v**2 - 3193625*v**2 - 1031*v + 1543*v**3 wrt v?\nAnswer: 9258*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/3 + (-32)\/(-114). Let f = u - -65\/513. What is the fourth smallest value in 0, f, 4, 2\/9?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 517967?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.24 - -3.44. Let o = d + 1.8. Which is the closest to 1? (a) -2\/3 (b) o (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8 - u**4 - 7 - 2*u + 3*u**3 + 0 + 4 to o + l*u**4 + d*u + x*u**3 + y*u**2 and give o.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1128720 by 5.\nAnswer: -225744","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2090 + 128*j + 131*j - 390*j + 130*j to f + d*j and give f.\nAnswer: 2090","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x - 2*x + 48. Let n be (-126)\/(-10) + (-15)\/25. Calculate the highest common divisor of n and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 351 at least 350?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1081793 to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**2 + p + 8. Determine b(-6).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2086546?\nAnswer: 2, 7, 11, 17, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 135*u**3 + 4*u + 50*u**3 - 2*u + 16*u**2 - 18*u**2 wrt u?\nAnswer: 1110","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 2, -21, 21, 3, 4 in decreasing order.\nAnswer: 21, 6, 4, 3, 2, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 505*v - 302. List the prime factors of m(9).\nAnswer: 4243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00044 to 3 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 508684\/218007 + -1\/218007. Factor -y + 4\/3*w**2 + 9*w.\nAnswer: (w + 7)*(4*w - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 307 - 124. Is 3 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.19 + -0.2. Let n be (176\/154)\/((-4)\/14). Which is the closest to 0.1? (a) -5 (b) n (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 214 - 230 = -8*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 207562095023 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1478 - -70?\nAnswer: 1548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 413560 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-32 - -38) + -11 + 2 + 1 + -2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 3 - 19 = 0. Find the common denominator of (-20)\/27*15\/y and -131\/12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-75)\/50 + -1 + 2\/(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -5*m + 29. Suppose -4*p + 6 = -m. Let h(u) = u**2 - 3. Let j be h(p). Solve -y - 4 = -5*b, 2*b = -5*y + j*b + 1 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 24 + -24. Suppose k = -q + 6 - 2. Solve -q*f = f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 7581*z + 136446. What is f(-18)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.9*5719161.\nAnswer: 5147244.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 <= 4687?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1001 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 + 81e60?\nAnswer: 81e64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 16.2286 or -39\/2?\nAnswer: 16.2286","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 2327946?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 99 divide 1154080026?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -31754*v - 190568. Determine z(-6).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1034 (base 5) in base 3?\nAnswer: 12100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/6 + (-49)\/3. Let s be 3\/o*(0 - 4). Let f be (18 + -12)*(-4)\/60. Which is the biggest value? (a) s (b) f (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 689\/265*-5 + (15 - -2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*x = -68*x + 41*x + 32*x + 770 for x.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the third derivative of -b**7\/525 + b**6\/20 - 7*b**5\/75 - 304*b**2 + b. Factor y(z).\nAnswer: -2*z**2*(z - 14)*(z - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32631 is divided by 8147?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(704)*-2 + -6*(-1 + sqrt(704) - sqrt(704)) + sqrt(704) + -3)**2.\nAnswer: -32*sqrt(11) + 708","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.1, -144, -0.1?\nAnswer: -144","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (17\/(-68))\/(2\/(-674))*-4. What is the common denominator of (-2)\/(-12) - (s\/93 - -4) and -31\/8?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27661 is divided by 182.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 8318058 divided by 37982\nAnswer: 219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 1 + -1*sqrt(19) + 1 + (sqrt(19) + sqrt(19)*-1)*3 + 5.\nAnswer: -sqrt(19) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18 - 16.7. Round l to 0 dps.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8491 divided by -7.\nAnswer: 1213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16762 - 16762 + 445*g to b + f*g and give f.\nAnswer: 445","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 35051250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the first derivative of o**7\/840 - o**5\/120 + 11*o**4\/24 + 37*o**3\/3 + 39. Let t(l) be the third derivative of z(l). What is t(0)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*z**2 - z**3 + z**4 + 491547*z + 3878 - 491547*z as m*z**4 + t*z + y + j*z**2 + g*z**3 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -4*i - p - 26, -i - 4 = 5*p. Let t = i + 17. What is the third derivative of -5*f**2 + 3*f**4 + t*f**2 - 2*f**4 wrt f?\nAnswer: 24*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 873, 1246, 1621, 1998, 2377, 2758, 3141?\n\"Answer: q**2 + 370*q + 502","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11 is divided by 11.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n. Let o(r) = 30*r + 5. What is -15*m(z) - o(z)?\nAnswer: -15*z - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2118 and 297.\nAnswer: 209682","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 + 7a5?\nAnswer: 7a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (37 - (24 - 40)) + 17 + (-22 - -3).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*(-5)\/(-10)*-2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-462)\/(-6) - 3) + 138\/(-23). Calculate the greatest common divisor of 4624 and z.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8 + 8 - (5 + -1)) + 0\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*j + 17 + 7 - 24.\nAnswer: -4*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 78*w**3 - 112*w**3 - w + w.\nAnswer: -34*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the first derivative of w**7\/7 + 1007*w**5\/5 + 193*w**3\/3 + 446. What is the third derivative of r(l) wrt l?\nAnswer: 120*l**3 + 24168*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, -787, -9.4?\nAnswer: -787","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -7992*w**3 - 72*w**2 + 8*w - 5558. Let x(k) = 15984*k**3 + 135*k**2 - 15*k + 11117. Let v(y) = 15*c(y) + 8*x(y). Differentiate v(n) wrt n.\nAnswer: 23976*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 <= -50\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 13061509 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -2*w**3 + 4*w. Let t(h) be the second derivative of -3*h**5\/20 + 5*h**3\/6 - 2*h. Let k = 3 + -7. Determine k*t(o) + 5*n(o).\nAnswer: 2*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3278, 3282, 3290, 3302, 3318?\nAnswer: 3338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 3*g**3 - 696*g**2 + 29037*g + 29736 = 0?\nAnswer: -1, 56, 177","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1830 - -2.\nAnswer: -1828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -2333\/482?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 27041627?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4328*f + 2284 - 4578 + 2294)*(8 + 3*f - 8).\nAnswer: -12984*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7651*t = 19453 + 355446 for t.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -5*q. Let w be p(-2). Let c be (w\/(-4))\/((-2)\/4). Suppose 5 = c*i + 15, -5*o = 3*i - 24. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dcfm when four letters picked without replacement from pffpdccdfccm.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -16 and -61.68?\nAnswer: 45.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41107 is divided by 998.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2341*f + f**2 + 0 + 0 + 2950*f + 0*f**2 to j + x*f + o*f**2 and give x.\nAnswer: 5291","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 3) in base 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -5*y + 4*y - 2*y. Let w(g) = -g**2. What is w(u(r))?\nAnswer: -9*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 100\/(-30)*3\/(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 80\/(-36) + (-210)\/27\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -21256 + 37555. Suppose -4*d = -6*z + 3*z, 0 = -4*d - z. Let o be -1 + -1 + d - -1 - p. Round o to the nearest one thousand.\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, v: 1, y: 10, q: 1, s: 1}. Give prob of sequence qvy.\nAnswer: 5\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*t**3 + 12 - 13 + 4*t + 0*t**3 + 0*t**3 in the form u*t**2 + o*t + f + w*t**3 and give o.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -3406, -3494, -3636, -3838, -4106, -4446?\n\"Answer: -u**3 - 21*u**2 - 18*u - 3366","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 5221?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000105869 rounded to seven dps?\nAnswer: 0.0000106","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -40*p**2 + 7*p + 53539. Is h(0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 56 - 56.2. What is the third smallest value in u, 1, 2, -0.3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = a + 2*a. Does 3 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.1 (b) -2.89899 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-60)\/400)\/((-6)\/(-485)) - -12 and 91\/5104.\nAnswer: 5104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1\/5 of a meter?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0846 and -1.87.\nAnswer: -0.158202","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*s + 118 + 222 = 9*s for s.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 22) + (-30 - 1) + 38?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-172)\/(-22) - 0 - 2 - 618\/103\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 428 = 434. Let a = 0 - -2. What is the third derivative of 45*x**3 - 6*x**a - 25*x**b + 26*x**2 wrt x?\nAnswer: 120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 5*o - 4*j - 18, -7 = -o + j. Calculate the remainder when o is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1010201121 (base 3) to base 2.\nAnswer: -101011101111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 56*d**2 + 0 - 704\/7*d - 20\/7*d**3 = 0.\nAnswer: 0, 2, 88\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = -o + 138. Suppose o = 5*f - f. Calculate the common denominator of ((-260)\/12)\/(f\/6) and 95\/14.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 95, 189, 275, 347, 399, 425, 419, 375?\n\"Answer: -s**3 + 2*s**2 + 95*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*s + 5*a + 10, -7*a + 2*a - 10 = s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/20)\/((-4)\/8)*17?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/22 (b) 1\/2 (c) 3 (d) 471\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28040?\nAnswer: 2, 5, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 102 is divided by 19.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.11 + -0.69. Which is the second smallest value? (a) 2 (b) r (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8633754?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 60*a = 64*a + 4, 0 = a. Put f, 15, 92 in ascending order.\nAnswer: f, 15, 92","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:10 PM and 7:26 AM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 319 - 309. Let c = -2 + 6. Solve -n = c*n - b for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, a: 3, y: 1, n: 2}. Give prob of sequence sy.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**2 - s - 2. Let n(j) = -2*j - 5. Calculate the remainder when z(-3) is divided by n(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 4, l: 3, c: 2, x: 1}. Give prob of sequence xcv.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1302205 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**2 - 2. Let z be a(2). Suppose 5*d + 4*b = 3*b + 105, -b = z*d - 39. What is the smallest common multiple of d and 4\/(-2)*(1 + -12)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2 + (1 + 0)*8. Let n = 14 - a. Solve 0*z = -n*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(15) + sqrt(165)\/sqrt(11) - sqrt(15))*-5 - sqrt(15))\/((sqrt(30) - sqrt(3000))\/sqrt(10)).\nAnswer: 2*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 4*v = 627 + 3466, v = -2*z + 1632. Suppose -5*y + 3022 = z. Let a = y - 279. Calculate the highest common divisor of 18 and a.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*j - 433 - 44*j + 16*j + 10*j.\nAnswer: -3*j - 433","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2 - -17 - (1 + 0). Suppose -g + 5 = -2*g + 5*j, 4*j = -2*g + a. Suppose 4*i - g*p - 1243 = 0, -i - 2*p - p = -298. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -205 = -65*k + 9*k - 821 for k.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 19 in 40, 0, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4.19 + -0.81. Let g = 0.453 - -0.047. What is the fourth biggest value in -0.2, 0.1, g, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16536 + 16526. Let y(h) = -3*h**2 - 33*h - 2. Give y(o).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2753322*c**3*w**3 - 3*c**3 + 87*c**2*w**2 - 176*w wrt w?\nAnswer: 16519932*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 0*v - v - 8 = 0, -5*w - 2*v + 38 = 0. Suppose 2*k + 2*x - w = 0, -4*x + 3 = k - 5*x. Suppose k*q - 15 - 12 = 0. What are the prime factors of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -4*k - 40, 4*k + 68 = -3*c - 0*k. Let w be (-88)\/(2\/(-2) - (24 - 27)). Let p = c - w. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 441*q**2 + 592254 - 595707 + 3157*q**2 wrt q.\nAnswer: 7196*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 808393 to the power of 1\/2, to the nearest integer?\nAnswer: 899","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d = 11*o + 240, -646*d + 650*d = 26*o - 192 for d.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((1*-2*sqrt(104))\/((sqrt(96)*1 + sqrt(96))\/sqrt(12)) + (3 + sqrt(13) - sqrt(13)) + -4 + -6*-4*sqrt(13)))**2.\nAnswer: -736*sqrt(13) + 110048","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 58251527?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 80089288*b**3 - 16006065*b**2 + 3 wrt b?\nAnswer: 480535728","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 2 + 3 = 0. Let y(k) = -112*k - 49. Let h(u) = 7*u + 3. Let p(d) = -49*h(d) - 3*y(d). What is the units digit of p(f)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 79675818.\nAnswer: 2, 3, 23, 29, 43, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-36)\/(-18))\/((-6)\/15).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + d = 20. Let t(x) = d*x - 6 + 5*x - x**2 - 2*x. Let a be 27 - (3663\/165 - (-3)\/(-15)). Calculate t(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 16 + 4 = -j, y - 42 = -j. Calculate the remainder when 72 is divided by j.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -373, -2, -1206, -12, -4, 1 in decreasing order.\nAnswer: 1, -2, -4, -12, -373, -1206","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5177960 != 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 65409613 and 293.\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 30 and 798.\nAnswer: 3990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.005 in 2\/5, 4, -1\/4, -1\/2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 7*n + 116. Let k be g(-14). Suppose -k*y + 635 = -3631. What are the prime factors of y?\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -2*n**3 + 614*n**2 - 119*n + 36794. What is b(307)?\nAnswer: 261","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 357?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*-0.047.\nAnswer: 0.0094","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.6 + 10.5. Let f = k - 8. Round f to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 23154?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 125188 is divided by 106.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -74.98968 to the nearest integer.\nAnswer: -75","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1736069 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 202.6767987 - 0.0019?\nAnswer: 202.6748987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 11 = -i - j, -5*i = -3*j - 49. Let a be 2\/i*(-504)\/35. Suppose -3 = -3*s + c - 11, -s = -5*c - 16. Which is smaller: s or a?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 2148?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 2*z**2 - z - 10. Let b be i(7). Suppose 4*g = 7*g - b. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen fifths of a litre?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9720 a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.318 + 0.318. Which is the closest to v? (a) -0.033 (b) -0.4 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4824 and 27?\nAnswer: 14472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**2 + 27*l - 37. What is n(0)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -173.2602365 rounded to 1 dp?\nAnswer: -173.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 - 0. Suppose 10*y - z = 5*y. Let o = 32 - 97\/3. Which is bigger: o or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69429 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*u + 70925741 = 56*u. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 13*k - 8*k - 200, 0 = -5*l - k + 904. What is the greatest common factor of l and 3840?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 434 and 577654.\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1282432169 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**2 + j - 1. Let t be l(1). Let i = 9 - 7. Let w = -90 + 628\/7. Which is the nearest to t? (a) i (b) -0.5 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 187626111?\nAnswer: -1\/62542037","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -56971 + 23244241\/408. Let p = 5\/24 - k. Which is greater: p or 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**4 + 2*z**2 - z - 1. Let u(q) = 2*q**4 + 36*q**2 + q - 17. Let m(k) = -2*d(k) + 2*u(k). Find the second derivative of m(f) wrt f.\nAnswer: 24*f**2 + 136","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 - (-4)\/(-2))*(-7)\/(-14). Let t = -95 - -853\/9. Is t at least v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30\/(-4)*25\/(9000\/(-3120))?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(209)*6)\/(sqrt(99)*1).\nAnswer: -4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9276 and 35169.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1253, 1.203, -0.1 in ascending order.\nAnswer: -0.1, 0, 1.203, 1253","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 4, l: 1, b: 1, z: 4, g: 1}. What is prob of sequence ozlb?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**3 - c**2 + 3*c + 18. Let u be y(-4). Suppose 0 = -u*b + 59*b - 2465. Is 29 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49969 to the power of 1\/2, to the nearest integer?\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 65 - 70 + 15*d - 24. Let r be i(2). Let n = -14 + 24. Which is the smallest value? (a) -0.5 (b) r (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*g - 8*g - 248. Let x = g - -126. What is the derivative of 18*p**x - 51 + 23 + 3*p**2 wrt p?\nAnswer: 42*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4244124 (base 5) in base 10?\nAnswer: -71789","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jgj when three letters picked without replacement from gjgjggrgejrrrryrryg.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**2 + 4*w + 16. Let c be p(5). Calculate the highest common factor of 1 and c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 19*o**3 - 2*o + 6 - 22*o**3 + 2*o wrt o?\nAnswer: -9*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.1 - 0.3. Let j = -3 + 4. Which is the second biggest value? (a) j (b) 1\/4 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3147392 a multiple of 134?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g + 9 = -3*g. Suppose -72 = g*m - 192. List the prime factors of m.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**3 + 4*j**2 + 2. Let h be x(-4). Suppose h*n - 3*n = -5. Suppose -4*b - m + 8 = -2*m, 0 = 5*b + n*m - 10. Solve b*s = s - 4 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 3149*s - 11940. Calculate l(4).\nAnswer: 656","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - 8 = 0, 2*g - 3*g - 50 + 93 = 5*c + 59 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 998 + -917. Suppose 2*g - 28 = -5*t, 84*t + 4 = 4*g + c*t. Determine z so that z**3 + 4\/3*z**g - 4\/3*z - 4\/3*z**2 + 1\/3*z**5 + 0 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - (-1 - -39))*-3*(-7)\/(-105)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -358 - -358.0000478. Round a to six decimal places.\nAnswer: 0.000048","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1349 and 78554968.\nAnswer: 1349","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 11715510?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 125 + -87. Let m be 13 + -1 - 7\/(-7). Solve 5*f + m = h for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w. Suppose -400 = 5*r - 2*o, -3*r - o = 254 - 14. Let d = -78 - r. Let l(c) = 4*c**2 + 0*c**2 + 18*c**d - 6*c**2. Calculate l(u(v)).\nAnswer: 16*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4 and 1010532?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l - 6. Solve 8 = 5*y + 4*q - l, -3*q = -2*y + 9 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -832114, -1664208, -2496278, -3328324, -4160346, -4992344, -5824318?\n\"Answer: 12*l**2 - 832130*l + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 + -6. Let n(r) = r + 8. Let b be n(p). Solve 5*t + l = b*t + 5, -3*l = -15 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*s**2 + 6*s**2 - 2*s**2.\nAnswer: 12*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve i + x = -15, -3*i - 4*x = 11 + 48 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 + 270.\nAnswer: 288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the third derivative of q**5\/90 - 5*q**4\/36 - 6*q**2 - 8. Let c(b) = 0. What is b?\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 201.777*-0.07.\nAnswer: -14.12439","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Do -0.1 and -7045\/4 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 divided by -3262?\nAnswer: -17\/3262","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -599, -2369, -5315, -9431, -14711?\nAnswer: -21149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence evv when three letters picked without replacement from {f: 1, l: 2, e: 2, k: 1, t: 1, v: 2}?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 880?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(4032) + sqrt(63))**2.\nAnswer: 5103","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*h**3 - 41*h**3 - 5*h**3 - 46*h**3.\nAnswer: -76*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 431 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**3 + 11*r**2 - 8*r + 2. Let k be h(7). Suppose 0 = -2*g + 3*y + k + 46, -96 = -g + 2*y. Calculate the highest common divisor of g and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 7, o: 6}. Give prob of picking 1 l and 1 o.\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 0, 3, -1, 5, 1, 22 in descending order.\nAnswer: 22, 10, 5, 3, 1, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.05 + -5.05. Let g = -0.9 - -0.9. Which is the closest to -0.1? (a) w (b) 1 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -295590000 to the nearest 1000000.\nAnswer: -296000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 70 (base 13) to base 3\nAnswer: 10101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (4*7\/(-140))\/(2\/(-10))*-2\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + x = -x - 8, -3*m - 3*x = -69. Let l be (-7)\/(-3) + (-6)\/m. Let p be (-12)\/l*(-6 + 5). Solve 9 + p = 5*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes after 10:19 AM?\nAnswer: 1:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 19, 0.3, 0.4, -1, -3263?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01723617618 to 2 dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.06, -2\/7, -128\/13, 4, -62.\nAnswer: -62, -128\/13, -2\/7, 0.06, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 32803 to the nearest 100.\nAnswer: 32800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -51.1 + 2446.9?\nAnswer: 2395.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**3 + 9*f**2 - 7*f - 15. Let g be c(-7). Suppose 9*v = 5*v + g. What are the prime factors of v?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 196322127?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 360725 a multiple of 310?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 625 and 0.058693?\nAnswer: 36.683125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 213306533?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -4442057 divided by -1\nAnswer: 4442057","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s + 24. Let o be c(21). Put 75, o, -3 in increasing order.\nAnswer: -3, o, 75","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n - 9. Let k be o(8). Let h = k - -8. Is 17 a factor of (6\/h)\/(4\/(-102))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(1573) - (1 + sqrt(1573))) + -2 + -2 + sqrt(1573) - (-2*(sqrt(1573) + 2) - (-3 + sqrt(1573))*6))**2.\nAnswer: -4752*sqrt(13) + 127989","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the third derivative of r**5\/12 + r**4\/12 - 5*r**3\/6 - r**2. Let c be 4 + (-2 - -3) + 1*-2. What are the prime factors of a(c)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.74 + 0.7. Let y = -0.06 + b. Let f = -7 + 4. What is the closest to y in f, 5, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16 and 964460.\nAnswer: 3857840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 118333565?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 43491*y - 347930. Determine b(8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-18)\/4*16\/12. Let x(f) = 6 - 4*f - f**2 - 2*f + 0*f**2. Give x(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.321306l to millilitres.\nAnswer: 4321.306","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (33183\/(-1377) - -24) + (-1)\/(-2*34\/4)?\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 993186877?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.33365912 to one dp.\nAnswer: 6.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-6)\/7)\/(66\/308). What is the nearest to -0.2 in o, 0.4, -0.2, 581?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.4 - 0.1. Let s = v + 2.3. What is the closest to 0.1 in 0.2, s, -0.01?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-15))\/(25*(-416)\/(-2000))\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -2 - 2 + 1 - 3*q**2 - 2*q - 2*q**3. Let t be n(-2). Find the second derivative of 5*w + 7*w**5 - 3*w**t - 2*w wrt w.\nAnswer: 80*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-4*sqrt(1375) + sqrt(1375)))\/(-6*(sqrt(5) + (sqrt(5) - sqrt(125)) + sqrt(5))*3).\nAnswer: 5*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qkpqppkp. What is prob of sequence pq?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 431428917 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**2 - 18*n + 10. Give r(18).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/(-4)*24*8\/(-224).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -30 + 15. Suppose 2*t - 30 = 22. Let r = x + t. Calculate the remainder when r is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 13927, -1\/8, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*j**3 + 1653*j - 823*j - 830*j.\nAnswer: -11*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 - 11. Let r be (2 - j) + -1 + 0. Suppose -p + w - 11 = r*w, -3*p - 5*w - 17 = 0. Is -1\/6 at most p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000002789 rounded to 7 dps?\nAnswer: -0.0000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4246418 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2037*z + 586 + 1533 + 1680 = -275 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -67 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a4 (base 12) to base 3.\nAnswer: -11121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 6, 273, 0?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r + 40 = 5*g + 75, 2*g - 2*r - 42 + 44 = 0 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 221222 (base 3) in base 16?\nAnswer: 2bd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**2 - 1320*f + 1321.\nAnswer: -(f - 1)*(f + 1321)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -0.02 (b) -131 (c) 0.6 (d) -2 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 17\/4 of a litre?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r + 10*r = 3*q + 9892, 0 = -5*q + 20. What are the prime factors of r?\nAnswer: 2, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2664440 + 1345?\nAnswer: 2666115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 + -2. Suppose 13*z - 8*z = 0. Which is smaller: z or k?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 70, -592, -1696, -3242, -5230, -7660, -10532?\n\"Answer: -221*d**2 + d + 290","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 29451837 times -0.2\nAnswer: -5890367.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 20*b + 21. What is k(-4)?\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -3614*i + 75868. Determine p(21).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13*z**5 + 456*z**4 + 12735*z wrt z?\nAnswer: -260*z**3 + 5472*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -481*k**5*s - 70*k*s + 5*s wrt k?