diff --git "a/data/dm_maths/full_data_2/10717_11255.jsonl" "b/data/dm_maths/full_data_2/10717_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/10717_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let j be (((-2)\/(-1))\/(-18))\/((-3)\/9). Sort 0.2, -5\/6, j, -0.3.\nAnswer: -5\/6, -0.3, 0.2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -2*u**2 + 56*u - 106. Let i be s(26). Which is the third smallest value? (a) -3 (b) i (c) 0.2 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 29727.91nm?\nAnswer: 29.72791","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 5 = -z, 3*j = -z + 13. What is the common denominator of (-56)\/j*(-5)\/(-6) and 28\/9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3336*m - 1687*m + 3608 = 1690*m for m.\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -5644, -11290, -16936?\n\"Answer: -5646*v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(56)\/(sqrt(96)\/(3*sqrt(12))).\nAnswer: 18*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -513 at most as big as -514?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:40 PM and 10:12 AM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 292, -20, -46, 2\/7?\nAnswer: 292","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 1541470?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes after 1:44 PM?\nAnswer: 1:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 3*z - 15280 + 1345, 0 = 2*z - j - 9291. What are the prime factors of z?\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*7855416.\nAnswer: 785541.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7799 - -7830.16. Are -2\/7 and i nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 15 - -328?\nAnswer: 341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 17*l**3 + 9*l**2 + 19*l - 4. Let r be -3 - (0\/(-3) + (-9 - -8)). Let v(w) = 3*w**3 + 2*w**2 + 4*w - 1. Let n(b) = r*m(b) + 11*v(b). Give n(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 638591?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zn when two letters picked without replacement from {m: 1, z: 1, n: 1, h: 4, q: 4}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 3*g**4 + 25*g**3 - 34*g**2 - 9*g. Let q(d) = d**4 + 12*d**3 - 17*d**2 - 2*d. Let f(b) = -4*k(b) + 10*q(b). Find p, given that f(p) = 0.\nAnswer: 0, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 140992353 to the nearest integer?\nAnswer: 11874","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 13*w**3 - 2*w**2 + 8*w - 10. Let c be k(2). Let o = 15 + c. What are the prime factors of o?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*o + 11*o - 7*o + 154 for o.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74 + 270 = 266*k - 70*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the third derivative of -z**8\/84 - z**4\/24 - 3*z**2. Find the second derivative of f(u) wrt u.\nAnswer: -80*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 50\/4327 + -51311\/7061664. Let g = -16177\/1632 - f. Calculate the common denominator of 97\/22 and g.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.3 (b) 2\/7 (c) 5 (d) -253 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1))**(17\/4)*b**(-1\/2)\/((b\/(b\/b**(-3)))\/b) assuming b is positive.\nAnswer: b**(-3\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 112233753?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + (-5 - 0 - (-15 - -16)) + 5.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 + -3. Let g(c) = 5*c + 90. Let r be g(-17). What is the closest to v in -0.2, r, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*l + 579*l**3 - 8*l - 9*l.\nAnswer: 579*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:18 AM and 10:45 PM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -136 - 3*t**2 - 8*t**2 + 136 - 2*t in the form f*t + y + d*t**2 and give d.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -921*p**2 - 16*p + 18. Let t(f) = 4*f**2 + 2*f + 1. Let o(u) = -3*t(u) - z(u). What is the second derivative of o(x) wrt x?\nAnswer: 1818","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/9)\/(((-240)\/(-18))\/10)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 24.46*-0.02\nAnswer: -0.4892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 170333 to the power of 1\/2, to the nearest integer?\nAnswer: 413","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 2*o**2 + 8*o - 21. Suppose 4*m = -144*k + 141*k - 7, -3*k = -5*m + 25. What is c(k)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -15\/23, 4, -6?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 855*s = 852*s + 6 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is (1\/(-3))\/(28\/(-419916)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 950 and 380?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, 28, -3\/2, -1 in ascending order.\nAnswer: -3\/2, -1, 2\/5, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 27\/(-5)*14\/21 - -4. Which is smaller: n or -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/10 and -91\/18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -225*s + 5717 = 1667 for s.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10923*t - 172036 = -3823*t + 168764 for t.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**3\/4 + 15*j**2 + 111*j\/4 + 27\/2.\nAnswer: 3*(j + 1)**2*(j + 18)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.8718433 months to centuries.\nAnswer: 0.00239320275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 167073 to the nearest integer?\nAnswer: 409","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -29 times -1436\nAnswer: 41644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 58\/1633?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 553?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 742 = -101*y - 1706 - 1693 for y.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 85301 and 38612?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*c**3 - 3*c**3 - c**4 + (-4*c**2 + 2*c**2 + c**2)*(2*c**2 + c - c) + 2*c**4 - 6*c**4 + 2*c**4 + (-116*c - 3*c + 817*c)*(-5 + 3 + 4)*(-c + 2*c**3 + c).\nAnswer: 2787*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 19 = -4*a, -2*a - 2*a - 88 = -4*u. List the prime factors of u.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15502 + -15503. What is the third smallest value in 0.3, 2\/5, v, -0.4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, t: 5}. Give prob of sequence tii.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5.9, -5, -46, -2\/3, 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -140*n**5 + 9*n**4 - 7288*n**2.\nAnswer: -8400*n**2 + 216*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 9}. Give prob of sequence iiii.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -9*b**3 - b - 2. Let l be y(-1). Suppose -4*w + 3*w = -q - l, 4*q + 17 = w. Solve -2*o - 4*d + 14 = o, 15 = 5*o + w*d for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2229171?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + -10. Let u(i) = i**3 + 10*i**2 - 2*i - 14. Let c be u(t). Let n be (0 - 2)*c\/(-12). Solve -n = l - 4 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 - 1787.145\nAnswer: -1782.145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80*z + 5265*z - 234624 = 457*z for z.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is (-13)\/2*(3 + -7) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -7210.3 to the nearest ten.\nAnswer: -7210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 450 and 35450?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 31 + -27. Factor 4*i**2 - 36*i - 7 - 34 + c*i**3 + 5.\nAnswer: 4*(i - 3)*(i + 1)*(i + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p - 24 - 10. Let k = 22 + p. Suppose 2*w + 176 = 6*w - 2*y, 0 = -k*w - 4*y + 194. What is the remainder when w is divided by 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -881, -2174, -3849, -5870, -8201, -10806, -13649?\n\"Answer: 6*q**3 - 227*q**2 - 654*q - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l - 129 = -3*l. Let i = -40 - l. Let v(c) = 6 - 1 - 4 + i*c - 4*c. Determine v(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71794 to the power of 1\/2, to the nearest integer?\nAnswer: 268","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 2*i**2 - 31*i - 12. Suppose 114 = 7*q + 2. Let c be n(q). Solve -1 = 4*v + 3*y, -3*v - 11 = y - c for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 6*a**2 + 20*a - 33. List the prime factors of c(-14).\nAnswer: 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 11*j**2 + 5. Suppose -3*n + 2*n - 3 = 0. Let l(a) = -4*a**2 - 2. Give n*g(d) - 8*l(d).\nAnswer: -d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/9446760 and 131\/66?\nAnswer: 103914360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1216) + 1 + 0 + sqrt(1216) + -1.\nAnswer: 16*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*o**3 - 3*o**3 - 5*o**3 + (-3*o**2 + 4*o**2 - 3*o**2)*(1593*o - 726*o - 733*o) + (-4*o**2 + 2*o**2 + o**2)*(o - 2*o + 0*o) - 3*o + 3*o + 2*o**3.\nAnswer: -270*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(272))**2*3 + -2 + 4.\nAnswer: 3266","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 66872 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 140827 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 303925, 607846, 911765, 1215682, 1519597, 1823510, 2127421?\nAnswer: 2431330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000395303256 to seven dps.\nAnswer: 0.0003953","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 4*f**3 + 0*f**3 - 3*f**2 + 3)*(4 - 4 - f + (2*f - 3*f + 0*f)*(-9 - 5 + 4)) as n*f**3 + w*f**2 + t*f + z + a*f**4 and give n.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 75\/46 and -49\/1426.\nAnswer: 1426","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -2, -3*h - 4*q + 6*q = -67. Calculate the highest common factor of h and 147.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-43)\/(-5) - (-3)\/(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0*(-3)\/9 + 5. Suppose -l - 7 = -4*v, 0 = g*l - v - v + 35. Let u be l\/(-3) - 3\/9. Solve 2*x + p = 5 + u, 0 = 5*p - 5 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3272225.07 to the nearest 10000.\nAnswer: 3270000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 173.2 (b) 33 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 + 55576?\nAnswer: 5557b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 327 and 137558.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 60 and 4981270?\nAnswer: 29887620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**2 + 11*b - 12. Let h be q(9). Find the common denominator of ((-189)\/(-10))\/(h\/(-2)) and 8\/5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2442368 divided by -7.\nAnswer: 2442368\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -166?\nAnswer: -5\/166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.7 + -4.3. Let a = 19.65 + -14.65. What is the second biggest value in a, -0.5, x?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**3 + 3*h**2 - 5*h - 2. Suppose 12 - 4 = -4*c. What is the least common multiple of 18\/(-15)*10\/c and a(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 20654 and -0.5?\nAnswer: 20654.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11119 is divided by 27.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -16*p**3 + 277*p**2*y**2 + p*y**2 + 2585*y**2 wrt p?\nAnswer: -96*p + 554*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1592704*g**3 - 1648230*g**2 wrt g?\nAnswer: 9556224","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the first derivative of f**6\/30 + f**3\/3 - 3*f + 3. Let l(h) be the first derivative of x(h). What is the second derivative of l(a) wrt a?\nAnswer: 12*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**2 + 12*j + 6. Determine y(-10).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(0 + (-1*sqrt(200)*3 + -4 + sqrt(200) + -5)**2)*3*-2.\nAnswer: -26430 - 10800*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 137 (b) 1\/8 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4283 + -4283. Solve v = -9*y - 21 + 21 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 5 = -0. Suppose -10 = 11*b - 6*b. Sort 3\/7, b, m.\nAnswer: b, 3\/7, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000597 rounded to 6 decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eebq when four letters picked without replacement from qbved.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 - 7. Suppose -u = r*d + 5, -3*u + 0 = 3. Let j = 5 + d. Solve -2*v + 19 = -5*z + 2, 3*v + j*z + 9 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00707742 to 4 dps.\nAnswer: -0.0071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 5 + sqrt(13) - (-4*(sqrt(13) - sqrt(13)*4))**2.\nAnswer: -1866 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2933 is divided by 70?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -7020, -14046, -21072, -28098, -35124?\n\"Answer: -7026*q + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/9 (b) -3\/2638 (c) 2 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 86 by 17.\nAnswer: 86\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1989979 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 4, q: 2, g: 8, h: 5}. Give prob of picking 1 h and 1 v.\nAnswer: 20\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -143 - ((-40)\/6 - 20\/(-30)). Are y and -136 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(14)\/(-2*sqrt(2)) - sqrt(7) - (sqrt(252) + -5)) + (-6*sqrt(84)\/sqrt(4))\/(sqrt(12)\/sqrt(4)*-6).\nAnswer: -13*sqrt(7)\/2 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -13351 (base 6) in base 3?\nAnswer: -2212011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y - 20. Let n be d(-16). Let g be ((-21)\/n - 3) + 1\/(-4). Solve -6\/5 + 6\/5*c**g + 9\/5*c + 3\/5*c**5 - 12\/5*c**3 + 0*c**4 = 0 for c.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(3*9\/(-135)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 139960100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b - 2*i - i - 805, -5*b + 5*i = 805. Round b to the nearest ten.\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7005 or -6969?\nAnswer: -7005","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/((-3)\/(-2)) - -1. Suppose 2*z + y = 62 + 49, -107 = -2*z + m*y. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -217*m**3 - m**2 + 198*m + 994. What is the hundreds digit of l(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -545 * 991\nAnswer: -540095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84*d + 67*d - 26*d = 387 for d.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**3 - x**2 + 1. Let h(b) = 20*b**3 + 25*b**2 - 25. Let f = 868 + -861. Suppose 45*t = 38*t - f. Give t*h(i) - 25*m(i).\nAnswer: 5*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 = 5*t - 2*v, -124*t + v = -126*t - 5 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -11\/2 or 101\/2?\nAnswer: 101\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 8764a (base 12) in base 2?\nAnswer: 101011101011011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 17258.872 rounded to the nearest 100?\nAnswer: 17300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -71 + 71 - 15*o as b*o + p and give b.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2805520211 to the power of 1\/2, to the nearest integer?\nAnswer: 52967","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10208)\/176 + 8 + (5 - 0).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-7)\/y**2)**50\/((y**1)**21*y\/(y**2*y)*y*y**(1\/4)) assuming y is positive.\nAnswer: y**(-1881\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 985 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 29\/9 + (-2)\/9. Let j be 6 - 2 - 8 - -11. Suppose w = -j + n. What is the second smallest value in 3\/4, w, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 3 + (1 + 0 + 0)*(8 - 44 - 9))*(-3*v - v + 6*v + (-4*v + 2*v + 0*v)*(0 + 0 + 2))*(1 + 2 - 6 + (-2 + 2 + 1)*(-1 + 3 + 0)).\nAnswer: -88*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 600 and 437685.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 79859326.\nAnswer: 2, 39929663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 8, x: 4, m: 4}. Give prob of picking 3 m.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 520 divided by 26\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yeeyyeyertyejxt. What is prob of picking 1 e, 2 y, and 1 x?\nAnswer: 10\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*j + 2*j = 0. Which is the nearest to -1\/14? (a) 4 (b) -2\/21 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1613 + -1615. What is the third smallest value in -2\/27, x, -1\/23?\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1247\/7988 or -1?\nAnswer: 1247\/7988","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -2000211110102 (base 3) to base 4\nAnswer: -10013133113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 48 + 168. Calculate the highest common factor of 54 and n.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 - 0 - (-24 - -57).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 149451, 298368, 447285?\n\"Answer: 148917*y + 534","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 71*k**2 + 5*k + 4. Calculate the remainder when p(3) is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -g - 28432*g**2 - 6517*g**2 + 8094*g**2 + g in the form t + w*g + s*g**2 and give s.\nAnswer: -26855","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x - 4*c + 4, 2*c = -x + c + 5. Sort x, -2, -5.\nAnswer: -5, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 180 + -1538\/5. Suppose 4*r - 3*j + 511 = 0, 4*r - j + 557 = 48. Let h = r - m. Which is the second smallest value? (a) 1 (b) h (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 6*i - 64. Let h be -3 + i\/(1 - -1). Solve -3*f = -5*x + 4 + 1, h*x - 5*f = -5 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -258, -1048, -2364, -4206, -6574, -9468, -12888?\nAnswer: -16834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the first derivative of -l**4\/4 - l**3\/3 - l**2 + 25*l + 14. List the prime factors of c(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3849 + 7\nAnswer: 3856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-58)\/(-3) + ((-4)\/3)\/4. What is the greatest common divisor of x and 57?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 - -12. Solve -4*a = -n*a - 4*x, a = x for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -2, -5, -1\/85 in ascending order.\nAnswer: -7, -5, -2, -1\/85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 323443241.\nAnswer: 11, 17, 239, 7237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from ffffff.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 1666*n - 41250. What is i(29)?\nAnswer: 7064","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -341778*h**4 + 59620?\nAnswer: -1367112*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(sqrt(418) + -2*sqrt(418)) + sqrt(418))\/sqrt(11))\/((sqrt(16)\/sqrt(4))\/sqrt(2) + (sqrt(8)\/(sqrt(4) - -1*sqrt(4)) + sqrt(2) - sqrt(2))).\nAnswer: -4*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**2 - 24*u + 7. Let p be o(17). Let g = 131 + p. Solve w = 5*j - g, -3*w - w - 10 = 2*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 3562 = -2*u, -1795 = -u + 2*j + 3*j. Let c = u + -1120. What is the hundreds digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a kilometer in meters?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11706008819 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a tonne in kilograms?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-144)\/(-60))\/(4\/10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -4 - 4. Suppose g = -4*t + 4, g - t + y = -3. Let d = -5 - g. Solve s = -d*s + 16 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*n*o**2*z + 50*n*o + n*z + 10*n + 196*o*z + 340*z wrt o?\nAnswer: -4*n*o*z + 50*n + 196*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 + 3*r**2 - 1 + 4*r - 4 to u*r + m*r**2 + s and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than 20\/117?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 86097749?\nAnswer: 47, 1831867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**4\/7 + 4176*y**3\/7 + 2188208*y**2\/7 + 8702784*y\/7 + 8686112\/7.\nAnswer: 2*(y + 2)**2*(y + 1042)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -7*c**2 + 15*c - 40. Let i be l(4). Let o be 2 + 2\/(-8)*2*i. Calculate the greatest common divisor of o and 528.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -153 divided by -9?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -175*q + 175*q + 172*q**2 - 93*q**2 + 37.\nAnswer: 79*q**2 + 37","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000020263 to 7 dps.\nAnswer: -0.0000203","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 39c3 (base 15) to base 8\nAnswer: 30055","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -11*v**3 + 47*v**2 + 173*v + 161. Let q(d) = -24*d**3 + 93*d**2 + 345*d + 321. Let g(l) = 7*q(l) - 15*r(l). Suppose g(m) = 0. What is m?\nAnswer: -14, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2 or 837\/17?\nAnswer: 837\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 6*i + 11*i - 36 = 0, -4*d - 4*i + 32 = 0. Solve 3*a - 25 = -d*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (117\/(-52) + 1)*(-2)\/(-2).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*g**2 + 2 - 358*g - 1 + 355*g)*(2 + g - 2)*(-144 + 42 + 23)*(-3 - 1 + 2).\nAnswer: 2370*g**3 - 474*g**2 + 158*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 129 = -3*w + 186. Suppose t + k = 60, -2*k - 279 = 4*t - 9*t. What is the greatest common divisor of t and w?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/((6\/(-7))\/((-20)\/35)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/4 or -164190.9?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12 + -6. Let u = 2 - -1. What is the greatest common divisor of p and u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 t, and 1 u when three letters picked without replacement from {o: 1, e: 1, t: 2, r: 2, u: 2}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + s = 16, 13*s - 26 = y + 8*s for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(-10)*c)\/(c\/((c\/(c\/(c\/(c*c\/c**7))))\/c)))**(-1\/8) assuming c is positive.\nAnswer: sqrt(c)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-43)*p\/p**(-26\/5))\/(p*p*p**(-11\/7)*p)**(11\/8) assuming p is positive.\nAnswer: p**(-5427\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 45202011 (base 7) to base 15.\nAnswer: 5257a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.01, -12, 4, 5, 8, 1.8, 2 in decreasing order.\nAnswer: 8, 5, 4, 2, 1.8, -0.01, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**3 + 5*k**2 - 8*k + 3. What are the prime factors of r(-6)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*b - 62*b - 98*b = 1449 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 6 + 0)*(2 + 3*d - 2)*(-1 + 2 + 1) to the form o + j*d and give j.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1425838 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 19*q**2 - 445*q. Let x(c) = -29*c. What is h(x(s))?\nAnswer: 15979*s**2 + 12905*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -50 - -55. Let j(a) = -6*a + 31. Let y be j(c). Differentiate y - 3 - 4 + 25*p**2 - 2*p**2 with respect to p.\nAnswer: 46*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8190\/364)\/(6\/(-4)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 5 = 3*i, -i = m + i. Suppose 3*j = 3*v + 54, -3*v + 7 = -m. Calculate the greatest common factor of 3 and j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 87*d + 89. Let k be i(-1). Which is smaller: k or 0.7?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -3, -33, -83, -153, -243, -353?\n\"Answer: -10*c**2 + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -88 + 85. Let w be (z - (-7 - -2))*3. Solve -c = 3*f + 6, 2*c - 4*f - w = -f for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -9.5 (b) -0.3 (c) -10 (d) 3 (e) -731\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 9, s: 1, r: 4}. Give prob of sequence rr.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from {z: 10, r: 2}.\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 5*v = 35, -3*v = 4*r + 2*v for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26705c (base 14) to base 7.\nAnswer: 14160145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -13*w**3 - 332*w**2*z + 1145*w*z - 15872692*z wrt w?\nAnswer: -39*w**2 - 664*w*z + 1145*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36 - 8 - 144 - 199*h.\nAnswer: -199*h - 116","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -907 - -907. Let n(g) be the third derivative of p + 3\/8*g**4 - 1\/5*g**5 + 7*g**2 + 0*g**3 + 0*g. What is the second derivative of n(l) wrt l?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - 20 - 0. Suppose 2*v - 81 = -3*o, 2*o = 2*v - 5*v + 109. Let t = 51 - v. What is the remainder when t is divided by r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33 - 33 + z**3 - 7*z**3.\nAnswer: -6*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.81 + -1.2. Let x = -0.5842 + o. What is x rounded to 2 decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2, -1, -6, -13, -22, -33?\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -417 = -3*m + k + 3*k, 5*m - k = 678. Suppose 4*z - 7*z = -m. List the prime factors of z.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2112 = -112*n - 80*n for n.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**3 - v**2 + 467. Let d be j(0). Let w = d + -262. Suppose w = 52*o - 47*o. What are the prime factors of o?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 1 w when three letters picked without replacement from {l: 2, e: 2, b: 4, w: 1}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1245118079 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of g**3 + 99607*g**2 + 26363*g + 1?\nAnswer: 6*g + 199214","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 2*k**2 - 3*k - 6. Let s(j) = j - 1. Calculate -g(v) - 4*s(v).\nAnswer: -2*v**2 - v + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 4281, 4283, 4285, 4287, 4289?\n\"Answer: 2*p + 4279","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * 248.\nAnswer: 496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**3 - 6*k**2 - 6*k + 50. What are the prime factors of o(-28)?\nAnswer: 2, 3, 41, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/(-10)*(10 - 6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 + 4 = -4*f + o - 11, -3*o - 44 = -41 - 99 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15567984 and 432?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4476767?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 32838434 divided by 157?\nAnswer: 209162","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 1\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 2 + 0 + (-2 + 0 + 0)*(1 - 2 + 2) + 3 - 3 - 2 + 3 - 2 - 2 + 1 - 4 + 1)*(1 - 6 - 6 + (1 - 2 - 1)*(2 - 2 - 1))*(-1 + 1 - k) as y + i*k and give i.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g + 7*g - 6*g)*(1 - 5 + 3) - 2 + 1678*g - 958*g - 941*g.\nAnswer: -223*g - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**2 - 6*s + 10. Let a(i) = -i**2 + 20*i + 129. Let f be a(-9). Let l = f - -139. Determine n(l).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 16 = 3*t, -3*t + 4*w + 26 = -0*w. Put 0, -4, 7, t in descending order.\nAnswer: 7, t, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/((h\/(h\/(h*h\/((h*h*h**(3\/4)\/h)\/h))))\/h*h))\/(h**23*h) assuming h is positive.\nAnswer: h**(-97\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 1, -0.05, -2\/21, 5?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5554216 - -2854540. Let j(g) = -5499676*g**3 + g**2 - g. Let b be j(1). Let d = b - a. Round d to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-24)\/(-60))\/(4\/50)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 925303017 to the power of 1\/8, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 3 - 2 + (-5 + 3 + 1)*(-1 + 2 + 1) + 1 - 4 + 6 - 2 + 5 - 4)*(l - 3*l + 0*l).\nAnswer: -10*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 + -16 + 17 + -63 + 45?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 3*o. Suppose 69*r - 55*r - 112 = 0. Let t(v) = -8*v**2 + 10*v - 2*v - r*v - 15*v**2. Determine t(l(h)).\nAnswer: -207*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12546?\nAnswer: 2, 3, 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -2*i - g + 8, 3*g = -5*i + 27. Let n be -1 + 133\/140 + i\/(-8). Suppose 0 = -4*h + 2*h + 4. Which is the closest to -2\/7? (a) n (b) -0.5 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -71 by 5.\nAnswer: -71\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27547.\nAnswer: 13, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117)*4)**2*3 + 4*2*sqrt(208) + -2)*2.\nAnswer: 64*sqrt(13) + 11228","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 5 - 96*l**2 + 90*l**2 + 7*l**3 to q + f*l**3 + j*l + w*l**2 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-12))\/(70\/(-40))?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -374 < 74585?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3 + 1 + -6 - -227. What is the greatest common divisor of n and 75?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 126544 and 976?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 62) + (-56 - (-265 - -222)).\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -6, -3, -2\/3, 9?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 10*i**2. Let m(b) = -32*b + 5. Let n(u) = 221*u - 34. Let d(o) = 34*m(o) + 5*n(o). What is d(g(a))?\nAnswer: 170*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -97, -109, -121, -127, -121, -97?\n\"Answer: i**3 - 6*i**2 - i - 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (2*(-3*-1*sqrt(99) + sqrt(99))*6)\/(-2*sqrt(81)*-2 + -3*(1*sqrt(81) + sqrt(81) + sqrt(81)) + sqrt(81)).\nAnswer: -4*sqrt(11) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -45*n**3 + 6*n**2 + 3*n + 4. Let h be w(-3). Let a(i) = -i**2 - 8*i - 8. Let q be a(-7). Is (q\/(-2))\/(4\/h) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 78436?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 a factor of 12616?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17, -63, -139, -245, -381, -547, -743?\nAnswer: -969","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes after 7:33 PM?\nAnswer: 5:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 832*b - 836*b - 9 = -4*g - 29, 0 = -g + 3*b - 7 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the second derivative of 2*a**3\/3 - a - 2. Let o(u) = -515*u - 1. Calculate o(c(b)).\nAnswer: -2060*b - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -995, -998, -1001?\n\"Answer: -3*t - 992","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((t*t**(-2\/13)*t)\/t)\/t)\/t*t)\/t**17 assuming t is positive.\nAnswer: t**(-223\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -58*(3 + (0 - 2)). Let j = -103 - t. What is the tens digit of 12\/16 + j\/(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/21? (a) -1\/4 (b) 35 (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10740555 and 11025.\nAnswer: 2205","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5\/3*(-10)\/(-25). Determine s, given that -f + 1\/3*s - 1\/3*s**3 + 2\/3*s**2 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 1 + 15 = 2*d, 3*d + f = 17. Let m = -2 + d. What is the least common multiple of m and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -4*r**3 + 3*r**2 + 2*r. Let u be z(-1). Let s(b) = -b**3 + 5*b**2 - 2. Determine s(u).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4, -60, -39, 2, 14 in decreasing order.\nAnswer: 14, 5, 2, -4, -39, -60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -41 >= 3466872?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + 5525\/(-793) + 50804\/(-1586) + 24?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 38, 60, 104, 176, 282, 428?\nAnswer: 620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 66 + -58. Suppose -i*g + 8 = -4*g. Differentiate 4*l**2 + 2*l**2 - l**g - 3 wrt l.\nAnswer: 10*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 + 0 - (4 + (3 - 7)). Solve u*c - 2 + 4 = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 - -9. Suppose f - b = 2*f. What is the units digit of 13\/(3*f\/(-9))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 4 = c, -4*y + 2*c - 8 = 0. Let h be 15*(0 - 1\/y). Suppose -q - 24315 = -h*a - 312, -5*a + 3*q = -24009. Round a to the nearest one thousand.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w + 3, -4*k + 24*w - 27*w = 41. Sort -6, k, -4, 4.\nAnswer: k, -6, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sszsszbszbzszzs. Give prob of sequence bzsz.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 278 = -2*q - 18, -3*l + 190 = 5*q. Calculate the smallest common multiple of l and 132.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44\/5 of a decade in years?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u + 8. Let j be z(-5). Suppose 0 = -3*v + 5*g + 64, -5*v + j*g = -84 - 44. What is the smallest common multiple of v and 14?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -10*a**2 + a - 179. Let n(l) = 3*l**2 + 51. Let c(m) = 7*n(m) + 2*t(m). Let q(z) = 3*z - 1. What is -3*c(x) + 4*q(x)?\nAnswer: -3*x**2 + 6*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 320*z**3 - 707*z**3 - 4979*z**4 + 387*z**3 + 366*z + 258*z + 4 wrt z.\nAnswer: -59748*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p**5\/p)*p)\/(p\/((p\/p**(2\/17))\/p))*(p\/(p**(-3)*p))\/p**(-5))\/(p**(1\/4)*p*p\/(p*p\/(p\/(p*p**6*p))*p)*(p**(-8\/3)*p)\/(p*p**4*p)) assuming p is positive.\nAnswer: p**(4141\/204)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0.84, -245.2 in decreasing order.\nAnswer: 3, 0.84, -245.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fi when two letters picked without replacement from efiiiif?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 880 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: Is -4\/7 bigger than -12\/223?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5 + (0\/1)\/4. Solve -3*j + y*d = 8, -d = -3*j - 2*d - 2 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-117)\/16*(-2)\/6 and 107\/24.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 74180*h**2*t**2 + 409*h**2*t - 9*h*t wrt t.\nAnswer: 148360*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -63, -55, -35, 3, 65, 157, 285, 455?\n\"Answer: q**3 + q - 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-152)\/(-16) - (-6)\/(-4). Which is smaller: 6 or r?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 337*r - 52. Let m be x(11). What is the greatest common factor of m and 860?\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q and 1 i when four letters picked without replacement from {c: 7, i: 3, q: 8}?\nAnswer: 14\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -27\/56 and -43\/40.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-20)*10\/(-4).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 + 17. Let t = -10 + k. Which is the third biggest value? (a) 2\/3 (b) -1\/3 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -34 - -33.5. Sort 10, y, -2 in increasing order.\nAnswer: -2, y, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:18 PM and 6:05 PM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 9 = g. Suppose 0 = -0*v - g*v + 320. Suppose 5*y - 420 = v. What is the greatest common factor of y and 40?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:00 AM and 8:25 PM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 21824760 and 240.\nAnswer: 43649520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 140*g + 35599 - 28599 = 0 for g.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kxss when four letters picked without replacement from {s: 6, f: 1, n: 1, x: 1, i: 1, k: 1}?\nAnswer: 1\/264","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f\/(f**(1\/11)*f)*f)\/f)\/f**(-13\/5))\/(f**(-8\/7))**(-3\/10) assuming f is positive.\nAnswer: f**(1219\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -584, -1168, -1752, -2336, -2920, -3504?\nAnswer: -4088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -2*c. What is the remainder when 70 is divided by q(-12)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**2 - 19*g + 92. Give q(13).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-53)\/(371\/(-10)))\/(4\/14)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -58788 plus 424.3025?\nAnswer: -58363.6975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**2 + 5*s + 8. Let o be b(7). Let a be 30\/14 + (2\/(-7))\/2. Let y(n) = -a + 14 - 2 - 6 + n. Calculate y(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/1 - -6) + (-512)\/(-160) + -10?\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, u: 6, v: 2, o: 1, d: 3, q: 1}. What is prob of sequence udqa?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -150295*a**3*u**3 + 28433*a**3*u**2 - 18*a**2*u**5 + a**2*u**2 - 19*u**2 wrt u?\nAnswer: -901770*a**3 - 1080*a**2*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-1*sqrt(5) + 3)**2.\nAnswer: -42 + 18*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 111 + -114 + (-62 - (3 - 6) - 1 - -3)?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3850\/(-600)*4\/22?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 797402 and 2288336?\nAnswer: 1598","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from {j: 1, x: 12, t: 1, i: 2, q: 2, r: 2}?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**0\/v)\/v*v**6)\/(v**3*v*v**(2\/7)\/v) assuming v is positive.\nAnswer: v**(5\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5211 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*o**2 + 2*o**2 + 13*o - 10*o + (71 + 7*o - 71)*(3*o - 7*o + 2*o).\nAnswer: -16*o**2 + 3*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes before 1:36 AM?\nAnswer: 12:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 140, -5, 2654, -9 in decreasing order.\nAnswer: 2654, 140, -3, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 3 + 7 = 5*z, -z = f + 4. Suppose 3*t - 11 - 58 = z. Let x(g) = -21*g + 3. What is the remainder when x(-3) is divided by t?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -66 - -96. Let i = 27 - q. Which is the smallest value? (a) -2\/5 (b) i (c) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10955518787 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1944 divided by -1598?\nAnswer: -972\/799","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -182*h - 9098. Suppose 258 = 2*l + i - 245, 0 = -5*l - 5*i + 1255. What is the lowest common multiple of l and t(-50)?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000601 to 4 dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**2 - 5*s + 8. Let t be y(-6). Suppose 11 = m + 5*z, 0 = 5*m + 2*z - 0*z - 32. Find the second derivative of k**5 - k - 6*k**t + m*k**2 wrt k.\nAnswer: 20*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2718\/7 - 388. Which is the closest to -0.1? (a) 0.06 (b) -2\/15 (c) 4 (d) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20567 to the power of 1\/3, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2475*i = 323*i - 92536 for i.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*d + 3*d + 2 + 10*d + 17 - 3.\nAnswer: -2*d + 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -3*a**2 + 19*a + 17. Suppose -p = -3*p + 14. Let g be v(p). Solve -25 = g*b - 13 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -101.665 to zero dps.\nAnswer: -102","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -100101 (base 2) to base 7\nAnswer: -52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-31)\/6 - (-1015)\/870. Let o = -1\/30 - -8\/15. What is the second biggest value in -2\/63, o, s, -1\/5?\nAnswer: -2\/63","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 11536, 46160, 103872, 184672, 288560, 415536, 565600?\n\"Answer: 11544*q**2 - 8*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 134497 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 19 - 12. Suppose m*k - 2*k = 5*b + 70, 2*b = 5*k - 64. Suppose -5*s = 5*d - 20, 4 = 4*s - 4*d + k. Solve -s = -a + 4 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p - 3*p**2 - 6*p + 7*p. Let x(s) = -3*s. What is x(f(g))?\nAnswer: 9*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 4*l - 15. Let f = -17 + 23. Let d be c(f). Suppose -7*p = -d*p - 51800000. What is p rounded to the nearest one million?\nAnswer: -26000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the second derivative of 1\/2*v**3 + 0 + 123*v + v**2 - 1\/20*v**5 + 5\/12*v**4. Suppose -10 = 3*w - 5*w. Give l(w).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 54 = -15*j. Let q = 3 + 0. Calculate the highest common factor of j and q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 313 (base 4) to base 14.\nAnswer: 3d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(13\/4)\/n)\/(n**(1\/22)\/n))\/(n**8\/(n**13*n)))**2 assuming n is positive.\nAnswer: n**(405\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes before 2:33 AM?\nAnswer: 12:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**3 + 2*a**2 - 4*a - 2. Suppose 3*b - 17 = 3*w - 11, -2*w = 2*b + 12. Let r(y) = -2*y**3 + 2*y**2 - 5*y - 3. Calculate w*r(t) + 5*x(t).\nAnswer: 3*t**3 + 2*t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**2 - 4*h + 58. Let u be r(8). Suppose 760 = 5*z - 3*x, -3*z + x - 2*x = -470. Let n = z - u. What is the tens digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -81298, -162390, -243272, -323944, -404406?\nAnswer: -484658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 74274?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**3 - 22*x**2 - 26*x - 24. Is h(-21) a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1742536?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.6 + 4.6. Suppose 2*o + i - 9 = 5*o, 0 = 3*i - 9. What is the third biggest value in o, -3, u?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 + -1. Let f be (5 - (-27)\/(-6))\/(9\/12). What is the smallest value in a, -5, f, -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 - 9. Let r be (-21)\/6*400\/j. Round r to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -7 - -76?\nAnswer: 6a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l + 15 = -a, 5 = -4*l + 5*l + 2*a for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 + -19. Suppose -17*p = -28*p - 462. Let o = r - p. Does 16 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -15*a - 2 + 29*a + 38*a + 19*a. Let z(v) = 2*v**3 - 2*v + 1. Let s be z(1). Is 9 a factor of w(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 2*w + 3*w - 2*w)*(62*w**2 - 29*w**2 - 6158*w + 6183*w) in the form c*w + j*w**3 + k*w**2 + s and give k.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1364, -5143, -11438, -20249, -31576?\nAnswer: -45419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (-13 - -23 - 7)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 8, 6, -5 in decreasing order.\nAnswer: 8, 6, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -934\/9 - -104. Let v = 1.4 + 8.6. Let y = 9.8 - v. Which is the nearest to 1\/2? (a) y (b) p (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:07 PM and 10:45 PM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-1)*f*f**(-1))\/(f\/f**(-4\/3)*f\/(f*f**(2\/13))))\/(((f\/f**(-2))\/f*f**(-4)\/f)\/(f**(-1\/5)\/(f\/f**(-3\/4)*f))) assuming f is positive.\nAnswer: f**(-2441\/780)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uzuuuuzuuuuuuzuu. Give prob of sequence uzz.\nAnswer: 13\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -18*o. Let n be (2*(-6)\/(-8))\/((-12)\/(-168)). Suppose n*r + 24 = 18*r. Let c(b) = -6*b. Determine r*c(p) + 3*a(p).\nAnswer: -6*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 908288017 to the nearest integer?\nAnswer: 968","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 6708 a factor of 362565080?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 10.7, 75, 2, -0.05, -2\/63, 0 in descending order.\nAnswer: 75, 10.7, 2, 0, -2\/63, -0.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (2135*l - 831*l - 472*l - 4*l**2)*(0 - 4 + 0)*(0 - 5 + 3) as t*l**2 + u*l + x and give u.\nAnswer: 6656","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + 4 - (14 + -21 + 15)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 2*g**2 + 8. Let k(u) = 3569*u**2 - 7138*u**2 + 3601*u**2. Calculate k(m(a)).\nAnswer: 128*a**4 + 1024*a**2 + 2048","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.151 + 2.151. Let h(t) = t**3 + t**2 + 1. Let y be h(-2). Which is the closest to 3\/4? (a) f (b) -3\/2 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11656, 23353, 35056, 46765, 58480?\nAnswer: 70201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 744 and 72?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 891?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -15 + 11. Let q = a - -6. Which is bigger: 1 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g*g*g**(3\/2)*g*g*g)\/g)\/g*g**(-1\/14))**21*g**(-1\/2)\/(g\/((g*g**(2\/3)*g)\/g*g))*g\/(g**(1\/2)*g*g*g*g*g)*g**(-2)\/g assuming g is positive.\nAnswer: g**(323\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1328381?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 3*g - 35 = -s, 5*g = -4*s + 15. Suppose -s*y + 12*y = 4*z, 0 = -2*z + 6. What is the greatest common divisor of y and 48?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5811?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 210537 and 9.\nAnswer: 210537","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**2 + 5*v + 17. Let k be g(7). Let a(r) = 4*r**3 - 4*r - 2. Let i(h) = -5*h**3 + 5*h + 3. Give k*a(s) + 2*i(s).\nAnswer: 2*s**3 - 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 877465 is divided by 23619.\nAnswer: 3562","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2619871 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**2\/7 - 9189660*q\/7 - 7037487576300\/7.\nAnswer: -3*(q + 1531610)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**4 + 787*u**3 + 64362*u**2 + 247972*u + 244808.\nAnswer: -(u - 862)*(u + 2)**2*(u + 71)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10 - -11. Are 12\/11 and g non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/(y\/y**(2\/17))*y**16\/y assuming y is positive.\nAnswer: y**(257\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 354.497 to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 4*r + 484 - 503 = 0, 9 = -b + 2*r for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2210955918.\nAnswer: 2, 3, 368492653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -315 - -10385\/33. Let l = t - -4\/33. Let s = -4.5 - 1.5. Which is the smallest value? (a) s (b) 2\/7 (c) l (d) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 849.6364 nanograms to grams.\nAnswer: 0.0000008496364","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -4*s**2 + 6*s**2 - 3 + 0*s**2 + 4 + 2*s. Let r be k(-2). Suppose 11 = 3*d - 6*w + 2*w, d = -r*w + 10. Is d a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 792 (base 10) to base 5.\nAnswer: 11132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 10260\/570*(-2)\/(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k + 8. Let b be l(6). Suppose b*m = 5*s - 25, -4*s + 9 + 8 = -m. Let n(t) = 1 + t**s + 0*t**3 + 5*t + 0*t**3 + 5*t**2. Give n(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*28\/105 + 1\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 296998*t**2 - 371412*t**2 + 1431894*t**2.\nAnswer: 1357480*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 130956798?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/4 or 37?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 126178278?\nAnswer: 2, 3, 19, 1106827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 328*t - 326*t = -11*j + 615, t + j - 60 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:04 AM and 6:48 AM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 136 and 6902?\nAnswer: 27608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1870*d**5 + 4*d**2 - 406.\nAnswer: 112200*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/(-3) + (-3352)\/(-24). Calculate the remainder when 19 is divided by p\/(-15)*6\/(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 5*c**3 + 6235*c**2 - 6240*c = 0.\nAnswer: -1248, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -46075\/9 + 5112. Let t be 1\/(-5) + 879\/4305. Let f = 45854\/15785 + t. Find the common denominator of f and b.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 8*v**4 - 23*v - 4 - 44*v**2 - 19*v**2 + 41*v**2 = 0. What is v?\nAnswer: -1, -1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*7\/14 - 1\/2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 2 - 1)*(n + 2*n - n) - 5 + 8 - 5622*n + 2866*n to the form d*n + b and give d.\nAnswer: -2752","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the third derivative of d**5\/15 - d**4\/24 - d**2. Let x be (-1)\/3 + (-28)\/6. Let k = x - -4. Determine v(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 10\/3 (b) 0.4 (c) -18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/3*-54*(-3)\/45.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -p**4\/8 - 2797*p**3\/8 - 58149*p**2\/4 - 405671*p\/2 - 944965 = 0.\nAnswer: -2755, -14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(72) + (sqrt(72) - -2*sqrt(72)) + 5)**2 + 0)*-6.\nAnswer: -7062 - 1440*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 30616.2 milligrams in tonnes?\nAnswer: 0.0000306162","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -474894 - 408834 = -19*z. List the prime factors of z.\nAnswer: 2, 3, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -160672600 divided by -4?\nAnswer: 40168150","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9746 is divided by 4455?\nAnswer: 836","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 11246 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 + -4. Let q = -0.1 - -0.2. Let d = 1\/71 + -149\/497. Sort q, d, t.\nAnswer: t, d, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 5*v**2 + 4*v + 4. Let u(n) = 6*n**2 + 5*n + 5. Let t(c) = -5*g(c) + 4*u(c). Let f = 2 + 0. Let k(j) = -3*j**2 + 0*j**2 + 2*j**f. Calculate k(t(r)).\nAnswer: -r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c when three letters picked without replacement from vvcvccvcccccv?\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 74643 plus -0.23?\nAnswer: 74642.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22561, -22587, -22631, -22693, -22773, -22871?\nAnswer: -22987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -158 - 157 - 159 + 65*h + 638 - 164.\nAnswer: 65*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b + 2. Let i be c(-2). Calculate the highest common divisor of 4 and i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 6 - 1 = 0. Let s = n - 2. List the prime factors of s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 l when two letters picked without replacement from {l: 2, d: 4, o: 1, a: 3}.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the first derivative of y**2 - 4*y + 4. What is the units digit of l(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1022 and 876.\nAnswer: 6132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 59 and 319826197?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21244*w**3 - 42381*w**3 + 21162*w**3.\nAnswer: 25*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 3 = -1. What is the second biggest value in -5, f, 4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(2 + (sqrt(1100) - (-1 + 0 + sqrt(1100))) - (-5 + 5 + -1 + sqrt(1100)))**2.\nAnswer: -3348 + 240*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 371*c - 65*c = -366*c + 129*c + 29865 for c.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 1792999?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -2*y**2. Let u(l) = 33 + l**2 + 9*l**2 + 6*l**2 - 15*l**2. Calculate m(u(t)).\nAnswer: -2*t**4 - 132*t**2 - 2178","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*c**4 - 6*c**2 - c**4 + 16*c**2 + 3*c**4 + 2 as i*c**4 + y*c**2 + s*c + o + v*c**3 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -26 - -28. Suppose i*b = -g + 26, 2*g - 5*b + 4 - 20 = 0. Calculate the remainder when g is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 544 and 10863?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4217 + 2115 - l + 2102.\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -353.8 * 12872\nAnswer: -4554113.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, b: 1, k: 1, a: 1, l: 1}. Give prob of picking 1 a and 1 b.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 2 i when three letters picked without replacement from mioioiiohgomigoioioo.\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7637\/(-2182)*(-96)\/14.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -80\/609 and 38\/3219?\nAnswer: 22533","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c - 4. Let g be f(-13). Let m = -79\/9 + g. What is the third smallest value in -1, m, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 183739 and 4214?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -700, -899, -1098, -1297?\nAnswer: -1496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9845.941 years to decades.\nAnswer: 984.5941","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j + 15 = -5*m, 4*j + 21*m - 23*m - 2 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y = -4*v + 18, -4*y - 5*v - 15 = y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 279013 is divided by 37?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.9317578 rounded to 3 decimal places?\nAnswer: -6.932","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (1*sqrt(272))**2.\nAnswer: 273","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11 - 421020?\nAnswer: -421031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 233767921?\nAnswer: 61, 509, 7529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:16 AM and 12:01 PM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*g**2 - g**3 - 2*g**2 - 103*g + 226*g**4 + g**3 + 58*g**4 wrt g?\nAnswer: 6816*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.83 (b) 3\/5 (c) -0.4 (d) 122 (e) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2481 - 1422 + 2514)*(-5*d**2 + 2*d**2 + 5*d**2).\nAnswer: 7146*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -22 - ((22 - -1) + -3 + -142 + -1).\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -1701*x**2. Let b(u) = -u. Determine z(b(y)).\nAnswer: -1701*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + 4 - a + (-3 + 4 - 2)*(0*a + 2*a - a + (4 + 2 - 4)*(a - 4*a + 0*a)).\nAnswer: 4*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l**3 - 5*l**2 + 8*l + 12 = 0.\nAnswer: -6, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/9*(-6)\/(-8). Let o(w) be the second derivative of y*w**2 + 1\/3*w**3 + 2*w + 0. Find the first derivative of o(x) wrt x.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes before 7:32 PM?\nAnswer: 8:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.145 - -58.145. Let t = 57.7 - l. What is the fourth smallest value in 0, t, 1, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes before 10:56 AM?\nAnswer: 6:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -54917, -219931, -494965, -880025, -1375117, -1980247, -2695421, -3520645?\nAnswer: -4455925","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -11*f - 10. Let u = -40 + 52. Let w(z) = 27*z + 24. Let v(h) = u*g(h) + 5*w(h). Let q(t) = -t**2. Determine q(v(a)).\nAnswer: -9*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -4*1 - 66\/(-16). Which is the third smallest value? (a) m (b) 0.04 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1975, 12 in ascending order.\nAnswer: -1975, -2, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 1 - k)*(1 - 2 + 2) - 3*k + 15*k + 0*k + k - 2*k - k)*(32*k**2 + 10*k**2 + 2*k**2).\nAnswer: 396*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.837021 rounded to 1 dp?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13133 (base 7) to base 2.\nAnswer: 110110101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.533 - 6.467. Let j = -7.1 - -3. Let s = j + 4. Which is the closest to s? (a) 2 (b) -0.4 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 6 - -1220?\nAnswer: 1226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 - 2*h + 4)*(1792 + 716*h + 2328 - 718*h) to the form n*h + g*h**2 + q and give g.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a = -5*w + 155, -5*w + 192*a - 197*a = 205 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 118149020*h**5 + 345786557*h**2 wrt h?\nAnswer: 7088941200*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 0*q - 3*q = -7, 2*y = -q - 6. Let d(n) = -3 - n**3 - 5*n**2 + 3 + 1. Let j be d(y). Calculate the greatest common divisor of j and 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**3 - 5*s**2 + 6*s - 3. Suppose -27 = -5*m - 7. Let q = m - 10. Calculate j(q).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1272 and 96.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*i - 7862 = 5288. Let p = i + 1238. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 + 5 = 4*f. Suppose 2*b + f = 0, -3*j = -b - 82 - 100. Let r = j - -55. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h + 79 = 95. Solve -16 = h*o + 3*k, 2*o + 3*k + 2*k = -24 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -197*d**4 - 211*d**4 - 26 + 363*d**4 wrt d?\nAnswer: -180*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a milligram in micrograms?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -13454, -27147, -40732, -54155, -67362, -80299, -92912, -105147?\n\"Answer: 9*l**3 - 13756*l + 293","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/12434 at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33 divided by 2.\nAnswer: 33\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.8 + -1. Let a = -3.7 - -4. What is the closest to -0.1 in u, a, -3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*z + 3*z - 2*z - 2*z - z + 5*z + (0 - 3 + 4)*(4*z + 0*z - 2*z) + 578 - 287*z - 578 in the form p + s*z and give s.\nAnswer: -280","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-1953)\/42)\/(1\/12). Let g = j + 551. Let y(d) = d**3 + 6*d**2 - 9*d - 8. Give y(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 31 - 6. Let c be 0 + -1 - -2 - 47. Let j = c + d. What is the common denominator of 95\/2 and j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 38.7 + 124.3. Let s = l - 57. Let t = -105.999828 + s. What is t rounded to 5 dps?\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence we when two letters picked without replacement from {n: 1, e: 1, z: 2, w: 2, j: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sum 997.8815342 and 1.3578.\nAnswer: 999.2393342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*m**3 + 6 - m**3 - 6.\nAnswer: 11*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -304, -607, -910, -1213, -1516?\n\"Answer: -303*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 266781782.\nAnswer: 2, 17, 7846523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -2*d - 59. Let s(v) = 18*v + 134. Let f(j) = 3*h(j) + s(j). What is f(7)?\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 29551544?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**3 + 4*b**2 + 4. Let k be w(4). Suppose -k*p - 4660 = 3*l, -3*p + 2*p - 1156 = 3*l. List the prime factors of (-20)\/(-150) + p\/(-15).\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (8*y + y - 2*y)*(1801 + 2709 + 622 + 516) in the form h + z*y and give z.\nAnswer: 39536","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 - (69 - (50 - 23))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00011566 rounded to six decimal places?\nAnswer: -0.000116","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*p**4 + 5*p**4 + p**4 + (-2 + 0 - 1)*(5*p**4 + 3*p**4 - p**4).\nAnswer: -18*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((-4)\/6)*(81\/72)\/(4977\/(-2212)).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -7*o**2 - 6*o. Suppose -203 + 70 = -19*a. Let i(t) = -8*t**2 - 7*t. Let h = -73 - -67. Determine a*q(p) + h*i(p).\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0 (b) 1\/3 (c) 1165\/3 (d) -0.11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5180 and 3330?\nAnswer: 46620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 43851 to the power of 1\/3, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.5 - 6.62. Let h = r - -2.52. Let b be (1\/5)\/(1\/(-3)). Is h greater than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjjjj. What is prob of sequence jjj?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*l + 22*l + 35*l = 70 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the first derivative of x**3\/3 - 3*x + 11. Determine p(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 3*j + 6. Let y(l) = 3*l + 7. Let o(a) = -4*s(a) + 3*y(a). Let p be o(-2). Suppose 0 = -p*w - z + 16, 0*w + 4*z = 3*w - 26. Is w a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.01 - 38.99. Let o = b + 38.99999981. What is o rounded to seven decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 2*m - 9. Suppose -4*b - 4*y = -2*y - 20, -5*y = -b + 16. Let j be 518\/(-63) - b\/(-27). Let n be 42\/(-49)*(1 + j). Determine o(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 41*c - 4080. Give m(100).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6400 (base 7) to base 2.\nAnswer: -100011001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -7*o - 45. Let l be z(-9). Solve -3 = -5*f - l for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.18 - -18.42. Let z = o + -18. Let s = 1.599982 - z. Round s to 5 decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14354 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes before 10:17 PM?\nAnswer: 11:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 3402, 3484, 3566?\n\"Answer: 82*l + 3320","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6345 - -6145. What is the third biggest value in 1\/2, 5, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -6*d - 2. Let y be j(-1). Suppose 0 = -y*h - 12, 4*h + 78 = 2*q - 76. What are the prime factors of q?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**(-2\/9)*u)**(-6))**48 assuming u is positive.\nAnswer: u**(-640)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9676 divided by 2.\nAnswer: -4838","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 31746 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the second derivative of 70*g**7\/9 + 847*g**6\/18 + 69*g**5 + 685*g**4\/36 - 130*g**3\/9 - 10*g**2 - 3*g - 17. Find p, given that f(p) = 0.\nAnswer: -3, -1, -2\/7, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f - 2*f + 5*f. Let a be (-4)\/(-10) + 1659\/15. Is f\/1 - (-4)\/(4\/a) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16 - 14.9. Let b = -1.5 + h. Sort b, -1\/6, 2\/11.\nAnswer: b, -1\/6, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16415797 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 664, 626, 630, 712, 908, 1254?\nAnswer: 1786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -76\/5 + 2\/5*g**2 + 34\/5*g.\nAnswer: 2*(g - 2)*(g + 19)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 96*l - 97*l + 2. Let n(r) = 17*r**2 - 9*r - 3. Let p be n(l). Sort -1, 2, p, 5 in descending order.\nAnswer: p, 5, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 490828 divided by 52\nAnswer: 9439","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10\/7, 4, 20\/7, -2\/3, -2\/9 in descending order.\nAnswer: 4, 20\/7, 10\/7, -2\/9, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/c**(-19\/5)*c\/(c\/c**(-2)*c*c)*(c\/c**(-29))\/c**27 assuming c is positive.\nAnswer: c**(19\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -302313 + 122102233?\nAnswer: 121133320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8622 and 303066.\nAnswer: 145168614","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h**4\/4 + 117*h**3\/2 - 4995*h**2\/4 + 4107*h = 0. What is h?\nAnswer: 0, 4, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5496 in -3\/4, 3\/5, 5, -4, -3\/2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*a - 16*a**2 + 8*a**2 + 4*a**2 - 2*a + 41*a.\nAnswer: -4*a**2 + 42*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - r + 2 = 0, -2*h + 5*r = -0*r + 10. Suppose 2*f + 2*f = 4. Let z(j) = -f - 2*j + 2*j + 3 - j**2. What is z(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and 35?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5841 is divided by 2861.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.19, 3, 0.1, -1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14\/9)\/7*((-12)\/580)\/(4\/20).\nAnswer: -2\/87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -504474, -504330, -504186, -504042?\nAnswer: -503898","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**3 + 4*y**2 + 2. Let g be u(-4). Is 5 a factor of g\/((-4)\/(-18)) + -3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -111 greater than or equal to 1377?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 b when two letters picked without replacement from {z: 8, b: 5, g: 4}?\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.48439831 rounded to four dps?\nAnswer: -0.4844","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 798743 less than or equal to 798743?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2\/17)*s**(-1\/2)*s**(2\/9)\/(s**4*s*s))\/(s**8\/(s\/s**(4\/11)))**(-10\/9) assuming s is positive.\nAnswer: s**(6013\/3366)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/12*88\/(-396)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 16\/4 + -2 + -1. What is the tens digit of (-1 + 36 + t)\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/268785 and 1\/2871.\nAnswer: 7794765","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -10 - -12*(7 + -6). What is the nearest to 4 in 2\/215, -0.1, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9353.09 rounded to the nearest one thousand?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 1 u when three letters picked without replacement from {l: 1, r: 2, u: 2, g: 4, a: 3}?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3408162*m**2 + 97167288 with respect to m.\nAnswer: -6816324*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - -10) + -10 - -8.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 2*b - b + 5, -b + 1 = 2*k. Let c be 1 + 1 - k - -1. Suppose 20 = -0*t + c*t. Calculate the remainder when 29 is divided by t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -975 = 3*n - 978. Let u(f) = f**3 - 1. Let a(w) = -126*w**3 + 58. Let v(r) = n*a(r) + 3*u(r). Differentiate v(y) wrt y.\nAnswer: -369*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**3 - 50*l**2 - 49*l - 52. Let x be s(51). What is the highest common divisor of x and 130?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -11*d**5\/4 - 64447*d**4\/4 + 134845*d**3\/2 - 11726*d**2 = 0. What is d?\nAnswer: -5863, 0, 2\/11, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the third derivative of -111*z**5\/10 + z**4\/12 - 7*z**2. Let y be l(-3). Round y to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2, -1, -4, -2 in descending order.\nAnswer: 3, 2, -1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4781427375.\nAnswer: 3, 5, 103, 123791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0004174 to 4 dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 415?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-75)\/9 + 2\/6. Let v = 5 + d. Let s(j) = j**3 + 4*j**2 + 3*j + 4. Determine s(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21 + 120010?\nAnswer: 112212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*i - 5*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*l - 9. Suppose f = l*f - 24. What is the second derivative of 13*m**3 + f*m - 3*m**5 - 13*m**3 wrt m?\nAnswer: -60*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 603 divide 127330830?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*w**3 + w**3 - 4*w**3 + (0*w + 2*w - w)*(2*w**2 + 0*w**2 - w**2)*(3 + 0 - 1).\nAnswer: 3*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7162 and 12375.\nAnswer: 88629750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 62200 rounded to the nearest ten thousand?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-95 - 16)\/((-6)\/4). Let j = -34 + t. What is the greatest common divisor of 320 and j?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the first derivative of f**4\/4 + 2*f**3 + 3*f**2\/2 + f + 6. What is v(-5)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -237603, -475211, -712819, -950427, -1188035, -1425643?\nAnswer: -1663251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1794325, -1794324, -1794323, -1794322, -1794321, -1794320?\n\"Answer: w - 1794326","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14 - 25. Let n(g) = -g**3 - 12*g**2 - 12*g - 7. Let m be n(d). Solve 2*p + 0*p + m = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/8, -2\/1501, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 3 - (1 - -2)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -82, 20.9, 2\/43, -19, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the first derivative of -81*k**4\/4 - 1826*k - 1420. What is the first derivative of j(x) wrt x?\nAnswer: -243*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 2*n**2 + 2*n - 3. Let j = 23 + -20. Let o be x(j). Suppose 5*a + 3*w - o = -1, w = 3*a - 12. Solve -g = 0, z - 3*z - a*g + 2 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -22561068.2 to the nearest 1000.\nAnswer: -22561000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 5049, 10205, 15375, 20565, 25781, 31029?\n\"Answer: g**3 + g**2 + 5146*g - 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 6*((-1*sqrt(1053)*-5 - -4*sqrt(1053)*-2) + (sqrt(1053) + sqrt(1053)*-1 + 1)*-1))**2 + -2.\nAnswer: 972*sqrt(13) + 341179","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6300?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2\/13 (b) -115 (c) -43 (d) 3\/2 (e) 0.5 (f) 0.075\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c - c + 3*c + (-5 - 1 + 4)*(0*c - c + 0*c))*(4*c - 2*c**2 - 4*c)*(3*c + 5 - 5).\nAnswer: -18*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(0 + (sqrt(15)\/(1*sqrt(3) + sqrt(3))*1 - (sqrt(160)\/sqrt(8) - (-2*sqrt(5) + sqrt(5) + 5)))**2)*4 + 2.\nAnswer: -500*sqrt(5) + 1127","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3812 + 102979\/27. Calculate the common denominator of 19\/87 and d.\nAnswer: 783","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 178509974*b + 462224088.\nAnswer: 178509974","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 142*l + 0*l**2 + 179*l**3 - 4*l**2 - 180*l**3 + 4*l**2 - 2 to n*l**3 + f + x*l**2 + h*l and give h.\nAnswer: 142","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 102568924?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**4 - 45*f**3 + 169*f**2 - 207*f + 82.\nAnswer: (f - 41)*(f - 2)*(f - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 755, 2900, 6475, 11480, 17915, 25780?\n\"Answer: 715*s**2 + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n = -v - n + 13, 0 = -3*v - 4*n + 1. Solve v*g = -g + 8 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10010111111111 (base 2) to base 3.\nAnswer: 111100021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -48 - -80. Let j = v - 28. List the prime factors of (3 - (j + -2)) + 35.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -415, -825, -1235?\nAnswer: -1645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12299 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 - c + 0*c - 16*c + 0*c + (-8 + 3 + 1)*(0*c + 2*c - c).\nAnswer: -21*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1 times -1.88\nAnswer: 1.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 12*f**3 + 13*f**3 + 3)*(2*f**2 + f**2 + 5*f**2).\nAnswer: 8*f**5 - 8*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 937*k**5 - 177*k wrt k?\nAnswer: 18740*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 14.4 times 12\nAnswer: 172.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 932995956*f**2 - 195*f - 979975 wrt f?\nAnswer: 1865991912","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - w + 11 = 51, -3*h = -2*w - 17. Let b = 14 - h. Suppose -2945 = -b*k - 5*d, 2*k = 4*d + 1521 - 361. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 109245163 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -12730000 to the nearest 100000.\nAnswer: -12700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -48691212, -97382422, -146073632, -194764842, -243456052, -292147262?\nAnswer: -340838472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1609.4086 from 0.04504.\nAnswer: -1609.36356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, 1, 5.\nAnswer: -5, 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 8 = 0, 1076 = -4*r + 8*r - 4*p. What is the highest common divisor of 5 and r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the first derivative of -2*b**6\/15 - b**4\/6 + 3*b - 2. Let v(x) be the first derivative of a(x). Find the third derivative of v(p) wrt p.\nAnswer: -96*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 750 + -176. Put 0, n, 1 in increasing order.\nAnswer: 0, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11 - -5. Calculate the remainder when 46 is divided by b.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*c - 2*c. Let p = c - -17. Suppose 4*i - 4 - 18 = -5*s, 5*s = -2*i + 16. Solve b = -i*b + p for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 p when two letters picked without replacement from vvppvpppvpvv?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 51, 97, 143?\n\"Answer: 46*z + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 1 + (12 - 5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/((-14)\/(-3)))\/(195\/139230*510).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -6*w - 16. Give a(-5).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -140, -152, -186, -254, -368, -540, -782?\nAnswer: -1106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -4\/41 (b) 22558 (c) 3\/8 (d) 3 (e) 2\/5 (f) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**2 - 10*z + 14. Suppose 2*x = -5*a + 51, -2*a = -a - 3*x. Let v be b(a). Sort -5, 3, v, 0 in descending order.\nAnswer: v, 3, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 100419 to the nearest integer?\nAnswer: 317","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*((g**0\/g)\/g)\/g)**(10\/9))**(-45\/7) assuming g is positive.\nAnswer: g**(100\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 122*k + 12 = 119*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -744, -1312, -1890, -2478, -3076, -3684, -4302?\n\"Answer: -5*k**2 - 553*k - 186","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(32) + 1)*5 - (sqrt(3200) + -2*sqrt(3200) + sqrt(3200))**2 - (5*sqrt(288)*1)\/sqrt(9)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -766.145189*-0.3.\nAnswer: 229.8435567","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**3 - 8*o**2 + 8*o - 5. Let i(t) = 2*t**2 + 2. Let z be i(0). Suppose z*v - 5*l = v + 32, 0 = 3*v - 5*l - 46. What is b(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -118 + (66 - (-17 + 85 + -43))?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 6*k**3 - k**2 - k + 1. Let w be t(1). Suppose -2*n = 3*n - 10. Solve -n*o - 3*r - 2 = -9, -5*o + 5 = w*r for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5780 and -0.032802?\nAnswer: -189.59556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -298 - 1475 - 52*j + 256.\nAnswer: -52*j - 1517","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -3*o + 54. What is the units digit of (4\/(-12))\/(3\/o)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1643\/4 + -410. Put i, 0.4, 2\/9, -2 in ascending order.\nAnswer: -2, 2\/9, 0.4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**0*s*s*s**0*s)\/(s*s*s**(2\/19)\/s*s**(1\/15)) assuming s is positive.\nAnswer: s**(521\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 334*j**3*r*s - 401983*j**3*r + 6*j**3*s + 2*r*s - 2*s with respect to s.\nAnswer: 334*j**3*r + 6*j**3 + 2*r - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5631004?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8938725 is divided by 31.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times 34.745383\nAnswer: 3.4745383","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2123 is divided by 1045.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 136 = 2*n + 38. What are the prime factors of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (8*l + 34*l**2 + 5*l - 14*l + (3*l - 3*l + l**2)*(3 - 1 + 1))*(-1 + l + 5 - 2) in the form q + j*l + c*l**2 + t*l**3 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x + 2*x - 6*x)*(5*x + 0*x - 3*x + (4 + 2 - 4)*(x + x - x) - 5*x + x + 3*x + 0*x - 4*x - x) - 8 + 8 + 3*x**2.\nAnswer: 7*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 3*m**2 + 5*m + 2. Let p be k(-4). Suppose 0 = 5*r + y - 2*y - 78, -r = -5*y - p. Is r a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 302140 is divided by 693?\nAnswer: 685","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 71? (a) 2\/9 (b) 19 (c) 3 (d) -0.2 (e) 108\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -118*c**2 - c wrt c?\nAnswer: -236","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -4*d**2 + 9724*d + 58494. What is x(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 25016 and 3776.\nAnswer: 472","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20780 - 20780 - 95*d)*(54*d**2 + 38*d**2 - 27*d**2)*(2 - 2 + 2).\nAnswer: -12350*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1690 and 117123760.\nAnswer: 1690","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-58)\/29*(4 - (-9)\/(-6)). Suppose 2*g - 8 - 4 = 0. Sort -1, y, g in decreasing order.\nAnswer: g, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 103 * -2.57.\nAnswer: -264.71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -16*v - 26 + 26 + (4*v - 7*v + 2*v)*(-1 + 4 - 4).\nAnswer: -15*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - 16 = -77*o + 72*o, -10 = u - 6*o for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x + 7*x - 36. Let r be x\/8 + (-5)\/(-2). Suppose 6*u - 46 = r*u. Does 9 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 12*w**2 + 1360*w + 22685. What is t(-93)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 0, 647, 6, -2, 1, -4 in descending order.\nAnswer: 647, 6, 1, 0, -2, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -10177*o**4 - 5149*o**4 + 28413 - 36530 wrt o?\nAnswer: -61304*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-58)\/(-174))\/(6\/2).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1920034 and -5?\nAnswer: -0.960017","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*g**2 + 12*g**2 - 7*g**2)*(-1 + 2 + 0)*((1 - 1 + g)*(4 + 0 - 2) + 4 - 4 + g + 809 + 18*g - 809) as y*g + t*g**3 + x*g**2 + a and give t.\nAnswer: 231","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -1103190 to the nearest ten thousand.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 218832 (base 9) to base 6\nAnswer: 2451132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -60 + 2925 + -2876.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 4*l - l = 24, 0 = -l - 4. Let h(z) = z**3 - z**2. Let g(u) = -u**3 + 2*u**2 + u + 2. Give c*g(w) - 2*h(w).\nAnswer: -w**3 - w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-35 + 21 - -3) + 6 + 41 + 2?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 211913514 to the nearest integer?\nAnswer: 596","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -5*q + 72. Let c be 20\/(-5) - (-68)\/q. Let f(m) = m**3 - 3*m**2 + 4*m - 3. Let z be f(2). Which is smaller: z or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**2 + 6*b - 24. Let u be n(-9). Suppose -3*v - 15 + 3 = 0, -i = 2*v + 3. Suppose 5*g - i - 20 = 0. Solve -3*f + 2*s = -15, u*s = 2*f - g - 10 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.028449942 to three dps.\nAnswer: -0.028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 43913 = y, 38683 + 71137 = 5*v + 5*y. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (8 - 2585\/240)\/((-2)\/1950). Let z be (-901)\/(-2)*(-6 + 0). Let l = c + z. Calculate the common denominator of l and 53\/11.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -5219, -15328, -30327, -50216?\n\"Answer: -2445*s**2 - 2774*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.0573 in 1\/2, 17, -1?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 463\/7 + (-4)\/28 is divided by 19.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 - 155b6?\nAnswer: -155b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1524400\/61327 + 2\/8761. Is l greater than 24?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50785321 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (6 + 0)*(-21)\/(-6). Let f be 4\/8 - (-14)\/(-28). Let x be -1 + f + 21 - (29 + -31). Which is bigger: x or g?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a when three letters picked without replacement from {a: 3, q: 4}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1089057, -4 in descending order.\nAnswer: 1089057, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + (21 - (17 - -5) - 21)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 3 (b) -2 (c) 3043 (d) -4 (e) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 7*i**3 - 8*i**2 + 22*i - 7. List the prime factors of l(6).\nAnswer: 19, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = 2*r + 2*b - 762, b = -4*r + 1515. Is r a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6638.03ml in litres?\nAnswer: 6.63803","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -27 - -26.92. What is r rounded to one dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(126)\/sqrt(3))\/sqrt(6) - sqrt(7) - sqrt(49)\/(sqrt(7) + sqrt(448)).\nAnswer: -sqrt(7)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 5*p = 20, 5*t + 51 = 4*p + 76. Suppose 2334 = 5*s - 3*w - 3195, 0 = t*s + 2*w - 5514. Is s a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a + 8*a - 4*b + 480, 0 = 5*a + 4*b + 600. Calculate the least common multiple of 1\/((-3)\/a - 0) and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f**3\/5 + 108*f**2\/5 + 1472*f\/5 = 0. What is f?\nAnswer: -92, -16, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 9168.5 + 0.13315912?\nAnswer: 9168.63315912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 112584.\nAnswer: 2, 3, 4691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 32514, 32510, 32506?\n\"Answer: -4*d + 32518","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9 or 5\/19?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the second derivative of 4*c**3\/3 + 131*c**2\/2 - 86*c. Let f be i(-16). Solve 6 = -w + f*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -37?\nAnswer: 1\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:07 PM and 10:45 PM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 106 + 17. Suppose -5*g + 2*y + d = 0, -2*g - y - 4*y = -26. Solve 0 = -i - 4, -2*c - 5*i + 3 - g = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 4 = 3*a. Let s = -6 + 9. What is the second derivative of 6*k**3 - 6*k**s + a*k + k**4 wrt k?\nAnswer: 12*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35549051 to the power of 1\/5, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 888118?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6.22 - -107.22. Let t = n + -100.999999747. What is t rounded to seven dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6902.\nAnswer: 2, 7, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + (1 - (1 + 1))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(-4))\/(w*w\/(w*w**0*w)))\/(w**(-4)\/(w\/w**0)) assuming w is positive.\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/2 and -85\/478.\nAnswer: 478","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 182047465 to the nearest integer?\nAnswer: 13492","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**3 - 6*b**2 + 9*b + 17. Let i be t(-7). Solve -4*o + 5*o + i = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10270 + -10159. Calculate the highest common divisor of n and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 7, 0, -25750, -1\/4, 5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s = -57*o - 383, -4 = 2*s + 4*o + 16 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 27*h**5 + 53*h**5 + 32*h**4 - 32*h**4 + 40*h**5 + (-4*h**5 + 3*h**5 + 0*h**5)*(-3 + 4 + 2) + 5*h**5 - 8*h**2 + 8*h**2.\nAnswer: 122*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 12 = 0, 51 = -3*p + 2*k - 61. Let t be p\/((-1)\/2*2). Suppose t = 4*s - 4*w, 2*w = 5*s + 3*w - 38. Is s a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f - 4*f**2 - f)*(0 + 1 - 2) + (-3*f + 0*f + f)*(-8 + 8 + 5*f).\nAnswer: -6*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the third derivative of -m**5\/140 - 4*m**4\/7 + 34*m**3\/7 - 5*m**2 - m. Find u such that q(u) = 0.\nAnswer: -34, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 879429?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 56\/(-14)*(16650\/(-24))\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1295 divided by -924?\nAnswer: -185\/132","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2045 (base 12) in base 10?\nAnswer: -3509","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18150 is divided by 168?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3466520?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9617 and 649.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 335*y**4*z**3 + 272*y**4 + 9*y**2*z**3 + 2*y**2*z**2 - 2*y*z**3 + 2803*y wrt y.\nAnswer: 8040*y*z**3 + 6528*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 669*o + 4019. What is g(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -20\/141 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -46 + 160. Suppose 0 = 5*x - 8*x - w. Let u = x + 116. List the prime factors of u.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2347304 divided by -4.\nAnswer: 586826","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 451945903*i**2 - 208778402*i?\nAnswer: 903891806","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7505 + 12098. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1315, 1334, 1355, 1378, 1403, 1430?\n\"Answer: b**2 + 16*b + 1298","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ghh when three letters picked without replacement from {h: 2, g: 5}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is (2 - 283251\/(-6))*11\/((-66)\/(-12)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5735.2 to the nearest one hundred.\nAnswer: 5700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*r - 8145135 + 8145135.\nAnswer: -7*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/15*4*9\/(-72).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -p**3\/11 + 13*p**2\/11 - 144\/11 = 0.\nAnswer: -3, 4, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-117)\/52)\/((-5)\/(-240)*12)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -34126 divided by 151?\nAnswer: -226","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 21132118 and 378?