\nAnswer: -9620*k**3*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3083, 6146, 9209, 12272?\nAnswer: 15335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 - 3 + 9)*(2 - 3 - 1)*(16 + 17*c - 16).\nAnswer: -544*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**3 - 5*o**2 + 7*o + 1. Give l(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (41 - 26) + (3 - (2 - -4)) + 5 + 52?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13931286 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -462*c*t**2*u**3 - 262*c*t*u**3 - 2*t**2*u + 4*t*u wrt t.\nAnswer: -924*c*u**3 - 4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -17*t + 70. Let n be v(4). Calculate the greatest common divisor of 14 and n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -26*c**3*j**3*z + c**3*z**2 - 5*c**2*j**2*z - c**2*j*z**3 + 12*c*j**3*z**3 wrt j?\nAnswer: -156*c**3*z + 72*c*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -870.89269 + -139?\nAnswer: -1009.89269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(2\/7))**(-12\/17))**(-12\/5) assuming r is positive.\nAnswer: r**(288\/595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1, 0, -9 in descending order.\nAnswer: 2, 1, 0, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -2*b - d + 14, -4 = -d. Sort 4, 5, b in ascending order.\nAnswer: b, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -47221720047.0815 minus -0.2?\nAnswer: -47221720046.8815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12112102211 - 10?\nAnswer: 12112102201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -r - 5*x - 46, -3*r - 86 = -5*x. Let y = -133 - r. Is (-4)\/10 + y\/(-15) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*w - 16*w**3 + 12*w)*(2*w - 3*w**2 - 2*w).\nAnswer: 48*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12 + 1900\/105 - 6) + 17102\/357.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 a when two letters picked without replacement from {a: 5, b: 3, e: 1, s: 8, p: 2}.\nAnswer: 40\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 3 + 3 = 0. Suppose -y*t = -t. Sort t, -3, 2.\nAnswer: -3, t, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 22646 and 3211?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 6270, 6264, 6258?\n\"Answer: -6*v + 6276","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 31028 greater than or equal to 31029?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 89112 and 8.\nAnswer: 89112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 5*h = 3, l - 21 = -2*l - 4*h. Let z = 15 + l. Calculate the highest common factor of 6 and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.3 + -0.7. Let k = w - -3. Let v = 10 + -49\/5. Which is the nearest to 2? (a) v (b) k (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 + (-3722 - (-1 - -4)). Calculate the remainder when 2\/((-4)\/(-10))*w\/(-90) is divided by 42.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.054, -3\/31, 0.16, -77\/5?\nAnswer: -3\/31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (170\/(-4))\/((-13)\/130). Calculate the highest common factor of 75 and z.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 2413*r + 1264*r - 2 - 1 + 1 + 1153*r.\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*s + 78. Let r = s + 28. Suppose -2*j + 2*z + 8 = 0, 12 = r*j - 5*z - 5. Solve o = j*o - 8 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q**3 + 0*q**3 + 0*q**3)*(-42 + 2 - 38).\nAnswer: -78*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 42223 and 43489?\nAnswer: 1836236047","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-10)\/45*27\/(-12). Which is smaller: m or 1\/18?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**3 - 34*j**2 + 5*j + 173. Let f be x(-34). Suppose 3*z = 4*t - 11317, -f*z - 2066 = 5*t - 16246. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 1.14314 (b) -3 (c) -54\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 104 - -125?\nAnswer: 229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1324 divided by -1104?\nAnswer: -331\/276","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1, 2\/11, -8.7?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1087064 + -9461.\nAnswer: -9460.8912936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**2 + 20425*b - 100196556.\nAnswer: -(b - 12237)*(b - 8188)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15886 is divided by 15365.\nAnswer: 521","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -30 - -38. Suppose -32*c + 406 = 26*c. Solve -c*a - l = -3*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*y - 434 + 127 = 65 for y.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fl when two letters picked without replacement from lcddflb.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*m**3\/9 - 86384*m**2\/9 + 2503454*m\/9 = 0. What is m?\nAnswer: 0, 29, 43163","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - d**3 - 2379*d + 2280*d - 3*d**2 + 7*d**2 + 2*d**4 to q*d**3 + f*d**2 + p*d**4 + u + w*d and give w.\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 57*x - 1849. Let h be y(37). Which is smaller: -33 or h?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwbbbbwwwwbbw. What is prob of picking 1 w and 3 b?\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 168840187 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2\/9))**(-43)\/((l*l**(-2)\/l)\/l)**47 assuming l is positive.\nAnswer: l**(1355\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes after 8:37 AM?\nAnswer: 1:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -190419.\nAnswer: -1\/63473","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2272 and 0.1?\nAnswer: 2271.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 36717 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*a - 45*a + 119 = -547 for a.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 2*p + 448 = -234, o + 5*p = 249. What is the lowest common multiple of o and 56?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 38336 and 320?\nAnswer: 191680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 2*m**5 + 212*m**4 - 7038*m**3 + 19152*m**2 = 0?\nAnswer: -133, 0, 3, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4923739379?\nAnswer: 13, 53, 61, 193, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes after 10:28 AM?\nAnswer: 5:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 267777 is divided by 1834.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 20.9294364 to three decimal places.\nAnswer: 20.929","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16 - -18. Calculate the remainder when p is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 87260?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 306 and 342.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6 by 197.\nAnswer: -6\/197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -324*r**5 - 56*r**4 - 41*r**3 + 2220816*r**2 - 1 wrt r?\nAnswer: -19440*r**2 - 1344*r - 246","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -425 + -2405?\nAnswer: -3234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -2*a + 2. Let m(j) = j - 1. Let w = 5 - 2. Calculate w*m(z) + g(z).\nAnswer: z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -3086000 rounded to the nearest ten thousand?\nAnswer: -3090000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 104*b**2 - 6*b**2 - 57*b**2 + 2 - b to c*b**2 + n + q*b and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1560 - 57*z + 231*z + 1560.\nAnswer: 174*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -0.5, -3\/9661, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3, 2, -8, 10.\nAnswer: -8, -3, 0, 2, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11821 - -11809) + 2 + 5 + -1 + -2 + 47?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, f: 5, k: 3, h: 1, j: 3, u: 1}. What is prob of sequence fjj?\nAnswer: 5\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -2*x**3 + 151*x**2 + 114*x - 2855. Determine d(76).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 294 + -227. Calculate the remainder when n is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/10*(-2 + 0). Let m = -149 - -150. Is f >= m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -3*h + 33. Let z(j) = -j + 16. Let w(l) = 3*v(l) - 7*z(l). Let g be w(-4). Which is the third smallest value? (a) -3 (b) g (c) -1 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 366.4 + -420. Let p = f + 54. Let c = -0.7 - -0.5. What is the second smallest value in p, c, 0.08?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6693 + o + 13637 - 6944.\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 7\/(147\/77)*((-1690)\/(-26) - 44)\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/6 in 0.05, -338, 4\/3?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - (2 + -6)) + (18 - 29)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1235 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p\/(p\/(p**(-1)\/p)*p)))**9*((p*p*p*p\/p**(-2)*p)\/p)\/p**(2\/21) assuming p is positive.\nAnswer: p**(880\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 15*h**2 + h + 3. Determine v(-1).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -25, -97, -215, -379?\n\"Answer: -23*o**2 - 3*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 33.87 - 34. Let c = u + 0.43. Which is greater: -5 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vxr. Give prob of sequence vx.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -5500*c - 1154993. What is o(-210)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 77 and 231?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 18 - 16. Let q(n) = 5*n**2 - 8*n**w + 4*n**2. Let h(u) = 3*u - 2*u**2 - 3*u. Calculate h(q(s)).\nAnswer: -2*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -34 - 113?\nAnswer: -147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k - 2182 = 338. List the prime factors of (k - 2)\/(3 - 0 - 1).\nAnswer: 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 1 + o + 1)*(-1867 + 49*o + 29 - 30*o + 30*o) to i*o + s + d*o**2 and give d.\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1283*s**5 - 40793*s**2 + 40793*s**2)*(0 + 4 + 1).\nAnswer: 6415*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q\/((q**(4\/11)*q)\/q*q)))\/q)**(-1\/9)*q**(18\/11)\/(q**(-1\/4)*q*q) assuming q is positive.\nAnswer: q**(-61\/396)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 39929543 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 + (-35)\/14 - 2\/4. Calculate the remainder when 24 is divided by b\/6 - (-225)\/27.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -101100101010001011110 (base 2) in base 11?\nAnswer: -90a515","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -1\/48?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 545 divided by 41\nAnswer: 545\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (12\/(-10))\/(332\/145). Let w be (-89)\/249 - 6\/(-18). Let j = u - w. Which is bigger: j or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21724 divided by 10862.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000226983337 rounded to 6 dps?\nAnswer: -0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-228)\/(-39) - (-4 - (-150)\/39). Let s(h) = 3*h**2. Let l(g) = -6*g**2 + g. Let b(x) = o*l(x) + 13*s(x). Let b(a) = 0. Calculate a.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 1 z when three letters picked without replacement from bzyoozbboybzbyb.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12 + 16. Suppose 115 - 503 = -h*k. Suppose -9 = 3*m, -2*d - m + k = -0*d. What is the remainder when d is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 2*j + 28. Let l be w(-32). Let v = l - -144. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9570951 millilitres to litres.\nAnswer: 0.0009570951","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 28087 to the nearest integer?\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1348, 1286, 1224, 1162, 1100, 1038?\n\"Answer: -62*n + 1410","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -55, -56, -59, -64, -71, -80, -91?\nAnswer: -104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*s - 3*s - 894. Let y = s - -990. Let l = -15227\/22 + y. Find the common denominator of l and -107\/14.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence thbq when four letters picked without replacement from bhbootthyhqh?\nAnswer: 2\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**2 + 265*l + 7676. Determine f(-33).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1352\/(-39))\/26*(-5)\/((-105)\/(-27))?\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6749*q**3 - 2585*q.\nAnswer: -40494*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 723 divide 848711?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-11)\/(-33) + 4\/6. Let u(h) = x - h**2 + 4*h**3 - 5*h**3 + 7*h**2. Calculate u(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b - 1. Let w(l) = l + 7. Calculate t(d) + w(d).\nAnswer: 2*d + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l**4 + 706*l**3 + 22782*l**2 + 76094*l - 99580 = 0 for l.\nAnswer: -26, -5, 1, 383","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2521?\nAnswer: 2521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**2 + 1. Let k(i) = -6*i**2 - i + 6. Suppose 0 = 2*c + 1 - 27. Suppose -c = -5*d - 38. What is d*g(l) + k(l)?\nAnswer: -l**2 - l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + -7 + -2 + 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 69\/296 - 4\/37. What is the biggest value in -1, 3\/7, z?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 76 = 3*k, -2*k - 6*x + 34 = -2*x. Calculate the remainder when 91 is divided by k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 576*w**3 - 56928*w**2 - 9500*w - 396.\nAnswer: 4*(w - 99)*(12*w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1\/229 + -481\/5267. What is the biggest value in m, -5, 1\/10?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u, 1 j, and 1 w when four letters picked without replacement from {w: 2, u: 2, j: 4}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**2 + m + 1. Let a be 132\/(-16) - 1\/(-4). Let v(d) = -10*d**2 + 10*d - 2. Let s(t) = t**2 - t. Let k(n) = -12*s(n) - v(n). What is a*w(c) + 3*k(c)?\nAnswer: 2*c**2 - 2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vi when two letters picked without replacement from vgfvhigghghg?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:57 PM and 7:26 PM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13.2 + 13. What is the nearest to 2 in q, 3, -1\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2115274627394 plus 29?\nAnswer: -2115274627365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*c**3 - 64*c**3 + 99*c**3 + 1757*c**2.\nAnswer: 5*c**3 + 1757*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, -0.1, 0.5, 4\/5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2860.9 - 2861. Are r and -425 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 605*w - 77. Let k(h) = 39*h - 5. Give -77*k(l) + 5*s(l).\nAnswer: 22*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13558 + 528742\/39. Is -1 at most as big as g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 divided by 7?\nAnswer: 18\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 281509 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -182761720*t*v**3 - 6489227*t*v + v wrt v.\nAnswer: -1096570320*t*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3242 is divided by 462?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the third derivative of p**6\/360 + p**5\/20 + 5*p**4\/18 + 2*p**3\/3 - 118*p**2. What is s in t(s) = 0?\nAnswer: -6, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -8150*r + 100. Let j(i) = -247*i + 3. What is 100*j(w) - 3*p(w)?\nAnswer: -250*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 549251.\nAnswer: 109, 5039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2 + -2)*1\/2. Let u = 162498449\/85 - 1911778. Let t = u - -158\/5. Is y < t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**3 + 13*y**2 + 13*y + 8. Give z(14).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 409479092 to the nearest integer?\nAnswer: 743","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 43, 8, 1120, -4, 3, -5 in ascending order.\nAnswer: -5, -4, 3, 8, 43, 1120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 26273309 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1912175 and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 48325686 and 88597091.\nAnswer: 531582546","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x. Let d(a) = -2*a**2 - 5. Let p be (-4)\/3*(-9)\/6. Let o(r) = -5 - 2*r**2 - r**p + 0 - 2. Let k(w) = -7*d(w) + 5*o(w). What is i(k(t))?\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -4*r + 5*z + 21280, 4*r - 17038 = -3*z. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 61.26 - 31.26. Put 15, -0.1, 0.5, t in decreasing order.\nAnswer: t, 15, 0.5, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-9))\/((2\/(-4))\/(9387\/298)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51 + 9 = -2*n. What is the lowest common multiple of n and 30?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -88 (base 12) in base 2?\nAnswer: -1101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in seven halves of a microgram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**3 - 6*l**2 + 2*l + 14. Let f be p(-6). Solve f*m = -5*t - 2, -2*t = 5*m + 8 - 3 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 134631 is divided by 67306?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 154*f**3 + 6*f**2 - 69*f + 182. Does 10 divide s(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -40*h**2 - 283*h - 14. Let a be b(-7). Solve -12 = 4*i, 0 = 4*z - 19*i + 24*i + a for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**3 - 2*g**2 - 2*g + 2. Let s(r) = -673*r**3 + 8*r**2 + 8*r - 8. Calculate 4*f(k) + s(k).\nAnswer: -669*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.00106 or 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 160*i**2 - 1642*i + 413. Calculate w(10).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (((-60)\/25 - -2)*(-15)\/(-126))\/2. Suppose 5 = -r + 4*h - 3, -2*h = -r - 6. Which is the third biggest value? (a) v (b) r (c) 0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -48.48 + -3.82. Let j = -2.8 - d. Let y = j - 38. What is y rounded to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6.02 + 79951.\nAnswer: 79957.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001325 to three dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/4 + 1 - (-8483)\/(-13972)\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -0.371, 2\/83 in ascending order.\nAnswer: -0.371, 2\/83, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -565809, -1131619, -1697429, -2263239?\nAnswer: -2829049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.0787 - -3.9487. Let q = y - 4. What is the third smallest value in 1\/4, q, 0.3, 1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -6*h - 16 - h**2 - 7*h + 2*h**2 + 2*h. List the prime factors of c(14).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -2*w - 1. Suppose -3 - 3 = 3*k. What is the remainder when 4 is divided by s(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**2\/3 + 78094*h\/3 + 6926603.\nAnswer: (h + 267)*(h + 77827)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**2 + 7*o. Let f be g(-7). Suppose -2*w = -2*t + 7*t + 9, f = 2*w + 4*t + 6. Suppose 5 = -3*j - 4*h + 2*h, -w*j + 4*h + 1 = 0. Sort 5, j, -0.9.\nAnswer: j, -0.9, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4839 + acca?\nAnswer: 6491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.401 and 0.406953.\nAnswer: 0.807953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**4 - 347*x**3 + 1400*x**2 - 1404*x.\nAnswer: -x*(x - 2)**2*(x + 351)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = 5*a + 45705, -4822*a + 27443 = -4825*a + s. Is -9145 at most as big as a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes before 9:16 PM?\nAnswer: 9:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*j**2 - 4*j**2 - 3*j**2)*(6550*j**3 + 3209*j**3 + 4789*j**3 - 1389*j**3).\nAnswer: -26318*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in twenty-one halves of a kilometer?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 - -11. Let i = -3 + u. Solve i*m = -1 - 3 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -276121 - 1067870 = -106*t + 1509529. Does 20 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-102*g + 97*g + 630*g)*(0*g - 2*g + 0*g)*(-2 + 2*g + 2).\nAnswer: -2500*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + -2 + 1 - -2) + 3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*g + 63*g = 3880. Round g to the nearest one hundred.\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -435, -1729, -3889, -6915, -10807, -15565, -21189?\nAnswer: -27679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4295 + 128863\/30. What is the common denominator of -68\/15 and m?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3 + -12*2\/(-4). Suppose -79 = -r*m - 22. List the prime factors of m.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9079 less than -0.919?\nAnswer: -9079.919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -129, -597, 8 in ascending order.\nAnswer: -597, -129, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(sqrt(350)*1 - sqrt(350)))\/(-1*sqrt(21)\/sqrt(3)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/10)\/(22\/(-10))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f - f - 112. Suppose -3*k + 84 = 3*a, -2*a + 3*a - 5 = 0. Suppose 0 = -3*v + f + k. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((-1 + sqrt(1008) + sqrt(1008))*2 + -1))**2.\nAnswer: -288*sqrt(7) + 16137","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 19896858107 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 393304 divided by 932.\nAnswer: 422","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y - y - y**3)*(2 + 4 - 5) - 8*y**3 + 4*y**3 + 3*y**2 + 0 - 2.\nAnswer: -5*y**3 + 3*y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 2*g**3 + g**2 - g + 1. Let o be h(-2). Let j = o - -8. Do j and -7\/3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00027685755 rounded to 7 dps?\nAnswer: -0.0002769","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3688.\nAnswer: 2, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -12*x + 3. Let r(q) = -37*q + 12. Let m(p) = -2*r(p) + 7*y(p). Let z(s) = 1. Let w(o) = -2*o**2 - 6*o + 52. Let k be w(-7). Give k*z(d) - m(d).\nAnswer: 10*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*n**3 + 144211*n**2 + 315*n - 5 + 4 - 144211*n**2.\nAnswer: 3*n**3 + 315*n - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(180)*2)**2 + 2.\nAnswer: -120*sqrt(5) + 747","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 51\/(-12) - 3\/4. Let c(o) = o**3 + 4*o**2 - 6*o + 5. Let k be c(u). Let j(y) = -y**3 + 15*y**2 - 11*y + 5. Is j(k) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**2 + 6*u - 5. Determine r(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*f**3 + 1 - 265411*f - 1 + 265411*f.\nAnswer: 28*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -446*138237\nAnswer: -61653702","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 394404*k**3 + 2*k**2 - 43204253 wrt k?\nAnswer: 1183212*k**2 + 4*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 c, 1 y, and 1 w when four letters picked without replacement from {c: 1, w: 1, l: 1, y: 2, s: 1, g: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 3291*-1\nAnswer: -3291","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3941, -3923, -3893, -3845, -3773, -3671, -3533, -3353?\nAnswer: -3125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 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: Let a(m) be the third derivative of m**5\/60 + 5*m**2 - 92. Let h(y) = 12*y - 32. What is a(h(o))?\nAnswer: 144*o**2 - 768*o + 1024","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2140 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 23583, 47227, 70871, 94515?\n\"Answer: 23644*s - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1883, 3764, 5645, 7526?\nAnswer: 9407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*q = 2*q + 2, 0 = 5*t + 4*q - 1 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -44.476244 rounded to two decimal places?\nAnswer: -44.48","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1125*g**3 - 2200*g**2 + 745*g - 70.\nAnswer: 5*(5*g - 1)**2*(9*g - 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6109 by -6109.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from pduvbdy.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 5 - 1 - (-7 + -10 + 16) - (93 + -6)\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together 380841392 and 44510.\nAnswer: 380885902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 249 and 56258479?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*k**4 + 106*k**2 + 918*k**3 + 3*k**4 - 896*k**3 - 17*k**2 - 4*k**4 as g*k + f*k**2 + t*k**3 + y + b*k**4 and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-28)\/(-140)*1*5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g when three letters picked without replacement from {r: 5, g: 3}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13696 and 52216.\nAnswer: 856","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 228 is divided by 118.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3 - (3 + 0 + -5). Let d = j - 5. Let w = 0 - -1. Put d, w, -5 in descending order.\nAnswer: w, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 96*v + 2 + 77*v + 55*v - 172*v.\nAnswer: 56*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -452, -525, -600, -677?\nAnswer: -756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:37 PM and 4:10 AM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -3211, -12529, -27959, -49501, -77155, -110921?\n\"Answer: -3056*x**2 - 150*x - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11832*h**3 + 2*h**2 - 112*h + 164.\nAnswer: -70992","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(2\/11)*c*c**(-9))\/(c**(2\/11)*c\/c**(-6)*c) assuming c is positive.\nAnswer: c**(-16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 23 = -2*q, 2*w + 2*q = -2*q + 26. Suppose -5*x + w*u = -40, -3*u + u = 10. Put 4, 0, x in decreasing order.\nAnswer: 4, x, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and 373.\nAnswer: -149.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18651346?\nAnswer: 2, 7, 17, 78367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1376 and 602?\nAnswer: 9632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 579426.\nAnswer: 2, 3, 269, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 25\/6, -2\/13, 1.1?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*l + 43800 = -16*l. What is the hundreds digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 3132 = 57*u. Put -1, u, 2\/7 in descending order.\nAnswer: 2\/7, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1b + -1a7?\nAnswer: -1c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3994853\/9 - -444525. Let v = k + -47339\/72. Calculate the common denominator of -13\/16 and v.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 6*u**3 - 3 + 3 + 7*u**2. Let m be -262 + 274 - (4 - -15). Let w(v) = -10*v + 3*v**2 + v**2 + 10*v + 3*v**3. What is m*w(s) + 4*l(s)?\nAnswer: 3*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(91) - ((sqrt(91) - ((sqrt(91) - ((sqrt(91) - 3*sqrt(91) - sqrt(91)) + sqrt(91)) - sqrt(91))*2 - sqrt(91))) + sqrt(91)))\/sqrt(7).\nAnswer: 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 2*b + 5*p - 30 = 0, -5*p - 50 = -4*b. Let f(y) = -y**2 + 12*y - 9. What is the remainder when 20 is divided by f(b)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 30*g - 14 + 21 - 3.\nAnswer: -30*g + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*y + 27 = -2*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 408 and 3417528?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - 24 - 116 = -5*k, -3*g - 78 + 1 = -2*k for k.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -6836 greater than or equal to -8740?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -1248100 to the nearest 100000.\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 18543415949 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -85\/88 and 79\/462440.\nAnswer: 462440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 12569 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x**2 + 158875376*x + 158875372 = 0.\nAnswer: -39718843, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -348, 16, -4, -86, 47.\nAnswer: -348, -86, -4, 16, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6.05 - 6. Let z = -1.05 + i. Let f be 3\/4*(70\/(-15))\/(-7). Which is the nearest to z? (a) 3 (b) f (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s*s**6*s*s\/s**(-3\/2))\/(s*s**(-3)\/s*s*s*s\/s**3) assuming s is positive.\nAnswer: s**(29\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/266532 and 101\/108?\nAnswer: 2398788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 + 12054154340?\nAnswer: 12054154332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3059 - -39771\/13. What is f in -2\/13*f + 6\/13*f**2 - x + 2\/13*f**3 - 2\/13*f**4 = 0?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**3 - 172*l**2 + 5581*l + 6523. Determine h(128).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 290141.\nAnswer: 290141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19147, -19138, -19129, -19120, -19111?\nAnswer: -19102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -17 or -1\/30?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 23204*f**4 - f**3 + 24*f - 1358524 wrt f?\nAnswer: 92816*f**3 - 3*f**2 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3248*a**2 - 3277*a**2 + 6568*a**2.\nAnswer: 43*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (57\/12 - 5) + 0 + 0. Suppose -w + 6*w - 1 = 4*u, w + u = -7. Which is the nearest to 1? (a) 2\/9 (b) t (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 100102 + 110?\nAnswer: 100212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.15 in -5, -1\/3, -1, -12, -3\/7?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7734579499 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 3, -2\/185, 0, -4, -0.5?\nAnswer: -2\/185","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70*o - 29*o - 17*o - 23*o.\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (0 + (-3 - -1)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 (base 16) in base 10?