\nAnswer: 570567186","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 5*u - 1127 = 1203, -5*c + 3908 = -4*u. Which is bigger: 778 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 5*t**2 - 1665*t + 50830 = 0?\nAnswer: 34, 299","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1.8 or 9?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 165951731 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -447223 (base 10) to base 11\nAnswer: -286007","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the third derivative of -d**6\/10 + 3*d**3\/2 - 20*d**2 + 4. What is the first derivative of b(x) wrt x?\nAnswer: -36*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 54917252 and 1417?\nAnswer: 1417","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.4 - 1.59. Let t = 0.69 + n. Which is the closest to 2\/5? (a) t (b) 0 (c) -0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o = 32*q + 675, 3*q + o + 10 = -50 for q.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is (-8009)\/((-4)\/(20\/5)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = 2*v - 4, 64*y = 60*y + 3*v + 28. Suppose -5*u = -5*d + 30, 3*d - 2*u - 9 - 14 = 0. What is the remainder when d is divided by y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 108634 is divided by 182?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*c + 525 = -10*c. Let x = c + -137. Is 16 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a micrometer in nanometers?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**2 + 2*r + 1. Let a be z(4). What are the prime factors of -2 + 2 + (a - 1)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -12*j**2 + 7*j + 20. Let w(z) = 11*z**2 - 9*z - 19. Let i(u) = 2*w(u) + 3*y(u). What is the second derivative of i(l) wrt l?\nAnswer: -28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**5\/o)**(-2) assuming o is positive.\nAnswer: o**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2)\/2)\/((-3)\/(-15)). Let y be t\/(5\/(-2))*1. Suppose -i + 14 = -k, -y*k + 50 = 5*i - 3*k. Does 8 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 65193286 to the power of 1\/3, to the nearest integer?\nAnswer: 402","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 2*s**3 + 0*s**4 - s**4 + 56*s**2 - 59*s**2 to d + i*s**3 + k*s + c*s**2 + l*s**4 and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -170\/47 + 5261\/376. Calculate the common denominator of 61\/2 and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -22 - -19. Let n = -0.01 + 0.08. Let i = n + -0.57. Put g, -0.1, i in descending order.\nAnswer: -0.1, i, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 80 and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rhrlrhhlrrhllr. What is prob of picking 1 h and 1 r?\nAnswer: 24\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 25*2\/(-4)*2. Let u = 60 + a. Let m = 37 - u. Solve f + 3*f - g = -4, 2*f + m = 2*g for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.069111 rounded to 2 decimal places?\nAnswer: -1.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (-2)\/10 + 231\/(-70).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -565*n = -560*n - 3*r + 69, 2*r - 45 = 3*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 4, 83 in ascending order.\nAnswer: -0.2, 4, 83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 3*t**2 - 4*t + 114. Is h(19) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -5, -1\/123, 3\/4, -1.4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 13084 = -5*i, 2*q - i - 4998 = 1544. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 70*u**2 + 27*u + 5 - 35 - 67*u**2 = 0.\nAnswer: -10, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(2\/5)*w*w*(w**(1\/10)\/w)\/w*w*w\/(w**(-2)\/w)*w*w**(2\/5))\/((w\/w**0)**(-8\/5)\/(w**(-3\/4)\/(w\/w**4*w))) assuming w is positive.\nAnswer: w**(43\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 290 - -129. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/(-6) - 5\/(-25)*-17?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6*t**4 - 27*t**3 + 6 + 27*t**3 wrt t?\nAnswer: 24*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) -4 (c) 4 (d) 0.44\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11269 to the power of 1\/3, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 6904 and 0.25.\nAnswer: 1726","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 34*r**3 - 14*r**2 + 46*r - 32. Determine k(3).\nAnswer: 898","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 25 - 5. Let n(g) = g**2 - g + a + 0*g - 1 + 0*g. What is the tens digit of n(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 260177*c**3*v**3*x - 9*c**3*v*x - 7405*c**3*x - 2*c**2*v**2 wrt v?\nAnswer: 1561062*c**3*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 67416 - 26626. What is the ten thousands digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 59388650268 - 19431.\nAnswer: 59388630837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(252))*5 - ((1*sqrt(693) + sqrt(693))\/sqrt(11))\/sqrt(9))**2 + -1 + 3.\nAnswer: -280*sqrt(7) + 5515","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 13, m: 3}. Give prob of sequence mem.\nAnswer: 13\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 41 + 31 = 0. Let w = -12 - l. Suppose w = -3*y + 30. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**2 - 10*z - 4. Let x be s(10). Let h be 683\/x + 1\/(-4). Let i = -2905\/17 - h. Which is the third biggest value? (a) -3\/5 (b) i (c) 1\/4 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let t = 1882.5 - 1882. Let o = -1229\/115 - -53\/5. What is the closest to -2 in t, -2, o?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h**5 - 21*h**4 + 252*h**3 + 1284*h**2 - 3360*h = 0. What is h?\nAnswer: -10, -7, 0, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 4*s**2 - 13*s - 111. Determine t(7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**4\/5 + 32*o**3\/5.\nAnswer: -2*o**3*(o - 16)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -30401 - -88120. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, v: 1, k: 4, f: 3, l: 4, j: 3}. What is prob of picking 2 j and 1 v?\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 - 1)\/(-3 - -6). Suppose 4*t - 16 = -o. Suppose -3*f - 3 = t*h, 4*h - 7 = 5*f + 30. Put 0, 3, f in increasing order.\nAnswer: f, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 1 = -0. Let r = 10 - 28. Let f be (-2)\/6 + 3\/r. Which is the nearest to q? (a) -2 (b) 0.5 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 140 < 159?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 3*k + 17. Suppose -3*m = 179 - 185. Calculate the remainder when 88 is divided by v(m).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2052235 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from svksnpvvvsvkkv. What is prob of picking 1 p and 1 s?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/99? (a) 0 (b) 2\/7 (c) -4 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16 - 11. Suppose -g = -4*u - 5*g + 36, -2*u - c*g = -33. Solve 1 = u*i + 9 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -62*r - 112*r - 9753 - 4952 + 611 for r.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmrmr. What is prob of sequence mr?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -3*o**3 + 14*o**2 - 17*o + 4. Give j(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w*w**20))\/w*w**(10\/3)*w*(w\/((w\/(w**(-1\/14)*w))\/w))**(-15) assuming w is positive.\nAnswer: w**(-1915\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1915 is divided by 32.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-8)*(-456)\/(-171)*-1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000069 to two decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -28634.4, -15 in ascending order.\nAnswer: -28634.4, -15, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 862 + 138 = 200*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 divided by -41.\nAnswer: -12\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes before 4:34 AM?\nAnswer: 2:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vtv when three letters picked without replacement from {t: 3, v: 4}.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:47 AM and 9:36 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -29843565 + -64768.\nAnswer: -29908333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 21\/4 of a microgram?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**2 - 8*l + 6. Let k(j) = -j**3 + 6*j**2 + 10*j - 9. Let b be k(7). Let s be u(b). What is the units digit of (s\/4)\/((-8)\/(-16))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1001100100 (base 2) to base 8.\nAnswer: 1144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 363723358865\/1932 - 188262614. Let x = u - 4\/161. Find the common denominator of x and 10\/((-600)\/(-970)) - 1\/(-3).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*b**2 - 25 + 46 - 21.\nAnswer: -34*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-35)\/(-700)*-45)\/((-2)\/4))\/2.\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 70\/72 - 12\/16. What is the nearest to t in -2\/9, -3, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the third derivative of r**7\/210 - r**3\/6 - 23*r**2. Let n(h) = -3*h**4 + 5. Let k(a) = -26*b(a) - 6*n(a). Find the first derivative of k(x) wrt x.\nAnswer: -32*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**4 - 48351*m**3 - 145047*m**2 - 145045*m - 48348.\nAnswer: -(m + 1)**3*(m + 48348)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11880?\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -0.5, 22, 0.8 in increasing order.\nAnswer: -3, -0.5, 0.8, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(200) + 2*sqrt(200)*1)**2 - ((sqrt(200) - sqrt(200)*-3)**2 + -2 + sqrt(200))) + 0 + ((sqrt(200) - (sqrt(200) + 0) - sqrt(200)) + -5)**2 + 5.\nAnswer: -1168 + 90*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -211*q - 451. Calculate l(-2).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the second derivative of 2*i**7\/7 + 13*i**4\/12 - 33*i. Find the third derivative of o(y) wrt y.\nAnswer: 720*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3242665 and 66.3.\nAnswer: 3242731.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*d + 2 + 66*d**2 - 2.\nAnswer: 66*d**2 + 4*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -64*h**5 + 448*h**3 - 183899*h.\nAnswer: -1280*h**3 + 2688*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/(-12) + 23\/(-4). Let s(g) = g + 5. Let w be s(j). Let z(i) = 2*i - i + 16*i**2 - 12*i**2. What is z(w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1777, 3555, 5333, 7111, 8889?\n\"Answer: 1778*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 220 + 23012131100?\nAnswer: 23012131320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = u, 5*j - 2*u - 23 = 6. Suppose -4*m + 8 = 4*q, m - j - 3 = 5*q. Suppose m*v + 20 = -2*v. What is the second smallest value in v, 0.1, -0.12?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1.072 and 0.41755.\nAnswer: 1.48955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18241\/48 - 380. What is the common denominator of (-1)\/2*(-5)\/45 and y?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -4*q. Suppose -2*s - 2*s - 5*n + 25 = q, -3*s + 27 = n. Let t = 6 - s. Sort 0.1, t, 0.5 in decreasing order.\nAnswer: 0.5, 0.1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -306 = -9*h + 9. Calculate the highest common factor of h and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/28*8*44394\/604.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -96 - -114. Calculate the remainder when z is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**4 + 4*a**3 + 2*a**2 - 4*a - 3.\nAnswer: (a - 1)*(a + 1)**2*(a + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2 + (-8)\/(-1))*(-2)\/18. Let f be (2\/1 - 2)\/(-1). Which is the third smallest value? (a) -13 (b) f (c) 4 (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.5, -0.06, 0.13?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 - 4)\/(2 + -3). Let i(v) = 2*v + m - 4 - 1. Let l be i(5). Which is smaller: l or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4813.327 rounded to the nearest 10?\nAnswer: -4810","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zsss when four letters picked without replacement from szsskssss.\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 divided by -16339437.\nAnswer: -14\/16339437","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Total of 509016 and 37.\nAnswer: 509053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 14*h**3 - 5*h - 5. Let q be y(-5). Let f be q\/(-8) + (-2)\/8. Suppose -f = -0*r - 4*r. Calculate the remainder when r is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**2\/2 + 5738*u.\nAnswer: -u*(u - 11476)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (1232205\/(-3510) - -286) + (-2)\/(-36)?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -101 and -6?\nAnswer: 606","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.1 or 352644?\nAnswer: 352644","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(1\/7)*b**0*b)**(-18) assuming b is positive.\nAnswer: b**(-144\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -210*d**2 - 28*d + 15. Let j(m) = 841*m**2 + 119*m - 59. Determine -17*i(p) - 4*j(p).\nAnswer: 206*p**2 - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -10424494.2 to the nearest 10000.\nAnswer: -10420000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 56 - 56.3. What is the nearest to 19 in -3\/2, -5\/2, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2173 and 300161?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -35\/33073548 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 2*d**5 - 25812*d**4 + 4128720*d**3 + 4283620*d**2 - 20850162*d + 12463632 = 0?\nAnswer: -3, 1, 163, 12744","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -7579621 bigger than -7579607?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 - -5651352603?\nAnswer: 5651352603.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 7078, 13804, 20188, 26248, 32002, 37468, 42664, 47608?\n\"Answer: 3*f**3 - 189*f**2 + 7272*f - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 27120 and 94344.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -k + 15. Suppose -k*m + 7 + 48 = 0. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 8*w + 550324 = 11*w. What is the thousands digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 + (-19)\/(-21))*-3. Let g = 0.1 + 0.4. Let j = 0.41 + -0.31. What is the closest to j in g, p, 5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (8\/10)\/(2\/(-35)). Let p = 2.1 - 2. Which is bigger: c or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 2*n. Let r be g(0). Which is smaller: r or -2\/33?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 27 - 2 + 0*o - 27*o wrt o?\nAnswer: -27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**2 - 43*s + 125. Let n be r(43). What is the greatest common factor of 25 and n?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in a**3 + 41*a**3 - 20*a**3.\nAnswer: 22*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 3*v**2 + 311548*v - 207700 = 0.\nAnswer: -103850, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51 = -36*u - 184 - 17 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 399917 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8? (a) -2 (b) 3 (c) 161375\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 40*u + 1. Let o be h(3). Let k(f) = 121 - o + f. Let d(l) = -l**2 + l. Let j(z) = d(z) - 5*k(z). What is the second derivative of j(t) wrt t?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z - 42 = -50 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (99\/(-54) + (-1)\/6)*516. Let a = s + 1576. What are the prime factors of a?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*x = 4*a - 48, -5*a - 1879*x + 1883*x = -36 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 292762.\nAnswer: 2, 146381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -3013310 (base 11) to base 15\nAnswer: -705546","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 6*z**2 + 7*z - 50. Determine v(5).\nAnswer: 135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8666467*t**2 + 11830370*t wrt t?\nAnswer: 17332934","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/95)\/(1\/(-5)). Let v = -12 - -38\/3. What is the second smallest value in -2, v, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + 36 + 192. What is the tens digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 + 2. Let q = 4 + y. Solve 2*v + 20 = 4*o, -4*v + 0 + q = 2*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 88*j**3 + 270. Suppose 0*f = 6*f + 72. Let d(o) = -o**3. Let l(b) = f*d(b) - p(b). What is the derivative of l(k) wrt k?\nAnswer: -228*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-288)\/27)\/(-16)*(2 + 75437\/2).\nAnswer: 25147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10510230 and 1330?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1004216927?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + 20 = 2*i - 0*i, 5*i + 3*o + 31419 = 31365 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 2*g + 6, 9*g = 8*g + 4*t + 22. Suppose 3*o + 12 = 0, -5*o = g*y + 1841 - 14191. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 246\/324 - (-1)\/(-1) and 1\/(-6)*148\/(-10)?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6071 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(448) + (sqrt(700) + sqrt(28))**2.\nAnswer: 8*sqrt(7) + 1007","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 710 and 71.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 9*g + 6. Let x(d) = -d - 9. Suppose 2*n - 6 = -4*r, 1 + 10 = -3*n - r. Let z be x(n). Let y be a(z). Round y to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4, 0, -4, -8, -12, -16?\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 202676.8 days?\nAnswer: 17511275520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m - 3. Let c be u(2). Let g = 0 + -0.03. Let y = -2.03 - g. What is the third smallest value in -0.1, c, y?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -124277504*s*w**3 + 261*s*w**2 + 3186*s*w + 2*w**2 - 4*w - 1 wrt w?\nAnswer: -745665024*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2 + -6 + 6)*2. Solve -4*u + 4 = 3*m + 11, -4*m = -q*u - 28 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3577.89 to the nearest ten.\nAnswer: -3580","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -16*q**2 + 3*q + 3. Let l(z) = -17*z**2 + 2*z + 2. Calculate -2*d(b) + 3*l(b).\nAnswer: -19*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1631 is divided by 518\/5 - 496\/310.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 - 2. Suppose c = -i + 2*i - 5. Let a = -19 - -24. Solve 2*s - a*z = s - 21, -2*s - i*z + 33 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -302 + 341. Calculate the highest common factor of 6 and f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 73, -2 in increasing order.\nAnswer: -2, 5, 73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -7*z**5\/9 + 74*z**4 - 2654*z**3\/9 + 1336*z**2\/9 + 887*z\/3 - 2002\/9 = 0.\nAnswer: -1, 1, 22\/7, 91","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -14100 + 40220411?\nAnswer: 40201311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/(-18) + (-53)\/(-3). Let q be (-12)\/(-8)*2\/h. What is the biggest value in 0.1, q, -4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1173.81 from 0.053.\nAnswer: 1173.863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 205.1 - 196. Let u = l - 10.1. What is the fourth smallest value in -0.5, -4, u, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -7*t + 12. Let k(o) = -2*o - 6. Let q be k(-4). Let w be p(q). Which is the nearest to w? (a) 5 (b) -5 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -61.1 - -454.1. Let s = b - 392.9999388. What is s rounded to 6 decimal places?\nAnswer: 0.000061","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 79071 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 59494720 to the power of 1\/3, to the nearest integer?\nAnswer: 390","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -129*u = -127*u + 2*d - 9662, -2*d - 4825 = -u. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes before 10:58 PM?\nAnswer: 6:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -2*u**2 - 4*u**2 + 2*u**2. Let h(z) = 26*z**2 + 16*z + 16. Let y(k) = -5*k**2 - 3*k - 3. Let t(n) = -3*h(n) - 16*y(n). Determine v(t(o)).\nAnswer: -16*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(4) + (sqrt(12) + sqrt(192))\/sqrt(3))\/(sqrt(128)*-2 - sqrt(2)))**2.\nAnswer: 72\/289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_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: Find the third derivative of n**3*r**2 - 4*n**3 + 13*n**2*r**2 - n**2*r + 3*n*r**2 wrt n.\nAnswer: 6*r**2 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -269 divided by 7661?\nAnswer: -269\/7661","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1265189076?\nAnswer: 2, 3, 53, 663097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2896.4789 and -0.07.\nAnswer: 202.753523","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/272*1)\/(2158\/(-8632)).\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -6*l**4\/5 + 110*l**3 - 9354*l**2\/5 + 38082*l\/5 + 68728\/5 = 0.\nAnswer: -4\/3, 11, 71","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*a**5 - 1074*a**4 + 33084*a**3 - 227070*a**2 - 261225*a = 0. What is a?\nAnswer: -387, -1, 0, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 25*v**2 + 3*v + 3. Let w be f(-2). Let p = 26 - w. Let d = p - -258. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3b (base 14) in base 13?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 2 u when three letters picked without replacement from {u: 4, a: 4, z: 7}.\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -35108816\/21493 + 1\/42986. Let j = -1596 - h. What is the common denominator of j and (54\/(-10))\/((-2320)\/(-725))?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 - -6. Let x(b) = -l + b**3 - 2*b**2 - 4 + 3 - 3*b**2 - 4*b. What is the units digit of x(6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes before 10:20 AM?\nAnswer: 3:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.3, -0.07, 0.06, 0.7, 1\/13?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 16821761119 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a = 4*a + 3, 3*a - 6 = -3*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*v + 25 + 2*v + v in the form w*v + i and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-43)\/(-9) + 462\/2079. Solve -4*u + 5*u = w - n, -3*u = 9 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 - 6.7. Let k = 2 + -1.9. Let h = -0.5 + k. Which is the second biggest value? (a) h (b) 0 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3931*p**4 - 513 with respect to p.\nAnswer: -15724*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-1*(sqrt(275))**2 + sqrt(88)\/(sqrt(56)\/sqrt(7)) + 5*((2*(1 + sqrt(11)) + sqrt(11))**2 + 0))*4.\nAnswer: -960 - 244*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*n**2 - n**4 - n**2 - n - n + 51*n**3 - 54*n**3 to i + u*n**3 + x*n**4 + m*n**2 + o*n and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/2? (a) -9 (b) 0.3 (c) 0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 424\/(-64) + 6 + 3\/(-8). Is r < -3\/520?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.9341 - -0.0659. Which is the closest to -1\/4? (a) 3\/8 (b) f (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*u + 50 + 0 = -7*u. Put -44, u, 1, -6, -1 in descending order.\nAnswer: 1, -1, u, -6, -44","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 285 is divided by 58?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -14 times 37603\nAnswer: -526442","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-4)\/10 - 1764\/(-35).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3 - -194*2\/132. Let o = 13\/33 + r. Let q(s) = 2*s - 1. Let g be q(1). Which is greater: o or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the third derivative of b**5\/10 - 2*b**3\/3 + 2*b**2. What is the first derivative of g(p) wrt p?\nAnswer: 12*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:05 PM and 3:59 AM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0*3\/(-9) + -2. Let f be 4\/u + (5 - 3). Suppose 2*h + 2*o - 6 = f, 4*h + o - 6 = -o. Solve -2*j + 2 = -5*g, -2*j + 0*g - 5*g + 2 = h for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000096144315 to seven decimal places.\nAnswer: 0.0000096","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -36 - 5. Let r = l - -41. Suppose -9342 = -3*n - 6*d + 3*d, r = -4*n - d + 12441. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1180922, 1180780, 1180388, 1179620, 1178350, 1176452, 1173800, 1170268?\nAnswer: 1165730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -150, -378, -790, -1488, -2574, -4150, -6318?\nAnswer: -9180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 139 divide 978143?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, d: 8, y: 1, l: 7}. What is prob of picking 2 l and 1 s?\nAnswer: 21\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssfg when four letters picked without replacement from psfqgsf?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 161220.\nAnswer: 2, 3, 5, 2687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 21 = -5*g, 2 - 1 = 2*o - g. Let i = 14 - 16. Let j = 1 - i. Solve 0 = -o*d + j*d + 1 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 700 - -779. Suppose 4*i - j - 741 = 0. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 451 is divided by 38.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*n - 630 = -29*n + 11*n. Let q(l) = -2*l**2 + 30*l - 23. Determine q(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -125*x**2 + 2259*x - 159. Give q(18).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2269? (a) 11 (b) 24\/17 (c) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14725980.\nAnswer: 2, 3, 5, 23, 3557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.97 + -2846.\nAnswer: -2845.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -7*h**2 - 9*h + 9. Let j(g) = -3*g**2 - 4*g + 4. Let r(d) = -9*j(d) + 4*z(d). Let m(p) be the second derivative of p**4\/4 + p. What is m(r(u))?\nAnswer: 3*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, 2\/9, -0.2, -3.3, 2\/7?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 152\/40 + (-2)\/(-10).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -3*sqrt(363) - -1*sqrt(363)*4)**2.\nAnswer: 88*sqrt(3) + 379","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yqq when three letters picked without replacement from qqy.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**2 - 3*r + 15. Let x be u(6). Let d = 2 - -9. Calculate the greatest common divisor of d and x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q\/q**(-11)*q**(-12\/11) assuming q is positive.\nAnswer: q**(120\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a = -5*n - 10, 3*a - 4*n = -24 + 21 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4*j**4 + j**3 - 79*j - 5666?\nAnswer: -16*j**3 + 3*j**2 - 79","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 12*g + g**2 - 11*g - 11*g as l*g + n + u*g**2 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 418, 419, 420?\n\"Answer: p + 417","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.15 + 4.85. Let d = 1.1 + m. Round d to 0 dps.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**3 - 3*j**2 - 13. Let x be a(4). Suppose 0 = -x*n + 2*n + 1. Calculate the remainder when 4 is divided by n.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 916*g**2 - 305*g**2 - 299*g**2 - 308*g**2.\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -45*j**2 - 2154*j + 701. Let r(g) = g - 4. Let q(z) = -b(z) + 6*r(z). Factor q(w).\nAnswer: 5*(3*w - 1)*(3*w + 145)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 7164?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c + 3*u - 4 + 1, -2*u = -2*c + 8. List the prime factors of 3 + -6 + c - -10.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**3 - 27*g**2 + 35*g + 1646. Determine h(22).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 77478 or 1906?\nAnswer: 1906","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -270*j**2 - 25*j - 833. Let r(p) = 3*p**2 + 5*p - 1. Let i(k) = -5*r(k) - w(k). Differentiate i(d) with respect to d.\nAnswer: 510*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -6944*f - 2354024. What is r(-339)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 17856 and 3168.\nAnswer: 196416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 170, 344, 516, 686, 854?\n\"Answer: -s**2 + 177*s - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 2*(sqrt(110)\/(sqrt(10) - (sqrt(40)*-3 + sqrt(40))))**2 + -4.\nAnswer: -78\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 2*v - 51254, 42*v = 4*i + 37*v - 102454. List the prime factors of i.\nAnswer: 25621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -125.9 to the nearest 10.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1813?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 12 = -4*g, 15 = 2*m - g + 3. Suppose m*d + 2 + 2 = 0, -r = -5*d + 359. What is r rounded to the nearest ten?\nAnswer: -360","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the second derivative of -a**5\/20 - a**4\/4 + 7*a**3\/6 + 3*a**2 + 6*a. Let t = 7 - 11. What is m(t)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -55b + 12f0?\nAnswer: d95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**2 + 142*z - 894. Let a be t(15). Which is smaller: a or 1463?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 13*a - 3. Let f = -13 + 19. Suppose -18 = -f*u + 36. What is the remainder when l(5) is divided by u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z - 72 = 5*z. Is z a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 98\/162812325 and -3\/15195817?\nAnswer: 1139686275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 678?\nAnswer: 2, 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 47881 or 80?\nAnswer: 80","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 47 + -48 + 5 + -1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.1 (b) 1905 (c) 1\/3 (d) -2\/13 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + 2*f = 29, -155 = -4*x - f - 145 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the second derivative of -r**4\/12 - 7*r**3\/6 - 7*r**2\/2 - 3*r + 2. Suppose 3*m = 7*m + 24. What is i(m)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - -3. Let g be (-18 + 20)\/((-28)\/6). Put -5, r, 0, g in decreasing order.\nAnswer: r, 0, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and 192?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -309 (base 14) to base 5\nAnswer: -4342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 7608 = -4*r, 89*j - 2*r + 15226 = 91*j. Does 173 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*d - 32 = -32. Let p = 6 + -6.2. What is the third smallest value in p, d, -1\/12?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uggmm. What is prob of sequence gmu?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbcl when four letters picked without replacement from {b: 2, l: 1, u: 3, c: 9, q: 2}?\nAnswer: 3\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15*(-14)\/(-1470))\/(3\/84).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, k: 2, u: 1, x: 13}. Give prob of picking 1 x, 2 k, and 1 u.\nAnswer: 13\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the first derivative of b**2\/2 + b + 1. Let j = -8 + 10. What is the units digit of l(j)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 746*r - 7449. Calculate z(10).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*r = 5*d - 22*r - 279, d - 55 = -r. Find a such that -d*a**2 + 20*a**2 + 27*a + 57*a + 38*a**2 = 0.\nAnswer: -42, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -35*g**2 - 269*g - 122. Let m(z) = -7*z**2 - 54*z - 22. Let o(f) = -2*c(f) + 11*m(f). Determine o(-8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -141*w + 45*w = 4896. Sort 0.1, w, 4.\nAnswer: w, 0.1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -6*m**2 - 503*m + 146. Give u(-84).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -s**2\/6 + 41*s\/6 - 13 = 0?\nAnswer: 2, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 2493*r + 119677. Calculate a(-48).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4044339*f**6 + 92244394*f**2.\nAnswer: -485320680*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3142*k**3 - 3020*k**3 + 6163*k**3.\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g - 4. Let k be i(6). Let 3*f + f**k - f - 4*f = 0. What is f?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -320\/19 or 2\/9?\nAnswer: -320\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88 = 9*z - 43. Let b(g) = -567984*g + 80. Let w be b(z). What is w rounded to the nearest one hundred thousand?\nAnswer: 2800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x - 1. Let a(j) = 8 - 3 - 6. Let c(h) = 2*a(h) - 3*n(h). Let y be c(1). Solve -5*r = -y*p - 7, 3*r = -4*p - 2*r - 17 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4196.9 greater than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9252358?\nAnswer: 2, 61, 181, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) -118191 (c) 46\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*b**3 - 4*b**4 + 3*b**4 - 4*b**3 + (12*b**3 - 22*b**3 - 36*b**3)*(2*b + 2 - 2).\nAnswer: -93*b**4 + b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 181\/360 and -5\/44.\nAnswer: 3960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-31*d - 24*d - 31*d + 19*d)*(6*d - 6*d - 8*d**2).\nAnswer: 536*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1702*h - 1768*h - 22 - 44 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 56919 a multiple of 77?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -13 + 117. What are the prime factors of a?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 963591408 a multiple of 468?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*b**4 - 1221*b**3 - 1 + 2382*b**3 - 1191*b**3 - 2*b**2 - 2*b to i + u*b**4 + z*b**3 + j*b + s*b**2 and give z.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*x**3 + 5*x**3 + 2*x**3)*(-3 + 1 + 6) - x**3 - x**3 + x**3 to the form c*x**2 + q*x**3 + l + p*x and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the second derivative of 31*s**4\/12 - 2*s**2 + 6*s. Let t(k) be the first derivative of -k**2\/2 - 83. What is j(t(g))?\nAnswer: 31*g**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 175, 177, 181, 187, 195, 205, 217?\nAnswer: 231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -24888 divided by -4?\nAnswer: 6222","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n + 5. Let m be y(6). Let z(b) = 2*b**2 + b + 0*b - 3*b**2 - b**3. Let u(s) = -6*s**3 - 4*s**2 + 6*s - 1. Let d(a) = m*u(a) + 5*z(a). Factor d(r).\nAnswer: (r - 1)**2*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.04*358.\nAnswer: -14.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 366 + -366. Solve 0*x - 2*x + 6 = r for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (63\/2)\/(-3) + 87\/58. Let b = o - -13. Solve -m - m = -2*r + 2, -b*r = -5*m - 7 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 13623, 27285, 41029, 54897, 68931, 83173?\n\"Answer: 7*m**3 - m**2 + 13616*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and -34.\nAnswer: -136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2456 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventy-four fifths of a litre?\nAnswer: 14800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 0.02, -0.5, -7\/6?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1254454106 + 4?\nAnswer: 1254454113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-16)\/z*z\/z**(-1)*z*z assuming z is positive.\nAnswer: z**(-13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 3*w - 1407 = 195, 2*w - 1056 = -2*j. What are the prime factors of j?\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (33 - 0) + (8 - (10 + -6 + 4 + -2))\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 4*n - 22. Let f(g) = g - 7. Give 16*f(a) - 5*p(a).\nAnswer: -4*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 11949619?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25\/35 + 226*15\/(-5040).\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 13*a - 470. Let o(x) = -6*x + 235. Determine -4*b(d) - 9*o(d).\nAnswer: 2*d - 235","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -3*t - 17. Let x(n) = n + 3. Let d be x(0). Suppose -48 = d*s + 3*p, -2*s - p + 6 = -3*s. Let q(c) = -c - 6. Calculate s*q(l) + 4*w(l).\nAnswer: -l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 3*f = 6, 2 = 4*f - 10. Sort 7, -1, n.\nAnswer: n, -1, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w - 5. Determine p(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-110)\/4*228\/627.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1b27818 (base 13) in base 2?\nAnswer: 100010010001100101001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**3 - 13*q**2 + 11*q - 40. Let l be o(-14). Solve -3*m + 0*m = 3*f, 5*f + 12 = -l*m for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.53 + 7.334. Let s = -33 + 41. Let c = x - s. What is c rounded to two decimal places?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -147882 - -147882. Let y = 3.02 + -0.02. What is the third smallest value in -43, y, h?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -98248*l**2. Let s(o) = -14*o. Give m(s(w)).\nAnswer: -19256608*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 64 + -59. Suppose -d*c = c + 1728. Let a = -170 - c. List the prime factors of a.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 391 - 394. What is the fifth biggest value in 2, -0.1, -1, -1\/4, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 190 and 2?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -11919130 greater than -11919130?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 424191*y**3 - 395868 wrt y.\nAnswer: 1272573*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 5111148204?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = z - 24. Let m(p) = p**2 - 5*p + 6. Does 24 divide m(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 343 divide 240971?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 14) to base 5\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 56 - 57. What is the common denominator of s and -61\/16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -9*r**2 - 6*r - 6. Let i(k) = -9*k**2 - 7*k - 7. Let t(h) = -7*b(h) + 6*i(h). Let a(w) = -3*w. What is a(t(f))?\nAnswer: -27*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*a = -39*a - 255. Calculate the remainder when 389 is divided by a.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 - -4*5\/20. Let v be ((-1)\/l - (18 - 16)) + 102. Calculate the greatest common divisor of v and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f - 5*h - 35861, -h + 14156 + 9773 = 2*f. Let y = f - 20262. Round y to the nearest one thousand.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes before 9:32 AM?\nAnswer: 7:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3\/(-4) + -1)\/(9\/108). Let h be (p\/4)\/((-9)\/144). Calculate the greatest common divisor of h and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q + 6. Let k be -3 - (-2 - -1 - -2). Let z be l(k). Let v(b) = 3*b**2 - 5*b**z + 5*b**2. Let o(r) = 2*r. Give v(o(a)).\nAnswer: 12*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (((-5850)\/(-24))\/25)\/(12\/688). What is the highest common divisor of 26 and x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(-1\/3)\/d*d)**(-5))**50 assuming d is positive.\nAnswer: d**(-500\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 + -6 - 5\/(-3) - -2. Let u(q) = -3*q**2 + 21*q + 51. Let k be u(9). What is the nearest to x in 2\/15, 0.6, k?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-1 + -1)\/((-1)\/17) is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4829 is divided by 82.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -3*f. Let v(q) be the second derivative of -q**4\/12 - q**2\/2 - 486*q. Calculate v(t(c)).\nAnswer: -9*c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 54488, 110478, 166468, 222458, 278448, 334438?\n\"Answer: 55990*n - 1502","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 + 11. Suppose -2*r + 4 = -x. Let u(h) = -h**3 + 5*h**2 + 7*h - 2. What is the units digit of u(r)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 178 is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 104198302 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*d - 4*h - 23 = -4*d, -4*h - 34 = 2*d. Put -3, 280, -4, d in descending order.\nAnswer: 280, d, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3173337 and 726951.\nAnswer: 4353","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -20535*u**5 + 1335*u**4 - 2980*u - 33743 wrt u?\nAnswer: -410700*u**3 + 16020*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/4*4\/20?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2654105357 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 10000263 a multiple of 81?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 28.07 take away -2.30017578?\nAnswer: 30.37017578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1\/(-4))\/((-11)\/44). Let w(n) = -2*n + 2. Let d be w(1). Solve d = 3*h - 0*h + t - c, -3*h = -t + 7 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -769.99999647 + 770. What is m rounded to seven decimal places?\nAnswer: 0.0000035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*m**2 - 2*m**2 + 4*m**2 + 5*m**2 + 0*m**2 - 2*m**2 + (2 - 2 - 1)*(-m**2 - 2*m + 2*m).\nAnswer: 8*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**2 - 12*f + 11. Let n be s(-11). Suppose 3*d - d - n = -4*b, -5*b - 3*d = -28. Is 9 a factor of (18\/b)\/(11\/55)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 - 11. Let b = 9\/2 + w. Let v = 1 + -1. Put -0.4, v, b in increasing order.\nAnswer: -0.4, v, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + (-28 - -8) - -14 - -9?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 2*m - 37*q + 36*q, 5 = -m - 3*q. What is the second biggest value in m, -0.13, -12, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -200 at least as big as -17288\/87?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k**4\/4 - 45*k**3\/2 - 225*k**2 + 1130*k - 1200 = 0. What is k?\nAnswer: -10, 2, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 119\/36 and 23\/2837616.\nAnswer: 8512848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(((s*s\/(s\/((s**24*s)\/s)))\/s)\/s))\/s**(-8\/3))\/(s**14*s*s*s**(-31)) assuming s is positive.\nAnswer: s**(-13\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 4, b: 4, j: 2, o: 1, z: 5, k: 2}. Give prob of sequence zp.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let g be 5 - (-3 + 2 + 3). Suppose 0 = 3*u - 10 - 2, -2*h - g*u = -294. Is 46 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -458 in 2, -4, 9\/7, -2\/5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15 - 14. Suppose -2*x + 3*x = -c. Let d(n) = -7*n - 1. What is the units digit of d(x)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 2543*f - 13102. What is j(5)?\nAnswer: -387","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 7 (c) 59\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -130 + -656520?\nAnswer: -656650","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 0 + -1*sqrt(1088) + -3 + (-2 + sqrt(1088)*1 - sqrt(1088) - sqrt(1088))*-4 + -1)**2.\nAnswer: 192*sqrt(17) + 9808","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 2797704 divided by 6\nAnswer: 466284","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 311844*2\nAnswer: 623688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1622 a multiple of 311?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 3*a - 55905, 5*a - 124886 = 2*p - 31713. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -127 = -5*j - 3*z, 4*z + 33 = 2*j + 3. Suppose -5 = -2*y + 4*i - 3, 2*y - i = 8. Suppose -13 = y*w - j. Solve 0 = w*q - 4 - 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23337169 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(1\/12)\/h)**(-6) assuming h is positive.\nAnswer: h**(11\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 + 10. Let w = 64 + -59. Sort o, -2\/11, w in increasing order.\nAnswer: -2\/11, o, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in one quarter of a millennium?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h - 20. Let p be f(23). Suppose 5*x - 2*l - 385 = 0, -p*l = 2*l. What is the remainder when x is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 6 - -6541651?\nAnswer: 6541657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*s + 5*s + 20 = 0. Suppose -s*l - 19 = -107. 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 4 divided by 295?\nAnswer: 4\/295","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 16\/12 - 68\/(-12). Let s be (0 + 0 - -4)*d\/2. Suppose -4*u = 4*j - 40, 2*j + u + 3*u - 30 = 0. Put s, j, -2 in descending order.\nAnswer: s, j, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((0 + sqrt(363) + 5)**2 + (sqrt(3) - (sqrt(3) + 1)*6)*2).\nAnswer: -752 - 200*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1928890683.9999919 - -1928890545. Let p = -15.1 - -154.1. Let m = n + p. Round m to six dps.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**3\/9 + 592*c**2\/3 - 394*c + 1772\/9.\nAnswer: -2*(c - 886)*(c - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 215 - -47. Let f = -250 + u. What is the remainder when 40 is divided by f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 16419573, 65678293, 147776161, 262713177?\n\"Answer: 16419574*v**2 - 2*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1700) - (sqrt(1700) + 0 - sqrt(1700)))**2 + sqrt(1700))*1*-4 + (sqrt(272)*-4 - (sqrt(17) - (5 + sqrt(272)))).\nAnswer: -6795 - 53*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11777\/8 - -1517. Let j = 73 - 118. Let s = q + j. What is the common denominator of 145\/6 and s?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20\/(-6))\/(68915\/3938).\nAnswer: -4\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-495)\/(-12) + (-1)\/4. Let n(c) = k - 41 + 2*c**2. Let g(a) = 1. Let j(b) = 2*b + 4. Let z(t) = -4*g(t) + j(t). What is z(n(l))?\nAnswer: 4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4465257?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - z = -16, 4*o - 4*z + 7 - 3 = 0. Solve -w - 4*q + 12 = 0, -5*w + q + 0 - o = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1113\/265)\/((-6)\/(-10)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 99443846*y**4 + 163299895 wrt y?\nAnswer: 397775384*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 46*v**2 + 2*v + 1. Let c be o(-1). Let h be 5 - (9\/(c\/(-20)) - -2). Solve -h = -q - 5 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 490*v + 1. Let h(a) = 1. Let j(d) = -3*h(d) - p(d). Let y be j(-1). Is 9 a factor of ((-1)\/(-2))\/(3\/y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, k: 2, q: 10, f: 2, c: 1, h: 2}. Give prob of picking 1 k and 1 g.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6.85 - -6.850000621. What is u rounded to six decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -508 divided by -4\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 183729 (base 15) in base 4?\nAnswer: 10133020302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 413991 is divided by 10206.\nAnswer: 5751","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) -0.2 (c) -0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-n + 7*n - 2*n)*(405*n**3 + 282*n**3 - 9 - 697*n**3 + 3*n**2) to c*n**3 + g*n + m*n**4 + d + b*n**2 and give m.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -234*l + 507*l - 240*l.\nAnswer: 33*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -5*u**3 + 1253605*u**2 - 151614190*u + 298214000 = 0?\nAnswer: 2, 119, 250600","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*z = -w + 5, -4*z = 366*w - 371*w - 29 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 720828559 a multiple of 5296?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*y - 2 + 2)*(-21 - 15 + 16) + (-1 - 1 + 3)*(-2*y - 2*y + 6*y) + 7 + 214*y - 10 - 197*y to f + d*y and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -y + 2*c, 5*y - 2*y - 3*c - 39 = 0. Suppose 0 = -3*r + y*r - 7049. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0, 2, 5, 23906, -1.\nAnswer: -4, -1, 0, 2, 5, 23906","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 3590*h - 156. Let j(p) = 52. Let v(t) = 3*j(t) + n(t). Let r(l) = 4*l**2. What is v(r(g))?\nAnswer: 14360*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 75 + -46. Calculate the remainder when 57 is divided by f.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.07 + 2.93. Let w(z) = 4*z - 8. Let c be w(3). Suppose 0 = -2*u + 4*u - c. Sort g, u, 1\/3 in ascending order.\nAnswer: 1\/3, u, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k - 3*k + 0*k)*(-11 - 22 + 8)*(-k**2 - k**2 + 3*k**2).\nAnswer: 100*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 take away -384523.1?\nAnswer: 384522.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -84*q + 8. Let w be k(-1). What is the highest common divisor of w and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8569 to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -22257 - -1374591.\nAnswer: 1352334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12 + 22 + -30)\/12*9?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -8\/55 and -59\/970.\nAnswer: 10670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -23301133220 + 21?\nAnswer: -23301133133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 18*y - 13*y + 13*y - 162 for y.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*a - 2*a + 16*a.\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 29, 132, 305, 548, 861, 1244?\nAnswer: 1697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 57808?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9712655?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 24*v - 12. Let p be m(14). Let x = 634 - p. Suppose -2*s - x + 2084 = 0. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -20862 + 36053. Suppose 3497 - z = -6*t. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k. Let d be o(7). Let a = d + -5. Suppose a*s - 11 = 7. What is the remainder when 25 is divided by s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2178)\/2541)\/(3\/3*(-1)\/(14\/(-68))).\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*3.2.\nAnswer: -6.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in g - 76 + g + 49 + 412.\nAnswer: 2*g + 385","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3104 in 0.16, 31, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.6 + 1.8. Suppose -l + 4*o + 13 = 0, -2*l + 5*o + 17 = 3. What is the nearest to d in 2\/13, l, 0?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**0*s)**(-1\/4) assuming s is positive.\nAnswer: s**(-1\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 193914 and 73017.\nAnswer: 1197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -408*j - 294*j = -953*j + 4414 + 606 for j.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*d**3 - 3*d**3 - 30*d**2 + 27*d**2 + 32 - 30 + 158*d**2 to w*d**3 + n*d + t*d**2 + m and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**2 - a + 1. Let g(z) be the third derivative of -z**4\/6 + 5*z**2. Let p be g(1). What is h(p)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -339 - 23. Let z(d) = 8*d**2 + 5*d - 10. Let r be z(8). Let p = n + r. What is the greatest common factor of p and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 88*w + 79*w - 174*w.\nAnswer: -7*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 32 = -2*p + 4, 17 = -p + 5*k. What are the prime factors of 4\/p*-12 - -234?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -246392*r**2 - 2394455?\nAnswer: -492784*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5856 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(-22)*(-20)\/(-25)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-2)\/16)\/((-1)\/22))\/((-81)\/324)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28 + 12 + 15*i**2 + 12.\nAnswer: 15*i**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the first derivative of d**3\/3 + 7*d**2\/2 + 4*d + 19. What is x(-5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89014043 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + 2. Suppose 3*a = i*j - 20 + 4, 5*a = -2*j + 48. List the prime factors of j.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**2 + x - 23. What is the remainder when 66 is divided by m(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2611\/36 + -291\/4. Which is the fourth smallest value? (a) 5\/6 (b) -5 (c) q (d) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-138573)\/2422*112\/96*(-4)\/(-6)\nAnswer: -89\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2 - 892\/(-10)) + (-4)\/(-5). Let h be l\/(-4) - 4*6\/8. What is the units digit of 27\/((h\/(-5))\/25)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 170445977 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 108674 - 49785. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 99100689 to the power of 1\/5, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**(-5\/3))\/a**(2\/11))**(-30\/13) assuming a is positive.\nAnswer: a**(-820\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.6306*-0.002.\nAnswer: 0.0012612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1084891 divided by -1084891\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -131*y**3 + 9*y**4 + 68*y**3 + 68*y**3 + (-3*y**3 - 2*y**3 + 4*y**3)*(3*y - 2*y + 0*y) - 11*y**4 + 0*y**4 - 13*y**4.\nAnswer: -16*y**4 + 5*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1275.642242 rounded to zero decimal places?\nAnswer: 1276","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30*((-2112)\/(-90))\/(-16).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -307.6 - -304. Let s = -4.12 - r. Which is bigger: 0 or s?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -3*r - 9. Let l be p(-6). Let q(o) = -6*o + 250. Let u be q(-19). Suppose -u = 2*j - l*j. What are the prime factors of j?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -614*s + 16316 = -68*s + 3758 for s.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 114 = -2*l - 52 + 34, 13*s + 380 = 4*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11373 by -90.\nAnswer: -3791\/30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the second derivative of k**4\/6 - k**2\/2 - 10358*k. Let q(n) = -n**2 + 2*n. Let d(v) = -3*v**2 + 5*v. Let o(x) = -2*d(x) + 5*q(x). Give c(o(l)).\nAnswer: 2*l**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -641 or -0.1?\nAnswer: -641","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 753596459 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, e: 1, b: 1, v: 4}. Give prob of picking 1 v and 1 t.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 2299*u**2 - 64*u - 298. Is t(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23468909 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (211 - 161 + 4*z - 10*z - 20*z)*(-2*z + 2 - 2).\nAnswer: 52*z**2 - 100*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-153)\/63)\/(3\/(-21)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 12896*y - 270808. Determine c(21).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -21747 to the nearest one thousand.\nAnswer: -22000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2505234?\nAnswer: 2, 3, 31, 13469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -144, -2\/7, -0.07, 0, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -7199401 to the nearest one million.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -382114*w - 537181*w + 162919*w + 98739*w.\nAnswer: -657637*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 17? (a) 4\/5 (b) -0.02 (c) -2 (d) -72 (e) -92 (f) 2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = h - 2 - 0, 0 = 2*h + 3*v - 2. Suppose h*s + a = -4*a + 63, 3*s - 3*a - 27 = 0. Calculate the highest common divisor of 36 and s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*u**2 + 260*u + 1704.\nAnswer: -4*(u - 71)*(u + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - -686.024.\nAnswer: 687.024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -53 - -50. Let w be -2 + n\/((-6)\/(-2)) - -9903. Round w to the nearest 1000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4, -1, 3, -67, -6, 2\/3, 1\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29466968?\nAnswer: 2, 647, 5693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 + 2. Let v = -0.0214 - -0.4214. Suppose 0 = -4*w + 9 - 1. What is the closest to w in i, v, 4\/7?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 329600 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-9)\/2)\/(399\/(-5199236))?\nAnswer: 2, 3, 29, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14*s**4 + 118*s**2 + 25*s**2 - 49*s**2 - s**6 + 2*s**6 wrt s?\nAnswer: 120*s**3 + 336*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-12)\/8*12\/(-9). Let z be ((-70)\/(-21))\/(v\/(-6)). Find the common denominator of 1\/z*(-1505)\/(-252) and -61\/6.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - h + 208 = w, w - 80 = 5*h. What is the highest common factor of w and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 0.6871773 centimeters?\nAnswer: 6871773","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.08755 times -143?\nAnswer: -12.51965","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a. Suppose 0 = -5*p - 4*d + 5, -3*p + 40 = 4*d - 9*d. Suppose -p*r + 20 + 0 = 0. What are the prime factors of m(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b**2\/2 + 9592759*b - 92021025232081\/2 = 0.\nAnswer: 9592759","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 589125716?\nAnswer: 2, 331, 449, 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(190) + sqrt(190) + -1*sqrt(190))*-1)\/(2*sqrt(30)\/sqrt(3))*6)**2.\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -27629 - -27629. Which is the closest to o? (a) -3\/7 (b) -123 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-351)\/104)\/(17\/(-2720)*15)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2)*b**(-1\/12))**32 assuming b is positive.\nAnswer: b**(-200\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q. Let w(h) = -3*h - 11. Let n(r) = -4*a(r) - w(r). Let f = 42 - 38. Suppose -8*t = -f*t + t. Calculate n(t).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-31)\/2 + (-10)\/(-4))*-1. Find the first derivative of -35 - j*z + 21*z - z**4 - 10*z - z**4 wrt z.\nAnswer: -8*z**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 + -5.7. Let k = 1.239 + 1.761. Let f = 2.1 - 2. Which is the closest to f? (a) m (b) k (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -799, -1460, -2121, -2782?\nAnswer: -3443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*b - 4*b - 516 = 0. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 61138 times -0.1\nAnswer: -6113.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -320 in 1\/6, 1\/32, 3\/2?\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -139072.94 + 0.0405899?\nAnswer: -139072.8994101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the third derivative of q**4\/24 + q**3\/2 - 76*q**2. Give u(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**2\/5 + 135001092*r\/5 + 1518774570099372\/5.\nAnswer: 3*(r + 22500182)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 406972808?\nAnswer: 2, 11, 4624691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07 times -0.7?\nAnswer: 0.049","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -59*i + 92. Let r(j) = 7*j - 12. Give 6*l(p) + 51*r(p).\nAnswer: 3*p - 60","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -4*z**3 - 57*z**2 - 71*z + 28. Let d be k(-15). Calculate the greatest common divisor of 416 and d.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-4)\/v**(-2)*(v**(-4)\/v)\/v**(-4\/5) assuming v is positive.\nAnswer: v**(-31\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 1305506672?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01117346 to 5 dps.\nAnswer: 0.01117","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 8 + 251*r**2 + 1.\nAnswer: 251*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000685 rounded to 6 dps?\nAnswer: 0.000069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:23 PM and 3:27 AM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-1606)\/10)\/(4\/10). Let z = -375 - q. What is the common denominator of 148\/6*(-6)\/56 and z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -2*u**3 - 27*u**2 + 12*u - 26. Let v be n(-14). What is the second derivative of 28*r**2 + 25*r**v - 46*r + 76*r**2 wrt r?\nAnswer: 258","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 281 - 287. Let r(q) = 2*q**2 + 29*q + 124. What is the least common multiple of r(s) and 112?\nAnswer: 1232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 40 = 4*q, q - 4 = 4*n + 5. Let v = q + 14. What is the closest to -1 in -5, 4, v?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 92*p**3 - 8*p**2 + 16*p + 12. Let s be z(5). What is s rounded to the nearest one hundred?\nAnswer: 11400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2183337 times 0.2\nAnswer: -436667.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -623 at most -620?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 45 = -105*u + 107*u, 101 = 5*q + u. Solve 5 + 109 = -q*f for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 948*k - 948*k + 3*k**2 + (-2 + 4 - 3)*(-5*k**2 - 3*k**2 - 5*k**2) + 2*k**2 + 0 + 0 to v*k + r*k**2 + f and give r.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-4)*-4 - -4. Solve 3*b = -3*o, o - 5 + 2 = q*b for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 24 - -34b?\nAnswer: 372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.079 - -0.379. Let m(f) = -f**2 - 7*f + 3. Let u be m(-6). Let b be 5\/(-15)*u\/(-2). Which is smaller: b or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 1 d when three letters picked without replacement from dddddddhhddddddddd.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**2 - 21*d - 2. Let t(c) = -c**3 + 2*c**2 + 21*c + 3. What is 3*p(l) + 2*t(l)?\nAnswer: -2*l**3 + l**2 - 21*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 6754, 6745, 6734, 6721, 6706?\n\"Answer: -d**2 - 6*d + 6761","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -2*v + 4. Let u be a(-7). Suppose -2*g - u = -0*g. Let c be 32\/3*g\/(-4). Calculate the highest common divisor of 6 and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -4575, -8717, -12855, -16989, -21119?\n\"Answer: 2*y**2 - 4148*y - 429","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1012 - -1612. Calculate the highest common divisor of 96 and i.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 1, 11\/9, 2\/7, 0.15 in decreasing order.\nAnswer: 6, 11\/9, 1, 2\/7, 0.15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -v**3 + 2*v**3 + 852*v**2 - 430*v**2 - 422*v**2.\nAnswer: v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 - -b00?\nAnswer: b04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**3 - 94*v**2 - 986*v - 22. What is r(-12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -0 - 3, -2*i = -m + 48. Suppose -3*g - 20 - 5 = -o, -2*o + 3*g = -m. 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 the value of (-25)\/(-10) - 110\/40?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.1 (b) 0.3 (c) -27 (d) 88.8 (e) 2\/15 (f) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -4*b + 101. Determine a(26).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 - -184. Is v a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7209, -7158, -7051, -6864, -6573, -6154?\nAnswer: -5583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 428 and 22.\nAnswer: 4708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 2) to base 16\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12 + 11. Let j = 124 + -127. Which is the smallest value? (a) -4 (b) -0.5 (c) j (d) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-12 - 12) + (-14 - -29)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 480 = -5*y, 8*r - 384 = -4*y + 3*r. Suppose y = -2*d + 5*d. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4938 or 5272?\nAnswer: 5272","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -175\/5016 and 82\/627.\nAnswer: 5016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5*i + 4*i + 2*i)*(-4 - 2*i + 4) + 345*i - 345*i + 73*i**2)*(-304*i - 72*i - 83*i).\nAnswer: -32589*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 43, -5, -3, 2, 817 in decreasing order.\nAnswer: 817, 43, 2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c\/(((c\/(c\/c**(1\/3))*c)\/c*c)\/c)))\/(c\/((c**(-1\/3)\/c)\/c))*((c**(-4\/9)\/c)\/c*c)\/(c*c\/((c\/((((c**(2\/21)\/c)\/c*c)\/c)\/c*c))\/c)) assuming c is positive.\nAnswer: c**(-286\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m\/(m*m**(-1))))**(-27\/4) assuming m is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*y - 4\/3*y**4 + 0*y**2 + 16*y**3 - 4\/3*y**5 + 0.\nAnswer: -4*y**3*(y - 3)*(y + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22096\/4 - ((-8)\/(-4) - -6 - 2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5.06 - 0.06. Let o = -11.1 + 9.1. Put 1\/10, o, q in decreasing order.\nAnswer: q, 1\/10, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -901339*-1467.\nAnswer: 1322264313","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1544322 and 31.\nAnswer: -47873982","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -2434 (b) 0.3 (c) -117 (d) -0.4 (e) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -369, -390, -423, -474, -549?\nAnswer: -654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/13 (b) 184 (c) -3\/5 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.1 - -0.1. Let j = 71\/9 + -8. Let h = 28 + -24. Which is the second biggest value? (a) j (b) h (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 33021 in -5, -2\/3, -4, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/19431 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*35.217.\nAnswer: -14.0868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**3 - 4*v**2 - 2*v + 10. Let f be m(7). Let y be -3 - (14 - 14) - -14. Calculate the greatest common divisor of f and y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the second derivative of i**4\/12 + 3*i**3\/2 + 3*i**2\/2 - 3*i. Let d(n) = -3*n**2 + 0 + 2 + 8*n + 4*n**2. Let h(r) = 4*d(r) - 3*m(r). Give h(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*b**3 - 95164*b**2 - 1207560*b + 1779232 = 0. Calculate b.\nAnswer: -14, 4\/3, 7943","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2848747 (base 11) to base 9.\nAnswer: 10200706","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the first derivative of h**3\/3 + 5*h**2 + 25*h - 9. Suppose o(f) = 0. What is f?\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 12*w + 32 = 0. Sort 4, 2, -6, w in ascending order.\nAnswer: -6, w, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -11*f**3 + 8*f**2 + f - 1. Let b(x) = 5*x**3 - 4*x**2. Let k(r) = -9*b(r) - 4*v(r). Let q(l) = 4*l - 29. Let i be q(8). Calculate k(i).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - n - 1)*(2*n - 2*n - 2*n)*(-3*n - 4*n + n) to the form v*n + u*n**3 + j*n**2 + w and give u.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -324 + 325. What is the closest to -4 in 2, m, 3, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/(-4) - 1547\/(-28) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11300 (base 9) in base 6?\nAnswer: -54513","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50928 is divided by 414.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -22541 + 22694. Calculate the highest common factor of 30447 and q.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**3 - 9*o**2 + o - 7. What are the prime factors of m(10)?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-55)\/20 - -3) + (-45)\/84?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10651 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/6*6 - -1. Find the third derivative of -4*k**2 - 5*k**4 + 2*k**2 - k**4 + 5*k**s wrt k.\nAnswer: -24*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*r - 11 - 16 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11397 a factor of 3623381229?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 50241510 by 22.\nAnswer: 2283705","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 1 l when three letters picked without replacement from zwzvvvvvvwlzl?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**3 + 3*u**2 - 5*u - 3. Let n be r(-4). Sort -3, n, -2 in ascending order.\nAnswer: -3, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47*i + 16*i + 15*i + 13*i**2 - 33*i**2 + 16*i.\nAnswer: -20*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -742412*a**3*u**4 + 9270*a**3*u**2 - 14*a - u**2 wrt u?\nAnswer: -17817888*a**3*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 111780 and 37260?\nAnswer: 111780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**2 + 4*x - 113. Give b(0).\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8362, 8430, 8518, 8626, 8754, 8902, 9070?\nAnswer: 9258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1211 (base 3) to base 11\nAnswer: -45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*o**3 + 671982*o**2 + 2359797*o?\nAnswer: -12*o + 1343964","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 84 divide 672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 3 = m. Let t be ((-19)\/(-3) - 4)*m. Solve 4*n + 1 = -3*h, -4*n - t = -2*h - 1 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/32 in 9\/17, 15, -2\/5, 13, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwwwiidiiiw. Give prob of sequence iwd.\nAnswer: 5\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -16.06 + 5.\nAnswer: -11.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -788, -157, 3266, 10873, 24056, 44207?\nAnswer: 72718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**3 + 9*g**2 + 8*g - 1. Let v be z(-8). Let w(n) = -n**3 + n**2 + 2*n + 1. Let b be w(v). Suppose 2*m + b - 73 = 0. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the first derivative of -h**4\/4 + 8*h**3\/3 - 7*h**2\/2 + 5*h + 5. Give n(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 67*j**5 + 183*j?\nAnswer: 1340*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -9*x**2 - 7*x - 7. Let s(o) = -2*o**2 + 27*o + 8. Let f be s(14). Let q(l) = l**2 + l + 1. Give f*q(m) - b(m).\nAnswer: 3*m**2 + m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2 or 327618?\nAnswer: 327618","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + 4*z = -12, 2*h - 7 = 11*z - 8*z for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes after 4:55 AM?\nAnswer: 5:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) -0.0462 (c) 0.05 (d) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 427 or 429?\nAnswer: 429","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r**2 + 3*r**2 - 2*r + 2*r**2 + 2)*(5 + 2 - 4).\nAnswer: 12*r**2 - 6*r + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 820.0179 millilitres to litres.\nAnswer: 0.8200179","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes before 7:45 AM?\nAnswer: 2:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -237800 rounded to the nearest 1000?\nAnswer: -238000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/1*(-9)\/3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -495 - -827. Suppose -342 = -2*v + z. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -875\/8 + 109. Sort -0.3, -0.1, v.\nAnswer: v, -0.3, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 3*s = -5. Let d be (0 - 0)*(-5)\/s. Suppose d = 3*o - 8*o + 90. What is the highest common factor of o and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 933\/111560 or 2\/5?\nAnswer: 933\/111560","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 154*g**2 - 411845 + 1390*g - 159*g**2 + 1480*g = 0.\nAnswer: 287","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*3\/75*(-5)\/2.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(14)\/(-3*sqrt(6)\/sqrt(3)) + 5*(3 + 1*-2*sqrt(7)).\nAnswer: -31*sqrt(7)\/3 + 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18 and 168?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6056.58551 rounded to the nearest one thousand?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*m**3\/5 + 246597*m**2\/5 - 2539599876*m\/5 + 24015050532.\nAnswer: -3*(m - 20526)**2*(2*m - 95)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + (2*sqrt(2299) - sqrt(2299)))**2 + -4*1*sqrt(2299) - ((0 + 0 + sqrt(2299) + 1)*-4)**2)*2.\nAnswer: -69000 - 748*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -261*u = -3204 - 2538 for u.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -38*z + 8. Let f(a) = -211*a + 104*a + 104*a. Calculate f(v(h)).\nAnswer: 114*h - 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 16561165267 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5134082306 to the power of 1\/9, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 15*y + 3. Let h(x) be the first derivative of -x**2\/2 - 82. Calculate f(h(k)).\nAnswer: -15*k + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the third derivative of 2*p**7\/35 + 11*p**4\/24 + 20*p**2. Find the second derivative of c(a) wrt a.\nAnswer: 144*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 22 = 5*g, -3*g = 2*w - 2*g - 14. Suppose -w*n + 468 = 3*n. What is the tens digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 + 1. Suppose 0 = u*j - 3*q - 33 + 2, -3*q - 27 = -3*j. Let i(c) = 2*c**2 - 4*c - 5. Let t be i(j). Solve 2*k - 12 = -4*f, -4*k + 2*k - 3*f = -t for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/((10\/(-150)*3)\/((-12)\/(-45))).\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13 - -16. Suppose -4*c - q - 25 = -7*c, 2*q - 22 = -p*c. Let m(k) = -2*k**2 - 15*k + 52. Let x be m(-10). Solve -x*t + c + 2 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + -2 - -1) + 1 - -4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 14*d + 59. Let q be x(-4). Suppose -2*w - 3*o + 10 = 0, -2*o = 3*w - 0*o - 10. What is the greatest common factor of w and q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence po when two letters picked without replacement from ugpglloppoulggllgl.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 139349418 less than -0.4?\nAnswer: -139349418.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = r - 4*b + 8, 144*r - 143*r - 2*b = -4 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-36)\/(-25920)*40)\/(1\/(-2))\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 87\/460 and -1\/8930.\nAnswer: 410780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62336?\nAnswer: 2, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w - 9. Let z = -7.9 + 8. Let g = 4 - 8. What is the closest to z in g, w, 5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 169.7984835 less than 111?\nAnswer: -58.7984835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(324) - (sqrt(324) + sqrt(324)*-2*6)) + sqrt(324) - 2*sqrt(324)*-5)\/(1*sqrt(108) - sqrt(108) - (sqrt(72)*-1)\/sqrt(6)).\nAnswer: 207*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, q: 5, c: 3, g: 6, p: 1, r: 1}. Give prob of picking 2 g.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -21551 or -21555?\nAnswer: -21555","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 753731 or 753939?\nAnswer: 753939","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 25544885 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19150 to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 104685 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.7 (b) -0.4 (c) -168805 (d) -4 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 + 5. Let h(f) = f**3 - 6*f**2 + 5*f + 1. Suppose u + 3*u = 3*x + 32, -5*x - 45 = -5*u. Let l be h(u). Solve b*a - 3 = l for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 743053*f**3*q - 5387*f**3 + 57*f - 2 wrt q?\nAnswer: 743053*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 7756759.264 and -12?\nAnswer: 7756771.264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 43*r**3 + 3*r**2?\nAnswer: 258","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-24*(-80)\/4736*-1))\/((-4)\/6).\nAnswer: -37\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8\/10 - (-24)\/(-60). Which is smaller: s or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vevwvwveiewsvwvevvv. Give prob of picking 1 e and 1 s.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-4 + sqrt(220)\/sqrt(5)))**2 + ((0 + sqrt(891)*1)*6)**2.\nAnswer: -576*sqrt(11) + 34236","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/(-84)*4)\/(7\/(-9))?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -150*f**2 + 13 - 13 + 12*f.\nAnswer: -150*f**2 + 12*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62*m = -57*m - 95. Solve 5*b - 20 = 0, p + 3*b = -2*b + m for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 divided by 5416517\nAnswer: 7\/5416517","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -128 (b) -4 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, b: 1, f: 1, e: 2, k: 2}. Give prob of picking 1 e and 1 k.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 209*h - 463*h = -234*h + 500 for h.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w - 16, -5*x - 2 = -0*x + 2*w. Let p(t) = -t**2 + 3*t + 5. Let f be p(x). What is the nearest to 2\/7 in -2, f, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -3, -9 in decreasing order.\nAnswer: -3, -9, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 3*t**2 - 6*t + 1. Let q be r(2). Sort 4, 80, q in descending order.\nAnswer: 80, 4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*j = -263 + 278 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8526, 8530, 8536, 8544, 8554?\nAnswer: 8566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 71 + -51. Suppose 7*q - p = 1. Suppose 76 = 3*x - 2*x - q*m, -m = -x + 70. Does 9 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**2\/3 - 2959*o\/3 - 2118430\/3.\nAnswer: -(o + 1214)*(o + 1745)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29251961 is divided by 584?\nAnswer: 569","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -85*u**2 + 3*u. Let o(c) = 15*c + 30. Let m(k) = -28*k - 54. Let l(h) = -5*m(h) - 9*o(h). What is q(l(w))?\nAnswer: -2125*w**2 + 15*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*t**2\/5 - 522*t + 7812\/5 = 0. Calculate t.\nAnswer: 3, 1302","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -29 - -55. What is the first derivative of 22*q**3 - z*q**3 - 6 + 11*q**3 wrt q?\nAnswer: 21*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v - 3, x - 4*v - 12 = 2. Let r = 0 - -0.3. Let s = r - 0. What is the third smallest value in -1, s, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 5 = 9. Let u = -55 - -60. Let s be (-20)\/(-8) - (-20)\/(-8). Which is the biggest value? (a) s (b) u (c) 0.3 (d) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -892746 rounded to the nearest 10000?\nAnswer: -890000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 1614*w + 83. Let j(u) = -323*u - 15. What is -2*f(q) - 11*j(q)?\nAnswer: 325*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 47 - 68 = 0. Suppose t = 5*b - 137. Suppose 4*m - 3*v - 372 = 0, -v = -m + 61 + b. Does 31 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/(n*n**(-1\/20))*n*n\/(n\/(n*(n\/n**(-23))\/n)) assuming n is positive.\nAnswer: n**(501\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/3636 and -145\/2424?\nAnswer: 7272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-51)\/459*(-132)\/(-154)?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 i when two letters picked without replacement from {z: 3, y: 5, i: 3}?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 5*o**3 + 2*o**2 + 1. Let y(d) = 7*d**3 + 3*d**2 - d + 2. Calculate -4*t(w) + 3*y(w).\nAnswer: w**3 + w**2 - 3*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are 80\/9 and 9 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -478 + 516 - (50 - -1).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the second derivative of 1\/2*h**3 + 0 + 5\/2*h**2 + 5*h. Differentiate b(g) with respect to g.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -25\/12 + 11\/6. What is the second biggest value in 0.5, 4, t, -4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*t + 78*t + 3*l - 132 = 0, 0 = -3*t - 4*l + 57 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 - -1. Let g = -5 - n. What is the units digit of (-2)\/g - 23\/(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-12)\/4)\/((-12156)\/2433 + 5). Let o = 1870 + g. What are the prime factors of o?\nAnswer: 3, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 96693 or 127?\nAnswer: 96693","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v. Let p be s(2). Suppose -2*x = -5*g + 21, p*x - x - 7 = -g. Suppose -x*l + 252 = 2*l. Is 16 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1790?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 133*o**2 + 91 wrt o.\nAnswer: 266*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from atttarttnraartrnx. Give prob of picking 1 t, 2 r, and 1 n.\nAnswer: 18\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**3 - 4*o**2 - 2*o + 5. Is 10 a factor of d(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2885, 11367, 25487, 45233, 70593, 101555, 138107, 180237?\n\"Answer: -2*k**3 + 2831*k**2 + 3*k + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 445.3286 kilometers?\nAnswer: 44532860","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 472? (a) -0.1 (b) -20 (c) -1\/2 (d) 0 (e) -0.31 (f) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 25779 and 33.\nAnswer: 283569","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3674 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 67 = -2*m + 21, -4*m = 3*a - 64. Let v(b) = -b**2 - b + 16. Let i be v(0). Calculate the highest common factor of a and i.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 + 6c85c3?\nAnswer: 6c85c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 399136 is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 - 5. Let d(z) = -z**2 - 32 + 2*z + 47 - z. What is d(y)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**2 - 8*o + 7. Let c be h(11). Suppose 5*t - 2*t = 4*f + 53, -3*f = 5*t - c. What is the least common multiple of t and 4?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 134675 * 0.1\nAnswer: 13467.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yaiyyhlya. What is prob of picking 2 a and 1 h?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 25.75727 - 0.03127. Let g = 0.426 - z. Let j = -25 - g. Which is the biggest value? (a) -2 (b) 2 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -67484.51501 rounded to the nearest 1000?\nAnswer: -67000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -36.1 + 36. Let v = -7.4 - -7. Which is the nearest to d? (a) v (b) 5 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y = -x + 3941 - 3968, 771 = -3*y - 37*x for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -7*o + 29. Suppose 5*a - 20 = 10. Let n(k) = 8*k - 30. Let y(r) = a*n(r) + 7*f(r). What is the lowest common multiple of y(-7) and 21?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -3*m + 17 + 3*m - m. Let x(y) = 3*y**3 + 8*y**2 + 2*y - 4. Let h be x(-3). List the prime factors of o(h).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 2 b when three letters picked without replacement from {x: 1, n: 4, b: 2}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes after 3:50 AM?\nAnswer: 10:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4, -186507.\nAnswer: -186507, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 435 and 14500.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*i**4*m**2 + 5*i**4 - 6*i**3*m**2 - 2*i**2*m**2 + 220*i**2*m wrt i?\nAnswer: 48*i*m**2 + 120*i - 36*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -90021 divided by -37.\nAnswer: 2433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -16956359 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 221118885?\nAnswer: 3, 5, 13, 377981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9? (a) 19 (b) -4 (c) -0.3 (d) -2\/5 (e) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*w + 5*w + 15 = 0. Let t be (16\/(-40))\/(w\/(-15)). Suppose t*q + 6 = 30. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -3*s + s**3 + 3*s**2 - 1 + s + 2*s - 6*s. Let z be u(-4). Let x(h) = -2*h + 1. Determine x(z).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 902, 937, 1048, 1277, 1666?\nAnswer: 2257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -21*(7\/3 - 1). Which is bigger: y or -27?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) -0.02 (b) -2\/3 (c) -0.13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = -41*u + 51*u. Let f(v) be the third derivative of -13*v**2 - 7\/3*v**3 + 1\/30*v**u + 0*v + 0*v**4 + 0. Differentiate f(m) with respect to m.\nAnswer: 4*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13 + 15. Let r(w) = 2 - 7*w - k + 9*w. Let x(j) = -6*j. What is r(x(h))?\nAnswer: -12*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 53 + 6*a - 53 + (-1 + 1 - 1)*(-4*a + 0*a + 6*a) in the form o + n*a and give n.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13399.76777278 - 13259.767774. Let s = -88 + 228. Let b = k - s. Round b to seven decimal places.\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 divided by 2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 47*c - 53*c - 72. Let w(l) = -3*l + 6. Let b be w(6). Is c greater than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/72)\/(1*-2)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n - 2*n - 30. Let w = n - -24. Calculate the lowest common multiple of w and 12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 23*v + 44*v + 23 = 2*r + 22*v, 858 = -4*r + 443*v for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1033*u**3 + 953*u**3 - 2034*u**3.\nAnswer: -48*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence us when two letters picked without replacement from uosuuulhu?\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -11*b + 3. Let t(w) = 7*w + 6. Let d(l) = -20*l - 17. Let q(y) = 6*d(y) + 17*t(y). Give p(q(h)).\nAnswer: 11*h + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.2, -10\/3, -500, -1\/2, 4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**3 + 8*u**2 - 22*u + 86. Determine n(6).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7795707 a multiple of 169?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (6 - 1206)\/(0 + -1). Let h = w - 409. 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 2 j and 1 y when three letters picked without replacement from {e: 2, b: 2, y: 4, j: 2, q: 4}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3866 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, 715 in descending order.\nAnswer: 715, 5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.134 and -61983?\nAnswer: -8305.722","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**3 - 16*o**2 + 45*o - 444. Determine c(15).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-v + 2*v - 2*v)*(-113 + 113 - 49*v**2) - 14*v**3 - v + 4*v - 3*v in the form p + g*v**2 + r*v + s*v**3 and give s.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -19*l + 9. Let c(v) = -10*v + 4. Let q(o) = -11*c(o) + 6*w(o). Let s(m) = -8*m + 19. Let r(t) = -5*q(t) + 3*s(t). Does 13 divide r(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -36*r**2 + 15*r - 15. Let d(h) = 5*h**2 - 2*h + 2. Let a be 11\/33 - 7\/3. Suppose 15*n - 18*n + 4*o = 49, -5*n + o = 76. Calculate a*t(p) + n*d(p).\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 30820078 divided by -2?\nAnswer: -15410039","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000041495 to 6 decimal places.\nAnswer: -0.000041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-22)\/3*15\/10?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -62 + 59. What is the biggest value in 0.1, 4, y?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 - -3. Let s = 3 + c. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the first derivative of -47*a**4\/2 - 4*a**3\/3 - a**2\/2 + 2*a + 4. Let p be r(-2). What is p rounded to the nearest one hundred?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13874 and 5208?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -5*y + 3. Let o be (4\/6)\/((-10)\/(-15)). What is the units digit of 31 + 3 + (y - o)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4327649 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q + 13. Give r(0).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**2. Let d(f) = -24*f + 57*f - 31*f. Calculate d(y(i)).\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -2*g**2 - 6*g + 5. Let m be n(-4). Let y be (-184)\/12 + m\/(-9). Let h(o) = -o + 1. Let d be h(6). Sort 0, 2, y, d in decreasing order.\nAnswer: 2, 0, d, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3 - (-3)\/(0 + 3). Solve s + b + 2 = 0, -2*s + 2*b = -16 + v for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 2*s - 14, 0 = 3*s - 4*l + 1 - 25. Let d be ((6\/s)\/(-3))\/(1\/4). Sort d, 2, 4, -5 in ascending order.\nAnswer: -5, d, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**2 + 13*c + 2. Let o be w(13). Let p = 47 + -47.4. What is the second smallest value in 2\/9, p, o?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the first derivative of -5*x**2\/2 - 182. Let q(g) be the third derivative of 4*g**4\/3 + 14*g**2. Determine q(t(j)).\nAnswer: -160*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 + 2)*3 + 1. Suppose 0 = -5*a + m + 1. Is (33 + (0 - -2))*a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q when three letters picked without replacement from frqqffq.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -147*z + 142*z + 3*j = -4, 0 = z - 4*j + 6 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + (-20)\/(-4) + -22 - 4.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 6*q + 9. Let d(r) = 3*r + 5. Let u(x) = 9*d(x) - 5*i(x). Let w(j) = -7*j. What is w(u(t))?\nAnswer: 21*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:28 AM and 8:14 PM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-51)\/10659*247*22\/(-4)\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-1436)\/(-28) + (-4)\/14?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(32)\/sqrt(36))\/(sqrt(576) - (sqrt(576) + -2*sqrt(576))))**2.\nAnswer: 1\/2592","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*t - 11*t - 16779 - t + 16779.\nAnswer: -35*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -1157 smaller than -1156?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 117*d = -59*d + 130*d - 552 for d.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.3331 rounded to the nearest integer?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 15 = -l, -5*l = 9*j - 10*j + 15. Let a = 9 - 5. Solve -a*f - j = -f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-9 - 13 - -47) + 123. Solve c - 144 = g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -21 + 60. What is the remainder when w is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 199977973 is divided by 144.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-1*(sqrt(550)*-2 + sqrt(550)))\/(4*sqrt(2)*-3 + -3*sqrt(98)).\nAnswer: -5*sqrt(11)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the second derivative of -i**5\/20 - i**4\/2 + 7*i**3\/6 + 9*i**2\/2 - 3*i. Is 9 a factor of r(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, 5, -1097.\nAnswer: -1097, -2, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes before 10:23 AM?\nAnswer: 6:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**3 - b**2 - 3*b + 2. Let g be t(2). Suppose -4*v + 0 + 4 = g. Let d(s) = s**3 - 4 + v - 2*s**3 - 3. What is d(0)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3733 divided by -200572\nAnswer: 3733\/200572","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 89222928 and 17072?\nAnswer: 1552","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-105)\/25 - 15\/(-3).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 2*a**3 - a - 1. Let p(s) = 3*s**3 + 12*s**2 - 6*s + 5. Let f(w) = -p(w) + 3*r(w). What is the second derivative of f(i) wrt i?\nAnswer: 18*i - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*a - 8*a + 44 = 2*m, -a = -5*m + 92. Which is bigger: 11 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 16\/394433 and 46\/1486709.\nAnswer: 19327217","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 44\/(((-854)\/1008)\/((-6)\/12) + (-95)\/76)\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*m - 15, -j - 5*m + 127 - 147 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0\/((-10)\/(-2)) + 2. Factor i**2 - 2*i**2 + 12 - 12*i + 0*i**3 - 2*i**j + 3*i**3.\nAnswer: 3*(i - 2)*(i - 1)*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v - 2*v + 255. Let b be 2\/(8\/(-26)) + v\/(-34). Suppose 0 = -4*n - 7 - 25. Is n >= b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 11\/((-462)\/(-56)) + (-26)\/6. Let p(y) = -1. Let k(g) = -g + 3. Calculate o*p(v) - k(v).\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = w + 4, 0 = -2*b - 2*w + 11 - 9 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 69\/112 and 5\/672?\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -a - 2*y, -a - 7 = -0*a + 3*y. Let t be 1*-2*6\/a. Solve 4 - t = -w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the third derivative of 19*x**7\/210 - 16*x**3\/3 - 31*x**2. What is the first derivative of f(y) wrt y?\nAnswer: 76*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1701, 3861, 6021?\n\"Answer: 2160*g - 459","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**2 - 1695*i - 592624. What is h(-493)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -11 (b) 1 (c) 0.4 (d) -4 (e) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*w**4 - 15*w**2 + w - 9 wrt w?\nAnswer: -84*w**2 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6 by -2511.\nAnswer: -2\/837","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(1700) + 1) + 0)**2 + ((3*-2*sqrt(153))\/(sqrt(36)*3))**2.\nAnswer: 720*sqrt(17) + 61253","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = -z + 253. Suppose 0 = -2*l + z + 1398. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-504270)\/24 - -10) + (-5)\/(-4). What is d rounded to the nearest 1000?\nAnswer: -21000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 130 - 126. Suppose 0 = 8*c - 3*c - 80. Suppose 4*i - c - 64 = 0. Calculate the least common multiple of v and i.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-142)\/(-20) - ((-3)\/13 - (-1032)\/3120). Solve -3*m - 2 + 10 = t, -o*m = t - 12 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 101411210 (base 5) to base 14\nAnswer: acc83","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2086*j - 216*j + 2418*j = 225*j - 77197 for j.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 285*q**2 - 85*q**2 - 831*q + 831*q + 245*q**2 + 144*q**2.\nAnswer: 589*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1652, 2\/9, -11 in decreasing order.\nAnswer: 2\/9, -0.1652, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*g**2*i**3*y**2 + g**2*i**3*y - 8*g**2*i**3 + 67*g**2*i**2 - 1816*g**2*y**2 - 18*g*i*y - i**3*y + 2*i**2*y wrt y.\nAnswer: -10*g**2*i**3 - 3632*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -547, -504, -461, -418?\nAnswer: -375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the third derivative of 5*x**8\/96 + 146*x**7\/7 + 2243*x**6\/48 + 83*x**5\/4 + 5685*x**2. Solve o(w) = 0 for w.\nAnswer: -249, -1, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -45 - -48. Let f = 2\/33 - 13\/33. Put f, k, 2\/9 in ascending order.\nAnswer: f, 2\/9, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + 4 - 1. Suppose -16 + 4 = 2*v. Let d(f) = 8*f**3 - 5*f**2 - 1. Let y(h) = h**3 - h**2. Calculate m*d(s) + v*y(s).\nAnswer: 2*s**3 + s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/11? (a) -2\/19 (b) -1 (c) 3 (d) 4\/67\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the third derivative of -17\/8*h**4 - 1\/70*h**7 - 32*h**2 + 0*h**3 + 0*h**5 + 0*h**6 + 0*h + 0. What is the second derivative of t(c) wrt c?\nAnswer: -36*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -3, 0, -122.\nAnswer: -122, -12, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/2 - 3)\/(-113 + 127)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:58 PM and 12:38 AM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the second derivative of a**4\/12 + 11*a**3\/6 + 7*a**2 - 6*a. Determine n(-11).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -253 - -392. Suppose p = 4*y + s, 5*y - 106 = 5*s + 99. Find the common denominator of (-283)\/(-144) - (-8)\/y and 13\/18.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -682*q**2 - 2*q + 461. Let u(i) = -24*i**2. Give z(u(h)).\nAnswer: -392832*h**4 + 48*h**2 + 461","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 819052150?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*s**5 + 15895*s**4 + 115721*s**3 + 12325*s**2 - 69472*s + 18004 = 0. What is s?\nAnswer: -7, -1, 2\/5, 643","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 55753067 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Do 23934 and 23933 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-38 - 1) + 13\/13)\/(-2). Let g(x) = x**2 - 16*x - 52. Let w be g(k). Solve -a - 3 + w = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8560000 to the nearest one million.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -101 - -101.0122. Round a to three dps.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 425678579621 + -0.84?\nAnswer: 425678579620.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -5*g + 18. Suppose z + g = 6*z. Put -2, z, 4 in decreasing order.\nAnswer: 4, z, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -f + 273*f**4 - 5*f**3 - 126*f**4 - 138*f**4 + 0 - 30 in the form r*f**2 + u*f**4 + h*f**3 + s*f + c and give u.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 37 - 1826*o**2 - 49 + 8*o**3 - 3*o + 1827*o**2 as z*o + u*o**3 + l*o**2 + d and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 43 minus -35980497561?\nAnswer: 35980497604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -20.2*104.7\nAnswer: -2114.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**3 - 13*b**2 + 70*b + 29. Give i(-17).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42658382?\nAnswer: 2, 13, 19, 86353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1045800 rounded to the nearest one hundred thousand?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 100705 is divided by 33278?\nAnswer: 871","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 3*a. Let p(m) = 3*m**2 + 2920*m - 12. Determine z(p(r)).\nAnswer: 9*r**2 + 8760*r - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - (-9 - 0) - 8) + -8.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is e24d - 76?\nAnswer: e1c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the first derivative of -n**5\/120 + 29*n**4\/24 + 8*n**3\/3 - 4. Let v(s) be the third derivative of q(s). Does 4 divide v(17)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(6480))\/sqrt(9).\nAnswer: 24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/7 or -782\/31?\nAnswer: -782\/31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 0.1, -1\/75, 3, -1, -0.3 in decreasing order.\nAnswer: 3, 0.4, 0.1, -1\/75, -0.3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**2 + 1. Let l(v) = -4*v**2 + 100*v + 2. Let r be l(25). Let s(h) = -7*h**2 + 3. What is r*s(g) - 6*p(g)?\nAnswer: -8*g**2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**3 - 16*l**2 - 12*l - 79. Calculate p(17).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3197407105 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 3 = -0. Let a(s) = 3*s. Let p be a(l). Suppose t + 5*z - 313 = 0, -3*t + 547 + 320 = -p*z. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -214 + 220. Let v = -28 - -48. Suppose -w = -j*w + v. Solve 20 = -m - w*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/37 or -0.3?\nAnswer: -1\/37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 3 (b) 1 (c) 3\/5 (d) -40\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand f**3 + f - 356 - 328 + 656 + 2*f**2 - 11*f**3 - 10*f**3 + 9*f**3 + (0 + 0 + 2*f)*(-7*f**2 + 2*f**2 + 0*f**2).\nAnswer: -21*f**3 + 2*f**2 + f - 28","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 26622929*g*q**3 - 2*g*q**2 + 2274487*g wrt q.\nAnswer: 159737574*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 85291565 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l - 5*c, 0*l - 4 = -4*l - 3*c. Suppose l*u = -u + 4100. What is u rounded to the nearest 100?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 132547127 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 49471840 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (79 + 11 + 17)*(-m + 3*m + m).\nAnswer: 321*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 17 = -2*v. Let s be (v\/6)\/(2\/12). Let n be ((-68)\/4 + 4)*s. Calculate the highest common divisor of 13 and n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 50979, 103027, 155075, 207123, 259171?\n\"Answer: 52048*y - 1069","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 41107?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ezeeeeeez. Give prob of picking 2 z.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.21 - 1.2. Let q = l - -2.99. Which is the second smallest value? (a) 0.3 (b) 0.4 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*a - 3*h = 28*a - 4, 4*h = -a + 3. Is 72 a factor of 348\/((a + 0)*(8 - 10))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:28 AM and 2:33 PM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -19, -21, -25, -31, -39, -49?\n\"Answer: -z**2 + z - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*z - 5 + 29*z + 2*z**2 - 6*z - 6*z as h*z + j + k*z**2 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/150 and (146*16\/(-96))\/494.\nAnswer: 37050","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 249 + -178. Is z a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 5, g: 9}. What is prob of sequence ggj?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 57933 and 80070.\nAnswer: 471","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxtttstxsttt. Give prob of picking 2 s and 2 t.\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(133) + (sqrt(133) - (sqrt(133) + sqrt(133)*-3*5) - sqrt(133)))\/(-4*sqrt(14)\/sqrt(2)).\nAnswer: -15*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*u + 13*u + x - 3580, 0 = -3*x - 15. What is the tens digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 b when two letters picked without replacement from {b: 2, q: 1, o: 1, d: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -89365976 divided by 61.\nAnswer: -1465016","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1345 = 9*f - 1553. Suppose f + 8 = 5*j. What is the tens digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 379 a factor of 4698842?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - 1 - (-3 - 4) - 8?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/4 + (5\/(-15))\/(80\/(-168)).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -506 + 845. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1000456283 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 72820 and 19602?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 = -22*o + 9*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7978370, -7978369, -7978370, -7978373, -7978378, -7978385, -7978394?\nAnswer: -7978405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 44\/5 of a century?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:31 AM and 2:36 PM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*d - 51*d + 31 = 0. Solve 3*q - 5 + 7 = n, -d = 2*n - q for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73361113.\nAnswer: 7, 211, 49669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w\/w**2*w)*w)**45*(w\/(w\/((w**(-17\/4)*w)\/w)))\/(w\/(((w\/(w\/(w**19*w)*w*w))\/w*w)\/w)))**(1\/35) assuming w is positive.\nAnswer: w**(407\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1949305.9713 + 0.81.\nAnswer: 1949306.7813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45749.\nAnswer: 11, 4159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 172215 to the power of 1\/2, to the nearest integer?\nAnswer: 415","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*n + 14*n = 16*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**3 - 3*p**2 - 17*p - 10. Determine h(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (72\/108)\/(4\/30 + 0). Let j be 2\/9 + (-453)\/(-27). Solve -5*v - d*h = -4*v + j, 4*v + 20 = -4*h for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 160 is divided by 153?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**2 + 8*p + 17. Let t be n(-7). Suppose 16*a = 21*a - t. Suppose 42 = h + 3*h + a*u, -2*h + 2*u = -12. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = 3*q - 8*q - 2*k, 0 = -2*q + 3*k - 2. Suppose 604 = 5*r + 3*j, -q*j - 498 = -4*r - 0*r. Is 46 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5 - 4 - 0\/(-1). Let z(x) be the first derivative of -x**5\/10 - x**4\/24 + x**3\/6 - 8*x**2 + 3. Let q(y) be the second derivative of z(y). Give q(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 333289, 1333201, 2999727, 5332867, 8332621, 11998989, 16331971?\n\"Answer: 333307*q**2 - 9*q - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11 and 4477793?\nAnswer: 49255723","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4663 + (9\/(90\/70) - -5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 2*l**2 - 55*l - 289. Let q be v(32). Let a(x) = x + 1. Let f(u) = 87*u + 116. What is q*f(w) + 116*a(w)?\nAnswer: 29*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 10175882 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 27 = 5*v, 2*l + 29 = 7*l - 3*v. Suppose 0 = -2*h + l + 36. Is 10 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -21 - 3*v**2 + 7*v - v**3 + 0*v**3 + 9. Let b be c(-5). Factor 0*g**4 - g**5 - 45*g + 45*g - 2*g**4 - g**b.\nAnswer: -g**3*(g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16753 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 73 - 40. Calculate the highest common divisor of 3 and u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 - -12. Does 9 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2993a (base 11) to base 6\nAnswer: -524133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2*(4 + -3) - 39\/2. Let c = h - -20. What is the nearest to 0.1 in 0.2, -2\/9, c?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes before 10:41 AM?\nAnswer: 3:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + o + 6 = -1, 5*o = 2*g - 9. Suppose -g*p + 0 + 4 = 0. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 0 - 1)*((0 + 0 - 2*p)*(-4*p**3 - 2*p**4 + 4*p**3) + 2*p - 50*p**5 + 52*p**5 + p).\nAnswer: 18*p**5 + 9*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(35)\/sqrt(5) + 0)*-5 - (1 + (-5 + sqrt(252)*-1)**2).\nAnswer: -278 - 65*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-6)\/(-9))\/((-2)\/(-3)). Suppose -37 = -3*x + 5*z, -z = 2*z + 6. Suppose -4*o - x = 7. Put -5, o, v in decreasing order.\nAnswer: v, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and -110298?\nAnswer: 11029.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 118*h + 9. Does 28 divide d(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 467.\nAnswer: 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 4*n - 3. Let c(l) = 3*l - 2. Let a(z) = -3*c(z) + 2*v(z). Let i(b) = 0 + 0 + 3*b. Give i(a(q)).\nAnswer: -3*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 87\/910 and -67\/110?\nAnswer: 10010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 24990347 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 28824 + -28811. Suppose -4*t - z = -9, -5*t - z = -6*z - 30. Solve x = t*w - 11, -4*x + s = -3 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(363) - sqrt(363) - sqrt(363) - sqrt(363)) + 3)**2*3.\nAnswer: -990*sqrt(3) + 27252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15 - 24 + 28)*(79 - 12*b + 18*b - 72)*(2*b + 3 - 3).\nAnswer: 228*b**2 + 266*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 0*m**2 + 2*m - m + m**2 + 5 + 4*m**2. List the prime factors of b(-3).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 10 = -3*g. Calculate the remainder when (-52)\/(-6) - (-8)\/(-12) is divided by g\/3*(-60)\/8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1112011112 (base 3) in base 7?\nAnswer: 153332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15*5\/(175\/6))\/((-432)\/(-4032))?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 1 (b) 2\/7 (c) -51 (d) -0.1 (e) -52\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wzfqffffqqwffwqwftwf. Give prob of picking 1 z, 1 f, and 2 q.\nAnswer: 18\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 225*v - 377*v + 7296 = 0. Solve v*f = 110 - 14 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -261, 0.3, -6, -1 in increasing order.\nAnswer: -261, -6, -2, -1, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) 0 (c) 2 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the second derivative of -7*w**5\/5 - 5*w**4\/4 - 3*w**2\/2 + 6*w + 3. Find the third derivative of n(g) wrt g.\nAnswer: -168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 95*(10098\/(-165) + 62)*(-1)\/4?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1435?\nAnswer: 5, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = 71 + 10. Let k = d - -43. Solve -8*w + 4*w + k = -4*a, -2*w = 5*a + 27 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 7773041504 and -0.2.\nAnswer: 7773041503.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes after 4:32 PM?\nAnswer: 10:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -91, 19, 7, -343, -5, 3 in ascending order.\nAnswer: -343, -91, -5, 3, 7, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 792\/1056 - (-30)\/(-8). Sort m, 0, 2 in descending order.\nAnswer: 2, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -21\/682 and 46\/77.\nAnswer: 4774","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -20 + 17.9. Let q = 2.3 - k. Round q to the nearest integer.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 13708 + 63000 = 3*u, -2*u + 32863 = -3*j. What is the greatest common divisor of u and 620?\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 (base 9) in base 10?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -135 and -0.14.\nAnswer: 18.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2148077*p**5 - 84338764*p + 1?\nAnswer: -42961540*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (284\/497)\/(106*1\/(-7)).\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -14 + (-6 - (-11 - 2)) - (0 + 6 + -37)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 230 = -2*f. Let l = -66 - f. Which is bigger: -37\/2 or l?\nAnswer: -37\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((2\/(-2))\/((-192)\/288))\/(558\/(-1581))?\nAnswer: -17\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-46)\/(-966)*2\/2*-3.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**2 + 7*d + 8. Let u be a(-2). Let g(p) = -3*p**3 - 2*p**2 + p. What is g(u)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -1\/11 (b) 2\/9 (c) 36\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 16) in base 15?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7316513 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**3 + 9*c**2 - 9*c + 10. Let l be x(-10). Is l >= -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.06, -3, -5, 1, 0.092 in increasing order.\nAnswer: -5, -3, -0.06, 0.092, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84) + (2*sqrt(84) - sqrt(84))*-3 - sqrt(84))\/(sqrt(10)\/(sqrt(15)\/sqrt(3))))\/(3*(sqrt(150) - 2*sqrt(150) - sqrt(150))*2).\nAnswer: sqrt(7)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 52668.1 millilitres to litres.\nAnswer: 52.6681","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*y - 43*y + 5 = -5*j, -5*j = y + 20 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the third derivative of -u**6\/600 + 13*u**5\/300 - 19*u**4\/120 - 11*u**3\/10 - 3451*u**2. Factor z(l).\nAnswer: -(l - 11)*(l - 3)*(l + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*n - 99*n**3 + 104*n**3 + 2*n + (-3*n + 6*n - 4*n)*(2*n**2 + 0 + 0).\nAnswer: 3*n**3 - n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w - 6*w - 18. Let j = 17 + w. Let s be 85\/20 + (-2)\/j. Sort -8, 0, s.\nAnswer: -8, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 e when two letters picked without replacement from qeq.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10049780 is divided by 151?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/5)\/((-26)\/260).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*v**2 - 492*v + 401*v - 1 - 1 as y*v**2 + a + h*v and give h.\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 3*m + 36 = -0*j, -j + 7 = 2*m. Suppose -y + 4*y = -4*x - j, -4*x = 20. Put y, -0.2, 0 in ascending order.\nAnswer: -0.2, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -47 + 46. Let h be (4\/(-3))\/((-24)\/(-468)) - p. Sort -1, h, 4 in decreasing order.\nAnswer: 4, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 777153?\nAnswer: 3, 13, 19927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**2 + 7*q + 42. Give j(10).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11493*1168.\nAnswer: 13423824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -3*w**3 - 2*w**2 + 2. Let r be g(-2). Let c be (r\/15)\/(-1)*-5. Suppose c*n - 28 = 2*n. Solve -z - n = -2 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(162) + sqrt(162)*-4 + sqrt(162) + sqrt(18) + -2*sqrt(1800))\/(1*(sqrt(96) - (sqrt(96) - 5*sqrt(96)))*-1).\nAnswer: 5*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 61 and 9?\nAnswer: 549","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -57 - -32?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + -1. Let n = -0.2 - -0.3. Let r = n - -0.2. Which is the third smallest value? (a) r (b) 1\/3 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02 times 5.296?\nAnswer: 0.10592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yl when two letters picked without replacement from lyl.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 - 1. Let b = j + 2. What is the third biggest value in 7, 0.2, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**2 - 376320656*d + 8851077258266896.\nAnswer: 4*(d - 47040082)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6\/7? (a) 4 (b) 3 (c) -27705 (d) -0.3 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 897?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 3*w**2 + w - 1. Let z(a) = a**2 + a - 1. Let v(t) = x(t) - z(t). Let d(i) be the second derivative of i**3 - 81*i. Give v(d(g)).\nAnswer: 72*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*g**3*u**4 - 6*g**3*u - g**3 - 10174*g**2*u**3 - 5*g*u - 73*g - 6*u wrt u.\nAnswer: -48*g**3*u**2 - 61044*g**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 2*z - 8 = 0. Suppose -z*i + 5289 = 1769. Round i to the nearest 100.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, t: 1, a: 3, h: 1, s: 12, v: 2}. Give prob of sequence hiha.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59664585.\nAnswer: 3, 5, 3977639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -168 - -95. Let g = -75.56 - v. What is g rounded to one dp?\nAnswer: -2.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2972*g**3 + 32*g**2 + 10 wrt g.\nAnswer: 17832","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 996 is divided by 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (390\/75)\/(1*(-1)\/10). Let f be (1014\/a)\/(3\/(-4)). Solve n + 21 = -p + 6*n, 2*n - f = -4*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*o**4 + 20*o**3 + 10*o**2 - 20*o - 15.\nAnswer: 5*(o - 1)*(o + 1)**2*(o + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 11*d**3 + 243*d**2 - 7. Let n(v) = 6*v**3 + 122*v**2 - 4. Calculate 7*n(p) - 4*t(p).\nAnswer: -2*p**3 - 118*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 - 1 = -5*d. Let l(x) = -2*x - 12. Let r be l(d). Suppose 0 = 4*v + b - 270, 0 = -r*v + 3*v + 3*b + 74. Is v a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -122312 - -3013210?\nAnswer: 2230232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -692189.78 less than -0.2?\nAnswer: 692189.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, 5, -7 in increasing order.\nAnswer: -7, -1\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k + 0*k + k)*(-3 - 5 + 1)*(9*k**2 + 15*k**2 - 6*k**2)*(2*k**2 + 1 - 1).\nAnswer: -252*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 10 - 15. Suppose -8 = -p + 5*d, 4*p - a*d - 9 = 23. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 28113?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*p = -23*p + 20 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -164*o = -1963 - 2465 for o.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-10)\/20)\/((-3)\/30). Let d be (-12)\/(-16)*(5 + -1). Suppose -d*f + 10 = 2*f. Solve f = -x*y + 17 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2101106*d**3*n + 16190971*d**3 + d**2*n + 14*d*n + 2*n with respect to n.\nAnswer: 2101106*d**3 + d**2 + 14*d + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -111.680864 to the nearest ten.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 38975*h*z**2 - 6*h*z - 18*h - 847*z**2 - 32958*z + 1 wrt z?\nAnswer: 77950*h - 1694","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -0.5 (b) -5 (c) -13 (d) -8\/9 (e) -3\/8 (f) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (20\/((-30)\/(-6)))\/(35 + -33). Solve 24 = 4*k + 2*s, -p*k + 8*s = 6*s for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -189*g + 4*q + 26 = -187*g, -2*g + 3*q + 21 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-897 - 364 + 283)*(2*x + 0*x + 0*x).\nAnswer: -1956*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 39, -3, -136, -5, -1060 in descending order.\nAnswer: 39, 3, -3, -5, -136, -1060","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -10?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1058 - -1060. Solve 5*d = -q, y*d = -5*q + d - 24 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t - 5*c - 33 - 4, 0 = 2*t - 5*c - 33. Let p be (-2)\/t*0\/(-1). Solve p = y + y + 2 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 5*f = 9. Let g be (-6)\/5 - (-7)\/35. Let k be (-2)\/((4 - 4) + f\/g). Is k <= 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -55 (b) 0.5 (c) 63\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 37 = -12*b + 13*b, 0 = -5*o + 2*b + 65 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 - 2) + -5*38 - 3. What is the units digit of 0 + d*(0 + 2)\/(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/2*5\/(-3). Let z(y) = 8*y**2 - 75*y - 411. Let l be z(-5). Let s be (-10)\/(-45) - l\/1260*5. What is the third smallest value in -1\/5, s, d?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 87\/2350 and -67\/128000?\nAnswer: 6016000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1030111 to the power of 1\/3, to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.062, -1, -24, 445?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -434750 + -735050. Round o to the nearest ten thousand.\nAnswer: -1170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 + 5. Let m = a + 3. Suppose 4*f - 12 = -5*g, -5*g - 3*f + 14 = -m*f. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 2*i**3\/19 + 146*i**2\/19 - 73116*i\/19 - 894960\/19 = 0.\nAnswer: -226, -12, 165","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 464190 by 46419.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*l + 176*l = -116*l - 10764 for l.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + t = 8, -3*t + 2*t = 1. Let u(x) = -5*x + k - 7 + 4*x + 0*x**2 - x + 2*x**2. Let n(w) = -3*w**2 + 0*w**2 + 2*w - 1 + 6. What is -4*n(d) - 5*u(d)?\nAnswer: 2*d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.054 - 0.044. Suppose -2*g + 1 = -3*g. Put -0.1, g, s in increasing order.\nAnswer: g, -0.1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.4 + -1.6. Let y = 0.1 + q. What is the smallest value in -3, -5, y?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**3 - 6*i**2 - 11*i + 6. Let a be f(7). Let t = a - -16. Is (116\/t)\/(3\/(-9)) 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 8537?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(sqrt(119)*3 - sqrt(119)) - -5*3*sqrt(119))\/(sqrt(112)\/sqrt(4) + (sqrt(294)\/sqrt(6))\/sqrt(7)))**2.\nAnswer: 10625\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12 - -35 - 16) + (-2 - 6) - -14?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + 33 = -3*j, -3*d - 197934 + 197957 = -j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3593 is divided by 909.\nAnswer: 866","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**2 + 8322*u + 2643984.\nAnswer: 3*(u + 366)*(u + 2408)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 3 = 2*h. Suppose -15 = -a - h*v, a = -3*v + 5*v + 10. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, -1.476, -38, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-1)\/4)\/(15\/(-120)). Solve -l = 4*s - 20, -3*l + 15 = s + b*s for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3968217*l**3*w**2 + 42520*l**3*w - 3*w**2 + 11*w wrt w?\nAnswer: 7936434*l**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 4, n: 2, k: 2, b: 3, c: 1}. Give prob of sequence bbin.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 777799 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -99*o + 63. Let d(k) = -294*k + 191. Let v(w) = 11*c(w) - 4*d(w). Find the first derivative of v(r) wrt r.\nAnswer: 87","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + -7 + (17 - 8).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qgobziz. What is prob of picking 1 q, 1 b, and 1 o?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 127*k**3 - 2132*k - 3 + 2133*k - 25*k**3.\nAnswer: 102*k**3 + k - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9959 - 598. Let x = -9361.05011 + r. Let f = -0.05 - x. What is f rounded to 5 decimal places?\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/352 and 3\/154?\nAnswer: 2464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l + 1. Let x(p) = -2*p**2 - 7*p - 14. Suppose -2*d = 2*i - 4, -12*d - i - 8 = -13*d. Calculate d*b(t) + x(t).\nAnswer: -2*t**2 - 2*t - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, u: 1, y: 3, z: 3, f: 3, v: 1}. Give prob of picking 1 z and 1 y.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - (-6 + (6 - 3)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.1 - 0.9. Suppose -6*l = -l - 25. Which is the nearest to 0.2? (a) f (b) -2 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 8 = -4*h, -m + 3*m - 10 = 5*h. Let f be 3 - 3\/3*-1. Suppose m = f*b - 13 - 7. Solve 0 = -v + b*y - 7, 5*v + 3*y + 0*y + 7 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 451033\/232 or 1943?\nAnswer: 451033\/232","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does -382 = -417?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*w**2 + 35*w**2 + 25*w**2.\nAnswer: 30*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/325 and (2\/5 - 754\/435)*7\/(-39).\nAnswer: 2925","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in eight fifteenths of a hour?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the second derivative of l**3\/2 + l**2 + 2*l. Let w be n(0). Suppose -2*d + 22 = -w. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3484255 and 2787404?\nAnswer: 13937020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and 106?\nAnswer: 530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1973 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -44682358 divided by -32402.\nAnswer: 1379","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 9 and -94.\nAnswer: -846","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve g**2\/3 - 8116460*g = 0 for g.\nAnswer: 0, 24349380","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 2 + (-3 - (2 + 0 + -8)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/((y*y**(-1\/3))\/y))**11*(y*y**(-2\/13))\/(y\/(y**4*y)))\/(y**(4\/3)\/(y**(-2)*y))**39 assuming y is positive.\nAnswer: y**(-2788\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i**2 + 0*i**2 - i**4)*(67*i - 44*i - 1 - 61*i).\nAnswer: 38*i**5 + i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**2. Let h be (-18)\/21*(-14)\/(-4). Let j(i) = i**3 - 4*i**2 - i. Calculate h*o(g) + j(g).\nAnswer: g**3 - g**2 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 115 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 73 + -70. Suppose -2*a + q + 301 = 0. List the prime factors of a.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j*j*j**(-1\/4)*j)*j)**(-22)*(j\/(((j**(-3)\/j)\/j)\/j))\/(j*(j\/j**2)\/j)*(j\/j**(1\/4))**(1\/4)*((j\/(j*j**(2\/7)*j))\/j)**7 assuming j is positive.\nAnswer: j**(139\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times 2.2?\nAnswer: -4.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 - 4. Suppose 0 = -3*q - 4*m + 19, 2*m + u = 10. Let g = 0.3 - 5.3. Which is the third biggest value? (a) q (b) -0.1 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -2\/72066715?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let w = -11 + 36. Suppose 4*z - w = -z. Let m = z - 0. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 88 + -87.99941. Round c to 4 dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w. Let o(i) = -8*i + 2. Let n(y) = -k(y) + o(y). Let d be (-5)\/(2\/4*-1). Let t be (-8)\/d*5\/(-2). Give n(t).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14.79 + 93.59. Round f to 0 dps.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/8380197 and 89\/532.\nAnswer: 33520788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 1 = -3*a + 5*j, -2*a - 4*j = 2. Suppose 0 = 2*v - 3*v + 3. Let i be 12\/10 - v\/3. Which is smaller: a or i?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 633816.\nAnswer: 2, 3, 8803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 6233457\nAnswer: 5\/6233457","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (8 - -3 - -2) + -3. Suppose 0 = -5*z - 5*y - f, z - 5*y + 0*y - 22 = 0. Suppose 2*u - 2*w = -3*u + 67, z*u - 46 = -4*w. Solve 2*j = -j - u for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -2*l**2 - 93649*l - 655452. Give k(-7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 33227 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 5*x**3 - 83*x**2 + 252*x + 265. What is i(12)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/(v*v*v**(-20)*v*v))**(-28))**(14\/13))**(-3\/5) assuming v is positive.\nAnswer: v**(19992\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 358*m**3 + m**2 + m + 1. Let c be w(-1). Let n = -248 - c. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(38) + (-1*sqrt(380))\/sqrt(10))\/sqrt(2) + 2 - ((3 + sqrt(19)*2)*-3 + -3))**2.\nAnswer: 168*sqrt(19) + 878","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -251217 (base 8) in base 10?\nAnswer: -86671","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -41 - -40. Let b(t) = -2*t. Let f(p) = -1. Let q(g) = 2*g - 10. Let h be q(7). Let d(n) = 5. Let l(x) = h*f(x) + d(x). Calculate r*l(y) + b(y).\nAnswer: -2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 854 divided by -4?\nAnswer: -427\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 466 + -464. Is h != 21\/20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -8*(-4)\/(-16)*-1. Let r be (-5 + -1 + 6)*q\/(-4). Solve r = 4*t - 2*v + 4, -t - 5 = v - 4 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 97*l**2\/2 + 47333*l\/2 - 732 = 0. What is l?\nAnswer: -488, 3\/97","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in six fifths of a centimeter?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) 0.02 (c) 0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 740*k**2 + 7*k + 3. Is i(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-13)\/26*8\/(-2). Factor 0 + 2\/11*v - 2\/11*v**3 - 2\/11*v**4 + 2\/11*v**a.\nAnswer: -2*v*(v - 1)*(v + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3455688 a multiple of 274?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 + o + o**2 - 5 - 3*o + (-o + 6*o - 3*o)*(-4*o + 3*o + 2*o))*(147 - 107 + 322) to u*o**2 + d + b*o and give b.\nAnswer: -724","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 12914127 rounded to the nearest 1000000?\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6855.7364 + 6855.13639982. Let i = 0.6 + f. What is i rounded to seven decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2039282\/56 - (34\/(-8) + 4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(-10)\/d*d*d)\/d*d\/(d*d*(d**(-2)*d)\/d*d*d)*(d**(-2\/7))**(-44))**20 assuming d is positive.\nAnswer: d**(360\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 93 + -1?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 221 - 221.02. Let b = 316 + -316.1. Sort 1.5, -0.3, b, x.\nAnswer: -0.3, b, x, 1.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 85\/(1870\/4356)*12\/(-66).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(-2) - 2250\/(-4). Let c = y - 172. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -39 - -45. What is the second derivative of 2*o**5 + 7*o**5 + o - p*o - o**5 wrt o?\nAnswer: 160*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8446 and 82.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 8 = v, 2*r = -4*v - 2 - 2. Suppose -r*d - 4*i + 3 = -31, 0 = -3*d - 5*i + 47. Let f be -1*((-15)\/d)\/5. What is the nearest to 1 in -0.1, 0.2, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 368 = 7*a - 3*a - 5*g, 5*a - 2*g - 443 = 0. Suppose a + 57 = 9*x. Suppose x*s - 246000 = 6*s. What is s rounded to the nearest 1000?\nAnswer: 25000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24 - 26199*i + 13102*i + 24 + 13112*i.\nAnswer: 15*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7285 and 1938045?\nAnswer: 60079395","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -19*k + 13*k + 80, b - 66 = -5*k. Let d(i) = i - 7. Determine d(k).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert b (base 13) to base 9.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1*-3*(-67)\/(-1). Let x be 78\/(-8*51\/272). Let h = x - m. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 163514688 is divided by 2068?\nAnswer: 2064","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (17599 - 17613) + (2 - ((-1 - -4) + 67)).\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/9*(15\/(-6))\/(28\/(-12))?\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, -1325, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*v + 252*v - 1179 = -9*v + 6907 for v.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 4*z = 48, 0*z - 5*z = 15. What is the units digit of (8\/i)\/(2\/(-3))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(1\/(2\/8))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 26671*r + 133346. Determine m(-5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 266*h + 16*h**2 - 90*h**5 - 16*h**2 + 272*h - 2*h**4 + 336*h wrt h.\nAnswer: -1800*h**3 - 24*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -206 and 10?\nAnswer: -2060","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5.6 + -5. Let k = d - -2.4. Let g = 2.22 - 0.22. Which is the closest to k? (a) -2 (b) g (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 6138?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*p**3*q**5 - 52*p**3*q**2 - 24*p**3*q + 22*p*q wrt q?\nAnswer: 40*p**3*q**3 - 104*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 3 v when four letters picked without replacement from {i: 1, v: 7, l: 6}.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0\/((1\/(-2))\/((-23)\/(-184))). Suppose -14*d + p*d = -3752. Does 32 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -30, -25, -22, -21, -22, -25, -30?\n\"Answer: -v**2 + 8*v - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15\/28 or -373?\nAnswer: -373","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.8 + 3.9. Let m = -1.6 + 7.6. Let c = m - d. What is the third smallest value in -0.1, 4, c?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes before 12:51 AM?\nAnswer: 1:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i - 857 - 247. What is the tens digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 101709\/14 + -7257. Let h(f) = -5*f - 2. Let k be h(-4). Calculate the common denominator of 4\/k - (-1574)\/288 and o.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 6263, 12779, 19295, 25811, 32327?\n\"Answer: 6516*a - 253","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 138 + -930. Let r be (b\/154)\/(15\/(-28)). Solve -24\/5*u**3 + 96\/5*u - 12\/5 + r*u**4 - 189\/5*u**2 = 0 for u.\nAnswer: -2, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1634508 divided by 12\nAnswer: 136209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-308)\/(-231))\/(12\/135).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 12\/25, 0.1, 1\/28, 79 in decreasing order.\nAnswer: 79, 12\/25, 0.1, 1\/28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 50484, 50559, 50634?\nAnswer: 50709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -278*j**2 - 32*j**2 - 41*j**2.\nAnswer: -351*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.065 - -0.94. Let d = 101.875 - x. Let q = 102.0136 - d. Round q to 3 decimal places.\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75363*g + 1518 = 75297*g for g.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, g: 2, c: 2, n: 4, r: 4}. What is prob of sequence nc?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1117816, 2235638, 3353460, 4471282, 5589104?\n\"Answer: 1117822*f - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 78 + -44. Calculate the remainder when 65 is divided by (z\/(-4)*1)\/((-1)\/2).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/18 + 6302\/414. Suppose 0 = r*k - 29 - 1. Let v(s) = s**3 - 2*s**2 + 4*s - 3. Calculate the smallest common multiple of k and v(2).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 189*t**2 - 189*t**2 + 4*t**5 - 7*t**3 - 2*t**5 + 0*t**2 + 0*t**2 + (-2 + 2 + 3*t**2)*(3 + 3*t**3 - 3) + 8*t**3 - 8*t**3 + 7*t**5.\nAnswer: 18*t**5 - 7*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 81 + -86. Let o be (-3)\/15 - (-93)\/15. Suppose -i = -5*w - 23, 28 = -o*i + 2*i - 4*w. Sort 1\/6, a, i in increasing order.\nAnswer: a, i, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1976 - 1905. Solve 5 = 22*d + z for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 150*(-40)\/(-165000)*75.\nAnswer: 30\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 divided by 200322?\nAnswer: 17\/200322","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 64, 65, 66?\n\"Answer: u + 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 3*y - 1. Let r be w(1). Let m(o) = -2*o**2 - 4*o**r - 3*o**2 + 6*o**2. Let z(f) = 5*f**2 - 10*f**2 + 4*f**2. Determine m(z(l)).\nAnswer: -3*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l - 340 - 950. Let b = l + 365. Is 6 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 31 = 3*x + 2*x, m + 2*x - 14 = 0. What is the greatest common divisor of 144 and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 11\/2 (b) 1 (c) -2\/5 (d) -2 (e) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1945 - 6670 - 6114 - 3052)*(3 - 3 + b).\nAnswer: -13891*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/3 (b) 2 (c) -15 (d) 661 (e) -1\/6 (f) 8 (g) -12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4696 - 4657. Solve -4*w - m*w = -387 for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 103*n - 107*n - 5*q = -587, 2*n + q = 295. Solve 0 = 161*z - n*z - 39 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 3 = w. Let z(h) = -h**3 + 6*h - 2. Let b be z(-5). Let v = b + -741\/8. What is the closest to w in v, 2, 0.5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the first derivative of -4*d**3\/3 + 31*d**2\/2 - 4*d - 1026. What is m(7)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-3)\/139)\/(-3)*3. Let t = -943\/1390 - b. Find the common denominator of -4 + (-156)\/(-40) + -4 and t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**2 - 4*i - 1. Let w be g(-3). Suppose -33 = w*l - 3*l. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61\/4 of a century in months?\nAnswer: 18300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18740?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -1\/7, 681, 4\/7, -2?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -37595*h**4 + 45762 wrt h?\nAnswer: -150380*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ad when two letters picked without replacement from {f: 3, a: 2, c: 3, d: 5, h: 5}?\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 29*w. Let f(b) = 175*b. Determine -4*f(h) + 25*k(h).\nAnswer: 25*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qvlqlvvqemmveqme. What is prob of sequence em?\nAnswer: 3\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * -3.245.\nAnswer: 12.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g + 2. What is x(-4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate n*o**2*q**2 + 2*n*o**2*q + 11*n*q**2 + o**2 + 6550*o*q**2 with respect to n.\nAnswer: o**2*q**2 + 2*o**2*q + 11*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1617379 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 123 - 121. Suppose 4*n = -3*u + 161, 0 = -n + t*u - 4 + 36. Calculate the remainder when n is divided by 9.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 (base 2) in base 16?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -18 + 11. Let u(k) = -k**2 - 7*k - 4. Let a be u(y). Let q be (-6)\/a*14\/21. Solve -2*l = q - 3 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yygyyoobbyggy. What is prob of sequence goyg?\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -4*((-105)\/(-140) + 1\/(-1)). Solve -k + 29 = 7*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(102)\/(-3*sqrt(6)) - (sqrt(272) - sqrt(272)*3))**2 + (sqrt(153) - (1 + sqrt(153)))**2*2 + (sqrt(153) + -3*(sqrt(153) + 0 + sqrt(153)))**2.\nAnswer: 43436\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 5 - 24 - 2*c + 41. Let w be b(1). Let q be (-4)\/10 + (-306)\/(-15). Calculate the greatest common divisor of q and w.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 195957?\nAnswer: 3, 21773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 5*x**2 - 2*x + 2. Let p be a(1). Suppose 4*q + 4*s - 24 = 0, p*q = -0*q - 4*s + 28. Suppose -q - 6 = -2*b, 4*k = 4*b + 16. Is k a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -40, 159, 378, 623, 900, 1215, 1574?\n\"Answer: k**3 + 4*k**2 + 180*k - 225","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 m when two letters picked without replacement from {m: 11, t: 2}?\nAnswer: 11\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -12*u**2*x + 13252*u**2 + 350*x**2 with respect to x.\nAnswer: -12*u**2 + 700*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**3 - 2*h**2 + 2*h - 2. Let a be z(2). Suppose 0*r + 102 = -a*r. Let l = r + 87. Calculate the greatest common factor of l and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -631529, -631526, -631521, -631514, -631505, -631494, -631481?\nAnswer: -631466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (16\/192)\/(31\/(-124))*-4\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -74*h**4 - 6248*h**3 - 106014*h**2 + 1097560*h - 2010200 = 0.\nAnswer: -46, 95\/37, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14 - -40) + 3 + -4?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times -2.43\nAnswer: -0.729","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -7*b**2 + 3*b - 18. Let x(n) = 40*n**2 - 17*n + 109. Calculate 34*s(p) + 6*x(p).\nAnswer: 2*p**2 + 42","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18539944 is divided by 403042?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -65 - -50. Is (-18429)\/u - (-1)\/((-15)\/(-6)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l + 15, -f + 4 + 14 = -3*l. Suppose -f*z - 3 + 30 = 0. Is 2\/(-3) - (-141)\/z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -286659.76 to the nearest ten thousand.\nAnswer: -290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 + -1. Suppose -v*s - 2*s = -95. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**3 - 29*g**2 + 3*g - 64. Calculate k(29).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 3, -1\/2, -2 in increasing order.\nAnswer: -2, -1\/2, -0.2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -5*h - 3. Let j be (-5)\/1 - -2 - 1. Give n(j).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -139, 3\/4, -4\/9?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1128 and 216112956.\nAnswer: 564","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -464876*p**3 + 11*p**2 + 16*p + 47 wrt p.\nAnswer: -2789256","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the second derivative of s**3\/6 - 2*s**2 - s. Let y be h(2). Let c be y + (-2)\/1 + 8. Solve -2*n - 2*n - 16 = -c*a, n = -a + 2 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*a - 48*a = 516. What is the common denominator of 47\/6 and (-4)\/(-10)*a\/16?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 24*n**3 + 5*n**2 - 5*n + 16. Let m(y) = -26*y**3 - 6*y**2 + 6*y - 16. Give 6*b(f) + 5*m(f).\nAnswer: 14*f**3 + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32871798 is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1932923 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 19*g**2 - 3*g. Let n be o(5). Suppose -3*f = 151 - n. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/21 in -29, 44, 11, -1\/7, -2\/9?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:49 AM and 9:33 AM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 + 9. What is the smallest common multiple of 4 and d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 14? (a) -5\/3 (b) 6\/7 (c) 40\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(17) - sqrt(68)) - (sqrt(34)\/(sqrt(4)\/sqrt(2)) - sqrt(17))) + (sqrt(1700)*-1 - sqrt(1700))**2 + ((sqrt(170) + -2*sqrt(170))\/sqrt(10))**2.\nAnswer: -5*sqrt(17) + 6817","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 29 + -17. Calculate the smallest common multiple of 24\/10*40\/a and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence arra when four letters picked without replacement from raaara?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 26883?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -1561001.\nAnswer: 5\/1561001","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -16\/35 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -11.694 (b) 3 (c) -0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -7*x**2 - 5. Let f(l) be the third derivative of l**5\/60 + l**3\/6 - l**2. Let z = -9 - -14. What is z*f(s) + v(s)?\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -225843, -225544, -225251, -224964, -224683?\n\"Answer: -3*g**2 + 308*g - 226148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*a + 2*a - 3*a**2 + (a - 6 + 6)*(0 + 4*a + 0) in the form u*a**2 + c + x*a and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 65194497383 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.02 - 13.02. Let l = -9457108.0000005 - -9457095. Let f = l - q. Round f to six dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1179948 and 1966580.\nAnswer: 5899740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 195473, 782928, 1762019, 3132746, 4895109, 7049108, 9594743?\nAnswer: 12532014","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -2*h. Let f(y) = 1599*y**2. Give w(f(z)).\nAnswer: -3198*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 78633 - -2?\nAnswer: 78635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 8 - 3)*(1 - s - 1)*(0*s**2 + 0*s**2 - s**3).\nAnswer: -13*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 + -51?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(1*3*sqrt(152) + sqrt(152)))\/((sqrt(18) + sqrt(162) + sqrt(18) + sqrt(18) + sqrt(18))*3*-5).\nAnswer: -16*sqrt(19)\/315","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 44 (b) 25 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -815820, -1631613, -2447408, -3263205?\nAnswer: -4079004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 2, 1\/6, -1.7, -0.1066, 4?\nAnswer: -0.1066","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**3 + 2*j**2 - 3. Let g be t(-5). Suppose 15*q - 11*q = g. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1351)\/(-772) + (-12148)\/560 + 20\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 599724128?\nAnswer: 2, 557, 33647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44981750?\nAnswer: 2, 5, 11, 1487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 121*r. Let a(z) = -z**2 + 116*z. Calculate a(y(x)).\nAnswer: -14641*x**2 + 14036*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3401 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -1316560 to the nearest 10000.\nAnswer: -1320000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -270 = -2*w + 3*p, -2*w = -2*p - 106 - 162. What are the prime factors of w?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2 - 12)*70\/25. Let f = 31 + x. Solve -7*w - 4 = -f*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84 + 210\/15 - 5 is divided by 32?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i + 4*i + 0*i)*(1 - 1 + 1)*(7*i**4 - 2*i**4 + i**4) - 4*i**5 + 3*i**5 - i**5.\nAnswer: 16*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/6*2 + 76. Calculate the greatest common divisor of a and 105.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 94169870?\nAnswer: 2, 5, 53, 177679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 2282*r**2. Let p(q) = -433*q**2. Calculate i(p(j)).\nAnswer: 427849898*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes after 10:49 AM?\nAnswer: 3:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.9 * 0.02.\nAnswer: 0.018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2099397 is divided by 129.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 2*s = 5*a - 11, -3*s + 17 = 2*a. Suppose 0 = -0*l + 4*l - 20. Suppose 5*u = -5*f - l, -5*u = -4*u + 5. Put 0, a, f in increasing order.\nAnswer: 0, a, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/4 + 7\/(196\/(-105)). Let f be 22\/4 + -5 + (-2686)\/i. Is (-5 - -4)\/(2\/6) + f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**3 - 22*k**2 + 17*k - 14. Let r be -3*22\/(-15) - 2\/5. Suppose 0 = 3*z - 3*c + 84, -45 = r*z - 3*c + 62. What is the hundreds digit of y(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 457 by 1682.\nAnswer: 457\/1682","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*v + 13*v + 2*q - 24, -22 = -2*v - 2*q for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 158\/675895?\nAnswer: 158\/675895","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-190)\/(-57)*6\/(-8)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 4 = p, -2*b = -2 - 4. Let z(f) = f**3 + 4*f**2 + 2*f + 4. Let l be z(-3). Suppose 1 - l = 2*q. Sort p, q, 5.\nAnswer: p, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**2 - 48*j - 396. Calculate l(-37).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 j when two letters picked without replacement from vcjvjfbvvjvv?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 54 - 34. Suppose h = 5*z - 0*z - 5*p, p + 7 = 4*z. Let n = -1 - -1. Sort 1\/4, z, n in ascending order.\nAnswer: n, 1\/4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yzzzybyy. What is prob of picking 1 y, 1 b, and 1 z?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -117*19\/228*(-216)\/(-567).\nAnswer: -26\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 1224*d**2. Let g(r) = -27*r. Give g(c(h)).\nAnswer: -33048*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/52)\/((-1)\/((-6)\/3))?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-98)\/(-21))\/((-44)\/66)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 20830192 to the power of 1\/6, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1493636, -8, 2\/23 in increasing order.\nAnswer: -8, 2\/23, 1493636","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 3*k = 208002. Let v be (k - 1)*1 + -1. Suppose -7*b = -3*b + v. Round b to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -24*s**5 + 144*s**4 - 12*s**2 + 1053456*s wrt s?\nAnswer: -480*s**3 + 1728*s**2 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:03 AM and 12:30 PM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = h - 1, -3*h = -0*h - 5*z - 20. Let n = h - 3. Let l be ((-1)\/25)\/(88\/20 + -4). Which is the second smallest value? (a) -0.5 (b) l (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4195 + -1?\nAnswer: 4194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*f + 104 = 2*b, f + 347*b + 349*b - 705*b + 66 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1\/46)\/(4\/(-16)). Let g be (-26)\/(-520)*(34\/4 + -1). Sort c, g, 5, -2\/9 in descending order.\nAnswer: 5, g, c, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - o = 5*w + 132, -5*w = 20. Let t(f) = 4*f**2 - 2*f. Let i be t(-2). What are the prime factors of o\/10*i\/8?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12016159 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j - 5*j + j)*(-1551 + 960 - 3923 - 66 - 2252).\nAnswer: 13664*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -849526, -849524, -849522?\n\"Answer: 2*r - 849528","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 22788 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, h: 2, e: 2, i: 1, j: 1, q: 4}. What is prob of picking 1 e, 1 l, and 1 h?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q + 3. Let r be d(-3). Suppose -3*j + 83 + 55 = r. Is j a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2268.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 32288501 by 87031.\nAnswer: 371","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -da12 + 8c?\nAnswer: -d964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 53 or 54?\nAnswer: 54","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - (-3 - -7))*(-2)\/85?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -279 (b) -2\/9 (c) 5\/16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3 - -1 - -1232)*2\/6. Let j = 414 - t. Is 25\/17 != j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*y - 96 = -17*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h + p - 61, 0 = -p - 2*p + 15. Let y be 2 + 0 + 34 + -4. Let x = y - h. What is the second smallest value in -5, 1, x?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -3*b**2 + 2*b - 2. Let u(n) = -7*n**2 + 5*n - 4. Let f(v) = 5*a(v) - 2*u(v). What is the first derivative of f(l) wrt l?\nAnswer: -2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 190*b**4*m + 4*b**4 + 4*b**3*m + 180*b*m - b + 3*m wrt b?\nAnswer: 2280*b**2*m + 48*b**2 + 24*b*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 569346.\nAnswer: 2, 3, 31, 3061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 277029 to the nearest integer?\nAnswer: 526","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(114) - -3*(1*sqrt(114) - sqrt(114)))*4)\/(-2*sqrt(294) + -6*sqrt(18)\/sqrt(3)))**2.\nAnswer: 19\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 n when two letters picked without replacement from aahahndnnnndannhfh?\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of -13 + 29\/(58\/692)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7508 divided by 3.\nAnswer: -7508\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven quarters of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 5 times 98\nAnswer: 490","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-5))\/((-3444)\/3690)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -38*x - 12. Let j(f) = -f. Determine h(j(z)).\nAnswer: 38*z - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -61 + 60.9999945. Round g to six decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q - 1. Let k be m(2). Let o be (5\/(-15))\/(1\/k). Solve -2 = -v - o for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 111332000 + -112033?\nAnswer: 111213301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the first derivative of 78*t + 0*t**2 + 25 + 1\/5*t**5 + 0*t**4 - 16*t**3. Differentiate x(u) wrt u.\nAnswer: 4*u**3 - 96*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: -355235761 divided by 644711\nAnswer: -551","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jgvg when four letters picked without replacement from {v: 1, g: 2, n: 1, j: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000253239 to seven dps.\nAnswer: -0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1388?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 29 and 14?\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 5*s - x - 5, x = -2*s + 15. Suppose 4*p - 19 = -3*c, 4*c - 3 = 1. Find the third derivative of 4*z**p - 4*z**4 - 2*z**s - 2*z**2 wrt z.\nAnswer: -120*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/((-3)\/66)*27*42\/(-2079).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*y = 8*y - 56 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*g**3 + 986*g + 15606 with respect to g.\nAnswer: -6*g**2 + 986","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*w**2 + 15*w**2 + 4 + 16*w**2 + w - 34*w**2 as p*w**2 + f*w + z and give p.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 13\/319629?\nAnswer: 13\/319629","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:05 AM and 1:00 PM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -48908 - 3.\nAnswer: -48911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3744\/203 - 539\/29. Let i = 1.3 + -1.3. Sort i, -1\/303, k in decreasing order.\nAnswer: i, -1\/303, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*(g**(-2\/9)\/g)\/g)**35)**(-3\/19))**35 assuming g is positive.\nAnswer: g**(13475\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000008099458136 rounded to 7 decimal places?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.52863868 to zero decimal places.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12, 17, 22?\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s. Let h(a) = 22*a**2 - 5. Let u(d) = 14*d**2 - 3*d**2 + 2 + 0 - 4. Let x(q) = 2*h(q) - 5*u(q). What is p(x(j))?\nAnswer: -11*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.9833313 millennia?\nAnswer: 11799.9756","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11, 73, 175, 317, 499, 721, 983?\nAnswer: 1285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-393)\/(-30) - (-54)\/(-540). Let u(s) = 3*s + 26 + 2*s**3 + 8*s - 14*s**2 - s**3. Let x be u(g). Solve x = 2*l + 1 + 9 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1753105 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*s = -4*f - 24, 25240*f - 6 = 25241*f - s for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1651765 divided by -1651765?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 120 - 116. Suppose -76 = -5*h + 3*v, -4*h - g*v + 1 = -79. Solve -4*c + 3 = 4*y - h, 5*y - 25 = -3*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -2*w**3 + 2*w**2 + 5*w - 1. Suppose 2*v - 5 = -13. Let n be g(v). Let f = n + -40. Calculate the greatest common factor of f and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -11 + 11 - 2 + r + 2*r**2 as n*r + m*r**2 + t and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 81*a**3 + 5*a**2 - 11*a + 11. Let z(h) = -16*h**3 - h**2 + 2*h - 2. Calculate 4*b(y) + 22*z(y).\nAnswer: -28*y**3 - 2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(1\/19)\/(c\/c**(2\/9)*c))**31 assuming c is positive.\nAnswer: c**(-9145\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 150 + -98 + (-66 - 2).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12 - -12.2. Suppose -37*b - 27 - 10 = 0. What is the smallest value in -21, f, b?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.144 + -2.856. Let f = 0 - 0. What is the biggest value in 3, y, f?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the first derivative of -2*w**2 - 2*w - 6. Let l be r(-3). Suppose -8 = -3*v + l. What is the smallest common multiple of v and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l - 3*v - 308, -144*v = -145*v + 4. What is the highest common factor of l and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 144296 and 34136.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -232 = 5*g - 8*o, -5*o + 199 - 17 = 37 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3566 + 3565. Let f = -5\/4 + 41\/20. Which is the closest to m? (a) f (b) 1 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3 + (-72)\/1)*8\/468. Let m = p - -131\/78. What is x in -x + m*x**2 - 3\/2 = 0?\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, n: 1, h: 1, v: 3}. What is prob of sequence vn?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -40960 + 40960. Let m(k) = -3*k - 3. Let n be m(-4). Solve c = -5*p - 11 - n for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**21\/(h\/(h*h*h**18))*h**(-15)*h**(6\/11))**(-15\/7) assuming h is positive.\nAnswer: h**(-4215\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -s + 7 - 0, -5*l = -5*s + 20. Let b be s - (4 - 1 - 2). Let t(w) = -b - 2 - 3 - 2*w + 1. Give t(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -6.499, 1\/11, -0.5, 93?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -254*y + 2027. Let a be n(8). Let j(m) = -9*m - 4. Let z(p) = -5*p - 2. Let s be (-4 + 0)\/((-4)\/3). Calculate a*z(k) + s*j(k).\nAnswer: -2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 11246777611 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4357005613 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 2 = 2. Solve -x*s = -z - 11, 5*z + 2*s + 19 = 4*s for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -36 - -39 - (-2 + 2 - 1). Suppose 2*i = c*n - 4, 4*n + 4*i - 2 = 5*i. Are 14\/25 and n equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.151 + -16.749. Let z = q + 16.8933. What is z rounded to three decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55102843 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0687*-1.3.\nAnswer: -0.08931","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*l + 3*s + 8 = 22*l - 7, -6*l - 46 = -2*s for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**2 + 682*k - 70364. Give y(129).\nAnswer: 973","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (q**2 + 2*q**2 - q**2)*(-2*q + 2*q**2 + 2*q) - 2*q**4 + 5*q**4 + 28*q**4 as x*q**3 + v*q**2 + n*q + o*q**4 + a and give o.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Do -15 and -16 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**2 - 606*k.\nAnswer: k*(k - 606)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 + 10. Sort -2, a, 2 in decreasing order.\nAnswer: a, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14497524.\nAnswer: 2, 3, 283, 1423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*j**2 + 5*j - j**2 - 25*j to u + p*j + a*j**2 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 58338*u**2*w - 2*u*w + 1810*u - 10 wrt u.\nAnswer: 116676*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-783)\/108)\/(1 + 10\/(-8)). Which is bigger: i or -3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3381975?\nAnswer: 3, 5, 15031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - 10 = 3*w, -2*i - 19 = 4*w - 15 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 2*i**2 + 100*i + 1008 = 0.\nAnswer: -36, -14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 426 divide 541931741?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -9 - 6. Find the first derivative of 318*m**4 - 165*m**4 + 11 + i wrt m.\nAnswer: 612*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 3*y**2 + 4*y - 8. Let p be n(2). Suppose 0 = p*r + 2513 - 7181. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 2*v - 4*f, 3*f + 25 = -25*v + 23*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4000, -48.\nAnswer: -4000, -48, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 199148513 and 227907?\nAnswer: 8441","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-100)\/5)\/(4 - 3))\/(-1).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000919408 rounded to 6 dps?\nAnswer: 0.000919","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:07 AM and 1:07 PM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 26 - 30?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 + 74 = 11*f for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a - 9, -2*y + 2*a + 206 = -2*a. Let x be (-6)\/(-10) + y\/5. Solve -5*h - 5*o = x, 0*h + 3*h + 4 = -o for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p - 2*p**2 + 0*p)*(-4*p**3 - 10*p**3 + 1 + 20*p**3).\nAnswer: -12*p**5 - 2*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 6257?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x - 12 - 9. What is the lowest common multiple of 23 and x?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/51915 and -32\/1011.\nAnswer: 17495355","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -5*f + 32. Give g(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8 - 811*v + 418*v + 2 + 403*v - 1928*v**4 wrt v.\nAnswer: -23136*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*a + 0*a + 2*a + (5 - 1 - 3)*(a + a + a) - 8*a + 36*a + 13*a + 20*a - 5*a + 3*a + 4*a.\nAnswer: 65*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 80141451 a multiple of 4033?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -71, 0.4 in decreasing order.\nAnswer: 0.4, 0.2, -71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -0*m - 79. Let z = m - 26. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 7*k**2 - 5*k - 31. Is g(-13) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1604?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 148.85 * -0.2.\nAnswer: -29.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the second derivative of 49*z**5\/5 + 4823*z**4\/3 - 5536*z**3\/3 + 792*z**2 - 10*z - 35. Determine x, given that p(x) = 0.\nAnswer: -99, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5 or -0.057?\nAnswer: -0.057","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1353 = -2*k + 733. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.2 (b) 4 (c) -158\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**2 + 10*r + 14. Let u be f(10). Let a = -10 + u. What is the third derivative of 13*c**2 - 14*c**2 - 3*c**4 + 5*c**a wrt c?\nAnswer: 48*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * -2.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in twenty-seven halves of a millennium?\nAnswer: 1350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 - -7. Let q be 14*o\/8*3. Find the second derivative of 21*k**4 - q*k**4 - 6*k - 2*k**5 wrt k.\nAnswer: -40*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -307321956 - -0.4.\nAnswer: -307321955.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -i + 4*z + 36, i - 36 = 5*z. Let k = i - 30. Suppose -2*x - 3*s = 1, 0 = -4*x + k*s - s + 31. Solve -x*m - 3 = 5 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h = 4*s - 18, -4*h = 5*s - 4*s + 27 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 11 + 9 = 4*w, 0 = -2*h - 3*w - 1 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 276 is divided by 95?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 2*p = 5*p - 47, -5*u + 52 = -2*p. Suppose -753 = -u*o + 2227. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24)\/(-44) + 310\/(-165) - (-398)\/294?\nAnswer: 1\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 2 p when four letters picked without replacement from {p: 12, c: 6}?\nAnswer: 11\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 7e0b3d (base 15) in base 14?\nAnswer: b2c576","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 3*v**5 - 63*v**4 - 81*v**3 + 339*v**2 - 198*v = 0.\nAnswer: -3, 0, 1, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, 3\/5, 31, 0.4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 965297.\nAnswer: 443, 2179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 47*y - 66 - 122. Solve 9 = y*l - 3 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 68574 divided by -34287.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 835988 - 4179903\/5. Suppose -n*g + 1369\/10 + 1\/10*g**2 = 0. What is g?\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8860?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the second derivative of -v**3\/3 - 22*v. Let i(q) = -13*q + 4. Give i(x(b)).\nAnswer: 26*b + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o + 4*o - 231. Let k = o + -27. Let b(f) = -f**3 - 4*f**2 + 9*f + 5. Calculate the remainder when b(-6) is divided by k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-8)*m**(-37))\/((m\/((m\/m**(-1\/3))\/m*m)*m)\/m*m**(-36)\/m*m) assuming m is positive.\nAnswer: m**(-26\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.029 - 63525.18.\nAnswer: -63525.151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 279993 and 300888?\nAnswer: 20159496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 78 and 30.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60\/(-18)*(8\/(-144))\/(5\/15).\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-62)\/(-6))\/(-4 - (-219)\/54). Suppose 3*z = -5*s + t, s = 4*z - 3*s - 280. Calculate the remainder when z is divided by 19.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**0)**43\/((g**(-1)*g)\/(g*g*g\/((g*g**(1\/8)*g)\/g))) assuming g is positive.\nAnswer: g**(15\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -18c213 + -4?\nAnswer: -18c217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 19 and 390545.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -96 - -189. Does 31 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -2\/38462489?\nAnswer: -2\/38462489","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3765\/26 + -269\/13. Let l = d + 162. Let w = -1765\/2 - -833. Find the common denominator of w and l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 73 + -61. Let b(s) = s**3 - 14*s**2 + 28*s + 15. What is the tens digit of b(v)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11799 and 91333.\nAnswer: 437","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -2*o**3 + 7*o**2 - 5*o + 3. Let i(y) = 2*y**3 - 6*y**2 + 4*y - 2. Let z be 1\/(3 + (-16)\/6). Let s(t) = z*i(t) + 2*p(t). Let s(u) = 0. What is u?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-25 + 11 - (4 + -11 - 1)) + -1 - 1.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/24 and 101\/23160.\nAnswer: 23160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, i: 2, b: 1, n: 4}. What is prob of sequence bii?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2369 - -2417. Let y(b) = b**2 - 4*b - 4. What is the remainder when o is divided by y(-3)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**3 + 8*p**2 + p - 10. Let q be m(8). Let l be q + 3 + 2 + -2. What is the derivative of 2 + 2 - l + 4*g**2 wrt g?\nAnswer: 8*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -5*f - 4*c, 5*f - 17 = 5*c - 57. Suppose 5*h - 15 + 5 = 0. Sort f, 1, h.\nAnswer: f, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5257 divided by -751\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, -40, 28, -4020, 4 in decreasing order.\nAnswer: 28, 4, -3, -4, -40, -4020","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5665360 and 2944?\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9? (a) -5 (b) 2\/9 (c) -4 (d) -81\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 90800000 to the nearest 1000000.\nAnswer: 91000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-55)\/231 - (-12)\/140*-5.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15 + -25. Let g = -5 - w. Suppose -5*h + g = -0*h. Sort 3, h, 4 in increasing order.\nAnswer: h, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h + 5*w - 37, -3*h + 5*w = -30 - 21. Calculate the highest common divisor of 2 and h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 133 and 1216?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*l - 1 + 25. Let q = 16 + -11. Suppose 0 = 5*b + 4*t + 5, -l*b - t - q = -2. Is -3\/44 >= b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 96*s**4 + 17*s**3*t - 6*s*t + 42938*t with respect to s.\nAnswer: 384*s**3 + 51*s**2*t - 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00234202439 rounded to 3 decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in nine tenths of a kilogram?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/64 and -11\/64.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 0*k = -30. What is the remainder when 15 is divided by k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -39 - -40. Which is the nearest to 2? (a) r (b) -1\/7 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 69, 41, 3, -51, -127, -231?\n\"Answer: -g**3 + g**2 - 24*g + 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -207540000 rounded to the nearest 1000000?\nAnswer: -208000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 + -16. Let l be r*2*(-1)\/10. Factor 8\/5*z - 2\/5*z**2 - l.\nAnswer: -2*(z - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the first derivative of -x**7\/210 - 19*x**6\/90 - 7*x**5\/6 - 17*x**4\/6 + 58*x**3\/3 - 108. Let h(l) be the third derivative of k(l). Factor h(r).\nAnswer: -4*(r + 1)**2*(r + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -4\/149?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes after 4:14 PM?\nAnswer: 7:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 67158.28 tonnes in micrograms?\nAnswer: 67158280000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11, -32, -59, -92?\nAnswer: -131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 119 divided by -57330\nAnswer: -17\/8190","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -4003, -3828, -3423, -2680, -1491, 252, 2657, 5832?\n\"Answer: 18*y**3 + 7*y**2 + 28*y - 4056","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -32312*c + 12924795. Determine h(400).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -77681, -155404, -233127, -310850, -388573, -466296?\nAnswer: -544019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/13 in 268, 2, -0.8?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17777508 is divided by 145.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -2*z - 30, 4 = -4*b - 2*z + 10. Calculate the remainder when 13 is divided by b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.14331664 to five dps.\nAnswer: 0.14332","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 6) in base 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 824?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*m = -11*m + 4. Let a(y) = -6 - 247*y**3 + 5*y**m - 251*y**3 + 497*y**3. Give a(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 93 = 3*f, -2*d + f = 3*f - 206. Find the first derivative of -4*w**3 - 96*w**2 - 25 + d*w**2 - 150 wrt w.\nAnswer: -12*w**2 + 24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**1)\/h*h**2)\/(h**(-2\/3)\/h**(-1\/4)) assuming h is positive.\nAnswer: h**(41\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 11265, 11272, 11283, 11298, 11317, 11340?\n\"Answer: 2*j**2 + j + 11262","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 76 + -83. Let u(z) = -z**2 - 8*z + 5. Let w be u(a). Suppose -w = -4*r + 4*y, -2*r - y + 7 = -r. Solve -4*k = k + 5*h, 4*k - r*h + 27 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (62 - (32 - 5 - -3)) + (0 - -6).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 212713 and 74?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.4, 60.245, 1\/2, -948?\nAnswer: 60.245","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 60 = -4*h, 12*h - 16*h = 8. What is the remainder when 170 is divided by x?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.03, 71\/35, -81, -0.2, -0.1?\nAnswer: 71\/35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5823.\nAnswer: 3, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.3431296 + 0.343. Round a to five dps.\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**3 + 51*f**2 - 144*f + 54. What is the remainder when 473 is divided by y(48)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*h**3*o**2 - 1929*h**3*q - 71*h**2*o**2 + 15*h*o**2*q - h*o**2 wrt h.\nAnswer: -12*o**2 - 11574*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**3 + 8*j**2 + 3. Let f(s) = -s + 1. Let h = 10 - -22. Suppose -2*v - 3 = 4*n + 15, -4*v - 4*n - h = 0. Let i be f(v). Determine m(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.4 + -2.6. Let h = 25 + -26. Let w = 13 - 10. Which is the second biggest value? (a) w (b) k (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -531391?\nAnswer: -4\/531391","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 5)*((c**2 + 0*c**2 + 0*c**2)*(-96*c - 26*c + 15*c) - 2*c**3 + 3*c**3 + 2*c**3).\nAnswer: -208*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 7*o**3 - 8*o**2 + 8*o - 14. Let y(p) = -2*p**3 + 3*p**2 - 3*p + 5. Calculate 3*g(v) + 8*y(v).\nAnswer: 5*v**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 37, 42, 49, 58, 69, 82, 97?\nAnswer: 114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 2*o - 6. Let c be v(2). Let a be ((-4)\/(-10) - 0)*-5. Is c < a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 390, 342, 260, 144?\n\"Answer: -17*v**2 + 3*v + 404","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (232\/(-6))\/((-28452)\/21339)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 308 = o, -326*o + 321*o + 2*f + 1432 = 0. What is the least common multiple of o and 519?\nAnswer: 49824","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 0 + 12 = 3*p, c + 20 = 5*p. Suppose -p + 39 = 5*u. Solve -h + 2*h = j + u, 3*j = -4*h + 14 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -24855*c**3 - 49810*c**2 - 25055*c - 100.\nAnswer: -5*(c + 1)**2*(4971*c + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.013 + 0.013. Let f = 3.4 + v. Let i be 4\/(-18) + 533\/819. Which is the second biggest value? (a) i (b) -0.4 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*f - 4*f - 13 - 3*f)*(0 - 1 + 4) to l*f + q and give q.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -3\/4, -9.77 in descending order.\nAnswer: 2, -3\/4, -9.77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 greater than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the third derivative of p**4\/3 + 5*p**3\/6 - 2*p**2. Differentiate u(y) with respect to y.