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7851 is divided by 2500?\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * -0.049.\nAnswer: -0.196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -57 - -49. Which is the second biggest value? (a) p (b) 1 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (64\/(-48))\/(3 + (-135)\/35). Let x(r) be the third derivative of 0*r - 1\/30*r**5 + 9*r**2 + 0 - 23\/36*r**4 - c*r**3. Find a such that x(a) = 0.\nAnswer: -7, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z + 2. Let j(m) = -2*m**2 - 53*m - 162. Let o be j(-23). Let v be c(o). Is v at least -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 0*n - 1 + 1 + n. Let k(b) = -10*b. Give k(h(q)).\nAnswer: -10*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 37\/2 of a decade?\nAnswer: 2220","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -1875*f + 10605 + 8932 + 6873 - 6*f**2 + 14273. Let p(b) = b**2 + 268*b - 5812. Let y(c) = 27*p(c) + 4*z(c). Let y(a) = 0. Calculate a.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a millisecond in microseconds?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 17*l**2 + 11*l**2 - 37*l**2. Let y = 20 + -14. Let a(r) = 5*r**2. Give y*s(x) + 11*a(x).\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 375\/2*110\/33.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2625*(-294)\/(-20580))\/((-5)\/4)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6\/10 + -2804*2646\/(-135).\nAnswer: 54959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -p**4 + 4*p**4 - p**4 + (-4 + 4 - 2)*(-p**4 + 5*p**4 - 2*p**4).\nAnswer: -2*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:36 AM and 4:36 PM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in j**3 + 30*j - 10*j - 20*j.\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-114)\/27 + 8\/36. Sort 1, 4, 0, l.\nAnswer: l, 0, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 275971?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -50*l - 2 + 10*l + 20*l + 59*l**3 + 22*l + l**2 to w*l + q + i*l**3 + n*l**2 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 529\/1904 + -1028399\/2282896. Let u = v + -1\/109. Sort -5, 3, u in increasing order.\nAnswer: -5, u, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 106 in -1, 167, -9.9, -4?\nAnswer: 167","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -4*r - 7. Let s(x) = x. Let m(y) = 3*s(y) - v(y). Let w(h) be the second derivative of 5*h**3\/2 + 15*h**2\/2 + 2*h. Give -13*m(l) + 6*w(l).\nAnswer: -l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 95 a factor of 54530?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9691 + 16323 = 325*s - 25*s - 5486 for s.\nAnswer: 105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 167099 is divided by 164826?\nAnswer: 2273","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 e, 1 h, and 1 n when four letters picked without replacement from chcthevn.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 83.5767964 to the nearest ten.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 69 - -111. Let s be ((-1)\/(-2))\/((-7)\/1974). Let z = s + w. Is 4 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the third derivative of r**8\/168 + r**5\/6 + 9*r**2. Find the third derivative of p(h) wrt h.\nAnswer: 120*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -7, 2.\nAnswer: -7, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30132514 (base 6) to base 5.\nAnswer: 204231334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -724 + 724 - 310*d**2 to o*d**2 + n + h*d and give o.\nAnswer: -310","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 15*d - 26. What is the remainder when 145 is divided by x(7)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, -0.6, -3.43, -23\/14?\nAnswer: -3.43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*b**2 - 8*b**2 - 9*b**2 - 8*b**2.\nAnswer: -19*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1\/20 - 37\/60. Let z = -14533 + 14538. Which is the biggest value? (a) z (b) -7\/2 (c) -2 (d) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**2 - 32*a - 98. Let w be x(-28). Solve 3*n - 2*k = -n, 5*k = 3*n + w for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the first derivative of c**5\/40 - c**4\/12 - c**3\/12 + c**2\/2 - 126*c - 133. Let b(k) be the first derivative of w(k). Factor b(s).\nAnswer: (s - 2)*(s - 1)*(s + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (32201\/1094834)\/((-2*1)\/(4\/6))\nAnswer: -1\/102","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 3, 1, -5 in descending order.\nAnswer: 6, 3, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 57 and 912.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8\/16*(0 - 0). Suppose w*u - 160 = -5*u. Is 5 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 809835.3l?\nAnswer: 809835300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -17412.99981622 - -17413. What is o rounded to 6 decimal places?\nAnswer: 0.000184","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -5*r + 109, 114 = 5*r + 6*s - 2*s. What is the remainder when 63 is divided by r?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8*r*x**3 - r*x + 100*x**3 wrt r.\nAnswer: 8*x**3 - x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -d + 2*z, -d + 26 = -7*d - 4*z for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -27*z - 4. Let q(i) = -28*i - 3. Let d(t) = -4*q(t) + 3*x(t). Let o(l) be the third derivative of 1\/24*l**4 + 0*l**3 + l + 0 + 5*l**2. Give d(o(k)).\nAnswer: 31*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*j**3 + 62281875*j**2 - 5*j - 62281875 = 0. Calculate j.\nAnswer: -12456375, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6725628 divided by -43113.\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:48 PM and 10:43 PM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 126366, -2\/7, 0, 4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -233 + 211. Let g = c - -387. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 209339298 divided by -29905614.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -822 (base 13) to base 9.\nAnswer: -1803","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/2*d**4 + 27\/2*d**3 - 30*d + 0 - 18*d**2.\nAnswer: 3*d*(d - 2)*(d + 1)*(d + 10)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -8*p - 50. Is g(-13) a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -64*l**5 - 1789216*l**4 + 13425852*l**3 + 87587136*l**2 + 108724032*l = 0.\nAnswer: -27964, -9\/4, 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68 is divided by 49.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -86.0572 - -0.3822. Round t to 0 decimal places.\nAnswer: -86","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17524*m - 67843*m - 26573*m - 44085*m.\nAnswer: -120977*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 4*c - 628 = 1464, -2*c + 2074 = 4*q. Is q a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 435 - 219 + 8*v**4 + 25*v - 216 wrt v?\nAnswer: 96*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**2 + 3*l - 83. Let f be m(8). Suppose 5*g = 4*h + 13, -5*h + 3*g + g - f = 0. Let -8\/3*s**h + 4*s**2 - 8\/3*s + 2\/3*s**4 + 2\/3 = 0. Calculate s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4 - 4\/(2\/(-1)). Suppose -k = -n*k + 30. Find the second derivative of 2*t**4 + 0*t + 6*t**4 - k*t wrt t.\nAnswer: 96*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 7044*x + 35222. Determine f(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -12 - -10416?\nAnswer: 10404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1224621 (base 8) in base 5?\nAnswer: 41311241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -22365.364 to the nearest 100.\nAnswer: -22400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 34*s**2\/7 + 1290*s\/7 + 1184\/7.\nAnswer: 2*(s + 37)*(17*s + 16)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**3 + 9*u**2 + 5. Suppose -b + 10 = c + 2*c, -2*c = 2*b - 36. Let r = b + -13. Let t be x(r). Solve 0 = t*k - 4 + 19 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - 24 = -5*s - 44, 3*i = -3*s + 12 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 86 (base 11) to base 4.\nAnswer: 1132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/5 of a litre in millilitres?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h - h = 20. What is the highest common divisor of 9 and h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -532, -866, -1200, -1534, -1868, -2202?\nAnswer: -2536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and -26801.\nAnswer: -53602","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -704.92 to the nearest integer.\nAnswer: -705","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 7 + (21 + -10 - 10) - -1\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*z + 100*z + 32153239 = 113784111. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + (-1368)\/150 + (-17145)\/(-30375).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 3*a = 8, 3*q - 3*a + 0*a - 18 = 0. Let k(b) = -b. Let n be k(q). Let i(y) = 4*y + 5. Let m(r) = -6*r - 8. Determine n*m(u) - 8*i(u).\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -6 + (0 + 2 - 0)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 111*p = 132*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Total of 11.3 and 337650914.\nAnswer: 337650925.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4400959 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22296142 is divided by 11?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 90 and 20990?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9568?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 9 - 93693*l**3 + 93688*l**3 - 3*l**2 to k + b*l**2 + v*l + h*l**3 and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 64 and 1504.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 760322?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**2 + 9*t - 10. Let v = -188 + 191. What is the lowest common multiple of v and x(7)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/(-11 - (-50)\/5).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -4*v**3 + 20*v**2 + 2*v - 17. Give i(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18564?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - -148 - (48 + 95 - 130).\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.92 + 8846.\nAnswer: 8846.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2101102020020 (base 3) to base 15.\nAnswer: 1a0a19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes after 7:20 PM?\nAnswer: 8:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83 is divided by 66?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 170 smaller than -289\/562?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 2*k**2 + 39*k + 16. Calculate z(-19).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is bc72 - 2?\nAnswer: bc70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/7? (a) 54 (b) 9\/5 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 22.0078 - 22. What is y rounded to 3 dps?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1571, -1580, -1595, -1616?\n\"Answer: -3*k**2 - 1568","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-1 + sqrt(175)).\nAnswer: -3 + 15*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_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: Let d(r) = r**3 - 15*r**2 - 31*r - 48. Let c be d(17). Find the second derivative of 205*u**3 - 2*u + c*u + 3*u wrt u.\nAnswer: 1230*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 249822\/95 - 359730397\/136420. Let l be 100\/5385*6\/(-5). Let p = l + t. Calculate the common denominator of 21\/4 and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 622 divide 1357204?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 8 = -4. Let f = 3 + d. Let z be -2 - (-1 - (-1 - f)). Sort z, 4, -1 in decreasing order.\nAnswer: 4, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b - 13 - 7. Let z be (-2)\/4 - b\/2. Suppose 0*t - z = t. Which is smaller: -4 or t?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 29 + 6 + -11 + 12\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 20 = 2*k. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 12 = y, 8 = 3*y + w + 4*w. Let h be y*2\/(-4)*-3. Solve -4*z - 11 = h for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8621 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 151 divide 755775?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the first derivative of -p**3\/3 + 3*p**2 - 3*p - 1. Suppose -3*h = -17 - 1. What is l(h)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j + 2. Let o be (-28)\/(-42) - ((-2)\/(-6))\/j. Which is greater: o or 1\/112?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (45 + 2 - (0 - -1) - (157 + -159)) + 0\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15822 and 243.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 27 + 30 - 43 - 11*b. What are the prime factors of m(-10)?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l - 49 = -9*n, -4*n = -l - 45227 + 45231 for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*b**2 + 265 - 88 - 4*b - 94 - 85 as u + t*b**2 + m*b and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4608 (base 11) to base 6.\nAnswer: -44014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -10\/11 (b) 5 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13089 divided by -16951.\nAnswer: -13089\/16951","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:51 AM and 1:27 PM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 10 - (10 - (14 - -68)). Which is the nearest to 4? (a) 3\/4 (b) -2\/9 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g and 1 f when four letters picked without replacement from fyffgyfgfyyfffgfff?\nAnswer: 11\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + 32 = 4*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.074 and -2\/21 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 181951982.2 + 0.015657\nAnswer: 181951982.215657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-20))\/((84\/5)\/(-14)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 274731 is divided by 380.\nAnswer: 371","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (((-27)\/(-2))\/(-3))\/(36\/(-24)). Solve 8*q = z + 29 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 33022, 66033, 99044?\nAnswer: 132055","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - (5 - 3)) + -22 + 57 + (-1 - 2).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -144389*c + 4*c**4 - 17 + 144406*c - 5*c**4 + 2*c**2 + 4 to the form o + r*c + v*c**2 + z*c**3 + s*c**4 and give r.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-52*u**2 + 14*u**2 + 14*u**2 + (2 - 5 + 1)*(-3*u**2 + 5*u**2 - u**2) - u + u - 2*u**2 + (-2*u + u + 3*u)*(-2*u - u + 2*u))*(5*u**2 - u**2 - 3*u**2).\nAnswer: -30*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the third derivative of j**7\/1260 - j**5\/180 + 2*j**3\/3 + 4*j**2. Let b(l) be the first derivative of s(l). Factor b(m).\nAnswer: 2*m*(m - 1)*(m + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**2 + 6*k + 1. Let a be w(5). Let f = a - 0. Suppose -90 = -f*u + 3*u. Solve 3*v = -3*b + u, 3*v = 2*v - 4*b + 25 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 8150, 8149, 8148, 8147, 8146, 8145?\n\"Answer: -q + 8151","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (224\/(-84))\/((-176)\/36)?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 74*c**4 + c**3 - 3*c**2 + 7*c - 3*c**2 - 73*c**4 - 9*c to the form p*c**2 + q + o*c**4 + l*c**3 + y*c and give p.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 95706*l**2 - 54499*l wrt l?\nAnswer: 191412","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:06 AM and 12:08 PM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i - 2*k + 14 - 4, -11 = -2*i - 3*k. Differentiate -3*x**i - 4 + 3*x**4 - x**4 + 5*x**4 wrt x.\nAnswer: 16*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3957*t**3 + 9 - 9.\nAnswer: -3957*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-1\/7)*b**4*b*b\/((b\/(b**(4\/7)*b)*b)\/b*b)*b\/(b**(-1)*b) assuming b is positive.\nAnswer: b**(45\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 39\/(-26)*(-10)\/(-15). What is the nearest to d in 2\/5, -0.5, -85?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4+2.423389802\nAnswer: -1.576610198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 31 = -5*r, 115*z + 17 = 5*r + 111*z for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**2 - d. Let t(y) be the second derivative of y**4\/3 - y**3\/6 - y**2 - 25*y. Determine 2*r(j) - t(j).\nAnswer: -2*j**2 - j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -65*g - 18. Calculate the remainder when x(-2) is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 32835 and 6297?\nAnswer: 68920665","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 2 i when four letters picked without replacement from fxooxfoii?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, z: 2, r: 1, k: 1, i: 4, h: 2}. Give prob of sequence ho.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jnnnjttnjjjnjjnnnj. What is prob of picking 2 n and 2 j?\nAnswer: 196\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 7 + 3 + 31*n as g + y*n and give y.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6488857*b - 6260254 wrt b.\nAnswer: 6488857","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 5*o - 7. Let y(x) = -5*x - 4. What is the remainder when y(-1) is divided by o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (362\/(-24))\/((-12)\/(-18)). Let o = a - -851\/24. Calculate the common denominator of -67\/10 and o.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1 = 284\/184931?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 12*q**2 - q**3 + 5*q**2 - 2*q - 7*q**2 - 2*q + 6. Let u be r(9). Suppose -u*g = -48*g - 36. What is the highest common factor of g and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 586*q + 1143. Give j(-2).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3274 - -3301. Let r(t) = t**2 + 4*t - 5. Let y be r(-4). Let f = y + k. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -19.65 + 20. Let l = -1 + 0.95. Let k = l - n. What is the third biggest value in k, -0.1, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 690660 or 690661?\nAnswer: 690660","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -482050*u**2. Let q(y) = -30*y**2. Determine q(f(p)).\nAnswer: -6971166075000*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2112 - 200203331?\nAnswer: -200212103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 3*a = 35 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1\/2174 - -5433\/4348. Let p be (-14)\/21*(-12)\/(-10). Put k, -4, p, 3 in decreasing order.\nAnswer: 3, k, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**(-1\/2)\/t)\/t*t)**(1\/17)\/(t*t**6*t*t*t*t**(-8)))**(1\/35) assuming t is positive.\nAnswer: t**(-71\/1190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5608 and 44.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6743 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.59096 + -0.01004. Let t = -0.625 - u. Round t to 1 dp.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**3 + 4*g**2 - 13*g + 21. Calculate the remainder when r(-5) is divided by 36.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -3*r**4 - 13500*r**3 + 189405*r**2 - 825810*r + 1137528 = 0.\nAnswer: -4514, 3, 4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 508, -5\/12, -0.4, -0.13?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -578*k + 8669. Let n be j(15). Let w be (4\/10)\/(386\/10). Is n > w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((0\/1)\/3)\/(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -270 divided by -90?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15 is divided by 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-3834)\/(-4) - ((-21)\/(-14) - 2).\nAnswer: 7, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**2 + 10*c - 7. Suppose 5*m + 14 = -11. Let o(i) = -i**2 + 7*i - 5. Let t = 34 - 33. Let z = 6 + t. Give m*w(j) + z*o(j).\nAnswer: -2*j**2 - j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**3 + 10*q**2 + 15*q - 15. What is n(11)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -r**2 + 13*r - 33*r - 2*r**2 + 5*r**2.\nAnswer: 2*r**2 - 20*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 434922299 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/2 in -2, -3, 0.675?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*q - q**2 - 4*q)*(-3 + 3 - q) + (-2 + 2 + 5*q)*(-2*q**2 + 5*q**2 - q**2).\nAnswer: 11*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 70 = -26. Let h = w + -44. Suppose a + 5 = 2*a. Solve -h*x - 6 = -2*p, a = 3*p - 2*p - 4*x for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*j**4\/8 - 103203*j**3\/8 + 2784447*j**2\/8 - 5259297*j\/8 + 1289025\/4 = 0. Calculate j.\nAnswer: 1, 25, 34374","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**3\/4 + 1191*k**2\/4 + 82491*k\/4 + 1323297\/4.\nAnswer: -3*(k - 459)*(k + 31)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**2 + 31*t - 1319. Let h be z(-55). Which is the second biggest value? (a) -2.45 (b) h (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -113111130 + 0?\nAnswer: -113111130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6528*j = -6515*j + 26 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91249 is divided by 454.\nAnswer: 449","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23552, -35948, -48340, -60728, -73112?\nAnswer: -85492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 185145?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 134 + -136. Let j be 1 - (x + (-4 - (-20975)\/2995)). Which is smaller: 0 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1532035 (base 8) in base 6?\nAnswer: -13225525","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 38 = 22. Suppose i = -2*x + h, 0*x + 14 = 2*i - x. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - -4 - (-5 + 12 - -1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2891133743 to the nearest integer?\nAnswer: 1425","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 12657, 23668, 31379, 34140, 30301, 18212, -3777, -37316?\n\"Answer: -275*y**3 + 12936*y - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.217 times 88\nAnswer: 19.096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 165841755 to the power of 1\/2, to the nearest integer?\nAnswer: 12878","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1676496513 to the nearest integer?\nAnswer: 1188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 - -2. Find u, given that -2*u**2 + 0*u - 4*u**5 - 3*u + 2*u**3 + 3*u**5 + 2*u + u**o + 1 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**4 - 7*x**3 + 8*x**2 - 2*x + 3. Let i(y) = 2*y**4 - 15*y**3 + 17*y**2 - 4*y + 7. Let w(s) = 3*i(s) - 7*r(s). Find d, given that w(d) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 11a43b66 + -2?\nAnswer: 11a43b64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 4*h - 48 = 0. Let z = h + 15. What is the remainder when z is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56 - 21964*z + 56.\nAnswer: -21964*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 190414553 to the power of 1\/5, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10832 + 10836. Let g(k) = -k + 1. Let l be g(-2). Suppose 5*c - 28 + 78 = 5*b, -b = -l*c - 10. What is the lowest common multiple of p and b?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the second derivative of 0*j**2 + 0 + 29\/12*j**4 + 17\/10*j**5 - 22*j + 0*j**3. What is the third derivative of r(q) wrt q?\nAnswer: 204","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 13 in 5, 2, -4, 0.5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 138 and 6555110.\nAnswer: 452302590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -3*b + 2. Let g(d) = 4*d - 3. Let j(x) = -3*g(x) - 2*y(x). Let t = 10 - 14. Let p be j(t). Solve 5*q + p = -4*u, -3*u = 4*q + 11 + 12 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 4*s = 2*s - 300, -5*c - 361 = -s. Let n = -54 - c. Let k = 18 + n. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by 185.\nAnswer: 6\/185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20 and 72.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 72 = -4*o, -o + 29*q + 50 = 32*q. Calculate the remainder when 569 is divided by o.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (668 - 1327 + 663)*(25 + 9*n - 25) - 3*n + 0*n + 2*n.\nAnswer: 35*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 519457 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(-14)*(-2)\/((-60)\/(-63))\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3 - 2\/(-2))*(-130)\/52. Suppose 0 = -3*w + r + 19. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -75407 and -7.\nAnswer: 527849","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bnnhihhhnhbmnhhhrnhh. Give prob of sequence nhim.\nAnswer: 5\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.2, -0.1, 12\/61, -1\/4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 398677?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the first derivative of -b**3 + 4. Let v(r) = 546*r**2 - 210*r + 105. Let l(i) = 21*i**2 - 8*i + 4. Let d(x) = 105*l(x) - 4*v(x). Determine a(d(c)).\nAnswer: -1323*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 274028, 1096000, 2465844, 4383470, 6848788, 9861708?\nAnswer: 13422140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10100100101 (base 2) to base 15.\nAnswer: -5cc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 36 + 7)*((-i**4 - 2*i**4 + i**4)*(-120 + 8*i + 120) + i**5 - i**5 + i**5 - 2*i**3).\nAnswer: 420*i**5 + 56*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 2*sqrt(48))**2.\nAnswer: -32*sqrt(3) + 196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**3 - 31*f**2 + 26*f + 37. What is k(30)?\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4455110, 4455120, 4455130, 4455140?\nAnswer: 4455150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 665 is divided by 103.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (j + j - 4*j)*(-j + 3 - 3) + 4*j - 3*j**2 - 4*j - 21778*j**2 - 14700*j**2 + 10740*j - 10740*j to p*j + q + n*j**2 and give n.\nAnswer: -36479","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -9*y - 110. List the prime factors of (-2)\/(-5) + -34*159\/y.\nAnswer: 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 3*m = 845671, 2*a - 155*m = -154*m + 422835. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -40*(1 + (-10)\/4). Suppose -6*j = -13*j + 21. Suppose 6*r - r + 5*a - p = 0, r - 32 = j*a. Does 7 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-290)\/145*5\/1.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4454010 + 1?\nAnswer: -4454006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 4*u**2\/3 + 840224*u\/3 + 44123523136\/3 = 0.\nAnswer: -105028","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2\/2459 + -238535\/14754. Calculate the common denominator of n and 67\/36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16860 = 8*r - 17372. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -216 + 217.98. Let l = -9.98 + q. Which is the third smallest value? (a) -2\/9 (b) l (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*c**2 - 261*c + 1380.\nAnswer: -3*(c - 5)*(c + 92)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1 and -657.\nAnswer: -656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 2*n**2 + n - 26. What is the tens digit of m(-10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * -306372\nAnswer: 122548.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 37*d - 6. Let g(a) = 129*a - 21. Let i(l) = 2*g(l) - 7*v(l). Let m = -6 + 0. Let r(z) = -11*z + 2. What is m*i(p) + r(p)?\nAnswer: -5*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 1 - (5 - 3) - 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 147*a**2 - 1801 + 1801.\nAnswer: 147*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the second derivative of d**5\/20 - d**4\/3 - 7*d**2\/2 - 4*d. Let y be u(5). Calculate the highest common divisor of 6 and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 a when two letters picked without replacement from qqqvvpqmapzqqqvaaa?\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 65410173?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-12)*12\/(-9).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.254*-21.\nAnswer: -47.334","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20 and 39835?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-42)\/4*-8*8\/112.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1747 and 0.3.\nAnswer: -524.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -12.8 * -23\nAnswer: 294.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2045710)\/52120 - 106\/(-8).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*t = 2*v - 3*t + 5, -v + 13233*t + 3 = -2*v + 13234*t for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -5*o - 13, -3*o + 5*o - 4 = -5*u. What is the first derivative of 12*t**2 - 30*t**u + 69 - 30*t**2 wrt t?\nAnswer: -96*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -95, -601, -1971, -4637, -9031, -15585, -24731?\n\"Answer: -72*k**3 - 2*k - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, i: 1, s: 1, o: 13, x: 3}. What is prob of sequence pooi?\nAnswer: 13\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(99))**2 + 2*sqrt(33)\/sqrt(3).\nAnswer: 2*sqrt(11) + 99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -13*f**2 - 72*f + 24. Determine r(-9).\nAnswer: -381","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 4, 105, -2, 0 in decreasing order.\nAnswer: 105, 4, 1, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 15*p**2. Let f(u) = 14*u**2 + 8*u + 8. Let h(a) = 5*a**2 + 3*a + 3. Let o(x) = -3*f(x) + 8*h(x). Calculate m(o(z)).\nAnswer: 60*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - d = 17, -i + 3*d - 5 = -3*i. Suppose 15 = i*q - 9. Solve -q*f + f = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1515070805 - 94.\nAnswer: 1515070711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5380 is divided by 39?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 123511 is divided by 225.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/840076040 and 27\/16?\nAnswer: 1680152080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 127\/240 and 74\/16068525?