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 13\/5 of a meter?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 353, 2, 11, -8, -5, -2.\nAnswer: -8, -5, -2, 2, 11, 353","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 8833777 and 146?\nAnswer: 8833631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 21 and 12?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the first derivative of g**5\/40 + g**4\/12 - g**3\/4 - 9*g + 10. Let j(x) be the first derivative of n(x). Suppose j(w) = 0. What is w?\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2 and 300.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the second derivative of 3\/2*l**3 - 2*l - 6*l**2 + 19 + 1\/12*l**4. What is y(-10)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -2*z**3 + 7*z**2 - 2*z - 7. Let u be x(3). Which is the third biggest value? (a) 0.7 (b) u (c) 0.1 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -387678\/439 or -884?\nAnswer: -387678\/439","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 20\/8075847 and 19\/143.\nAnswer: 88834317","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89*w - 10 = -2146. Solve -7*v = -17 + w for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.8 times -198?\nAnswer: 752.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -3*y**4 + y**3. Let q(c) = -2*c**6 + 269*c**5 - 18*c**4 + 6*c**3 + 142*c**2. Let i(f) = -q(f) + 6*t(f). Find the third derivative of i(u) wrt u.\nAnswer: 240*u**3 - 16140*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3 + 373422052.\nAnswer: 373422052.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 25 * -2888.7.\nAnswer: -72217.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11011 (base 2) to base 5.\nAnswer: -102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9945885 and 279?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -3*i**3 + 3*i**2 - 14*i + 105. Give h(7).\nAnswer: -875","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*l + 13*l - 201. Suppose n + 4*t - l - 15 = 0, 0 = 4*t - 16. Let u = -136 + n. Is 21 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (95\/(-10))\/((-47)\/94)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**3 + 7*w**2 - 8*w - 3. Let h be x(-8). Let j be (-5 - h)*15\/6. Let b = 4 - j. Which is greater: b or 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 121 - 1443323?\nAnswer: -1443202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*q - 4*q + 4*q)*((-5 + 3 + 4)*(-2 + 2 - q) + 0*q - 2 - 3*q + q).\nAnswer: 28*q**2 + 14*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*f**2 - 2*f**3 - 25462336 - 3*f**2 + 25462336.\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2580 and 10770.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1296)\/(-104) - (5 + 7)?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (93\/(-17298)*31)\/(14\/(-24)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o + 12. Give l(16).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 26594 - 26511.449. Let p = w + -82.9. Round p to two dps.\nAnswer: -0.35","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**2 - 27*t - 16. Let z(q) = 9*q + 5. Let b(v) = -2*i(v) - 7*z(v). Let h be b(5). Solve -h*j + 10 = 2*s, 0*s + j = -3*s + 15 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16346113*0.013\nAnswer: 212499.469","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5436*z**5 + 767*z wrt z?\nAnswer: -108720*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 520075 and 142?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 72 and 3325862.\nAnswer: 119731032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2470 and -5?\nAnswer: 12350","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 956*i**3. Let j(n) = -90343*n**3. Give 473*g(k) + 5*j(k).\nAnswer: 473*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 8*r**3 + r**3 + 3*r**3 + 0*r**3 to the form x*r**2 + i + w*r + b*r**3 and give b.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 - (-10)\/(-3))\/1*-3. Let o be (m - 14\/2) + 3215621. Suppose o = 10*g + 205618. Round g to the nearest ten thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -2*s + 14. Suppose -s*v - 7 = 3*y - 4, 3*y + 11 = v. Put -2, -9, y in decreasing order.\nAnswer: -2, y, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/2064)\/(1\/28*-7).\nAnswer: 1\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5, -10, -23, -50, -97, -170, -275?\nAnswer: -418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1332271.71 rounded to the nearest one hundred thousand?\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.16 - -0.76. Which is the third smallest value? (a) p (b) 5 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -d - 80*d**2 - 83*d**2 - 3*d**3 + 164*d**2 as k*d**2 + c + u*d**3 + n*d and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q - 43635*q**2 + 43777*q**2 + 2*q)*(2*q - 3*q - 2*q + (3 + 0 - 1)*(-q - 3 + 3)).\nAnswer: -710*q**3 - 10*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-24)\/(-28) - (1 + 0). Let q be 2\/15*25*-9. Let o(r) = 4*r + 119. Let l be o(q). Which is the third biggest value? (a) l (b) 0 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12 - 2. What is the common denominator of ((-17)\/(-20))\/((-8)\/(-20)) and (-9*(-8)\/f)\/(-1)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -75 (base 10) in base 16?\nAnswer: -4b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/(-10) + 4\/10 - -4. Let o(r) = 4*r**3 + r + 3. Let x be o(2). Solve -x + 12 = -d*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -4, -57, -204, -493, -972?\n\"Answer: -8*a**3 + a**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 - 1 = 2*d. Let n = 4 + -4. Suppose -3*y + 17 = 5*t, n = -5*t + 4*t + 2*y - 7. Sort t, -2, d in decreasing order.\nAnswer: d, t, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -804.\nAnswer: -1\/268","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 68, -1, -120, -289, -508?\n\"Answer: -25*j**2 + 6*j + 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 4*w - 10*w + 4*b, 12 = w + 3*b for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -174 - -221. Let l = -140 - -554. Suppose -4*a + 2*d + l = 0, 2*d = 2*a - c - 161. List the prime factors of a.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {c: 2, z: 2, e: 5}?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 92466?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 438 and 0.6623?\nAnswer: 290.0874","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46 - 36 = -2*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t**5\/7 - 1184*t**4\/7 - 1028*t**3 - 15656*t**2\/7 - 14480*t\/7 - 4832\/7 = 0. What is t?\nAnswer: -2, -1, 302","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 291145.\nAnswer: 5, 58229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0 (b) 9 (c) -0.3 (d) -0.764282 (e) -0.2 (f) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 44\/(-10) - (-5 + 92\/20). Let q be 1*l - (-21 + 10). Is 5994\/42 + 2\/q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -9*j**3 + 3*j. Let u(a) = 26*a**3 - 10*a. Let b(l) = -l + 4. Let x be b(-4). Let t(n) = x*r(n) + 3*u(n). What is the second derivative of t(i) wrt i?\nAnswer: 36*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1761.\nAnswer: 3, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6962 = 2*v - 4*f, 267*f + 6983 = 2*v + 270*f. What is the thousands digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1580 + 1583. Let h be (-1 + 0)\/((-1)\/(-1)). Let y = h - -4. Solve 0 + x = -y*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 50 and 35?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 810 bigger than 809?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(250)*4)\/sqrt(10))\/((sqrt(5) - sqrt(20))*-3*2).\nAnswer: -2*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20476814.\nAnswer: 2, 2753, 3719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-9)\/6*32\/(-6). Let u = f + -5. Suppose -w = -u - 0. Calculate the remainder when 7 is divided by w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*sqrt(68) - sqrt(68))*-3 + sqrt(68))\/sqrt(4) - (sqrt(153) + 4 - (sqrt(425)*1 + sqrt(425) - sqrt(425))))**2.\nAnswer: -96*sqrt(17) + 2464","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 2*y - 4*c, 2*y + 3421 = 5*c + 3409 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 58*h**2 - 818*h - 780.\nAnswer: 2*(h - 15)*(29*h + 26)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -733*w + 680*w - 267 = 6782 for w.\nAnswer: -133","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 63 and 1176.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17092 - -17414. Calculate the remainder when g is divided by 197.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 787, 89 in decreasing order.\nAnswer: 787, 89, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**3 + 6*k**2 + 8*k - 3. Let c be m(7). Let s = 252 + -245. Suppose -s*v - 740 = -5*t - 3*v, 0 = c*t - 4*v - 596. Is t a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 + 2. Let j be (-2)\/(15 - -1)*(6 + -4). Sort j, r, -4 in ascending order.\nAnswer: -4, r, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 40758574 or 40758571?\nAnswer: 40758571","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 39 + -37. Suppose z - 2*y - y = -4, 0 = 2*z - j*y - 4. Suppose -19*x + z*x + 2744 = 0. Calculate the greatest common divisor of x and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 2 i when three letters picked without replacement from giyiwiwi?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 76*18\/84 - 6\/21. What is the greatest common factor of 4 and y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2714621291 and -0.6379.\nAnswer: -2714621291.6379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**9\/(g*g\/(g\/((g\/g**(-8\/7)*g)\/g*g)*g*g)))\/(g**11\/((g*g**(5\/6))\/g)) assuming g is positive.\nAnswer: g**(-139\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 364*-9667\nAnswer: -3518788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oqopopoooqozooooouuo. What is prob of sequence qzoo?\nAnswer: 13\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1835 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes after 6:35 PM?\nAnswer: 11:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 2*k - 12. Let o be p(7). Suppose 0 = o*h + 2*h. Solve h*g + 4*x = -5*g + 1, -3*g - 3*x = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 4467?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -5\/44747?\nAnswer: -5\/44747","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*z + 215*z + 3465 = 0 for z.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2)*((2*o + 2 - 2)*(2 - 2 + 2) + (-3 + 3 - o)*(0 + 1 - 3) + 2*o + 2*o - 2*o + 2 + o - 2).\nAnswer: 18*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 33690 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1503*k**2 + 2463 + 1997 - 2*k**3 - k - 1195*k**2 wrt k?\nAnswer: -6*k**2 + 616*k - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 734*l**5 + 91749*l**4 + 270721*l**3 + 269009*l**2 + 89181*l - 122 = 0?\nAnswer: -122, -1, 1\/734","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 111*m - 13*m - 5194. Is 670\/13 greater than or equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.9846*-0.187.\nAnswer: -0.1841202","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 25512732 divided by 252\nAnswer: 101241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/7 in -0.1, -0.15, 0.021, 5, -5\/4?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10180152 divided by -848346.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*q - 30*q + 57 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 537\/1736 + -40\/217. Let f = -1.5 + 2.6. Which is the biggest value? (a) r (b) 2\/3 (c) f (d) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.6, -5, -0.5, 0, 4, 5.\nAnswer: -5, -0.5, 0, 1.6, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -30*s - 30*s + 8*s + (-5 + 5 + 7*s)*(22 - 19 + 28) to the form p*s + j and give p.\nAnswer: 165","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -21.302086694 and 194?\nAnswer: 215.302086694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*t**2 + 3143 + 52*t + 0*t**2 - 3143.\nAnswer: -4*t**2 + 52*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 37705 and 53993560?\nAnswer: 53993560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/13 + 13905\/(-12285))\/(17\/((-92701)\/57)).\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -5*n**3 - 6*n**2 + 11*n + 38. What are the prime factors of b(-8)?\nAnswer: 2, 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 6171661.79 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.3 + 0.6. Let p(v) = 3*v**2 - 443*v + 2421. Let i be p(142). Put -5, h, i, 1 in increasing order.\nAnswer: -5, h, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 19*w + 2*w**2 + 21*w - 11*w in the form o*w + y*w**2 + j and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7192.944 millennia to centuries.\nAnswer: 71929.44","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 90068 and 154?\nAnswer: 630476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 5, p: 3}. What is prob of picking 2 l?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (q + q - 3*q + (q + 1 - 1)*(3 - 1 - 4) + (3 - 4*q - 3)*(1 + 1 + 0)*(-1 - 1 - 1))*(-56*q - 4*q + 100*q) to the form a*q + x*q**2 + m and give x.\nAnswer: 840","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of b**6 + 27*b**4 - 1172919*b**3 + 856*b**2 - 2837*b - 1 wrt b?\nAnswer: 120*b**3 + 648*b - 7037514","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-83 + 460 + 26)*(-3*j**2 - j**2 - 2*j**2) in the form n*j**2 + u*j + p and give n.\nAnswer: -2418","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 46 divided by -5?\nAnswer: -46\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddedeeeqdeqqqed. Give prob of picking 2 d.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the second derivative of -j**5\/20 + 5*j**4\/12 + 4*j**3\/3 - 4*j**2 - j. Let m be h(6). Solve m*q + 8 = -0*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 5*a = -5, 5*a = -5*j + 103 - 38. Let d(v) = -3*v + 6. Let c be d(-8). Let h = c + -19. Calculate the smallest common multiple of h and j.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 169205?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w = 2*s - 4*w + 4, 5*s - 8 = -4*w for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11 - 11.13. Which is smaller: -1\/3 or q?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.5 (b) 50 (c) 1.625 (d) -46\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 146 and 2482?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1299 and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -41 (b) 4 (c) 0.07 (d) -0.3 (e) -73\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 + 0. Let d(y) = y + 12. Let r be d(-6). What are the prime factors of i\/6*3*r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -60, -256, -584, -1044, -1636, -2360, -3216?\n\"Answer: -66*h**2 + 2*h + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 29239 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 100002573?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76502.\nAnswer: 2, 29, 1319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 34\/187 - 218\/(-11). Suppose -a - w = -5*o + 15, 4*o - 44 = 4*a. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 5519 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -25*k**5\/4 + 215*k**4\/2 + 1353*k**3\/2 - 8847*k**2 - 241785*k\/4 - 164025\/2 = 0. Calculate k.\nAnswer: -27\/5, -2, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 31729 or 5?\nAnswer: 31729","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 20276911 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 527 + -527. Solve a = -w - 5 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes after 3:08 AM?\nAnswer: 12:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 4 = -14. Suppose 8*g - 48 = o*g. Suppose 2*q = 6 + g. Does 7 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -1 (b) 1144 (c) -0.35\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes before 9:23 PM?\nAnswer: 7:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-71)\/(8804\/93)*60\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 116997 > 117122?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2*l + 1 + (-2 + 2 + 5)*(0*l - 2*l + 0*l))*((-2 + l + 2)*(-31*l**2 - 1521 + 1521) - l**3 + 2*l**3 - 5*l**3 + (5*l - 4*l - 4*l)*(l**2 - 3*l + 3*l)).\nAnswer: 456*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -53.934 + -0.066. Let x = z - -128.6. Round x to the nearest 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 - 4.7. Let i = -1.595 + 3.595. What is the nearest to 1 in f, i, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/8)\/((-1)\/(-4)). Let q = 3 - 6. Let k be 1\/q - (-7)\/15. Is k <= f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -204 - 11*q + 7*q + 204.\nAnswer: -4*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 - 3b?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*n - 37 = 3*j - 32*n, -j - 3*n = -11 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, 8, 1\/15155?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*o = 11*o + 20 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 224 (base 6) in base 4?\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 881\/333 - -17\/222. Let s = 50\/9 - m. Solve 1\/3 - 2*b**3 - 1\/2*b - s*b**2 = 0 for b.\nAnswer: -1, -2\/3, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 2*h = 110, 5*o + 2*h + 205 = 3*h. Let t = o + 59. What is the least common multiple of (15\/5)\/(2 - 1) and t?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 + -1.05. Let v = 0.08 - -0.27. Let s = v + z. Which is the biggest value? (a) s (b) -2\/7 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d - 3*k + 7 = 0, -20 = 4*d + 138*k - 142*k for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the third derivative of -w**8\/84 + 7*w**7\/15 - 311*w**6\/60 + 4*w**5 + 12*w**4 - 3*w**2 + 10*w. Determine i so that s(i) = 0.\nAnswer: -1\/2, 0, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -345*v*w**2 + 440401*v + 311*w**3 wrt w?\nAnswer: -690*v*w + 933*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 5*f + 6*f**2 - 19 - 6*f + 9 - f**3. Let q be a(3). Is q\/49 - (-26307)\/21 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8\/((-80)\/(-30)))\/((-6)\/(-2))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7601 + 7603. Sort y, -3, 1396, -1, 5 in descending order.\nAnswer: 1396, 5, y, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 122 and 2320\/19 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -55*f**4 + 24*f**2 + 52*f**4 - 109*f**2 + (0*f + 0*f - f)*(0*f**3 - 5*f**3 + 9*f**3).\nAnswer: -7*f**4 - 85*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**3 + 2*q**2 + 8*q + 2. Let i(z) = -2*z**3 + 4*z**2 + 15*z + 3. Let n(x) = 4*i(x) - 7*s(x). Let u be n(-2). Is (-198)\/(9\/u*-1)*1 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, -844, -178, -3, 8 in decreasing order.\nAnswer: 8, 4, -1, -3, -178, -844","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 22287470 and 500.\nAnswer: 1114373500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2710.\nAnswer: 2, 5, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171) - -4*-1*sqrt(171))\/(sqrt(144) - (1*sqrt(144) - sqrt(144))))**2.\nAnswer: 171\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (-20 - 0)\/5\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*n + h = 15*n + 7*n - 47, 0 = 2*h - 6 for n.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-21)*g)\/(((g*g**8*g*g)\/g*g)\/g) assuming g is positive.\nAnswer: g**(-30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**3 + 5*p**2 - 5*p + 6. Calculate the remainder when 8*(-3)\/(-2) + -2 - 1 is divided by h(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 77 + -79. Which is the nearest to n? (a) 2 (b) 0.2 (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jccncvjjjjcrjjc. What is prob of picking 1 j and 1 c?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(11) + 1 + sqrt(11))*-4 + 5 + 3 + sqrt(1584) + 0 + 1)**2.\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1506677 and 57767.\nAnswer: 947","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 2 = -10. Let x(f) = f. Let w(a) = -3*a - 6. Let z(o) = -w(o) - 4*x(o). Determine z(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (31\/4*-2 + -2)*1392\/(-1160).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2052\/6275 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -69\/3830 and 23\/9879485?\nAnswer: 19758970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wcq when three letters picked without replacement from {c: 7, w: 6, q: 1}?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 4, -1, 2\/25?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -24 - -22. Let r(g) = -g + 4. Let j be r(7). Sort -5, c, j in increasing order.\nAnswer: -5, j, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 201492 is divided by 665.\nAnswer: 662","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 583*t - 1691. What is o(3)?\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1393 = 17*v - 105197. Calculate the greatest common divisor of v and 66.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.8 - 1.2. Let a = t + 0.5. Suppose 3 = 5*v + 2*w - 8, 2*v - 17 = -5*w. What is the closest to 0.1 in a, v, 11?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 57, -2, 33167, 15.\nAnswer: -2, 15, 57, 33167","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1889.17 - 24.17. Let y = 1864.9133 - x. Round y to two dps.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -7808 - -20?\nAnswer: -7778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (7 - 78\/15)\/(9\/15). Let g(o) be the first derivative of 0*o**w + 2 - 2*o**2 - 1\/2*o**4 + 0*o. What is the second derivative of g(h) wrt h?\nAnswer: -12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -27 - -329. Calculate the smallest common multiple of 22 and a.\nAnswer: 3322","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/9, 1.32, -0.3, 3, -3.\nAnswer: -3, -0.3, 1\/9, 1.32, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 + 22. Let o = -9 + g. Suppose -15 = -o*t + 3*t. What is the remainder when t is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 4*t + 2. Suppose 0 = -49*a + 44*a. Let h be g(a). Find the third derivative of 78*c + 2*c**5 - 5*c**h - 158*c + 80*c wrt c.\nAnswer: 120*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h**5 + 123*h**4 + 1065*h**3 - 3963*h**2 + 4224*h - 1452 = 0. Calculate h.\nAnswer: -22, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**3. Let q(s) = -3*s**3 + 14*s**2 + 14. Let v(x) = -2*b(x) - q(x). Is v(15) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 26 and 1222.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3072, -6200, -9418, -12762, -16268, -19972?\nAnswer: -23910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l - 9723 + 8995 = 0. What is the greatest common divisor of l and 72?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 368147 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -125871486 take away -0.849721?\nAnswer: -125871485.150279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 214596 and 11772.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -191605, -191762, -191919?\n\"Answer: -157*g - 191448","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 445177013 to the nearest integer?\nAnswer: 21099","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9566 or -1023499\/107?\nAnswer: -9566","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(65) + (sqrt(65)*-3 - sqrt(65) - sqrt(65) - sqrt(65))*-2)\/(sqrt(20)\/(sqrt(28)\/sqrt(7))) + -2.\nAnswer: -2 + 13*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -51*m + 1075. Calculate the remainder when 85 is divided by o(20).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 85154 is divided by 349.\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 4 = 3*h. Suppose -3*w - 53 = -h*k - 2*k, 27 = 2*k - w. Solve 11 + k = 5*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72149216 a multiple of 151?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 165664308?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cypp when four letters picked without replacement from ypqic.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -4558, -17250, -38080, -67048, -104154?\n\"Answer: -4069*d**2 - 485*d - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -65*b**3 + 4*b**2 + b - 2. Calculate the lowest common multiple of s(-1) and 508.\nAnswer: 16764","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9*9\/81)\/((-8)\/16).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3953760172+-1\nAnswer: 3953760171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3227093214?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 43*y**2 - 2*y + 10. Let j(f) = -86*f**2 + 3*f - 14. Give -3*j(p) - 5*r(p).\nAnswer: 43*p**2 + p - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 46 = w, 0*w + 32 = 2*w - 2*u. Let n = w - 14. What is the third derivative of -5*h**2 + 7*h**5 + 13*h**2 + n*h**5 wrt h?\nAnswer: 840*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the third derivative of 289*w**7\/70 + 235*w**3 - 5*w**2 + w. What is the derivative of y(r) wrt r?\nAnswer: 3468*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 2*j - 3*j - 9, 2*y - 7 = 3*j. Let w = -18 + 16. Is y != w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6*(1 - (-3)\/(-6)). Suppose 11 = -f + b*t + 2, -4*t = -3*f - 22. Let c = -4 - f. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18*y + 11*y - 30*y + 0 + 0 - 635*y**3 to the form m + v*y**3 + o*y + h*y**2 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -0*g + 20. Let l = -14 - -10. Sort l, 3, g in increasing order.\nAnswer: l, 3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 20 - 20 = 0. Calculate the least common multiple of 42 and f.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a + 0*a - a)*(-4*a + 0*a + 2*a) + (5*a**2 - 3*a**2 + a**2)*(40 + 26 - 5).\nAnswer: 185*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*b + 18*b - 129*b - 99 = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17\/4, -1\/8, -74, 0, 6\/5.\nAnswer: -74, -1\/8, 0, 6\/5, 17\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(720)*1 + 1)**2.\nAnswer: 24*sqrt(5) + 724","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13 + 12.52. Let z = 0.2968 - 2.2758. Let y = z + -0.021. Is y != o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5035 is divided by 1250?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:26 AM and 12:37 PM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13 and 47?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from uugguguuuuuugg?\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g + 15. Let p be o(17). Let y = -4 - 1. Let c be 4 - (p + (-3 - y)). Solve -4*v = -2*q - 14, -v + 22 = -c*q + v for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -199 - -114. Let i = 90 + s. Solve 0 = 4*y + 16, -4*v + 17 = -i*y - 23 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 345 and 6075805.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1328?\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/4 of a millimeter?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-114)\/(-10) - (-8)\/(-20))*35. Let f = u + -378. Solve g + 3*i = 5, f*g - 20 = 3*g - i for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes after 2:19 PM?\nAnswer: 11:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -2*u**3 - 14*u**2 - 15*u - 30. What is the least common multiple of x(-7) and 135?\nAnswer: 675","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 342 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*s**3 + 15 + 9*s**3 - 15.\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 17*x**2 + 3*x + 3. Suppose 3*f = -0*f - 3. Let i be (4\/f)\/(4 + -3). Is u(i) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 2*w = -16, -5*g + 2*w - 36 = 5*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 227325, 227318, 227307, 227292, 227273, 227250?\nAnswer: 227223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 15 - 10 - (-2 - -5)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 102\/14 + -2 + (-20)\/70. Suppose -2*q - 2 = -0*o - 2*o, -o - 7 = -y*q. Solve h - 3 = 0, -h = 2*f + q*h - 13 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/1)\/9*78\/(-65)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/(-6) + (-14)\/(-6). Suppose m*k = 40 + 83. Suppose 3 - 73 = -5*s. Calculate the remainder when k is divided by s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = -5*k - 2600. What is the remainder when k\/(-6) + (-2)\/(-6) is divided by 23?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 431451 is divided by 43143?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*s - 10 = 35*m - 36*m, -3*m - 5*s + 39 + 37 = 0 for m.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1784746038 from -8332.\nAnswer: -1784754370","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g = -2037*t + 2033*t + 2, 3*g = 5*t + 4 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-10)\/(-4) - 1)\/(14\/28). Solve 2*l = 2*v - 4, v - 7 = -m*l - l for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21515?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 98458986?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 494, 63, 3.\nAnswer: 3, 63, 494","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 4572?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jtjjt. What is prob of picking 1 t and 1 j?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -72 divided by -6?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, r: 4, x: 3, b: 1, k: 2}. What is prob of picking 2 x?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 636\/7, 1\/34, -3, -1\/8?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-6912)\/(-45312)*2\/6\nAnswer: 3\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2.4, -2\/11, -0.1, -132513, 3, -0.4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 76658902 a multiple of 1151?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-6*((2*sqrt(132))\/sqrt(4)*-2)\/(sqrt(24)\/(sqrt(200)*-1)))**2.\nAnswer: -158400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of m**3*r**2 + 36*m**3*r - 18*m**3 + m**2*r**2 + 267*m**2*r - 2*m**2 + 2*r wrt m?\nAnswer: 6*r**2 + 216*r - 108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -56 - -40. Let n be (-3)\/2*f\/12. Find the third derivative of 4*y**4 - 2*y**2 + 4*y**n - 3*y**4 wrt y.\nAnswer: 24*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -183*w**3 - 213*w**3 - 72*w**2 - 7 - 212*w**3 + 72*w**2.\nAnswer: -608*w**3 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = 5*l - 100, -5*q - l + 101 = 13. Let t(n) = n**3 + 5*n**2 + 5*n + 3. Let m be 9\/(-2)*4\/6. What is the remainder when q is divided by t(m)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*g + 100*g - 1626 - 26*g - 29*g.\nAnswer: g - 1626","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*s - 458*s**2 + 2 + 0*s + 3*s.\nAnswer: -458*s**2 + s + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the third derivative of 25*x**8\/336 + x**4\/4 - 8*x**2 + 3. What is the second derivative of p(j) wrt j?\nAnswer: 500*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2252.8 to the nearest 1000.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 - -2. Solve i = -c + 3*o - 15, c - 23 = 6*c - 2*o for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 792 = -3*t, 5*q + 4*t = 420 + 891. What is the remainder when q is divided by 38?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 - -22. Is v a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 40 and 149252.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -k**2 - 4 + 5*k**4 + 2*k**4 - 5*k**4 to the form u*k**4 + r*k**2 + w*k + f*k**3 + p and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -3*d + 345. Let r = 250 - 212. Is 21 a factor of f(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 (base 12) to base 15\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -108396, -108478, -108560, -108642, -108724, -108806?\n\"Answer: -82*w - 108314","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 24\/3092965 and 11\/145?\nAnswer: 89695985","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(24)*-3)\/sqrt(2)*-1)**2 - (5 + ((sqrt(363) - sqrt(363)*-1*4) + 0)**2).\nAnswer: -8540","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(56)\/(sqrt(7) + (sqrt(7) - -3*sqrt(7)) - sqrt(7) - sqrt(7))*-2.\nAnswer: -4*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5275.\nAnswer: 5, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 10*c**3 - 2*c**2 + 1. Calculate x(-1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -8*g - 11*g + 1 + 3*g. Suppose -4 = 3*y - 2*j, 3*y + 2*y = -5*j + 35. Suppose 0 = -2*c - y*n + n - 2, 0 = -4*n. Determine h(c).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1413*l**2*x**2 - 72*l**2 + 12*l*x - 2*x wrt x?\nAnswer: -2826*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -96 (base 13) in base 11?\nAnswer: -102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 241.18062 minutes to hours.\nAnswer: 4.019677","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1026270 and 13608.\nAnswer: 12315240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 83193 = 83259?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 2596 = -269. Let i = -1183 - n. Round i to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -35*f. Let c be (-2)\/(-16) + (-28)\/224. Let t be w(c). Solve -13 = 3*i + 4*l - 2, t = l + 5 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + 16 - 4. Let a be x\/14*(0\/(-4) - -7). Suppose -202 = -a*v - 2*d, 2*v + 4*d + 196 = 4*v. Is v a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -14552 and 5107944257?\nAnswer: 5107958809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3812.98 - 3813. What is the closest to 3 in 2, d, 2\/13?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f + 463 = -29. Let p = -82 - f. Solve p = -5*s + 5*l + 30, -2*l - 16 = -2*s + l for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssss when four letters picked without replacement from {s: 9}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2341329156.\nAnswer: 2, 3, 109, 596669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 815744068?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**3 + 9*i**2 + i + 2. Give b(-9).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(156) - sqrt(156)*1*3)*-5)\/(-3*1*sqrt(12)*-3).\nAnswer: 10*sqrt(13)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -585*t - 433 + 936 + 1252 = 0. Factor 76\/3*i + 11\/3*i**t - 1\/3*i**4 - 44\/3*i**2 - 16.\nAnswer: -(i - 4)*(i - 3)*(i - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3610551?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 5 + 9)*((u**3 - 2*u**3 + 3*u**3)*(-4*u + u + 2*u) + 10*u**4 + 4*u**4 - 3*u**4) to f + h*u**3 + s*u + o*u**4 + q*u**2 and give o.\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -5*x + 3. Let n(b) = 3*b + 104. Let s be n(-16). Suppose -s*r = -59*r + 261. Calculate the remainder when r is divided by u(-4).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**3 - 4*j**2 + 5. Suppose 0 = 3*z - 11 - 1. Suppose -2*c + z = -c. What is the units digit of b(c)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 2 o when four letters picked without replacement from {o: 3, q: 3, l: 13}?\nAnswer: 3\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 2*f = -49, 7*i - 54 = 3*i - 3*f. Suppose 7*h - i = 4*h. Solve -4 = -h*u - 3*x - 13, 3*u + 17 = 4*x for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 87 + -49. Suppose -k + 55 = 4*k + 4*x, -4*k - 2*x = -c. Suppose -1 = k*j - 120. Sort 3, 0, j in ascending order.\nAnswer: 0, 3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 42*t + 8. Suppose 3*u - 6*u + 3*f = -18, 1 = -f. Suppose 2*n = 3*b + 4, 5*b = 3*n - u - 1. What is the units digit of z(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 - (-39 + 28 - (-13 - 1))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - i = 6. Suppose 0 = 6*t - i*t. Does -1\/2 = t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 j, and 2 l when four letters picked without replacement from lgjjlljqll?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*o = 37*o + 142 + 558 for o.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*u - 2*u. Solve -5*g = 3*p + 17, u = g + g + 2 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 43 + -25. What is the remainder when 35 is divided by l?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -4 + 6 + 1 + (-2 - -2). Let z = 152 - 86. Suppose 2*g + 20 = 3*v + z, -2*g + 32 = 4*v. Solve g = -7*w + i*w, w = -f - 1 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47801 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the second derivative of -2*m**6\/15 + 151*m**5\/5 - 4076*m**3\/3 + 2756*m. What is the second derivative of o(t) wrt t?\nAnswer: -48*t**2 + 3624*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.28 * -10.\nAnswer: -2.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 + -11. Let c = 6 + t. Let u be c - (-1 - 499999) - 2. What is u rounded to the nearest 100000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5183 + 5213. Suppose z + 2*z = 153. Calculate the remainder when z is divided by t.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 59\/5 of a litre?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2*i + 2)*((2 - 2 + 1)*(-6*i + i + 2*i) - 33*i - 35*i - 126*i).\nAnswer: -394*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 62 - 22. Let d be 240\/(-8)*10\/(-25). Calculate the greatest common factor of d and j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -101 - -128. Calculate the remainder when f is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 1 + 3)*(-1 - 3 + 5)*(3 - 5*m - 3) in the form w*m + i and give w.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 2*r**3 - 212*r**2 + 4358*r + 682. What is h(78)?\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*w + 58*w - 2 - 48 = 17*w for w.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -530867, -530873, -530879, -530885?\n\"Answer: -6*r - 530861","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the third derivative of -z**5\/360 - 5*z**4\/144 - z**3\/9 + 21*z**2. Factor w(n).\nAnswer: -(n + 1)*(n + 4)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes after 10:47 AM?\nAnswer: 4:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20020 and 300.\nAnswer: 300300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -4*g + 16, 4*n = -n + 2*g - 8. Let r = -876 + 878. Find j such that n*j - 4\/3*j**r + 2\/3 + 0*j**3 + 2\/3*j**4 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r - a = a - 14, 2*r - 17 = -3*a for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 310 (base 13) to base 10\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 244 = -94. Suppose 79*o = 81*o - f. Suppose 3*u - 78 = -3*c, -5*u + 0*u + 137 = -2*c. What is the remainder when u is divided by o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -53235 (base 6) to base 11\nAnswer: -5477","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -150167 - -383808. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ehh when three letters picked without replacement from {e: 1, m: 2, h: 2, x: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjjjjjkjkskk. What is prob of sequence kk?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c - 1. Let h(v) = 2*v + 7. Let j(n) = -h(n) - 4*l(n). Let d be j(5). Put -3, d, -5 in decreasing order.\nAnswer: d, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -206213, -412424, -618635, -824846?\nAnswer: -1031057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 621495 and 66150.\nAnswer: 130513950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + 3 + (7 - 23).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*f = 14*f - 16. Solve 0 = v + f - 10 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 1410318559?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m + 28. Let b(o) = 19 + 2*o + 38 + 0*o. Let p(l) = -4*b(l) + 9*i(l). Is 8 a factor of p(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 6*w + 130. Let k = 30 + w. Factor -k*c**2 + 4 + 534*c - 534*c.\nAnswer: -4*(c - 1)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 201313 is divided by 635?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1573157 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*((-6*(sqrt(133) + -2*sqrt(133)) - sqrt(133)) + sqrt(133)))\/((sqrt(567) - (sqrt(567) - (sqrt(567) + (sqrt(567) - sqrt(567)*-1))))\/sqrt(9)).\nAnswer: -4*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21465.8ns to microseconds.\nAnswer: 21.4658","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1175*m + 662*m - 59744 = -30*m for m.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 91 divided by 5.\nAnswer: 91\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d**5 - 38*d**4 - 10*d**3 + 1152 + 1503*d + 596*d + 1064*d**2 + 74*d**3 + 13*d = 0. Calculate d.\nAnswer: -2, -1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -47703c + 5?\nAnswer: -477037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/27 and 157\/138?\nAnswer: 1242","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 370063 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*l = -29*l + 30114. What are the prime factors of l?\nAnswer: 3, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 1158*q. Let y(v) = -1183 - 29*v**2 + 35*v**2 + 1183. What is r(y(f))?\nAnswer: 6948*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 4*l**2 + l + 11. Calculate i(-2).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 13\/108?\nAnswer: 13\/108","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 132\/224 + 225\/(-315)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:48 AM and 12:13 PM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from tnvtnntvn.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -7*z**2 + 71 + 2 - 2*z**2 - 11*z + z**3 - 8*z**2 + 6*z**2. Calculate the least common multiple of w(12) and 51.\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4374 and 3456.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**3 - 27*g**2 - 26*g - 51. Let i be n(28). Is (i + -3 + (-35)\/15)*-12147 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*v = 2 - 22 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**2 + 14*x + 3. Suppose -d + 28 = -3*d. Let j be l(d). Factor -4*h + j*h + 3*h**2 + 4*h + 3*h.\nAnswer: 3*h*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8297374?\nAnswer: 2, 4148687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 64, 85, 112, 139, 160, 169?\nAnswer: 160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + y + 2*t - 9 = 0, -y + 5*t = -10. Let u(i) = -6*i**2 - 41*i - 118. Let j(b) = 2*b**2 + 13*b + 34. Let n(l) = -7*j(l) - 2*u(l). Determine n(y).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**3 - 4*k**2 - 4*k + 6. Let d(b) = -b**2 + b + 10. Let q be d(-2). What is a(q)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 2 o when three letters picked without replacement from {o: 5, p: 2, x: 7, j: 4}?\nAnswer: 5\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8442076064?\nAnswer: 2, 97, 2719741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -0*g - 2. What is the least common multiple of (1 - -1) + 9*g and -6*(1 + 7\/(-3))?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (20\/(-30))\/(5\/3)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 66942773 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3429882344?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is (-66)\/11*3\/((-9)\/40) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*v**3 + 32*v**2 + 28*v.\nAnswer: 4*v*(v + 1)*(v + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**3 - 3*s**2 - 9*s - 4. Let x = -1075 - -1080. What is i(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 - -47. Suppose -x = -2*c - 2*c + u, -4*c = 4*u - 28. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.1 + -0.3. Let u = 2 - -6. Let m = u + -13. What is the second biggest value in -3, q, m?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -44509121, -44509123, -44509125, -44509127?\n\"Answer: -2*x - 44509119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -83*i**4 + 82*i**4 - 7*i + 56*i**5 + 80*i wrt i?\nAnswer: 1120*i**3 - 12*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -16987*k + 4229748. What is n(249)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**3 - 4*b**2 + 3*b - 4. Determine w(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(112)*3 + (sqrt(28) - (sqrt(140)\/sqrt(5) + 4)))**2.\nAnswer: -216*sqrt(7) + 1089","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k + k - 3*k)*(121*k**2 + 22*k**2 + 170*k**2 + 0*k**2).\nAnswer: -313*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 6*y + 50. Let q be o(-4). Suppose 4*r = 2*d + 2*r - 22, -3*d = -2*r - 30. Let f = d + q. Is f a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.05 - 0.55. Let a(n) = 10*n**2 - 1. Let p be a(-1). Let l = p - 5. Sort i, -0.2, l.\nAnswer: i, -0.2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 11*h**2*n + 657*h**2 + 8*h*n wrt n?\nAnswer: 11*h**2 + 8*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (-28)\/(-12) - 11\/(-21)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*b**3*j*p**2 + b**3*p + 3*b**2*j*p**2 + 61*b*j*p + b*j + 2*j*p**2 wrt b?\nAnswer: 36*b*j*p**2 + 6*b*p + 6*j*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**3 - 7*r**2 - 8*r + 2. Suppose -8*v + 11*v - 24 = 0. Let p be t(v). Solve p*c = 2*f, 0 = 3*c + c for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(((-1768)\/(-39))\/17)*(-3 - 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1820.\nAnswer: 2, 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 5*q - 3*d - 180, -3*q = d - 100. List the prime factors of q.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -8c + -10582?\nAnswer: -10630","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 344*t - 32. Let l(n) = 53*n - 5. Calculate -32*l(d) + 5*u(d).\nAnswer: 24*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*d**2 + d + 7*d + 15*d**2.\nAnswer: -16*d**2 + 8*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 100 = 2*b. Suppose 0 = 2*i - 3 + 5. Let v be 19 + (2 - 0) + i. Calculate the highest common factor of b and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1888*f**3 - 5*f**2 + 214*f wrt f.\nAnswer: 11328","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1\/4 (b) -2\/165 (c) 0.2 (d) -1\/5 (e) -1 (f) -24\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 461\/132 - -1\/132. Sort 0.5, -4, u, 1 in increasing order.\nAnswer: -4, 0.5, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vd when two letters picked without replacement from vghhhhgdpd?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 67333\/2 + -33666. Let q = 1.1 - 8.1. Which is the third biggest value? (a) o (b) 5 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1775753, 1775886, 1776019, 1776152?\nAnswer: 1776285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9\/(36\/80) + 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*y + 4*y - 28*y - 64 + 11*y as h + o*y and give h.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -2 + 6*l - 5*l + 3*l. Suppose 5*q = 5*m, 2*m - 5*q = m - 12. Suppose 5 = -5*a + 4*o, -m*o + 5 + 10 = 0. What is j(a)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 8855 = -2*n, -5*a - 5982 - 11729 = 4*n. Let p = 6502 + n. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6\/3 + 42 - (-52)\/(-13) is divided by 32?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -5, 135.\nAnswer: -5, 6, 135","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2104 - -2128. Calculate the remainder when 66 is divided by z.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*g**2 + 4*g**2 + g**3)*(-g**2 + g**2 + 8*g**2).\nAnswer: 8*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*h*p*q**5 + 10*h*p*q + h*q**5 + h*q + 27*p*q**2 - 2*p - 5 wrt q.\nAnswer: 40*h*p*q**3 + 20*h*q**3 + 54*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/38 at least as big as 2\/29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1376 and 10?\nAnswer: 6880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2040255 is divided by 349?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 40096?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v. Let x(b) = -b**3 + 2*b**2 - 6*b - 2. Let f(o) = -4*w(o) - x(o). Let k = 563 - 560. What is the units digit of f(k)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 213 - 106. Let n = -4114.9 + 4115.3. Sort 0.2, n, y in increasing order.\nAnswer: 0.2, n, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*a**3 - 48718 + 48718.\nAnswer: 10*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve r**3\/7 - 500*r**2\/7 + 19148*r\/7 + 40304\/7 = 0 for r.\nAnswer: -2, 44, 458","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -397*m - 3. What is the units digit of a(-25)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*s + s - 16 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the second derivative of 87*c**6\/5 + 229*c**2 + 483*c. What is the first derivative of b(s) wrt s?\nAnswer: 2088*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4928455 and 189.\nAnswer: 133068285","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 13 = z, -5*z + 6 = -2*s + 3. Let a be 2 + -1 + z + 4. Let m = -21 - -30. Solve -m = a*q + 3 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*k - 2*k - k**4)*(4 + 1 - 3) + (-k**3 + k**3 + 2*k**3)*(1227*k - 41248 + 41232 - 236*k) as c*k**4 + m + a*k**2 + n*k + x*k**3 and give c.\nAnswer: 1980","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 4186097, 4186104, 4186111, 4186118, 4186125, 4186132?\n\"Answer: 7*m + 4186090","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 + -2. Suppose -v = 2*s - 6, 0 = u*s - 5*v + 4 + 2. Suppose m = -s*m + 9. Solve m - 9 = 2*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and -2.411.\nAnswer: 0.7233","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 10 = 2*s. Let k be (66\/55)\/((-1)\/s). Let m be (4 - 1)\/(k\/(-4)). Solve 0 = m*v + 4*d - 0*d - 16, 4 = 2*d for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mrkuxud. Give prob of picking 1 u and 1 x.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1488 divided by 1\nAnswer: -1488","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.8 + 1.8. Let y be (-1 - 15\/(-12))*9\/3. What is the second biggest value in y, k, 0.3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -11*i**2. Let c(s) = -6*s**2. Let a be (-7)\/1 + (-4)\/(-2). What is a*c(d) + 3*r(d)?\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 711 is divided by 55?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w**5\/w))\/((w**(-20)*w)\/w))**(1\/32) assuming w is positive.\nAnswer: w**(17\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -121, -711, -1309, -1915, -2529, -3151, -3781?\nAnswer: -4419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10706327?\nAnswer: 277, 38651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-2\/27)*v)\/(v*v**(1\/10)))**(-1\/16) assuming v is positive.\nAnswer: v**(47\/4320)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*-4*sqrt(360)\/sqrt(8)*-3.\nAnswer: -144*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 1 p when three letters picked without replacement from oopooopppopopyyppo?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 631 - 562. Let d = -53 + 120. Which is bigger: d or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*j - 7001 + 18144. Let z = 4087\/4 + j. Calculate the common denominator of z and 4 - 1 - 137\/44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from {g: 4, e: 7}?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -607*t**2 - t - 55 wrt t.\nAnswer: -1214","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 80 and 7940?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-18) - (-10)\/(-4)*244\/5490?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 - 3.3. Let g = -3 - 0. Let p(n) = -n**3 - 12*n**2 + 13*n. Let u be p(-13). Which is the nearest to u? (a) 0.5 (b) k (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 837353564 >= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16596, -33138, -49662, -66168, -82656?\nAnswer: -99126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -12 (b) 0.2 (c) -31 (d) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 542 - 4134 = 0. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) 2 (c) -5 (d) -0.2 (e) -4 (f) 8682\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -338, -333, -328?\n\"Answer: 5*y - 343","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*t + 978 = -256*t - 141*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 - -16?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 39301?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -r + 8. What is the common denominator of (37\/(-1))\/(r - -1) and -23\/8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 271, -205, -995, -2093, -3493, -5189, -7175, -9445?\nAnswer: -11993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51 = -7*c + 4*c. Let d = c + -10. Let g = d - -2. List the prime factors of g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*c - 6*c - 30 = 0. Find the common denominator of -5\/18 and (537\/c + 2)\/(-2 - -5).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, o: 6, n: 3, s: 2, e: 3}. What is prob of picking 2 n?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 459, 889, 1301, 1689, 2047, 2369?\n\"Answer: -f**3 - 3*f**2 + 446*f + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**3 - 189*f**2 + 188*f - 390. Calculate x(-190).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*b**3 - 19*b**3 + 121*b + 37*b**3 + 4*b**3 - 121*b.\nAnswer: 3*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -854025171*i**3 - 502352046*i**2.\nAnswer: -5124151026","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 998*u**2 - 147*u + 1174057?\nAnswer: 1996*u - 147","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/28 and -39\/88?\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -22 - 58. Let m be ((-6)\/(-4))\/((-6)\/t) - -7. Solve -m*o - 4 = 2 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = n - 7. Let s = 15 - n. Is 6 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1554\/((-27)\/(-9)) + -2. Suppose 1024 + g = 5*w. What is the remainder when w is divided by 39?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:36 AM and 4:37 PM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 88\/(-5) + -2*(-4)\/(-20). Let l be ((-12)\/f)\/(6\/36). Solve -l = 2*h - 6*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-508)\/12 + (-2 - -6). Let f = w + 38. What is the biggest value in f, 1\/5, 0?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 198, 569, 1180, 2031, 3122, 4453?\nAnswer: 6024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 136 by 5.\nAnswer: 136\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -1\/6, 464, 3, 0.06, 4, -1\/7?\nAnswer: 464","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -140 = 2569*q - 2534*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 674 and 18?\nAnswer: 6066","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -14 (base 6) to base 2\nAnswer: -1010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, -4, 5, 25?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.78 + 115.78. Let t = x + -109.1. Let p = 14.9 - t. Which is smaller: p or -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*x + 21*x - 44. Suppose -j - 10 = x. Let b = 23 + j. Calculate the smallest common multiple of b and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**2 + o + 3. Let f be t(0). Let p be (-10 + 5 + 6)\/((-2)\/(-102)). Let b = p + -50. Sort f, -7, b in descending order.\nAnswer: f, b, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 5281, -0.2, -1, 69 in decreasing order.\nAnswer: 5281, 69, 0.4, -0.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -42\/17 (b) 0.3 (c) 1 (d) 2\/69 (e) -3\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 195 is divided by 166?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*i**2 - 14*i**2 - 21*i**2 + 71*i**2 - 19*i**2 + 5.\nAnswer: 3*i**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k + 6*k - 4*k)*(-3 - 2 + 3) - 1 + 1 + k + (4 - 1 - 1)*(2*k - 4*k + 0*k) + 0*k + 5*k - 3*k + k - k - 9*k.\nAnswer: -20*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ouovkvvomkvvvmvvv. Give prob of picking 2 u and 1 o.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/4 and -20\/33?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4010175?\nAnswer: 3, 5, 13, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1358 divided by -28043?\nAnswer: -1358\/28043","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 53115 a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.004771 to three dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 9735782 a multiple of 285?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = 2*c + 35*s - 40*s, -3*s = 3*c - 42 for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - -2) + (-19 + 12 - (-8 - 5)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (5\/(-10))\/(1\/(-58)). Suppose 2*b - 83 = -l. Is b a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -8*f - 36. Let j be c(-5). Which is smaller: -4 or j?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 174901461?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5\/29 in -4, 3, -1, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8080 divided by -2020?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4295409372 and 108.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, -2, -2\/5, 1852, -4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the third derivative of -v**4\/8 - 2*v**3 + 5*v**2. Let l be m(-5). Suppose -4*h = 2*i + 10, 3*i + l = 3*h - 12. Sort i, -1, 3 in increasing order.\nAnswer: i, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -229*a + 217*a + 84 = 0 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*v*v\/(v\/(v*v**8\/v))*v**(3\/7) assuming v is positive.\nAnswer: v**(73\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -21 - -30. Suppose j*q - 4*q - 6265 = 0. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -12*w. Let i(r) = -15*r**2 + 2364*r - 2364*r. Give i(v(z)).\nAnswer: -2160*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.6 and -175.\nAnswer: -280","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 44.2 - 44. Are 1.9 and d non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -7*n**3 - 97*n**2 + 5*n - 130. Calculate j(-14).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -435.0842 + 435. What is q rounded to two decimal places?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t = 3*s - 10, 0 = 2*s + 30*t - 26*t + 8 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1886767 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -802, -1594, -2376, -3148?\nAnswer: -3910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/(-14) + (-160)\/28. Let f be (-3 + l\/(-2))\/1. Suppose 5*j = 4*n - 1, n + 2 = 2*j - f. What are the prime factors of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = -3*y + 8. Let t(m) be the third derivative of -m**5\/60 - m**4\/3 - 5*m**3\/6 + 8*m**2. What is t(y)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.2 - 5.6. Let i = -31.4 - w. Let u = -33 - i. Which is the biggest value? (a) u (b) 5 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 199*n - 394*n + 200*n - 38. Calculate j(7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4071663 and 0.6?\nAnswer: -2442997.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 528 = -2*q - 2*q, 3*q = 2*j + 407. Suppose -5*x + q = -t, 11 = x + 5*t - 0. Let b = x + -24. Solve 3*f - 17 + b = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3\/(-9))\/((-2)\/30). Let u = 9 - o. Suppose 4*i + 2*x = 16, 5*i = 3*x - u + 46. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.4 (b) 5 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6 - -1261.73073542.\nAnswer: 1255.73073542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 43685964 divided by -18?\nAnswer: -2426998","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.099994 and -1.\nAnswer: -0.099994","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1048 (b) -0.04 (c) 0.3 (d) -0.058\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0.1, 3, -32\/13, 2\/9, -19, 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2.06? (a) -1\/2 (b) 3720 (c) 1 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 2 = -18. Suppose -z - 8 = 3*z - 4*j, 17 = l*z + j. Suppose -g + z*g = 2*u - 22, 5*u = -2*g + 69. What are the prime factors of u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, k: 2, f: 1, e: 4, r: 3}. What is prob of picking 1 o and 2 e?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 161, -3, 152, -23\/4, 3\/4, 0.04?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17 - 34 + 16 - 114*k.\nAnswer: -114*k - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1177*b = -1223*b + 230 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 164*s + 12. Let p(n) = -13*n - 1. Determine -3*o(y) - 40*p(y).\nAnswer: 28*y + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, -4, -56, 0.91, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-50)\/28*(-324)\/(-405)\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (-2 + -8) - 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 342*p + 4216. Is l(17) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 11870, -7, 23, -0.1 in increasing order.\nAnswer: -7, -0.1, 23, 11870","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*s - 48 + 1072 = -164 for s.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or 2\/49?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 - 158dd3f?\nAnswer: -158dd42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**2 - 2*j - 1. Let i be f(-4). Let y(d) = 39*d - 807. Let n be y(26). Calculate the greatest common divisor of i and n.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/5640 and 17\/10340?\nAnswer: 62040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 0.8770364 weeks?\nAnswer: 530431614.72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5340*c**3 - 21235*c**3 + 5332*c**3 + 5340*c**3 + 5222*c**3.\nAnswer: -c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 103*a**3 - 2*a**2 + 2*a**2.\nAnswer: 103*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1471168172 divided by 4.\nAnswer: -367792043","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 267342, 267343, 267372, 267447, 267586, 267807?\n\"Answer: 3*s**3 - 4*s**2 - 8*s + 267351","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 20\/(-2)*6\/(-12). Suppose 42 - 257 = -b*k. Calculate the remainder when k is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*b - 2*b**2 - 9*b**4 + 24*b**4 - 10*b**4 + b**3 as c*b**2 + w*b**4 + v*b + l*b**3 + q and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the second derivative of -u**6\/180 + u**5\/12 + u**4\/24 - 7*u**3\/9 - 5*u**2\/3 + 222*u. Find d, given that j(d) = 0.\nAnswer: -1, 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9 + 11. Let m(l) be the first derivative of 0*l**4 + 1\/5*l**5 + 0*l**h + 0*l**3 - 2 + 2*l. Find the first derivative of m(k) wrt k.\nAnswer: 4*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 25\/8 (b) -5 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-14))\/((26\/7)\/13).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -12032303 (base 5) to base 11\nAnswer: -76915","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 2*k - 9. Let c be g(6). Suppose c*q = 8*q + 95. Let r = q + 17. Let t(u) = -3*u**3 - 2*u**2 + u - 1. Calculate t(r).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**2 + 9*k - 6. Let b = 21 + -13. Let o be p(b). Suppose -o*d + 7 = -9. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 3*g - 640004 = 2*p, -3*g - 5*p - 1920010 = 0. Round g to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/452 and -17\/18.\nAnswer: 4068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 12 - 7.3\nAnswer: 4.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 6517.719 meters?\nAnswer: 651771.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -766*d**4 + 12*d**4 + 756*d**4 + 104*d**2 - 26*d**3 - 120*d.\nAnswer: 2*d*(d - 6)*(d - 5)*(d - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/5, -3.8, 2\/7, 2, -0.07, 1\/2?\nAnswer: -3.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**(2\/5))\/d*d)\/d*d\/(d\/((d**(-1\/6)*d)\/d))*(d*d**0\/d)**16 assuming d is positive.\nAnswer: d**(-17\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 i, and 1 v when three letters picked without replacement from ifsnbnsvf.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/(-9)*(-10 + (1 - 0)). Suppose -p*h + 17 + 13 = 0. Suppose -h*q + 405 = -5*x, -2*q + 177 = -3*x + 4*x. What is the remainder when q is divided by 18?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37672.\nAnswer: 2, 17, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 22*k - 33*k. Solve 2*q + 3*h = k, -9 = 5*q - 0*h + 3*h for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -5, 3, -446 in increasing order.\nAnswer: -446, -5, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 25514818 to the power of 1\/2, to the nearest integer?\nAnswer: 5051","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l\/(l**(-5)\/l)*l*l**(-11))\/(l*((l*l*l*l*l**(-2\/13)*l)\/l*l)\/l*(l**(-6)\/l*l)\/l*l) assuming l is positive.\nAnswer: l**(-11\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 39349 and 109.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16*y**3 + 832*y**2 - 844*y + 212.\nAnswer: 4*(y + 53)*(2*y - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -5*u**2 + 6*u. Let t(y) = 1. Let i(o) = 1. Let n(d) = -6*i(d) + 5*t(d). Let a(x) = -2*n(x) - q(x). Let r(c) = -c**2 + c - 1. Calculate a(v) + 4*r(v).\nAnswer: v**2 - 2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i + w + 23 = 10*i, -4*i + 28 = -4*w. Suppose 5*y + i*u - 1390 = 10*u, 2*y = -u + 556. Does 18 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2777017 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d = -r - 1, -22*d + 23*d - 25 = -5*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 3*i**3 - 22*i**2 + 19*i - 35. Let k(x) = 2*x**2 + x. Let l be k(-3). Let t be n(l). Suppose 4*q - 22277 = -t. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -33\/4 + 8. Let w = -4 - -4.11. Let t = -0.01 + w. Sort i, 3, t.\nAnswer: i, t, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -59471 (base 10) to base 12.\nAnswer: -2a4bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.3 - 0.3. Let y = 4 - d. Let v = y - -2. Which is the closest to 0.1? (a) v (b) 1 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*x + 4*x + 3*x)*(-3284*x**2 + 3283*x**2 - 6 - 57*x - x) to the form g + k*x**2 + h*x + p*x**3 and give h.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least as big as 3\/244724515?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 5, -1, 0 in increasing order.\nAnswer: -1, -0.3, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 3*v - 55 = 68, 2 = -2*v. Let m = 26 + w. Solve -3*h + 3*t - 19 = -h, 5*h = -m*t for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -626761 less than or equal to -626762?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-26)\/(-12) - 2) + (-36700)\/(-120). Calculate the highest common factor of 34 and k.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 7 + (-4 - 1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4812002973.\nAnswer: 3, 29, 18436793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 1086*f - 1374. What is the thousands digit of n(74)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(1584) - sqrt(44) - sqrt(44)) + sqrt(704) + sqrt(704)*-4 + sqrt(44))\/((-2*sqrt(144)\/sqrt(4))\/(-2*sqrt(1296))) + -5.\nAnswer: -84*sqrt(11) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3059 take away 6383?\nAnswer: -3324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -100*g - 113. Does 12 divide s(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:27 AM and 12:55 PM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6564 - 8592 = -18*y. What are the prime factors of y?\nAnswer: 2, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 8 = 4*x. Let f(s) = -s**2 - 36*s - 72. Let z be f(-25). Let d = -201 + z. Sort 0, d, x in decreasing order.\nAnswer: d, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30941.33521 rounded to the nearest 10?\nAnswer: 30940","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h - 13 + 34 = t, 5*h - 25 = -5*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79*n + 93*n = -140 for n.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zdl when three letters picked without replacement from znlztnnnndnndn?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 25660\/(-47) + 44\/(-1034). Is w at least -2734\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 95 and 33483490?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2 + 3)\/(2 - 1). Let w(h) = 4*h**2 - 4*h - 7. Suppose -22*b + 3*b + 304 = 0. Calculate the remainder when w(c) is divided by b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1860 and 436.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*b - 190759 + 188356 = -28*b for b.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 160 + 2631?\nAnswer: 3121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/2813754 and 71\/194052.\nAnswer: 5627508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 4, 32 in decreasing order.\nAnswer: 32, 4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 53935.94 hours to milliseconds.\nAnswer: 194169384000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 151 = 4*k - 4*b - 261, -3*k - 4*b + 302 = 0. Suppose 318 = 7*j - k. What is the tens digit of ((-24)\/j)\/((-2)\/305)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1558894239.\nAnswer: 3, 7, 24744353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**3 - 119902*g**2 - 3835328*g - 30678528.\nAnswer: -2*(g + 16)**2*(g + 59919)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (11*h - 6*h**3 - 11*h)*(4 - 4 - 4) + h**3 + 3*h**3 - 3*h**3 - 2*h to c*h**3 + b*h**2 + i*h + o and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10 + 24. Suppose 5*y + 27*g = 29*g + 76, 4*g = 3*y - 12. Solve -c*p - y = -9*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12830*q**3 + 142*q**2 + 1264411*q?\nAnswer: 76980*q + 284","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve f - 43 + 78 = -4*a + 6*f + 95, -4*a = -2*f - 72 for a.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 137\/897?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*x + 65*x = 8*f - 268, -x = 2*f - 64 for f.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-56) + (76\/63)\/4\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the first derivative of -a**6\/120 - 3*a**5\/40 + 2*a**3\/3 + 5. Let y(w) be the third derivative of f(w). What is the second derivative of y(o) wrt o?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*h**4\/23 + 14*h**3\/23 - 30*h**2\/23 + 26*h\/23 - 8\/23 = 0. Calculate h.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3 - 6) + 2 - 1. Let w = o + 10. Let t(v) = 7*v - 2. Give t(w).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4796*n - 101*n**2 - 4796*n + (-6*n + 4*n - 5*n)*(2*n + n - 6*n).\nAnswer: -80*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 4*y - 2*y - 3*y - 3. Suppose d - 4 = -3*d. Let g = d + -4. Determine j(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*g**4 - 34*g**2 + 2*g**4 - g**4 + 4*g**3 + 32*g**2 + 3*g to j*g + k*g**4 + s + x*g**3 + r*g**2 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1*2\/((-28)\/7))\/((-6)\/(-4)). Which is smaller: 94 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q, 5*o + 0*q = q + 840. Let w = o + -79. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-43)\/14)\/((-6)\/(-7)) and -91\/18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - 2. Let n be 6\/((3\/(-2))\/k). Suppose 4*w + 5*f - 7 - 8 = 0, w = -f + n. Solve 0 = -w*i - 13 + 33 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 <= 1342?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 106*x + 5. Let n be g(-5). Find the common denominator of (-997)\/220 + n\/77 + 7 and 1706\/540 - 6\/15.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence py when two letters picked without replacement from pyyyyaypp?\nAnswer: 5\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000056368 to seven dps.\nAnswer: 0.0000564","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -14*c, -4*m - 4*c = 656 - 672 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -401*p + 63355. Let r be m(158). Let z = 7 - 4. Which is the biggest value? (a) -2 (b) r (c) z (d) 3.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7409496*y**2 - 1095*y + 1905.\nAnswer: -14818992","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve n = -15*g + 86, -26 + 44 = 5*g + 2*n + n for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from hhvqqqvvdkkvqvhqq.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2\/7 - 476\/(-49).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 9 + -26414c?\nAnswer: -264143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -365.48 to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 176\/64 + (-24)\/32. Solve -w*p - 11*x = -10*x + 1, 2*p = -3*x - 7 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.02 + 8.88. Round j to the nearest integer.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b + 8. Let t be h(-6). Suppose -2*g - 5*m - 3 = 0, 5*g = 4*m - 22 - t. Let i be (-3)\/((9\/g)\/(-3)). Put i, 0, -2\/7 in ascending order.\nAnswer: i, -2\/7, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001619 to five decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 75 and 38553825?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**2 - 12*l - 11. Let o be a(13). List the prime factors of (o - 27)*24\/(-15).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - (-5 - -5)) + 0 + (-4 - 7).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 12\/(-126)*(-58)\/(-10). Let h = -2\/105 + s. Suppose i + 12 = 5*i. Which is the nearest to 1\/3? (a) h (b) 1\/8 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5130040263910.2299982 - 5130040934722. Let y = a - -670812. Let c = y - 0.23. What is c rounded to 6 dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*b**2 - b**2 - 59*b**2.\nAnswer: -62*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 4*p = -94, -2*p = -3*k - 24 - 32. Does 9 divide (-3146)\/k - (-24)\/(-324)*-3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 2*t**3 + 11*t**2 - 3*t + 10. Let u(k) = -2*k**3 - 12*k**2 + 3*k - 9. Let z(l) = -2*g(l) - 3*u(l). What is the remainder when 72 is divided by z(-7)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -111*b - 2102. Let v be g(-19). Solve -v*f + 20 = -3*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s - 1. Let g(v) = -183*v - 1 - v**2 - 1 + 180*v. Suppose -3*y + 4*y = 5. Suppose -6*l + l = -y. Determine l*g(m) - 3*r(m).\nAnswer: -m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (644\/253)\/((-2)\/(-11)) + 15.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (918\/6885)\/((-2)\/(-20)*-1).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4128, 4138, 4162, 4206, 4276, 4378?\nAnswer: 4518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 21*r + 22*r - 2594*r**2 + 18*r + 2 - 61*r as m*r**2 + d + y*r and give m.\nAnswer: -2594","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**3 - 6*k**2 - k + 5. Let m = 48 + -54. Let u = m - -12. Give z(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.98 - 3.9. What is the third biggest value in 2, p, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n - 4*t + 156, -3*t = -0*t. Let g(z) = z**2 + 2*z + 6. Let l be g(-9). Suppose 5*f - l = 6. Calculate the remainder when n is divided by f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**2 - 1. Suppose 0 = -g + 2*g + 5. Let t(i) = -6*i**2 + i - 6. Suppose -1 = 3*u - 2*l, -2*l - 2 = -4*u - l. Determine g*v(d) + u*t(d).\nAnswer: -d**2 + d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 132 and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 2*z**2 + 2*z - 1. Let k be j(1). Suppose 0 = m + 3 - 11. Suppose -110 = -m*q + k*q. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2512, 2501, 2478, 2437, 2372, 2277, 2146, 1973?\nAnswer: 1752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12200 (base 4) to base 13.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14449 - 14512 + 28961 + 1324*u.\nAnswer: 1324*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3 - ((-8)\/(-4))\/(8\/(-12)). Suppose -28 = -4*n + 2*s, 3*s - 4 = -4*n + 4. Suppose 3*t + 6*u - 2*u = l, u = n*t. Is t at most as big as -3\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 15165, 30223, 45269, 60297, 75301?\n\"Answer: -h**3 + 15065*h + 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s + 50. Determine m(11).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 1*sqrt(1539)*2 + 1 + 4 + sqrt(304))**2.\nAnswer: 308*sqrt(19) + 9245","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6350 + 6365. Let g be ((-2)\/(-6))\/(1\/6). What is the remainder when 263\/9 + g\/(-9) is divided by w?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 990 is divided by 156.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6294 is divided by 6276.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -23 - -26. Suppose 2*m + 45 = 5*f, 2*f - 2*m + m - 19 = 0. List the prime factors of f - 1*3\/i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -9886*b + 108721. Calculate w(11).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 65*w - 11. Let m be f(8). Let o(n) = -509 + 3*n**2 + m. Let v(k) = k**2. Calculate o(v(r)).\nAnswer: 3*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -118 (b) 0.5 (c) 110 (d) 47\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*r = -17*r - 12. Is 17\/68 + 3687\/r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 344115 (base 6) to base 16.\nAnswer: 72ef","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-2 + (1*sqrt(2) - sqrt(2)) - -1*-2*sqrt(2))*2.\nAnswer: -4*sqrt(2) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0*-272\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -537742 (base 9) to base 5\nAnswer: -40230021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:24 PM and 6:14 PM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 5*w**2 + 3*w. Suppose k = 2*k - 5. Let f(b) = 7*b + 2*b**2 + 4*b**2 + k*b**2. Suppose 2*x - 5 = 2*m + m, -23 = -5*x + 4*m. Give x*s(g) - 3*f(g).\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13947171?\nAnswer: 3, 7, 664151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 4*z**3 - 4*z**2 + z + 0*z**3 + 2*z**3 + 2 + z**3. Let o be n(2). Suppose -o = -3*b + 4*w, 2*w - 19 = -3*b + w. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(2 + (sqrt(720) + -1 + (sqrt(240)\/sqrt(4))\/sqrt(12) - (5 + (sqrt(5) - (sqrt(5) - sqrt(5)*1)) + sqrt(25)\/sqrt(5) + -5)**2)).\nAnswer: -19 + 13*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25700 = 1159*q + 5997 for q.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*h + 16*h + 80*h**2 + 54*h + 51*h**2.\nAnswer: 131*h**2 + 61*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*b + 3*b + 5*b + (b + b - b)*(1 - 3 + 0) + 25 - 2*b - 25 in the form h*b + p and give h.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m + m + m)*(-3 + 0 - 5) + (-28*m - 63 + 63 + m + 3*m - 5*m + (2*m + 1 - 1)*(-4 + 3 + 3) - m + 0*m + 2*m - 3*m + 0*m + 5*m)*(3 - 4 - 1).\nAnswer: 28*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001737099 to six dps.\nAnswer: 0.000174","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*f + 2058 + 7223 = -1759. List the prime factors of f.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6 - 648d?\nAnswer: -6495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**3 - 31*g**2 + 83*g + 57. What is s(28)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*x**3 + 1216*x**2 - 58688*x + 777728.\nAnswer: -4*(x - 248)*(x - 28)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 5*t**3 + 3*t**2 + 4*t - 17. Let z(v) = 3*v**3 + v**2 + 2*v - 9. Let n = -9 - -16. Let q(j) = n*z(j) - 4*b(j). Calculate q(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 - 3. What is the third derivative of y*q**5 - 2*q**5 + 3*q**5 + 2*q**5 - 4*q**2 wrt q?\nAnswer: 300*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 + -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 40*t**4 - 2 - 14*t**4 - 25*t**4 - 20*t**4 + 2*t**3 as l + m*t**3 + r*t + g*t**2 + k*t**4 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -3, 6 in descending order.\nAnswer: 6, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3722 is divided by (-132)\/(-1980) + 4858\/30?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the third derivative of -b**8\/210 + b**7\/75 - b**6\/150 - b**5\/150 + 71*b**2. Factor x(z).\nAnswer: -2*z**2*(z - 1)**2*(4*z + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2832\/(-2360)*(-5)\/57\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 5*l**2 - 8*l + 7. Let u(p) = -p**2 + 4*p + 58. Let a be u(0). Let i = a + -63. What are the prime factors of b(i)?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t - 3. Let m be u(-6). Suppose 27 = 5*y + 12. Suppose -m*v + y = -12. Solve -25 + 5 = v*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:18 PM and 1:59 PM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1 (b) 1\/32 (c) 4 (d) 136 (e) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*j**3 - 31*j**3 + 52*j**3.\nAnswer: -10*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + (-13 - -12))*-34.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.015 (b) -5\/2 (c) 2\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 0.2 (b) 5 (c) -24025 (d) 2\/5 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - (-64)\/36)*3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1258 is divided by 79?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 1140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of ((-12)\/42)\/(4\/(-336)) and 96?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 100 a factor of 41000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2297397?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5006 + -4996. Solve -5*r = 2*y + 3*y - k, -12 = -3*r - 5*y for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-34)\/((-41616)\/(-180))*(-8)\/(-10).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnnn when four letters picked without replacement from nnnnnnnnnn.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 2 - 10 + 3 + 287471*b**3 - 287584*b**3.\nAnswer: -113*b**3 - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 18202441*h**2 + 300273437*h?\nAnswer: 36404882","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -15432 (base 7) to base 8\nAnswer: -10357","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-25*2\/(-8))\/(116\/((-70992)\/(-765)))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11 - 7. Let g(i) = i**2 - 7*i + 16. Let k(p) = p**3 - 3*p**2 - p - 5. Let u be k(4). Let l be g(u). What is the greatest common factor of d and l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*z + 15762 + 9424 = 0. Does 58 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/((-2)\/3))\/(33\/(-2)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**3 - 12*l**2 - 9*l + 10. Calculate c(-11).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3709 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of n*y**3 - 146*n*y + 154407*n + 275*y**3 + 19979*y**2 wrt y.\nAnswer: 6*n*y + 1650*y + 39958","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**3 - 178*y**2 - 10*y. Let q(f) = f**3 + 119*f**2 + 7*f. Determine -7*q(d) - 5*r(d).\nAnswer: -2*d**3 + 57*d**2 + d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 53422.25 nanoseconds to seconds.\nAnswer: 0.00005342225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7821*w + 7052 + 66896 = -51188 for w.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1301*h + 423*h + 144840 = -316*h for h.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 4*s - 23 = 0, 7 + 3 = h - s. Solve -d = 5*w - 20, 4 = -d + h for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-4)\/(k*k**7) assuming k is positive.\nAnswer: k**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -1050*j + 1468. What is the thousands digit of k(-8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -267*o - 15 = -264*o. Put o, 2, -178 in descending order.\nAnswer: 2, o, -178","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -m - m - 10, -3*p - 2*m = 1 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3\/932 + 24913\/5592. Calculate the common denominator of x and -41\/9.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 126355?\nAnswer: 5, 37, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 62, 38, -42, -208, -490, -918?\nAnswer: -1522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24 and 20100.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/4 of a litre?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.721564 rounded to 1 dp?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*w - 26. Let i(o) = -o - 6. Let g be i(9). Let c be 5\/g - (-34)\/(-6). Let u(n) = 2*n + 7. Let m(t) = -t - 4. Give c*u(b) + w*m(b).\nAnswer: -b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -488, -1925, -4320, -7673, -11984, -17253, -23480?\nAnswer: -30665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2723*d + 2704*d + 38 = 0. Solve n = 3*i - n - 19, 4*i = -2*n + d for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 88\/1299123 and 86\/2499?\nAnswer: 9093861","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -614 = -14*m - 16*m + 106 for m.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*p - 14*p + 132. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n + 5*k + 2975, 4*n - 3*k - 13683 = -1783. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, u: 1, b: 1, a: 2, v: 2, g: 1}. What is prob of sequence vv?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -859\/3 + 287. Sort w, -2\/7, 0.1, 0.2 in ascending order.\nAnswer: -2\/7, 0.1, 0.2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1181 - -1180.9999374. What is p rounded to five dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -725400 to the nearest 100000.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 37732027*i**3 - 15*i - 17174 wrt i.\nAnswer: 226392162*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17688 + -17687.86. Which is the closest to -2\/7? (a) 3\/4 (b) -2 (c) j (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-240)\/(-80)*(-21)\/(-399).\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-15)\/6)\/((-4)\/8). Suppose p = -5*l - 0. Let v = -31 + 31.4. Which is the nearest to l? (a) 0 (b) v (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3626220 divided by -4\nAnswer: -906555","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3 + 228*(-3)\/((-54)\/78)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 76 and 1007?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6071 + -321687\/53. Let d = h - 3259\/2014. Let p = 169\/114 - d. Is 2 <= p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4662 and 98?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*x**4\/15 + 6*x**3\/5 - 58*x**2\/15 + 26*x\/5 - 12\/5 = 0. Calculate x.\nAnswer: 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6498.