\nAnswer: 257096400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -3*f**2 - 12*f. Let g(o) = -o**2 + o - 1. Let y(i) = -b(i) + 4*g(i). Calculate the least common multiple of 16 and y(14).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/3 (b) 3\/8 (c) 2\/9 (d) 0.1461\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 2*x + 168. Calculate the highest common divisor of x and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 2*f**2 + 8*f - 8. Let j(v) = -v**2 - 2*v + 2. Let z be (2 + -1)*(-3)\/1. Let q be j(z). Let b(u) = u - 1. Let t = 14 + -6. What is q*n(y) + t*b(y)?\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*x = -16*x - 448. Is 8 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and -167.\nAnswer: 668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17*0.54.\nAnswer: -9.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -1533, -0.2, -6 in ascending order.\nAnswer: -1533, -6, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3 and 375.6.\nAnswer: 372.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 9199 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the second derivative of c**5\/4 - c**4\/3 - c**3\/3 - 3*c**2\/2 + 152*c - 8. Let j(k) = -6*k**3 + 5*k**2 + 3*k + 3. What is -2*j(x) - 3*q(x)?\nAnswer: -3*x**3 + 2*x**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 l when two letters picked without replacement from bhllvhbhbblhbhb?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -692*d + 701*d + 216 = 0 for d.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 717 = 291*k + 151*k - 21383 for k.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 213194697 to the nearest integer?\nAnswer: 597","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7\/366 + -19433\/1830. What is the common denominator of f and -47\/4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 8*i**3 - 8*i**2 + 2*i. Let o be b(3). What is the highest common divisor of o and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 21\/82808 and -11\/45168.\nAnswer: 496848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*w - 358 + 1190. Let h = w - -85. Solve 6 - h = 3*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8 and 260.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 129.39 + 7.61. Sort 2, c, -0.1 in increasing order.\nAnswer: -0.1, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = 3*q - 117, -2*q - 2*q + 5*g + 156 = 0. What is the remainder when q is divided by 2 - (0 + 3 + -4) - -11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1\/3 - 166\/(-6) is divided by ((-10)\/6)\/((-4)\/36)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ebeapah. What is prob of picking 1 e and 1 p?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**17\/(m\/m**(-4\/3)))**(34\/7))**(4\/3) assuming m is positive.\nAnswer: m**(5984\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 125750 greater than 125752?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 3\/5 of a second?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 0*c + 5*c = 15, 5*a - c = -3. Solve a = 2*r + r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**3 - 194*c**2 - 13*c + 2675. What is i(194)?\nAnswer: 153","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(4*1*(sqrt(7) - sqrt(14)\/sqrt(2)) + 4 + 0 + sqrt(7)*-2)**2 + -1.\nAnswer: -133 + 48*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*l - 6*l - 3*i - 20, -4*l + 5*i = -12 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 203.76 - 0.76. Let t = n - 198. Which is the closest to 2? (a) 7\/6 (b) 3 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.00867+1026\nAnswer: 1025.99133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (13\/(-2) + 3)*2. Let r(g) = g**3 + 8*g**2 + 6*g - 7. Give r(v).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 5*i**5 - 4290*i**4 - 181415*i**3 + 1634820*i**2 - 4449420*i + 3879360 = 0.\nAnswer: -48, 2, 3, 898","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**3 + 6*z**2 - 19*z + 103. Calculate r(6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.41, 0, -8193691?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 223228139 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 3*c + 30 = 0. What is the remainder when 11 is divided by c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b - n + 7 - 0, -3*n = -2*b + 19. Let z be (b\/(-20) - -1)\/((-3)\/24). Let g(v) = -31*v + 17. What is the tens digit of g(z)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67 is divided by 27?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -15, 5, 24, -726, 4 in decreasing order.\nAnswer: 24, 5, 4, -5, -15, -726","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18421985 is divided by 9.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**0)**(-26\/3))**(-6\/13)*(h**3*h**(-4))\/(h\/h**(-1\/3)*h*h)**(-48) assuming h is positive.\nAnswer: h**159","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + -16)*(15 - 16)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-31)\/(-2 + (-30)\/(-21)). Let v = a + -951\/20. Find the common denominator of 41\/12 and v.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2061 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -123 divided by 41?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -3*l**4 - 306*l**3 + 68997*l**2 = 0.\nAnswer: -211, 0, 109","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40373 = -12*m + 26923. List the prime factors of m.\nAnswer: 2, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 294, 302, 310, 318?\n\"Answer: 8*u + 286","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 22587 rounded to the nearest one thousand?\nAnswer: 23000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1560 and 9119175?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 321021212 (base 4) in base 14?\nAnswer: 61446","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = z - 2*z. Suppose -z*i + 2*i = -22. Solve k + 0*k = 3*y + i, 15 = 3*k for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s = -3*n - 27, -14*s + 12*s + 14 = 2*n for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*(((m\/m**(4\/13)*m)\/m)\/m)\/m)\/m**30 assuming m is positive.\nAnswer: m**(-394\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*j**3 + j**3 + 0*j**3)*(-2*j + 3*j + 0*j)*(-4 + 4 - 2) - 9*j**4 + j**4 + 2*j**4 to the form n*j**4 + i*j + l*j**2 + h + v*j**3 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 538 divide 578983332?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -526891*o**2 - 2*o + 2093101.\nAnswer: -1053782*o - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -331*h = -472*h + 274*h - 5320 for h.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -95*s - 5*s**3 - 104*s**2 + 218*s - 123*s.\nAnswer: -5*s**3 - 104*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 970818 is divided by 46228?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 46 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put together -7482.98213 and -94.5.\nAnswer: -7577.48213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(1 + sqrt(243)\/(6*sqrt(9)*-1)))**2 + 3.\nAnswer: -sqrt(3) + 19\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 5 = 3*i, -6*d = -4*d + 2. Let y(a) = a**3 + 3*a**2 + 2*a + 2. Let m be y(i). Let g be (-6)\/m*4\/(-12). Which is smaller: g or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*u - 611 = -143. What is the remainder when 211 is divided by u?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-488)\/60 - (-5 - 3).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1614 by 6.\nAnswer: -269","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 10739 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: Put 3, 73, 60807 in descending order.\nAnswer: 60807, 73, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*(-2)\/(10\/(20\/(-4)))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**3 + 15*p**2 - 14*p - 2. Let t be u(14). Suppose -283*i + 273*i + 30 = 0. Which is the closest to i? (a) -2\/5 (b) -0.2 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gi when two letters picked without replacement from {g: 6, i: 13}?\nAnswer: 13\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.661 + -0.837. Let s = -0.276 - z. Which is the closest to s? (a) 3 (b) -1 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 + (4 - 17) - 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 512*r - 510*r. Let m be (r\/10)\/(5\/(-25)). Factor 0 + 5\/2*s + 1\/2*s**m.\nAnswer: s*(s + 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 - 2 - (15 - (39 - 29))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5175 - -7451. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 5*g - 23 = 0, 2*i + 13 = 4*i + 3*g. Suppose h = 5*u + 75, -4 = -i*u - 2. Does 23 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 17541 to the nearest one thousand.\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000010001010001 + -110011?\nAnswer: -1000010010000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 2 l when four letters picked without replacement from lbbllrlllrbrrrxlbrpp.\nAnswer: 21\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1733*w**4 - 993*w**2.\nAnswer: 41592*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0.3, 0.163, -0.2, -7 in ascending order.\nAnswer: -7, -0.2, 0.163, 0.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-192)\/765 - 36\/(-306))*-15. Calculate the highest common divisor of h and 1726.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2605 to the power of 1\/2, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 4*r + 11. Let f be ((-9)\/6)\/(-3)*10. Let u(x) = -f + x - x - 2*x. Let z(g) = 4*l(g) + 9*u(g). What is the first derivative of z(w) wrt w?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -d*p**2*x**2 - 2*d*x**4 + 2*d*x**2 - 2*p**2*x**3 + 10*p*x**2 + 29*x**4 wrt x?\nAnswer: -48*d*x - 12*p**2 + 696*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 17 = n, 6*n + 100 = 11*n - 5*l. Calculate the remainder when 660 is divided by n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 197339 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -1, 0.7, 5 in increasing order.\nAnswer: -8, -1, 0.7, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3495\/13 + 269. What is the closest to -0.1 in 2\/7, -4\/3, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**2 + 19. Let b(r) = 166590*r. Determine b(w(u)).\nAnswer: 166590*u**2 + 3165210","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y = 4*d + 2, -3*d + 2 = -y + 11 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -3*d**5 + 333*d**4 - 969*d**3 - 333*d**2 + 972*d = 0.\nAnswer: -1, 0, 1, 3, 108","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 50428 and 1680?\nAnswer: 3025680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 10\/2 + (-4 - -6). Let l be (2 - 2) + -4 + n. Let 0*s**4 + s**l + s**3 + 2*s**4 - 4*s**4 = 0. What is s?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1635050, -3270102, -4905154, -6540206?\nAnswer: -8175258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 3*i = -57, 0 = d - i - 3*i. Solve -3*c + 6*a = 3*a - 9, 4*c - d = -2*a for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 2*f = 870. Does 29 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 139192 and 254?\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (100\/(-550))\/(4\/(-22)). Which is the closest to h? (a) 0.4 (b) 47.9 (c) -1 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 3 g when four letters picked without replacement from iiigigiiiiiiigi?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*d + 0)*(54 - 124 - 59)*(1 - 2*d - 1)*(-2*d**2 + 2*d**2 + 2*d**2).\nAnswer: 1032*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, p: 2, z: 3, s: 1, j: 3, x: 1}. Give prob of picking 1 x and 1 p.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 681*b - 346*b - 350*b + 130 = -545 for b.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -19845 + 19859. Calculate the highest common factor of a and 8267.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -9, 0, -0.035, -0.08, 2?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 48*x - 47*x - 26396 = 0, 15 = 3*x. Does 49 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.1 or 86.9?\nAnswer: 86.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aepok. Give prob of sequence aaae.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 - ((-4000)\/6)\/4. Let t = l - 168. Which is the biggest value? (a) -2 (b) -39 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -217 + -2557?\nAnswer: -2773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 1083, 36, 2, 1966 in ascending order.\nAnswer: 2, 36, 1083, 1966","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7*h**2 - 17*h**2 + 5*h**2)*(h - 2*h + 0*h)*(3 + 1 - 6) in the form j*h + a*h**2 + p*h**3 + c and give p.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 18\/5 of a microgram?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -539*w. Let y(c) = -2*c. Determine y(f(o)).\nAnswer: 1078*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 36*m - 215. Give j(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.5, -66, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23819671?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 157*o**3 - 2*o**4 - 87*o**2 - o - 78*o**3 - 77*o**3 to z*o**2 + c*o + u*o**3 + a*o**4 + s and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*y**4\/5 + 42591*y**3\/5 - 212886*y**2\/5 + 85128*y\/5 + 340608\/5 = 0. Calculate y.\nAnswer: -1, 2, 4, 14192","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5424 - 5261. Solve 0 = 3*k - d + 166 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1417 and 2457.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(275) - sqrt(11)) + -1 + (4*sqrt(44) + sqrt(44))\/sqrt(4) + 0)**2.\nAnswer: -36*sqrt(11) + 895","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1070, -1102, -1120, -1118, -1090, -1030, -932, -790?\n\"Answer: h**3 + h**2 - 42*h - 1030","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 - -2)\/((-5)\/5). What is the second smallest value in o, 1\/6, 4\/7?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16858?\nAnswer: 2, 8429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*l**2 + 7*l**2 - 14*l**2 + 24*l**2.\nAnswer: 20*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**3 + 5*g**2 + g - 5. Let p = -18 + 43. Suppose 4*f + f - t = 15, -3*f + 4*t - 8 = 0. Suppose z = -f*z + p. What is c(z)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -23 + (-11 - -9) + 28.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-26)\/494*4\/8)\/(6\/48)?\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 664396\/5 (b) 1 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 + -23133?\nAnswer: -23210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 355203843.\nAnswer: 3, 103, 1149527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*s = -20*s + 4 - 76 for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fffffffgfgfffgffff. Give prob of picking 2 f and 2 g.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a millimeter in micrometers?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/8, -11, 1.2, -28, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35 is divided by 22?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 148 a factor of 10653780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.13 * -536.\nAnswer: 69.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.48 - 0.08. Let y = 1.3 + g. Let m = -0.16 - y. Which is the biggest value? (a) m (b) -5 (c) -2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9562 is divided by 1802.\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s**2 - s**2 + s**2)*(-5*s + 6*s + 10*s).\nAnswer: -33*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -358166, -1433025, -3224472, -5732519, -8957178, -12898461, -17556380, -22930947?\nAnswer: -29022174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 39*x - 2 + 2 - 11*x. Let z(u) be the first derivative of -2*u**3 - 39104. Determine z(o(f)).\nAnswer: -4704*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*i = -5 + 12 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 390703 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-108)*-18*28.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 46\/5 of a litre in millilitres?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5889, -2, -5 in ascending order.\nAnswer: -5889, -5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*w - 52*w = -t - 39730, -2*w - 3*t + 26494 = 0. List the prime factors of w.\nAnswer: 2, 7, 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 78, 171, 262, 351, 438?\n\"Answer: -m**2 + 96*m - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 35785 + -240985. What is v rounded to the nearest 10000?\nAnswer: -210000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10 - 8. Suppose -v*p - 3*p + 55 = 0. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -57.5 + 58. What is the nearest to -11 in s, -5, -6\/11?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(24)\/(sqrt(24)\/sqrt(2)) + -1 - (-5 + (sqrt(2)*-2)**2)*4 - (sqrt(10)\/(sqrt(55)\/(sqrt(11)*-1)) + (sqrt(162) - (sqrt(162) + -1 + sqrt(162) + -1))**2).\nAnswer: -179 + 38*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -13 - -24857?\nAnswer: 24844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the third derivative of c**6\/120 + c**5\/6 - c**4\/12 - 5*c**3\/6 - 2*c**2. Let s be z(-10). Calculate the greatest common divisor of 15 and s.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -14 smaller than -12.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, u: 1, w: 2, n: 1, y: 2}. Give prob of sequence ny.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 173*g - 4. Let m(k) = 778*k - 18. Let y(l) = 2*m(l) - 9*q(l). Let v(x) = -673*x**2. Determine y(v(z)).\nAnswer: 673*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 12 = 3*f. Let q = -12 + 6. Let r = f - q. Solve -2*h = -3*p - 4, 3*h = r*p - 5*p - 7 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37172 + 43653 + 24007 = -1405*u - 48192 for u.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 2*m**3 - 3*m**2 + m - 2. Let t = 5 - 1. Suppose t*r = r + 6, -g + 5*r = 8. Determine y(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the first derivative of -29*p**5 - p**3\/3 + 785*p**2\/2 + 139. What is the second derivative of j(x) wrt x?\nAnswer: -1740*x**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-16)\/(-8) + 244\/(-226). Let s = -9805\/3164 + j. What is the common denominator of -21\/4 and s?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 0*j**2 + 2 + 19*j**2 - 18*j**2.\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5067 + 5070. Let q(g) = -g**3 + 4*g**2 + 3. Let r be q(4). Let n be (r\/(6\/46))\/1. Solve 4*m - n = -x for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.6 - 0.54. Let j = g + -1.06. Which is the nearest to j? (a) -1\/3 (b) -1\/2 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 25 - 13. Suppose -5*z + 4 = -4*n, 4*z - 5*n + s = 2*z. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8649*o - 8657*o = 40 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.000751295 from 0.0652.\nAnswer: 0.065951295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42506 is divided by 28?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 157119?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f - 18. Calculate w(6).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fofhowgoonwf. What is prob of picking 1 w, 1 f, and 1 o?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8*12.93.\nAnswer: -103.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-19 - -11 - -12) + (5 - 4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01618 to 2 dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -254 + 261. Solve -f*u = -26 - 2 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:17 AM and 6:59 AM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are -1935295\/4 and -483824 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -165*p**3 + 2976*p**2 - 13473*p + 486 = 0. What is p?\nAnswer: 2\/55, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**3 - 7*x**2 + 81*x - 63. Give k(4).\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*o - 137 - 43. Let n(c) = c**3 - 18*c**2 + 19*c - 16. Is n(o) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/11 (b) 2\/693 (c) 11\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 4*k**2 + 5*k - 7. Let r(m) = -5*m**2 - 8*m + 12. Let b(l) = l**2 - l + 2. Let o(d) = 2*b(d) - 2*r(d). Give 17*f(z) - 6*o(z).\nAnswer: -4*z**2 + z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1677004 to the nearest integer?\nAnswer: 1295","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 496 and 806?\nAnswer: 6448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2052606458 to 6 decimal places.\nAnswer: -0.205261","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9272072 divided by -14671.\nAnswer: -632","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -425 = -2*s - 5*g - 413, -2*s - 4*g = -12 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3 - 3)\/(20\/(-4)). Let o(b) be the first derivative of 1\/2*b**2 + i*b + 1\/8*b**4 + 1\/2*b**3 - 5. Factor o(r).\nAnswer: r*(r + 1)*(r + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 3*i + 4*z, -7*i - 5*z = -3*i - 9. Let x(t) = 7*t + 23. Let q be x(i). Is (-16)\/(-72)*9 - q*319 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:38 PM and 10:01 PM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -2*m - 142. Let y(p) = -22*p**2. What is s(y(w))?\nAnswer: 44*w**2 - 142","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (63 - (5 - (14 - (14 - -4)))) + 8?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -379*g - 3*i + 14 = -380*g, 3*g - 3*i + 42 = 0 for g.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -19*a - 1166. Give h(-59).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 + -1a39?\nAnswer: -1a41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 12*t + 117. Let h(b) = 3*b + 26. Let i(w) = -9*h(w) + 2*p(w). Let m(v) be the second derivative of v**4\/3 - v. What is i(m(s))?\nAnswer: -12*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 4*a**2 - 3. Let u(g) = -5*g**2 + 4. Let i(b) = -3*u(b) - 4*v(b). Suppose -1 = 3*k - 4. Let q be ((0\/(-1))\/k)\/(-1). Give i(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 103970 is divided by 34042?\nAnswer: 1844","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 4*j - 38. Suppose 2*k - 6 + 27 = m, 2*m = -4*k + 2. Let i be b(m). Solve 0 = -2*y - y + i for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 - -119114273?\nAnswer: 119114272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 b, and 1 o when three letters picked without replacement from bmofsom?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**0*a**(5\/4)*a*a**(-7)\/(a\/a**(1\/6)))\/((a**(-1\/2))**(2\/9)*a**(-5\/3)*a**(2\/7)) assuming a is positive.\nAnswer: a**(-1031\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + 1 + sqrt(832) - (sqrt(832) + -3 + -3))*-2 + 4)**2.\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -138 + 623. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:47 PM and 7:15 AM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.7 - -0.36. Round q to 1 dp.\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -9*k**2 + 4*k. Let v be 2\/14*4 + (-1248)\/(-364). Let x(q) = 8*q**2 - 5*q. What is v*x(w) + 5*u(w)?\nAnswer: -13*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -q + d - 0, -2*q - 3*d = -21. Calculate the smallest common multiple of 44 and q.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*p - 140 = -22*p. Calculate the least common multiple of p and 18.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2832, -2460, -2088, -1716?\nAnswer: -1344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -89 + 109. Calculate the remainder when 3599 is divided by y.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 322361 divided by -6\nAnswer: -322361\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 81420843.\nAnswer: 3, 7, 127, 30529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the second derivative of u**5\/20 - 5*u**4\/12 - 5*u**3\/6 - 2*u**2 - 2*u + 19. Give q(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:03 AM and 8:41 AM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23057*h**2 + 7686*h**2 + 7687*h**2 + 7686*h**2.\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 6*4*3\/(-36)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002001308 rounded to 7 decimal places?\nAnswer: -0.0002001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 4 = -4*q, -4*q + 76 = -3*s. Let i = 197282 - 197284. What is the nearest to s in i, -0.4, 0.1, -0.2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1177?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 16136673\nAnswer: 2\/16136673","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -3*i - 130. Let v(s) = -7*s - 260. Give -9*c(h) + 4*v(h).\nAnswer: -h + 130","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12 + 15. What are the prime factors of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14.62 - 1.62. Which is the third smallest value? (a) 0.3 (b) -5 (c) 5 (d) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 divided by 658?\nAnswer: 10\/329","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 4*p - 3. Let a be r(2). Suppose -3*m + a*g = -7, 3*m - 3*g - 4 = m. List the prime factors of (1\/(-5))\/(m\/25).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 4*r**2 - 18*r + 12. Let k = 35 + -29. What are the prime factors of i(k)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5 - 6\/(-14)*-7. What is the remainder when (-45)\/((-10)\/i) + 263 is divided by 53?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46301 to the power of 1\/3, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 41926148 to the power of 1\/3, to the nearest integer?\nAnswer: 347","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the third derivative of -v**4\/24 - 6*v**2. Let m(u) = -25*u. What is m(t(f))?\nAnswer: 25*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 260 and 80.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-810)\/108*38\/(-3). Calculate the highest common divisor of i and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*m + 36*m = 18 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-18)\/(-4) - 8\/2. Let v(q) be the first derivative of 0*q**5 + 0*q + 2 + 0*q**3 - c*q**2 + 1\/2*q**4 - 1\/6*q**6. Suppose v(h) = 0. What is h?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 2*d + 2833 = -0*c, 0 = -4*c + 5*d + 11397. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 189*y**3 + 2*y**2 + 2*y + 8. Let k(g) = 378*g**3 + 5*g**2 + 5*g + 18. Calculate -2*k(n) + 5*l(n).\nAnswer: 189*n**3 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 s when two letters picked without replacement from {v: 4, e: 2, s: 4}?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -188 + 188. Let h = 0.04 - -0.46. Which is the closest to w? (a) -0.2 (b) -4 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1781 is divided by 39?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 182093 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes after 7:22 AM?\nAnswer: 7:09 PM","meta":{"dup_signals":{},"source":"measurement__time_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: Solve -3*t = -s + 5, t - 5 = 246096*s - 246097*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1894 (base 13) to base 9\nAnswer: -5027","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*u**2 + 4*u**2 - u**2 + (0*u - 3*u + u)*(0*u + 0*u - u) - 5*u**2 + 2*u**2 + 5*u**2 - 4 + 4 - 3*u**2.\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - ((-11 - -8) + -5 + 24).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 4*z**3 - 26*z**2 - 11*z - 7. Let x be q(7). Solve -49 + x = 7*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*d - 12*d = 3*y, -4*y = -2*d + 10 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -1 - 25. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -33*f*l**2*u - 165*f*u + l**4*u - l**4 wrt l?\nAnswer: -66*f*l*u + 4*l**3*u - 4*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 84*h**2 - 16*h - 16. Let y(f) = -28*f**2 + 5*f + 5. Give -5*g(q) - 16*y(q).\nAnswer: 28*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -5*b - 154. Determine i(-30).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*o**4*t + 89*o**3*t**2 - 2*t**2 + 1007*t wrt o?\nAnswer: 16*o**3*t + 267*o**2*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**2 + 16*y - 15. Let l be j(-17). Put -1, l, 4 in increasing order.\nAnswer: -1, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrlrlr. Give prob of sequence llrr.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(((q\/q**0)\/q)\/q))**33)**(-9)*(q**(-1))**(-1\/6)\/(q**(-7)\/q**(5\/6)) assuming q is positive.\nAnswer: q**(-586)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + r + 801 = 821, 2*u + 26 = -2*r for u.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 2.4 times 6.676\nAnswer: 16.0224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9289.\nAnswer: 7, 1327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -2*w + 2*w + w + 11 - 2*w. Give z(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 8*k. Let d(u) be the third derivative of -u**4\/6 - 12*u**2. Calculate z(d(j)).\nAnswer: -32*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 14*i - 10*i - 4 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 86 + -46. Let l = q - 41. What is the closest to 0 in l, 3, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -5*m - 32. Let y be m + 9 + (-1 - -8). Let f(x) = x - 6. Let p be f(y). Solve 3*q - 4*q = -p*b + 8, -b + 13 = -5*q for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 123999746?\nAnswer: 2, 13, 2039, 2339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the third derivative of 5*c**5\/12 + c**3\/6 - 2*c**2. Let v be y(1). What are the prime factors of v\/8 + (-3)\/12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3817*z - 4949*z + 262865 - 81192 + 98839 for z.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.066 + -32282.324.\nAnswer: -32282.258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/40 and -53\/88.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*m + m + m)*(50*m - 8*m - 15*m) - 6*m**2 + 24 - 24 to f*m + j*m**2 + c and give j.\nAnswer: 129","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -16.1 * 631.\nAnswer: -10159.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 54\/(-39)*388\/5820 - 4\/13\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**2 - 4*j. Let k be u(3). Let g = 4 + k. Do g and 3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59557579.