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 162? (a) 69 (b) -2\/3 (c) -2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the second derivative of v**3\/3 - 161*v - 1. Let j(n) = -57*n - 11. What is j(q(x))?\nAnswer: -114*x - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.6 in -2797, -3\/5, 0, -3, -1\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - -23) + (-9 - (4 + -6)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1058344 and 9912?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -2*x**2 + 7*x + 28. Let d be y(8). Find the common denominator of 73\/6 and (-35)\/d*(7 + -1).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f = -9*k - 39, -4*f - 15 = f + k for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*(j\/(j**(1\/20)\/j))\/j*j)\/(j\/j**(1\/6)*j))\/(j\/j**(-21)*j*j)**44)**(2\/27) assuming j is positive.\nAnswer: j**(-63293\/810)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - 14 - (-1 - (-1 - (0 + -2))).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.021517754 to 5 decimal places.\nAnswer: -0.02152","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (6*-3)\/(5\/15*6)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(56)\/(sqrt(16)\/(sqrt(8)*-2)).\nAnswer: -4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (43*p**2 + 48*p**3 - 43*p**2 + 79*p**3)*((p - 1 + 1)*(0 + 4 - 2) + 0 + 0 + p - 3*p + 2*p + 2*p) to d*p**3 + z*p + i + o*p**4 + u*p**2 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 + 35. Suppose -58*j + 91 = 2*v - 53*j, v + 2*j - 49 = 0. What is the least common multiple of v and t?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 65*z**2 - 21*z**2 - 1510 - 9*z**3 + 13*z**3 + 78 wrt z.\nAnswer: 12*z**2 + 88*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 584*c**5 - 506*c**5 + 355*c**2 - 112*c**2 - 4*c**6 wrt c.\nAnswer: -480*c**3 + 4680*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 divided by 45.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -2 * -47.889227\nAnswer: 95.778454","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 57 and 15789?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 538 - -947. Suppose -w = -j + 372, z = 4*j - 2*w - w. Calculate the greatest common factor of j and 41.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 6\/13, -1, -49?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -542*r = -355*r - 2805 for r.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1393 and 0.2.\nAnswer: -1392.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 82137, 164274, 246411, 328548?\n\"Answer: 82137*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 73*v + 3. Let d(q) = -24*q - 3. Let z(r) = 6*d(r) + 2*f(r). Calculate z(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 174, 191, 226, 285, 374, 499, 666, 881?\n\"Answer: j**3 + 3*j**2 + j + 169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o**2 - 4*o**2 + o**2)*(4*o - 2 + 0*o - 3*o - o**2).\nAnswer: 2*o**4 - 2*o**3 + 4*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**2 + 6*a - 12. Let g be v(-5). Let j = g - -26. Let w(h) = h**3 + h. Let z(r) = -10*r**2 + 10*r - 12. Let q(s) = w(s) + z(s). Determine q(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12221020120 + -12?\nAnswer: 12221020101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -200*s**2 - 8591 + 8591.\nAnswer: -200*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 2*i - y + 8 = 0, 2*i - 4 = 2*y. Let m(n) = n**2 + 143*n + 46. Let u be m(0). What is the highest common divisor of i and u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -10*c - 8. Give p(1).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(63\/(-14) + 5). Let d(k) = -6*k + 6. Let j(q) = -3*q + 3. Let m(z) = s*d(z) + 9*j(z). Let n(i) = i - 1. Determine m(p) + 5*n(p).\nAnswer: 2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 j when two letters picked without replacement from {j: 2, i: 1, p: 1, w: 4}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 51083?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1844182, 1844215, 1844298, 1844455, 1844710, 1845087, 1845610?\n\"Answer: 4*n**3 + n**2 + 2*n + 1844175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 25 = 13, -3*k = 5*y - 98. Calculate the remainder when 811 is divided by y.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61*h - 115*h + 165*h**2 + 54*h.\nAnswer: 165*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 486 or 98954\/203?\nAnswer: 486","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 + 31220332?\nAnswer: 31220332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16844248.472 + 107.\nAnswer: -16844141.472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 - 6.7. Let u = -25666\/3 + 8556. Which is the closest to -1? (a) u (b) l (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 w when two letters picked without replacement from {d: 1, i: 1, w: 5, t: 2}?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -36 - -36. Suppose 10 - 1 = -2*b + 5*s, -4*b + 24 = 4*s. Solve 3*o + c - b = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = 4*m + 30, 0 = 2*g - 4*m - 31882. What are the prime factors of g?\nAnswer: 3, 5, 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**3 - 11*f**2 + 2*f + 7. Let a(o) = -o**3 + 12*o**2 - 3*o - 6. Let k(u) = 3*a(u) + 4*g(u). Let x be (760\/285)\/(-3*2\/(-18)). What is k(x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/(-14) - (21702\/(-14))\/3. Let y = -47 - -94. Calculate the greatest common factor of g and y.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -364, -217, -74, 65, 200, 331, 458?\n\"Answer: -2*p**2 + 153*p - 515","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 8 - 217*d - 216*d - 208*d + 644*d. Let h(w) = 16*w. Determine h(g(y)).\nAnswer: 48*y + 128","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 115 + -45. Suppose -6*n = -8*n + j. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -221737\/90 + 12289\/5. Let y be (3420\/3)\/4 + 0. Find the common denominator of n and (4 - 1) + y\/(-18).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 - ((-1)\/9 + 657\/81).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9.7 - 18. Let q = 8.3000089 + g. What is q rounded to six dps?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2 + -14 - -3)*-135. Suppose -v = -4*t - 155. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = 2*z - 18, z + b = 4*b. Suppose -z*x + 4*x + 146 = 0. Suppose 2*h + 2*h = k - 29, -x = -5*k + 2*h. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.4 (b) -4 (c) 0.1 (d) -2\/9 (e) -14 (f) 11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, t: 4, f: 1}. What is prob of picking 2 z and 1 f?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7335?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5836873 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*m - 30*m = 2*v - 98, -m - 46 = 2*v. Suppose -2*y = 85 - 29. Let c = y - m. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 0*j = 24. Let c(v) = -v**2 + 6*v + 4. Calculate c(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.2 - -0.19999952. Round g to 7 decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*r = 5*y + 29*r - 105, -73 = -3*y - 5*r. Suppose 5*m - 2706 = y*m. Are m and 0.1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/2 + -2 + 159. Suppose 150*l - c*l + 548 = 0. List the prime factors of l.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 167*l**2 - 65 + 90 - 27 + (-2 + 2 + l)*(4*l + 2*l - 4*l).\nAnswer: 169*l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22756*a + 4 + 12174*a + 12202*a to s*a + h and give h.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-2 + 4 - -4) + (11 - -44078 - 6).\nAnswer: 44089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 88.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dfsdpssspfissf. What is prob of picking 1 i and 3 f?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7380 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 - 10 - (-1 - 0 - -14).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -66*a - 198. Calculate t(-8).\nAnswer: 330","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 32 + 42?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0 (b) -13.8 (c) 0.08 (d) -276\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = q + 18 + 16, 2*i - 5*q = 27. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1303, -1979, -2655, -3331, -4007?\n\"Answer: -676*v - 627","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1165 is divided by 55?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1439*o - 1509*o + 2167*o.\nAnswer: -781*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**2 + p. Let d(b) = -49*b**2 - 3*b - 2. Let g(w) = d(w) + 6*f(w). Let h be g(-6). Round h to the nearest ten thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2715 - 48707\/18. Let q be (-5)\/(-10) - 10\/1. Let r = q + l. Which is the second smallest value? (a) -1 (b) r (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 623278932?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(34) + sqrt(68)\/sqrt(2)*-5)\/(sqrt(20)\/(sqrt(10)*1))*1.\nAnswer: -4*sqrt(17) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -399, -802, -1205, -1608, -2011, -2414?\nAnswer: -2817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8415*d + 333 = -8378*d. Factor 3\/2*y**5 + d*y**3 + 0 + 3\/2*y - 6*y**2 - 6*y**4.\nAnswer: 3*y*(y - 1)**4\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 5*o**2 - 3*o + 4. Let h(b) = 16*b**2 - 10*b + 13. Determine -2*h(d) + 7*k(d).\nAnswer: 3*d**2 - d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(2\/5))**(26\/5))**37\/(u**(1\/7)\/u*u\/(u**(-4)*u))**(2\/35) assuming u is positive.\nAnswer: u**(94056\/1225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, d: 1, k: 2, n: 2}. What is prob of picking 1 d and 1 n?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 61 + -58.3. Let c = f - -5.3. Put 4, -5, c in ascending order.\nAnswer: -5, 4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.586 and -430.\nAnswer: -430.586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**2\/11 - 32432572*l\/11 - 259460704\/11.\nAnswer: 2*(l - 16216294)*(l + 8)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 44311291 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*w**2 + 3*w**2 - 7*w**2 + (3*w + w - 6*w)*(3*w - 4*w - w) - 39*w**2 + 4*w**2 - 12*w**2 in the form c + g*w + x*w**2 and give x.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 330432 (base 5) to base 11.\nAnswer: 85a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 - 16\/(-20))*-5. Let m = -0.2 + 0.2. Let q = m - -0.2. Which is the closest to q? (a) o (b) -2 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/(-5) - (-1449)\/(-805)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*d**3 + 16*d**3 - 19*d**3.\nAnswer: 14*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 181428 divided by -30238?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a millimeter in micrometers?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y. Determine k(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 672533509 a multiple of 98?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the third derivative of 13*t**5\/60 - t**4\/8 + 101*t**2. Let y(g) = 170*g**2 - 40*g. Let v = -446 - -449. Give v*y(u) - 40*w(u).\nAnswer: -10*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21) - 3*sqrt(21)*-1)\/((-2*sqrt(28))\/sqrt(4)).\nAnswer: -2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -1235.27609 to the nearest ten.\nAnswer: -1240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 2*l - l - 28 = 0, -x + 3*l = 22. Let s = -731.3 - -731. What is the closest to 1 in x, s, -0.4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 493\/9? (a) -2\/7 (b) 92 (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 17603 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u + 4*u. Suppose 2*c - r = r, u = -3*c + 2*r + 4. What is the remainder when c is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -78 - -331. What is the hundreds digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101 (base 3) to base 11.\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.1523 - -0.01026. Round p to three dps.\nAnswer: -0.142","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -49, -53, -71, -109, -173?\nAnswer: -269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 48786 and 564.\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3 + 5 + (-2)\/1. Suppose -l - 5*m + 5 = 0, 0 = -c*m + m + 1. Does 6 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 113\/3 + -39. Which is the third smallest value? (a) 3 (b) 5 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -40167*i**2*s - 2*i**2 + 2*s + 30388 wrt i.\nAnswer: -80334*i*s - 4*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -3*u**3 + 2*u**2 + 3*u + 1. Suppose 8 - 4 = -4*p. Let d be w(p). Find the second derivative of 0*n + 8*n + 10*n**3 + 15*n**3 - 8*n**d wrt n.\nAnswer: 102*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*f + 2313*o - 2317*o + 108 = 0, 0 = -f + 4*o + 36 for f.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -65 + 78. Let i be 2\/(-9 + -1) + 493\/(-85). Put -1\/8, i, q in increasing order.\nAnswer: i, -1\/8, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-3)\/(-2))\/((-1)\/(-2)). Let f = 2 - w. What is the remainder when 2 is divided by (-1)\/((-2)\/6) + f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 499 - 496 = 0. What is the remainder when 103 is divided by -2*(v + -12*1)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 104\/(-6)*(-12)\/16. Let n(s) = -m*s + 8*s + 3*s. Let r(d) = -23*d**2 - 1. Determine r(n(c)).\nAnswer: -92*c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*t = -1023 - 465. Solve 3*p = -5*a + t, a + 2*p = -3*a + 24 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 10.423203 months?\nAnswer: 0.86860025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -7*g**3 + 2*g**2 + g - 1. Give m(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14113*u - 14113*u - 133*u**2 + 74*u**2 - 157*u**2.\nAnswer: -216*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 20 + 30 = 0. Round r to the nearest ten.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 286355 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 260\/((2\/(-2))\/(-2)). Suppose -s + 141 = -t. Let l = 758 - t. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.618, -2\/5, -4\/15, 0.2, -69 in descending order.\nAnswer: 0.2, -4\/15, -2\/5, -0.618, -69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the second derivative of -3\/2*w**3 - 3\/2*w**2 + 11*w + 0. What is the first derivative of v(a) wrt a?\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (16 - 16) + 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*o - 57 = 117 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjj when three letters picked without replacement from jjj.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 4 = -8. Let w = 0.022 - 4.122. Let g = w - 0.9. What is the nearest to -2\/5 in t, g, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/9 + 8 - (-3)\/(30\/(-58))\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwww when four letters picked without replacement from wwwwwweewew?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3274 is divided by 63.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -2*c + 8. Let v be j(4). Suppose v = 8*g + 30 + 2. Let q be 0 + g + 92\/22. Is -1 greater than or equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the third derivative of 0 - 3\/560*s**7 + 11\/320*s**6 + 0*s + 9\/64*s**4 + 64*s**2 - 1\/8*s**3 - 3\/32*s**5. Suppose d(g) = 0. What is g?\nAnswer: 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 13*l**2 - 5*l. Suppose 1 = 6*t + 31. Let n(k) = 64*k**2 - 24*k. Determine t*n(r) + 24*f(r).\nAnswer: -8*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1901432 divided by 237679.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16453 - 3885. What is the hundreds digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 17455 + 20439 = 0. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((z\/(z\/(z\/(z*z\/z**(2\/9)*z*z*z*z))))\/z)\/z)**(-31)\/(z**(-2)\/((z*z**7)\/z*z)))**(-23) assuming z is positive.\nAnswer: z**(-45563\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*j + 12 + 56. Solve 0*l + 4*l + 5 = 5*v, -j*v + 3*l + 3 = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/7 (b) -4\/5 (c) 2\/35 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, 9, -22, 2 in increasing order.\nAnswer: -22, -4, 2, 3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 7}. What is prob of picking 2 u?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -2*v**5 + 3072*v**4 + 124892*v**3 + 1864512*v**2 + 12236022*v + 29871504 = 0.\nAnswer: -13, -9, 1576","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 22471 to the power of 1\/4, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 11323?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 78\/11? (a) 0.4 (b) 2\/3 (c) 130 (d) 29\/5 (e) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 244, 983, 2212, 3931, 6140?\nAnswer: 8839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.689 + -134.7?\nAnswer: -134.011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wa when two letters picked without replacement from {w: 6, a: 6}?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**3 - 4*l**2 - 2*l - 6. Let p be n(-4). Suppose -4*k + 646 - 114 = p*u, -2*u + 556 = -2*k. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(0 + sqrt(180) + -3 - (0 + 3*sqrt(180))).\nAnswer: -12*sqrt(5) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -547, -1291, -2029, -2761, -3487, -4207, -4921?\n\"Answer: 3*h**2 - 753*h + 203","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5 + 2 + 7)*(0 + 0 + 1) - 1 - 4 + 2)*(2 - 6 + 3 + (1 + 2 - 4)*(-3 + 5 - 1))*(-4*w - 4*w**2 + 4*w).\nAnswer: 8*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/3571162 and 94\/693.\nAnswer: 353545038","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0341*0.26549.\nAnswer: 0.009053209","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add together 8882723461 and -148.3.\nAnswer: 8882723312.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -2*x**2 + 19*x - 34. Give o(7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**3 + 25*f**2 + 40*f - 19. List the prime factors of j(16).\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 9*(169\/39 - 4). Find g such that 0 + 3\/7*g**2 + 0*g - 3\/7*g**w = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(78) + sqrt(78)*-4) - (sqrt(78) + sqrt(78)*1*6))\/(6*(sqrt(24)*2 + -5*sqrt(54))).\nAnswer: 2*sqrt(13)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 114 and 15?\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/4)\/(21\/(-84)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 0 + 1)*(4*o - 3*o + o) - 3 - o + 3)*(124*o**3 - o**4 + 26 - 123*o**3 - 11).\nAnswer: -o**5 + o**4 + 15*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 106630 = 6*x - 130556. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11 + -15. Let a = -82963 - -82958. Sort -17, d, a in ascending order.\nAnswer: -17, a, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -13, -133, -1\/6, 0.2?\nAnswer: -133","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3347\/3 - 1095. Find the common denominator of 74\/153 and l.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1020 + 201110?\nAnswer: 202130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2213 - 1059. What are the prime factors of t?\nAnswer: 2, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.36 * -45.9.\nAnswer: 16.524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(5) - (5 + sqrt(20)\/sqrt(4))) + 4 + -1)**2 + (3*sqrt(80)*-2 - ((sqrt(5) - sqrt(560)\/sqrt(7)) + -1))**2.\nAnswer: -42*sqrt(5) + 2215","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 369*p**2 + 2 + p**3 - 80*p**2 - 76*p**2 + p - 91*p**2 - 99*p**2 as y*p**3 + x + c*p**2 + u*p and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and 1.533.\nAnswer: 7.665","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -112200120 (base 4) to base 13\nAnswer: -32c61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -45\/2 + 5\/4*t**2 + 5\/4*t**4 - 105\/4*t + 25\/4*t**3 = 0?\nAnswer: -3, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**2\/2 + 89*a\/2 + 44.\nAnswer: (a + 1)*(a + 88)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -62*a + 64*a + 4 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 7 = 3*n, -2*i - 67 = 3*n - 77 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and 2\/529581 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ptptyylptmlp. Give prob of sequence tlp.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 825\/252086 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lll when three letters picked without replacement from lllll.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 93 - 88. Suppose -d*t - r + 1428 + 397 = 0, -t + 4*r = -344. Is t a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3974*g**4 + 1991*g**4 + 1987*g**4 + 58 + 2*g as h*g**3 + u*g + o + y*g**2 + m*g**4 and give o.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 77444.55 weeks?\nAnswer: 13010684.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 166702?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12*7*(-55)\/231.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 4*v**3 + 2724*v**2 + 618348*v + 46788332 = 0?\nAnswer: -227","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05 times -42?\nAnswer: -2.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 143*c**2 + 6. Let u(y) = -71*y**2 - 3. Give -3*o(s) - 5*u(s).\nAnswer: -74*s**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*v**5 + 3010578*v**4 + 1310*v**2 - 663*v wrt v?\nAnswer: 120*v**2 + 72253872*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -209*z + 560 = -139*z for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -367*j - 32020 + 386542. What is the smallest common multiple of 598 and j?\nAnswer: 12558","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2388872?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -25185 (base 13) in base 11?\nAnswer: -47419","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 108500*g**2 - 2*g - 4. Let c be u(-2). Round c to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 64*x**2 + 8 - 58*x**2 - x - 7 + (-x + 4 - 4)*(2*x + 0*x + 0*x).\nAnswer: 4*x**2 - x + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 - -8. Suppose 0 = -2*n + l, -8*n - 12 = -4*y - 4*n. Suppose -y*r - 2*h = h - 141, 0 = r + 5*h - 48. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) -2\/5 (c) 0.2 (d) 2 (e) -130 (f) 0.5607\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11114\/7 - -1588. Which is the fifth biggest value? (a) z (b) 1\/2 (c) -1\/4 (d) -11 (e) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l*l\/((l**(-23)\/l)\/l)*l*l)\/(l**(-9)\/l) assuming l is positive.\nAnswer: l**40","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-12)\/(-10))\/((-4)\/(-10)). Suppose -295 = -v*s + 41. Let u be ((-140)\/(-15))\/((36\/4)\/27). What is the highest common divisor of s and u?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -2*z**3 + 3*z**2 - 4*z + 2. Let c be g(2). Let w = 25 + c. Is w a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -247\/2 + 1564\/13. Calculate the common denominator of -38\/11 and x.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 4*x**2 + 2*x + 1. Give a(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -16*z. Let k(s) = s**3 - 5*s**2 + 2*s - 6. Let y be k(4). Is 14 a factor of l(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8 - (-2 - 0)) + -3 + 23 + 15\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -107\/4, 0.4, -1\/9, 16\/3835?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6554*j - 6616*j - 60 = -308. Let h(y) = 10*y**2 - 4*y + 6. Give h(j).\nAnswer: 150","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -235744 or -235942?\nAnswer: -235942","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -2*z**2 + 15*z - 3. Let v(o) = -o**2 + 9*o - 11. Let u be v(6). Let q be f(u). Suppose q*h = 3589 - 17189. What is h rounded to the nearest 1000?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7592 and 16936?\nAnswer: 584","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -103*a**2 + 39*a**2 + 98*a**2.\nAnswer: 34*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/((144\/160)\/((-6)\/5)). Suppose 0 = 4*n - j*s - 864, -5*n + 0*s = -s - 1064. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3 + 5\/(-2))*-16. List the prime factors of (4\/s)\/((-2)\/12).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -14 + -31?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5.32 or -616?\nAnswer: 5.32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-72)\/(-6))\/(-2)*6\/(-12).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (24 - 6526\/273)*133\/152?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2\/6 - (-12)\/(-9))*1. Let y(r) = -7*r**2 + 2*r + 3. Let m be y(-1). Let z = -8.05 - -8. Which is the closest to z? (a) m (b) v (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 14, h: 5}. What is prob of picking 3 n and 1 h?\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 3401 (base 5) to base 3\nAnswer: 122122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 4 + 0)*(7*g - 2*g + g)*(1618*g - 631*g + 637*g) as l*g + p + x*g**2 and give x.\nAnswer: 9744","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1800)*2)\/sqrt(6)*3.\nAnswer: 60*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 1)*(-1 + 1 + 2*v)*(3*v**2 + 4*v**2 - 3*v**2 + 2*v**2 + 3*v**2 - 2*v**2 + (2 - 4 + 3)*(-2*v + 2*v**2 + 2*v) + v - v + 5*v**2).\nAnswer: -28*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3163 by 5.\nAnswer: 3163\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, 5, -20, 0.4, 2 in increasing order.\nAnswer: -20, -1\/4, 0.4, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 25195665 and 18?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 83\/3 of a decade?\nAnswer: 3320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 31082, 62057, 93054, 124085, 155162?\nAnswer: 186297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 2*p**2 - 8*p - 9. Let z = 9 + -3. Let f be x(z). Factor -27*t - 23*t + 24 - t**2 - 53*t**2 + 14*t - f*t**3.\nAnswer: -3*(t + 2)**2*(5*t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of k**2*u**3 + 7919*k**2 + 48*u**3 - 3*u wrt u?\nAnswer: 3*k**2*u**2 + 144*u**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3258*l**6 + 3*l**5 + 187*l**3 + 10*l**2 + 106959*l wrt l?\nAnswer: -390960*l**3 + 180*l**2 + 1122","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.08 times 15\nAnswer: -1.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 129968, 130039, 130110?\n\"Answer: 71*d + 129897","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 1 m when three letters picked without replacement from {b: 2, m: 1, t: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 161998 is divided by 173?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-100)\/50)\/((-4)\/6). Let g(i) = 227 + 3*i**3 - 4*i**b + i**2 + 5*i - 451 + 222. Suppose 2*j - 12 = -2*j. Calculate g(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1960*f**3*g**2 - 203*f**2*g - f*g**2 - 5*g**2 wrt f.\nAnswer: -11760*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 69655 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -530 - -535. Which is the third smallest value? (a) 2\/11 (b) 0.034 (c) t (d) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -920*y - 2758. Determine u(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*q**3 + 3*q**2 + 5*q**3 + 62*q**2.\nAnswer: 17*q**3 + 65*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + 280 + 302 = 0. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 32\/2 + -3 + 2. Solve 4*v = -4*b, w = 3*v - 6*v for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-644)\/140)\/((-1)\/10) is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the third derivative of 3*o**8\/56 - o**5\/15 - 1643*o**4\/12 + 395*o**2. Find the second derivative of c(p) wrt p.\nAnswer: 360*p**3 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60478 is divided by 85.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -378\/11 or -34?\nAnswer: -378\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(119) - (sqrt(119) - (-3*(sqrt(119) + sqrt(119)*3) + sqrt(119) - sqrt(119) - sqrt(119))) - sqrt(119))\/(sqrt(448)*1).\nAnswer: -7*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 6*r**4\/7 + 267342*r**3\/7 + 3968868618*r**2\/7 + 19604816693514*r\/7 - 393686021013480\/7 = 0. What is r?\nAnswer: -14859, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 3*p - 0*p. Which is the closest to p? (a) 0.04 (b) 4\/5 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - b - 4*k = 16, 0 = -2*b - 3*k - 12. Let i = b + 6. What is the third derivative of 0*d**2 - 3*d**5 + 3*d**i + d**2 + 3*d**5 wrt d?\nAnswer: 360*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3943?\nAnswer: 3943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 7*z**3 - 5*z**2 - 4*z + 9. Let d(a) = 2*a**3 - a**2 - a + 2. Let r(q) = 5*d(q) - o(q). Calculate r(-2).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5714 rounded to 1 dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 25 - -4. Let n(k) = -v*k + 0 + 8 + 27*k. Let s(t) = 2*t - 9. Determine 6*n(a) + 5*s(a).\nAnswer: -2*a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4\/(-6) - 296\/(-111))*(-7)\/(-21). Which is smaller: r or -660\/13?\nAnswer: -660\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.5 in -3, -0.4, 24?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 360612?\nAnswer: 2, 3, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 18343177727 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 + 11*r**2 + 13)*(-4 + 0 + 3)*(-2 - 2*r + 2).\nAnswer: 22*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 6*t - 5*t + 1 + 0 - 3. Let v be i(6). Solve p - v*p = -15 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -3*i + 57, 0*i + 5*i = -3*u + 79. Solve 5*n + 4 = i for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jk when two letters picked without replacement from jjjjjkjk?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.304, -1\/4, 2\/19, 0.4?\nAnswer: -0.304","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8072 + -145295\/18. Let j(i) be the second derivative of 1\/36*i**4 - c*i**3 + 0*i**2 + 0 - 13*i. Factor j(v).\nAnswer: v*(v - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -103 + 102. Let n be (7 + -7)\/(u\/1). Solve -3*a = 12 - n for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*k + 3292 - 3362 = 0 for k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*x**4 + 30*x**3 - 40*x**2 - 480*x - 640 = 0. Calculate x.\nAnswer: -4, -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 4)*(-m - m + 3*m) - 3*m - m - 4*m + m + 2 - 2.\nAnswer: -5*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 221 and 130?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -88775588, -177551158, -266326728, -355102298, -443877868?\nAnswer: -532653438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**3 - 35*j**2 + 3*j - 33. Let b be n(35). Let r be 0 - (b\/30)\/((-2)\/(-5)). Let p(g) = -g**2 - 5*g + 15. Give p(r).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 33599405?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m + 0*m + 3*m**2 - 68*m**3 + 0*m + 67*m**3. Let s be ((-1)\/2)\/(8\/(-32)). Let d be y(s). Solve 5*h - 4 - d = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (40\/(-14))\/(((-3290)\/(-245))\/(-94))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 52900 and 1309300?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 553226969 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -12, 2 in decreasing order.\nAnswer: 3, 2, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 5 times -0.37\nAnswer: -1.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 3 = -2*z + 21, p + 11 = 5*z. Let g be ((-16)\/6)\/(p\/(-168)). Suppose -7*h = -14*h + g. Solve -2*a = -4*w + 4, -4*w - 8 = 5*a + h for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 171023*w + 171060*w - 6.\nAnswer: 37*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (135\/(-945) + 12\/(-14))*-115 - (13 - 5)?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**3 - 6*s**2 - 4*s + 20. Let r be d(-6). Calculate the greatest common factor of r and 308.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -187 - -267. What is the remainder when w is divided by 43?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 j when two letters picked without replacement from jrgrrigygygyir.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1830187?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.7, 3\/7, -1, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 - -3. Let u = -1 + m. Let i(v) = v**2 + 4*v + 5. Let c be i(-4). What is the biggest value in u, c, -5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -585169*v. Let w(a) = -8*a**2. Determine o(w(s)).\nAnswer: 4681352*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -110 - -118. Let h be 2\/d*4 + 1 + 0. Solve -2*s = -r + h, -1 = 3*r + 3*s + 2 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*-538.249\nAnswer: 161.4747","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 557?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is (-5)\/(-3)*(-90)\/350 + (-46486)\/(-14) a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and -1648737.\nAnswer: 494621.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 122, 1015, 3442, 8171, 15970?\nAnswer: 27607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2033 - -11?\nAnswer: -2022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the first derivative of b**3\/3 - 9*b + 10. Let l be c(3). Let y = 109 + -979\/9. Put l, 2\/11, y in descending order.\nAnswer: y, 2\/11, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/3)\/((-20712)\/(-36) - 11). Let p = m - 1699\/5079. What is the closest to 1 in p, -3, 8\/5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27287.\nAnswer: 13, 2099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*z - 15*z = -0*z - 112 for z.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**2 - 17*p - 55. What is the remainder when m(-9) is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 2*n - 6 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(2 + -4 + 4). Put y, -4, 1 in descending order.\nAnswer: 1, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -2*s**3 - 9*s**2 - 3*s - 4. Let y(l) be the second derivative of 3*l**5\/20 + 17*l**4\/12 + 5*l**3\/6 + 7*l**2\/2 - 86*l - 6. Give -7*n(m) - 4*y(m).\nAnswer: 2*m**3 - 5*m**2 + m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = n - 182*s + 181*s, -9*n + 43*s - 39*s - 63 = 0 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1539.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 167\/24210 and -75\/3766?\nAnswer: 169470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -450.8 + 450.9. Sort x, 60, 33 in increasing order.\nAnswer: x, 33, 60","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -127 = -3*m - y, 0 = -4*m - 0*y + 3*y + 178. Suppose 140 = 5*s + 5*i, 49 = 3*s + i - m. What is the greatest common divisor of s and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 2596?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -5*x + 9. Suppose 0 = -12*y + 8*y + x. Let t(u) = 5*u**3 + 3*u - 3. Let o(w) = -w**3 - w + 1. Let v(a) = -2*o(a) - t(a). Calculate v(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001119 to six dps.\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -g**4 - 346*g - 938 wrt g.\nAnswer: -4*g**3 - 346","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1077824 = -448*m + 1008064. What is the highest common divisor of m and 96?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2153 divided by 3?\nAnswer: -2153\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 4*h - 110, 10*l - 3*h = 12*l - 205. What is the remainder when 207 is divided by l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2893670085 and -255323.\nAnswer: 2893414762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 132, 427, 890, 1509, 2272?\nAnswer: 3167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6461597?\nAnswer: 23, 280939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x**5\/4 - 11*x**4\/4 + 351*x**3\/4 - 977*x**2\/4 + 475*x\/2 - 78 = 0 for x.\nAnswer: -26, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the third derivative of 3*l**2 + 0 + 0*l - 1\/12*l**4 + 0*l**3. Let r(u) = -u - 1. Let a(t) = -t + 5. Let g(o) = -a(o) - 5*r(o). Calculate g(c(y)).\nAnswer: -12*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 4 + 7 + -14 + -3\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 2*x**2 - 7*x. Let l(h) = -h + 98. Let v(u) = -3*u + 252. Let o(i) = 18*l(i) - 7*v(i). Give o(z(b)).\nAnswer: 6*b**2 - 21*b","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What is 8758.7 rounded to the nearest 100?\nAnswer: 8800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 2*k - 4 = 0. Let h be (4\/(-16))\/(3\/(-24)). Calculate the remainder when 41\/4 - h\/8 is divided by k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 83638500041400 and 4.\nAnswer: 83638500041404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 114 and 399.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 216 - 426. Let s = 210.0002 + r. Round s to five dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2645*c - 2626*c - 1 + 1.\nAnswer: 19*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.2 or -3\/38?\nAnswer: -3\/38","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0592316664 to four dps.\nAnswer: 0.0592","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes after 10:16 PM?\nAnswer: 2:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/(-24) - (-23550)\/16. Suppose g - 4 + 1 = 0, -k + y = -4*g. Suppose 0 = t - 4521 + k. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 487848857 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -20 - 19 + x + 46. Let f be (-2)\/(-4)*28*1\/(-2). Let t be c(f). Solve w + 2*g + 14 = t, -3*w - g = -5*w - 3 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/10, 0.09, 3.\nAnswer: 0.09, 1\/10, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 25792704 and 12896352.\nAnswer: 25792704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -16 - -4. Let x be ((-10)\/6)\/((-16)\/b). What is the closest to -2\/3 in x, -0.2, -4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 100 + -100.53. Let f = 0.26 - k. What is f rounded to 1 decimal place?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 2*a**3 + a**2 - a - 8. Calculate z(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-374)\/(-204))\/(3872\/(-1320))\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 94\/80 + 432\/(-540). Let v = -1\/49 + -85\/637. Which is the nearest to v? (a) -2\/5 (b) q (c) -7\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00002345 to 4 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 9510059 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 38536\/44 - 7\/((-770)\/20) and 12?\nAnswer: 876","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58795096?\nAnswer: 2, 31, 383, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) 1\/2 (c) -2\/187 (d) -3\/7 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1061, -137, -1333, -2527?\nAnswer: -3719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -25895\/89922 - -29\/12846. Let c = 1.9 + -2. What is the nearest to v in 1\/9, -1\/4, c?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 377 and 263055143.\nAnswer: 377","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j + 2*q - 29, 3*j + 5*q = 32 - 7. Solve -8 = 3*p + 2*v, v = -j*p - 4*v - 10 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the third derivative of 1\/6*l**3 - 1\/24*l**4 + 0*l + 0 - 36*l**2. Is 2 a factor of h(-16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2582, 5119, 7660, 10205, 12754, 15307?\n\"Answer: 2*l**2 + 2531*l + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4\/6 - (-480)\/36 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 + -100111?\nAnswer: -101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p - u - 0*u - 12, -u = 4*p - 16. Let c be 1*(-2 + (-3)\/(-1)). Put c, -2, -5, p in ascending order.\nAnswer: -5, -2, c, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y - h + 13, -7*y = -9*y - 5*h - 4. Suppose 5*t = z + 4626, 2*t + 938 = y*t + 3*z. List the prime factors of t.\nAnswer: 2, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*14 - ((-18)\/5)\/((-666)\/(-1850))?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 1. Let k(p) = 33*p + 71*p + 24*p + 16 - 25*p. Let u(x) = -k(x) + 4*z(x). What is the first derivative of u(d) wrt d?\nAnswer: -103","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 547947 is divided by 99.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in one fifth of a millennium?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*f**3 + 77*f**3 - 39*f**3 + 11*f**3.\nAnswer: 24*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (2*(sqrt(98) + 0 + 3))**2 - (sqrt(98) - ((sqrt(98) - ((2 + sqrt(98))**2 + sqrt(98) + 0)) + sqrt(98)) - (-5 + (sqrt(98) - -3*sqrt(98)))**2).\nAnswer: -140*sqrt(2) + 1921","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*j + 6109 = 18013. Let d = j - 381. Solve d*a - 4*a - 5 = -2*n, 17 = 5*n + 2*a for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 1. Let s(l) = 3*l + 21. Let v(r) = 42*o(r) - 2*s(r). Let f(p) = 3*p. Give f(v(h)).\nAnswer: -18*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/6*(-988)\/247?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7752 and 399?\nAnswer: 54264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 92229657 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4\/12*223 - (-2)\/(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - (211\/60 - 3)) + (-3444)\/(-140) + -24?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3559 (base 11) to base 10.\nAnswer: -4662","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-3)\/(-6) - 41\/(-2) is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:01 PM and 2:39 AM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**3 - 10*i**2 + 2*i - 14. Let p be w(10). What is the hundreds digit of (-1146)\/(-54)*p - (-1)\/(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**2 + 2*w + 4. Suppose -4*c - 3*g = 52, 4*c + g = -3*g - 48. Let f be 4\/c*(-11 + -1). Let h be t(f). Let x(u) = -u**2 + 2*u - 1. Calculate x(h).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 51*w + 2. Let c be b(3). Let q = c + -85. What is the remainder when -3 - ((-12)\/3 - q) is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*l + 29*l = 0. Suppose 0 = 4*t + w - 21, -1 = -w - l. Let o be -2*t\/15 + 62\/57. Which is greater: o or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7367?\nAnswer: 53, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*b**3\/2 + 21*b**2 - 42*b - 36.\nAnswer: 3*(b - 2)*(b + 6)*(3*b + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*d + 129 + 121 - 342 - 5*d + 112.\nAnswer: d + 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 7 + afe365?\nAnswer: afe36c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 49896335000 to the nearest 1000000.\nAnswer: 49896000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, i: 7, q: 3}. Give prob of picking 1 d and 2 q.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1 + sqrt(117))*-6 - sqrt(117)) + 6*sqrt(117)*2 + 2)**2 + (1*sqrt(208) + 2*sqrt(52)\/sqrt(4) - (-3 + (sqrt(117)*1 - sqrt(117)))**2).\nAnswer: 246*sqrt(13) + 2980","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 72 - 68. What is the greatest common factor of j and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 26\/(((-16)\/(8\/2))\/14). Is 13\/o - 226564\/(-14) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35006 + 0*v**2 - 35006 + 3*v**2.\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14 - -9. Let j be w + 6\/(-4)*-2. Let d = 6 + j. Solve 0 = d*g - 0*g - 8 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 555*h**2 + 45*h - 539. Is a(16) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 w when four letters picked without replacement from {q: 1, w: 7, u: 3, f: 2, n: 1}.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 5*o**3 - 5*o**2 + 10*o - 1. Let r(a) = 4*a**3 - 6*a**2 + 10*a - 2. Let f(m) = 4*d(m) - 6*r(m). Factor f(p).\nAnswer: -4*(p - 2)*(p - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/3, -6, -7867, 0.1, 0?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 255656 and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -397472*t + 397532*t - 1 - 208*t**2 + 4 wrt t.\nAnswer: -416","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18 - 0. What is the greatest common divisor of t and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10551? (a) -5 (b) -3 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 7*(-8)\/1*(-19)\/266\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5523272184 to the nearest integer?\nAnswer: 1768","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes after 2:30 AM?\nAnswer: 12:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -4\/129 and -49\/204402.\nAnswer: 8789286","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12138 and 221102?\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (284\/(-639))\/(6\/(-27)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(343))**2 + ((sqrt(7) + -1)*1)**2.\nAnswer: -2*sqrt(7) + 1380","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 2005 divide 126671049?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 201*z + 1014 = -19*z + 51*z for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12012753?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l when three letters picked without replacement from {l: 6, i: 6}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, a: 1, n: 2, d: 1, s: 2, l: 1}. What is prob of sequence dsw?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2808?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 69495\/589 + -3036\/31. Do 20 and f have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*j + 8*j - 8*j)*(-j + 5*j - j) + 133*j**2 - 69*j**2 + 199*j**2 + 110*j**2 - 14*j**2.\nAnswer: 401*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -34\/12612275 or 1?\nAnswer: -34\/12612275","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 5*g + 2. Let f(a) = 2*a + 1. Let u(t) = 9*f(t) - 4*y(t). Let z be u(-2). Sort z, -1, -4 in decreasing order.\nAnswer: z, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/15 of a century in months?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -113*g - 749. Let t be z(-7). Solve 28 = -14*i - t for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 45*c**6 - 21986*c**5*p - c**2*p + 3585*c*p - 2375*p wrt c.\nAnswer: 5400*c**3 - 1319160*c**2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (8\/(-32) - 2\/8)*-10. Solve 0 = -g + 2 - n for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 11) to base 4\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*((sqrt(2448) + 1)*6 - 2*sqrt(2448)*-3) - (-4 + (sqrt(2448) - (sqrt(2448) - 1*sqrt(2448))) + 3 + 0))*3)**2.\nAnswer: 382104*sqrt(17) + 81988641","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 7, -82210, -13?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + 20 = -4*n, -1301 = -5*a - 4*n - 1357 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -317 - 412 = -9*a. Let g = a - -2. Is g bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:17 AM and 12:29 PM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -145 + 175. Suppose j*k = 39*k - 7920. What is the greatest common factor of 80 and k?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/21 and -7\/1863.\nAnswer: 13041","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 + -6. Let a = 5 + q. Solve 10 = a*k, -2*h + 5*k - 8 - 15 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hzh when three letters picked without replacement from hhvhz?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f*(f**(-4\/9)*f*f*f)\/f*f))**(-20)\/((f*f*(f*f**(-1\/16)\/f)\/f*f*f)\/(f**(-22)*f*f)))**(-1\/2) assuming f is positive.\nAnswer: f**(-4057\/288)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**2 + 4*p - 1. Let t be h(3). Solve 2 + 0 = t*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 326*p - 127452 + 22099 - 186417. What is the smallest common multiple of p and 3?\nAnswer: 2685","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3*p**3 + 0)*((-4 - 2 + 5)*(2 + 4 - 5) + 2 - 3 + 2 - 1 - 5 + 4).\nAnswer: 6*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -23102123021 - -332?\nAnswer: -23102122023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 + 6 = m. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 15135 - -15?\nAnswer: 15154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 9, -2\/193, -13.\nAnswer: -13, -2\/193, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -47*-2.5\nAnswer: 117.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 4269 (base 11) to base 5\nAnswer: 140031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6310 - 6310. What is the second biggest value in a, 1\/2038, -2\/5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18017 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -106, -182, 124, 1172, 3322?\n\"Answer: 60*c**3 - 169*c**2 + 11*c - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -659 at least as big as -580?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(28))**2*2 - -1*(sqrt(7) + sqrt(49)\/sqrt(7))) + (0 + (sqrt(252) + 1 - sqrt(252) - sqrt(252)) - (sqrt(252) + -1)*-6).\nAnswer: 50 + 32*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1450 - 615. Let c = -835.0129 + p. Round c to 3 decimal places.\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 248415.\nAnswer: 3, 5, 16561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 16590 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -617? (a) 10 (b) -2 (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 22291, 179123, 604875, 1434007, 2800979?\n\"Answer: 22410*d**3 - 38*d - 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-18)\/(-15))\/((-1)\/5). Is 9 a factor of (-1065)\/(-45) - (-4)\/g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**3\/3 - 1334*l**2 + 4001*l\/3.\nAnswer: l*(l - 4001)*(l - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2\/33 and 2\/(-52)*(-3876)\/(-153)?\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-6))\/((-5)\/(-10)*(-4)\/6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8983 - (-15 - (0 + -1)) and 6?\nAnswer: 17994","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -2*k**2 + 4*k + 3. Let n be a(-1). Sort n, 5, -8 in descending order.\nAnswer: 5, n, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 + -10. Let n = -0.1 + 0.1. Let a = t + n. What is the second biggest value in a, -3, -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15 - -34. Suppose 0 = -31*w - 37 + 254. What is the smallest common multiple of w and i?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -205*m**3 + 287*m**3 - m**2 + 115 - 2*m + 440*m**3 - 115.\nAnswer: 522*m**3 - m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-4))\/(-5 + 46\/8)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-7)\/((-777)\/(-3))*(3 + (-42)\/6). What is the second smallest value in -1\/4, p, 15?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the first derivative of i**2\/2 + 3*i + 1. Suppose -2*t = -v - 8, -3*t + 9 = -3. Suppose 2*m - 5*m + 15 = v. What is y(m)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-46)\/805*(-3)\/(3\/(-20))\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2055 times 2?\nAnswer: 4110","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) 3 (c) 2 (d) 11\/21 (e) -20 (f) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 0*k = 2*j - 76, 156 = 4*j + 4*k. Let f be 24\/j + 7\/5. Suppose -11*h = -15*h + 16. Solve -a - 4 = -f*m, -3*a - 6 - 4 = -h*m for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (17118000\/81)\/((-2)\/(-600)). What is t rounded to the nearest 1000000?\nAnswer: 63000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 3 = 7. Let h be x\/(-5) + (-4)\/10. Suppose 0*c - 3*c + 15 = h. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1001 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2032 + 1024. Let f = -829 - h. Calculate the remainder when f is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/8*4 - -7. Suppose o*i - 277 = p, 0 = 2*p - 7*p - 10. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**3 - 16*x**2 - 1026*x - 50. Is o(51) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 < 151?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*a = 59*a - 5847. Suppose 859 + a = 18*h. Does 52 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -26 + 19. Let i = p + 11. What is the second derivative of 2*y**2 - 8*y**2 + 30*y + 6*y**2 + 27*y**i wrt y?\nAnswer: 324*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15 + 5*t - 97 - 2*t - 265 - 107 + 454.\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1736 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 1085 divide 225918636?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 11\/(-154)*(-7)\/138. Let i = f - 5867\/552. Find the common denominator of i and 35\/6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**3 + 4*x**2 - 3*x. Let n be 5\/3 - 1\/(-3). Let d be c(n). Let p be 2\/6*2 + 34 + (-95)\/3. Solve 2*r + d*r - 16 = -p*w, 4*w + 16 = 4*r for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 4\/7*d**2 + 0 + 4\/7*d = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (-12 + -10 - -19)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00004658 rounded to 5 decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.0687018 rounded to 2 dps?\nAnswer: -8.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes before 12:55 PM?\nAnswer: 8:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 2*h = 3*h, -5*h = -4*o. Find the common denominator of ((-1)\/6)\/(2\/226) and 1 + (106\/4 - o).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 + 2. Suppose 0 = -6*k + 10 + 20. Let o be ((-4)\/27)\/((15\/9)\/k). Which is bigger: o or x?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (30 - 27) + (-1 - 0)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 580309 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-36)\/16)\/(6\/(-16)). Let t be 6\/(-4)*(-148)\/6. Suppose -4*g + t = 13. What is the greatest common factor of j and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 114 + -572\/5. Let p = 148 + -154. What is the nearest to q in -0.4, 0.2, p?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 20 and 799464.\nAnswer: 15989280","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -4*1\/(-3)*3. Let b = -789\/2 + 393. What is the third biggest value in p, 1\/2, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 153\/80 + -125\/16. Find the common denominator of k and 17\/(-102)*62\/(-6).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -2\/3 (b) -0.5 (c) -3\/7 (d) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 5 - m)*(6*m**3 + 4*m**3 - 4*m**3) to a*m**2 + p + v*m + d*m**4 + y*m**3 and give d.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**3 - 7*c**2 - 5*c + 103. Determine l(7).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1, 4, 178, -2, -341 in ascending order.\nAnswer: -341, -2, -1, 4, 5, 178","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xum when three letters picked without replacement from urmqyxxqqqxx?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0, 4, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12 + 17. Suppose -2*f = c + 3*f + 5, 3*c - l*f - 85 = 0. Solve -2*x = 3*x + c for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 328 and 85377908?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13.7 - 17.7. What is the third smallest value in 7, y, -0.3?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - -1 - -3) + -9.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 282323?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 4*c + 11322 = 7*c, 5 = -5*c. Does 16 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4142043042 to the power of 1\/2, to the nearest integer?\nAnswer: 64359","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 93\/15032 and 10\/6615959.\nAnswer: 52927672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2\/155 + 161\/465. Let t = 52372.5 - 52373. Put -11, l, t, -0.3 in increasing order.\nAnswer: -11, t, -0.3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1076, -1593, -2196, -2885?\nAnswer: -3660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -57 + -73.77\nAnswer: -130.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y - 1 + 1)*(5 - 3 - 3) + 0*y - y - y + 2*y + y - y.\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 93 divide (126\/56)\/((-30)\/(-127720))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(70) + sqrt(70))\/sqrt(2) - (-1*sqrt(140) - sqrt(140)))\/(sqrt(35)\/(sqrt(7) - (sqrt(7) + 1*sqrt(700)))).\nAnswer: -40*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 475 + 791 = 0. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes before 5:09 PM?\nAnswer: 6:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (((sqrt(136) - -2*sqrt(136)) + sqrt(136) + sqrt(136) - sqrt(136))\/sqrt(8))**2.\nAnswer: 272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -51, -3, 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 227 divide 35866?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3050204\/165 - -18486. Find the common denominator of 121\/870 and d.\nAnswer: 9570","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the second derivative of 0*k**4 + k**2 + 7*k + 0 - 1\/3*k**3 + 17\/4*k**5. Is f(1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 13913*o. Let n(d) = -d**2 + 1043. Determine v(n(l)).\nAnswer: -13913*l**2 + 14511259","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 2, -1, -0.11?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9212 and 8477.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 3*f - 1 = 0, -9*a - 3*f + 878 = -4*f + 841 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (884\/7735)\/((-2)\/15).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -5*(-1)\/3 - 1. What is the nearest to -0.5 in 3\/4, -0.3, o, -2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -2*t**3 + 17*t**2 + 103*t - 719. Calculate j(10).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -b + 79572?\nAnswer: 79564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 613, 2131, 4771, 8539, 13441, 19483, 26671, 35011?\n\"Answer: j**3 + 555*j**2 - 154*j + 211","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1348189 is divided by 2357.\nAnswer: 2342","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1328991?\nAnswer: 3, 442997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 + 7. Let l = 37 + -91. Is ((-3)\/3 - l) + z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, y: 2, r: 2, j: 1}. What is prob of picking 2 y?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5\/4 in 21, -0.1, -3\/797, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000300105749 to 7 decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 472 = -3*j. Suppose j*g - 54*g + 3*a = 5262, 2*g + a = 2105. What are the prime factors of g?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9055 by 7247.\nAnswer: 9055\/7247","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes before 10:17 AM?\nAnswer: 9:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-16)*(-2)\/(-6). Let h be (0\/1)\/2*-1. Is h greater than or equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*p - 3*p + 2*p + (-3 + 4 - 2)*(0 - 2*p + 0) - 11*p + 150 - 150 + (4 + 1 - 2)*(5 - 5 + 2*p) as v + j*p and give j.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 - 2038.\nAnswer: -2036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5836723651.\nAnswer: 11, 173, 17729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 4*u**2 + 4. Suppose q - 5 = 4*v - 0*q, 5*q + 9 = 3*v. Let i(n) = 32*n**2 + 29*n**2 + 21 + n + 23*n**2 - 63*n**2. Give v*i(d) + 11*g(d).\nAnswer: 2*d**2 - 2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i**5 - 12*i**4 - 7704*i**3 + 127528*i**2 + 278100*i + 142884 = 0.\nAnswer: -49, -1, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 96786180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 243 - -147690?\nAnswer: 147913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -7751308, -7751307, -7751308, -7751311?\n\"Answer: -u**2 + 4*u - 7751311","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 p when four letters picked without replacement from {u: 7, p: 9}.\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 947917148?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10010010101011111011110101010 + 100?\nAnswer: -10010010101011111011110100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -38 - -22. Let s = -29 - o. Let d = 21 - s. Is 15 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 213*c**2 + 4*c + 4. Let x(d) = 107*d**2 + 2*d + 2. Determine 4*n(k) - 9*x(k).\nAnswer: -111*k**2 - 2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*i + 7 + 65 = 0. Let h(n) = -11*n - 1 + i*n + 0 + 4*n. Give h(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 23 = 4*u, -5*u - 19 = -5*b + 81. Suppose b*c = 17*c + 328. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 0 = -4*g. Let y = -0.49 - -27.49. Let p = 26 - y. Which is the nearest to -0.1? (a) p (b) g (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the first derivative of u**3\/3 - 5*u**2\/2 - 4*u + 16. Calculate d(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-15)\/18 - 295\/(-390). Which is the nearest to j? (a) -2 (b) -0.1 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 25*j - 24*j - 1, 2*a + 3*j + 2487 = 0. Is -1244 at most as big as a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -22*i + 17*i + 5*s - 35, 4*i + 25 = 5*s. Sort 3, 82, i in descending order.\nAnswer: 82, 3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.01*-112816791.\nAnswer: -1128167.91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.2 - 10.2. Let d = -7 - k. Sort d, 4, 0.2.\nAnswer: 0.2, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8520?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 279 - 270 = 5*c - 4*f, 12*c + 3*f = 9 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -407, -559, -701, -827, -931, -1007, -1049?\n\"Answer: f**3 - f**2 - 156*f - 251","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the second derivative of -m**5\/60 + 5*m**2\/2 - 4*m. Let i(c) be the first derivative of s(c). Let u(b) = -8*b + 3*b + 4*b. Calculate i(u(z)).\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 249716 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 17944*a + 897201. Determine d(-50).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 5*f - 18 = 0, -r = r - 3*f + 8. Suppose 0 = -r*g + 4*g - 8. Suppose 78 = g*j - 706. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 120 - -21?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 1120 = 4*b. Round b to the nearest one hundred.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 11 = -8, 2*w - 1247 = -3*m. What is the remainder when w is divided by 156?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 138697\/30285585 + 2\/46665. Let n = q + -25\/18172. Which is smaller: 1 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1095 and 75.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3681909 and 6272882?\nAnswer: 169367814","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 344*g - 1923. Is 21 a factor of n(12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-19640 + 0)*(-32)\/40. Let s = p - 10869. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 82 - 79 - 3*l + l. Let z(c) be the first derivative of -c**3\/3 - 3. Give a(z(p)).\nAnswer: 2*p**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 4*t + 1989, -5*k + 41*t = 44*t - 9945. Is 13 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(3\/14))**(1\/5)*((((i*i**(2\/5))\/i)\/i)\/i)\/i*i**(-4)*i assuming i is positive.\nAnswer: i**(-389\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -11*n**3*p**2 - 1254*n**3*p - 3*n**3 + 8920*n**2 + 2*n - 2*p - 4 wrt p.\nAnswer: -22*n**3*p - 1254*n**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 2*a**3 - a**2 - 3*a - 13. Suppose -o + 6*o - 45 = 0. What is the remainder when r(3) is divided by o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s\/s**6*s*s)**(1\/58)\/(s**(1\/4)*s*s**1) assuming s is positive.\nAnswer: s**(-265\/116)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -20*q**4 - 111*q**2 + 174 + 6*q**4 + 120*q**2 + 87*q**3 - 267*q + 11*q**4 = 0.\nAnswer: -2, 1, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 3*a - 30285 = 0, 0 = 4*r - 5*a + 2*a - 30291. Suppose -4*v - 3*w - r = 0, 3*v + 15*w - 14*w + 5674 = 0. What is v rounded to the nearest 100?\nAnswer: -1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2361 and 1145.3.\nAnswer: -2704053.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-16)\/(-14)*35\/10. Let f be z\/(-14) + 360\/84. Let q = 66 + f. What is the tens digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18335, -36627, -54923, -73223?\nAnswer: -91527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*x + 3*x + 5*l - 19, -5*l + 16 = 2*x. Let q(u) be the second derivative of 0 - u + 1\/6*u**x - u**2. Calculate q(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 5*v - 10. Let z be c(4). Suppose 0 = 7*y - 2*y + z, -d + 3*y = -16. Suppose -8*r + 3*r + d = 3*x, 5*x - 5*r - 30 = 0. Solve 0*m + x*m + 10 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 - 2 + (2 + 2 - 5)*(3 - 6 + 1) + 4 - 1 - 5)*(-7 - 6*d**2 + 7).\nAnswer: 6*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**3 + 10*l**2 + 2. Let o be g(10). Let k be 8\/12 + o - (-3)\/9. Solve 3*s + k = -3 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rlllrwlwwlwlllllrlll. What is prob of picking 1 w and 2 r?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwffwfwffwfw. Give prob of picking 2 w.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one tenth of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -6*x + 25. Suppose x*a - 2*k = 33 - 91, 5*a + 3*k + 38 = 0. Let p be (-152)\/a + 4\/(-20). Calculate the highest common factor of 3 and p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -65*u**3 + 3*u + 52*u**3 - 3*u.\nAnswer: -13*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -568, -1082, -1556, -1972, -2312?\n\"Answer: 3*a**3 + 2*a**2 - 541*a - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1))**(-2\/107)\/(l**(2\/7))**(-8\/7) assuming l is positive.\nAnswer: l**(1810\/5243)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -533 - -520. Put 0, -2, i in ascending order.\nAnswer: i, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1015483402?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 733489764 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-268)\/24 + 0 + 1 and -39\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-4\/9))**(-3\/4)\/(o\/o**11*o*(o\/o**4)\/o) assuming o is positive.\nAnswer: o**(40\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*f - 0*f. Suppose -3*m + 2*m + 22 = 4*o, -o = -4*m + f. What is the remainder when m is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7062 is divided by 5111?\nAnswer: 1951","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the third derivative of 0*p + 1\/1050*p**7 + 19*p**2 + 0 + 1\/30*p**4 - 7\/300*p**5 + 0*p**3 + 1\/300*p**6. Factor b(f).\nAnswer: f*(f - 1)**2*(f + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -507876\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 93.70275 nanograms to tonnes.\nAnswer: 0.00000000000009370275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 127 + -119. Let i(d) = 5*d - 35. Give i(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 2 + sqrt(19) + -4.\nAnswer: sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 1 + 2 + t - 6*t. Suppose 7*q + 5*u + 11 = 5*q, -4*u = 2*q + 6. Let f(v) = 8*v + 19 - 15 - 7*v - q*v. Give 5*d(z) - 4*f(z).\nAnswer: -z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 407157 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 2016, 0 in increasing order.\nAnswer: 0, 2, 2016","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 28*u**2 - 79*u + 2047. Is p(47) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*z + 0*z + z + z - z + z + (-z + 6*z - 3*z)*(-3 - 1 - 1).\nAnswer: -11*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -129 - 14*f - 4*f**2 + 220 - 102. Give g(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(135)*1)\/sqrt(5).\nAnswer: 1 + 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 4 = 9*o - 13*o, -3*t = 0. Sort 1, -9, o, 3 in ascending order.\nAnswer: -9, o, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t and 1 e when four letters picked without replacement from eteeieeekttttteeitte?\nAnswer: 168\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -2878.28 to the nearest 10.\nAnswer: -2880","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.5 * 1.\nAnswer: -1.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 + 3 + (-7 - 1). Let m be (-9 - -5)*((-3)\/102 - 0). Which is the second biggest value? (a) v (b) m (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -72323.992 rounded to the nearest 10000?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 140 = -70. Let t = q - -44. Suppose -x - 15 = -5*l, -7 - 3 = -2*x + t*l. What is the greatest common divisor of x and 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 76115*m**2 + 41459*m + 9 wrt m.\nAnswer: 152230","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 24 + 33 = 4*s, -s + 12 = z. Let m(k) = -k**2 - 11*k - 6. Let d be m(-10). Solve 4*i - 3*h = 3*i - s, -d*h + 22 = i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*t*u*v - 18456*t*u - 13*t*v + 12*t - 28*u*v - 36749 wrt u.\nAnswer: -3*t*v - 18456*t - 28*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -6, 106807 in decreasing order.\nAnswer: 106807, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1234312421 (base 5) to base 16\nAnswer: 2e694b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -11*k**2 + 7*k + 1 - 2 - 1 + 15*k**2. Let q be l(-6). Calculate the highest common divisor of q and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-4)*(s\/(s*s**(-1\/4)*s)*s*s)\/s)**(2\/7)*(s\/s**(2\/3))**(6\/5)\/(((s\/(s**(-5\/2)\/s))\/s)\/(s*s\/(s\/(s**(-2\/3)\/s)))) assuming s is positive.\nAnswer: s**(-508\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12948712?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -4*b + 4, b - u - 1 = 2*u. Suppose -o + 9 + b = 0. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*s + 227*s - 5668 = 0 for s.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/3, -72, 3\/20?\nAnswer: -72","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 2*h**2 + 127*h - 61. Determine k(-64).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 29.326503 months?\nAnswer: 0.00244387525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(-9)*o)\/o*o\/(o*o**(2\/7))*o*(o**(-2\/3)*o)\/o*(((o*(o\/(o*o**4)*o)\/o*o*o)\/o)\/o)\/o)**42 assuming o is positive.\nAnswer: o**(-502)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 20*h + 23. What is the tens digit of i(7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*v + 10*v + 0*v.\nAnswer: 17*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + -4)*2\/3 - (-12670)\/724?\nAnswer: 31\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uz when two letters picked without replacement from {z: 12, n: 3, u: 3}.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*b = -11*b - 33. Solve 4*q + b + 5 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.047 - 222?\nAnswer: -222.047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) 4\/3 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 707121, 1414226, 2121329, 2828430, 3535529, 4242626, 4949721?\nAnswer: 5656814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 413240507 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes after 4:15 PM?\nAnswer: 5:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*b*h*y**2 - 30526*b*h*y - 13*b*h - 153276*b*y**2 - h*y**2 + y**2 - y wrt y.\nAnswer: -10*b*h - 306552*b - 2*h + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.88 + -0.767. Let y = f + -2.903. Let j = y - 72.11. Round j to the nearest ten.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -127*l**3 - 16*l**2 - 13*l - 15. Let h(p) = -65*p**3 - 7*p**2 - 6*p - 7. Calculate -13*h(w) + 6*j(w).\nAnswer: 83*w**3 - 5*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -322*b + 12. Let v be h(-5). Suppose 0*l - l - w + 811 = 0, 3*w - v = -2*l. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 60*d**5 - 1134*d**3 - 135*d**2 + 40426129*d - 4.\nAnswer: 1200*d**3 - 6804*d - 270","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 + -3123?\nAnswer: -3121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -192 - -197. Put -5, 3, -4, j in descending order.\nAnswer: j, 3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -69*j - 144. Let n(v) = -v**3 - 4*v**2 - 4*v - 3. Let l be n(-1). Calculate d(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**4 + 138*k**3 - 636*k**2 + 870*k - 369.\nAnswer: -3*(k - 41)*(k - 3)*(k - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -18692\nAnswer: 1\/18692","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -2 - 1 - -3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -410*v - 1156 = -376*v for v.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 632618 is divided by 1165.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 3*o + 28, -2*o + 16*l - 17*l = 17. Let c(n) = -7*n**3 + 6*n**2 + 5*n - 3. Let u(f) = 8*f**3 - 7*f**2 - 6*f + 3. Determine o*u(i) - 7*c(i).\nAnswer: i**3 + i + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 2958309 (base 11) to base 14\nAnswer: 962210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 71? (a) 0.2 (b) -7 (c) -2\/145 (d) -17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 5*s = -63, 4*d = 5*d - s - 71. Let c = 167 - d. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 92*l - 1. Let z be 154\/35 - (1 - 16\/10). Let x(q) = 91*q. Let c(s) = z*m(s) - 6*x(s). Differentiate c(w) wrt w.\nAnswer: -86","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = 2*v - 2. Suppose 0*y - 5*y = v. Let k = y - -10. Calculate the greatest common factor of k and 42.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6464.378 litres to millilitres.\nAnswer: 6464378","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 62.11038ml?\nAnswer: 0.06211038","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -110 divided by 4.\nAnswer: -55\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 13719197 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -41604356*c**4 - 10737284*c?\nAnswer: -499252272*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/(-36) - (-1)\/6. Suppose 4*s = -4*r + r + 352, 3*r - 5*s - 343 = h. Let t = r - 1042\/9. Which is smaller: t or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 97, 94, 93, 94, 97, 102, 109?\n\"Answer: k**2 - 6*k + 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*i**2 + 1075*i - 462.\nAnswer: (i + 154)*(7*i - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -2*p**2. Let a(l) = 3*l**2 + 10. Let t(w) = w**2 + 1. Let c(u) = -a(u) + 4*t(u). What is c(b(r))?\nAnswer: 4*r**4 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 250992, 249328, 246562, 242700, 237748, 231712, 224598, 216412?\nAnswer: 207160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 116294 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: In base 5, what is 10 - -131?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**4 - 50*p**3 - 768*p**2 - 3150*p + 3969.\nAnswer: -(p - 1)*(p + 9)*(p + 21)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 25 + -16. Suppose -p = -4*f + f. Suppose 22 = 5*x - f*x. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2318001 by -731.\nAnswer: 3171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 301 - -179. Suppose -5*v + 7 + 251 = i, -2*i - v = -r. What is the greatest common factor of 34 and i?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2373309*z - 1628752.\nAnswer: -2373309","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (14\/3)\/(-3*12\/54). Let s(h) = -22*h - 93. What is the remainder when 239 is divided by s(g)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.001 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 32169079 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f + 5*f - 3*f)*(0*f**3 + f**3 + f**3) + (-f**3 + 2*f**2 - 2*f**2)*(f - 3*f - 3*f) + 0*f + 2*f**4 + 0*f.\nAnswer: 9*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 b, and 1 v when three letters picked without replacement from lrlewwweblbweevleewe.\nAnswer: 7\/570","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 129 = -h, 5*u - 100 = 5*h + 30. Suppose -5*d - 5*n - 40 = 0, u = -4*d - 3*n - 0*n. Which is smaller: d or -5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 396 and 805772.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, w: 9}. What is prob of sequence ww?\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 3\/5 (b) 0.006 (c) -0.2 (d) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -3*g**3\/8 + 723*g**2\/2 + 265353*g\/8 + 2912175\/4 = 0.\nAnswer: -43, 1050","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.37 + 0.374. Let x = w - 5.004. What is the biggest value in -1, x, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -314*h**2 + 883*h + 157. What is u(3)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 64*r - 60*r. Let c(h) = -2*h**2 + 11*h + 31. Let v be c(r). Suppose -4*x + x = 0. What is the nearest to 1 in x, v, -1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 378 and 2158497.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - 4274 + 4284 = -3*k, 3*m = 2*k - 25 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1004*l + 437 = 1027*l. Calculate the greatest common factor of l and 152.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 6*s**3 - 6*s**2 - 6*s - 2. Let d(k) = k**3 - k - 1. Suppose 0 = -v + 3, 0 = -37*i + 33*i + 5*v + 1. What is i*d(r) - l(r)?\nAnswer: -2*r**3 + 6*r**2 + 2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.1 or -208?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.962*164621\nAnswer: -158365.402","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -18*t**2. Let g be 1302\/63 - 18 - 8\/6. Let n(x) be the first derivative of 0*x + 28 + 0*x**2 + g*x**3. Determine n(w(c)).\nAnswer: 1296*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 398338027?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 20330309 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 1 - 2)*(-y - 4*y + 4*y) + (-2*y + 0*y + 4*y)*(-1 + 1 + 5) to o + d*y and give d.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 541740.\nAnswer: 2, 3, 5, 9029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (6\/(-5))\/(9\/(-30)). Suppose 5*x - 18 = -2*r, -2*x + y*r = 3*r. Suppose 0 = -53*c - 38 + 1098. Calculate the smallest common multiple of x and c.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5.19 - -5.1703. Which is smaller: j or -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9003989 is divided by 59?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/4 and -3\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.245129mg to nanograms.\nAnswer: 3245129","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (7 - 2) + -1 + -2. Suppose -t*v + 5*n - 25 = 0, -4*v + v - 2*n = 9. Sort -4, v, -9 in decreasing order.\nAnswer: -4, v, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -255*z - 1440 = 286*z - 508*z + 276 for z.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.05 * -0.04\nAnswer: -0.002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-221938*n + 252*n**2 + 221938*n)*(2*n + 0 + 0).\nAnswer: 504*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*9\/90*(-3)\/2.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the third derivative of -g**4\/24 + 19*g**3\/6 + 6*g**2 - 23. Let p(y) = -17*y + 119. Let k be p(7). Give z(k).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 105*l - 107*l = 254, -l = -5. Calculate the greatest common factor of 2662 and q.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*a - 14*a - 29 + 29.\nAnswer: -4*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n**3 + 0*n**3 + 4*n**3 - 2*n + 34 + 16)*(-660 + 177 + 195).\nAnswer: -288*n**3 + 576*n - 14400","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15124648 and 24596.\nAnswer: 1892","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 42 in 0.3, -15, 46, 16?\nAnswer: 46","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:09 AM and 4:49 AM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/6)\/((-15)\/(-630)). Suppose 0 = -5*i + 25, -3*i = 4*n - 49 + d. Suppose -n*h = -108 + 8. What is the remainder when 58 is divided by h?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1 - -9) + -8)\/(0 - 1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 5713728 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**0)\/(z*z**1\/z))**11\/(z**(-4)\/z**(2\/13)*z**5*z\/(z\/z**(2\/7))) assuming z is positive.\nAnswer: z**(-103\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -109993, -109992, -109991, -109990?\n\"Answer: j - 109994","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 39 - -9. What is the remainder when t is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l - 739 = -7*m, 3*l = 3*m - 14*m + 2*l + 1172 for m.\nAnswer: 107","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4028 and 16?\nAnswer: 16112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-1 + 1*(sqrt(1100) + -2) - (sqrt(1100) + 2 + 4)*2)**2*2.\nAnswer: -10600 - 2400*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 3*l + 34 = -v, 2*v = -4. Calculate the lowest common multiple of 10 and l.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:45 AM and 11:06 PM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, b: 1, t: 1, o: 1, k: 3, w: 2}. What is prob of sequence tw?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*m = -6*m + 816. Let p = 127 + m. Let k = -142 - p. Sort k, 16, -4 in decreasing order.\nAnswer: 16, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 26070 + -15248. What is the greatest common divisor of 14 and g?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000263677 to 5 decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -3*q**2 + 24*q + 67. Let w(m) = -m**2 - 1. Suppose 9*b + 0 = 9. Let f(a) = b*u(a) - 5*w(a). Factor f(o).\nAnswer: 2*(o + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -2191\nAnswer: -2186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5.7 + 28.907.\nAnswer: 23.207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 393059 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*p + 45*p - 2448 = 0. Suppose 5*h = -5*g + 380, 2*g - 4*h = -g + 228. Let v = g + -53. Calculate the remainder when p is divided by v.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2152 + -1 + 1*(-3)\/(-1). Suppose -13*s + 1096 = -u. What are the prime factors of s?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -927 - -929. What is the nearest to t in 2, 2\/7, 1\/4, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 129 - 108 = 0. Calculate the remainder when 17 is divided by t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 5*f - 2, 0 = -3*f + 2*q - 0*q + 2. Find the third derivative of -5*y**2 + f*y**2 + y**6 + 5*y**6 wrt y.\nAnswer: 720*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p + 2*a = 8, 2*p - 2*a + 20 = 3*a for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -266 (base 12) in base 13?\nAnswer: -222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -124 + 124. Suppose a = 4*y - 640, 2*y - 2*a + c*a = 314. What is the remainder when y is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37091771 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2887 a multiple of 88?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 205 times 38?\nAnswer: 7790","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2a (base 12) in base 16?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 13 = -38, -5*z - 2*c = -5. Solve j + 0*v - z*v - 16 = 0, -4*j + 2*v + 14 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(-6)*f**(-1\/5))\/((f**(-2\/5)\/f)\/f**(-7)) assuming f is positive.\nAnswer: f**(-54\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) 0 (c) 1\/6 (d) -8461061 (e) -7\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 116 - 352\/3. Let l = 27 - 157\/6. Which is the third biggest value? (a) l (b) -0.5 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 303, 662, 1061, 1500?\n\"Answer: 20*w**2 + 299*w - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-41)\/86346*-39)\/((-4)\/16)?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + 35 = -5*g, 54*g + 5*h = 58*g - 54 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 856013 to the power of 1\/3, to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*j - 2*j**2 + 15 + 23 + 7*j**4 - 73 + 19 - 17*j**4 in the form l*j**2 + d*j**3 + n + v*j + g*j**4 and give n.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19 - 19 - 2*d + 263*d**2.\nAnswer: 263*d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 10*j**3 + 24*j**2 - 4*j - 772. Let k(b) = 28*b**3 + 66*b**2 - 11*b - 2316. Determine -4*k(s) + 11*y(s).\nAnswer: -2*s**3 + 772","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4967463*j**4 + 129692*j**2 - 8*j wrt j.\nAnswer: 119219112*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(99) - (sqrt(99) - (sqrt(99) + sqrt(99) + sqrt(99) + 2*(-1 + sqrt(99)))))**2.\nAnswer: -2479 + 60*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 3*b = -3*k - 132, k - 4*b = -56. Does 14 divide k\/(-25)*90\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5\/12? (a) 2\/97 (b) -6 (c) -0.31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 62\/91 and -9 + (-1295)\/130*-1?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 705*y + 703*y + 703*y - 2117*y.\nAnswer: -6*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m - m + 2*m)*(4556*m + 6767*m + 5671*m - 13568*m).\nAnswer: 3426*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 20*d**4 + 277*d**3*r + 30*d*r - 66154*r - 146 with respect to d.\nAnswer: 80*d**3 + 831*d**2*r + 30*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**2 + 6*t + 18. Let b be s(8). Suppose -3*n = -3 + 6. Let d(r) = 8*r**2 + 2*r + 1. Let z be d(n). Solve -b*v + 1 = z for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -5*c**2 - 5. Let w = -50 + 56. Let v(g) = 3*g**2 + 2. Determine w*q(b) + 15*v(b).\nAnswer: 15*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**3 + 22*l**2 + 23*l + 11. Let b be u(23). What is the greatest common divisor of b and 77?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 25603 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 130404 - 429\nAnswer: 129975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 215 - 69. Let j(z) = z**3 - 6*z**2 + 11*z - 60. Calculate the smallest common multiple of n\/8 - (-5)\/(-20) and j(6).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -235 - -325. Which is smaller: 87 or i?\nAnswer: 87","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes after 5:22 PM?\nAnswer: 4:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*a + 5*a = -54. Find the third derivative of -5*y**2 - 7*y**4 + a*y**2 + 8*y**2 wrt y.