\nAnswer: 17, 101, 34687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -7*a - 2. Let d(r) = 13*r + 3. Let v(q) = 6*d(q) + 11*t(q). Let z be v(6). Solve 3*y - 7*k + 14 = -z*k, -k = -y - 4 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43919 is divided by 2262.\nAnswer: 941","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 401\/10, -13, -1\/4, 1, 5, 21?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*b**3 + 325*b**2 + 260*b - 85 = 0.\nAnswer: -1, 1\/4, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 206692990?\nAnswer: 2, 5, 7, 67, 44071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1411*n**5 - 1296*n**4 - 16846531*n wrt n?\nAnswer: 28220*n**3 - 15552*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-44)\/10)\/((-201)\/(-3015))?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*q - 5*v = 4*q + 17, -v - 7 = -4*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 2*i**2 - 17*i - 171. Let f be u(-6). Suppose -3*m**2 - 3\/2 + 4*m + 0*m**f + 1\/2*m**4 = 0. What is m?\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00033628837 to 7 dps.\nAnswer: 0.0003363","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-108)\/(-270))\/((-2)\/4*(-64)\/(-20))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x. Let v be c(-3). Let y(n) = -2*n - n + v + 2*n**2 - n. Is y(-4) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 26 and 42.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kqhqqkhh. What is prob of picking 1 q and 1 h?\nAnswer: 9\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 136, -490, -2706, -7340, -15220?\nAnswer: -27174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the second derivative of -o**5\/3 - o**4\/3 + 5*o**2 - 3*o. Let s(m) be the first derivative of y(m). Let s(i) = 0. Calculate i.\nAnswer: -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2122, 8452, 19002, 33772, 52762, 75972?\nAnswer: 103402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 40 + -40.4. What is the nearest to 2 in -5, p, -4\/7?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3551 - 2340. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2*c - 3)*((12 - 10 - 6)*(0*c + 2*c - c) - 2654 + 2654 + 27*c).\nAnswer: 46*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2547, 5088, 7629, 10170, 12711?\n\"Answer: 2541*x + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14, 197, 712, 1727, 3410, 5929?\nAnswer: 9452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - 5*u + 5*v = 52, 2*v = -3*u + 104. Suppose -u*m = -14*m. Solve 14 = -b - 5*j, 4*b + 3*j = -m*j - 22 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1709 times 2\nAnswer: -3418","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 16 = -28. Solve -6 = -2*b, -5 = -n - 4*b + u for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 460888.5 - 441519.79. Let a = 19224 - i. Let y = -146 - a. Round y to 1 dp.\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**3 - 6*t**2 + 7*t - 6. Let h be n(5). Suppose 0 = -5*l - 3*l + 8. Suppose -2*m = h*c - 52, 5*c - l - 51 = 4*m. Does 4 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -23 - -27. Suppose g = u, -12 = g - 0*g - n*u. Suppose -4*l - 2*l = -g*l. Solve 3*f + l*f = 9 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*b**2 - 32651795*b*i - 216334*i - 86 with respect to b.\nAnswer: 4*b - 32651795*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (10\/(-15))\/(4\/30). Let v(a) = -a**3 - a**2 + a + 2. Is v(s) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (30\/(-8))\/((-4565)\/(-21912))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - -12) + 16 + -7 - -2.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 5*t. Suppose -o + g - 3 = t, -o - 5*g + 1 + 2 = 0. Which is bigger: o or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76 is divided by 21.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50 divided by 1.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -2*t + 1. Suppose 2*h = 6*h + 4*k + 20, 4*k = -16. Let w be b(h). What is the first derivative of 6 + w*o - 3*o + o**2 wrt o?\nAnswer: 2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19579979?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zwwvlwwi. What is prob of picking 1 w and 1 v?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 301323 and 1771?\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*i**3 + 3*i**3 + 3*i**3 + (293 - 293 - 123*i)*(-1 + 1 - i**2).\nAnswer: 124*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(3\/17)*d)**(6\/5)\/(d*d**31)**(2\/41) assuming d is positive.\nAnswer: d**(3662\/3485)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g**3\/5 + 78799*g**2\/5 = 0. What is g?\nAnswer: 0, 78799","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the first derivative of -90*x**2 - x + 3. Is m(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3200035278.99999532 + -3200035406. Let u = -127 - a. What is u rounded to six dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.014 - -66.014. Let z = 65.63 - h. Let m = z + -0.03. Which is the second biggest value? (a) 2 (b) m (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 170 = -24*g - 10*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -295*f + 1793. Let z be k(6). Calculate the greatest common factor of z and 1357.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*0.0159058.\nAnswer: 0.0159058","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -5*h + 13. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 101111011100010 (base 2) to base 14\nAnswer: 8bd0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**3 - 4*m**2 + 3. Let t be x(3). Let a(q) be the third derivative of 0*q - 7\/6*q**3 - 12*q**2 - 1\/60*q**5 + 0 - 1\/4*q**4. Calculate a(t).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e when three letters picked without replacement from {u: 6, s: 4, e: 7}?\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 492?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -736 - -299. Let t = z + 436.9761. What is t rounded to 3 decimal places?\nAnswer: -0.024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 6*g = 20. Suppose -416 = -19*j + 287. What is the remainder when j is divided by g?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8202185463 to the power of 1\/8, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -1083*l - 17067. Give x(-13).\nAnswer: -2988","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 199, 390, 595, 820, 1071, 1354?\nAnswer: 1675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13 and 637?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence klx when three letters picked without replacement from lltxxxktx?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1b276b + 167?\nAnswer: -1b2604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 327813768 and 198.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19 + 8 + (-5 - -6).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (10170\/1356)\/(45\/(-444))\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3\/5, 0.01, 12\/637, -38?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5801 - 5764. What is the remainder when 479 is divided by k?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*m - 180 = -120. Suppose m*a + 54 = 108. Let p(i) = -i**3 + 9*i**2 + 2*i - 18. Give p(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0012181 rounded to 5 decimal places?\nAnswer: 0.00122","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - 18 = 4*i, -4*b + 8*b - 2*i - 34 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 4445, 10724, 17017, 23330, 29669, 36040?\n\"Answer: m**3 + m**2 + 6269*m - 1826","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46973?\nAnswer: 107, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2916040244?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 187435161.023 and 1?\nAnswer: 187435160.023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in thirty-seven fifths of a centimeter?\nAnswer: 74","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 5*s**2 + 5*s - 5. Let x be q(-6). Suppose 0*f = -5*d + f + x, -4*f = -20. Suppose 15 = 2*i - 3*c, 5*i - d = -0*i + 5*c. List the prime factors of i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -2*y**3 + 13*y**2 + 13*y - 3. Let z be u(7). What is the third derivative of 12*h**2 + 14*h**2 + z*h**5 - 19*h**5 wrt h?\nAnswer: 1200*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -k - 2*v - 0*v + 1, -v = -4*k - 5 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does -4939\/7 = -706?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -42*r**3 + 13*r**2 + 25*r - 109. Is c(-21) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-100)\/210)\/((-63)\/81 - -1)?\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5493?\nAnswer: 3, 1831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 769*c. Let q(z) = -z**2 + 26*z. Give q(h(g)).\nAnswer: -591361*g**2 + 19994*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes after 10:34 AM?\nAnswer: 4:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -14039.128 to the nearest 10.\nAnswer: -14040","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -43 * -5.\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 672 and 1092.\nAnswer: 8736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 3232089.4 times -0.1\nAnswer: -323208.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 538289308?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -82 (b) 2\/7 (c) -2\/3 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 363431 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -170a3a8 (base 11) in base 12?\nAnswer: -b85719","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 694 is divided by 34?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2670*w - 3200*w = -1060 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the third derivative of s**4\/24 + 11*s**3\/6 - s**2. Let y be d(-6). Suppose -5*c + 90 = y*v, -3*c = -3*v - 25 + 85. Is 10 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 12*o**2 + o. Let l be g(1). Let f = l + -7. Let w = 10 - f. Solve -w = -2*q - 2*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 4*r = 196 + 2644, -3*t + 3*r + 8466 = 0. Does 32 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-3)\/(-3) - 3) + -19. Let v = d - -23. Solve -5*x + 7 = -4*f, -9 = -2*f - x - v for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40435.97 rounded to the nearest 1000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -426484 or -426479?\nAnswer: -426484","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -3*z + z + 0*z. Let o(m) = 4*m**2 + 5*m - 5. Let k(i) = i**2 + i - 1. Let c(h) = 5*k(h) - o(h). Determine g(c(y)).\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (25\/(500\/16))\/(8*16\/1280)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 divided by -3782?\nAnswer: -12\/1891","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -1763 at most as big as -1761?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1042 - 931. Does -6\/11 = y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*n - 216114 + 217356 = 0 for n.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 39 and 1261.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 - (-8 + (0 + 7 - (-120 + 121)))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 37079 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5a09c6 - -1?\nAnswer: -5a09c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11752 - 3416 = -12*o. Let d = o - -96. What is the tens digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3364807*n**3 - 6272025*n**2 wrt n?\nAnswer: 20188842","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 2*q - 4*q - 8 = 0, -q = 5*y - 18. Find the third derivative of -35*b**y + 2 - 2 - 75*b**2 - 50*b**4 wrt b.\nAnswer: -2040*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 6039539.10189 from 13.\nAnswer: -6039526.10189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**3 - 29*f**2 + 27*f + 45. Determine n(28).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 12, x: 1, h: 3}. Give prob of picking 2 h.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -50, -39, -22, 1, 30, 65?\nAnswer: 106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**2 - 12. Let p be u(0). Let d = 16 + p. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4827 (base 16) to base 14.\nAnswer: -6a35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**3 - 4*w**2 - 4. Let g be m(-4). Let t be 4\/8 - (-2)\/g. Suppose -12 = 4*p - 4*y, -5*p + 3*y = -y + 17. Sort t, p, 3 in ascending order.\nAnswer: p, t, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 10*i - 4. Let z be t(4). Suppose z = 5*b - 3*c, 3*c = 3*b - 4*b. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the third derivative of -b**5\/30 + b**4\/24 - 11*b**3\/2 + 20*b**2. Let l(t) be the first derivative of h(t). Let k = 4 - 7. Calculate l(k).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/4032 and 163\/105600?\nAnswer: 2217600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*q**3 + 122*q**3 + 64*q**3.\nAnswer: 191*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2640, 5117, 7588, 10053, 12512, 14965, 17412?\nAnswer: 19853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**3 - 4*w**2 - 51*w + 1. Does 12 divide d(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in twenty-one fifths of a centimeter?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5208 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000204625 to six dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14451*c - 15 = 14454*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y + 9. Let u be o(-7). Let 3\/5*m + 0 + 3\/5*m**u = 0. What is m?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**2 + 3*f - 5. Let w be h(-5). Let o(i) = 1 + i + 1 - w. Let u be o(5). Solve -u = -a - 7 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3\/2570104 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**5*m*(m*m**(3\/7)\/m)\/m*m)\/((m*m*m**(-2\/19))\/((m\/((m*m**(-1\/10)\/m)\/m))\/m)) assuming m is positive.\nAnswer: m**(8823\/1330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -13*k**2 + 7*k - 4. Let n be r(4). Let p be n\/(-20) - 1\/5. Solve 2*l + 3*d - 4 = 4, -l = -5*d + p for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u + 2*u - 147 = 4*d - 317, 315 = 3*d - 6*u for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -35006 (base 9) to base 13\nAnswer: -a80c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together -65 and 96822108366.\nAnswer: 96822108301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2138309180.\nAnswer: 2, 5, 7, 37, 47, 8783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*z**4\/9 + 412*z**3\/3 + 2594*z**2 - 169796*z\/9 + 48400\/3 = 0. What is z?\nAnswer: -50, -44, 1, 33\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -725*q**3 + 175*q + 175. Let x(m) = 25*m**3 - 6*m - 6. Let l be 25\/15*3*5*7. Determine l*x(g) + 6*k(g).\nAnswer: 25*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00011548247 rounded to seven dps?\nAnswer: 0.0001155","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from ttt.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -389 - -723. What are the prime factors of v?\nAnswer: 2, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10778*h - 93369 + 198664 + 272486 = -355123 for h.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**3 + 20*q**2 - q + 16. Does 11 divide z(-19)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i - 5*l - 45 = 0, -l + 18 - 3 = 4*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.665 to one dp.\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*a + 5*a = -8 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((48\/8)\/18)\/(3\/9).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3324, -2421, -1544, -705, 84?\nAnswer: 811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 139.111 + -139. What is n rounded to 1 decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*1*sqrt(4)*2)\/((2*sqrt(968))\/sqrt(4)))**2.\nAnswer: 50\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -37821 times 130\nAnswer: -4916730","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 1120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1067 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the third derivative of 0 + 0*h - 5\/12*h**4 + 13*h**2 - 5\/6*h**3 - 1\/12*h**5. Factor g(j).\nAnswer: -5*(j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*j = -5*k - 63, 79*k + 39 = 90*k - 2*j for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffkfffkffk. What is prob of picking 2 f?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 32 - 69. Let y = a + 56. What is the greatest common divisor of y and 171?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2 + 13921*g - 13922.\nAnswer: (g - 1)*(g + 13922)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 3021.9 (b) -1\/2 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -2*d - 22. Let z(b) = 10*b + 120. Let x(f) = 22*q(f) + 4*z(f). Calculate x(-5).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 663300 and 603000.\nAnswer: 6633000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 + b65?\nAnswer: b67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -17 by -135.\nAnswer: 17\/135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 7 + 2*i**2 + 2*i + 7*i + 2*i**2 - i**2. Let b(a) = -a**2 - 4*a - 3. Let f(m) = 7*b(m) + 3*q(m). What is the second derivative of f(p) wrt p?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -3*p + 2. Let f(k) = -k**2 + 4*k + 3. Let w be f(4). Determine l(w).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 0*o**2 + 0*o**2 + o**2. Let d(g) = g**2 - 2*g - 22. Let l be d(-4). Let i(f) = -12*f**2 - 3*f**2 - f**2 + 3*f**l. Determine s(i(j)).\nAnswer: 169*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 18\/21*(10 - 3). Suppose x*g = g - 3*s + 1545, -3*s + 627 = 2*g. Is g a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 4*k**3 - 6*k**2 + 2*k + 3. Let z be n(1). Let r(w) = 9*w**2 + 3*w - 9. Let i(t) = 17*t**2 + 5*t - 17. Let q(m) = 6*i(m) - 11*r(m). Calculate q(z).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 94 divide 17587172?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1769\/9 + 197. Let h = -0.2 + 0.3. What is the smallest value in p, h, 3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/8 + (-105372)\/(-48) - -4 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v = 5*v - v, 2 = 2*c + 2*v for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 584896576 to the nearest integer?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -10*a**5 - 6*a**3 + 6*a**2 - 8*a. Let q(t) = t**5 - t**3 + t**2 + t. Let f(l) = -6*q(l) + r(l). What is the second derivative of f(b) wrt b?\nAnswer: -320*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17305 - -17312. Let j(x) = -2*x**2 - 2*x + 105. Determine j(i).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23548 = 453*g + 313*g + 3632 for g.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 5, t: 4, c: 6}. Give prob of picking 4 t.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t + 2172. Let q(i) = 48755*i**2 + 98*i - 48754*i**2 - 98*i. Give q(v(k)).\nAnswer: k**2 - 4344*k + 4717584","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jya when three letters picked without replacement from {c: 1, y: 1, n: 1, a: 1, j: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -2 - (-3 + -2) - -19?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence edyp when four letters picked without replacement from {y: 2, d: 2, e: 4, p: 3}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6143\/4 - -27887\/20. Let i = s - -141. Let r be (1\/(-2))\/(1\/6). Which is the closest to -1? (a) -1 (b) i (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -92157 - 0.05.\nAnswer: -92157.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 + 2 = -2*f. Let j = -4 + f. Let h = 22 - 23. What is the closest to h in -3\/4, -2\/7, j?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:37 AM and 9:15 AM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 + 1 + 2 + 1. Suppose -5*a + 8 = -j - 6, i*j = -2*a + 26. Find the third derivative of 0*z**2 + 211*z**3 - j*z**2 - 194*z**3 wrt z.\nAnswer: 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * 2392949.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1792 and 560.\nAnswer: 8960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 139, 578, 1307, 2326, 3635?\nAnswer: 5234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -9*q - 3. Give z(-2).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2010 by -3.\nAnswer: 670","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 265*z + 9228. Give u(-28).\nAnswer: 1808","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15 + -12. Suppose v*k + 125 = 8*k. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -21, 9, -56, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*g + 6*g + g + (g - 1 + 1)*(-4 + 4 + 1) + 2 - 6*g - 3 + 13*g - 7*g + 12 - 12.\nAnswer: 5*g - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b + 7. Let j be m(-5). Suppose 4*x = 3*y + 58, j*y + 3*x + 24 = 2*x. Find the common denominator of 4*(-3 - 16\/y) and -87\/2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -73 - -166. Let t = x + -96. Sort 10, -2, 4, t in decreasing order.\nAnswer: 10, 4, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**5\/3 + 308*x**4 - 52884*x**3 + 3942432*x**2 - 99300006*x - 749554884.\nAnswer: -2*(x - 117)**4*(x + 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -884480, -1768943, -2653396, -3537833, -4422248, -5306635, -6190988?\nAnswer: -7075301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s - 67 = -67 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 5, k: 8, m: 4}. Give prob of picking 3 m and 1 o.\nAnswer: 1\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ifiiiffffiffifffff. Give prob of sequence fif.\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4 and (2 - -1)*-1 - -6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 994 - 982 = 4*p. Let u(z) = 161*z**3 - 7*z**2 + 2*z - 7. Is u(p) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 284666313 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 1, 2, -86\/1449?\nAnswer: -86\/1449","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 2*i**2 - 132*i - 5037. Determine h(93).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 6 - 325?\nAnswer: -316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 212002100 - 10?\nAnswer: 212002020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/204680 and -149\/84280?\nAnswer: 1432760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1434310 and 90?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/5)\/((12\/(-56))\/((-225)\/(-30))).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-1)\/1*167)\/(2\/(-12))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2089.\nAnswer: 2089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2965318033?\nAnswer: 23, 97, 1329143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 105434 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -138 = 2*c - 25*c. Factor 268*t**2 - 139*t**2 - 138*t**2 + 3*t**3 + c*t.\nAnswer: 3*t*(t - 2)*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -5745*o + 120651. What is c(21)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-665)\/(-57) + -2)\/(8\/3) and -1 + -1 - 162\/(-20).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(2\/11)*p**(1\/4)\/p)**(-9)\/((p**0)**22)**(2\/5) assuming p is positive.\nAnswer: p**(225\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 44624911 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**3 - 2*j**2 + j - 3. Let o be c(-3). Find the second derivative of -10*y + o*y**3 - y**3 + y**3 wrt y.\nAnswer: 18*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1070425 is divided by 535186?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-10)\/(29*6\/((-24)\/(-4))). Is -1 <= m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-15) - ((-8648)\/(-780) - (-6 + 17))?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -6 + 11 - (4 - -8)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*u**2 - 1636748950*u - 133947356266305125.\nAnswer: -5*(u + 163674895)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 154*a - 12. Let q(v) = 179*v - 13. Let s(l) = 6*q(l) - 7*w(l). Let d(h) = 3*h - 5. Give -3*d(o) - 2*s(o).\nAnswer: -o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2510 is divided by 148.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 34433380?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 112032 and 965498.\nAnswer: 778","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6007369 is divided by 1025?\nAnswer: 869","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(684) - (3 + -1*sqrt(684))) + -5)**2 + 5*(sqrt(684) + 0)*-5 + 0 + -2 + 0.\nAnswer: -342*sqrt(19) + 2798","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28104.\nAnswer: 2, 3, 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = 2*w - 3*q, 2*w - 50 = -2*q - 0*q. Let f be (w\/(-9))\/(-2)*3. Solve 0 + f = u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -20 + 28. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 246 is divided by 25?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j + 4*j = 0. Let i be (j\/(-2))\/(-2 + 4). Find the third derivative of -3*n**2 + i*n**2 - 5*n**4 + 3*n**2 + n**2 wrt n.\nAnswer: -120*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange n**3 - 11304*n**4 + 5663*n**4 + 7 - n**2 + n + 5642*n**4 to a*n + z*n**3 + y + t*n**4 + o*n**2 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 292468 is divided by 2178.\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 - 1) + (-23 - -16) + 4 + 2?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t**5 - 80*t**4 + 936*t**3 - 2592*t**2 = 0.\nAnswer: 0, 4, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-4*(sqrt(2299) + sqrt(2299)*-4 + 3)**2 + (-5 + 2 + sqrt(2299) - sqrt(2299)) + -3)*5.\nAnswer: -7920*sqrt(19) + 828060","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 27257102 to the power of 1\/2, to the nearest integer?\nAnswer: 5221","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(528)*3*-5)\/sqrt(11)*5.\nAnswer: -300*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times -140?\nAnswer: -280","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 503\/5 + -101. Let h = 1218 - 4871\/4. Which is the nearest to d? (a) -9 (b) -4 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**3 - i**2 + 25*i - 45. What is c(2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 119, -766, -2797, -5980, -10321, -15826?\n\"Answer: -h**3 - 567*h**2 + 823*h - 136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14484763?\nAnswer: 701, 20663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 40, 4, -112, 0 in ascending order.\nAnswer: -112, 0, 4, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20*55\/(4510\/287)?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xt when two letters picked without replacement from nxxxntttxtxtt?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) 1 (b) -1\/3 (c) -4 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 3*a - 21 = -6*v, -5*v = 3*a - 31 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*w = 919 - 205. Solve 0 = -2*z + 2 - 0, -4*t + 5*z = w for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 102.4 + -101.9. Let w(o) = -o**2 + 5. Let g be w(-4). What is the smallest value in q, g, -0.2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the second derivative of -c**7\/2520 - c**6\/120 + c**5\/20 - c**4 - 5*c. Let r(h) be the third derivative of x(h). Give r(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1471, 2996, 4521, 6046, 7571?\n\"Answer: 1525*s - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the third derivative of 2521*w**7\/42 - w**5\/15 + 65*w**4\/8 + 2*w**3\/3 - 31*w**2 - 166. What is the third derivative of n(t) wrt t?\nAnswer: 302520*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 19 (b) 2 (c) -100.17 (d) 2\/9 (e) 0 (f) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**2 + 17*a + 25. Let d be k(-13). Let c(i) = i**3 + 27*i**2 - 3. Let m be c(d). What is the third smallest value in -2\/9, -3\/4, m?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 - 0. Suppose -27*r = -3*g + 123, -102*r = -104*r + g - 20. Which is the closest to j? (a) 5 (b) 3 (c) -7 (d) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*w - 2*w - 5*w**2 + 12*w**2)*(-20*w + 406 - 406) in the form j*w + v*w**2 + d + l*w**3 and give v.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.3 (b) -6\/13 (c) -4\/9 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.01? (a) -0.4 (b) -6 (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vwvw when four letters picked without replacement from {q: 4, w: 3, v: 2}?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0*y + 2*y + 0*y)*(-1 - 1 + 1 + (-1 - 5 + 5)*(1 + 1 - 3) + 19 - 20 - 64).\nAnswer: -130*y + 65","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 22*m**2 - 7*m + 13. Let u(z) = 44*z**2 - 13*z + 26. Let k(g) = 9*o(g) - 4*u(g). Is k(6) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -541*t**3 - 4*t**2 - 79*t - 41. Is i(-12) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 707*t + 463. Determine k(-1).\nAnswer: -244","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4 - 161\/35 - 19\/(-15). Which is the second smallest value? (a) 2 (b) 117 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -46\/9 and 85\/66.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4\/3, 2\/5, 1270\/11, -2\/13?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 11 + 5 = 0. Suppose 0*q - 4*v + 8 = i*q, -2*q - 3*v = -6. Let u(o) = -o**3 + 6*o**2 + 5. Let s be u(6). Solve q*m = m - s for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 + -16. Let u = -10 - m. Solve -5*k = 17 - u for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -40 or -34?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26 + 3*j + 95 - 95.\nAnswer: 3*j - 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2510461 - 5?\nAnswer: 2510456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*p + 33*p + 20 - 21)*(-p + 0*p + 0*p) + 470*p + 29*p**2 - 470*p + (-4*p - p + 3*p)*(2*p + p - 5*p) - 2*p**2 + 3*p**2 - 4*p**2.\nAnswer: -9*p**2 + p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 3*z - 2*w - 6, 5*z + 4*w = -12. Suppose 2*j - 3*j + 59 = z. Let b = 136 - j. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 435 divide 1628205?