\nAnswer: -168*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -4*t - 14. Let a(f) = -2*f - 7. Give -7*a(b) + 4*g(b).\nAnswer: -2*b - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 326.\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4065945.\nAnswer: 3, 5, 13, 29, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -162 + 738 = 3*i. Calculate the greatest common factor of 12 and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = x - 3*n - 36, 3*x = -5*n + 90. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes before 3:01 AM?\nAnswer: 10:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 73, 154, 247, 358, 493, 658, 859, 1102?\nAnswer: 1393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3*33 + -8 + (-108)\/(-12) is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 32*t + 1548 + 0*t - 1548. Let d(i) = 13*i. Suppose -b - 2 = x - 14, -4*x = -2*b - 48. Let p = -2 - 3. What is p*y(o) + x*d(o)?\nAnswer: -4*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 161381 divided by 2\nAnswer: 161381\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-54)\/4*(-53648)\/34488\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes after 2:09 AM?\nAnswer: 8:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -90*r**4 + 289*r?\nAnswer: -1080*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 - 0)\/((-7)\/(-21)). Suppose 426 = t*j + 135. Is 20 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/25)\/(26\/130).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the first derivative of x**6 - 5*x**2 + 2. What is the second derivative of q(f) wrt f?\nAnswer: 120*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2566?\nAnswer: 2, 1283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(48)\/(sqrt(8) + sqrt(72)))\/(sqrt(4)\/sqrt(2)*-4) + -2*-1*sqrt(363) + 4)**2.\nAnswer: 351*sqrt(3)\/2 + 373699\/256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3033 - 1610. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + 7*s)*((3*s - 3*s + s)*(-2 + 0 + 0) - s - s + 0*s)*(2104 + 388 + 410).\nAnswer: -81256*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lll when three letters picked without replacement from {m: 1, x: 4, l: 5}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/((-1)\/3*1). Suppose -f*h + h = 0. Suppose 1110000 = 3*b - h*b. What is b rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pymtzpppypppmppmmp. What is prob of picking 1 m and 2 p?\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 52404?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2210 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 80\/(-14) - 14\/49. Let r be (-2)\/((-3)\/((-27)\/j)). Find p such that -2\/5 - 2\/5*p + 2\/5*p**2 + 2\/5*p**r = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1039792421 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -14734494, -29468984, -44203474, -58937964, -73672454?\n\"Answer: -14734490*h - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-4)*6 - 0. Let k(t) = -5 + 8 - 3*t - v. Let f(y) = 8*y**2. Calculate f(k(u)).\nAnswer: 72*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 5\/8 of a millisecond?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 122240 + 1?\nAnswer: 122241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the second derivative of 386*d**7\/21 + d**6\/30 + 97*d**3\/2 + 3*d**2\/2 + 1504*d. What is the second derivative of c(u) wrt u?\nAnswer: 15440*u**3 + 12*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -160906?\nAnswer: 3\/160906","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 5108042.19 times -0.3\nAnswer: -1532412.657","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 190 or -20797\/4?\nAnswer: 190","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a microgram in nanograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1358*y + 1352*y + 24 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -46314 + -602?\nAnswer: -46916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wg when two letters picked without replacement from wggngggtggwgtggbggtg.\nAnswer: 13\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**2 + 6*x + 73. Let u be t(-6). What is the nearest to 1\/8 in u, -2, -0.2, 0.5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -0.5, 2\/7, -4, 186?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**3 - 11*c**2 - 12*c + 3. Give j(12).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 221?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (79068*k - 46902*k - 42222*k)*(0 + 3 - 2) - 4 - 1 + 4 - 2*k as h*k + g and give h.\nAnswer: -10058","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 + 4. Suppose -4*x - x - 5*z = -50, 2*z - 2 = 0. Solve 4*j - 14 = 2*u, j - x = -5*u - d*j for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(72) + sqrt(2))*-3 + -4.\nAnswer: -4 + 84*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 4*x**5 - 16*x**4 + 12*x**3 + 16*x**2 - 16*x = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 33231 to the power of 1\/2, to the nearest integer?\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(90)*2 + sqrt(90))\/sqrt(6))\/(-1*-1*sqrt(5) + sqrt(5)))**2.\nAnswer: 27\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 0.713714cm?\nAnswer: 7137140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 - -11. Let f(b) = -b**2 + 10*b - 9. Let p(t) = t**2 - 10*t + 9. Let s(g) = o*p(g) + 4*f(g). What are the prime factors of s(7)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8223996 divided by 132?\nAnswer: 62303","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 14567 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**3 - 19*q**2 - 33*q + 18. Let n be t(-17). Solve 3 = -2*d + n for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-74 - 28) + (-20 - -8) + 20 - -16.\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 96 - 60. Let c(q) = -q. Let r(f) be the third derivative of -f**5\/60 - 7*f**4\/24 - f**3\/6 - 268*f**2 - f. Let h(i) = t*c(i) - 4*r(i). Factor h(d).\nAnswer: 4*(d - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 w when four letters picked without replacement from isiwiwiisriwsiswg?\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 2 f, and 1 w when four letters picked without replacement from rrrrrfrrffrfrfrffrfw?\nAnswer: 308\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6 + 12 - 5*r**3 + 15*r**2 - 26.\nAnswer: -5*(r - 2)**2*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 88, 184, 292, 418, 568, 748?\n\"Answer: r**3 + 89*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4024 (base 5) in base 15?\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 2284*l**3 - 13*l + 39. Let m(g) = 1142*g**3 - 6*g + 18. What is -13*m(x) + 6*v(x)?\nAnswer: -1142*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 118095625 is divided by 14761953?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -33b12 (base 12) in base 6?\nAnswer: -1251222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the third derivative of -l**6\/120 - 19*l**5\/60 - 37*l**3\/6 - 3*l**2. Find the first derivative of p(b) wrt b.\nAnswer: -3*b**2 - 38*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 509 is divided by 64?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*v**2 + 0*v**2 + 75*v**3.\nAnswer: 75*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -44*v + 55*v - 2*s + 229, 4*v - v - 3*s + 60 = 0 for v.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8759025 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28 - (-98 - -37 - -122)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 217 = 8*p - 15. Suppose -17*s + 617 = -p. Solve 0 = 7*c - s + 3 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12293\/1530 - -13\/170. Find the common denominator of j and (-2)\/8 - (-86)\/(-72).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 409 a multiple of 80?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 3*k**3 + 4*k**2 + 5*k + 1. Let j be r(-2). Let p = 30 + j. Let i = 18 - p. Solve -4*c + i = -3 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - 2*k - k - 21, -d - 3*k - 6 = 0. Calculate the remainder when 238 is divided by (-2430)\/20*(1\/d - 1).\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 144587 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 92793, 92774, 92755?\nAnswer: 92736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -2 times 3.905\nAnswer: -7.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g - 1. Let n be f(-5). Let d = n + 0. Solve -d*m + 24 = 4*s, s + 12 = 4*m + m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8b3a (base 15) in base 4?\nAnswer: 13031122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -746 - -2?\nAnswer: -744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (20\/(-90) + (-20)\/18)*795. Calculate the common denominator of (d\/(-1050))\/(15\/(-9) - -3) and 19\/3.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2733, -10939, -24605, -43737, -68341?\n\"Answer: -g**3 - 2724*g**2 - 27*g + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -41158, -42620, -44096, -45592, -47114?\n\"Answer: -m**3 - m**2 - 1452*m - 39704","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 14 = 34. Which is the third biggest value? (a) -5 (b) 0.3 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -60*p - 426. Calculate k(-5).\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x + q - 234 - 131, -5*x = 2*q - 914. Suppose 2*m = -5*w + 204, -2*m - w + 6*w = -x. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20+-7649513.25943\nAnswer: -7649533.25943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -56997 + 57042.9744. Let h = m + -46. What is h rounded to three dps?\nAnswer: -0.026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -64*g**3 - 215*g - 107*g + 65*g**3 - 132*g in the form p*g**3 + i*g**2 + c + w*g and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 4}. What is prob of sequence vvv?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -100*z**4 + 34269*z**3 - 161*z**2 - 2*z + 1338 wrt z.\nAnswer: -2400*z + 205614","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is d838 (base 15) in base 14?\nAnswer: 12944","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-2))\/(8\/(-24))*(338000\/(-150))\/(-65).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 9 + 3)*(c + 3*c - 6*c).\nAnswer: 16*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -405*m**2 + 2340*m - 3380 = 0.\nAnswer: 26\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7119 in -0.007, -1, -5, -0.1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2479182 or 2479181?\nAnswer: 2479181","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2319 + -1440. What is the remainder when r is divided by 55?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 + 3)*(4 + 0 - 5)*(2*f + 3*f + 7*f).\nAnswer: -60*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-106)\/159*(14\/21 - (-5811)\/(-9)). Calculate the highest common divisor of 11 and h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4\/(-14))\/((-12)\/26). Let l = 2\/7 - d. Which is the biggest value? (a) -3 (b) 1 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 308 or 304?\nAnswer: 308","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (16\/3)\/(546\/117)?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the second derivative of -i**4\/3 + 2883*i. Let a(g) = 2*g**2 - 4. Calculate a(t(x)).\nAnswer: 32*x**4 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -377*a**3 - a**2 + 9. Let l(q) = 94*q**3 - 2. Give -2*d(t) - 9*l(t).\nAnswer: -92*t**3 + 2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -467, -471, -477, -485, -495, -507, -521?\nAnswer: -537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g + 18 = 11*g. What is the greatest common factor of 24 and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 11*u - 24 + 10*u - 27 to the form z + w*u and give z.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:55 PM and 5:39 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 227 - 222. Suppose 422 = -t*z + 7*z - s, -4*z + 856 = -5*s. Calculate the highest common divisor of 38 and z.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2105*i - 5430 - 40880 = 0 for i.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24501317 divided by -844873.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 90 and 5588721.\nAnswer: 55887210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 288 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3195\/3 - (13 + -7). What is n rounded to the nearest 10?\nAnswer: 1060","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + (-3 - -2) - -12) + (53 - 40).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in -266.04, 7, -3\/2?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 420176 + -40336483\/96. Let z = -15\/32 + m. Does 5 = z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a microsecond in nanoseconds?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of 51 and 1.31.\nAnswer: 52.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1504 + -1503. Let m = -34\/3 + 275\/24. Which is the nearest to x? (a) -18 (b) 0 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18 - 36) + 9 - (-1 - (-2 + 33)).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/((-4)\/5)*-2. Suppose u - z*u = -8. Suppose -u*i - 1 + 58 = 3*r, -i + r + 31 = 0. What is the remainder when i is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 107 divide 353138005?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand y + 0*y + 0*y + (6*y - 3*y - 2*y)*(0 - 2 + 0) + (3 - 5 + 0)*(0*y + 2*y + 0*y) + 1 - 2*y - 1 + 48*y + 4 - 25*y - 18*y.\nAnswer: -2*y + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 - -4. Let w = -186\/757 + -199\/2271. What is the biggest value in -22, w, u?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*c**4 + 4 - 4 - 2*c**4 - 2*c**4 + 5*c**4 + (-c**4 - 1 + 1)*(-2 + 2 - 2) + (-1 - 5 - 8)*(0*c**4 - 5*c**4 + 3*c**4).\nAnswer: 25*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-26*r - 24*r + 9*r)*(-1 + 4 - 1)*(2 + 0 - 4).\nAnswer: 164*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -35 + 41. Suppose -2*v - w + 12 = 0. Let j be v - 3*2\/(-12). Do j and 5 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 347 divide 9041085?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/14150 and -32\/15565.\nAnswer: 155650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 23448 and -7.\nAnswer: -164136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**3 + 56*y**2 - 53*y - 87. Let g be c(55). Suppose 34*j - 152251 = g*j. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5372 + 273. Calculate the greatest common divisor of h and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.2, 0, 5, 25\/8?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * -2744.65036.\nAnswer: 274.465036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -18*p**2 - 3. Let l(z) = -36380*z. Calculate x(l(s)).\nAnswer: -23823079200*s**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -41*y**2 + 17*y**2 - 2*y**3 - 5 + 24*y**2 to the form q*y + f*y**2 + d + p*y**3 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add together -201 and 1748769395.83.\nAnswer: 1748769194.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8446.\nAnswer: 2, 41, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*y + 5*q + 6, 4*q = 3*y + 6*q + 9 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 6*c - 64 = 4*a, 52 = 4*c + 2*a. Let n be (-130)\/(-11) - c\/(-77). Suppose -h - n = -2*h. Solve -2*t - 3*y - h = -y, 2*t + 24 = -5*y for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j. Let l be i(2). Let r = 0.47 - 0.17. Let t be 0\/(4\/(-5 - -1)). Put t, l, r in ascending order.\nAnswer: l, t, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -100211202 (base 3) in base 6?\nAnswer: -53115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c = -2*s + 85 - 108, 0*s + 2*s = 2*c + 12 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1a + 7a992?\nAnswer: 7a974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes before 10:43 PM?\nAnswer: 7:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*a + 16*a - 82 = -m, -4*a + 3*m + 314 = 0. Suppose -3*f - 80 = -8*f. Calculate the greatest common factor of f and a.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the second derivative of -1\/6*r**4 - 5*r - 1\/5*r**5 - 11\/6*r**3 + 4\/15*r**6 + 0*r**2 + 4. What is the third derivative of q(k) wrt k?\nAnswer: 192*k - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from roovovvoooooovvovoo. What is prob of picking 2 v and 2 r?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 66.204787 to the nearest ten.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 3 + 3)*(8*j**4 + 6*j - 9*j**4 - 47*j).\nAnswer: -5*j**4 - 205*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 522720 + 75?\nAnswer: 522805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18\/(-6) - 79\/(-1) is divided by 27?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -186 divided by -186?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 158*d**3*l**2 + 123*d*l**2 - 2*l**2 wrt d.\nAnswer: 948*d*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/(-10))\/(3\/(-252)*-4).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 395, 1341, 2921, 5135, 7983, 11465?\n\"Answer: 317*c**2 - 5*c + 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes before 1:04 PM?\nAnswer: 3:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 110 (base 6) to base 14\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 371.836 and 0.5.\nAnswer: 185.918","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**3 - 8*p**2 + 5*p - 14. What is r(-9)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 427552069.\nAnswer: 7, 6269, 9743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-45)*261\/(-18) - 36\/27\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 2*n + 25 = 6*r, 2*r - n - 10 = 0. Let i(g) be the third derivative of g**5\/60 - g**4\/24 - 2*g**3\/3 + 5*g**2 + 180*g + 1. Determine i(r).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**2 + 13*p - 2. Let a be k(8). Suppose -6 = a*b - 41*b. Solve -3*q = -b*q - 3 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -17789405 to the nearest one hundred thousand.\nAnswer: -17800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 + 11. Suppose -4*h + 3*w - 61 = 0, -w + 0*w + 3 = 0. Let t = h - -33. What is the lowest common multiple of t and m?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -967\/6 + 161. Let r = 11 - 14. Which is the nearest to 0? (a) o (b) r (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -137 + 89. Let b be z\/(-3) + -2 + 1. Suppose 40 = 2*r - 4*v, r + 1 - b = -v. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -4537, -18072, -40631, -72214, -112821?\n\"Answer: -4512*w**2 + w - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 - -101?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and -506.\nAnswer: 1518","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 56657?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -8*q - 42. Let u(l) = -l**3 - 13*l**2 - 35*l - 54. Let a be u(-10). What is c(a)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1230 + 1224. Which is the third biggest value? (a) 1.2 (b) j (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -21 - -985. Suppose f + 2*z - 13 = -0*z, -2*f + 30 = 5*z. Suppose 4*a + o - s = -4*o, a = f*o + 241. What is the tens digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(4 + 5*sqrt(7)))**2.\nAnswer: 160*sqrt(7) + 764","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10525*r**2 + 58*r - 13.\nAnswer: 21050","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 843080659 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l + 2. Let v be p(-7). Let h = 5 + v. Suppose h = 2*y + 2*y - 32. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = 3*t - 0*l - 43775, -43767 = -3*t - 3*l. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*n - 6*j + 16, -5*n + 147*j - 146*j - 11 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -85*h**2. Let y(i) = -2379*i**2. Determine 169*x(k) - 6*y(k).\nAnswer: -91*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -4*m - b - 46, -2*b = -2*m - 28. Let q = -8 - m. Let x(f) = f - 5. Let w be x(q). Put 1\/9, 4, w in descending order.\nAnswer: 4, w, 1\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-4 + sqrt(1331)*-1 + 0 + sqrt(1331) + sqrt(1331)*-2*-3).\nAnswer: -264*sqrt(11) + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 412080587?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-14 - -44)\/(-1 + 16\/18). Let a = 446 + k. Suppose -526 + a = -7*q. What is the greatest common factor of q and 400?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:58 PM and 5:40 PM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 136*l**4*p**2 - 2*l**2*p**2 - 3*l*p + 2*p**2 + 11*p - 3 wrt l?\nAnswer: 544*l**3*p**2 - 4*l*p**2 - 3*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 4\/19, 1\/12750, 2\/3?\nAnswer: 1\/12750","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.12 and 95.46.\nAnswer: 95.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3577.292 and -960.\nAnswer: 2617.292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i - 7*i = -12. Which is smaller: i or -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 - b2?\nAnswer: -b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -344, -1033, -2064, -3437, -5152?\n\"Answer: -171*v**2 - 176*v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (22\/33)\/((-16)\/(-6)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -3185.7 to the nearest 100.\nAnswer: -3200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7 or 4492894?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-900)\/110 - (-4)\/22. Let i = 36 - l. What is the remainder when i is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 30 and 277285?\nAnswer: 1663710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 1 - 2*h - 2 - h**3 + 5*h - 6*h**2. Let a be v(-6). Is a*(-2 + 0 - -1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 314092?\nAnswer: 2, 17, 31, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 3*x + 296 + 255 = 0, -277 = -b - 3*x. Is b a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4527 + 4527 + 2*l**2 + 0*l**3 - 3*l**3 - 4*l**3.\nAnswer: -7*l**3 + 2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3421241 (base 8) to base 5.\nAnswer: 214120434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -63c03 + -5?\nAnswer: -63c08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 4 (b) 29 (c) -1.2 (d) -10 (e) 0.2 (f) 3 (g) 0.7\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) -31 (c) -1 (d) -3 (e) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17587953?\nAnswer: 3, 1954217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1366, 2725, 4076, 5413, 6730, 8021?\n\"Answer: -m**3 + 2*m**2 + 1360*m + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -150, 1841, 7238, 17745, 35066, 60905, 96966, 144953?\n\"Answer: 284*o**3 - o**2 + 6*o - 439","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14 - 33 + 8)*(-g + 0*g + 4*g)*(-6 + 3 + 2).\nAnswer: 33*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**2 - 6*v + 8. Let p(s) = s**2 + 3*s - 7. Let x = -19 - -15. Let q be p(x). Let a be (8\/12)\/(q\/27). Calculate d(a).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/4 + ((-82)\/24)\/(21\/(-271467)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.29, 19.2, -3\/5, 3, 0.2, -1 in ascending order.\nAnswer: -1, -3\/5, 0.2, 0.29, 3, 19.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 44 - (-38 + 16 + (-5 - -17))?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x + 4. Suppose 2*n = -5*p - 5, -n - 1 = p - 0*n. Let k be (5\/5)\/(p\/4). Calculate w(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**3 + 8*h**2 - h - 2. What is u(-8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -1\/4, 5, 41?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 389152 and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 273 divided by 4\nAnswer: 273\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - (-1 + 1 + 2)) + 8 + -2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 4*t = -5*h - 74, 4*h + 84 = -3*t. Let g be (-9)\/h - (-2)\/(4\/45). Solve 4*k - 7 = -g for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -35 and -1141\/32 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (21 + 3)*160\/80. Suppose -q - 2*f = -377, q - 373 = -0*q - 3*f. Suppose 215 = 5*j - q. What is the greatest common divisor of j and d?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 3 + 1 + sqrt(8) + (sqrt(90)\/sqrt(9)*-1)\/sqrt(5).\nAnswer: 1 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.00444 + 4.67.\nAnswer: 4.67444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 12, v: 2, s: 3}. Give prob of picking 2 v.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 103 - 4131430?\nAnswer: -4131324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**3 + 5*w**2 - 5*w + 7. Let i be j(-6). Suppose -5*u = -26 + 1. Calculate the highest common divisor of u and i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 9956*u**2 + 662*u - 47. Is h(7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -6*f + 30. Solve f*j - 10*j = -6 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3883*t**2 - 116 wrt t.\nAnswer: 7766*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.66 - 3.16. Suppose -21 = -4*h - q, -7*q + 3*q - 11 = -3*h. What is the closest to -1 in h, b, 2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1000220 + -101112122?\nAnswer: -100111202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 407673.\nAnswer: 3, 7, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 4*d - 177. Let c(p) = -13*p. Calculate c(g(y)).\nAnswer: -52*y + 2301","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.71 + -0.6. Let q = -1.2 - -2.041. Let u = q + 0.159. Which is the third biggest value? (a) u (b) -0.5 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1003783058 to the nearest integer?\nAnswer: 1001","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -3*z - 15. Let o be h(-6). Let x be 145\/o - (-5)\/(-15). Suppose 0 = -2*r - 2*r + x. Does 3 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.006519 and -0.0043.\nAnswer: 0.0000280317","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1042, 4, -62, 6 in descending order.\nAnswer: 6, 4, -2, -62, -1042","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3*((-300)\/36 - -8). Sort z, 2, 0, 3 in increasing order.\nAnswer: 0, z, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 678?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + 15692*i + 13 = 15697*i, -3*i - 23 = w for w.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6, -7, -6, 3, 26, 69, 138?\nAnswer: 239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 0)*2*7\/28?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the second derivative of -i**5\/20 - i**4\/12 - 1900*i**2 + 5*i. Let l be z(0). Round l to the nearest 1000.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 11656 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-3 + 4 + 0)*(-3 - 1 + 2)*(3 + 0 + 9) + (0 - 1 + 0)*(5 - 3 + 0))*(4*r - 2*r + 0*r) as x*r + k and give x.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -14 + 14 - 50*l as h + b*l and give b.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-nine quarters of a year in months?\nAnswer: 177","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4 + (-506)\/(-10))\/(3\/15). Let n = f - -23. Suppose 4*a + 4*r - n = 0, 4*a + r = a + 182. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 4, b: 3, t: 6}. What is prob of picking 1 t and 2 z?\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*m**4 - 4*m**3 + 48*m**2 + 112*m + 64.\nAnswer: -4*(m - 4)*(m + 1)*(m + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*g - 54 = -22 + 19 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 820065244 to the nearest integer?\nAnswer: 936","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((39972\/126)\/((-24)\/(-42)))\/((-8)\/(-36)). Which is smaller: x or 2497?\nAnswer: 2497","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -34351377*f**2. Let p(k) = -2*k. Calculate p(y(i)).\nAnswer: 68702754*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (5\/(-4) - -1) + (-2993)\/(-164). Suppose u = 8*m + m. Solve -m*q = -0 + 10 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.8226 + 46.8226. Which is the smallest value? (a) 0.14 (b) r (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) -1\/3 (c) 7 (d) -4 (e) 42\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b**15\/b)*b)\/(b*(b*b**28)\/b*b) assuming b is positive.\nAnswer: b**(-42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 107*b**2 - 6*b. Let l(i) = -127*i**2 + 7*i. Let w(u) = 6*l(u) + 7*n(u). Let g(c) = 70*c**2. Determine w(g(a)).\nAnswer: -63700*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3*(-9)\/(27\/2). Let x(f) be the second derivative of 7\/6*f**3 + 2\/3*f**4 + 3\/20*f**5 + 0 + f**l - 4*f. Let x(u) = 0. Calculate u.\nAnswer: -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 253*m**3 + 3*m**2 - 266*m**3 + 11*m - 4*m**2 + 3*m**2 to the form c*m**3 + a*m**2 + j + w*m and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 + 12. Calculate the greatest common factor of b and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16694066459 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -10*a + 4 + 1\/4*a**4 - 5\/2*a**3 + 33\/4*a**2 = 0. Calculate a.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2599898911?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*q + 2*q - 4 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 96162791?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.6 + 96249.3.\nAnswer: 96250.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 17965 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -m - 8. Suppose 0 = -f + 1 - 3. Let t be -2 + 8*4\/20. Which is the third smallest value? (a) f (b) m (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**2 + 2*f + 8. Let d be q(3). Is 8 a factor of 4\/d + (-1442)\/(-35)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the third derivative of 0*p**3 - 1\/120*p**6 + 3*p**2 - 6*p + 1\/4*p**4 + 0 - 1\/20*p**5. Calculate w(-5).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 418119 and 10721?\nAnswer: 418119","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-3)\/(-5))\/((-412264)\/137460 + (-1 - -4)). Sort -5, a, 4 in decreasing order.\nAnswer: a, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-8))\/((-4)\/16)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(-5)*(21 - 29786). Suppose 11*s - 5366 = o. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 + 11.74332\nAnswer: 11.44332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -5*y**3 + 4*y**2 - 2. Let c(n) = -4*n + 93*n**3 + 5*n - 89*n**3 + 2 - 3*n**2 - n. Calculate 3*c(v) + 2*i(v).\nAnswer: 2*v**3 - v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 40 - 141 + g**5 + 289*g + 251*g - 450*g**2 - 115 - 20*g**4 + 145*g**3 = 0.\nAnswer: 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from borblbbro. Give prob of picking 2 b and 1 l.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (8\/6380)\/((-174)\/1914)\nAnswer: -2\/145","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 273, 1088, 2447, 4350, 6797, 9788?\nAnswer: 13323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 802278507?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 36800 and 72.\nAnswer: 331200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**2 - 3*k - 4. Suppose -4*z = 2*r - 48 - 26, 5*r - 221 = 2*z. Suppose 0 = -5*w + 5*d - 50, -5*w + 3*d - 1 - r = 0. Let p = -3 - w. Calculate i(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*k - 11*k**3 + 10*k**3 + 4*k.\nAnswer: -k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 172 = 4*n + 5*w, -w - 140 = -4*n + 2*w. Suppose -3*o + n = -5*i - 245, 0 = -4*o + 5*i + 379. Calculate the greatest common divisor of o and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.0659 + 14.1159. Let l = i - 0.05. Let s = -14.0000002 + l. Round s to 7 dps.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (49\/(-840))\/(9\/(-28)) and 5\/27.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(5\/4)\/(l**0*l*l))\/(l**0\/(l\/(l**(-8)\/l)))*l**(5\/6)*l**4\/l*l*l**(5\/2)*l*(l\/((l**(2\/19)\/l)\/l*l))\/l assuming l is positive.\nAnswer: l**(4213\/228)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -529*g + 532*g - 2*r + 34 + 3 = 0, 0 = 2*g + 3*g - 31*r + 200 for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 0.2 (b) -1.2 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/((-8)\/12)*(-4)\/3. Let q(v) = 15*v**2 - 11*v + 1. Let l(x) = 5*x**2 - 4*x. Let k(p) = y*q(p) - 11*l(p). What is the first derivative of k(g) wrt g?\nAnswer: 10*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.2 (b) 14\/3 (c) 1 (d) -0.04\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14446767.\nAnswer: 3, 4815589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*q**2 + 3*q**5 - 3*q**3 - 71 + 71 - 2*q**4 + 2*q**4 + 2*q**5 + (6 - 2 - 1)*(-2*q**5 - 5 + 5) - 61*q + 61*q + 6*q**5.\nAnswer: 5*q**5 - 3*q**3 - 4*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -17 - -18. Suppose -2*y + 2*h = 0, -46 = -5*y - 4*h - v. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4899 = -28*b + 341*b - 382*b for b.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xtttttxt. Give prob of picking 2 x.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2a0 + 1063?\nAnswer: 1353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -761*k**2 + 76*k**4 + 82*k**4 - 99*k**4 wrt k?\nAnswer: 1416*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 38423301023720 and 0?\nAnswer: 38423301023720","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.5, -53, 0.9406?\nAnswer: 0.9406","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**3 - 3*d**2 + 6*d + 4. Let v = 8 + -13. Does 12 divide k(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1069, 4530, 10297, 18376, 28773, 41494, 56545, 73932?\nAnswer: 93661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5654484045.\nAnswer: 3, 5, 7, 41, 48647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 863?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = 4*s + 2*k - 98, -k - 107 = -4*s. Suppose f - 117 = 2*f. Let x = 182 + f. What is the greatest common factor of x and s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -v**4\/2 - 958*v**3 - 34053*v**2\/2 + 105293*v - 87308 = 0.\nAnswer: -1898, -23, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppppppp. What is prob of sequence ppp?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3*(-18)\/(-3510))\/(12\/(-40)).\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 - 3)\/(2\/(-9)). Let v(w) = -3*w**2 + 5*w - 1. Let a(p) = -4*p**2 + 6*p. Let k(o) = -4*a(o) + 5*v(o). Is k(g) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -6*o. Suppose -2*q - y = -10, -34*q + 39*q - y = 11. Let b(d) = -q*d + 11*d - 6*d - 17*d - 9*d. Give a(b(f)).\nAnswer: 144*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**2 + 13*u - 25. Let k be j(10). Suppose -k*d - 23 = 2. List the prime factors of d\/2*1116\/(-90).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 63, 1118, 3993, 9606, 18875?\n\"Answer: 153*j**3 - 8*j**2 + 8*j - 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**2 + w. Let k(g) = -g**2 - 25*g + 4. Let z be k(-25). Let d be z\/(-12) + (-2)\/3. Give b(d).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 732?\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6738?\nAnswer: 2, 3, 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 10*f**3 + 161*f**2 + 67*f + 887. Determine v(-16).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 - (1 - 3) - -5. Let r = -2 + 37. Suppose 5*b - r = -5*m + m, 3*m - 35 = -d*b. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 22 - (-3 - (1 + -1)). Suppose -f + 36 = 2*g, 4*g + g - x = 0. Calculate the greatest common divisor of 39 and f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-40)\/(-24) + -2)\/(11\/6).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhvv when four letters picked without replacement from {v: 7, h: 4, a: 1, m: 4, j: 3, e: 1}?\nAnswer: 7\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 164\/39 - 973\/117. Find the common denominator of -2\/627 and c.\nAnswer: 1881","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/4 + 600\/16. Let v = g + -35. Let q(w) = 3*w**2 + 0*w**2 + 0*w**v. Let l(d) = -d. Determine l(q(a)).\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2875 - 1272. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qs when two letters picked without replacement from btspsipq?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 + 74\/10)*10\/(-24)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 615.058901 to the nearest 10.\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -35460 - -2623979\/74. What is the common denominator of -95\/16 and q?\nAnswer: 592","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/11*-5*198\/495.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-93*u**3 - 2250*u**2 + 2250*u**2)*(3*u + 3*u**2 - 3*u) - u**5 + 3*u**5 - u**5.\nAnswer: -278*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 93822 is divided by 6066.\nAnswer: 2832","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*y**5\/3 - 158*y**4\/3 - 17092*y**3\/3 - 112736*y**2\/3 - 124480*y\/3 + 254464\/3 = 0. What is y?\nAnswer: -56, -4, 1, 142","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eeb when three letters picked without replacement from {t: 3, e: 5, b: 4}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 73 - 147. Let b = s + 124. Suppose 43 = a + 3*a + 5*u, -b = -4*a + 2*u. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -2*b + 2. Let d be u(1). Suppose d = -3*y - 4*q + 193, 2*q + 58 = y - 3*q. What is the greatest common factor of y and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + (14 - 1) + (-204 - -193) + (25 - -2)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 55\/24*148*594\/146520?\nAnswer: 11\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes before 6:43 PM?\nAnswer: 4:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 - 10010110000?\nAnswer: -10010101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 14 = -5*y, p = -4*y - p + 14. Suppose a - 43 - 49 = -y*o, -3*o = -3*a + 228. Is 16 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 2*x**2 + 36*x + 82. Determine r(-20).\nAnswer: 162","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from dxlxlxxxdllkdrxx.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -124 + 149. Suppose 0 = 3*d - 4*o - 0*o - v, o = d - 7. Let 0*y + 1\/9*y**2 - 2\/9*y**d + 0 + 1\/9*y**4 = 0. Calculate y.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o**2 + 0*o**2 + 0*o**2)*(-3*o**3 + 3*o**3 + 2*o**3) + (-3*o - o + o)*(6*o**4 - 4*o**4 + 0*o**4).\nAnswer: -8*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 124*a - 24009 = -15*a - 12*a. Let c(b) = -23*b - 3. Let w be c(-7). Is w at most as big as a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide 89162?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1742 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/((3\/(-15))\/((-7)\/35))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 291 by 97.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2788 - b**3 + 1391 + 1394.\nAnswer: -b**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 5) + 15 + -9.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 0.37 (b) -47 (c) 0 (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*f - 13*f + f - 2 - f**4 + 3*f + 7*f**2 to q*f**4 + r*f + s + b*f**3 + o*f**2 and give o.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 2*z - 8 = 0. Let a be z*((-2)\/4)\/1. Solve -u + a + 1 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + 3*q - 2*q - 50, 4*x + 4*q = -40. Let s = -4 - x. Suppose -40 = -9*y + 5*y. Calculate the lowest common multiple of s and y.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 4*d - 48 = -2*w, -4 = -w. Suppose -4*u = -2*m - 14, 5 = u + 4*m - 3. Sort d, 1, u in descending order.\nAnswer: d, u, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = h - 107, -4*h + 2*s = -214 - 220. Does 67 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + 3\/(-3))\/(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 495502 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -270*h**3 + 542*h**3 - 274*h**3.\nAnswer: -2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 92326461?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f**3 + f**3 + 0*f**3)*(0 + 3 - 1) - 2 + 2 - 3*f**3.\nAnswer: -f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -2*x - 5*l + 2244, -4*l + 2250 = 2*x. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/(3\/4) + 231024\/720. Let r = -317 + v. Which is the nearest to 0.2? (a) -3\/4 (b) 0.5 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -352*i**3 - 5416*i**2 - 36736*i\/11 - 5782\/11 = 0. Calculate i.\nAnswer: -59\/4, -7\/22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the second derivative of 26*o**4\/3 - 59*o**3\/6 + 205*o + 2. Find the second derivative of b(u) wrt u.\nAnswer: 208","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + (-1537 - -1536)\/((-268)\/249 + 1).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1916 (base 10) in base 13?\nAnswer: -b45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 36554 - 2086. Is 73 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that w**3\/5 - 2163*w**2\/5 + 232407*w + 1648115 = 0.\nAnswer: -7, 1085","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 120 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 + -2190?\nAnswer: -218b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 116 is divided by 103.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -646*n**3 + 2*n**2 + 983*n + 6. Let b(v) = v**2 - v + 3. Let s(z) = -2*b(z) + t(z). Find the second derivative of s(k) wrt k.\nAnswer: -3876*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -30854752, -30854723, -30854668, -30854581, -30854456, -30854287, -30854068?\n\"Answer: u**3 + 7*u**2 + u - 30854761","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -989662 or -989637?\nAnswer: -989637","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g + 1. Let u be q(-4). Let r(k) = k + 19. Let t be r(-8). Let o = t - 10. Let f(n) = n + 1. Let m(l) = -l**2 + 3*l + 3. What is o*m(j) + u*f(j)?\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 903 + -901. Solve -8*d = m*d + 20 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17 + (-19 - -30 - 10 - -20)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35c29 (base 13) to base 11.\nAnswer: 681a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1202\/(-10217) + (-1)\/(-2 + (-26)\/4). Factor 0*r + 0 + m*r**3 + 2\/3*r**4 + 0*r**2.\nAnswer: 2*r**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + f = 0. Let b = 28 - 23. Suppose -b*z + 240 = -f*z. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - (23 - 2)) + -136 + 145.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 27 = -2*t, 252*t - 247*t = n - 48. Calculate the highest common divisor of n and 3707.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s - 5*g + 37 - 47, 4*s - 5*g + 70 = 0. Let t(w) = w**3 + 9*w**2 - 6*w + 22. Calculate t(s).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-9)*(((w**4\/w)\/w)\/w*w)\/w*w)\/(((w\/(w\/((w*w\/(w\/w**(3\/4)))\/w)))\/w)\/((w*w**(-2\/5))\/w)) assuming w is positive.\nAnswer: w**(-143\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 118059*g - 2715336. Calculate c(23).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4476508, -8953022, -13429536, -17906050?\nAnswer: -22382564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 17, l: 3}. Give prob of sequence jll.\nAnswer: 17\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**2 + 4*q + 4. Let l be o(5). Let p = 28\/15 + -61\/30. What is the smallest value in -5, p, l?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -134848\/5 - -1483808\/55. Factor -1152\/11 - 2\/11*j**2 + v*j.\nAnswer: -2*(j - 24)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8 (base 14) to base 15.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 38988*i**3 - 2623661892*i**2 + 230145555*i - 5047050.\nAnswer: 3*(i - 67294)*(114*i - 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-77616)\/4752*48\/(-364)\nAnswer: 28\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -9*p + 13. List the prime factors of a(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the third derivative of 0 - 1\/24*k**4 + k**2 + 7\/6*k**3 + 1\/24*k**5 + 0*k. Let s(y) be the first derivative of p(y). Differentiate s(l) wrt l.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the first derivative of l**5\/5 + l**3\/6 - 9*l**2 - 15. Let c(f) be the second derivative of g(f). Differentiate c(b) with respect to b.\nAnswer: 24*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 275, 245, 217, 191, 167?\n\"Answer: j**2 - 33*j + 307","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 467 + -90. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14313 (base 9) to base 11\nAnswer: -7348","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-2\/25))**(-18\/5)*(d\/((d*(d**(-15)\/d)\/d)\/d))\/((d*d*d**(-1\/3))\/d))**44 assuming d is positive.\nAnswer: d**(290752\/375)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x = -4*x + 4*u + 2, 2 = x - u for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 5*p + 0 = -7, -2 = 2*p. Let n = -1 + r. Solve 2*y - n*y = -4 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in fourty-five halves of a gram?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*i - 331108 + 662222 - 331114 - 5*i.\nAnswer: 8*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dh when two letters picked without replacement from {l: 2, d: 5, n: 3, h: 8, o: 2}?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2744163, -2744165, -2744167, -2744169, -2744171?\n\"Answer: -2*s - 2744161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n + 1. Suppose -3*o = -4*o - 3. Let w(c) be the third derivative of c**4\/12 + 2*c**2. Let q(p) = o*z(p) - 3*w(p). Determine q(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -189924 + 730418. Let q = -240494 + o. What is q rounded to the nearest 100000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -47 - -49. What is the closest to 3\/4 in -4\/7, w, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.01, -9.94, 1.2, -6 in ascending order.\nAnswer: -9.94, -6, -0.01, 1.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -28, 9, 1 in increasing order.\nAnswer: -28, 1, 3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the third derivative of 0 + 1\/12*i**4 - 1\/60*i**5 + 0*i - 1\/2*i**3 + 6*i**2. Calculate g(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74 is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**3 + 2*v**2 + 98*v. Let a(f) = f**2 + f. Determine -2*a(n) + z(n).\nAnswer: -n**3 + 96*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105 = -0*u - 5*u. What is the remainder when 55 - -8 - (-114 + -430) is divided by u?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m**2 - 904*m - 4620 = 0 for m.\nAnswer: -5, 231","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/2*(-4276)\/(-4). Let o = 0 - -2. Suppose o*w - f = -5*t, 0*t - 4*w - 205 = -t. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/(9\/15)*1. Suppose 0 = -y - 2*g + 19 - k, y = g + 2. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*s + 81190 = -88538. Does 39 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22377, 44238, 66099, 87960?\nAnswer: 109821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**3 + 7*s**2 - 3*s + 21. Let y be g(7). Solve y*r = -3*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 79435?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*k**4 + 1 - 5958*k + 5965*k + 12*k**2 - 8*k**4 + 2*k**3 to m*k**4 + g*k**2 + v*k + s + r*k**3 and give v.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3441142623 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -23398 - -26250. Let d be 8\/(0 - 4\/806). Let s = d + b. Round s to the nearest 100.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2612*z - 2791*z + 2 - z**2 - 3)*(0*z + z - 2*z) + (-2*z**3 + 4 - 4)*(2 - 4 + 3).\nAnswer: -z**3 + 179*z**2 + z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -288 - -776. Suppose 2*t - 4*h = 234, -4*t - 2*h = -0*t - d. Suppose -6 - t = -p. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o + 5. Let b be a(5). Let i(f) = f**2 - f + 23. Let c be i(b). Let k = 10 - 10. Solve k = 5*l + z - c, 5*l + 2*z - 15 - 6 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-825)\/(-12) + 2\/8. Let b = j - 13. Suppose 4*h - b = -0*h. Calculate the remainder when 27 is divided by h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -30025*n**2*w**3 + 228*n**2 + 4*n - 2*w**2 wrt w.\nAnswer: -180150*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 240 = -6*w. What is the greatest common divisor of w and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and 11.228?\nAnswer: -3.3684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -333 (base 13) to base 4.\nAnswer: -20211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-18)\/15)\/(-2) + 4216\/40. Let g = -100 + c. Calculate the greatest common factor of g and 54.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -20*v**2 + 38*v**3 + 31*v**2 + 9 - 39*v**3 - 10*v. Calculate o(10).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*l**2 + 0*l**2 + 69*l**2 as c*l + v + m*l**2 and give m.\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(-1\/4)*v)\/v*v\/v**(2\/7)*v*v)\/(v\/(v*v**(1\/3))*v*(v\/(v\/v**1)*v)\/v) assuming v is positive.\nAnswer: v**(151\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 61431180 divided by -5\nAnswer: -12286236","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 230 and 9353686?\nAnswer: 46768430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -47072.7*2\nAnswer: -94145.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*s - 4*s = 18160000. Round s to the nearest 100000.\nAnswer: 2300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oooo. What is prob of sequence ooo?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 341.4048 months to decades.\nAnswer: 2.84504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 3*a + 166 = 6*a, c + 3*a = -44. Let w = c + 32. Does 7 divide -1 - 9\/w - (0 + -13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*(c\/(c\/c**(-5)))\/c*c)\/(c\/(c*c*((c**(-5)\/c)\/c)\/c))*c*c**(-1\/10)*(c\/(((c*c\/(c**(1\/6)*c))\/c*c)\/c))\/c assuming c is positive.\nAnswer: c**(-149\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(14)*-1 - sqrt(14))\/(sqrt(6)\/sqrt(27)).\nAnswer: 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -813*q + 828*q = 0. What is the nearest to q in -2\/7, 8\/15, -2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -8*z**2 - 3*z. Let g(k) = -2*k**2. Determine a(g(h)).\nAnswer: -32*h**4 + 6*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17\/51 - (1 + 0).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -73*w + 8961. Let d be u(122). Solve d*j + 6 = -4*a + 56*j, 11 = -3*a + 4*j for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(1\/2)*w*w*w**(3\/7)*w*(w*w**0)\/w**(-1\/3))\/((w\/(w\/w**0))\/(w*w\/(w\/(w*w\/w**(2\/11))*w))*(w*w*w**3\/w*w)\/w**(1\/2)) assuming w is positive.\nAnswer: w**(596\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ezy when three letters picked without replacement from zzelzzlyz.\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g - 5*q + 7 = -4*q, -q = 3*g - 11 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 10\/3 - 2\/6. Let y(r) = r**3 - 2*r + 4*r**2 + 0*r**3 - 2*r**3. What is the units digit of y(l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 10 = -5. Suppose -o*i + 5*k = 35, -3*i - k - 39 = i. Let m = i + 18. What is the smallest common multiple of 6 and m?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 149\/12 and -74\/182871.\nAnswer: 731484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7692\/363447)\/(4\/16 + 15\/(-28)).\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 36, 44, 70, 120, 200, 316?\nAnswer: 474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(2\/5))**(4\/13)*(w\/w**(-2\/15)*w)\/w**(-3\/4))\/(w**7*(w\/(w\/w**13*w*w))\/w)**7 assuming w is positive.\nAnswer: w**(-18047\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21122 is divided by 7016.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -u**3\/3 + 398*u**2\/3 - 17992*u\/3 = 0.\nAnswer: 0, 52, 346","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5 - -107 - (1 - 1). Let s = -53 + a. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20701665 divided by 51.\nAnswer: 405915","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 134*u - 1526 = 350 for u.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 36 and 103482.\nAnswer: 206964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 48 and 2544.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 144 + -154. Let q(g) = g**2 + 16*g + 65. Let o be q(v). Solve 13 = -o*w - 12 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*g + 5*m - 31, -2*g - m = 205 - 417 + 201 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 2*u**2 - 4030*u + 28112 = 0?\nAnswer: 7, 2008","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f + 11. Let g be z(7). Suppose g*s - 2*s + 7 = 5*j, 4*s - 25 = -3*j. Let h(l) = l**2 - 6*l + 2. Determine h(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.07 + -1.77. Let m = -0.1 - 0.9. Suppose 6 = 5*c + 1. What is the nearest to c in -3, m, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from {m: 1, z: 4, s: 1, i: 1, a: 5, j: 1}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 93b6cc (base 16) to base 15\nAnswer: cb34c8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3 + (-3 - -1) - -1. Suppose -i*p = -4*p + 52. Calculate the common denominator of (9\/8 - 2)*p and -85\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pfff when four letters picked without replacement from feepfeieeefeeeff?\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -23*g**2 + 8*g + 1. Determine u(2).\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1.84527 from -0.2.\nAnswer: 1.64527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 27 and 705.\nAnswer: 6345","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -2*v - 9136985, 0 = v - 0*v - 5. Let i = 1975258 + j. Let c = -3170407 - i. Round c to the nearest one million.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 726\nAnswer: -5\/726","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -367*g + 1117. Calculate the lowest common multiple of 1020 and t(3).\nAnswer: 4080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*u**2\/5 - 48*u\/5 + 52\/5 = 0. What is u?\nAnswer: -13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x + 3*r - 6661, 1670 = -6*x + 7*x - 4*r. Is x - (2 - -1) - 0 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 258 divided by 4\nAnswer: 129\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -23 - -18. Let k be 14\/30 - (-14)\/(-21). Which is the closest to k? (a) 4 (b) l (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 848*t - 54400 = 2548*t for t.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 2*m**3 - 16*m**2 + 27*m - 20. Let k be l(6). List the prime factors of 235 + (2 - 3) + k.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes before 8:39 AM?\nAnswer: 9:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001353627 rounded to 6 decimal places?\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -409245, -409277, -409309?\nAnswer: -409341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -1\/3 (b) -1 (c) 1\/3 (d) -11738\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 63 and 17073?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6471 times 277.7?\nAnswer: 1796996.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 - -8. Solve 7 = -z*p + 3 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -27\/5 in -5\/2, 5, 1, -5, -0.4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 97688?\nAnswer: 2, 12211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28)\/14 - (-1)\/((-3)\/9).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 341, 984, 1631, 2282, 2937, 3596, 4259?\nAnswer: 4926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 18.95227 to two dps.\nAnswer: 18.95","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1006919?\nAnswer: 41, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/1*3\/(-6). Suppose f = 3*p - 45. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-23 + 159 + 219)*(0 + 0 - 1)*(5*w - 6*w - 7*w) to the form v + h*w and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in eight fifteenths of a day?\nAnswer: 46080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(0 + sqrt(2057) + sqrt(2057) + -2 + -5)**2 + (-2*sqrt(34)\/sqrt(2) + (sqrt(612) + 0)**2 - 3*(sqrt(1088) - sqrt(1088)*2)).\nAnswer: -1518*sqrt(17) + 41997","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (45\/(-63))\/(23\/161).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**24\/m)**27*m\/(m*(m**(-20\/7)\/m)\/m*m)*m*m**(2\/7))**(-47) assuming m is positive.\nAnswer: m**(-206001\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -o - 2*j, -5*o + 2*j = 5*j - 3. Suppose 2*y - u + 2*u + 14 = 0, -y + 4*u + 2 = o. Let m be -39*(y\/9)\/(-1 + 3). Solve 4*l - 3 = m for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**3 - 5*j**2 + 2*j - 5. Is n(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mtlgebmgl. Give prob of sequence mggg.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9, -87, -283, -651, -1245?\nAnswer: -2119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2153066818 a multiple of 5385?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -5786397.69 to the nearest ten thousand.\nAnswer: -5790000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 194 divide 28996278?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 13\/((-2184)\/686).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 6 - 6*z)*(0 + 3 - 1) + 2*z - z + 0*z + (51 + 21 + 112)*(5*z + z - 3*z).\nAnswer: 541*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b + 3*b + 2*b. Solve b = 5*r + 30 - 5 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -m - 114. Let o(c) = 2*c**3 + 17*c**2 + 7*c - 15. Let q be o(-7). Let x = m + q. What are the prime factors of x?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 170*l - 175*l = 11, 21 = 3*y - 3*l for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 12110021 (base 4) in base 10?\nAnswer: 25865","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 2*l - 5)*(101 + 133 - 163).\nAnswer: 142*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25876, 64, 23 in ascending order.\nAnswer: -25876, 23, 64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.06 * 33570304\nAnswer: 2014218.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 208825.\nAnswer: 5, 8353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -31? (a) 36 (b) -11 (c) 1\/50\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1\/3)\/(1\/3). Let d(i) = 1. Let g(l) = 5*l - 9. Let s(z) = z + 2*z - 1 + 0*z - 4. Let x(k) = 4*g(k) - 7*s(k). Give n*x(q) + 3*d(q).\nAnswer: -q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 2*r - 2. Give m(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -3*v**2 - 2*v**2 + 2*v**2. Let k(d) be the second derivative of 0 - 7*d - 1\/3*d**4 + 0*d**2 + 0*d**3. What is f(k(c))?\nAnswer: -48*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**2 - s - 2. Let z be (13 - 1)\/(-3) - -3. Let g be m(z). Solve a + 1 = r, g = -5*a - 23 + 3 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -3*f + 15. Let q = -92 + 93. Let d be 4\/(((-8)\/4)\/(2\/q)). Sort f, d, 5 in decreasing order.\nAnswer: 5, f, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.3 + 0.1. Let p = -14 + 15. Which is the nearest to p? (a) -0.1 (b) -5 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 68827 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 units digit of (-525 - 1)*(-3)\/(14\/(18480\/36))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -195.5 - 1119. What is g rounded to the nearest one hundred?\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15 is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2 (b) 3 (c) -0.3 (d) 0.05 (e) 1\/5 (f) -26 (g) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -3179940?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -253, 5, 0.3?\nAnswer: -253","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((sqrt(1584) + sqrt(1584) + sqrt(1584) + (sqrt(1584) - 2*sqrt(1584)))*6 + sqrt(1584)))\/((sqrt(4) + sqrt(64))*1 - sqrt(48)\/sqrt(3)).\nAnswer: 130*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**3 + 12*v**2 + 25*v + 8. What is c(-7)?\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes after 6:07 AM?\nAnswer: 10:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 96 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-29692)\/571 + 29937\/576)\/((-5)\/3).\nAnswer: 1\/64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 57 + 35?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.202139 millimeters to nanometers.\nAnswer: 4202139","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*a*f*p**3*q - a*f - 11*a*p**3*q - 3*a*p**2*q - 2*a + 43*f*p**3*q wrt f?\nAnswer: -2*a*p**3*q - a + 43*p**3*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 707 - 1465. What is y rounded to the nearest one hundred?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -z + 1. Suppose -2*t = 3*v - 18, -59*v - 6 = -62*v + 2*t. Put z, -6, v, -1 in descending order.\nAnswer: z, v, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/(-2 + 4) - (294\/(-189) + 463\/(-63)).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 9\/(-6)*(-19488)\/261. Solve -101*w = -85*w + l for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 907029584 divided by 226757396\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 106112, 106045, 105966, 105869, 105748, 105597?\n\"Answer: -b**3 - 60*b + 106173","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.8, -1, 0, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/12 and (7 - (-9678)\/(-808)) + 5.\nAnswer: 1212","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20272 (base 10) to base 9.\nAnswer: -30724","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 25 + -36 - -17 - (-7)\/(189\/(-78)). Suppose q*o**4 - 76\/9*o**3 + 76\/9*o - 52\/9*o**2 + 8\/3 = 0. What is o?\nAnswer: -1, -2\/7, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-6))\/((-5)\/2*(-704)\/880).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 + 2. Let r be ((-2)\/(-3))\/((-8)\/(-18)). Let n = -456 + 452. Which is the second biggest value? (a) n (b) l (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(128) + (sqrt(128)*-1*-2)**2 + sqrt(18)\/(sqrt(81) - sqrt(9)) + 4.\nAnswer: 17*sqrt(2)\/2 + 516","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - 10 = -5*w, -56*w - 3 = -5*j + 190 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 256?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -74 + 80. Calculate the highest common divisor of 2 and d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -37*d*y - 208988054*d + 23530*y**3 + 2*y**2 wrt y.\nAnswer: -37*d + 70590*y**2 + 4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-2\/5)*u)**13*(u**(-4\/3)\/u)\/u*((u*u*u**(-6)*u)\/u)\/u)**4 assuming u is positive.\nAnswer: u**(-32\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 581922697?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tssaasatesa. What is prob of sequence te?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven halves of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 79 and -2?\nAnswer: -158","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -38*l**2 + 40*l**3 + l - l - 5*l**3 - 40*l**3 to h + z*l**3 + q*l + f*l**2 and give f.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57502.\nAnswer: 2, 28751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - 27*d - 1044 = 7*d for d.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.204*5.\nAnswer: -1.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 2 n when three letters picked without replacement from nnngnnnnfffnnfnnfn.\nAnswer: 11\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1034 minus 0.118?\nAnswer: -1034.118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 47*s**5 + 2*s**3 - 1347*s**2 - 2?\nAnswer: 2820*s**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 62*n**3 + 6*n**2 - 9*n - 1. What are the prime factors of y(3)?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the first derivative of -6*l**2 + 343\/40*l**6 + 4 - 3*l - 147\/10*l**5 - 20*l**3 - 63\/2*l**4. Let b(z) be the first derivative of f(z). Factor b(y).\nAnswer: 3*(y - 2)*(7*y + 2)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 49 + c469?\nAnswer: c4b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(-1\/19))\/(t\/t**(2\/9))*t**(-16)\/(t*t\/(t\/t**13)))**(-1\/3) assuming t is positive.\nAnswer: t**(5101\/513)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**2 - 17*u - 8. What is the tens digit of x(22)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12987708.\nAnswer: 2, 3, 29, 37321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 8.196287 years?\nAnswer: 0.8196287","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1174, -2, 3 in descending order.\nAnswer: 1174, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 505 or 509?\nAnswer: 505","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 8647 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 5*d = 0. Factor d*o**2 - 4*o**3 + 2*o - 4*o**2 + 3*o**3 + 3*o**3.\nAnswer: 2*o*(o - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5253?\nAnswer: 3, 17, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.0573 - -0.05733682. What is f rounded to 6 dps?\nAnswer: 0.000037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 0.2049 (c) -10 (d) -6\/7 (e) 1\/2 (f) -4 (g) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 4*m = -3*t - 36, 0 = 2*m - 2*t + 8. Let f(d) = d**2 + 7*d + 12. Let v be f(-8). Let c = 16 - v. Does c = m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -0*q - q. Suppose -2*v = -t - q, -6*t = -2*t - 20. Solve 3*g = -5*w - v, -g - 3*w = 4 - 2 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -73 - -106. Find the first derivative of l*f**3 + 6*f + 40 - 8*f + 2*f wrt f.\nAnswer: 99*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.04 - -0.26. What is the third smallest value in x, 0.2, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1273664 divided by 122?\nAnswer: 636832\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57499?\nAnswer: 13, 4423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + (-3*(sqrt(637) + sqrt(637)*4 - sqrt(637)) - sqrt(637))*-5 + -2)*-1)**2.\nAnswer: -5460*sqrt(13) + 2691361","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12466 divided by -271.\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 44472637?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3074866?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from xwhhhwhyzfxhwhx.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 + 31 = q. Solve -2*a + 15 = a + 3*r, -3*r + q = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 198 a factor of 523118970?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1199 = 12*a - 1211 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jai when three letters picked without replacement from {j: 1, a: 3, i: 3}.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**3 + 3*r**2 + 4*r + 6. Let k(m) = 10*m**2 - 10*m + 16. Let o be k(3). Suppose 36 = -8*i + o. Determine h(i).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 551 and 76?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -268 divided by -134?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -8*m. Let p(s) = -9*s. Let y(f) = -6*c(f) + 5*p(f). Let l(d) be the second derivative of d**4\/6 - 3*d. What is y(l(r))?\nAnswer: 6*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7506 and 54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -34.440837 rounded to two decimal places?\nAnswer: -34.44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -4*f - 1. Let u be p(-1). Suppose j - 4 = -5, u*h = 3*j + 72. Let c = 62 - h. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.05, -0.4, -0.2.\nAnswer: -0.4, -0.2, 0.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - (-6)\/(-6) - (10 + (-1395)\/63 + 4)?\nAnswer: -13\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 0*p**2 - 5*p + 7*p**2 + 313 - 320. Let y(l) = -l**2 - l + 1. Calculate f(r) + 6*y(r).\nAnswer: r**2 - 11*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10 + 40. List the prime factors of (-4)\/(-16) + p\/8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(-2 + (-22)\/(-10)). Suppose 0*l = -p*l - 30. Is l less than -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*m - 518 = -244 - 400 for m.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gozrzzzcgrgrrggg. Give prob of picking 2 g and 1 r.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -12 in 2, 1.97, -0.3, 0.5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -1555*x**2 - 42*x - 100. Let w(a) = -518*a**2 - 14*a - 35. Let z(k) = 11*w(k) - 4*y(k). List the prime factors of z(-1).\nAnswer: 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 181\/420 and -121\/108.\nAnswer: 3780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -124*k = -33*k + 37*k - 4992. Solve 0 = k*x - 18*x - 21 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 2 l when three letters picked without replacement from vlvlvglvlsvllggvglg.\nAnswer: 7\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 7 = 5. Let z(r) = -r + 2. Let x be z(-2). Suppose -1 + 5 = x*w. Sort w, v, -3 in decreasing order.\nAnswer: v, w, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**3 - 3*r**2 - r + 2. Give w(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1026 and 3767814?\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -2*s + 63. Let k = -129\/2 - s. Let d = 2\/25 - -13\/150. Which is the third biggest value? (a) d (b) -2\/5 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 + -64 + 44 - (-1 + 0 + 14)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1223536 (base 8) to base 7\nAnswer: 2604501","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1437 is divided by 25.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87*s - 179390 + 178607 = 0 for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 259177 is divided by 21.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -76466, -76468, -76470, -76472?\nAnswer: -76474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 797658767 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*d - 117 + 117)*(3 - 2 - 2) + 0*d + 0*d - 2*d + (1 - 2 + 0)*(-5*d + 0*d + 3*d) to the form g*d + j and give g.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**3 - 5*y**2 + 2*y + 2. Let q be f(4). Let p be (-4)\/(-10) + q\/10. Let k = -16 + 15. What is the second biggest value in p, k, 3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.37 - 0.3771. What is k rounded to 3 decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes after 3:32 PM?\nAnswer: 3:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -36 - -50. Let t be p\/12 + -1 + 92\/24. Let n be 1 + -2 - t\/(-2). Are n and 2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 2*c = l - 18, 3*l + c - 2 = 0. Suppose -o - 13 = -l*o. What is the units digit of (9 - o) + -1 + 45?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -4*h**3 - 444*h**2 + 904*h = 0?\nAnswer: -113, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 1081*c**2 + c - 8. Let w be z(2). Let i = w - 2947. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 3, 12, 2, -4 in descending order.\nAnswer: 12, 3, 2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 6*c - 2)*(-1 + 1 + 6).\nAnswer: -36*c + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 s, and 2 h when four letters picked without replacement from {t: 1, s: 2, h: 2}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*p - 2*a - 4, 3*p = -p + 3*a + 13 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2386 (base 11) to base 13.\nAnswer: -155c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -257 + 341. Suppose 4*o - 3*o - 4*v - 36 = 0, -5*o + l = 4*v. Calculate the smallest common multiple of o and 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 154*r**3 - 2*r**2 + r. What are the prime factors of p(1)?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.145 + -0.155. Let t be 0\/4 + 1\/3. Which is the closest to 0? (a) t (b) s (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.3 (b) 8 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8781900 by -6.\nAnswer: -1463650","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8\/3*q**2 + 6 - 8*q = 0. What is q?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**2 - 2450*k + 97088.\nAnswer: 2*(k - 1184)*(k - 41)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -211010332 + 10?\nAnswer: -211010322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d - 1. Let a = -15 + 19. Determine b(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is ecd - -3?\nAnswer: ed1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -4*i**2 + 2*i - 10. Let x be k(3). Let b = x + 45. Does 5 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 145\/28 - 38\/7. Let p = -1 + 9. Let i = -8 + p. Which is the biggest value? (a) w (b) i (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 7453 and 29041?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((10080\/(-100))\/63)\/((-2)\/(-50)).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q = 5*k - 9*k - 1, -3 = 3*q + 3*k for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 5*r - 1. Let q(b) = b**3 + 2*b**2 - 2. Let d be q(-3). Let i(p) = -109*p - 110*p + 333*p - 113*p. Give d*i(c) + 2*v(c).\nAnswer: -c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2119681 or 2119668?\nAnswer: 2119681","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 403 or -279819?\nAnswer: 403","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 13*z**3 - 8*z**2 - 6*z + 1. Let p(t) = 8*t**3 - 5*t**2 - 4*t + 1. Let q(g) = 5*n(g) - 8*p(g). Calculate q(2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wrdddrdrdndwrd. What is prob of picking 1 r, 1 w, and 1 n?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 34*p - 469. Let b be k(14). Let i = 4 - 2. Find the first derivative of b*c**2 + 2*c**2 + 10 + 5*c**i wrt c.\nAnswer: 28*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61336337 is divided by 68?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 10866312 a multiple of 71?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the second derivative of t**4\/12 + 2*t**3 + 39*t**2\/2 - t - 85. Let q be d(-7). Solve -4*g - g + 4*u + 8 = 0, 0 = -2*g + q*u + 8 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7396?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 588460706?\nAnswer: 2, 503, 584951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes before 12:10 AM?\nAnswer: 7:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-10 - 355\/10) + 22 - 21\/(-14)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -150, -694, -1608, -2898, -4570, -6630, -9084?\nAnswer: -11938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -14*d**3 - 2*d + 2. Let a(n) = -n + 1. Calculate -2*a(c) + s(c).\nAnswer: -14*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -2 + 11 + 3*x**2 + 0. Suppose 51 = f - 4*f. Let b(z) = 9*z**2 + 26. What is f*j(p) + 6*b(p)?\nAnswer: 3*p**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = g - 9, 6 = g + 2*l + 1. Put -4, g, 0 in increasing order.\nAnswer: -4, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 306 and 19847058.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3, -20, -55, -108, -185, -292?\nAnswer: -435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from {j: 3, l: 4}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2*b - 3)*(364*b**3 + 690*b**3 - 150*b**3 + 2*b**3 - b**2 + b**2 + (4*b**2 + 6*b - 6*b)*(-3 - b + 3))*(2*b + 0*b + 0*b).\nAnswer: 3608*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:33 PM and 10:33 PM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -2*r + 13. Is 1 + 0 - (7 + (-4842 - r)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -5958*k + 2940*k + 2963*k. Let c(v) = v**2. Give d(c(p)).\nAnswer: -55*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001053178062 to five dps.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -361*b**4 - 4*b**3 - 4*b**2 + 3809 wrt b?\nAnswer: -8664*b - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/301? (a) -2 (b) -14 (c) -2\/9 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17.087 - 9.913. Put -3, 17\/2, x in descending order.\nAnswer: 17\/2, -3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jllnnjlnljlj. Give prob of sequence nlnl.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2239.\nAnswer: 2239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 124 - 248 + 124 - 2*y**3.\nAnswer: -2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/14)\/((-7)\/42).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.4*-45.\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 14777 = t + t, -5*t = -5*z - 36930. List the prime factors of t.\nAnswer: 19, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 19 + -45. Let a = 26.2 + z. Put a, 0.01, 1\/3, 0.1 in ascending order.\nAnswer: 0.01, 0.1, a, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 533 = -3*z + 4*u, -4 = -2*u. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 222564 and 2644584?\nAnswer: 44957928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1698963972 and 636.\nAnswer: 636","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*i**3 - i**5 + 7*i**3 - 10*i**3)*(-1 + 1 + 1).\nAnswer: -i**5 + i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 - 13376b8?\nAnswer: -13376bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 3*y**3\/2 + 10*y**2 + 23*y\/2 - 5 = 0.\nAnswer: -5, -2, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1203734.\nAnswer: 2, 7, 71, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -625*p + 30 = -610*p. Solve -3*l + 11 = p*t + 3*t, -5 = t + 3*l for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2096 (base 13) in base 3?\nAnswer: 20012022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 279*(-22)\/(-495) - (-18)\/6*-2. Let -19\/5*t**3 - 1\/5*t**4 + 0 - g*t - 10*t**2 = 0. What is t?\nAnswer: -16, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -521 = -35*v - 906 for v.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -90.799 or 3\/688?\nAnswer: -90.799","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:11 AM and 10:38 AM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -9*o + 2. Let t(j) = 45*j - 11. Let n(p) = 2*t(p) + 11*x(p). Suppose 53 = -6*l + 527. What is the remainder when l is divided by n(-3)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 526102 is divided by 175345.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -483, -930, -1377, -1824, -2271, -2718?\n\"Answer: -447*x - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 194 and 3880?\nAnswer: 3880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -40623 + 759*x**2 + 40623 in the form z*x**2 + b*x + m and give z.\nAnswer: 759","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.03132 times -61\nAnswer: 1.91052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*g + 6*g + g)*(4 + 2*g - 4) - 3*g**2 + 5*g**2 - 3*g**2 - 7*g**2 - g**2 + 2*g**2 + g**2)*((2 + 1 - 6)*(2 + 0 + 0) - 1 + 4 + 1).\nAnswer: -16*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**3 - 4*h**2 + 3*h + 2. Let y be j(-6). Suppose -16 = -4*o, 2*d - o - 38 = -d. What is the highest common factor of d and y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the first derivative of -3*r**2 - 1\/4*r**4 - 16 - 2*r**3 - 4*r. Let c be ((-2)\/(-3))\/((-1)\/6). Give p(c).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*w + 64 = 48*w. Let p(o) = -o**3 - 9*o**2 - 7*o + 3. Let r(s) = 3*s**3 + 19*s**2 + 13*s - 6. Let a(q) = 5*p(q) + 2*r(q). Determine a(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -55 and 18?\nAnswer: -990","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, y: 1, u: 3, g: 1, i: 2, x: 1}. What is prob of picking 2 m?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000251103 rounded to 5 decimal places?\nAnswer: -0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6959346, 6959345, 6959344, 6959343, 6959342?\nAnswer: 6959341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 897 + -950 - (1 + -67).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((576\/(-189))\/16)\/((-2)\/3).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -21*g**3*t**2 + 2*g**3*t - 13*g**3 + 163*g**2*t**2 + 46*g**2 - 2*t**2 wrt g?\nAnswer: -126*t**2 + 12*t - 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the third derivative of w**7\/1260 + w**4\/4 + 3*w**2. Let k(y) be the second derivative of a(y). Let u(s) = -16*s**2. Give k(u(v)).\nAnswer: 512*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 x, and 2 t when four letters picked without replacement from {t: 9, s: 3, v: 4, x: 1, y: 1}.\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33047070 divided by 2.\nAnswer: 16523535","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w - 1. Let u be s(-10). Let c be (3 + -1)*u + (-12)\/(-3). Let p be 4\/24*3*c. Calculate the highest common divisor of p and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 176875 is divided by 2208?\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -3, 16, 2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -200010222 (base 3) to base 10.\nAnswer: -13229","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 35*c + 9. Let d(g) = 5*g. Give d(q(a)).\nAnswer: 175*a + 45","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ty when two letters picked without replacement from tyz?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 85309387313 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2 from -803.\nAnswer: -801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -90631047*s**2*u**2 + 23*s*u**2 + 10*s + 2*u**2 - 33234*u wrt s?\nAnswer: -181262094*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8224733\/20 + -411240. Suppose -4*y + 55 - 437 = 5*d, 5*y - 2*d = -461. What is the common denominator of v and (1 + 1)\/((-84)\/y)?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-10)\/(10\/(-3)) - (-3)\/3. Let z(n) = n - 6. Let g(r) = -6. Determine h*z(d) - 3*g(d).\nAnswer: 4*d - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 5*k - 1468, 5*k + 0*z + 4*z = 1461. Suppose 2*d - k = d - f, -2 = f. Does 8 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1459*a**3 - 12*a**2 - 459*a + 124064363 with respect to a.\nAnswer: -4377*a**2 - 24*a - 459","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14655921 and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 15, 1, -0.06, -36?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 325327 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.188*10123.\nAnswer: 1903.124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4956004 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**3 - 10*c**2 + 3*c - 2. Let p be b(11). Let s = 15 - -64. Suppose -p = -3*k + s. Calculate the remainder when k is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -86*a + 84*a + 8. Solve 4*p + p + w - 24 = 0, -5*p = -a*w - 29 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -4*u**2 + 4*u + 353. Let w(o) = 8*o**2 - 9*o - 812. Calculate 13*v(j) + 6*w(j).\nAnswer: -4*j**2 - 2*j - 283","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -5*s - 2. Suppose -73 = -2*t + 23. Suppose -n - n = -t. Calculate the remainder when n is divided by z(-3).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqqqqqgqgg. What is prob of sequence gqgg?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 162\/17 - 2*n**2 - 2\/17*n**3 - 126\/17*n = 0.\nAnswer: -9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:48 AM and 4:03 PM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -18926 greater than or equal to -18608?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) -1\/5 (c) -59\/3 (d) -1\/9 (e) -2\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 129 divide 55599?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2446751 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes before 3:59 AM?\nAnswer: 8:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18269288 and 527?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s - 1. Let j(t) = -61. Determine -j(c) - 2*u(c).\nAnswer: -2*c + 63","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**2 + r + 1. Let u(m) = 2*m**2 + 9*m + 6. Let t(y) = -3*s(y) + u(y). Let a be t(6). Let d = -3.2 + 3. What is the closest to 0.1 in 2, d, a?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 22 = -4*b, -b + 5*w = -4*b + 27. Let t(q) = -q**2 + 4*q + 2. Let y be t(b). Find the second derivative of -y + 2 + 0 + k - 5*k**2 wrt k.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 7*b**2 + 641*b + 1278. Calculate the remainder when 934 is divided by r(-2).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the third derivative of 0*q + 0 - 1\/12*q**4 - 5\/6*q**3 + 27*q**2. Calculate n(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.208 (b) -3 (c) -1.8 (d) 2\/3 (e) -2482\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -37251*o**2*r*u*y + 36*o**2*r*y - o**2*r - 2*o**2*y - 2*o*y - 1357*o + 220*r*u*y - r*y wrt u?\nAnswer: -37251*o**2*r*y + 220*r*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 35\/12 and -73\/36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5297702 to the nearest integer?\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a + 458 = -82. What is the least common multiple of 165 and a?\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 7 + 7*o**2 + 10 - 23 + o**3 + 3*o + 21. Calculate v(-6).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 + 111000011001010101?\nAnswer: 111000011001010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes before 5:27 AM?\nAnswer: 9:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 27846?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 248?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 136*m + 31. What is the tens digit of f(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 6 + -10 - -47 - (8 - 5).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 202949 is divided by 104.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(616)\/sqrt(99))\/(sqrt(8) - sqrt(88)\/(sqrt(11) + sqrt(33)\/sqrt(3))).\nAnswer: 2*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -26 + -2. Let r = 16.3 + o. Let c = -11.700000508 - r. What is c rounded to seven dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 319452*m**2*x**3 + 8*m**2*x**2 + 9*m**2*x + 2*m*x**2 + m*x - 16 wrt x?\nAnswer: 1916712*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s + 92 = -328. Let a = 75 + s. Suppose 0 = -2*q - 5*p + 65, -a*q - 4*p + 87 = -67. What is the greatest common divisor of 15 and q?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 35253 + -32650. What is the remainder when o is divided by 75?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 122*y - 123*y + 375 = 0. List the prime factors of y.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 90285?\nAnswer: 3, 5, 13, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 517 + -556.1. Let h = 37 + p. Let x = -2.255 - h. What is x rounded to 2 dps?