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 411, 831, 1251, 1671, 2091?\nAnswer: 2511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/16*8\/36 - 194\/(-24)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -257 - -257.0535. Which is greater: -0.1 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.69, -1\/10, -0.03, -0.3, -1, 0.5?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 18*n**2 - 2. Let y be x(-4). Let b(g) = 2*g**2 - 5*g + 1. Let u be b(5). What is the greatest common factor of y and u?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/10? (a) -2.543 (b) -1 (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 329 divided by 7.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -85711.1 + 79547. What is a rounded to the nearest one hundred?\nAnswer: -6200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/35 + 51\/165.\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6519 by 124.\nAnswer: 6519\/124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*h**4\/5 + 7274*h**3\/5 + 331602*h**2 + 2062976*h\/5 + 412232\/5 = 0.\nAnswer: -454, -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -87.00000089 - -87. What is d rounded to seven decimal places?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27 + (10 - 50) + 14 - 73.\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the first derivative of y**6\/1440 + y**5\/80 - y**4\/6 + 11*y**3\/3 + y - 21. Let l(s) be the third derivative of u(s). Factor l(d).\nAnswer: (d - 2)*(d + 8)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 16 + -9 - (3 - (3 + -3)). Suppose -2019 = -7*b + x*b. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (576\/80)\/6*-15?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(-1) + (-3)\/(-1). Suppose -r - n*r + 84 = -3*c, -2*r - c = -62. Suppose -2*l + 7*l = r. Calculate the highest common factor of l and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h and 1 y when four letters picked without replacement from {h: 8, y: 1, n: 11}?\nAnswer: 56\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 3\/10 of a century?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 238192477?\nAnswer: 719, 331283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:51 AM and 8:03 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**3 + 4*j**2 - 3*j. Let r = 8 - 5. Let q be d(r). Solve 0*u - b = -u + 2, q = -u - 2*b + 8 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 188 to the power of 1\/2, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n**2\/2 - 3629*n\/2 - 34295 = 0. Calculate n.\nAnswer: -3610, -19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:34 AM and 7:59 AM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -951*m - 16126 = -218*m for m.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -6*i - 2*o - 26, 22 = -2*i - 4*o. Let a(m) = 3*m**2 - 2. Let f(v) = 4*v**2 - 3. Suppose -2*k = -k - 4. Give i*a(u) + k*f(u).\nAnswer: u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -31344224231 - -10?\nAnswer: -31344224221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 3 + -5 + -1 + 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the first derivative of w**3\/3 - 7*w**2\/2 - 7*w - 87. What is x(7)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44180 is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (126\/20)\/7*96\/216\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 619*o - 616*o. Suppose 1\/4*z**2 - 1\/4 + o*z = 0. Calculate z.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -32833\/14 + 4637\/2. Let q = u - -27. Solve 0*m**2 + q*m**3 - 6\/7*m + 4\/7 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a when three letters picked without replacement from {w: 7, a: 6}?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 15446566 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.04 - -0.13. Let x = -4315.16993 - -4315. Let r = x + f. Round r to four decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -1109.\nAnswer: 2\/1109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + -1. Suppose -2*n + 2 = 0, 4*t - 2*n - 402 = -r*t. Let l = t - 32. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 + 4. Let q be (h - -2)\/(3\/63). Let n be 6\/q + 26\/7. Let i(g) = -g**2 + 5*g + 2. Determine i(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 308 + -3390\/11. Suppose -17*m = -12*m - 20. What is the smallest value in o, -1\/6, m?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1281\/(-126) + 12\/2\nAnswer: -25\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 135865 to the power of 1\/3, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y when three letters picked without replacement from {y: 6, s: 3, g: 1, r: 1, t: 1, e: 1}.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 748*s. Let c(r) = r**2 + 4. Let l(m) = -m**2 - 6. Suppose -19*d = -40*d - 42. Let u(i) = d*l(i) - 3*c(i). Calculate j(u(k)).\nAnswer: -748*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 2*i - 4. Let q(k) = -2*k + 4. Let p(o) = 4*h(o) + 3*q(o). Calculate the remainder when 11 is divided by p(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 6 and 999.\nAnswer: 1005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 266 - 156. Let g = u - 110. Solve 0 = -5*l + 25, -x + g*l - l = -1 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*k + c, -36*k - 3*c = -33*k + 3 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -5*q**3 + 98*q**2 - 63*q + 120. Give n(19).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 + 6 - (-2 - 848)\/1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wtm when three letters picked without replacement from mmwmmmwwtwmtmmtwwwwt?\nAnswer: 32\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3504810?\nAnswer: 2, 3, 5, 116827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4215 + -1?\nAnswer: -4220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*d**2 - 18 + 90 - 4*d**2.\nAnswer: 3*d**2 + 72","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 69*a - 62*a - 10913. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 4666359392823 and 0.\nAnswer: 4666359392823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-39)\/13)\/((-4)\/40*6). Which is the nearest to -2\/31? (a) 1\/4 (b) 2 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7\/2*a**4 - 5*a**3 + 0*a**2 + 0*a - 1\/2*a**5 + 0 = 0 for a.\nAnswer: -5, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*w**3 - 6*w**3 - 8*w**3 + 14*w**3 + 24*w**3.\nAnswer: 57*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wod when three letters picked without replacement from wbdwowb?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**2 + 18*r + 490. What is m(33)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (151*c - 106*c + 143*c)*(-4*c**2 + 3*c**2 + 2*c**2).\nAnswer: 188*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9441 + -5802. What is the thousands digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**2 + 11*o + 37. Let s be y(-11). Find the third derivative of 37*k**3 - 34*k**2 - 30*k**6 - s*k**3 wrt k.\nAnswer: -3600*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7049670*o**3 - 1131*o**2 - 7391*o wrt o?\nAnswer: -42298020","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2702 = 26*k - 4682. Let c = 341 - k. Are 57 and c non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*f - 20 + 66 = -28. Solve 0 = -7*j + 5*j + t + 12, 3*j + f*t = 11 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10, 4, -22, -80, -182, -340, -566?\nAnswer: -872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -19642*m**2 + 19983*m**2 + 3*m - 39 + 39 + (-5 - 3*m + 5)*(2*m - 4*m + 5*m) as i*m + y + r*m**2 and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -60 + 1?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 57 + -62. Suppose -5*z - 90 = 3*u, -3*z - 4*u - 17 = 48. Let t be ((-12)\/z)\/((-2)\/n). Solve 5 - t = -s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 - 43 - 4)*(-4 + 3 - 2*g - 2).\nAnswer: 116*g + 174","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 263 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 55604 to the nearest integer?\nAnswer: 236","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6, 17, 48, 111, 218, 381, 612, 923?\nAnswer: 1326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 34662409.4 times -0.1\nAnswer: -3466240.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.066 and -0.055911777.\nAnswer: 0.010088223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - u - 567012 = 5*m, m + 113409 = -3*u. What is m rounded to the nearest one thousand?\nAnswer: -113000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*v*v**17*v**7 assuming v is positive.\nAnswer: v**26","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 0, -5\/4, -2\/13?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -2*u + 3*p, 0*u = u + 2*p + 19. Let n = u + 17. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -0*k - 5*k + 4*l, 4*k - 5*l = 29. Let c be (1\/1)\/k*0. Suppose 3*m - 11 - 1 = c. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/o**(1\/5))**(23\/2))**(-5\/13))**(-9) assuming o is positive.\nAnswer: o**(414\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes before 10:34 AM?\nAnswer: 4:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 18.1 from 99.8.\nAnswer: 81.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 + 9. Suppose -15 = -8*s + f*s. Calculate the remainder when 7 is divided by s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19715 is divided by 58?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72*l = -q - 66*l + 5977, 17912 = 3*q + l. Does 12 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 + -1. What is the remainder when ((-12)\/18)\/(r\/(-222)) is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*g + 328 - 328)*(1 + 2*g - 1) + 4 + g**2 - 4.\nAnswer: 15*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -19b1 - 0?\nAnswer: -19b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(-2) + (-3)\/(-12)*2. Suppose 6*c - 18 = -l. Let x(g) = 8*g**2 - 4*g - 7. What is the units digit of x(c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -4*c**2. Let o(p) = -14*p. Determine u(o(b)).\nAnswer: -784*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*n + 6 = 11*n. Suppose 2*x + 0*x = 0. Let c be -2 - x - (n + 1). Let t(q) = q - 6. Let a(s) = -1. What is c*t(m) + 6*a(m)?\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 72 + -73.245. Let p = g + 1.1753. Let j = p + 0.07. What is j rounded to three decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30.6 - 0.4576672425\nAnswer: 30.1423327575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 2*m**3 - 43*m**2 + 91*m - 641. Calculate c(20).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 24\/(1*(-2)\/(-4)). Let v = -24 + n. Does 8 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4563 + 51?\nAnswer: -4512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 201 is divided by 63?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21610074?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 508432396?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -35 + 37. What is the units digit of -3 - 23\/(-2)*k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*d**4 - 3268*d**3 + 29*d - 638 wrt d?\nAnswer: -24*d**2 - 19608*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1366.1125 or 1?\nAnswer: 1366.1125","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 8923 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 60*y**2 - 38*y - 10.\nAnswer: 2*(5*y + 1)*(6*y - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14 + 13 - 9)*(3 - 4 + 2)*(2*o**2 - 4*o**2 + 11*o**2).\nAnswer: -90*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.21555 + 2.284582. Let m = 3.5 - y. What is m rounded to 5 decimal places?\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -2*n. Let v(y) be the third derivative of y**7\/2520 - y**5\/20 - 3*y**2. Let s(q) be the third derivative of v(q). Give s(z(r)).\nAnswer: -4*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -9844*n**2 - 1129*n**2 - 15522*n**2 as y*n + f*n**2 + t and give f.\nAnswer: -26495","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iwio when four letters picked without replacement from {w: 5, q: 6, i: 3, o: 3}?\nAnswer: 3\/1904","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 439792263?\nAnswer: 3, 6047, 8081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the first derivative of -4*g**5\/5 - 15*g**4 + 68*g**3\/3 + 30*g**2 - 64*g - 68. Find o such that l(o) = 0.\nAnswer: -16, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.5 (b) -2 (c) -4\/7 (d) -5 (e) 0.3 (f) -4 (g) 575\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 12*t**2 - 2. Let i(h) = 145*h**2 - 25. Calculate -25*g(z) + 2*i(z).\nAnswer: -10*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 4*v = 8, -9 = 5*h + 5*v + 11. Let r = 3.1 + -3.48. Let u = 0.08 + r. Which is the smallest value? (a) h (b) 6\/11 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2496 and 293696.\nAnswer: 881088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1376 + 1376.2. Sort w, -0.493, 0.1.\nAnswer: -0.493, 0.1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 5*j**2 + 10*j - 9. Let k(n) = -9*n**2 - 20*n + 17. Let v(o) = 4*k(o) + 7*m(o). What is the units digit of v(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -x + 7. Suppose -2*n + q = 3, 7*n - 3*n = x*q - 15. Which is greater: 0.3 or n?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 673*q**2 - 1327*q - 6. Let g(u) = -3*u**2 + 1. Let j(d) = c(d) + 6*g(d). What is the second derivative of j(s) wrt s?\nAnswer: 1310","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-2*sqrt(1331))**2 + 0 - 4*(((sqrt(1331) - (sqrt(1331) + 0 + 5)) + sqrt(1331))**2 + sqrt(1331)).\nAnswer: -104 + 396*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-12) + (-171)\/54. Let g(m) = m**3 + 2*m**2 - 3*m - 6. Let r be g(p). Let j(d) = -d - 5. Calculate j(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 + 6. Let b be (-85)\/(-204) + (-2)\/(-8). Let a(g) = g**2 - 1. Let n be a(0). Put q, n, b in descending order.\nAnswer: q, b, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*x - 3 = -8*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 41823781 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = m - 314977, 2*n + 4*m + 41045 = 356013. Let g be (3\/48)\/((-915)\/n). Let c = g - -70\/183. What is the common denominator of c and 69\/4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(1300) + (sqrt(1300) - sqrt(1300)*1) + sqrt(1300))**2 - ((sqrt(1300) + sqrt(1300) + 1 - sqrt(1300)) + -1) - ((sqrt(1300) + 0)*5 + -4).\nAnswer: -220*sqrt(13) + 5220","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.133 rounded to one decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**2 + 1. Let s be a(-2). Let l = -98 - -97.9. What is the nearest to l in 2\/15, s, -0.6?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 725418395 to the nearest integer?\nAnswer: 899","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-5)\/((-90)\/(-8)) - 849\/(-27). What is the derivative of 138 + 50*z - p*z + 36*z + 51*z wrt z?\nAnswer: 106","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**2 + 7*h - 10. Let z be l(2). Suppose 3*s = z*s - 60. Let c be (-2*(-1)\/(-3))\/((-18)\/135). Solve -3*v + 3*u + s = u, -4*u - 20 = -c*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (62 - 71) + 20 + -5.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**2 - 4*p - 6. Let g be v(4). Let x(a) = -4*a - 10 - a**3 + 0*a**2 + a**2 - 7*a**2 + a. Calculate the remainder when 14 is divided by x(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23 + -50 + (50 - 12)\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32422?\nAnswer: 2, 13, 29, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/5 (b) 1207.4 (c) -1.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/(1232\/(-21))*(-385)\/(-210).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20140 (base 10) to base 11.\nAnswer: -1414a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 413 or 415?\nAnswer: 415","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (12\/(-36))\/((-6)\/(-79)) and 9\/2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 147, 296, 443, 588, 731?\nAnswer: 872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-16)*3\/(63\/(-12)).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -4*i**2 - 73*i + 44*i + 37*i. Let y(o) = -3*o**2 + 5*o. What is 5*r(z) - 8*y(z)?\nAnswer: 4*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) -0.16 (c) 5 (d) -8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1506216997*y**5 + 304459946*y - 2 wrt y?\nAnswer: 30124339940*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -18*l + 63. Let j be n(4). Let a be (6\/j)\/((-4)\/(-21)). Which is smaller: a or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1450?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 3*o**2 - 5*o + 5. Suppose 2*v - v - 16 = 0. Let u(g) = -18*g + 10*g**2 - 26*g + v + 28*g. Let d(q) = 16*s(q) - 5*u(q). Let c(t) = 7*t. Give c(d(w)).\nAnswer: -14*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.2205 * 0.4\nAnswer: -0.0882","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 586.4819 + -0.3.\nAnswer: 586.1819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -570252877800900 - 4.\nAnswer: -570252877800904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/4)\/(((-90)\/120)\/((-3)\/14)).\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -18, 0, 42, 120, 246, 432?\n\"Answer: 2*p**3 + 4*p - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*c = 12*c - 7. Let z(d) = 709*d**2 + 3*d + 3. Does 68 divide z(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2518200 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9208233?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -19 (b) -0.3 (c) 5 (d) -13.7 (e) 2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/226522283 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2061, -4120, -6179, -8238, -10297, -12356?\n\"Answer: -2059*o - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**3 - 287*y**2 + 2203*y + 302344. Give o(-291).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 34*a**3\/3 - 25816*a**2\/3 - 104488*a - 314688 = 0.\nAnswer: -6, 13112\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 81\/22 and 93\/4315718.\nAnswer: 4315718","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 10011222 (base 3) to base 7\nAnswer: 6524","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 196*n**2 + 14*n + 19. Let m be o(-2). Is (2 + -10 - -4) + -4 + m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -43132, -40.2, 3\/4.\nAnswer: -43132, -40.2, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-1\/9))**(-20)*(m*m*m\/(m*m*m**(-2\/9))*m)**(-14\/5))**(-3\/10) assuming m is positive.\nAnswer: m**(6\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**3 - 2*j**2 + 12*j + 3. Suppose 0*g + 8*g = -4*g. Let l be f(g). Let x(s) = s**3 - 4*s**2 - 5*s. Let n be x(5). Solve l*a = -n*a - 6 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*z + 34*z = 2008. Suppose 0 = -3*u + z + 71. What is the tens digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26.24939ml in litres?\nAnswer: 0.02624939","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1064467 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -3156 (base 7) to base 13\nAnswer: -681","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -52 - 7*v**2 + v**3 + 33 - v + 33 to the form b + x*v**2 + l*v + m*v**3 and give x.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*g - 67 = -43 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*l**3 + 97*l**2 + 381*l - 97*l**2 - 184*l - 178*l.\nAnswer: -11*l**3 + 19*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/156 and 67\/20.\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, u: 2, q: 2, y: 1, a: 1, g: 2}. What is prob of picking 1 a and 1 u?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 s when two letters picked without replacement from {y: 2, r: 3, s: 13}.\nAnswer: 13\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**2 + 5*j - 37. Let m be g(-9). Let z(p) = -9*p**2 + 2*p + 1. Determine z(m).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9517842 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**3 + 21*l**2 + 5*l - 298. What is y(-20)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (-1 + (0 - -3)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 (base 10) in base 12?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 725704 and 144?\nAnswer: 13062672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 41463, 41469, 41485, 41517, 41571, 41653, 41769?\nAnswer: 41925","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 2\/5, -2\/13, -11, 1794, -1\/4, -1.9?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the third derivative of -567*o**5\/20 - o**4\/24 + 907*o**3\/6 - 608*o**2. What is the second derivative of c(d) wrt d?\nAnswer: -3402","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -f**4\/5 + 1842*f**3\/5 + 23329*f**2\/5 - 2003082*f\/5 - 2024568\/5 = 0.\nAnswer: -39, -1, 28, 1854","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 254 - 539 - t**2 + 10*t + 291. Suppose 2*w = 5*w - 30. Calculate f(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1175358931 to the power of 1\/4, to the nearest integer?\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 33*p**2 + 44 + 2*p**3 - 2*p**4 + 3*p + 52 - 98 - 2*p**3 to the form n*p**2 + c*p**3 + d*p**4 + w*p + q and give n.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x - 2716 = -20*h - 2582, 0 = -2*h - 2*x + 8 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 819?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-396)\/45 + (-7)\/35.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 8 = 2*j. Let r(i) = -i**2 - 20*i + 199. Let d be r(-27). Let o be -3 - ((4 - d) + 4). What is the nearest to -0.2 in 0.4, j, o?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1*(-2 - -1 - 3). Solve -o = o + u for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ky when two letters picked without replacement from kykk?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 0.3, -4, -0.2, -40\/11, -63 in ascending order.\nAnswer: -63, -4, -40\/11, -0.2, 0.3, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2.5 and -726.\nAnswer: -1815","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(1\/2)*(y*y*y\/(y\/y**5)*y)\/y)**32\/(y**(-1\/9)\/y**2*y\/(y*y**(1\/3))*y\/(y\/y**(-4))) assuming y is positive.\nAnswer: y**(2218\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the third derivative of w**5\/60 + w**4\/6 - w**3\/6 - 7*w**2. What is a(-2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5\/3? (a) 109 (b) 7 (c) -3\/58\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:55 AM and 11:39 AM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 16\/4541091 and -4\/699.\nAnswer: 1058074203","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 5*y - 962, -3 = 3*q - 0*q. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, c: 6, y: 1, v: 2, l: 7}. Give prob of picking 3 l and 1 v.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -12, -20.67, 2, 1?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:09 AM and 5:32 PM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**3 + x**2 - x - 2. Let r(m) = -253*m**3 - 99*m**2 + 99*m + 198. Give 2*r(c) + 198*s(c).\nAnswer: -308*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-37)\/m)\/m**(-1\/25))\/((m*m**(6\/11))\/m)**34 assuming m is positive.\nAnswer: m**(-15539\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 70d - -d?\nAnswer: 71c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttt when three letters picked without replacement from ttttwttwtw?\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(200)*1)\/sqrt(8))\/(sqrt(40)\/(sqrt(392) - (2*sqrt(392) + sqrt(392)) - sqrt(8))).\nAnswer: -45*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the third derivative of -1\/20*y**5 + 1\/8*y**4 + 5*y**2 + 0 + y**3 + 0*y. Factor r(o).\nAnswer: -3*(o - 2)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5*((-203)\/(-35) - 5) + -9 + 691. Solve -18*r + 596 = i for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 562582.\nAnswer: 2, 281291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 15764?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1201*t = 1198*t - 48, -i + 2*t = -30 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -7210 + -819.50426?\nAnswer: -8029.50426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 629 - -278. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate j**3*k - 63*j**3 + 374*j**2 + 151*k with respect to k.\nAnswer: j**3 + 151","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*m - 11*m - 30 - 1698 = 0. What is the remainder when m is divided by 77?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(1\/4)\/l*(l\/l**(-12\/5))\/l*l assuming l is positive.\nAnswer: l**(53\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2248259261 to the nearest integer?\nAnswer: 47416","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -130, -354, -946, -2086, -3954, -6730, -10594?\n\"Answer: -30*k**3 - 4*k**2 - 2*k - 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 42*j**3 - 1000*j**2 - 812*j + 236. Let m(i) = 43*i**3 - 1000*i**2 - 813*i + 234. Let h(q) = -3*m(q) + 2*o(q). Factor h(y).\nAnswer: -5*(y - 23)*(y + 1)*(9*y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**3 - 7*c**2 + 8*c + 2. Let k be -4 + (-2 - -2*3). Suppose 4*r - 2*b + 37 = -3*b, k = 2*b + 10. List the prime factors of t(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 77 - 76. Sort -2, g, -5 in descending order.\nAnswer: g, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39 - w - 77 + 41.\nAnswer: -w - 75","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 11*m - 576 = 0. Suppose 0 = -6*x + m. What is the remainder when x is divided by (-68)\/(-18) - 4\/(-18)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*k + 19 = -77. Let n(g) = 13 + 0 - g + 5 - k*g. Let x(j) = -j**2. What is x(n(r))?\nAnswer: -25*r**2 + 180*r - 324","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 161*x + 3546. Determine h(-32).\nAnswer: -1606","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5284?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 4574 divide 78000990?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that q**3\/4 - 1497*q**2\/4 - 2997*q\/4 - 1499\/4 = 0.\nAnswer: -1, 1499","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q = s - 40, 3*q - 27 = -0*q - 3*s - 15 for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 227*j - 1806*j + 140*j - 838*j - 642*j as y*j + d and give y.\nAnswer: -2919","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j + 7. Let c be w(8). Sort 3, c, -6.\nAnswer: -6, c, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 19\/532*7*-1. What is the biggest value in 1, 1\/3, 272, d?\nAnswer: 272","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:09 PM and 12:39 AM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u + 5. Let p(v) = -2*v + 9. Let c(w) = 5*g(w) - 3*p(w). Let f be c(3). Let x be (1 - 1)*1\/(-2). Is x bigger than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the first derivative of -c**3\/3 + 11*c**2\/2 + 11*c + 9. Let v be q(11). Suppose -3*n + 4 + v = 0. Solve -1 + 26 = -n*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27229*m**3 + 12553*m**3 + 132 + 286.\nAnswer: 39782*m**3 + 418","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -23*1\/(-1)*(8 - 7). Let w(q) = 43*q + v - 44 + 21. Let t(s) = -4*s. Give t(w(u)).\nAnswer: -172*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -136.403 and 0.5.\nAnswer: -68.2015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:02 AM and 4:35 PM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9*k - 12*k - 10 - 5)*(-2 - 2 + 7) to the form m*k + g and give m.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**3 - 29*u**2 - 30*u - 30. Let g be t(-28). Calculate the greatest common factor of g and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 12*t - 34. Let x be z(3). What is the remainder when (4 + 0)*41\/x is divided by 42?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 138 to the power of 1\/2, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -105\/81554 and 85\/88968.\nAnswer: 978648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -33*v - 114. Let h(a) = -18*a - 59. Let o(i) = -9*h(i) + 5*y(i). What is o(-12)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5662 - 5682) + -1 + 1\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1*-3 + 1 - (-16 + 14). Is v < 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 28 and 18.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-25)*((-10)\/(-3))\/(-2)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4447771 to the nearest integer?\nAnswer: 2109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 315 and 714070.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 7 + (-4 - (-54 - 5)). Suppose -4*r + 22 = -2*j, 57*r = i*r - 4*j - 29. Solve 3 = -r*a + 6*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/(-14))\/((-10716)\/1106427)\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7180 a multiple of 113?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4 - (2 + -2)) + -2. Let g be (46\/10 - -2) + -1. Let f = 94\/15 - g. Are u and f equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is a56c6 - -79?\nAnswer: a5772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(42)\/((sqrt(72)\/sqrt(3))\/sqrt(8)))\/((sqrt(2) - (sqrt(2) + sqrt(2)*2 + sqrt(2)))*-6 + -1*(sqrt(18) - sqrt(2))).\nAnswer: sqrt(7)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-12))\/(k*k*k**27\/k*k)*k*k\/(k*(k\/(k\/(k\/(((k*k**(-4\/19)*k)\/k)\/k*k))))\/k)*k**(22\/7) assuming k is positive.\nAnswer: k**(-4664\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 11218\/11*f + 28*f**2 - 49928\/11 + 2\/11*f**3.\nAnswer: 2*(f - 4)*(f + 79)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/7, 0.08, -15 in increasing order.\nAnswer: -15, -3\/7, 0.08","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(350)\/sqrt(7))\/sqrt(2)*3)\/(sqrt(40)\/sqrt(128) + (sqrt(105)\/sqrt(3))\/sqrt(7)))**2*-5.\nAnswer: -144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -378304*n. Let v(s) = 15*s**2. Give h(v(u)).\nAnswer: -5674560*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -346, -336, -324, -310?\nAnswer: -294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*q + 2*q + 0*q)*(0 + 0 + 1 + 0 + 6 - 2 + (0 - 3 + 4)*(-2 + 1 + 4)) + (29 - 11 - 17)*(2 - q - 2) in the form y*q + l and give y.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 7364?