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 408*q**2 + 10*q - 36. List the prime factors of l(3).\nAnswer: 2, 3, 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 53284, 53310, 53336?\nAnswer: 53362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -4 + (-1)\/(-2)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -875 from -8776.\nAnswer: -7901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 89\/3 or 31?\nAnswer: 89\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f - 3*f = 0. Let d be (f + (-3 - -3))\/(-2). Put d, -5, 8 in decreasing order.\nAnswer: 8, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -7*f**3 + 2*f**2 - f + 194. Calculate the remainder when 224 is divided by c(0).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1522365690 a multiple of 1188?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 8, p: 1, z: 2, f: 1, y: 1, l: 1}. Give prob of picking 2 z.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqozuqhuhhq. What is prob of sequence quqq?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.18213051*1.2.\nAnswer: -0.218556612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 167*o - 12 - o**3 + 13 + 27 - 4*o**2 - 179*o + 15*o**2. Determine v(10).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 3*i**5 + 185*i**4 + 2675*i**3 + 11635*i**2 + 6622*i = 0.\nAnswer: -43, -11, -7, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the third derivative of f**8\/112 + f**6\/24 - f**4\/4 - 8*f**3 - 20*f**2. Find the second derivative of m(n) wrt n.\nAnswer: 60*n**3 + 30*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68821771?\nAnswer: 47, 1464293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 3, d: 3}. Give prob of picking 1 d and 3 m.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(8\/5)\/u*u\/u**(-1\/25))\/((u*u**(1\/12)*u)\/((u*u**(1\/3))\/u)))**(-20) assuming u is positive.\nAnswer: u**(11\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 167694.\nAnswer: 2, 3, 19, 1471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, -1, 3, -14, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -1\/162747783?\nAnswer: -1\/162747783","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b - 140918 = -140662 for b.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 - 10. Let s = 8 + j. Suppose 0*k + 2*k + 6 = 3*u, -s*k = -4*u + 7. Solve -3*w + k = -4*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -7*q**3 - 3*q**2 - 6*q - 3. Let v(d) = -6*d**3 - 4*d**2 - 5*d - 4. Let i(b) = 3*v(b) - 4*w(b). What is the second derivative of i(u) wrt u?\nAnswer: 60*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -41870 divided by -20935?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 1 + 3)*(6 - 6 - y) to the form w*y + j and give w.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -125103145 (base 6) to base 12\nAnswer: -9b7ab5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 - -121. Suppose k = l + l. Suppose 6 = -3*a + l. Calculate the remainder when a is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v*v**(-11)))\/v*v**(-6)\/v*(v**5)**38 assuming v is positive.\nAnswer: v**193","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*n, 2*n - 4*n + 4 = 2*z. Let s(v) = -81*v**3 - 2*v**2 + 1. Let f(a) = a - 1. Let j(y) = -2*f(y) - s(y). Is j(z) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*v**2 - 28*v**2 - 101*v**2 + 20*v**2.\nAnswer: -138*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -46111\/1740 - -1\/1740. Calculate the common denominator of 68\/3 and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1111011111110101101011000000 + 0?\nAnswer: -1111011111110101101011000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(14\/7)\/(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 190, 186, 182, 178?\n\"Answer: -4*c + 194","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 640 and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -8*l**2 - l. Let f = 11 + -9. Let i(w) = -13*w + 113. Let r be i(8). Let o(y) = -16*y**f - 14*y**2 - r*y**2 + 38*y**2. What is t(o(d))?\nAnswer: -8*d**4 + d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -532*u - 63294 = 1561*u + 143913 for u.\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 2*l - 8. Let x be z(7). Which is smaller: x or 7?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 14*m*s*v**3 - 5*m*s*v**2 + 3*m*s - 215*m*v**3 - 3*m*v**2 wrt s.\nAnswer: 14*m*v**3 - 5*m*v**2 + 3*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1935 divided by 877\nAnswer: -1935\/877","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (150\/(-21) + 8)*(-28196)\/318.\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is a - -63a0d?\nAnswer: 63a18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/3)\/((-21)\/(-252))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -9*(40\/(-15) + 2). Suppose 5*k - 4*k = -3*r + 3, -c = 2*k. Let o(p) = 9*p**2 - 7*p**r - 5*p**2. Let i(l) = 8*l. Determine i(o(q)).\nAnswer: -24*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (20\/(-30))\/(4\/(-6))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (1 + 71)\/6*(-18)\/(-4) and 96.\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 13 + 12 = -5*u, 3*u = -12. Suppose 0 = 78*z - 91*z + 104. Let v be 9\/z*(-108)\/891. Is v > k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**3 - 11*m**2 - 39*m - 47. Determine j(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (6 - (5 - 0))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**3 + 14*x**2 + 15*x - 15. Let m be a(13). Let f = m - 137. List the prime factors of f.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 2*l = -18, 0 = 3*g + 5*l - 1 + 4. Calculate the smallest common multiple of 44 and g.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 44607*a**3*h*o**3 - a**3*o + 4150*a**3 - 1024345*a**2*o**3 + a**2*o**2 - 17*a*o**3 + 2*a*o - h*o**3 + 2*h*o wrt a?\nAnswer: 267642*h*o**3 - 6*o + 24900","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4.25 - 4.25. Let i be ((-10)\/6)\/(2\/6). Let u = -0.03 + -0.07. Which is the closest to u? (a) i (b) r (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -34*u - 9. Let d(o) = 7*o + 2. Determine 11*d(c) + 2*r(c).\nAnswer: 9*c + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -255 = -304*d - 2079 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - 5 - (-2 - -2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*d = 14*d - 9 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 94581 - 94582. Let f = 0.36 - -0.04. Sort d, 7, -2, f.\nAnswer: -2, d, f, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 583 (b) -0.2 (c) -3328\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24 + 2*s**2 + 3*s**3 + 24)*(-5 + 2 + 2)*(-3 - 2 - 5).\nAnswer: 30*s**3 + 20*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3 - -6)\/((-30)\/(-440)). Is m at most as big as 44?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i + y + 20 = 0, -2*y + 479 - 486 = -i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes before 8:57 AM?\nAnswer: 6:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -43*v + 87 + 171. What is the remainder when 39 is divided by v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5710902 is divided by 4628?\nAnswer: 4578","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -342, -388, -470, -600, -790, -1052, -1398, -1840?\nAnswer: -2390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 31 = 4*d - 13, 4*d = 2*v - 8. Let u(y) = y**3. Let i(g) = -4*g**3 + 2 - 3 + 1. Determine v*i(m) - 7*u(m).\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 578694490 rounded to the nearest 1000000?\nAnswer: 579000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 2*v**2 - 24764*v + 173232. Determine m(7).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14 + -24. Are c and -10 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 8 = w, -442*s - w - 3 = -441*s + 1 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 666 divide 167415084?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 - 7. Let q be 30\/(2\/((-4)\/j)). Let c = q + -21. Calculate the remainder when 25 is divided by c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8048.01 litres in millilitres?\nAnswer: 8048010","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1583441 is divided by 503.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -2*w + 3. Suppose -5*m + m + 36 = 4*q, 3*q + w = 3*m. Suppose 0*l + m = 5*l. Do -1 and l have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**3 - 12*u**2 + u + 16. Let x be s(12). Suppose -b + 82 = 5*g - 50, -g - b + x = 0. Suppose -5*f - g = -106. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a microgram in nanograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gggffggffgfggfgfffgg. What is prob of sequence gggf?\nAnswer: 99\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -69 - -61.9. Let y = x - -12.8. Let w = -6 + y. Which is the smallest value? (a) 0 (b) 3 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 + 203444223?\nAnswer: 203444220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.5161 * 0.3\nAnswer: -0.15483","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 27 = f - 260, 0 = f - 5*s - 299. Suppose -f*t - 240 = -288*t. Does 9 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 106?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4475520 - 716.\nAnswer: 4474804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -83 - -79. Let d be 27\/12*2 + (-2)\/y. Suppose d*a - a = 140. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11.5 + 3.6. Round s to the nearest integer.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, n: 1, w: 4, m: 2, f: 1}. What is prob of picking 2 m, 1 f, and 1 c?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*x = 15*x + 11. What is the remainder when -8 + (154 - (-3 - x)) is divided by 35?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 135226398.\nAnswer: 2, 3, 17, 137, 9677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n + 25 = 5*s, 3*s - 5*n = 171 - 132 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 37635 - 37633. Let p(i) be the first derivative of 0*i**4 + 35 + 0*i - 1\/5*i**5 + 0*i**3 - 49\/2*i**m. What is the second derivative of p(c) wrt c?\nAnswer: -12*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 399803 is divided by 3417?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/(-6))\/(8\/(-16)). Let s be 3 + 2 + 12408\/(-39). Let t = s + 313. What is the closest to w in t, -3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 188 is divided by 49?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o. Let g(i) be the first derivative of -79*i**3\/3 - 58. What is n(g(b))?\nAnswer: -79*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/21 - -1)\/((-6)\/(-18)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*i*m**3 - 3*i*m**2 - 2*i*m - 20*i - m**3 - 305*m**2 - m + 7 wrt m.\nAnswer: -12*i*m - 6*i - 6*m - 610","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d + 1. Let c be u(0). Suppose -2*n + 3*b = c, -9 = 3*b - 0*b. Let i be 480\/(-440) - (-156)\/22. Sort n, i, -2 in decreasing order.\nAnswer: i, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -3*w**2 - 12*w + 8. Let p(s) = -3 - 4*s**2 + 4*s + 5*s**2 - 2 + 2. Let a(b) = 8*p(b) + 3*v(b). Give a(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -894, -903, -924, -963, -1026, -1119, -1248?\n\"Answer: -l**3 - 2*l - 891","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 16 = 4*y - 0, -4*y - 2 = -2*t. Let j = -82 + 84. Factor 84 - 2*m**2 - j*m**t - 84 - 4*m**2.\nAnswer: -2*m**2*(m + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -75308 or -78737?\nAnswer: -75308","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1650 - -2122. Calculate the least common multiple of 88 and y.\nAnswer: 5192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -889, -873, -857, -841, -825?\n\"Answer: 16*z - 905","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 88 > 100?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11247 is divided by 1591.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -r + 14, 3*r = 2*c + c + 24. Let w be 2\/((-145)\/45 + 3). What is the remainder when (4 + -4 + w)*-2 is divided by r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 5*y - 31. What are the prime factors of n(12)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -4*i - 6*i + 23*i - 11*i. Let y = -10 + 13. Let a(h) = 0*h**2 + 0*h**2 - y*h**2. What is a(j(l))?\nAnswer: -12*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -1 + 2 + 1 - 2*r + 3*r**2. Let i(k) = 2 - 15 - k**2 + 5*k - 3*k + 12 - k. Suppose -o = -3*t + 1 + 1, -3*t - 2*o + 14 = 0. Determine t*i(h) + g(h).\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -418*i**3 - 235*i**2 + 253703 wrt i.\nAnswer: -1254*i**2 - 470*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**3 - 4*j**2 + 6*j + 4. Let n be h(-5). Let l be (n - 1) + (0 - -2). Suppose -5*r + l*r + 45 = 0. Does 7 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9600802385?\nAnswer: 5, 2957, 649361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6, -71, -148, -225, -302?\nAnswer: -379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1590133 is divided by 227160.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add together -41023400 and 96.\nAnswer: -41023304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 449, 1962, 4483, 8012, 12549, 18094, 24647?\n\"Answer: 504*t**2 + t - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 6 = -2*p, -4*j - 5*p = -10. Let h be (90\/20)\/((-4)\/8). Let o be h\/((-81)\/(-45)) + 5. Sort j, 4, o in descending order.\nAnswer: j, 4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the third derivative of x**7\/5040 - x**6\/1440 - x**4\/6 + x**2. Let y(n) be the second derivative of g(n). Factor y(a).\nAnswer: a*(a - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2275, -9111, -20503, -36451?\n\"Answer: -2278*o**2 - 2*o + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 10*r**2 + 137*r + 527. Determine b(-4).\nAnswer: 139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 106733941 a multiple of 3282?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 6570?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.7*2.52.\nAnswer: -6.804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 635763301?\nAnswer: 635763301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0.4, -0.1, -337\/447 in increasing order.\nAnswer: -5, -337\/447, -0.1, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -2 - -15 - (-1)\/(-1)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 779, 8, 258, -6 in ascending order.\nAnswer: -6, 8, 258, 779","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.2, 10, -5, 0.5, -0.4, -194 in decreasing order.\nAnswer: 10, 1.2, 0.5, -0.4, -5, -194","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - 5*d = 0, 0 = 6*p + 53*d + 58*d - 167*d + 57*d for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -15 - 11311?\nAnswer: -11326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(132) + 5*(sqrt(132) + sqrt(132)*-1))*1)\/(sqrt(48) + (4*sqrt(192) - sqrt(48))).\nAnswer: sqrt(11)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**3 - 27*p**2 - 67*p + 52. Determine l(29).\nAnswer: -209","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the first derivative of -392*b**2 + 6198*b - 5545. Differentiate o(f) with respect to f.\nAnswer: -784","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*y - 14 = 38 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 10 + 1 + (0 + -3 - 6)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1410503305?\nAnswer: 5, 29, 61, 159469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 2*l = -12, 2*l = 3*p - 26. Suppose p - 21 = -w. Calculate the remainder when 55 is divided by w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6022503 kilometers in micrometers?\nAnswer: 602250300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 4*y + 150. Let u = 4 - 3. What is the remainder when u - (168\/(-2) + -2) is divided by t(-32)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:13 AM and 2:15 PM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w**3\/17 - 11732*w**2\/17 - 200098*w\/17 + 447108\/17 = 0 for w.\nAnswer: -19, 2, 5883","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-117)\/13 - -1) + 9. Let s be (2\/30)\/((-11)\/(-99)). What is the smallest value in i, -1.4, s?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 4, y: 1, f: 5}. What is prob of picking 1 n and 3 f?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/5 (b) 2 (c) 3\/22 (d) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 5 = 2*a + 43, 6 = 3*l + 3*a. Is l even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*l**4 + 732*l**3 + 24632*l**2 - 842928*l + 1581408 = 0. Calculate l.\nAnswer: -102, 2, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -8*s + 16. Let l be z(-6). Suppose 246 = -d + l. What is the units digit of 24\/36 - d\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 - ((-26)\/10 - 0). Which is the closest to -0.1? (a) -1 (b) w (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -289 + 21?\nAnswer: -268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -25 + 15. Let x be (-8)\/(-10)*q\/(-4). Suppose -3*y - 10 = -8*y. Solve x*p = p - y for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + 2*r - 10 = 0, -k + 4 - 14 = -3*r for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 + 28?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 4*u - 7. Let y be t(7). Suppose -16*o + y*o - 25 = 0. Solve -o*d = 2 + 3 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 9) to base 4.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 23967516.28 rounded to the nearest one million?\nAnswer: 24000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -23120 - 2101?\nAnswer: -31221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*m + 2368476 - 2368476 - 50*m**2 + (-2 + 4 + 1)*(2*m - 2*m - 2*m**2).\nAnswer: -56*m**2 + 10*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -82\/39 and (-6)\/15 + 2187\/(-3510)?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 2 i when three letters picked without replacement from {i: 11, o: 2}?\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*a - 8*a + 3*a - 5*a + 875 + 12*a + 31.\nAnswer: 2*a + 906","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the first derivative of 0*w**4 - 3\/25*w**5 + 16 + 0*w**2 + 0*w - 1\/10*w**6 + 0*w**3. Let l(d) = 0. What is d?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 57\/1519?\nAnswer: 57\/1519","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 139373 is divided by 1190?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: cc96 (base 14) to base 13\nAnswer: 13170","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 7, g: 2, m: 1, c: 1, u: 2, q: 1}. Give prob of sequence uqgc.\nAnswer: 1\/6006","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 6, n: 2}. Give prob of sequence bnbb.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 54 - 24. Let i be 0 - (m\/(-5) + 3). Solve 25 = -3*x - 5*a + i*a, -x + 5 = -2*a for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -58, -238, -546, -988, -1570, -2298?\nAnswer: -3178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:45 AM and 3:25 PM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -80825 - -80824.8. Let c be (-64)\/110 - 2\/(-5). What is the smallest value in 0, 4, k, c?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**2 + p + 2. Let c be n(0). Let h(w) = 39*w - 3*w**c - w**3 - 39*w. Let i(u) = -4*u**3 - 10*u**2. What is -10*h(f) + 3*i(f)?\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3226183 - 61?\nAnswer: -3226244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence acac when four letters picked without replacement from {a: 5, c: 3}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*p - 4*p**2 + 5*p**4 - 4*p**4 + 0*p + 3*p**2 + 2*p**3 as t*p**3 + w*p + z*p**2 + s*p**4 + l and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -407*t**2 + 4*t + 6. Calculate d(-1).\nAnswer: -405","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pppppp. Give prob of picking 2 p.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 52272816 to the power of 1\/2, to the nearest integer?\nAnswer: 7230","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**3*p\/(p**(1\/2)*p)*(p*p**(-1\/9)*p)**9 assuming p is positive.\nAnswer: p**(39\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + 37*g - 18*g - 12 = 16*g, 12 = -4*l - 7*g for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(2\/3)\/(h*h*h**(2\/27))*(h**3*h)\/((h*h*((h\/(h\/(h\/h**2)))\/h)\/h)\/h))**(2\/13))**(-49) assuming h is positive.\nAnswer: h**(-12152\/351)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-6*(-1*sqrt(13) + -5 + 3 + sqrt(117) + -4 + -1))**2*2*-5.\nAnswer: -40320*sqrt(13) + 145440","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 321*v**2. Let o(t) = 2*t**2 + 43*t - 16. Let z be o(-22). Let y(c) = -7*c + z*c - 1 - c + 1. Calculate i(y(w)).\nAnswer: 1284*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 - -1. Suppose 3*q = -3*v - 2*v - 9, -7 = v - 2*q. Let o = v + 5. Solve 2*h = c*h - o for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.42 - -0.08. Let i be ((-3)\/(-12)*-2)\/2. Let v be 2\/(-10) + 4\/(-10). What is the closest to i in v, 1, m?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 113386054.\nAnswer: 2, 56693027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1767.626 + -1766. Let g = -0.244 - u. Let n = 1.87000154 + g. Round n to seven dps.\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3381604880 to the nearest one million.\nAnswer: -3382000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-18) - (((-7404514)\/(-2709))\/74 - 12\/7).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 31 + (-4 + 11 - ((-22 - -10) + 12)).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -65 - -5?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3 - -1)*1 - -5. Suppose -n + l = 2. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 891 and 1003.\nAnswer: 893673","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 72787523?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 2*n + 3. Suppose 5*u = 3*s - 35, 2*u + 23 = -0*u + 3*s. Let h(k) = k + 2. Let b(r) = u*d(r) + 6*h(r). Let a(t) = 4*t**2. What is a(b(m))?\nAnswer: 16*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -27*s**2. Let x(y) = 255*y**2 + 5*y. Calculate x(z(d)).\nAnswer: 185895*d**4 - 135*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6.77 + -1.72. Let c = 0.05 - t. Let q = 760 + -756. Put c, -2\/5, -6\/11, q in decreasing order.\nAnswer: q, -2\/5, -6\/11, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 135098008 and 464?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i + 2 - 6. Suppose p - 79 = i*x, 0*x - 25 = 5*x. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 2*x = 72790, -4*x - 136122 = -4*r - 39102. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 731035091 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**2\/3 - 12920*p\/3.\nAnswer: p*(p - 12920)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -7*j**2 + 4*j + 3 + 4 + 6*j**2 - 8*j. Let c be x(6). Does 47 divide -1 + -3 - (8\/4 + c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*o*o**(-4\/9)*o**(-2\/5)*o*(o\/(o\/((o*o\/o**(-4\/7))\/o)))**30 assuming o is positive.\nAnswer: o**(15529\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v - v + 3*n - 138, -12 = -4*n. Suppose -j - v = -4*j + m, 0 = -j + m + 11. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1 (b) 1 (c) 2112 (d) 0.4 (e) -3\/8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the first derivative of 7*k**2 - k - 5. Give t(2).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from {o: 2, a: 2, b: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 364?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 103*r**3 + 474*r + 111*r**3 + 518*r**5 - 214*r**3 wrt r.\nAnswer: 10360*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 583750 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 5*(sqrt(38) + (sqrt(38) - -1*(sqrt(38) - sqrt(3078))))\/(sqrt(12)\/sqrt(294))*5)**2*-2.\nAnswer: -41895032 - 16800*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a + 5, -15880 = -z + 6*z - 5*a. Let h = -2204 - z. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, 0.08, -5, -0.03, 1, 5.\nAnswer: -5, -0.03, 0.08, 1\/2, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10*(-7)\/12*(-489)\/2282.\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 815487 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -567, -571, -577, -585?\nAnswer: -595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2088, -2046, -2006, -1968, -1932, -1898, -1866?\n\"Answer: -s**2 + 45*s - 2132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + 2*y - 5*n - 71 = 0, -8*y - 668 - 342 = -3*y + 67*n for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7\/9 + -47\/72. Let y = 3\/8 + h. Which is the third smallest value? (a) 3\/4 (b) 0.3 (c) y (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0003055 rounded to 4 decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the second derivative of -t**4\/6 + 28*t**3\/3 + 153*t**2\/2 - 3*t + 37. Differentiate s(c) with respect to c.\nAnswer: -4*c + 56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16769 * 0.5\nAnswer: 8384.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 24016?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -94*w - 10 - 272. Let q(b) = -b**2 + 8. Calculate q(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -5*z - 7 - 4 - 4*z. Let m(b) = b + 5. Let v be m(-3). Let a(o) = -3*o + 1 + 1 - 4 - 4*o + 5*o. What is v*q(c) - 11*a(c)?\nAnswer: 4*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((-1)\/2)*(-88)\/(-44)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 157bbbb - 1?\nAnswer: 157bbba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-7)*s**(-10))**(8\/13))**(-38) assuming s is positive.\nAnswer: s**(5168\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1197306350 to the nearest integer?\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 2102112 (base 3) to base 6\nAnswer: 12105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -23*k - 4*k**2 + 1\/3*k**3 + 80\/3.\nAnswer: (k - 16)*(k - 1)*(k + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 0.01 (b) -63 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1064857 - -636547. Round g to the nearest 1000.\nAnswer: -428000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 117*t - 13 - 403*t**2 - 117*t.\nAnswer: -403*t**2 - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + (-2 - (-7 - -15))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**2 - 3*s + 12. Calculate the remainder when w(5) is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/9, -2\/11, 2\/7, 6\/7, 0, -238 in descending order.\nAnswer: 6\/7, 2\/7, 0, -2\/11, -4\/9, -238","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 252*q - 1. Let u(l) = 760*l - 2. What is 14*g(y) - 5*u(y)?\nAnswer: -272*y - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -3 (b) 5 (c) 11 (d) -47 (e) -0.3 (f) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - (11\/(-5) - -1))\/((-246)\/1640).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8907186, 17814376, 26721568, 35628762, 44535958?\nAnswer: 53443156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33.35303 meters to millimeters.\nAnswer: 33353.03","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:00 AM and 11:01 AM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of -33 and 3.52248.\nAnswer: -116.24184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 135*o - 7627 + 5197 = 0 for o.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**3 + 9*h**2 + 8*h + 15. Give v(10).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is (60\/(-24) + 2)\/(1\/(-3650)) a multiple of 109?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/25*(-40)\/108*(1 - -2).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -d**3*r**2 - 55*d**3*r*z**2 - 25*d**3*r*z + 60623*d*r**2*z**2 + r*z**2 + r wrt r.\nAnswer: -2*d**3 + 121246*d*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 495 is divided by 358?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -52 + 55. Let m(y) = y**3 + 8*y**2 + 3*y + 6. Let c be m(-7). Suppose -c = -z*g + 44. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 5 + 4)*(3*t - 5*t + 0*t)*(5 - 3 - 4)*(-2*t**3 - 2*t**3 + 5*t**3) to v + m*t + q*t**4 + c*t**2 + k*t**3 and give q.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes after 3:37 AM?\nAnswer: 4:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.8 in -107, -0.1, 0.1, 0.3, 1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 191 * 64.9\nAnswer: 12395.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71 = -j + 146. Suppose 0 = 4*x - j - 33. Calculate the remainder when 100 is divided by x.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -27.7 + 9.6. Let m = 18 + s. Let n(p) = 2*p**2 + 2*p. Let w be n(-2). Which is the third biggest value? (a) w (b) m (c) -1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 - 11. Let t = 0.3 + 0.7. Let o = -0.293 + -0.007. Which is the second smallest value? (a) t (b) o (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - (-3 + 1 + 4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -20.6061 - -40953\nAnswer: 40932.3939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(14) - (sqrt(14) - (sqrt(14)*-4 + sqrt(14))*1))\/((sqrt(2) + sqrt(6)\/sqrt(3))*-6).\nAnswer: sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 4)*(3*l + l - l) + (-6*l + 3*l + 2*l)*(1 + 3 - 3).\nAnswer: 11*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 - 614?\nAnswer: -613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqqeddeddeqdiiddei. What is prob of picking 1 e, 1 q, and 1 d?\nAnswer: 140\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 76062920 and 30080?\nAnswer: 1880","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 189514.23 months in millennia?\nAnswer: 15.7928525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3595 a factor of 1720306368?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 + 1. Let t be (-6)\/(1\/(4\/6)). Let k(z) = z**3 + 4*z**2. Let l be k(t). Which is the biggest value? (a) s (b) 5 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11.6 * 0.034743\nAnswer: 0.4030188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 + 0. Let p(s) = 4*s - f*s - 2*s. Let o(w) = -w + 1. Give -2*o(n) + 3*p(n).\nAnswer: -n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -79*d**2. Suppose 0 = -30*t + 88 - 28. Let w(f) = 3*f**2 - 2*f**2 + f**2 + f**t. Determine c(w(a)).\nAnswer: -711*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -965, -566, 99, 1030, 2227, 3690, 5419?\nAnswer: 7414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**3 + 30*i**2 + 59*i + 319. What is t(-28)?\nAnswer: 235","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.031666 less than -0.2955488?\nAnswer: -0.3272148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1864 to the power of 1\/2, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**2 - d + 1. Let u be r(2). Let z be 11\/3 - u - 1. Which is the smallest value? (a) 1\/3 (b) z (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 8\/3 of a century?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**1\/(a**0*a*a*a)*a*a\/(a*(a**(-7\/4)\/a)\/a*a)*a*a**(-2\/5) assuming a is positive.\nAnswer: a**(47\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 4*a**2 + 2*a + 952. What is the thousands digit of o(-24)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8692760.71 rounded to the nearest 1000?\nAnswer: -8693000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a**(2\/9))\/a**(-2))\/(a**3*a*(a*a*a**3*a)\/a))\/((a**0)**(-2\/53)\/(a**(1\/3))**(-3\/4)) assuming a is positive.\nAnswer: a**(-217\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2189\/284 - 3\/71. Let z = p + 11\/2. What is the common denominator of z and -115\/56?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - 25 = 4*n, x - 15*n - 30 = -10*n for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02 plus -1.2754648?\nAnswer: -1.2954648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 1 i when three letters picked without replacement from {i: 3, e: 11}.\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -20 + 19.8. Which is the closest to -0.1? (a) 0.3 (b) -2\/7 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/5, -2\/5, 1\/5, -4 in decreasing order.\nAnswer: 1\/5, -2\/5, -3\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the first derivative of l**7\/1050 + l**6\/150 + l**5\/60 + l**4\/60 + 3*l**2\/2 + 2. Let g(w) be the second derivative of i(w). Factor g(m).\nAnswer: m*(m + 1)**2*(m + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*r - 8*r = 0. Is 1 less than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 9.589925 microseconds?\nAnswer: 0.000009589925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(300) - (sqrt(300) + 0)))**2 + 2*(-2*sqrt(300))**2.\nAnswer: 2400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*m + 453 - 481. Let p = -0.303 - -5.343. Let x = p - 0.04. Which is the nearest to 1\/6? (a) -2 (b) m (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the first derivative of -d**5\/5 + d**4\/4 + d**3 - d**2\/2 - 2*d - 6. Solve m(r) = 0 for r.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 53 and 0.03?\nAnswer: 52.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 4*t**2 + 2*t**3 + 5*t**2 - 4*t**3 - 2*t**4 + t**2 to y*t**2 + v*t**3 + q*t + r + s*t**4 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, 20.5, -1\/3, 0.06, 3, -2 in decreasing order.\nAnswer: 20.5, 17, 3, 0.06, -1\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*j*t - 9*j + 32*t - 2856 wrt t.\nAnswer: -6*j + 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -55935, -55935, -55933, -55929, -55923, -55915, -55905?\n\"Answer: m**2 - 3*m - 55933","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -737*-124.\nAnswer: 91388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**3 - 8*l**2 - 6*l + 7. Let a be k(-7). Suppose a = 3*o - 6*o + 6. Suppose -2*s - 3*c + 722 = 0, -s + o*c = 5*c - 367. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 + (-14 + 14 - 13)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/((-200)\/30)*45\/(-315)*-448.\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**2 - 4*k - 17. Let v be s(7). Let z be (v\/10)\/((-71)\/(-355)). Factor -3\/5*i**3 + 0*i**4 + 1\/5*i**5 + 0 + 0*i - 2\/5*i**z.\nAnswer: i**2*(i - 2)*(i + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -12*z + 11*z**2 + 8*z**3 - 9*z**3 + 470 - 473. Give m(9).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 73*d - 227 - 868 for d.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l*(l**(-2\/9)\/l*l)\/l)\/l*l)\/(l*l\/(l\/((l*l\/(l*l\/l**(-1\/5)*l))\/l))*l))\/(l**22)**(-23))**(4\/13) assuming l is positive.\nAnswer: l**(91076\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 5*b**2 + 3*b - 2. Determine q(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 2*y**2 - 38*y + 3. Let m be g(19). Let o = 0.1 - 0.1. Let u = 1 - o. What is the second biggest value in m, -3, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-six fifths of a hour in seconds?\nAnswer: 33120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 6*z - 3. Let s(r) = 2*r - 1. Let j = 3 + -1. Suppose 0 = 34*v + 61 + 177. What is j*a(x) + v*s(x)?\nAnswer: -2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -7) + (-8 + 4 - -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/121, 13, 2, 2.1, 0.5, 12 in descending order.\nAnswer: 13, 12, 2.1, 2, 0.5, -2\/121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 + 23.40582?\nAnswer: 23.10582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 42684 divided by -266\nAnswer: -21342\/133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/4, 11170, 5, 2, 1\/2 in decreasing order.\nAnswer: 11170, 5, 2, 3\/4, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence khhk when four letters picked without replacement from {h: 3, q: 5, k: 4}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 9112469 rounded to the nearest one million?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -4*a**2. Let s(q) = 124*q + 0*q**2 + 146*q - 290*q + q**2. Give s(y(h)).\nAnswer: 16*h**4 + 80*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-1 + sqrt(1100))**2.\nAnswer: -20*sqrt(11) + 1100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13 - -19. Let g = 4 - t. Let p = 5 + g. Solve w = -0*w - p for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*p + 3*p - 3*p)*(3 - 2 + 0) + (-2 + 5 - 1)*(-2*p + 0 + 0) + 34 + 40 - 65 - 2*p to d*p + u and give d.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 40 - 11. Suppose 0 = 3*n - 43 - y. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 354697853 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 (base 10) in base 4?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 3*w + 27. Let n be (-10)\/(-8)*52\/39*3. Let i(l) = -5*l - 56. Let z(y) = n*g(y) + 2*i(y). Let v(d) = -2*d - 8. Determine -8*v(p) - 3*z(p).\nAnswer: p - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1152 by 32.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 + 6. Suppose -11 = -t*i + 4. Suppose -5*k = -o - 108, 0 = -i*k + 5*o + 33 + 87. Solve 4*p - 7 - 24 = 3*l, 5*l + k = -p for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -43*c - 12. Let y(g) = 15*g + 4. Let q(o) = -4*a(o) - 11*y(o). Let f(w) = 57*w + 33. Let m(k) = 4*f(k) - 33*q(k). Let v(x) = -x. Determine m(v(r)).\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5 or -0.0703?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13846.\nAnswer: 2, 7, 23, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 38.64 + -38.6087. Round p to 1 dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -13*n**2. Let i(b) be the third derivative of 0*b + 0*b**3 + 0*b**4 - 101*b**2 + 1\/30*b**5 + 0. Calculate i(o(h)).\nAnswer: 338*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/(-11)*(-1496)\/(-85)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(1\/3))**(-1\/3))**(-39) assuming x is positive.\nAnswer: x**(13\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 4) to base 5\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 42\/37 and -21\/962.\nAnswer: 962","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -204 + 294. Suppose u - 294 = -4*t. What are the prime factors of t?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1693203 divided by -564401\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9200 is divided by 78.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -45 - -54. Suppose -3*w = n, 3*w + 2*w = -p - 3. What is the remainder when 42 is divided by p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-90995)\/(-54597))\/(22\/(-36))?\nAnswer: -30\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 16734346*k**5 - 11659*k - 538.\nAnswer: 334686920*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-2 + (-1 + (sqrt(242) - (0 + sqrt(242))) - ((sqrt(242) - -5*-2*sqrt(242)) + sqrt(242))))**2.\nAnswer: -528*sqrt(2) + 15496","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 11 (b) 2\/9 (c) 0.13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/7 + 3190\/770. Let i = 0 + 1. Let p = -0.6 + i. Sort 0.2, s, p in descending order.\nAnswer: s, p, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 502177?\nAnswer: 13, 38629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -6*h**2 + h + 14. Suppose -3*t = 5*o + 12, -4*t - 17 = -1. Suppose o = i - 4*i + 30. Calculate the least common multiple of f(0) and i.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -2. Suppose -6*y - 6 = 6. Let p(z) = -2*z + 11. Let x(b) = y*p(b) - 10*k(b). Calculate the remainder when x(7) is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 33831 and 189?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 546250 and 11780.\nAnswer: 33867500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -2*u**3 - 5*u**2 - 14*u - 13. Let l be c(-3). Calculate the greatest common factor of 4978 and l.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 9b68 - 7cac?\nAnswer: 1c9a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a factor of 1863?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(60)\/sqrt(3))*4.\nAnswer: -12 + 8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g + 18. Let v(f) = -266 + 74 + 72 + f + 73 + 64. Give -3*l(o) + 4*v(o).\nAnswer: o + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9856976ns in microseconds?\nAnswer: 0.0009856976","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 13*y**2 - 9. Let r(n) = 6*n**2 + 2*n - 4. Let z(w) = 2*w. Let p(v) = r(v) - z(v). Let t = 1 + -5. Calculate t*d(k) + 9*p(k).\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8454742ml to litres.\nAnswer: 0.0008454742","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 36 = 2*s + 34, 2*s = -u + 2. Let f(y) = -y**3 + 11*y**2 + 10*y + 12. Calculate f(u).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10479483174 - 1828?\nAnswer: -10479485002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8680 and 5952?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 29125 and 50?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 - 5. Let b(j) = -10*j**3 - 1. What is the lowest common multiple of 9 and b(w)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/3, 53, -0.5, -0.2.\nAnswer: -0.5, -0.2, 5\/3, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 192*u**2 + 302*u + 18. Is 42 a factor of v(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -20*r + 17*r - 9 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -176 - -180. Suppose 2*k + 1280492 = 5*l, -4*k + 5*k = c. What is l rounded to the nearest ten thousand?\nAnswer: 260000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56\/7*(-17)\/102?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-58)\/261*(-4824)\/4556.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (26\/4)\/(((-770)\/22)\/(-70))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**1\/t*t**(1\/7)\/t)**(19\/2)\/(((t\/(t*t\/(t*t\/t**(2\/11)*t)*t)*t)\/(t**(-3)\/t))\/(t**(-1\/4)\/t**(-1\/3))) assuming t is positive.\nAnswer: t**(-12823\/924)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (13*l - 4*l - 6*l + 2)*(-263 - 105 + 651 - 6*l**3) as o + h*l**4 + i*l**2 + t*l + d*l**3 and give o.\nAnswer: 566","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8986?\nAnswer: 2, 4493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -26a5 (base 11) to base 14\nAnswer: -13c3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vgvgggvvvgvv. What is prob of sequence vvgg?\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:19 PM and 1:52 PM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 62 - (1795 - 1792).\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10855787 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/162 and -5\/1062.\nAnswer: 9558","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**3 - 2*d**2 - 2*d - 2. Let y(t) = t**2 - 6*t - 9. Let v be y(7). Let i be m(v). Let h = -1 + 3. Is i less than or equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23242*c - 23072*c = -414 - 266 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 2*x**2 + 29*x + 1. Let p(y) = -11*y**2 - 159*y + 2. Give p(m) + 5*w(m).\nAnswer: -m**2 - 14*m + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 3*p - 1940015, -5*p = 5*q - 1202118 + 6052093. What is q rounded to the nearest one million?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -167544 + 11146?\nAnswer: -156387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 85 - 81. Which is the closest to -2\/7? (a) 1 (b) 2 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the third derivative of v**6\/120 - v**5\/60 - v**4\/24 + v**3\/6 - v**2. Is z(2) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 5*d + 1. Let l(t) = 17*t**2 - 17*t - 15. Let s(y) = 4*a(y) + l(y). Let m(r) = -9*r**2 - 2*r + 6. What is -11*m(u) - 6*s(u)?\nAnswer: -3*u**2 + 4*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -2*l + 371, 4*l + 202 + 326 = -4*u. Let a = 291\/2 + u. Let r = -1920 + 13491\/7. Calculate the common denominator of a and r.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: -0.1 times 264.9\nAnswer: -26.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (2 - 5 - (4 + -6))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j - 3. Suppose 0 = -4*x - 4*g, -4*x + 7 + 11 = -5*g. Suppose 5*y = -4*q + 22, -x*q + 2*y + 2 = -0*q. Let t be h(q). Which is smaller: 1 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q + 1 + 3*q**2 + 3*q**3 - 3*q**4 - 1 + 0.\nAnswer: -3*q*(q - 1)**2*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2 - 1\/3*y - 1\/9*y**2.\nAnswer: -(y - 3)*(y + 6)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111011111111 - 11000010?\nAnswer: 111000111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 783751272 and 136?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**2 - m - 4. Let x = -4640 - -4649. What is u(x)?\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(11) - (sqrt(11) + (sqrt(176))**2)) + -4 + (sqrt(891) + -1 + sqrt(891))**2.\nAnswer: -36*sqrt(11) + 3381","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35 (base 6) to base 4.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jcdbidf. Give prob of sequence bf.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 262 divided by -39981\nAnswer: -262\/39981","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**3 + 14. Let d be t(0). Let q = d - 14. Let b be 2\/(-1)*6\/(-4). Solve q = 2*l - b*l - 5 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1301670707 rounded to 5 dps?\nAnswer: -0.13017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -157.234 + 0.234. Let f = m - -151. Which is the nearest to f? (a) -4 (b) -1\/5 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 148 = -0*b. Let y = b - -53. Let f be (-10)\/(-2) + -7 + 5 + 1. What is the greatest common factor of y and f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (17170\/(-920) - 7) + 11 + 14 and (-1077)\/(-270) - (-2)\/5.\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((q\/q**(-3))\/q)\/q**(-6\/7))**(3\/16))**27)**(-4\/11) assuming q is positive.\nAnswer: q**(-2187\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8778*q - 8684*q - 376 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 171837*s = 171731*s + 5830 for s.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 45*k**5 - 125*k**4 + 105*k**3 - 15*k**2 - 10*k.\nAnswer: 5*k*(k - 1)**3*(9*k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -121*z - 36. Determine n(3).\nAnswer: -399","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 21, 266 in descending order.\nAnswer: 266, 21, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -13*a + 17*a. Suppose 0 = 5*w - 7*y + 2*y - 320, 0 = -5*w + a*y + 317. Suppose -3*f + w = -47. Does 12 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12b (base 15) to base 7\nAnswer: 530","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 774.9174 millilitres in litres?\nAnswer: 0.7749174","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(2448)*-1 + sqrt(2448) + sqrt(2448))*4)**2 - ((sqrt(17) - ((sqrt(136)*-3 + sqrt(136) + sqrt(136))\/sqrt(8))**2) + 3*sqrt(68)\/sqrt(4)).\nAnswer: -4*sqrt(17) + 352529","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**3 - 8*y**2 + 5*y + 7. Let p be a(7). Let z = p - -9. Suppose 3*r + 23 = 5*r + 5*d, -r + z*d = -16. What are the prime factors of r?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6*50\/1250*-5\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 96893 divided by -2\nAnswer: -96893\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 10692?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1000011010111 (base 2) to base 8\nAnswer: -10327","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from sbbbbebesbbbbababb.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 19*f = 14*f - 158, 334 = 4*g - f. Is g a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z - 10. Suppose 3*t - 3*p - 49 = p, 4*p + 16 = 0. Let r be j(t). What is the remainder when r\/(-5) - 513\/(-15) is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes after 12:22 PM?\nAnswer: 8:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14 + -7. What is the units digit of 51\/g - 2\/7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/((-52)\/4 - -7). Which is the closest to -1? (a) 0.5 (b) -1\/3 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -294*s + 268*s - 260 for s.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -397 - -653. What is the lowest common multiple of 36 and f?\nAnswer: 2304","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 5*l = -2*z + 1298, -5*l = -3*z + 1947. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 22706600?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*p**2 + 7*p**2 - 13*p**2 - 22)*((-2 - 1 + 1)*(-2 + 3 + 1) - 1 + 2 - 2 - 3 + 4 - 3) as m*p + c*p**2 + a and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 43 or -174?\nAnswer: -174","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 - 3 = 5*p. Suppose p*x = -f, 2*x - 6 - 2 = -5*f. Suppose 0 = 4*g - 4*r - 140, f*g + 3*g = 3*r + 175. List the prime factors of g.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 + 154021134?\nAnswer: 154021134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1084 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -9*z**2 - 3*z - 3. Let n(t) = 8*t**2 + 2*t + 2. Let u = -575 + 571. What is u*d(f) - 6*n(f)?\nAnswer: -12*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/60*(-10)\/(-3)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3489386?\nAnswer: 2, 17, 6037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 28227 and 2006736?\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**3 + 16*f**2 - 17*f + 31. Let d be h(15). Let k be d*(6 + -5) + 2. Solve -2*q - 4 = -k*m, 4*q - 3*m = -2*m + 2 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 9 = -2*x. Let i(b) = -b**3 - 5*b**2 - 5*b + 1. Let d be i(x). Suppose -u - 6 + 14 = 2*q, d*q = -5*u + 25. Solve 5 = -4*r - q for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39369045 to the power of 1\/2, to the nearest integer?\nAnswer: 6274","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 36772?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 75208843 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.97 - -0.23. Round t to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*c**2 - 28*c**2 + 2 + 5*c**3 + 15*c**2 as f*c**2 + n*c**3 + o + z*c and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 2*w**3 + 2*w**2 - 3*w - 17. What is v(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2237236 a multiple of 122?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -2*v + 36, -5*o + 11 - 29 = -v. Suppose 3*h = 2*x - 155, 3*h - 103 - 92 = -3*x. What is the remainder when x is divided by v?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2975?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 372*h + 17*h**2 - 530*h + 77*h + 81*h.\nAnswer: 17*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3003*w**5 + 160*w**3 + 996*w - 783.\nAnswer: -60060*w**3 + 960*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 x, and 1 m when three letters picked without replacement from {m: 5, n: 10, x: 2, s: 1, v: 2}.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-107 + 12 - 242 + 49)*(-5 + 2 + 0)*(-4*i - 4*i + i) as w + n*i and give n.\nAnswer: -6048","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1012, 2028, 3046, 4066, 5088, 6112?\nAnswer: 7138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 400 + 320 = 5*t - 3*m, 2*t + 3*m = 309. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-1\/3)\/s)\/s)\/s**(-2\/17)*((s**(4\/5)\/s)\/s)**(2\/15) assuming s is positive.\nAnswer: s**(-3029\/1275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -19*n**2 + 13*n + 13. Let v(q) = -9*q**2 + 6*q + 6. Suppose s + 36 = -3*a, -a + 4*s - 16 = 9. Give a*v(h) + 6*m(h).\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 597266?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40719 + 117675 = -2064*q - 1041*q + 773*q for q.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 10*r**2 + 3*r**5 + 1000*r - 22*r**2 - 1036*r + 18*r**4 + 27*r**3 = 0. Calculate r.\nAnswer: -3, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-2))\/(6\/3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**1*u)**(1\/14)\/((u\/(u**(4\/9)*u)*u)\/(u\/u**(-3\/4))) assuming u is positive.\nAnswer: u**(337\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1017*v - 21 = 1020*v for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -581 - -8754?\nAnswer: 81b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -23*n**3 - 2*n**2 + n. Let v be ((-198)\/(-24) - 8)*4. Give x(v).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y + 2*y + 5*y)*(-15 - 13*y + 15 + (1 - 3 + 1)*(0*y + 0*y - 2*y)).\nAnswer: -44*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 3, s: 4}. Give prob of picking 1 s and 3 g.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 + (1 + -2)*-2. Let t be -4 + -1 + k + 1. Let z(v) = v + 1 + 0*v + 0. Give z(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -19, -0.01, -0.4 in descending order.\nAnswer: -0.01, -0.4, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - ((4 - 9) + 6) - 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 17\/268?\nAnswer: 17\/268","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 16372 = 2*x, -4 - 4 = 2*x. Suppose -8190 = 4*t + 2*n, 2*t + 7*n + a = 2*n. What is the units digit of ((t\/(-20))\/(-8))\/(2\/(-20))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 68980441?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -13*l - 445. Let i(v) = -27*v - 889. Let k(y) = 3*i(y) - 7*q(y). Determine k(-45).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 14*c**4\/13 - 6756*c**3\/13 - 16080*c**2 - 972928*c\/13 - 983040\/13 = 0. Calculate c.\nAnswer: -24, -4, -10\/7, 512","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**3 - 3*a**2 + 3*a + 3. Suppose -4*n = -0*s + 2*s + 6, n + s = -4. Let k(z) = -n + 3*z**3 - 5*z**3 - 4 + 5*z**2 - 5*z. What is -6*k(p) - 10*o(p)?\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 109\nAnswer: 3\/109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4970\/84*3\/(-150)*(-55)\/(-22) - -3.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -8*u - 2. Let h(v) = v. Let k(x) = -c(x) - 6*h(x). Let s be (2\/(-5))\/((-2)\/10). Let y(r) = s - 1 + 0. Give -k(o) + 2*y(o).\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/10 of a milligram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -309 - 153. Find the common denominator of -43\/7 and (-3)\/(-2)*m\/18.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -675200 to the nearest ten thousand.\nAnswer: -680000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 6*a - u + 2, 6 = -a + 5*u. Calculate the remainder when (21 - 16)*(a - -2) is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 7.6, 2, -3, -69, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-511 + 5*x**2 + 261 + 256)*(-3 + 5 - 1).\nAnswer: 5*x**2 + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -127893.59 + 128604. What is j rounded to the nearest 100?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 41 + 57)*(1 - 2*x**2 - 1) - 3*x + 2 - x**2 + 3*x as a + s*x**2 + p*x and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*y - 50220 - 4*y**3 + 9*y**4 + 2*y**3 + 50228 to l*y**3 + v + m*y + g*y**4 + q*y**2 and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n = -5*i - n - 28, -22 = 2*i - 4*n for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + v - 134 = 0, -3*j + 0*j + v = -74. Let r = -20 + j. Solve r = -4*t - 5*x, -t + 2*x - 3*x - 1 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -8\/31, -0.06, 1\/4, -5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 300629 and 134.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 45, 2.6, 6, -0.7, 17\/4, -0.1?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 4 - 3)*(-1 + 0 - 2) - 4 - 4 + 6)*(16*d**4 + 174 - 174).\nAnswer: 16*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 7, -1329, 1, 9.\nAnswer: -1329, -3, 1, 7, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 6\/215?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes before 1:16 AM?\nAnswer: 6:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 173*d**2 + d - 2. Let k be b(1). What are the prime factors of (12\/(-16) - -1)*k?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -54*s - 269. Let c(p) = 19*p + 90. Give -8*c(l) - 3*g(l).\nAnswer: 10*l + 87","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -165*m**3 + 2628291*m + 84*m**3 + 42*m**3 - 2628291*m + 2.\nAnswer: -39*m**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 313 + -315. What is the second biggest value in k, 0.3, 1\/4, 4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, 9, 302 in descending order.\nAnswer: 302, 9, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 17*x - 89. Let d(h) = -50*h + 263. Let g(n) = 4*d(n) + 14*f(n). What is the derivative of g(w) wrt w?\nAnswer: 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -o + 21*o - 21*o.\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 4*p - 29 = 0, 0 = 2*u - 88*p + 91*p - 13. Solve u*t - 16*t + 44 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/24, -4, 18?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-82)\/(-8) + (-12)\/48. What are the prime factors of (8\/r)\/(2\/5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1021 + 1113312111?\nAnswer: 1113311030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2593, -2598, -2607, -2620, -2637, -2658, -2683?\n\"Answer: -2*t**2 + t - 2592","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 19575324 and 12.\nAnswer: 19575324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4915307099 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 721832119*h + 738456460.\nAnswer: 721832119","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0146 times 3592?\nAnswer: -52.4432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2001 and 66?\nAnswer: 44022","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 148 or 1917\/13?\nAnswer: 1917\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*f + 10 = 14*i + 9*f, -2*i = -2*i - 3*f + 96 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 120, -3, -10, 2, 3 in descending order.\nAnswer: 120, 3, 2, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -1080*j - 11855. Let n(m) = -1 + 2 - 13*m + 4 - 4. What is the lowest common multiple of x(-11) and n(-3)?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 3*a + 10. What is the tens digit of b(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1*(3 - (-18)\/3). Solve -r - 11 = -4*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from occiikooidodci. Give prob of picking 1 o and 1 c.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**3 - 3*h**2 + 2*h + 16. Let m(x) = x**3 - 4*x**2 + x + 17. Let v(t) = 4*m(t) - 3*o(t). Let z be v(7). Solve l = -z*l + 35 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 138 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 96*v = -197*v - 23*v - 948 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*c**3*x**3 + c**3*x*z - 1202*c**2*x + c*x**3 + 2*c*x*z + 96*c*z + z wrt c.\nAnswer: 12*c*x**3 + 6*c*x*z - 2404*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -13*w**2 - 4*w. Let k(a) = 40*a**2 + 13*a - 2. What is -7*c(v) - 2*k(v)?\nAnswer: 11*v**2 + 2*v + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*l + 81 = -4*l - 19. Solve 405 = l*r + 375 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5233553?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -651, -708, -765, -822, -879?\nAnswer: -936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27*(-28)\/(-1890)*(-15)\/7.\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*(-2)\/16*-2*6.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11 - 8. Suppose -5*f = -28 + s. Suppose 2*p = -2*v + 7 + 25, -f*p + 4*v = -125. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 53899 and 0.353.\nAnswer: 19026.347","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1298 and 232.\nAnswer: 150568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 13*h + 2. List the prime factors of x(3).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -1, -61, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, -3\/4, -0.3, -85099?\nAnswer: -85099","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 50 + -32. Suppose 2*r + 3*s - 133 = 0, -4*r + 3*s = -0*s - 293. What is the remainder when r is divided by t?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and 4.2?\nAnswer: -0.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 40597443715 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lllllllllllllllllllc. What is prob of sequence cl?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -105*w + 298*w + 111*w + (4 - 5 - 1)*(w + w + 0*w).\nAnswer: 300*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 154*z. Let u(i) be the third derivative of -i**4\/24 - 195*i**2. Calculate r(u(n)).\nAnswer: -154*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -10702, 0.19, -0.5, 5, -0.3?\nAnswer: -10702","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 4*o = 44, -2*o = -0 + 4. Let w(p) = -p**2 - 14*p + 19. Let t be w(c). Suppose 2*r - 41 = -3*s, -25 + t = 2*s - r. List the prime factors of s.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -7833*n - 93998. Calculate q(-12).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 14*o + 27. Let x(h) = -31*h + 151. Let i be x(5). Let n(p) = -5*p - 10. Let f(b) = i*g(b) - 11*n(b). What is f(5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -127*f + 121*f + 1248 = 0. Calculate the greatest common divisor of 52 and f.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-11)*-3*12\/6.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 4 = 3*a. Suppose r + a*l - 321 = -2*r, -107 = -r - 4*l. Let t = -51 + r. What is the tens digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2 + -2 + 1)\/(-1). Let l be ((-3)\/5)\/z*15. Suppose 4*p + l - 45 = 0. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -17, 32\/3, 4, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**2 + 8*l - 7. Let g be t(6). Suppose -2 - 3 = g*j, 4*j + 4 = 3*i. Solve -4 = x - i for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + 2 = 7*p - 2*p + z, 0 = -2*p - z - 13 + 3 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 4 + 3)*(4*a - 4*a - 2*a**2)*(a + a + 0*a)*(187 - 187 + 40*a) in the form v*a**3 + u*a**4 + r*a + o + x*a**2 and give u.\nAnswer: 320","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0083714 rounded to four decimal places?\nAnswer: -0.0084","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (2 + -4) - 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1*(-1)\/(28\/47) and ((-6)\/(-45))\/(-7 - (-10434)\/1494)?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -454.000002155 - -454. What is r rounded to 6 decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1007444315.80557502676 - -0.09442497324. Let u = -1007444578.90000187 + g. Let n = u - -263. Round n to seven decimal places.\nAnswer: -0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1 (b) 2\/13 (c) -0.06 (d) -4 (e) -40 (f) -5\/8\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4194 and 54?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -42400 (base 5) to base 13.\nAnswer: -13b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((p**1\/p)**22)**22)**(-3\/25))**9 assuming p is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 0*q + 30 = v, 0 = -3*v + q + 10. Suppose v = -3*n + 161. Does 17 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -152 + 163. Let v = -9 + 61. Suppose 0 = -b + 6*b - o - 216, b = -2*o + v. What is the highest common factor of m and b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q + q. Suppose -2*o + 5*o - 21 = q. Suppose 12 = -3*p, -4*w - o = -2*p - 39. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (3 + (3*(sqrt(7)*1 + -1 + sqrt(7) + sqrt(7)) - sqrt(28)\/(sqrt(4)*-1*4)))*-1)**2.\nAnswer: -37*sqrt(7)\/2 + 9599\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/((-60)\/(-21) + -3). Let f = -28 - g. Does 14 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -5*y**2 + 1760*y + 25620 = 0?\nAnswer: -14, 366","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.3, -1, -5, 0.01, 1176?\nAnswer: 1176","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**3 + 2*b**2 - b - 2. Let v be h(-2). Let j(o) = -o**3 + o**2 + o + 5. Calculate the remainder when j(v) is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7.88 + -8. Let d = -0.03 + s. What is d rounded to 1 dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - 9*k = -49, 2*d + 9*k - 14*k = -20 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.23 + 160.77. Let g = o - 152. Which is the second biggest value? (a) -1 (b) 5 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*u**2 - 1246995*u + 4*u**2 + 1246995*u.\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w**4\/4 - 63*w**3\/2 = 0 for w.\nAnswer: -42, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, -3, 0.4, 0, -17, -1, 36\/17?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.02869156 and -5.\nAnswer: -5.02869156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 120\/20 + -1 + -4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/54 in -1, -4, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (38\/(-4))\/(300\/600).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.37 - -0.369889. What is k rounded to 5 decimal places?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13.188 - -0.088. Let v = q + 13. What is the second biggest value in 0, v, -4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 609\/6 - (-4 + 28\/8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) + -2*sqrt(6)\/sqrt(2) + sqrt(3))*-4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 24117 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + x = 3. Let k(n) = -53*n + 16. Let i(f) = 13*f - 4. Let l(s) = 9*i(s) + 2*k(s). Let q(z) = 4*z + 5*z - 4*z - 2. Give x*l(d) - 7*q(d).\nAnswer: -2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 66166 to the power of 1\/2, to the nearest integer?\nAnswer: 257","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -157*s + 175 = -375 + 1593 + 4766 for s.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 - 21016?\nAnswer: -21024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -62\/3? (a) 0.07 (b) -1\/4 (c) 0.1 (d) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 318189995?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 72*d**2 + 33*d**2 - 68*d**2 - 68*d**2 + 39*d**2.\nAnswer: 8*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (39\/13)\/((-12)\/8).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -4\/81 and 50\/489.\nAnswer: 13203","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-14)\/6 - (-3 + 1). Let c = 35 + -34.92. Let f = c + 0.12. What is the nearest to -0.1 in -4, f, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes before 8:09 AM?\nAnswer: 8:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -13793, -27643, -41493, -55343, -69193, -83043?\n\"Answer: -13850*k + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 3*f = -7, -3*f = -4*h - 1 + 2. Is 2 > h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes before 2:34 AM?\nAnswer: 9:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - -2) + -3 - (17 - 8).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -916669 - -1834247. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -3*h + 25. Let j(k) = 12 - 5*k + 4*k**2 - k**2 - 2*k**2. Let x be j(h). What is the highest common divisor of x and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from soksolyk. What is prob of picking 1 s and 1 o?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a = -2*a + 48. Let f = -5 - a. Suppose 0 = t + 5, -29 - 3 = -4*m + 2*t + 14. Calculate the least common multiple of f and m.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/((-6)\/(72\/3))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -583, -616, -743, -1012, -1471, -2168, -3151?\n\"Answer: -8*o**3 + o**2 + 20*o - 596","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 + -2. Let m = 3 - n. Let q be (-3)\/36*-2*1332\/370. What is the closest to 0 in m, 2, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*l**2 + l - l)*(-l**2 - 2*l**2 + 4*l**2) + (3*l + 0*l - 5*l)*(-2*l**3 - 4 + 4) to the form t*l**2 + b + m*l + h*l**4 + d*l**3 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.5, -5, 19, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10001001 (base 2) to base 12.\nAnswer: -b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15 - 11. Let u = g + 1. Suppose -c = -u - 5. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6405 or 6085?\nAnswer: 6405","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the first derivative of -h**4\/4 + 11*h**3\/3 + 15*h**2 - 32*h + 34. Let w be a(13). Solve 50 = 5*v + 5*n, -w = -4*n - 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/2 and 0\/4 + (-910)\/(-3198)*20\/(-2534).\nAnswer: 44526","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4830 and 1757798?\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -2*a**2 + 35*a - 261. Give b(13).\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 107 = -7. Let x = 78 - l. Suppose 3*i = x - 2. Is i a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 + -223021?\nAnswer: -223011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -251500083\/77929610 - 1\/3542255. Let v be 0 - 17 - (2 - 1). What is the common denominator of z and 6\/16*116\/v?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8644123 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 19*s**5*u + s**5 + 35*s**3*u - 127*s**2*u + 123*s**2 wrt s?\nAnswer: 1140*s**2*u + 60*s**2 + 210*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3744) + (sqrt(3744) - (sqrt(3744) + sqrt(3744)*-3)) + sqrt(3744) - sqrt(3744))\/(-1*sqrt(8)\/sqrt(4)).\nAnswer: -48*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1.926199 - 41664908\nAnswer: -41664909.926199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 67.49889um in nanometers?\nAnswer: 67498.89","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-14)\/(-10) + (-5 - 224\/(-40)). Let u(m) = m - 2. Let p be u(4). Let b be (-1 + p)*(2 - 0). Solve b*f = 4*f - 2*t, -t + 6 = i*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 961484859?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i - 4*i = -215350 + 215366 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 187569 and 135?\nAnswer: 937845","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/5 of a millimeter in micrometers?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17350 is divided by 155?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (((-96)\/30)\/16)\/(504\/1275) and -145\/408.\nAnswer: 2856","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3612659 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 7, 17, 27?\n\"Answer: 10*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(3\/8)\/d*d*d**(-6))\/((d*d\/d**(-11))\/(d\/(d\/d**27))) assuming d is positive.\nAnswer: d**(67\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 11 = 1. Let l be w\/(-4) - 9\/15. Suppose 4*v - 127 = -67. What is the second biggest value in -1\/9, v, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 3 = -0. Let d(v) = -3*v + 15. Let f be d(5). What is the nearest to l in -0.1, f, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45855 rounded to the nearest 10000?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes after 8:59 PM?\nAnswer: 3:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 53772 - 53763. Let x(i) = -2*i**2 + 15*i - 22. Let g(m) = 3*m**2 - 23*m + 33. Let k(f) = -5*g(f) - 7*x(f). Determine k(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d + d + 0*d)*(-11 + 23 - 10) + 0*d - 3*d - d + (3 - 4 + 3)*(-3 - 4*d + 2 + 3*d).\nAnswer: -8*d - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -438449478 - -12.8166.\nAnswer: -438449465.1834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*b + 8*b + 18. Find n, given that 74*n - 46*n - b*n**2 + 0*n**2 = 0.\nAnswer: 0, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -136 times 6\nAnswer: -816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 5) in base 15?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -567, -1091, -1613, -2133, -2651?\nAnswer: -3167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence myt when three letters picked without replacement from {m: 1, t: 5, y: 3}?\nAnswer: 5\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -10*c**2 + 32*c + 1. Let s be b(3). Let h = -28 + -1. Let o = -1 - h. What is the highest common factor of s and o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11035673 is divided by 181?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12 + -3. Let i(y) = y**3 - y + 3. Let f be i(0). Solve 4*s = f + z for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12021 + -11?\nAnswer: -12102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11 + -15. What are the prime factors of c\/(-8)*-2 + 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -144 + 144.3. Suppose -20 = 5*g + 3*f, -3*g + 24 = -7*g - 4*f. Let n = 0.2 + -0.2. Which is the second smallest value? (a) 5 (b) g (c) n (d) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 - -2.5. Let g be (-4608)\/11648 + (-18)\/(-21). Put g, b, -5 in decreasing order.\nAnswer: g, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4942, 147, -8?\nAnswer: 147","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 21\/8 of a day?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 101 + 146*x**2 - 2*x - 311 + 103 + 107 to g*x**2 + q*x + p and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 75 and 540.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*u**3 + 87*u + 23*u - u**3.\nAnswer: -3*u**3 + 110*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3547080*r**3 + 2559519*r wrt r.\nAnswer: 21282480*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 722.4804 decades to years.\nAnswer: 7224.804","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 + 4. Suppose -l = 2*k + 4*x, -3*k - 3*x + 3 + 0 = 0. Suppose 0 = 4*d + 4*t - 24, 2*d = -k*t + 2*t + 4. Is 5 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -60, -41, 4, 87, 220?\nAnswer: 415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1472*h = -3597*h - 2854*h - 219076 for h.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19442 is divided by 65.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 8*-1*(-5)\/(-4). Let l be 0\/(-2)*(-10)\/k. Solve 4*b - 5*i = -21, -5*b - 10 = -3*i - l for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 13 + 35 = 0. Let a = n + 22. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - (-4 - -6)) + -3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00003715846 rounded to 7 decimal places?\nAnswer: -0.0000372","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 6*f**2 - 50*f - 7. Let o(z) = 2*z**2 - 26*z - 3. Determine 5*o(d) - 2*q(d).\nAnswer: -2*d**2 - 30*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -240 - 108 = -3*q. Suppose -3*n + 3*l + 97 = -62, 2*n + 3*l = q. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a minute in seconds?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the second derivative of a**3\/6 - 5*a**2\/2 + 3104*a. Give d(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 6 (b) -5 (c) -211693\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-536)\/(-12))\/(2\/(-6)). Let w = r + 66. Let i be (-2)\/(-3) + w\/51. Which is greater: -0.06 or i?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 - 0. Let w(v) = 2*v + 101. Let a(r) = -r - 2. Let x(s) = 6*a(s) + w(s). Let d be x(15). Is i < d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20303 and 4369?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 + 5. Suppose 0 = f + 2*y - x*y - 17, 3*f + 4*y = 43. Calculate the remainder when 25 is divided by f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*h**5*l**2 - 65358610*h**2*l**3 - 2019*h*l**3 + 11*h - 2*l**3 - l**2 - 445*l wrt h.\nAnswer: -60*h**3*l**2 - 130717220*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -55127 divided by -179\nAnswer: 55127\/179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes before 12:11 PM?\nAnswer: 2:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*3*(sqrt(136) + (sqrt(136) - -6*sqrt(136)))*2)\/((sqrt(64) - -3*sqrt(64)*-2)\/(sqrt(896)\/sqrt(7))).\nAnswer: 384*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + 24 = -d + 7, 0 = 2*d + 2 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -160 - 82 = 19*f - 2*f - 138*f. Find n such that -16\/9*n**f - 40\/9*n - 32\/9 - 2\/9*n**3 = 0.\nAnswer: -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 - -4. Let m be (1 - 9\/b)*1. Solve s + 6 = m*q, q + q = -s + 6 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-171)\/(-24) + (-2)\/16. Suppose j*f = 13*f + 36. Let s(p) = p**2 + 5*p - 6. Let w be s(f). Solve w*c = -c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -72 + 76. Which is the nearest to 0.1? (a) -0.2 (b) i (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least -378\/4813?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -12\/90047, -0.3, -3\/7, -1\/3 in decreasing order.\nAnswer: -12\/90047, -0.3, -1\/3, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 + -10. Let p(l) = l - w*l + 2*l + l. Let r(z) = z**2. Give r(p(c)).\nAnswer: 4*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2 and -7724661447.\nAnswer: -7724661449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 - 8. Let u = b + 8. Let s(y) = 99*y + u - 88*y - 1. Let m(q) = -2*q**2. Calculate m(s(d)).\nAnswer: -242*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 + 2850c?\nAnswer: 2850d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*h*s**2*w + 26*h*s*w + 11381*h*s - 2*s**2 - 3676*s + 13*w + 3 wrt h.\nAnswer: -2*s**2*w + 26*s*w + 11381*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -4*f + 4 - 4. Let b(l) = -641 - l + 2575 - 647 - 645 - 641 + 2*l. Calculate c(b(p)).\nAnswer: -4*p - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1107 or 1096?\nAnswer: 1096","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*b + 33*b + 29*b + 38*b - 171*b + 39*b.\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2334 and 0.9866.\nAnswer: -2302.7244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**2. Let v(x) = -12*x + 3. Give j(v(i)).\nAnswer: 144*i**2 - 72*i + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 423d9 + -2?\nAnswer: 423d7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -12, 57706 in descending order.\nAnswer: 57706, 0, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 104883 is divided by 20971?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (-4 + 1 + 4 - 2) + 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -4046*k + 50. List the prime factors of m(-11).\nAnswer: 2, 3, 47, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -4*q + 37, 2*q - 89 = -6*c - 21. Solve 38\/3*u**2 + 0*u**4 - c*u - 16\/3*u**3 + 1\/3*u**5 + 10\/3 = 0 for u.\nAnswer: -5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v + v - 2*v)*(0*v + 5*v - 3*v)*(6*v - 3*v + v).\nAnswer: -16*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes after 1:37 AM?\nAnswer: 6:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2*(-1)\/2 - -5. Suppose -w - r*w = 0. Suppose -i + 5*f = -61, -i + 53 = -w*i - f. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0, 15124, -2, -32, 5 in decreasing order.\nAnswer: 15124, 5, 0, -2, -3, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve w + 103 = 5*i + 153, i - w = -7*i - 80 for i.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**3 + 21*n**2 + 3*n - 58. Let y be r(21). Solve -3*v + y*q = -0*v - 6, 9 = -3*q for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -41 at least as big as -167\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 + 19. Let u = m + -11. Let a = 4 - 4.2. Which is smaller: a or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1a8 - -4?\nAnswer: -1a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -3*o**3 + 19*o**2 - 4*o + 1. Let w be 1 + -4 + (8 - (-2 + 1)). Let q be k(w). Let a be (q\/(-26))\/((-2)\/8). Solve m = a*m - 1 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 3*k - 6. Let w be r(3). Let t = -2 - -6. Solve -19 = t*o - w for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r + 3*r - 61. Suppose 0 = 5*z - d - r, 59 = 5*z - 2*d + 2. What is the remainder when 24 is divided by z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 188*h**2*o**3 + 2974*h**2*o + 463*h*o**2 - 2420*o**3 wrt o.\nAnswer: 1128*h**2 - 14520","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**2 - 7*t + 8. Let r be k(-8). Let w = r + 4. Suppose 7 = -4*x - 3*g + 20, 0 = 2*x - w*g - 12. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-3) + (-1 - 34\/(-6)). Suppose 2*p + 67 = 2*a - a, 0 = 4*p - f. Calculate the remainder when a is divided by (-69)\/(-1 + -2) - -1.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 10 = 9*a, 7480 = 5*v - 5*a. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 815268140?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1561254.7081 take away -17.24?\nAnswer: -1561237.4681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.102 and -49?\nAnswer: 4.998","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w + w - w)*(4 + 8 + 3).\nAnswer: 30*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the second derivative of 2*t**7\/3 - 391*t**6\/30 + 339*t**5\/5 + 77*t**4\/12 - 49*t**3\/3 - 260*t. Suppose s(q) = 0. What is q?\nAnswer: -2\/7, 0, 1\/4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-12)\/(-30) - (-684)\/15. Suppose -46 = -2*o + l. Is o a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4134 at most as big as 3603?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3765169*q + 5601671 with respect to q.\nAnswer: -3765169","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14*f**2*x - 12*f**2 - 92*f*x + 5*x wrt f.\nAnswer: 28*x - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3101111 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 151603082?\nAnswer: 2, 31, 2445211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 857*l + 860*l + 863*l + 864*l - 3446*l.\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*v**4 + 4*v**4 + 3*v**4 + (157*v**2 - 104*v**2 - 229*v**2)*(-3 - v**2 + 3).\nAnswer: 180*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.4+4493350174\nAnswer: 4493350173.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1456662918 to the nearest integer?\nAnswer: 1134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 200 by -4.\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a + 4*a + 2*a)*(5*a**4 + 3*a**4 - a**4 + 3*a + a**4 - 3*a + (-a**3 + 2*a**2 - 2*a**2)*(2 - a - 2) + a**3 + 2*a**4 - a**3).\nAnswer: 33*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -4*q**3 - 4*q**2 + 26*q + 13. Calculate the remainder when l(-4) is divided by 12.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -3190, -3468, -4216, -5668, -8058?\n\"Answer: -39*p**3 - p**2 - 2*p - 3148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the second derivative of -i**4\/12 - 14*i**3\/3 - 129*i**2\/2 - 15*i - 6. Let m be s(-6). Solve 0 = -m*l + l + 6, -3 = 4*p - l for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 + 10011000?\nAnswer: 10011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 18\/2*(-1)\/(-3). Suppose 0*j + x*j = 78. Is j a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 154 and -0.5.\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 155 = -j + 68, -219 = -4*p - 5*j. Let b = p - 54. Solve 0 = 4*c - 4*m - 8, 2*c = -b*c - 5*m + 17 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 62*r - 1839. Let j be m(30). Solve -j*l = -29*l + 48 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g**4 + 92182*g**3 - 16734266*g**2 + 749530418*g + 766356864 = 0. Calculate g.\nAnswer: -46272, -1, 91","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q + 7 - 1. Calculate the common denominator of 1 - (3 - (-74)\/8) and (122\/(-16)*-2)\/q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 22258, 44522, 66786, 89050, 111314, 133578?\n\"Answer: 22264*n - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -78, -85, -78, -51, 2?\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1021 + 2099\/2. Let s = -29 + k. Let o = -0.3 + -3.7. Which is the second smallest value? (a) s (b) -2 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7 and 84.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 129684.1 litres to millilitres.\nAnswer: 129684100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 387 and 344?\nAnswer: 3096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*v**2 - 41 - v**2 - 16*v**2.\nAnswer: -4*v**2 - 41","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the third derivative of -l**6\/30 - 2*l**5\/15 + 2*l**2. Factor c(h).\nAnswer: -4*h**2*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 141224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2324987, -4649981, -6974977, -9299975, -11624975, -13949977, -16274981?\n\"Answer: -q**2 - 2324991*q + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 72\/5 of a century?\nAnswer: 1440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the second derivative of 13*p**4\/6 + p**3\/6 - 25*p. Let w(l) = l. Determine w(i(s)).\nAnswer: 26*s**2 + s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 188.8527ng in micrograms?\nAnswer: 0.1888527","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 329 = -337. Let s be 7 - (-2)\/((-2)\/q). Solve -5*z + s*i + 30 = 0, 2*i + 16 = 3*z + z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * -0.079.\nAnswer: -0.395","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 8, v: 2, e: 2, h: 2, c: 5}. What is prob of sequence evv?\nAnswer: 2\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:15 PM and 4:49 AM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f\/(f*f\/(f\/(f*f**(-13)*f*f))*f))*f**(-1\/5)*f)\/(f\/(f\/((f**(-14)\/f)\/f))*f\/f**1) assuming f is positive.\nAnswer: f**(44\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -1. Let i(s) = -2*s**2 - 5*s. Give i(w) + 2*k(w).\nAnswer: -2*w**2 - 5*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-8 + -26)\/102*12. Let o(p) = 8*p**2 + 3*p + 3. Let r be o(-2). Put -1, u, r, 0 in descending order.\nAnswer: r, 0, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 x, 1 o, and 1 f when four letters picked without replacement from {y: 2, o: 1, p: 1, s: 1, x: 2, f: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*w + 23013 = -0*w. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6378 + 62751 = 42*i - 4665. Does 6 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 71 - -159849784.00417\nAnswer: 159849855.00417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 38969\/(-4) - (-1)\/4. Let o be -5*13348 + 3 + -5. Let p = a - o. What is p rounded to the nearest 10000?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24 + 6*i**3 - 18 + 14 + 28.\nAnswer: 6*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -434 + -11224?\nAnswer: -12213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (98 - 81 - (61 + -2)) + -11\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 5*o + 2. Suppose 3*k = -k + 16. Let y be z(k). What is the highest common divisor of y and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -8*g + 1. Let u(i) = i**2 - 15*i + 2. Give 5*q(z) - 3*u(z).