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -2*n**2. Let h(u) = -5*u**2 - 56. Give g(h(o)).\nAnswer: -50*o**4 - 1120*o**2 - 6272","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 14) to base 7\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*p**5 - 7*p**4 - 137077*p**3 + 13786692*p**2 wrt p?\nAnswer: -120*p**2 - 168*p - 822462","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(15)\/(sqrt(5) - (-2*sqrt(50))\/sqrt(10)).\nAnswer: sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*a + 45*a + 4*a**2 + 2*a**2 - 8*a**2.\nAnswer: -2*a**2 + 75*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -10*p + 7*p + 123, 5*h + 131 = 3*p. What is the least common multiple of 3086 and p?\nAnswer: 64806","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 12*i - 27. Let w(o) = -3*o + 7. Let m(q) = -15*w(q) - 4*x(q). Let b(d) = -d + 2. Calculate 7*b(u) - 3*m(u).\nAnswer: 2*u + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 12*m - 54. Let n be i(5). Let u be 28\/(-6) + 4 - (-22)\/n. Let a(o) = -o - 1. Let w be a(-3). Solve u*q - t = -q - 10, w = -t for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -68, -85, -100, -113?\nAnswer: -124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 101337?\nAnswer: 3, 17, 1987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1788 and 12?\nAnswer: 1788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -2*r**3 - 3*r**2 + 21. Let g(o) = 2*o**3 + 4*o**2 - 22. Give 6*g(m) + 7*j(m).\nAnswer: -2*m**3 + 3*m**2 + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -161*t + 809. Let v be r(5). Which is the nearest to -0.2? (a) 0.03 (b) 3 (c) -4 (d) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -785*j - 110. Let b(w) = 29*w + 4. Let v(m) = 55*b(m) + 2*g(m). Let n(q) = -4*q. Determine n(v(x)).\nAnswer: -100*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*a**3 - a**3 + 1697*a - 1695*a.\nAnswer: 2*a**3 + 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 58724670?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5879931.\nAnswer: 3, 73, 26849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**2 + 10*b - 1. Let c(p) = 4*p**2 + 717*p + 1603. Let l(x) = c(x) - 6*f(x). Find the first derivative of l(n) wrt n.\nAnswer: -4*n + 657","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (466\/(-9087))\/(2\/(-78)). Factor 2\/7*d**y + 4\/7 - 6\/7*d.\nAnswer: 2*(d - 2)*(d - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -8350, -8263, -8108, -7879, -7570, -7175, -6688?\n\"Answer: x**3 + 28*x**2 - 4*x - 8375","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 32 + -17. What is the remainder when 88 is divided by j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 65676 - 458362\/7. Let t = 196 - a. Which is smaller: t or 2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 9088*q - 81826. Calculate p(9).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 68 + -63. Suppose 1 = -b*g - 2*d, 3*g = -2*d + 3*d + 6. Solve -7 = 4*f + g for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 87736?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 167 - 84. What is the remainder when 246 is divided by f?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(13))**2 + sqrt(13))*1 - (-6*(sqrt(13) + sqrt(13)*-4) - sqrt(13)).\nAnswer: -12*sqrt(13) + 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 581 is divided by 167.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 142 a factor of 41959012?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*b - 4*u = 43*b + 10, -20 = -5*b - u for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 207296 and 395?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 509736*b = 509769*b - 1188 for b.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/8*(6 - -2). Let o be 0\/((-2)\/((-4)\/r)). Solve 3*l + 0*l + 9 = o for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 3*d = 20. Suppose -94 = -d*t + q, 2*q - 64 = -2*t - 2*t. Let a = t - 7. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-792)\/56 - ((-39)\/(-21) - 3)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 5 - 10)*(3 - 3 - 1)*(0*g**3 - g**3 + 3*g**3 - 4*g**3 + g**3 + g**3 + 4*g**3 - 2 + 2 + (-g**2 + g - g)*(-1 + 1 + g) + 2*g**3 + 0*g**2 + 0*g**2).\nAnswer: 60*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 538.59 - 101.29. Let q = w - 437. Which is the smallest value? (a) q (b) -5 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h - 168 = h. List the prime factors of h.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 10*a**3. Let c(p) = 2*p - 6. Let d be c(6). Suppose -d*g + 5*g = -1. Calculate o(g).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 11) in base 13?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -5311, -42532, -143601, -340456, -665035, -1149276, -1825117?\n\"Answer: -5323*p**3 + 14*p**2 - 2*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 = 0.56?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1)*q*q)\/(q*q\/(q\/(q**(4\/3)\/q)))*(q**(3\/4)\/q)\/(q*q**42*q) assuming q is positive.\nAnswer: q**(-535\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 621206813 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 32 and 104096?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -m**5*v - 427*m**4*v + 2*m**2*v + 3550*m**2 + 5 wrt m?\nAnswer: -60*m**2*v - 10248*m*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z*z**(-6)*z*z)\/(z\/(z*z*z**(-3\/10))))\/((z**(-1\/9)\/z)\/(z\/z**(-1\/7))) assuming z is positive.\nAnswer: z**(601\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 336301*h - 336299*h - 5 + 672552*h + 4.\nAnswer: -48*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -196, -405, -648, -943, -1308, -1761?\nAnswer: -2320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**2 + 12*n - 5. Let u be l(12). Let v = u + 9. Suppose -2*p + 14 = p - 2*g, -2*g + v = 0. Solve m + m + p = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1.303392 days?\nAnswer: 1876.88448","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 1 = 7. Let i be 300\/42 + g\/14. Let j(t) = t**2 - 3*t - 6. Is j(i) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) 1\/3 (c) 2 (d) 2\/9 (e) 1\/26 (f) -3\/37\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -212 + 129*t**2 + 112 + 100 to the form w*t + p*t**2 + q and give p.\nAnswer: 129","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/5, -1\/7, 5.7, 3.\nAnswer: -4\/5, -1\/7, 3, 5.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 60\/(-14) + 42\/147?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -2*v - 5 + 0 - 3. Let g(z) = -z - 3. Let k(x) = 8*g(x) - 3*r(x). Let b(c) = 4*c**2 + 6*c**2 - 5*c**2. Give b(k(t)).\nAnswer: 20*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (1 + -2 - 6) + 5 + 21\/9\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8173 - -8198. Solve j + 13 = 3*c, 0 = -3*c - j - 4*j + f for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -25*h**2 + 262*h - 456. Give i(6).\nAnswer: 216","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 189 and 675.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 52606?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 - 9*f)*(-8*f + 8*f + 13*f).\nAnswer: -117*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 285*n = 290*n - 25 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17.3 - 0.3. Let k = -25 + s. What is the biggest value in k, 3, -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1181155390?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2735644 and 5?\nAnswer: 13678220","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -16*l + 1377. What is c(85)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f + 3*y + 6, -3*f + y + 9 - 3 = 0. Suppose f*a + 6 = 5*a. Suppose a*t = -5*s + 6, -3*s - 2*s + 2*t = 6. Solve s = -j - 0*j + 1 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 351 and 3393?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 1035, -5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -6 (b) 1\/8 (c) 2.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/87 (b) 0.3 (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -291643*p**2 - 39186*p**2 - 465305*p**2 + 3119*p**2.\nAnswer: -793015*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.884066 and -291547?\nAnswer: 291546.115934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:58 AM and 5:48 PM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 12*p - 15*p = 10, -4*p = 3*s + 20 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10.185 - 9.185. Let p(w) = 3*w**2 + 5*w - 3. Let g be 3*((-24)\/(-9))\/(-2). Let h be p(g). Which is the nearest to h? (a) x (b) 0.1 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 2*y - u - 7 = 0, 5*y + 5 = -3*u. Let l = -771 + 768. Which is smaller: y or l?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.293347 times -2?\nAnswer: -0.586694","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(27)\/(5*(sqrt(9) - sqrt(36))) - (sqrt(324) + sqrt(324)*1)\/(sqrt(3) - sqrt(132)\/sqrt(11)).\nAnswer: -2 + 59*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w + 5 + 4. Suppose n - 4 = 5*f, 18 - 6 = w*n - 4*f. Suppose 145 = n*u + u. Does 13 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6.03*-0.4.\nAnswer: -2.412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -117480 + 195512 - 78032 + 3*w**2.\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + t - 16 = -r, r = 3*t + 16. Let a be -1 - 1\/1 - (19 + -106). Let w = 86 - a. Solve r = -g + w for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -126800716*p**5 + 9471*p - 254 wrt p?\nAnswer: -2536014320*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:53 PM and 8:41 AM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1089 a factor of 16848452?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 4742747*-77\nAnswer: -365191519","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (-4 - 5) + 6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 39778 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 2*y**5 + 80630*y**4 + 812931708*y**3 + 5685120936*y**2 - 14622613776*y = 0?\nAnswer: -20154, -9, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the third derivative of z**5\/60 + z**4\/8 + 7*z**3\/6 + 2*z**2. Is w(-7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z + 254 = 58. What is the smallest common multiple of 24 and z?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -53, -6, -4, -3 in decreasing order.\nAnswer: 4, -3, -4, -6, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/4*(5647 + 19) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 2*r + 25 = 0, -30 = -2*n + 1010290*r - 1010287*r for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 114*y - 112*y - 4 = 0. Suppose 3*v - 5*v = -10. Suppose 4*w = 5*w + 3*l - 2, w - v*l - y = 0. Sort 1, w, -1.\nAnswer: -1, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (23*(-24)\/(-21528))\/(17\/(-153))\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1\/64 of a tonne?\nAnswer: 15625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -11*w**2 + 38127*w + 152559. Determine j(-4).\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - 1) + 2 + (-12 - -11)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*v - 2*v + 3*v)*(-v + 0*v - 2*v)*(-7*v - 668 - 23*v + 669)*(3*v - 3*v + v).\nAnswer: 540*v**4 - 18*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 65998335?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/2 - 0 - -70. Let w = 40 - d. Let q = 5 - w. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 104808127.\nAnswer: 4297, 24391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 109096?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/3 - 2 - -49. Suppose -4*p - t = -137. Let l = -41 + 57. What is the least common multiple of l and p?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2107 to the power of 1\/2, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.877 + -3.847. Which is the nearest to -1\/2? (a) w (b) -1 (c) 1\/5 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k = 5*w - 13, 15 - 14 = w for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 225\/54 + 1\/(-5 + -1). Solve -17*b + 21*b = s for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 3*k - 10. Let o be b(4). Solve -3*h = o*h + 20 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9663292, 9663298, 9663300, 9663298?\nAnswer: 9663292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -11299398, -22598796, -33898194, -45197592, -56496990, -67796388?\n\"Answer: -11299398*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -114 - -2?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*q + 23153618 + 3446382. What is q rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -c - 10. Suppose c*s + 7 = -8. Let y(d) = -2 - d - 1 + 3*d. What is y(s)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**2 + 2*j + 5. Let c be y(4). Let r be 0\/c - 1*-3. Suppose d = -r*d. Are -2 and d non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21668810 rounded to the nearest 10000?\nAnswer: -21670000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/(-6))\/((-1)\/(-9)). Let u = -0.8 + 1.1. Let i = 0.8 - -1.2. What is the second smallest value in i, x, u?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2, 811, 287 in decreasing order.\nAnswer: 811, 287, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ujjr when four letters picked without replacement from {j: 3, r: 5, u: 1}?\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(3\/14)*(j*j**(-19)*j)\/j*j**1\/(j*j\/((j*j*j**10)\/j)) assuming j is positive.\nAnswer: j**(-109\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 5*t**2 + 5*t + 5. Let l be -8*32\/6 - 22\/(-33). Let i = l - -40. Let o be v(i). Calculate the highest common divisor of 10 and o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 4, x: 4, z: 5, o: 6}. Give prob of sequence xzfz.\nAnswer: 10\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 30339702 to the nearest integer?\nAnswer: 312","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (6\/10)\/(2\/10). Suppose -r = 5*u - 24, 8 - 3 = -5*r. Suppose -5*g - 5*b = -210, f*g - u*g + 5*b + 119 = 0. What is the tens digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 = 11*j - 12*j. Let n = 58 - j. Solve n + 2 = 2*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 202381 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*p + 5 - 5 + (-4*p - 7 + 7)*(1 - 1 + 2) + (-17*p - 52*p + 15*p)*(0 + 0 + 2).\nAnswer: -118*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9220*l**3 - 4115*l**3 - 4454*l**3.\nAnswer: 651*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (19*j + 4 - 12*j + 3*j)*(-1 - 1 + 1)*(-1 + 5 - 1) in the form r*j + u and give u.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1378549327 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.1446 - -1.1446. Sort -3, n, -15\/11, 3\/7.\nAnswer: -3, -15\/11, 3\/7, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*k**3 - 7*k**3 + 2*k**2 + 5*k + 11*k - 13*k - 7 in the form p*k**3 + q + u*k + l*k**2 and give q.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f = -4*r - 24, -12*f + 4975*r - 4979*r = 24 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2431*b**2 + 3*b + 32916 wrt b?\nAnswer: -4862*b + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 161 a factor of 3114875?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24 (base 10) to base 16.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100100111111011011100 (base 2) to base 13.\nAnswer: 335944","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -2*y - 2, -4*c - 4*y = -8 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -32959.58585 to the nearest 1000.\nAnswer: -33000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 7 - 3)*(b**2 + b**2 - b**2) + (0 + 0 + 3*b)*(-b - 2 + 2) + (2*b + 0*b + 0*b)*(b + 0*b + 0*b)*(-333 + 750 - 309) to n*b**2 + u*b + r and give n.\nAnswer: 216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -561*u**2 - 2764*u**2 + 878*u**2 - 2343*u**2.\nAnswer: -4790*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.5 * 1.\nAnswer: -3.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.3 and 1488809?\nAnswer: 1488809.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -2*i**5 + 8584*i**4 + 207218*i**3 - 215800*i**2 = 0.\nAnswer: -25, 0, 1, 4316","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.07371 to two decimal places.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 41382617?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 37821, 75660, 113491, 151308, 189105, 226876?\nAnswer: 264615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -153*v + 150*v + f - 11 = 0, 4*v + 24 = -f for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 23 = -5*w, -3*w - 1 + 14 = l. Let h be l\/(-22) + (-12)\/(-66). Solve -3*m - 6 = -2*t - h*m, 2*m = -2*t + 6 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5.8 - -0.8. Let h = -38 + 116\/3. What is the nearest to -8 in b, h, 0?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 4*v**3\/3 + 396*v**2 + 39204*v + 1293732 = 0.\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:28 PM and 6:56 AM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 3*s + 7, 5*s - 3 = 4*s. What is the third smallest value in 3, z, -0.02, 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*v**3 - 7*v**2 - 4*v**2 - 4*v**2 + 19 + 19 - 36 + 14*v**3 + (0 - 1 + 3)*(3 - 3 - 2*v**3) in the form n*v + p + z*v**3 + m*v**2 and give z.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(136) + 3*sqrt(136)*-2 + sqrt(136))\/sqrt(8) + 3)*4.\nAnswer: -32*sqrt(17) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 343?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2613?\nAnswer: 3, 13, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3761993?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -k - 2 - 2, -2*d + 12 = -3*k. Suppose d = z - 2 - 10. Let h be (z\/10)\/(6\/20). Solve -3*a = -2*w - 13, -5*w + 5*a - h = 21 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the second derivative of 0*v**2 + 4 + 0*v**3 + 5\/24*v**5 - 5\/36*v**4 - 1\/9*v**6 + 7*v + 5\/252*v**7. Factor h(z).\nAnswer: 5*z**2*(z - 2)*(z - 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:48 PM and 8:08 AM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**3 + l**2 - 2*l + 1. Let p be (-10)\/(-2)*(-8)\/(-20). Suppose 0*z - z = -p. Calculate j(z).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -325 - -324.999366. What is h rounded to four decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 459377 to the nearest integer?\nAnswer: 678","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 - -176603?\nAnswer: 176602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**2 + 16*i + 85. List the prime factors of g(-14).\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 4, k: 1, a: 5}. Give prob of picking 1 k and 1 a.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 45689117437 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -47635 - -334056\/7. Let v = -89 + a. Is v less than or equal to 13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -2*p - 15, -7*p - w - 5 = -8*p. Factor -g**4 + 0 + p*g**2 + 0*g**3 + 0*g - 1\/2*g**5.\nAnswer: -g**4*(g + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -32990*u**2*z**3 + 2*u**2*z + 2*z**3 + 6662*z wrt z.\nAnswer: -197940*u**2*z + 12*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c**2 + 134718*c + 22660848 = 0 for c.\nAnswer: -168, 134886","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 569?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 26660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*i**4 - 15*i - 2*i**3 + 3*i**4 + 16*i to w*i + h + o*i**3 + d*i**4 + r*i**2 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/7924 and -2\/1367?\nAnswer: 10832108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -233874882 divided by -1063\nAnswer: 220014","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 8*j - 11. Let k be 2*(-9)\/(-12)*-4. Let d = 108 + -81. Suppose 0*r = 2*r + 5*a - d, 4*r - 2*a = 42. Let q(z) = 4*z - 6. Give k*t(h) + r*q(h).\nAnswer: -4*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77*h = 81*h + 2*k + 4, -4*k = -16 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23433 (base 5) to base 7.\nAnswer: 5040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -13*p**2 + 7*p**2 - 17*p**2 - 2*p**2 - p**2 + 6*p**2 + (-5 + 6 - 3)*(-2*p**2 - 5*p + 5*p) + 5*p - p**2 - 5*p + (-2*p**2 - 3*p**2 + 4*p**2)*(-4 - 1 + 6).\nAnswer: -18*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2274202?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16651356 and 2533902.\nAnswer: 116559492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 - 3. Let l = h - -1. Let v(n) = -n**3 + 13*n**2 - 11*n - 10. Let f be v(12). Which is the second smallest value? (a) -5 (b) l (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -50d (base 15) in base 8?\nAnswer: -2162","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - c = -6*y + 99, 3*y + 5*c = 103. Suppose 0 = -7*g + 2*g + 10. Suppose g*l - 5*l = -15. Solve -l*r - 13 = 4*n, -n + 3*n = 4*r + y for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 4*p - 2. Let y = 4 + p. Calculate the remainder when 49 is divided by y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes before 5:55 PM?\nAnswer: 2:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1447?\nAnswer: 1447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j + 2*p = 4*p - 25, 4*j + p - 9493 = -9485 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes after 11:22 AM?\nAnswer: 6:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-3)*(18\/(-15))\/(-1)\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.05, -683, 0.2, -0.1 in descending order.\nAnswer: 0.2, 0.05, -0.1, -683","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1010867417 and -32.\nAnswer: 1010867385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 18*l. Let j(p) = 202 - 3*p - 398 + 196. Calculate y(j(d)).\nAnswer: -54*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -v + v + v**3 + 2*v**2 + 0*v**3 + 2*v to r + s*v + w*v**3 + j*v**2 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/((-5)\/4 + 2). Suppose -2*k + 0*k - i = 2*v, 2*k + 5*v + 10 = 0. Suppose -7*b + 12*b - 305 = k. What are the prime factors of b?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**2 + 9*m + 17. Let b be k(-6). Let z be ((760 + b)\/(-3) - -1)*-1. Let x = z - 161. List the prime factors of x.\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - (-44)\/(-2))\/(-25 - (68 - 92))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-9)\/21 - 96\/(-28). Let q(c) be the first derivative of 1 + 36*c**2 + 2*c**6 + 2*c**h - 3*c**6 - 36*c**2. What is the third derivative of q(w) wrt w?\nAnswer: -360*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes before 5:35 PM?\nAnswer: 9:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 48.4 times -10.29?\nAnswer: -498.036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8669.\nAnswer: 8669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-1 - 3) + 3)\/(-1). Suppose -w = -m + 1. Suppose 4*h - m*h + 8 = x, 2*x - 17 = 3*h. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 21*l**3 + 161*l**2 - 22*l + 145. Give s(-8).\nAnswer: -127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/(-6)*((-3077)\/(-905) + 2\/(-5)). Sort q, 20, -1, 2 in increasing order.\nAnswer: q, -1, 2, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y*y*y\/(y*y*y*y**(-2\/9))))\/y**(-1\/5)*y**(6\/5)\/(y**(-6)\/y) assuming y is positive.\nAnswer: y**(413\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cccoccccccoccccc. What is prob of sequence cc?\nAnswer: 91\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1113479413 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 170\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43784 is divided by 644?\nAnswer: 636","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0 (b) 130 (c) -0.1 (d) -10\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 796.5 + -796.9. What is the third biggest value in 29\/3, 1, 0.3, -1, b?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 8 + 8. Suppose n = u*k + 2*n - 196, -2*n - 8 = 0. Suppose 4*c - 47 - 5 = 0. What is the remainder when k is divided by c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.226416 litres to millilitres.\nAnswer: 9226.416","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7706188 to the nearest integer?\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-441 + 441 - 25*w)*(-4 - 4*w**2 + 3 + 2*w**2).\nAnswer: 50*w**3 + 25*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-5)\/((-20)\/(-6)))\/1)\/((-99)\/22)*-6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -225 (base 10) to base 14\nAnswer: -121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 606*t**3 + 4*t**2 - 503*t**3 - 4*t**2.\nAnswer: 103*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1023 and 3894.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 138*n + 55*n + 1544 = 0 for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*w - 189548 = -2*v - 189530, 40 = 4*w + 2*v for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1001011000001100000101 (base 2) in base 13?\nAnswer: 680c78","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the third derivative of -32\/3*x**4 - 88\/45*x**5 + 0*x + 0*x**3 - 7\/72*x**6 + 0 + 259*x**2 - 1\/630*x**7. Factor k(a).\nAnswer: -a*(a + 3)*(a + 16)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-1779)\/(-2) + (-238)\/68?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 57*m**2 - 6 + 5 as s*m + p + j*m**2 and give j.\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 180 = 7*i - 3*i, 4*a - 16 = 0. Calculate the remainder when 94 is divided by i.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (4 - 2)*(-3)\/2\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (280\/(-105))\/(3\/(-18)). Solve 30*l = 26*l + g for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4402 - 5453 - 9289 - 1575)*(3 + s - 3) to t + a*s and give a.\nAnswer: -20719","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/11, -1.4, -121, -3, -0.3, 5 in decreasing order.\nAnswer: 5, 2\/11, -0.3, -1.4, -3, -121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:32 AM and 10:18 AM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -160 = -4*a - 0*a. What is the greatest common factor of 5 and a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2866*w - 1561*w - 2826 = 1462*w for w.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15370986068377 + 15370985229657.9099993. Let w = -838719 - u. Let h = w - 0.09. What is h rounded to six dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 19 = 2*f, -2*f - 2*f - 5*n - 45 = 0. Let t = f + 9. Let v be -9*(t\/3 + (-11)\/33). Solve -4 = 4*h - 4*l, -h + v*h + 3*l + 21 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-3)*-4)\/((-112)\/(-56))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -35? (a) 5 (b) -32 (c) 0.4 (d) -18 (e) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5*132\/495)\/(1\/(-3)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a + 0*a + 4*a - 1)*(83*a + 487*a - 77*a).\nAnswer: 986*a**2 - 493*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-1\/2))**(-3\/16)*g**(-1\/4)*g*g**(-5))\/((g**(-1)\/g)\/(g\/(g**(-8)\/g)*g))**(-1\/43) assuming g is positive.\nAnswer: g**(-6135\/1376)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -2\/407 (b) 106 (c) 58\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11 + 23. Suppose 3*d = -0 + g. Suppose 5*k + 69 = d*z, 3*k + 19 = z - 7. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20 * 659\nAnswer: -13180","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14197 is divided by 97?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -9*w - 461. Let s be x(-51). Which is the fourth smallest value? (a) 4 (b) -1 (c) s (d) 10\/7 (e) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 826906*t. Let n(g) = 2*g. Give d(n(j)).\nAnswer: 1653812*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 2*u. Let i(l) be the first derivative of l**4\/4 - 3*l**3 + 7*l**2\/2 + 10*l + 2. Let m be i(8). Calculate b(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3, 7, -3, -4, -314.\nAnswer: -314, -4, -3, 0, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 2*s**2 + 13*s + 38. What is the units digit of i(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -50747 times -50?\nAnswer: 2537350","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12210101 (base 3) to base 13.\nAnswer: 1bca","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((6 - 3) + -2 + -11)*69\/(-138). Solve -k*b = 5*d - 20, 2*d + 36 = 5*b + 9 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 p when two letters picked without replacement from urpurudrdrdrrduu?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9 + -2)\/(-44))\/((-22)\/16)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**2 + 4*r. Let k be u(4). Suppose 5*b - 1 = d, 0*b - 3*b = k. Is 15 a factor of 32 - (1 - (-2 - d))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, r: 3, v: 3, m: 1, w: 2, b: 2}. What is prob of picking 3 v?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 5*x - 19 = 0, u - 3*x = 6*u - 11. Suppose 3*q = 0, 3*z - 26 = z - u*q. Calculate the remainder when -37*(0 + 2 + -3) is divided by z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 2*n - 45, -18 = -2*l + 2*n + 48. What is the remainder when 184 is divided by l?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -518, -4003, -13420, -31733, -61906, -106903?\nAnswer: -169688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-7)\/(-1) - (5 - 3). Let c(b) = -5*b**3 - 3*b**2 - 3*b - 1. Let o be c(-1). Let z be 2\/o - (-55)\/22. Solve -8 + z = x*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -4*u - 21. Let h(z) = z + 1. What is -h(j) - i(j)?\nAnswer: 3*j + 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*(o\/(o\/(o\/(o**(-2)*o))))\/o*o\/o**2*(o\/(o*o**(1\/5)\/o))\/(o*o*o**(6\/5)) assuming o is positive.\nAnswer: o**(-7\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9239 - k**3 + 3*k**2 + 3*k**2 - 5*k + k**2.\nAnswer: -k**3 + 7*k**2 - 5*k + 9239","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the third derivative of s**6\/8 - s**5\/60 + 2*s**2. Let v be d(1). Suppose 0 = 5*u + 4*c + v - 72, 54 = 5*u + 2*c. What are the prime factors of u?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the second derivative of -1\/3*p**4 - 1\/15*p**5 + 0*p**2 + p + 0 - p**3. Let o(j) be the second derivative of d(j). Differentiate o(n) wrt n.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the third derivative of 5*z**4\/8 + z**3\/6 - 11*z**2. What is g(-1)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, h: 2, n: 1, r: 1, l: 1, p: 1}. Give prob of sequence noph.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is (650\/(-200))\/(3\/(-50124)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:24 AM and 11:36 AM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 165803 is divided by 14.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -111 + 422 - 91 - 108.\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 7, e: 2, r: 6}. Give prob of sequence crce.\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*-6*-5*(0 + 1*sqrt(1216) + 0 + -1 + -1*sqrt(1216) + sqrt(1216))**2*3.\nAnswer: -547650 + 7200*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**2 + 3*c - 1. Give j(6).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 111\/115 - 36\/23. Is 0 less than or equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**3 + 15*k**2 - 15*k - 23. Let c be x(13). Calculate the highest common factor of c and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-14 - -2)*(-4)\/16. Let w = 10 - f. Let a be 16\/(-8)*6\/(-4). Solve -a*i - 1 = -w for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.4 + -0.1. Let c = 6 - 5. What is the third biggest value in -0.3, k, c?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 7*n**3 - 25*n**2 + 2. Let z be v(4). Calculate the highest common factor of 250 and z.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o**(-1\/7)*o)*o*o)\/(o**(-2\/9)\/o)*(((o*o**(2\/3)*o)\/o)\/o*o*o*o)**12 assuming o is positive.\nAnswer: o**(2984\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f - 2*w = 22, -320 + 293 = -3*f + w for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*j - 47 + j - 6 + j**3 + 2*j**3 + 52 + 14*j**2 in the form a*j**2 + g*j**3 + k*j + z and give a.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -70\/71 - 9733\/426. Let l be 72\/(-7)*(10 - 17). What is the common denominator of f and 45\/l*(-404)\/(-50)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/5? (a) 20 (b) -5 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((100\/560)\/((-20)\/105))\/((-15)\/(-8) - 3).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6718464 + 2\/3*n**3 + 432*n**2 + 93312*n.\nAnswer: 2*(n + 216)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 divided by -993774?\nAnswer: -3\/331258","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 340 is divided by 173?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(5\/4))\/l**(-2\/9)*((l*l\/(l**(-1\/8)*l))\/l)\/l**(4\/7) assuming l is positive.\nAnswer: l**(-239\/504)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 183 and 135615505.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-6)\/18 - 4162*(-3)\/9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.105, 576, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 to the power of 1\/2, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -1201*k**2. Let n(r) = r**2 - 2*r + 5. Let s(p) = 3*p**2 - 8*p + 20. Let q(z) = 4*n(z) - s(z). Give t(q(w)).\nAnswer: -1201*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-140*v + 68*v + 71*v)*(-2 + 0 + 3) to the form z*v + q and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**2 - 10272*a\/5 + 993418\/5.\nAnswer: -2*(a - 89)*(5*a + 5581)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 3*y**2 + 4*y - 6. Calculate the remainder when d(-5) is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -138 + 138. Solve 2*z + 2 + 18 = -5*y, s = -2*z for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -60, -122, -184, -246?\nAnswer: -308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**3\/7 - 2*j**2 + 18*j\/7 + 18.\nAnswer: -2*(j - 3)*(j + 3)*(j + 7)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 94116 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*g**3 - 4*g**3 - 1229*g + 1226*g - 6*g**2 - g**3 to f*g + t*g**3 + y*g**2 + x and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(-525)*21*18\/(-63)?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 22545 and 919125?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5355204 to the power of 1\/2, to the nearest integer?\nAnswer: 2314","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -2*m, 8*w + 19 = 5*w - 22*m + 17*m for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*i**2*r**2*z**2 + 1155554*i**2*r*z**2 + 6*i*r**2*z**2 - 3361*i*r*z + 96*r**2*z**2 - 2*r wrt i?\nAnswer: 14*r**2*z**2 + 2311108*r*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -13*m + 46. Calculate f(5).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/3)\/n)**(-46)*(n**1)**(-43) assuming n is positive.\nAnswer: n**(55\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 568057 to the power of 1\/3, to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-5 + 6)*((-2)\/(-10) - 0). Let i = -4018 + 4018.1. What is the nearest to i in -0.69, x, 5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -b + 70000000. What is b rounded to the nearest one million?\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*c + 43*c**2 - 4*c**3 + c**3 - 2*c**4 + 392 - 394 + c**3 in the form l*c + v*c**3 + p*c**2 + j + a*c**4 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 36*r**3*u**3 - 589*r**3*u**2 - 2*r*u**2 - 2*u**6 + 8*u**4 wrt u?\nAnswer: 216*r**3 - 240*u**3 + 192*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b - 0*b - 6. Let p(m) be the third derivative of -1\/30*m**5 + 1\/12*m**4 + 0*m**b + 0*m + 0 + m**2. What is the second derivative of p(c) wrt c?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 8 + -3a34?\nAnswer: -3a29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 9 = 3*n, 5*n + 95 = 3*h + 80. Solve -13*p - 7*p - 140 = h for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the first derivative of 1\/6*i**5 + 0*i**2 + 4\/9*i**3 - 2*i - 3 - 4\/9*i**4 - 1\/45*i**6. Let a(k) be the first derivative of w(k). Factor a(v).\nAnswer: -2*v*(v - 2)**2*(v - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -101250*w**3 + 80503*w**2.\nAnswer: -607500","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44804212?\nAnswer: 2, 499, 22447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13 (base 6) to base 7.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r + c, r = -0*r + 3*c + 13. Let o(u) = 10*u**2 + 22*u + 12. Let s(y) = -y**2 + 1. Let z(p) = r*o(p) - 4*s(p). Find x such that z(x) = 0.\nAnswer: -1, -4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -3*m**2 - 3*m + 1. Let b(o) = 2*o**2 + 2*o - 1. Let r(h) = -5*b(h) - 3*d(h). Let i(w) = -4 + 5 - 3*w - 3 + 2*w**2 + 4*w. Give -2*i(n) - 3*r(n).\nAnswer: -n**2 + n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -206, -211, -220, -233?\n\"Answer: -2*a**2 + a - 205","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(-18780)*(-336)\/630*(-12)\/16*25?\nAnswer: 2\/313","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-413*z - 44*z**3 + 413*z)*(-6 + 7 + 2).\nAnswer: -132*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -2*d**2 - 424*d - 20909. Calculate s(-78).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 668201 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes after 6:58 PM?\nAnswer: 4:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75290808 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 + -6b?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 18813939 rounded to the nearest one million?\nAnswer: 19000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 177984 and 1692496.\nAnswer: 1648","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 3*h + 1180. Let n be k(0). Suppose -15*t + n + 2210 = 0. Suppose -b + 26 + t = 0. Calculate the highest common divisor of 28 and b.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -23908 and 2.1614?\nAnswer: -51674.7512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00003404 to 5 decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -2*p**2 + 3*p. Let h(u) = -2*u**3 + 10*u**2 - u - 3. Let g be h(5). Let c(k) = -6*k**2 + 8*k - 48 + 48. Determine g*v(j) + 3*c(j).\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -149\/144 and 31\/126360.\nAnswer: 252720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 5) to base 13.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tpaajgtip. What is prob of picking 1 t and 1 a?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the third derivative of -s**5\/60 - 5*s**4\/24 + 2*s**3\/3 + 3*s**2. Suppose -3 = -q, 4*t - 2*q - 1 = 17. Suppose 2*g + 18 - t = 0. Give h(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(612) + -2*sqrt(612) + -2)*6.\nAnswer: -36*sqrt(17) - 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3, 4, -284, 3, -97.\nAnswer: -284, -97, -3, 0, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 549 is divided by 176.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:48 AM and 6:27 PM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12609, 25200, 37789, 50376, 62961?\nAnswer: 75544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 0, 240, -5, 177, 1 in decreasing order.\nAnswer: 240, 177, 1, 0, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15 + -20. Suppose 0*s + 3*s - 6 = 0. Let h be (s + (-6)\/1)*-1. Sort h, u, -3.\nAnswer: u, -3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.86033722 rounded to 3 dps?\nAnswer: -0.86","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 82, 160, 236, 310, 382?\nAnswer: 452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - 17) + ((-105)\/(-7) - -6).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i**2\/9 - 44*i\/3 + 2176\/9 = 0 for i.\nAnswer: 32, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22*v**3 - 45*v**3 - 179*v**3)*(v**2 - 6*v**2 + v**2) - 2*v + 2*v - v**5 - v**2.\nAnswer: 983*v**5 - v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 2 - 5 + 0 + 2 + (-1 + 3 + 0)*(1 - 3 + 0) - 5 + 1 + 3)*(-3 + 1 + 0)*(-3 + 5 - 12)*(p**3 - 4 + 4).\nAnswer: -180*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1266?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 911723979?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 - 0. Suppose -92 = -4*s - u, -s - 6*u + 38 = -h*u. What is the highest common divisor of 110 and s?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1940\/44 - 6\/660*-5*-2.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23454159 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 3 + 0 + 3*y**2 - 4*y**2. Let m be l(-3). Is 1179\/(-6)*8\/m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 j when two letters picked without replacement from bppbjppcjpcp.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -794 divided by 6?\nAnswer: -397\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 take away 44318?\nAnswer: -44317.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**2\/10 + 773*r\/10 + 20406\/5.\nAnswer: (r + 57)*(r + 716)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 81\/135 - 74\/(-10). Let a be (i\/(-6) + 3)*3. Suppose -a*k + 2*w = 93, -w + 20 = 4*w. Sort k, 1, -4 in descending order.\nAnswer: 1, -4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 13*t**4 + t**3 + 2*t**2 - 26. Let g(d) = 13*d**4 + d**3 + 3*d**2 - 24. Let y(z) = 2*g(z) - 3*m(z). Differentiate y(l) wrt l.\nAnswer: -52*l**3 - 3*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 7108329*k**3 - 7534*k**2. Let b(c) = -22638*c**3 + 24*c**2. Calculate 3767*b(d) + 12*o(d).\nAnswer: 22602*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 k, and 1 f when three letters picked without replacement from fdiiikiidikilkikifi?\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14 - -1) + 3 + 2 - -13.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96 = 21*w - 45*w. Solve -2*g = -4*g - w for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -50 in -1\/4, -5, -0.01?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -85 (base 14) in base 2?\nAnswer: -1110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -20\/743 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-87)\/(-116)*8\/18. Suppose z = -3*h - 14, 2*h + 4*z + 24 = 8. Which is the nearest to 1? (a) 0.4 (b) -2\/19 (c) j (d) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -2 - 4. Suppose 0 = -44*h + 39*h + 10. Determine z, given that 10\/3*z**g - h*z**4 + 2\/3*z - 2\/3*z**3 - 4\/3 = 0.\nAnswer: -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2156 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 426 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 13*((-5208)\/312)\/(-7)\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-85 - 4) + 7)*1\/(-2). Suppose -r + 141 = -5*s. Put s, 4, 3 in decreasing order.\nAnswer: 4, 3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 8, 0, -25, 43, 2, -3 in descending order.\nAnswer: 43, 8, 2, 0, -2, -3, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-1152)\/112)\/3*(-7)\/2\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*r + 90 = -5*r. Suppose r*g - 79 = -61. What is the highest common divisor of g and 84?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*3*1\/51?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 - 0. Let g = 1.2 + h. What is the second smallest value in g, 0, 2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 139*n - 52*n + 19140. Suppose r = -2*d - d + 407, -3*r - 5*d + 1229 = 0. Let k = r + n. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 + 16 - -16 - 14\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from niiiyyb. What is prob of picking 1 n and 1 b?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 2.5, -0.029, 3, -3, 0, 1 in decreasing order.\nAnswer: 3, 2.5, 1, 0, -0.029, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 - 61?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -360*l**3 - 2*l**2 - 2*l. Let g(i) = 1079*i**3 + 7*i**2 + 7*i. Calculate -7*b(r) - 2*g(r).\nAnswer: 362*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3608.419s to milliseconds.\nAnswer: 3608419","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -415 in 4, 0.4, 1\/10?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the third derivative of 127*c**5\/12 - c**4\/6 - 2*c**3\/3 - 21*c**2. Let n be a(-1). Find the common denominator of -2 - n\/(-90) - 3 and -113\/12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -28*z**3 + z**2 - 7*z + 3. Let t(x) = 9*x**3 + 2*x - 1. Let c(d) = 2*g(d) + 7*t(d). Let s(o) = o**2 - o**2 + 3*o**3 + o**2. What is 2*c(q) - 5*s(q)?\nAnswer: -q**3 - q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**2 + 6*i - 21. Calculate the remainder when g(5) is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-12)*v**8 assuming v is positive.\nAnswer: v**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 62512 divided by 15628?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11 - -6. Let r = -273.39 + 273. Let v = r + -6.61. What is the biggest value in g, 4, v?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21904064?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.842 and 1?\nAnswer: 1.842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from {p: 2, j: 3}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(3*2*sqrt(20)*2)\/((-1*sqrt(4840) + sqrt(4840) - sqrt(4840))\/sqrt(4)))**2.\nAnswer: 2592\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -744.00001595 - -744. What is o rounded to five dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15133773 is divided by 71724.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v**4\/3 + 39*v**3 + 568*v**2\/3 + 300*v + 448\/3 = 0. What is v?\nAnswer: -112, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.03 in -3\/25, -111, -4, -1\/4?\nAnswer: -3\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6520324 a multiple of 281?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 2*q**3 + 2*q**2 - 3. Suppose 6*h - 4*d = 3*h + 6, 0 = 2*d. Let y(c) = 1 - 2*c**2 - 3*c**3 + 4*c**3 + c**h - 2*c**3. What is 2*t(r) + 6*y(r)?\nAnswer: -2*r**3 - 2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 101068098?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -75799 or -75800?\nAnswer: -75799","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 155\/11232 and -27\/11?\nAnswer: 123552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -14\/23 bigger than -1\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s - 2*s + 4*s)*(-8*s - 10*s - s) - s**2 - 5*s**2 + 4*s**2 + (-6*s**2 + s**2 + 3*s**2)*(3 - 1 + 0).\nAnswer: -25*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(176) - -1*(sqrt(176) + -2) - sqrt(176)) + sqrt(176) + ((-1 + sqrt(176) + sqrt(176))*6 - sqrt(176)))**2 + 4.\nAnswer: -832*sqrt(11) + 29812","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -2326 (base 8) to base 2\nAnswer: -10011010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**0)**(-2\/31)\/(n**(-1))**32)**(-1\/2) assuming n is positive.\nAnswer: n**(-495\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 80881*a**2*y - 10132*a**2 + 213*y + 405 wrt y.\nAnswer: 80881*a**2 + 213","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/5 - (-33)\/(-15). Let n be (-8)\/68 - m\/306. Which is the second smallest value? (a) -2\/13 (b) -1 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 12 in -21, -0.4, 2, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the first derivative of -v - 3. Let n(i) = -2*i + 0 - 3 + 2*i + 2*i - i**2. What is -5*b(u) + n(u)?\nAnswer: -u**2 + 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:12 PM and 12:02 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/(o\/(o*o\/((o\/o**(-6\/7))\/o)))*o*o\/((o*o\/(o*o**9))\/o)*o\/(o**(-8)*o)*o**(-6\/13) assuming o is positive.\nAnswer: o**(1791\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 4915311566965 and 0?\nAnswer: 4915311566965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1399*u**2 + 5*u**3 + 701*u**2 + 5*u**3 + 698*u**2.\nAnswer: 10*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -5, 1, 5 in ascending order.\nAnswer: -10, -5, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 8, q: 2, b: 5}. What is prob of picking 1 b and 1 q?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -469 by 511231.\nAnswer: -67\/73033","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 626 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4800246.\nAnswer: 2, 3, 11, 257, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -76*j + 255. Let i(c) = -15*c + 51. Let o(x) = -22*i(x) + 4*k(x). Let v be o(4). Solve -7*t + 8*t = v for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.8 - -2. Let t(f) = -4*f + 57. Let w be t(13). Suppose 5*p + 12 = -3*m, 2*m - 8*p = -w*p - 8. What is the nearest to 3 in x, m, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y = -3*h - 335 + 322, 0 = 5*y - 4*h - 14 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 56 + 0.23.\nAnswer: 56.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 98 and 147.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the second derivative of -5669*t**5\/20 + t**4\/12 + 428*t**3 - 4*t - 520. What is the third derivative of a(o) wrt o?\nAnswer: -34014","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**3 + 19*v**2 + 62*v - 208. Calculate u(-9).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 13\/(-18) - (-18)\/27. Let h = 23\/90 + l. Factor 0 - 1\/5*q**2 + h*q.\nAnswer: -q*(q - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 2, 5, -3\/14, -1\/11, 55?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -31703, -31775, -31847, -31919?\nAnswer: -31991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/407513 and -119\/1770.\nAnswer: 12225390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18636, 37053, 55470, 73887?\nAnswer: 92304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*o = 52*o. Which is greater: o or 2\/329?\nAnswer: 2\/329","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -r**3 + 16*r**3 - 3*r**2 + 9*r**3.\nAnswer: 24*r**3 - 3*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*v**3 + 7*v**3 + v**3.\nAnswer: 13*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**3 - 4*r**2 - 5*r - 58. Let z be d(-5). Sort 4, 6, 5, z in decreasing order.\nAnswer: 6, 5, 4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1930 + 1095. Which is smaller: j or -834?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -448*t**2 + 266*t**2 + 210*t**2 - 1 + 120*t**2 to u*t + f + z*t**2 and give z.\nAnswer: 148","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 74 - 233 = 11*w, 3*w + 59 - 12 = k for w.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that k**3\/2 - 1345*k**2 - 54400*k - 546000 = 0.\nAnswer: -20, 2730","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 8100000*f. Let w be p(2). What is w rounded to the nearest one million?\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5179806 and 414?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dw when two letters picked without replacement from dwx?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.2 + 1.2. Let f be (2\/(-5))\/(2\/(-10)). Let o be (1\/3)\/(f\/(-18)). Which is the third biggest value? (a) o (b) 5 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b. Let u(s) = -1 - 681*s - 169*s - 485*s - 132*s. Calculate t(u(m)).\nAnswer: 1467*m + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from oozzozooooozoooooo?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 487265056?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 8, x: 3, y: 2, q: 1, v: 4, i: 2}. What is prob of picking 2 y?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/25 of a meter?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 131 + -133. Let v = -1 - 1. What is the nearest to p in -0.5, 3\/4, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 4*a = -24, 0 = -3*y - 25*a + 21*a + 8 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q = 5*q + 96. Is 17 a factor of q\/(-14) + 2 + 4620\/49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 316166.7 years?\nAnswer: 31616.67","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*f + f - 4*f + (0 - 3 + 4)*(-9 - 7*f + 9) + 0*f + 3*f - f + (0 - 1 + 0)*(43*f - 23*f + 32*f).\nAnswer: -55*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-37 + 77)*1\/2. Calculate the highest common factor of 16 and j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 332 is divided by 194?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 + 0 + 0)\/(10\/20). Suppose -s*n - 2*k = -35610, -2*n + 71175 = 2*n - 5*k. Round n to the nearest one thousand.\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 20195419?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 10 - 37*i + 15 - 25 in the form s*i + d and give s.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**2 - 4*z - 1. Suppose 4 = -3*p + 5*p. Let j be a(p). Is 192\/10 + 1\/j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -483.1 and 3110834.\nAnswer: 3110350.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -62492 + 105910. What is the ten thousands digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 1 - (-8 + (20 - 15)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: c7 (base 13) to base 7\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j - 0*j + 4*t + 16, 0 = -5*j - 3*t + 17. Suppose j*x + 21 = 5*c, 0 = c - 5. Let n be x\/(-4 - (1 + -6)). Solve 2 - n = o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/15855 and 3\/4270?\nAnswer: 1934310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 264938 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*w - 2*m + m + 110 = 4*w, -3*m + 396 - 96 = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -161*n + 258. What are the prime factors of v(-13)?\nAnswer: 2351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2048111 to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (-35 + (3 - 8) + (-4 - -2))?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*p + p + 2*p + (-3 + 3 - 1)*(-39 + 43 + 64)*(3*p - p - 3*p) to a*p + y and give a.\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 870 = 127*q + 235 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.382 - -213232926?\nAnswer: 213232929.382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c - 8. What is the second derivative of -c*f**3 - 2*f - 2*f + f wrt f?\nAnswer: -12*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 494*y**3 + 374 + 6226 - 1879 - 582 wrt y?\nAnswer: 1482*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**22*b)\/b*b*(b\/(b\/((b*(b\/((b\/(b*b\/(b**(-20)\/b*b*b*b)))\/b)*b)\/b)\/b)))\/b)\/(b**(2\/11)\/b*((b\/(b**(-2\/11)*b*b))\/b*b)\/b) assuming b is positive.\nAnswer: b**(502\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 2*c - 44. Let a be r(20). Let i be (1 + a\/6)\/((-11)\/(-132)). Solve i*d = 7 + 5 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 453*k - 231*k - 224*k.\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*x**2 + 2*x**2 + 2*x**2)*(1221*x - 1651*x - 3328*x) + 8*x**3 + 4*x**3 + 5*x**3 in the form q + t*x**2 + w*x + z*x**3 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4469866*k**3*q**3*r + 27*k**3*q*r**2 + 64384*k**2*q**3*r**2 + 4*k**2*q**3 + 98*q**3 wrt k.\nAnswer: -26819196*q**3*r + 162*q*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 3*n + 6. Let k(g) = -2*g - 5. Let m(u) = -4*k(u) - 3*s(u). Let d be m(-3). Suppose 0*b - 5*c = -b + 9, 3*b + d*c = 7. Solve 0 = -b*o - 2 - 2 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5834 + 0*h - 5*h + 29*h**2 - 2*h**3 + 6*h + 5831 in the form a + s*h + k*h**2 + p*h**3 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6, 22, 64, 114, 166, 214, 252?\nAnswer: 274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -15*j**2*l**3 - 3212*j**2*l - 2*j*l**3 - 12*l**3 wrt l?\nAnswer: -90*j**2*l - 12*j*l - 72*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 30\/(-20) + 10\/8. Let q = 15.07401 + -0.07401. Which is the second smallest value? (a) -5 (b) 0.3 (c) q (d) v\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 30 + -42. Let h be (39\/l + 3)*1. Which is the nearest to 0.3? (a) 1\/8 (b) h (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3490197 is divided by 17?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 13 = 3*t - 2*t, 4*t - 48 = 4*h. What is the least common multiple of (-1 - -34)*2\/6 and t?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most 2\/24839?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/5 (b) 353\/6 (c) -26 (d) -2\/17 (e) -0.1 (f) 2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, 35, 1\/3, -19.73, 0.2, -4 in ascending order.\nAnswer: -19.73, -4, -1\/2, 0.2, 1\/3, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -180826 = -11*x + 10*x - 22*x. Does 3 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 14*f**3 + 3*f**2 + f - 2. Let o(u) = u. Let c be o(3). Let b be w(c). Let g = b + -280. Calculate the greatest common divisor of 18 and g.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14 + -14. Let l = x - -28. Suppose 4*w + 2*k = 6, l*w - 4*w = -2*k - 26. Calculate the least common multiple of 5 and w.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12220201 (base 3) to base 7.\nAnswer: -15400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*z + 4*z - z + 0*z + z + z + (-3*z + z + z)*(-2 - 2 + 5) as t + w*z and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -312 - -347. Is z <= 32?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 - 40\/7*h**2 - h**3 + 1\/7*h**4 - 44\/7*h = 0 for h.\nAnswer: -2, 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37686157 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 - 11. Let j = 2.5 + y. Let m = 0.4 + j. Which is the third smallest value? (a) -4 (b) -2 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 31625 - -77706. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -377.0923 to 1 dp.\nAnswer: -377.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence choo when four letters picked without replacement from {o: 4, c: 1, y: 3, h: 2}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -12*d**2 - 4. Let o(m) = 2*m**2 + m + 322. Give o(t(k)).\nAnswer: 288*k**4 + 180*k**2 + 350","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13.4 - -7.6. Let s = d - -11.98. Let u = s - 4.5. What is u rounded to 1 decimal place?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -3*m + 26. Give j(13).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 20 (b) -9 (c) 54\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1755932736?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 214*l - 2041 + 329 = 0 for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 18 = 5*q. Calculate the common denominator of ((-4)\/18)\/(q\/11) and -131\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**3 + 3690*f**2 + 97242*f + 93550.\nAnswer: -2*(f - 1871)*(f + 1)*(f + 25)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.0405 or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2222233311 (base 4) to base 2.\nAnswer: -10101010101111110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/42*(-31)\/(93\/(-234))?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 2 + 3*x - 1 - x**2 - 4*x. Let f(s) = -15*s**2 - 17*s - 49933 + 49951 - s. What is -18*b(d) + f(d)?\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -40*i + 24*i - 111*i - 32. Is 16 a factor of h(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8 by 31.\nAnswer: -8\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 64 and 576?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1197433 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 130093 to the power of 1\/5, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = -5*x - 4*g + 164, 0 = 94*x - 97*x - 2*g + 87 for x.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8859 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 - -8. Suppose 663 = m + 4*x - x, 4*x = b*m - 3334. 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 the value of 1 + 2 + (-9 - -2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((12\/2)\/(-114))\/((-5)\/(-10))?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 89 + (-22)\/(-7) + 4 + 203\/(-49). Solve 98*j = u*j + 36 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes after 11:36 PM?\nAnswer: 1:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 139\/3978 and 55\/204.\nAnswer: 7956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 9*h**4 + 77*h**3 + 239*h**2 + 268*h + 112. Let a(m) = -28*m**4 - 232*m**3 - 716*m**2 - 800*m - 336. Let u(d) = -5*a(d) - 16*b(d). Factor u(i).\nAnswer: -4*(i + 1)**2*(i + 2)*(i + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 503115*l - 118607.\nAnswer: 503115","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2, 33, -77, 5 in descending order.\nAnswer: 33, 5, 4, 2, -77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}