\nAnswer: -3*z**2 + 5*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1\/2, 26, 0.2 in decreasing order.\nAnswer: 26, 1\/2, 0.2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y - y + 3*y)*(-10*y**2 - 11*y**2 + 11*y**2)*(-3*y + 2*y + 2*y).\nAnswer: -20*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 + 22 - 4) + -2 + 6 + -26.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-7779)\/(-2) - 7\/21. Let b = 3867 - r. Let y = 24171 - 435229\/18. Calculate the common denominator of y and b.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -35690*z**5 - z + 18265.\nAnswer: -713800*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 27773 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -4*l**2 + 2. Suppose 37*c = 36*c - 3. Let y be b(c). Is y greater than -35?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 72644?\nAnswer: 2, 11, 13, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -160512 = -48*c + 16*c. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**3 - 47*k**2 + 255*k + 353. What is o(-52)?\nAnswer: 613","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000088501996 to 7 decimal places.\nAnswer: -0.0000885","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14\/95 + -1\/19. Let a = 32 - 28. Let y = 107 - 102. What is the closest to i in y, a, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (-12 - -4 - -8).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 36c47 (base 13) to base 11\nAnswer: 69935","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 347.93719 + 0.06281. Sort a, 1\/5, -4\/9, 0.3, 4 in decreasing order.\nAnswer: a, 4, 0.3, 1\/5, -4\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1455 and 3405?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the first derivative of 0*h**4 + 0*h**5 - 5*h**6 + 0*h**3 + 1\/2*h**2 - 11*h + 64. What is the second derivative of p(g) wrt g?\nAnswer: -600*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -3 take away -231606279954?\nAnswer: 231606279951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 808.6 + -804.6. Let d = 0 + 1. Which is greater: d or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 5*y - 3*y + 8 - y. Calculate the remainder when b(6) is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -6*s**3\/5 + 276*s**2\/5 + 882*s\/5 = 0.\nAnswer: -3, 0, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 c when two letters picked without replacement from vkvlyicl?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes before 2:32 AM?\nAnswer: 2:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 + 5391?\nAnswer: 538c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 - 13 = -5*s - 4*v, 2*s + 5*v = 36 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.748*0.3.\nAnswer: -0.2244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 49 and 197323?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 648*y**3 - 4*y + 4*y - 87*y**3.\nAnswer: 561*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.053389249 rounded to 2 dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 178*r**2 + 85*r**2 + 1 - 118*r**2.\nAnswer: 145*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.019 and -295.\nAnswer: -295.019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 510570 and 466406.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3\/7, 2\/3.\nAnswer: 3\/7, 2\/3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 3 + 3)*(-1 - 7 - 2)*(4 - 2 - 5)*(-8*c + 3*c + 0*c) to the form g + b*c and give b.\nAnswer: 300","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v + 14*h - 830, -1335 = -3*v + 12*h - 15*h. Calculate the greatest common divisor of 288 and v.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -146a + 1?\nAnswer: -1469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19*-312641.\nAnswer: 5940179","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-12*q**3 - 38*q**3 + 13*q**3)*(-4 + 0 + 2)*(3*q - 5*q + 3*q) in the form x*q + k*q**4 + p + r*q**3 + j*q**2 and give k.\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 756 divide 2027715554?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 48, 21, -16, -69, -144, -247, -384, -561?\n\"Answer: -y**3 + y**2 - 23*y + 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 15109 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -4*y**3 + y**2 + 3*y + 3. Suppose 4*u = -2*p + 4, -2*p - 3*p - 20 = -5*u. Let k = 9133 - 9121. What is the remainder when j(p) is divided by k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the third derivative of m**6\/720 + 7*m**5\/120 + m**4\/12 - 4*m**2. Let z(h) be the second derivative of o(h). What is z(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (-2 - -12) + -7 + 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 659?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*o - 470 + 229 = -4*l, 0 = 3*o + 14*l - 19 for o.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the second derivative of 25*d**4\/12 - d**3\/3 - 27*d**2\/2 - 3*d + 3. What is the first derivative of o(s) wrt s?\nAnswer: 50*s - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*a - 21 = -6*a - 2*t, 5*a + t = -12 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 + 4. What is the units digit of (l\/2)\/((-1)\/(-10))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/12, 0.2, 4\/633, 46\/17?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/4)\/((-2)\/(-60)). Let v = i + 23. Let y(w) = w**3 + w**2 + w + 10. Calculate the lowest common multiple of v and y(0).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + 0. Let c(p) = p**2 + 3*p + 4. Let x be c(0). Solve -2*g - x - 4 = i for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 274*l - 4601310 = 895130. What is the hundreds digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.033, 1\/2, -52\/7, 2\/13.\nAnswer: -52\/7, 0.033, 2\/13, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12 + -23 - 68) + (15 - 1)?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**3 - f**2 + f. Suppose 59*r + 31 = -4*t + 64*r, 3*r - 19 = 2*t. Let m(w) = -4*w**2 + 2*w + 8. Give t*m(l) - 2*q(l).\nAnswer: 2*l**3 - 2*l**2 + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = -v + 5*n, 11*v + n + 17 = 6*v. What is the third biggest value in -25, v, 1?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -541 - 539 + 1080 + 5*v**2.\nAnswer: 5*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -44*a**4 + 7*a - 2 - 2*a**3 + 2*a**2 + 97*a**4 - 51*a**4 in the form q + f*a**4 + y*a + l*a**3 + z*a**2 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 3*u**2 - 210*u + 2903. Calculate z(51).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 4*p**3 - 3*p**2 + 3*p + 1. Let z be n(2). Calculate the highest common factor of z and 54.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**2 - 15*u + 15. Let b be w(-15). What is the smallest common multiple of (b - 13) + (1 - -1) and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -24*x**2 - 9*x + 5. Let y(s) = 6*s**2 + 2*s - 1. What is -2*i(d) - 9*y(d)?\nAnswer: -6*d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -9, -54, -129, -234?\n\"Answer: -15*w**2 + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(363) + -1 + -2 + sqrt(363).\nAnswer: -3 + 22*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -39*k - 7. Suppose 0 = 8*w + 10*w - 1350. Calculate the remainder when j(-4) is divided by w.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 649818*p**4 + 2*p**2 - p - 457874?\nAnswer: 7797816*p**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*n = 80*n - 22080. Calculate the least common multiple of n and 736.\nAnswer: 736","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r = -5*r - 5. Suppose -5*u - 4 = q, 2*q = u - 0 + 3. Solve -g = r*s + 19, -s = -4*g + 7 + q for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes before 1:55 AM?\nAnswer: 4:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 582 - 583. Let n = 0 - -1. Let k = -2 - n. What is the closest to k in 2, i, 0?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 468802.8003 + -468929. Let c = r + 126. What is c rounded to one dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34868 = -90931*i + 91689*i for i.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 6 + -9 + -8 + 26 + -33 + 73\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19698*w + 11816 - 5910 - 5906 to h + m*w and give m.\nAnswer: -19698","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -o**4 + 3*o**4 - o**4 + o**4 + 0*o**4 - 2*o**4 + (-2 + 2 + 1)*(-5*o**4 + 4*o**4 - o**4) + 0*o**4 - o**4 + 0*o**4 - 2 + o**4 + o**3 - 2*o**3 + 2*o**3.\nAnswer: -2*o**4 + o**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -197, -423, -693, -1007, -1365, -1767, -2213?\nAnswer: -2703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 20*g**5 + 17*g**5 - 38*g**5 + (2*g**3 - 2*g**4 - 2*g**3)*(16*g + g - 4*g).\nAnswer: -27*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ti when two letters picked without replacement from ititkjtivtkjktv.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7, 8, 1, -20, -61?\nAnswer: -128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in six fifths of a millennium?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(65) + (sqrt(65) - (sqrt(65)*-1*-2 - sqrt(65))) - 4*sqrt(65)*2))\/(sqrt(5) - sqrt(35)\/(sqrt(7)*3) - ((sqrt(180)*6 - sqrt(5)) + sqrt(5))).\nAnswer: 63*sqrt(13)\/53","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**(-4\/11))\/n)\/(n\/((n**(2\/25)*n*n)\/n*n)) assuming n is positive.\nAnswer: n**(397\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 283062 and 6?\nAnswer: 283062","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9278260?\nAnswer: 2, 5, 17, 29, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 307519002?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11\/(-154))\/((-9)\/(-2)*262\/(-4716)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -87 - -5?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.4092 - 232.5092. Let t = h + 250. Let b = -18.093 + t. Round b to two dps.\nAnswer: -0.19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -21877\/6 - -3634. What is the common denominator of a and 26\/11?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) + sqrt(833)*4 - sqrt(136)\/(sqrt(24)\/sqrt(3) + sqrt(8))) + 3*((sqrt(1377) - (sqrt(1377) + -2 + sqrt(1377)))*-3)**2 + 4.\nAnswer: -1887*sqrt(17)\/2 + 37291","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2243*g**2 - 2283*g**2 + 4 + 2 - 2 wrt g?\nAnswer: -80*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.2 times -7\nAnswer: -8.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 522*z - 31 + 15 + 18.\nAnswer: 522*z + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**3 - 4*a**2 - a + 1. Let k be l(-4). Suppose -2*u + k*u = 96. Is 12 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeeeeeeneeee. Give prob of picking 1 e and 1 n.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 divided by 443613.\nAnswer: -23\/443613","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10001110111111011101000 (base 2) to base 4.\nAnswer: -101313323220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -63.74079 - 2658.27221. Let n = c - -2708. Let k = n - -14. What is k rounded to 2 decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = z - 65. Let g be 12\/(-150) - (-635)\/125. Calculate the remainder when z is divided by (1\/10*g)\/((-4)\/(-264)).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*w = -a - 57*w - 7, -31 = 5*a + 3*w for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15379644 to the nearest integer?\nAnswer: 3922","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dlsolsdsosooo. What is prob of sequence lloo?\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 2*m**4\/3 - 5902*m**3\/3 - 156156*m**2 - 12250472*m\/3 - 106475408\/3 = 0?\nAnswer: -26, 3029","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, -2\/7, 0.3, -0.0699, -2, -41?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 72016 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p - 2. Let k be u(4). Let f(j) = 3*j**2 - 10 + 9 - 5*j**2 - 2*j**3 - 2*j - 5*j**2. Is f(k) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the first derivative of 16*d**3\/3 - 19*d**2\/2 - 2. Find the second derivative of x(z) wrt z.\nAnswer: 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 2 = q, 0*b + 5*q = b + 23. Let c be b + -3 + 2 + 7. Solve 0 = -4*r - c*w - 0*w - 13, 3*w = -3*r - 12 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 420286.1 years?\nAnswer: 420.2861","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the first derivative of -b**5\/10 + b**4\/4 - b**3\/6 + 12. Suppose y(a) = 0. Calculate a.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 5*r - 20 - 3 = 0, 0 = 3*p + 4*r + 6. Suppose -7*s = -p*s + 30. Let z = s + 6. Solve z = 6*j - j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 13827, 13587, 13161, 12555, 11775, 10827, 9717, 8451?\n\"Answer: r**3 - 99*r**2 + 50*r + 13875","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 326b86 (base 16) in base 15?\nAnswer: 4540d6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2158 - 2116 - 156*t - 2112 + 6386.\nAnswer: -156*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 299111 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + 5*m + 11 = 0, 3*x + 62 = -2*m + 63 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 301.\nAnswer: 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 72\/54 + (-4)\/(-6). Solve -2*u = 2*j + i, -2*u + 0*j - j = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 23460.83344 to the nearest one thousand.\nAnswer: 23000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 29*f - 84. Let n(o) = -9*o**2 - 3*o + 4. Let c(v) = -8*v**2 - 2*v + 3. Calculate f*n(s) - 5*c(s).\nAnswer: 4*s**2 - 2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15 - -3. Let c be (-7)\/2 + (-2)\/4. What is the remainder when (-1)\/c - 237\/o is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19\/4, 38, -0.2, 3, -3, 0.3.\nAnswer: -19\/4, -3, -0.2, 0.3, 3, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 - -35. Let j = -2018 + 2150. Calculate the highest common factor of j and w.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -100220 + 112011211?\nAnswer: 111210221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 218 greater than or equal to 220?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*a**2 + 12279 - 12279.\nAnswer: -12*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 b, and 1 t when three letters picked without replacement from tsjbjjgtjbjbn.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14042296?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - 5 - -4 - 10) + 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1110447266 to the nearest integer?\nAnswer: 1036","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k**2\/5 - 1419187*k\/5 - 1419186\/5 = 0.\nAnswer: -1419186, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -1. Let j(m) = 3*m + 9. Let q(k) = -j(k) - 6*y(k). Let a be q(-2). Suppose -a*u + 34 = 2*z - 32, -5*u + 97 = -z. Is 20 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.1 (b) 106 (c) 2.16 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -315.894 - 33.4008. Let z = 349 + i. Let p = z + 0.3. What is p rounded to 3 decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -121 - -170. Let f be (-6)\/(18\/(-21)) - -3*(-686)\/(-21). What is the highest common divisor of t and f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wrerkkwrwkkrrrrkkwrk. Give prob of sequence wker.\nAnswer: 28\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10828002*x**2 - x - 865964.\nAnswer: -21656004","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 173828 (base 11) to base 14.\nAnswer: 6dc09","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1096*r**2 - 5447*r**2 + 1096*r**2 + 1095*r**2 + 1100*r**2 + 1051*r**2.\nAnswer: -9*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3950*c**2*y - 12*c*y - 645*c wrt c?\nAnswer: 7900*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 + 2. Suppose 3*y + 3 = k, 2*r - 19 = -2*y - y. Calculate the remainder when 454\/11 - (-165)\/(-605) is divided by r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -292445414818 and -4?\nAnswer: 292445414814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 279*o - 284*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15523790 to the nearest integer?\nAnswer: 3940","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**3 - 11*f**2 + 10*f + 11. What is the tens digit of o(10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 145 (b) 0.1 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1378346.7 milliseconds to minutes.\nAnswer: 22.972445","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**3 + 6*u**2. Let r be d(-6). Let h = -6 - -4. Let q = h + 4. Which is the third biggest value? (a) -1\/5 (b) r (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22212?\nAnswer: 2, 3, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0.1 (b) 0.3 (c) 1.37 (d) -0.16 (e) 12\/53\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.9 and 271.663843531?\nAnswer: 272.563843531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 - 6*h**2 - 2*h**2 - 13.\nAnswer: -8*h**2 - 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 100 = -116. Let u = 148 - 73. Let v = a + u. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, r: 2, d: 1, k: 1, b: 1}. What is prob of picking 1 w and 1 r?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put together -4.88038116404 and 6.\nAnswer: 1.11961883596","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 20 + -20.9. Let i = -0.9 - s. Let g be 2\/(-6) - (-8)\/60. What is the biggest value in 5, g, i?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of c**4*h**2 - 7*c**3*h**2 - 14*c**2*h + 3*c**2 + 2*c*h**2 wrt c?\nAnswer: 24*c*h**2 - 42*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2508 and 2227434.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j**3\/19 + 112*j**2 - 226*j - 31980\/19 = 0.\nAnswer: -1066, -3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 2*x - 4, -2*k - 7 = x + 3. Let y(h) = h + 5. Suppose -5*m + 59 - 14 = 0. Calculate the smallest common multiple of y(k) and m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4631641*y**3 + 8140305*y.\nAnswer: -27789846*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**3 - 4*x**2 + 2*x - 10. Let z be j(-5). Solve -3*v = 4*w - 9, 3*v - 10 - 2 = -z*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 + -2. Let x be 4 + 2\/(1 - y). Is 12 a factor of (5\/x + 2)*9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*b**3\/5 - 42*b**2\/5 - 144*b\/5 - 32 = 0. Calculate b.\nAnswer: -4, -5\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1213 + -2042. Let d = s - -1470. Is 66 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 57\/545996 and 89\/220.\nAnswer: 2729980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 123, 248, 373, 498?\nAnswer: 623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7816 is divided by 104?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.1 or 55?\nAnswer: 55","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**3 + 7*x**2 - 2*x - 6. Give b(7).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30188.72 millilitres to litres.\nAnswer: 30.18872","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2135 - -9348. What are the prime factors of d?\nAnswer: 7213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 380326 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-44)\/45)\/(-11))\/((-196)\/84*(-164)\/42)?\nAnswer: 2\/205","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m - 7*m - 2*v - 8, -3*v = 12. Let f(g) be the first derivative of 0*g + m*g**2 - 3 + 1\/3*g**3. Let t(p) = 4*p**2. Give t(f(i)).\nAnswer: 4*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*k - 20*k - 876 = 0. What is the tens digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12758 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.02, 55, 19, 5, 0.3?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 1)\/((-5)\/(-75)*5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14488812 by 4316.\nAnswer: 3357","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 5*t**2 - 10170*t + 50725 = 0.\nAnswer: 5, 2029","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 281*f + 868 - 1711 = 0. Factor -21\/2*s + 15\/4*s**2 + 0 + 3\/4*s**f.\nAnswer: 3*s*(s - 2)*(s + 7)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -546 (b) 1 (c) -1\/8 (d) 0.0093 (e) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - 4 = 3*b, 0 = -5*j + 4*b - 3114 + 3121 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the first derivative of -86*y**3 + 0*y + 189\/2*y**2 - 78. Find the second derivative of c(w) wrt w.\nAnswer: -516","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -132 + 135. Suppose -4*f - 1 = -q, 0 = 3*q + 2*q + 4*f - 29. Find the second derivative of -30*n**d + 30*n**3 - 13*n + 4*n**q wrt n.\nAnswer: 80*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**2 - 8*a + 3. Let b be k(-8). Let t be b\/(-2)*-2 - 2. Is -2 + t + 2 - -36 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 154447059*g**3 - 452376*g - 513 wrt g?\nAnswer: 926682354*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r + 3 + 5, r + 2 = 5*f. Suppose -3*k + 54 = -6. Suppose 4*v = -f*v + k. Calculate the lowest common multiple of 7 and v.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 4, i: 1, m: 9}. What is prob of sequence mi?\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - 1\/(-33)*39?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1187100 and 135.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19806 - 184708 = 6728*a + 30966 for a.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -62464.8*-4\nAnswer: 249859.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cvgc when four letters picked without replacement from gncpcllv?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 257198727 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.62 - 1.42. Let i = 3 + -2.4. Let p = i - m. Put p, -5, -2\/9 in descending order.\nAnswer: p, -2\/9, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25.68649 rounded to 2 dps?\nAnswer: -25.69","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -316*f + 312*f + 24, -f = -3*p + 9 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - v + 60 = 82, -2*v = 4*a - 16 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1010011 (base 2) to base 9.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*h**6 + 12577*h**5 + h**2 - 16192*h + 1 wrt h.\nAnswer: 480*h**3 + 754620*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2989?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 145212437 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 5 = -5*j, 5*d - 8 = -j - 36. Let g be d\/(-30) + (-2)\/12. Solve -l - 1 + 0 = g for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 430, 444, 458, 472?\n\"Answer: 14*j + 416","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58*k**3 + 2*k**3 - 22*k**3 - 7*k**3.\nAnswer: -85*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 104643 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: List the prime factors of 12021.\nAnswer: 3, 4007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 53843469?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**3 - 10*n**2 - 10*n - 7. Let y be b(-9). Let h be (-1)\/(1\/(-18)*y*3). Suppose 8\/7 + 4\/7*k - 4\/7*k**h - 8\/7*k**2 = 0. What is k?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4.96 - -0.24. Let v = h + -2.2. Let g = v + 16.5. What is g rounded to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*q**3\/5 - 5688*q**2\/5 - 117596*q\/5 + 123288\/5 = 0. Calculate q.\nAnswer: -1401, -22, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45\/108*1*4.\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = 3*y + 81. Put -2, 1\/7, y, -3 in decreasing order.\nAnswer: 1\/7, -2, -3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 269829401 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*j*x + 158*j + 174659*n*x + 2*n + 2777 with respect to x.\nAnswer: 2*j + 174659*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = t - 6. Let c = t - -8. Suppose 4*a + 10 = 2*w, -c*a = -a + 5*w - 1. Sort 4, a, 5.\nAnswer: a, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 77\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 6822253 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - 53 = 2*k - 55, 0 = -3*c + 2*k - 4 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 817994561?\nAnswer: 29, 2341, 12049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that f**2\/3 - 2*f\/3 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**2 + 8*k - 9. Let w be ((-5)\/(-15))\/((-1)\/(-18)). Let r(p) = -p**2 - 9*p + 10. Let z(i) = w*r(i) + 7*d(i). Find u, given that z(u) = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 - (-44)\/10) + -5. Which is smaller: w or 0.055?\nAnswer: 0.055","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*o + 1680 = -130*o for o.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1363.56 litres in millilitres?\nAnswer: 1363560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**2. Let b(p) = -931*p**2 - 927*p**2 - 14*p + 1860*p**2. Determine d(b(r)).\nAnswer: 4*r**4 - 56*r**3 + 196*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 minus -14136?\nAnswer: 14135.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**2 - 8*c - 3. Let o be -2 - 6 - 0\/2. Let d be j(o). Put -4, d, 3 in ascending order.\nAnswer: -4, d, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 718 and 357205.\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zv when two letters picked without replacement from {p: 5, v: 2, z: 1, t: 1, f: 3, r: 1}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31 = 5*w + 3*k, w - 19 = -4*w + 3*k for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -4*t**2. Let c(v) = 33*v. Give c(h(u)).\nAnswer: -132*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence az when two letters picked without replacement from szussznszsuwuauauasa?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -58*p + 34. Give t(-2).\nAnswer: 150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - 36 = 3*h, -5*y - 92*h = -88*h + 58 for y.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 18509, 18521, 18543, 18575?\n\"Answer: 5*a**2 - 3*a + 18507","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -126402, -126298, -126196, -126096, -125998, -125902, -125808?\nAnswer: -125716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.47 - -132.53. Let p = x + -131. Which is the biggest value? (a) -2 (b) -0.3 (c) p (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1\/11, -6, -1, -18 in decreasing order.\nAnswer: -1\/11, -1, -4, -6, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 65351.827 and 2.\nAnswer: 130703.654","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 867826.3 hours?\nAnswer: 3124174680000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((0 + (sqrt(1584)*-3 - sqrt(1584)))**2 + 0 - 6*(-4*(sqrt(11) + -1) + sqrt(11) - 2*sqrt(539))**2).\nAnswer: -37044 - 4896*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 463289 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**2 - 4*k + 2. What is g(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 2*d**2. Let t(y) = 173*y**2. Give t(w(f)).\nAnswer: 692*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 1 - 11)*(2*c**3 - 5*c**3 - 4*c**3)*(-2*c**2 + 5*c**2 + 6*c**2).\nAnswer: 945*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 827\/4195?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m when three letters picked without replacement from {m: 12, v: 3, o: 1}?\nAnswer: 11\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a millennium in months?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a centimeter in millimeters?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 4*u + 27 = 0, u = -42252*j + 42249*j - 18 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -7 - -6*21\/14\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 89*q - 123*q + 39*q.\nAnswer: 5*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7982, 7986, 7992, 8000, 8010?\nAnswer: 8022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 48 and 2442.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20197*q - 20112*q - 20045*q + 60355*q.\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 - a?\nAnswer: -b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35696 is divided by 163?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.2 - 1.8. Let d = -4439 - -4439. Let k be (-2)\/(-28)*2\/3. Sort d, i, k.\nAnswer: i, d, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -323 - -2265\/7. Suppose -5*g = -3*u + 1, 5*g + 3*u + 5*u - 21 = 0. Which is greater: g or f?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 - -22. Calculate the highest common divisor of v and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-90)\/(-12) + -5)*-2. Let z(q) = 2*q**3 + 10*q**2 - 6*q - 26. Let v be z(j). Let c = 4 - 2. Solve -4 = -4*u - v*w, c*u = -u - 4*w for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (48\/7)\/((-4994)\/69916)?\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2777*r - 922*r - 911*r - 2 - 911*r.\nAnswer: 33*r - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Do -0.007 and -220199\/4 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1126547, -1126539, -1126531, -1126523?\n\"Answer: 8*s - 1126555","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 939715 and 2105?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*9\/(-6))\/(-9).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 - -65?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 363177583 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(57)*4)\/sqrt(3).\nAnswer: 20*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.14 - -0.44. Let h = f + -0.4. What is the third smallest value in h, -3\/8, -3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes before 2:16 AM?\nAnswer: 11:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x**2\/7 - 4170*x\/7 + 20800\/7 = 0. What is x?\nAnswer: 5, 2080","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -153 + 226. Suppose 158 = 5*q + t. What are the prime factors of q?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*n**3 + 656284*n**2 - 26979242560*n + 4915247607552 = 0. Calculate n.\nAnswer: 183, 81944","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 29*y + 148. Is l(19) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (102\/(-357))\/(40\/(-14))?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13 - 5) + (2 - (-18 - (6 + -9))).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 185004628?\nAnswer: 2, 41, 601, 1877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 5*g. Let r(n) = 130*n. What is r(c(b))?\nAnswer: 650*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 52240 and 320.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 96 and 5658516?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 468 + 6?\nAnswer: 472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/(-135)*(-75)\/(-6)*((-1134)\/(-120))\/9?\nAnswer: 7\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30142 and 2422?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -12 (b) 160 (c) 279\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of a**4*p**2 - 216*a**3*p**2 + 24*a**2*p**2 + 2*a**2 wrt a?\nAnswer: 24*a*p**2 - 1296*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14368 is divided by 7105?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 53962528 to the nearest integer?\nAnswer: 378","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 10 = -4*q, -3*q - n + 4 = n. Let h = q - 4. Let c be 25*(h + (-14)\/(-5)). What is c rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -2 (b) 5 (c) 1\/4 (d) 16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-247)\/(-190) - (-2)\/10?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -45, -31, -13, 9, 35?\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (177\/(-9))\/(8\/(-72)). Calculate the highest common divisor of 236 and x.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 13 + 19*f**4 + 7*f**4 - 11*f**2 - 6*f**3 + 10*f**4 + 5*f**3 - 35*f**4 as q*f**2 + h*f + w*f**3 + p*f**4 + j and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 208208?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*n**2 - 485*n - 330.\nAnswer: 5*(n - 33)*(3*n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**2 - 7*n + 3. Let m be v(6). Let j be m*5\/((-15)\/(-2)). Let a = -5 + 8. Sort j, 2\/5, a in increasing order.\nAnswer: j, 2\/5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**3 - 13*d**2 + 38*d - 84. Determine b(10).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of (-27)\/9 - -1 - -7*16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 237789 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1134564.\nAnswer: 2, 3, 94547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 2 f when three letters picked without replacement from {f: 3, s: 1}.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*s - 4947 = 23285. Let u = s - -28155\/8. Let t = 329 - 2585\/8. Calculate the common denominator of u and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2513.868 weeks to days.\nAnswer: 17597.076","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 9777*n**3 - 4*n**2 + 93*n - 376. Is p(5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 45 in -4, -0.5, 7\/2?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9087 is divided by 1504.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1*24)\/(3\/(-9)). Suppose s = h + 3*h. Let u be -212 + 210 + (0 + -8)\/(-2). Solve v + g - 1 = -8, 4*v + h = -u*g for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -82 in -2, -0.14, 0.2, 1, -1\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 1) + -8 + -50 + 56.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.44 rounded to 2 dps?\nAnswer: -0.44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -s**2\/3 - 52102*s\/3 - 678654601\/3 = 0.\nAnswer: -26051","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 1939458?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the first derivative of 5*g**4\/4 - 260*g**3\/3 + 255*g**2\/2 + 3411. Factor p(h).\nAnswer: 5*h*(h - 51)*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 147973 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-57*c - 44*c - 75*c + 96*c - 102*c)*(2*c**3 - 4*c**3 + 3*c**3) in the form x*c**3 + g*c**4 + t*c + m + h*c**2 and give g.\nAnswer: -182","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/1239 greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1533 + -13.74?\nAnswer: -1546.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 4, g: 3, h: 5, w: 5, r: 1}. What is prob of sequence hgrh?\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 9658963297 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -774*l - 458. List the prime factors of f(-4).\nAnswer: 2, 1319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 14\/9*w**4 + 22\/3*w**3 + 14\/9*w + 26\/3*w**2 - 4\/3 = 0.\nAnswer: -3, -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes before 8:49 PM?\nAnswer: 9:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3*1\/4 + (-1791)\/36. Let k = a + 50. Calculate the highest common divisor of k and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 393144953 to the nearest integer?\nAnswer: 733","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12.75 - 13. Let o = z + 0.25. Let l be -1 + (-10)\/(-6) + -1. Sort 2, l, o in increasing order.\nAnswer: l, o, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16409, 18407, 20405, 22403, 24401, 26399?\nAnswer: 28397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (-14)\/(-77) - 34809\/(-33) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, b: 1, m: 2, t: 1, v: 1, n: 2}. What is prob of sequence mfv?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -502, -506, -506, -496, -470?\n\"Answer: b**3 - 4*b**2 + b - 500","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/10 and 69\/40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1051252757 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 2 + 0 + -14 + (-46 - -52)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-296*z + 145*z + 137*z)*(-z + 3*z - z).\nAnswer: -14*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2624085 and 165.\nAnswer: 28864935","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 7*u**2 - u. Let o be s(-3). Suppose 140 = 2*i - o. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -337.499 rounded to 0 dps?\nAnswer: -337","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*t + 0 + 0 + 2 + 34*t.\nAnswer: 53*t + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(5 + (sqrt(5616) + ((sqrt(5616) - (sqrt(5616) + (-3*sqrt(5616) - sqrt(5616)))*3) + sqrt(5616) - sqrt(5616)))\/(6*(sqrt(432)*-3 - sqrt(3)))).\nAnswer: -110*sqrt(13)\/37 + 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 10, 1\/4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 - -6. Find the second derivative of -4*h**3 + 9*h + n*h**3 - 12*h wrt h.\nAnswer: -6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**2. Let s(h) = -h**3 - 3*h**2 + h + 1. Let j be s(-3). Let v = 0 - j. Let m(y) = v*y**2 - y**2 - 2*y**2. Give w(m(l)).\nAnswer: -l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffflflfqq. Give prob of picking 2 q.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*p - 24 - 109. What is the greatest common factor of p and 152?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g when three letters picked without replacement from gmwngwgwnng?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k + 10. Let p be o(-8). Suppose -p*t - s - 6 = 0, 0*s + s - 2 = 0. Let v = 5 + t. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 + 13 = -8*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 21\/11990 and -131\/1244562.\nAnswer: 6222810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 5*f = 6*l - 4, 0 = 4*l + 5*f - 41. Let x = 55 - l. Calculate the smallest common multiple of 12 and x.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.392*-116\nAnswer: -277.472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5526840 by 1842280.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 852271?\nAnswer: 7, 109, 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 4*y + 20 = 0, -4 = -4*t - 2*y + 12. Let m(i) = 6*i**2. Let x be m(-1). Let r be 1\/8*(-4 + x). What is the nearest to r in t, 1\/2, -3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 + 11322130?\nAnswer: 11322200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 3*o**2 - 2*o - 1. Let g be t(3). Which is smaller: 15 or g?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:44 PM and 10:26 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:31 PM and 6:12 AM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**3\/4 - 2785*s**2\/4 + 973339*s\/4 + 976125\/4.\nAnswer: (s - 2375)*(s - 411)*(s + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 - -112212122?\nAnswer: 112212122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 4, z: 2}. What is prob of picking 2 z and 2 a?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 118 is divided by -12*4\/112 - 342\/(-14)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3690*m - 14*m**2 + 40*m**2 + 3696*m + 43*m**2 + 5*m**2.\nAnswer: 74*m**2 + 6*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5478408 to the nearest integer?\nAnswer: 2341","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 283735494?\nAnswer: 2, 3, 7, 137, 5479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from {e: 1, n: 7}?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - 1 - 5\/((-40)\/64).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -47a3 (base 11) to base 5\nAnswer: -200114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*j**5 + 49358*j**4 + 197370*j**3 - 740366*j**2 - 2862380*j - 1974000 = 0. Calculate j.\nAnswer: -24675, -5, -2, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q**4 + 1402*q**3 - 23098*q**2 - 110538*q - 86040 = 0 for q.\nAnswer: -717, -3, -1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 228*d*i**2*z + 4*d*i**2 + 2*d*i + 2*d*z + 2*i**3*z - 2*i**2*z + i*z - 127*i wrt i?\nAnswer: 456*d*z + 8*d + 12*i*z - 4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n - n = t - 2, 294 = 147*t + n for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z - 2*z - 8. Let p(y) = -y + 1. Let g be p(z). Are -0.2 and g non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**3 - l**2. Let u be z(1). Suppose 5*n + 0*n + 50 = u. What is the units digit of (-243)\/(-15) + 2\/n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14478\/127)\/(-2280)*(-24)\/21.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 27 = 2*v. Suppose -29 = z + 46. Let r = -57 - z. Calculate the greatest common factor of r and v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 192 greater than 3288\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9034500.51 milliseconds to weeks.\nAnswer: 0.014937996875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -114\/5*k**2 - 2\/5*k**3 + 25432\/5 - 816\/5*k.\nAnswer: -2*(k - 11)*(k + 34)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -340 + 1187 = 5*t - 2*z, 506 = 3*t + z. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 176\/484*11825\/(-86)\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -8 - 1, 2*q - 4*f = 236. Let l = 171 - q. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**11\/h)\/(h*h*((h*(h**(-8\/11)\/h*h)\/h)\/h)\/h))**(1\/2) assuming h is positive.\nAnswer: h**(59\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**3 + u**2 - u. Let s(k) = 8*k**3 + 4*k**2 + 2*k. Let v(w) = -2*r(w) - s(w). Find the third derivative of v(i) wrt i.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12\/2071 + 250231\/62130. Let f = -18\/745 - -63433\/4470. Find the common denominator of n and f.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3484*d**2 - 1740*d**2 - 1752*d**2.\nAnswer: -8*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 1, -3\/4, -26, 0.01?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0006661 rounded to four dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 1122?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 18424558 to the power of 1\/2, to the nearest integer?\nAnswer: 4292","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3725 is divided by 266?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes before 10:25 AM?\nAnswer: 5:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**3 + 13*r**2 + 13*r + 18. Let c be s(14). Let y(h) = -1 - 6*h**2 - h**2 - 5*h**3 + h**2 + c*h**3. Let a be y(-6). Put 1, -3, a in ascending order.\nAnswer: -3, a, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -649 - -687. List the prime factors of -41 + o - -281*1.\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 5*c + 5. Let b(a) = -a**3 + 20*a**2 - 6*a + 113. Let k be b(20). Determine g(k).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-seven thirds of a day in minutes?\nAnswer: 32160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**3 - 14*s**2 + s + 10. Let f be p(-14). Let d = -5 + 9. Let b be 0 - -24999 - f\/d. What is b rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - p - 2 + 0 + 0 + p - 2*p + 0*p + p + (7*p - p - 4*p)*(3 + 2 - 4) + 3*p + 0*p - 2*p.\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -2360 divided by 590?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51 - 165 = -3*t. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -301260 (base 14) to base 3\nAnswer: -10001010200111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2385593*w**4 + 1777178*w**2?\nAnswer: -57254232*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s + 200. Suppose 6*u = 10*u. Let h be i(u). What is the greatest common divisor of 25 and h?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 + l + (-2 - 2*l + 2)*(-1 - 1 + 1) + 67 - 63 + 3*l + l.\nAnswer: 7*l + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -111\/968 and 79\/2310.\nAnswer: 101640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-5)*-3)\/((-957)\/(-435)).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the first derivative of -3*t**2 - 34*t + 11. What is the derivative of v(g) wrt g?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 267481543\/54 + -4956372. Let y = w - -3010. Which is smaller: y or 1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -12*u + 14*u. Let p(j) = -j**3 - 7*j + 11. Let b be p(u). Let f = 389 + b. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 229892 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2184 and 24?\nAnswer: 2184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -138 divided by 45.\nAnswer: -46\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -12741610*i*z + 39927*i - 16 wrt z?\nAnswer: -12741610*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 29*j - 6. Let f(a) = 1219*a - 253. Let b(p) = -6*f(p) + 253*q(p). Let s(r) = r. Calculate b(s(k)).\nAnswer: 23*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**2 - r + 1. Let x be j(-1). Let u be (27\/(-6) + x)*2. List the prime factors of 1 + (-6)\/9*u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -2*l - 11 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes after 11:02 PM?\nAnswer: 10:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the third derivative of 5393*z**4\/24 + z**3 + 2*z**2. Let t be w(5). Let f = -113029 - t. Round f to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 337.1 + -336. What is the closest to n in 2\/9, 0.4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 7\/2, 2\/11, 6\/7, 0.12, -2 in ascending order.\nAnswer: -3, -2, 0.12, 2\/11, 6\/7, 7\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11662401?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21)*2*3)\/((sqrt(343) - (sqrt(343) + -1*sqrt(343) - sqrt(343))) + sqrt(7)).\nAnswer: 2*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - g - 4*g + 6 - 5*g.\nAnswer: -10*g + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1115 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1899?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -2*b**3 - 109*b**2 - 436*b + 305. What is o(-50)?\nAnswer: -395","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4922 is divided by 1230.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -108496 divided by -8?\nAnswer: 13562","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-121)\/22 + 4)\/(-1 + 178\/(-8)).\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3967 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 702469452 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.504689 years in millennia?\nAnswer: 0.003504689","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 - 7. Suppose 0 = 3*f + s - 10. Solve -2*r + 4*c - f*c = 6, 2*c - 5 = -3*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 24323?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 4 - 0 - (-2 - (-7 + 1))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (202\/(-707))\/(64\/(-168)). Determine q, given that u*q**5 + 3\/4*q - 3\/4*q**4 - 3\/2*q**3 - 3\/4 + 3\/2*q**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the first derivative of u**6\/40 + u**5\/20 - u**4\/8 - u**3\/2 - 3*u**2\/2 + 5. Let n(q) be the second derivative of i(q). Find d such that n(d) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -34a24 + 1180?\nAnswer: -33854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 6589 plus 1?\nAnswer: 6590","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 33195 and 46129985?\nAnswer: 138389955","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 97106073.\nAnswer: 3, 283, 114377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -1\/2666215?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 3, -4, 4, 1.9, 3\/16?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2053436 - 3*f**2 + 2053436.\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 8959654337 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12 - -20. Suppose 5*n + 7 - 2 = 0. What is the smallest common multiple of -2 + 5 - n - (0 - -2) and u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -2267.2 and 2433.\nAnswer: 165.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -2*s. Let j(y) = -912*y**2. What is j(o(c))?\nAnswer: -3648*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1018 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6655 is divided by 247?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 + 10. What is the lowest common multiple of (8\/2)\/(4 - 49\/x) and 7?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16 - 95\/6. Suppose 4*i = -2*w + 63 + 481, 3*w = -5*i + 821. Let y = -284 + w. What is the closest to y in z, -2\/5, 0.3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -33 - -47. Let d = -219 - -222. Let w = -3.5 + d. Sort w, 1, g in ascending order.\nAnswer: w, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -14*l**2 + 36*l - 6. Let m(w) = -9*w**2 + 24*w - 4. Let s(k) = -8*m(k) + 5*u(k). Does 44 divide s(-13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98 + 27 = 5*i + 2*h, -i - h = 13. Let u = 19 + i. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:44 PM and 2:48 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000011161 rounded to 5 dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 + (3 - (-5 - -3)). Let w = 8 - f. Calculate the greatest common factor of w and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 37, 43, 45, 43, 37, 27, 13?\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6072 + -6039. Which is the closest to -0.49? (a) j (b) -0.4 (c) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 4*y**2 - 3*y + 2. Let w be b(-2). List the prime factors of -2 - w\/(-9) - 415\/(-3).\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3 + -4 + 8 + 1 + -2. Solve -5*v + 3*m + m + 12 = 0, 2*v + 2*m - 12 = y for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 116023, 116992, 117989, 119020, 120091, 121208, 122377?\n\"Answer: a**3 + 8*a**2 + 938*a + 115076","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*q - 22*q - 32*q)*(4 - 3 - 2) + (2 - 1 - 3)*(8*q + 21*q - q).\nAnswer: -16*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 - -3. Suppose -3*p + 9*k - o*k = -110, 142 = 4*p - 2*k. Calculate the highest common factor of 14 and p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1195.9971 - 1196. What is a rounded to 3 dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and 1395868?\nAnswer: 2791736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/453 (b) -0.1 (c) -5 (d) -16 (e) -1\/4 (f) -71\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**2 + 22*r - 23. Let c be m(21). Let u be (1\/c)\/(12\/120). Let h(g) = g**2 + 5*g - 6. Give h(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -4*p**3 + 8*p**2 - 7*p + 9. What is g(3)?\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 36696.9 - 704.86.\nAnswer: 35992.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v\/v**(-4\/11)*v*v**(-3\/2)\/v)**(-45) assuming v is positive.\nAnswer: v**(-855\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (36\/(-180))\/((-1)\/15). Solve v = -u + k, -3*u + k + 5 = 12 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -2*p**3 - 81*p**2 + 212*p - 48. Let g be m(-43). Suppose g = 7*j + 20*j. Factor 3\/5*l**4 + 12\/5*l**j + 3 - 18\/5*l**2 - 12\/5*l.\nAnswer: 3*(l - 1)**2*(l + 1)*(l + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + 48 = 5*u, 4*d - 372*u + 374*u = 24 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 23607602251 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(2\/3))**22\/(q**(3\/5)\/(q\/(q*q*q**(-3))*q))*((q*q**(-3\/11))\/(q**(-1\/2)\/q))\/(q**(1\/3))**(-4) assuming q is positive.\nAnswer: q**(2269\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 14503 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 275897 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - 294*x = -297*x - 113, -2*n - 4*x = 44 for n.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - q = -2*k + 12, 0 = 4*k - 5*q - 28. Let g(x) = x**3 + 2 + k*x - 4*x - 25*x**2 + 35*x**2. What is the tens digit of g(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/10 and 782\/(-2108) - 1\/2?\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-7)\/(21\/12) - -8. Let l = 5 - 3. What are the prime factors of 45 - ((-1 - l) + f)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5159 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1, -295, -82, -0.1, -5?\nAnswer: -295","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 44800 by -16766.\nAnswer: -22400\/8383","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6874 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 4 + sqrt(76) + -3 + sqrt(76) + 0)**2.\nAnswer: 16*sqrt(19) + 308","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, -10, 0, -4, 484, -3 in increasing order.\nAnswer: -18, -10, -4, -3, 0, 484","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-168)\/(-2856)*(4 - 2)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 114 and 15150.\nAnswer: 287850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes before 7:37 PM?\nAnswer: 3:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**3 - 6*f**2 + 6*f - 8. Let n(u) = 2*u**2 - 3*u - 3. Let y be n(3). What is the units digit of q(y)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/(-3) - (-2470)\/(-15). Let c = f - -301. Let s = c - 76. What are the prime factors of s?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 126216?\nAnswer: 2, 3, 1753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2592)*1 - sqrt(2592) - sqrt(2592) - (sqrt(18) - sqrt(18)*-1)*-3)\/(2*-5*(sqrt(18)\/sqrt(2) + sqrt(9))) + 3)**2.\nAnswer: 9*sqrt(2)\/5 + 459\/50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.19 + 24.19. Let n = y + -24.3. What is the nearest to 0 in n, -2, 4\/5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*h - 354 + 126. Suppose -10*k = -12 - h. Let r(w) = 4 - 3 - 2*w + 5. Give r(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2510161.\nAnswer: 109, 23029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.49 + 0.01. Let a = -4 - -4.5. Let t = v - a. What is the biggest value in t, -1\/3, -3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -g**4 + 12683691*g**2 - 8*g + 533713552 wrt g.\nAnswer: -4*g**3 + 25367382*g - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -215, 2, -0.1, 1, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -6, 53, -15, -5, 1 in decreasing order.\nAnswer: 53, 1, -5, -6, -7, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 42392 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 866 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.5 (b) 0 (c) -5\/4 (d) -68 (e) 0.0389\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes before 7:11 PM?\nAnswer: 12:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2606*t - 45 + 5221*t - 2609*t + (-2*t + 2*t - 2*t)*(0 - 3 + 1) - 4*t + t + 4*t + 0*t + 0*t - 2*t - 2*t - 3*t + 4*t to b + f*t and give f.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -7116?\nAnswer: -7116","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 1463*n**4 - n**2 - 25*n + 1663. Let s(o) = -732*o**4 + o**2 + 15*o - 832. Let m(k) = -5*s(k) - 3*y(k). Differentiate m(g) with respect to g.\nAnswer: -2916*g**3 - 4*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 44*a - 18 + 4*a**3 - 34*a - 30*a - 3*a**3 - 20*a**2. Let u be y(21). Solve -4*x - 5 = u*n, 5*x + 40 = n + 10 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.5, 1\/8, 58.6?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 4*k**2 + 49*k - 7. Give l(-13).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 7 - 3 = 0. What is the hundreds digit of -2*(-56 + w + -4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, 0.3, 5\/9, 38, -2\/9, 3?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1749 a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2085?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/((r*r**(1\/5)\/r*r)\/r)*r*r\/r**(1\/5))**40*((r**(-12)*r)\/r*r**(4\/7))**6 assuming r is positive.\nAnswer: r**(248\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/6 + 6 + 2*(-77)\/28.\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, t: 1, n: 1, b: 1, r: 5}. What is prob of sequence enet?\nAnswer: 1\/2520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 155193089.\nAnswer: 61, 443, 5743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.8 + 1. Let s(t) = 4*t**2 - 6. Let h be s(5). Let p = 468\/5 - h. What is the second smallest value in p, 0, x?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -732573694, -1465147386, -2197721078, -2930294770?\nAnswer: -3662868462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1231?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + (sqrt(77)\/(-1*sqrt(11)) - (sqrt(441)\/sqrt(9))\/sqrt(7)))*-6*-4)**2.\nAnswer: 11520*sqrt(7) + 30528","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-127*n**2 - 266 + 266)*(-39*n + 22*n + 16*n + 4*n**3).\nAnswer: -508*n**5 + 127*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 260?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -4*y**2 - 79*y - 80. Calculate u(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -882.6 to the nearest ten.\nAnswer: -880","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.6379 - -0.597. Let q = -0.017 - i. Round q to 3 decimal places.\nAnswer: 0.024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -25933.5 - -25933. Which is the fourth biggest value? (a) 191 (b) -8 (c) t (d) -0.2 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/(-6)*87\/29?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10546761 a multiple of 203?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**3 + f**2 - f. Let t = -64 + 68. Let z(b) = b**2 - 3*b - 4. Let p be z(t). Determine a(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -5*s**3 + s**2 + s. Let t be q(-1). Suppose -t*v + 14 = -16. Let m be ((-44)\/v)\/((26\/(-360000))\/13). Round m to the nearest one hundred thousand.\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 366, 728, 1090?\n\"Answer: 362*k + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(880)*1)\/sqrt(5).\nAnswer: 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 0*p + 2*p - 4*p. Let a(i) = 11*i**2 - 2. Let t(n) be the second derivative of 52*n**4\/3 - 39*n**2\/2 - 3*n. Let l(b) = 39*a(b) - 2*t(b). Give g(l(v)).\nAnswer: -26*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + 3*b = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -69b81b (base 14) to base 6.\nAnswer: -205131201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**2)**(-48)\/(s**(-2)*s)**(2\/9) assuming s is positive.\nAnswer: s**(-862\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -5761718*m. Let f(v) = 2*v. What is y(f(u))?\nAnswer: -11523436*u","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (3\/(-2) + 4)*7244\/10.\nAnswer: 1811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 868*g**3 - g**2 + 21*g + 21. Determine v(-1).\nAnswer: -869","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.99, -2.4, 4, 14, -8 in ascending order.\nAnswer: -8, -2.4, -0.99, 4, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 50*r + 54 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3 and 244.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -221*b - 5744 = 40*b + 98*b for b.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.8 in -249, -0.6, 27\/7, 2\/7, 0.02?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1251317 + 3?\nAnswer: -1251314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -372, -374, -376, -378, -380?\nAnswer: -382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -270 = -56*d + 2*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 41378 and 62.\nAnswer: 1282718","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -68005 + 122125. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 224866737 to the nearest integer?\nAnswer: 14996","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -25244 (base 6) to base 5\nAnswer: -110042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 324 + -105. Suppose -2*x = 0, -4*x - d = -4*i + 53. Calculate the remainder when 676 is divided by i.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(308) + (sqrt(308) - (sqrt(308) - (sqrt(308)*-1 + sqrt(308)))))\/sqrt(11))\/sqrt(2))\/(sqrt(42)\/(sqrt(72)\/sqrt(192))).\nAnswer: sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*t = 1689 - 2409 for t.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 8*w - 10*w + 226 = 0, 0 = 3*y - 5*w - 117. Suppose 41*c - y*c = 0. Solve 3*f + c*f - 15 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -80 - -89. Solve -2*k = -h - f, 3*h - k + 6 = -2*k for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.266888 + -0.037196. Let t = 0.01 + 0.22. Let o = t - f. Round o to five dps.\nAnswer: 0.00031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -361.5 to the nearest integer.\nAnswer: -362","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 + -1)\/(7 - 4). Suppose l = m + 6*v - v + 18, -4 = v. Solve q = -q - 3*s + 15, m*q - 4*s = -20 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 92 - 37. Does 11 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 11*l + 14. Let p be v(6). Suppose 0*q - p = 4*q - 5*d, -3*q + 3*d - 57 = 0. Let f = q + 21. What is the least common multiple of f and 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 63 and 54?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1056)\/40)\/11*1\/(-4)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9 - -17. Find the common denominator of 65\/8 and 14\/(-32) - (j - 6).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1077472.\nAnswer: 2, 11, 3061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 155 + -153?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes before 11:58 AM?\nAnswer: 9:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/3*3*6\/(-36).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 2309, 0.1, -0.3, -2 in decreasing order.\nAnswer: 2309, 0.1, -0.3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3.5 + -3.6. Let l = 0.28 + -1.58. Let g = l + 1.32. What is the closest to b in -1, g, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8.4 - 17.6. Let z = -63 - y. Let f = -7 + z. Is 1 less than or equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**3 - 4*n**2 - 4*n - 6. Determine j(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -64\/8915 and 39\/93172448.\nAnswer: 465862240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 452 or 498?\nAnswer: 498","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 167381 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -33\/4*o**2 + 0 + 0*o - 1\/4*o**4 - 17\/2*o**3 = 0.\nAnswer: -33, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-1)\/2)\/(2\/64). Let f = 20 + x. Suppose 8*t - 3*t + 1 = -3*j, -3*j - 2*t = -5. Sort 5, -4, j, f.\nAnswer: -4, j, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**2 + 119*v - 1080. Does 122 divide y(55)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -239 + -182. Find the common denominator of -45\/2 and v\/(-312) - 1\/(-8).\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - 37*d + 721 = 17*d - 429 for d.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 743079?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = 3*n - q, -q + 6 = -2*n + q for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (588\/30)\/((-168)\/240)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the third derivative of 7\/12*v**4 + 50*v**2 + 0*v + 0 - 1\/2*v**3. Let t(y) = -2*y**2. Calculate l(t(u)).\nAnswer: -28*u**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 173800041.\nAnswer: 3, 61, 97, 9791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 800 is divided by 266.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 25434127 to the power of 1\/3, to the nearest integer?\nAnswer: 294","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -6*d - 5*d**2 + 2*d + 4*d + 2*d + 7. Let n(r) = 3*r**2 - r - 4. Suppose v + 7 = 2*v. Let y(f) = v*n(f) + 4*k(f). Factor y(g).\nAnswer: g*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -44979, -359455, -1212945, -2874957, -5614999, -9702579, -15407205?\n\"Answer: -44918*x**3 + x**2 - 53*x - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the third derivative of 1\/30*s**6 + 0 + 0*s**5 - 2\/105*s**7 + 0*s**4 - 5*s**2 + 0*s**3 + 0*s. Factor l(f).\nAnswer: -4*f**3*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from poopooo. What is prob of picking 2 o?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41 = -2*j + 199*h - 212*h, -4*h = 3*j + 15 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put together 419129266 and 8424.\nAnswer: 419137690","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f - 3. Let u be i(6). Let b(s) = s**3 - s**2 + 2*s - 4. Let k(w) = -w**3 + w**2 - 3*w + 5. Give u*b(z) + 2*k(z).\nAnswer: z**3 - z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = 4*x + 2*n - 110, 2*n = x - 25. Find the third derivative of -x*g**5 - 17*g**5 - 27*g**2 + 24*g**5 wrt g.\nAnswer: -1200*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4.8 - -0.8. Let f = 9735\/14 + -491\/2. Let j = -450 + f. Sort b, 9, j.\nAnswer: b, j, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w - 910 + 904 = -3*z, -4*z + 8 = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(567)*2 - sqrt(567)\/sqrt(225) - ((-1*sqrt(847))**2 + sqrt(63) + 4 + (sqrt(700) + 1)*-1 + sqrt(700)).\nAnswer: -850 + 72*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 15118 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the third derivative of -1\/168*g**8 + 1\/60*g**5 + 0*g**6 + 0*g**4 + 0*g**7 + 0 + g**2 + 0*g**3 + 0*g. What is the third derivative of r(p) wrt p?\nAnswer: -120*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 1083818\/612 + (-10)\/4 + 8\/(-18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-40)\/(-140)*-2*(-21)\/(-54).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 160, 573, 1266, 2275, 3636, 5385, 7558, 10191?\n\"Answer: 6*l**3 + 104*l**2 + 59*l - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -21*k**3 - 1739433*k - 317108649 wrt k.\nAnswer: -63*k**2 - 1739433","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-3)\/56)\/(396\/2112))\/(4\/49)?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 600 to the power of 1\/2, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05919 rounded to three decimal places?\nAnswer: 0.059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 22*h + 88. Let g be v(-4). Let m be (0 - g)\/(-1 - 8 - -4). Solve m = -5*a + 2*u - 2 + 12, u + 5 = 4*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -3*c**2 + 2*c + 192. What are the prime factors of q(0)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, 5, 2\/1395, 0, 4 in ascending order.\nAnswer: 0, 2\/1395, 2\/9, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/8 of a millennium?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 119\/3, -4, 11, -13, 4\/5, 1\/4?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 20.\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 + 16 = -9*l. Let u(r) = 6267*r - 6270*r - 2 - l. Let i be 2\/3 + (-9)\/((-54)\/(-28)). Calculate u(i).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 + 37de6?\nAnswer: 37de3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 4*r + 312 = 0, -67 = -w - 3*r + 11. Let b be (2 + w\/(-21))\/((-4)\/42). Let z be 8\/b*18\/4. Solve -6*s - 8 = -z*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n = -3*c, 0 = 25*n - 23*n for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*m - 2 - 19*m + 2.\nAnswer: 10*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 283.718 times 5?\nAnswer: 1418.59","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-21))**46\/(s**32*s**(-10)) assuming s is positive.\nAnswer: s**(-988)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2973699 divided by 110137.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(242) + (sqrt(242) - (sqrt(242) + 2)) + sqrt(242) + sqrt(242))**2 - (-2 + -2*sqrt(242))) + -1.\nAnswer: -44*sqrt(2) + 2180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 4*d - 4657, 177 + 971 = d - 3*i. List the prime factors of d.\nAnswer: 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 34 + (-29 - 12) - (5 - 0).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5299*k**2 + 126208*k - 23232 = 0. What is k?\nAnswer: -24, 968\/5299","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77*i - 28*i + 134*i + 2013 = 0 for i.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.1 minus -174109?\nAnswer: 174110.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iwwasaw. What is prob of picking 2 w and 1 s?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -2*d + 8. Let v(g) = -477227*g. Calculate v(t(w)).\nAnswer: 954454*w - 3817816","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**3 + 5*a**2 + 5. Let i be g(5). Suppose -4*t - 3 = 2*m + m, -i*m = t - 12. Solve m*f = 8*f - 25 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2355876*k**2 + 1995361 wrt k.\nAnswer: 4711752*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 5*w + 14 = 0, i + 0*i - 4 = -4*w. Let c be (15\/10 + -1)*(-6 + 5 + 3). Let o = -60 + 57. Put c, i, o, -1 in descending order.\nAnswer: c, -1, o, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 59860, 119722, 179584?\nAnswer: 239446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2c1 (base 15) to base 4.\nAnswer: 21313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 482213 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 - (-4)\/((-2)\/2). Let g be 1 + -700001 + 0\/r. Round g to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68852 is divided by 560?\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 60061+-2623715\nAnswer: -2563654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -8*v**3 - v**2 - v + 1. Let a = -34 - -35. Determine w(a).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 7) to base 12\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 1.03 (b) -1\/3 (c) -4 (d) -1 (e) 142\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/5 in 87, 5, -3\/14, 0.14?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 69, 144, 217, 288, 357, 424?\nAnswer: 489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*i = -0*i - 12 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 60*r**2 + 1359*r**2 + 2114*r**2 - 667*r**2 to c*r + w + l*r**2 and give l.\nAnswer: 2866","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 y when two letters picked without replacement from {b: 1, q: 1, a: 2, y: 5}.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 24 = 49. Suppose -2*n + i + 1 = 0, y*i = n - 15 + 1. Suppose -3*g - 38 = 1. Put g, 0.3, n in ascending order.\nAnswer: g, n, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -101*j - 25*j - 62*j + 133497484. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -54.791646 at most as big as -0.7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/7 + (-561)\/(-2233). Let x = 33\/116 + q. Factor 0*v + 0 + 3\/4*v**3 - 1\/2*v**4 - x*v**2.\nAnswer: -v**2*(v - 1)*(2*v - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5.2 + 5. Let g = -5.48 - -0.48. Let v = g + 5. Which is bigger: v or t?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a + 4*m - 21 = 0, -1776 = 5*a - 5*m - 1781 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the third derivative of 7*y**6\/60 + y**5\/60 - 28*y**2. What are the prime factors of g(2)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from {z: 2, i: 7, h: 3}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1\/7 - 118\/(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33989025 a multiple of 641?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 23 = -5*t, t = -t + 3*b + 5. Solve -4*d + t = 23 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*m - 2*t - 40, 67352508*m - 67352511*m - 2*t = -8 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 132, 2, -4 in descending order.\nAnswer: 132, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7030 + 8960. List the prime factors of h.\nAnswer: 2, 5, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 235792?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (20 + -21)\/(1\/(-115))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 5*o**2 + 4*o + 5. Let q(z) = -z**2. Let v(c) = 2*q(c) + t(c). Is v(-6) 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 5:24 AM and 1:03 PM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15434 + 2*f**2 - 4*f**2 + f**2.\nAnswer: -f**2 + 15434","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -509, 4, -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (1024\/700416)\/((-2)\/(-48))?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 247073357?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 + -6. Let g = 154 - 150. Solve g*c - p = -0*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1145677 and 0.4?\nAnswer: 458270.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4.51 + 0.49. Let f = -7135 + 7141. What is the fourth biggest value in 0, c, f, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5.09439 * 4.\nAnswer: -20.37756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*k - 435*k**2 + 101*k**2 + 125*k**2 + 126*k**2 + 107*k**2 + 25*k.\nAnswer: 24*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 84, 3623, 13222, 31911, 62720, 108679, 172818?\n\"Answer: 505*o**3 + 4*o - 425","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9 and 26352?\nAnswer: 26352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 - -6b?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 8560*o + 5572. Let y(b) = 2117*b + 1393. Let j(h) = -4*s(h) + 18*y(h). Differentiate j(a) wrt a.\nAnswer: 3866","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - (16 - 12 - -6 - (3 + -6) - 2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8616 = -74*x + 86*x. What are the prime factors of x?\nAnswer: 2, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 164 is divided by 111.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 21 = 2*d - 6, d = -3*h - 14. Suppose 10 + d = r. Is 12 >= r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/3)\/((-5)\/30*2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2826345 is divided by 65?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l + 4*l - l)*(0 - 3 + 2)*(833*l**2 - 37283 + 37283).\nAnswer: -4998*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 31653251549 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -64 + 84. Let g be (h - 24)\/(-2 - -1). Suppose -5*f - 145 = -2*r - 1045, g*f = -3*r + 697. What are the prime factors of f?\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 a when two letters picked without replacement from pakaijtikjja?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1141 - 756. Calculate the remainder when b is divided by 33.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -23*q - 1. Calculate the remainder when 85 is divided by n(-1).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 114 - 7*d - 114.\nAnswer: -7*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*u + 19*u = 0. What is the third smallest value in u, -0.2, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 32 - 16*m - 3*m**2 + 5*m**2 + 0*m - 9. Is 18 a factor of a(11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 7\/2*(-12540)\/(-1995). Suppose 2*p = -0*p + 48. Which is greater: p or i?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*-6*(4*sqrt(128) + -5 + 4)*-1.\nAnswer: -30 + 960*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 17*m**2 - 32*m + 5. Is i(6) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 319 and -0.0019786.\nAnswer: 318.9980214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*a = 6*a + 33. Let j = a + 8. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(162) + 0 + sqrt(162) + sqrt(162))**2 + 3 - -5*(sqrt(16)\/(4*sqrt(8)*2))**2.\nAnswer: 46757\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/121354 and 69\/658.\nAnswer: 849478","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-43 - -110) + (-1 + (3 - (6 + -1)) - 3)?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kikckikc. Give prob of picking 1 c and 3 i.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 s when two letters picked without replacement from ssmupsuss?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00112292073 to 3 dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 140.168448us?\nAnswer: 0.00000000023176","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -46446 - -2?\nAnswer: -46444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 55468077?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 144 - 144.000000084. Round j to 7 dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 + 5.8. Let k(y) = -y**2 - 3*y - 3. Let p be k(-2). Which is the closest to l? (a) -4 (b) p (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -446575676 divided by -111643919.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from voovoddvooooooovvvo. Give prob of picking 1 d and 2 o.\nAnswer: 110\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -22 - -32. Let t = 10.2 - c. Which is smaller: t or 3\/4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**2. Let f(k) = 2*k + 362045. Determine f(m(i)).\nAnswer: -2*i**2 + 362045","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 7\/(-12) + 10\/15. Which is the third smallest value? (a) d (b) 5 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2135720 divided by -427144?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 201, 221, 235, 243, 245?\nAnswer: 241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1\/103 - 98\/515. Let t = -6 - -18. Let k be 0 + 5 + 2*t\/(-6). Which is the smallest value? (a) -3 (b) r (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(76)\/sqrt(4) + 0 + -2*sqrt(2299) + sqrt(2299).\nAnswer: -10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -7 - 2*g + 2 - 4*g**2 + g**3 - 2*g**3. Calculate the remainder when (21\/(-6))\/(2\/(-4)) is divided by l(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -23150 and -0.24.\nAnswer: -23150.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3801071 + -24?\nAnswer: 3801046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 4*i**3 - 4*i. Let v(r) = 3*r**3 - 4*r. What is -4*m(j) + 5*v(j)?\nAnswer: -j**3 - 4*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2124 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4084 - 4105 - (-304)\/14?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:46 PM and 2:08 AM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -64 - -69. Let w(f) be the first derivative of -5*f**2\/2 + 26*f + 12. Let z be w(s). Solve l + z - 2 = -2*x, x + 3*l + 12 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2*d - 3)*(-15 - 76*d + 44*d + 37*d).\nAnswer: 10*d**2 - 30*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1100 + -444. What is the remainder when o is divided by 33?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 371*z**2 - 578*z + 6197. What are the prime factors of f(11)?\nAnswer: 2, 3, 5, 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 81 + g - 18*g + 50*g**3 + 17*g wrt g.\nAnswer: 150*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -4752, -9498, -14244, -18990, -23736, -28482?\n\"Answer: -4746*z - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1737?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3 + 5\/((-5)\/(-48)). Suppose 7*m - 2*m = g. Suppose m = 2*f + 3. Let z(v) = 2*v - 1. Calculate z(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 55444?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the third derivative of j**6\/320 - 67*j**5\/16 + 112225*j**4\/64 + 1322*j**2. Let l(i) = 0. What is i?\nAnswer: 0, 335","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 912.31052 to 1 decimal place.\nAnswer: 912.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(-6) + 0 + (-129)\/(-18). Suppose 10 + b = n. List the prime factors of n.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**3 + 14*d**2 - 3*d + 3. Does 28 divide r(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = 16, -4*r - s + 71 = -97. Calculate the lowest common multiple of 86 and r.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1260 divided by -36?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3 and -479877.3?\nAnswer: 479880.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -13 - (-5 + 0 + (-12 + 6 - -13))\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -51489396 divided by -588.\nAnswer: 87567","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:05 AM and 5:43 AM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.67 * -0.0576565\nAnswer: 0.038629855","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.08 - 22.08. Let d = 22 + r. Which is the third smallest value? (a) d (b) 3 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33894 is divided by 25?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 752 = -4*y + 540, 4*y - 1280 = 2*p. Suppose y*d = 322*d - 1340. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7163 is divided by 1022.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 75626 - 66?\nAnswer: 75560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 45 = -5*g - 8, g - 7 = t. Suppose g = -4*d + 4*l, -2*l - 1 = 3*d - 5. Suppose 4\/9*j**2 + 0*j - 2\/9 + d*j**3 - 2\/9*j**4 = 0. What is j?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-596)\/(-2235)*(-4)\/(-16)\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 29, 20, -50, -2 in descending order.\nAnswer: 29, 20, -2, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6412?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = c - 2360*j + 2356*j, -5*c = 5*j - 15 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes before 9:31 PM?\nAnswer: 2:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the first derivative of -w**6\/180 + w**5\/90 + 4*w**3\/3 + 3. Let z(s) be the third derivative of k(s). Factor z(j).\nAnswer: -2*j*(3*j - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the first derivative of 4*o**5\/5 - 29*o**4 + 420*o**3 - 3038*o**2 + 10976*o + 46. Factor y(q).\nAnswer: 4*(q - 8)*(q - 7)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9270 (base 11) to base 10\nAnswer: -12298","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + f + 1)*(3*f - 4*f - f) - 2 - 813*f**2 + 117*f**2 - 480*f**2.\nAnswer: -1178*f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 + -3)*6\/(-4). Solve -j*i = -6 + 3 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3*(-5 + 4))\/((-5)\/5).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5000 - -11340. What is the thousands digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8502*u + 8497*u - 4*m = 34, -5*u = -5*m + 25 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1184\/28)\/8 + 1*-5. Let z = 0.9 - -0.1. Which is the closest to t? (a) z (b) -1 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, j: 2, r: 5, s: 3}. Give prob of sequence jrs.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 104 + 424?\nAnswer: 532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**3 + 2*w**2 - 12*w + 337. Let p be o(0). Which is smaller: p or 341?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 172697 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -4, 8824376 in ascending order.\nAnswer: -8, -4, 8824376","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 963959731 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2443 (base 6) to base 10.\nAnswer: 603","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5174543, 5174535, 5174515, 5174477, 5174415, 5174323?\nAnswer: 5174195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (8 - 1) + (-40)\/10. Let y(h) = 2*h - 3. Let q(n) = -2*n + 4. What is p*y(f) + 2*q(f)?\nAnswer: 2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 2 d when three letters picked without replacement from ohddo?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 0 - 3)*(3 + 2 - 4)*(40 - 7*c - 40) + 29 - 29 + 3*c.\nAnswer: 59*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 78 and 576069.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 15.5017 tonnes?\nAnswer: 15501700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 4*c**2 + 10*c. Let p(r) be the second derivative of -r**4\/4 - 3*r**3\/2 + 82*r. Calculate -4*d(l) - 5*p(l).\nAnswer: -l**2 + 5*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 9 = -4*f. Suppose -132 + 36 = -f*d. What is the common denominator of (2 - 3) + (-33)\/d and -39\/10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes before 6:13 AM?\nAnswer: 8:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 47 + 1 - (55 + -94 - -37)?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12 + -12. Suppose q = t + t. Differentiate 4*y + t*y + 3 - 1 wrt y.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the third derivative of -p**9\/504 + 445*p**8\/84 + 3609*p**5\/20 - p**2 + 2*p + 349. What is the third derivative of i(r) wrt r?\nAnswer: -120*r**3 + 106800*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -85.066 - -3.506. Let a = r + 8.96. Let v = a - -65. Round v to the nearest integer.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1196*g**4 - g**3 - 22*g - 11?\nAnswer: 14352*g**2 - 6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48989 is divided by 1354?\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*z + 6 = 14*z - 2*g, -z - 1 = -g for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*z**2 - 3 + 11 + 15*z + 0*z**2.\nAnswer: -2*z**2 + 15*z + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 551 to the power of 1\/2, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -h - 3*x + 4, 4*x - 4 = h. Let f be 22\/(-77) + (-47)\/(-91). Let w = f - 11\/104. Is h smaller than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -241.7, 4, 5, -7 in ascending order.\nAnswer: -241.7, -7, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(-3\/5)*o*o**5\/o)\/((o**(-4)\/o)\/(o\/(o**(-5)*o*o))) assuming o is positive.\nAnswer: o**(72\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 + -dda6c?\nAnswer: -dda70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*g - 3 - 4*g + 5*g)*(-376 + 415 + 319) in the form j + i*g and give i.\nAnswer: -716","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let j = 571 - 569. Solve 4*n + j*d = 14 + 2, -d = -3*n + 2 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5332.1094 rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 41\/2 of a millennium?\nAnswer: 205","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + s - 80 = -3*s, -5*d - 3*s = 100. What is the units digit of 1 - (d + (5 - 2))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20 divided by -10\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t**5 + 4980*t**4 + 64052*t**3 - 14948*t**2 - 202152*t - 128128 = 0 for t.\nAnswer: -1232, -13, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 - 15 + 496*x + 695*x.\nAnswer: 1191*x - 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -205, -4, 1200 in descending order.\nAnswer: 1200, -4, -5, -205","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45 = -5*f + 129*s - 125*s, -5*s - 5 = 4*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**3 - 7*i**2 + 7*i - 4. Let p be n(-8). Suppose 15 = p*f + 5*u - 7, -2*u + 13 = 3*f. Solve 1 = j + f*d - 7, 2*d = -3*j + 17 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -22*t - 14*t - 21*t + 70*t. Let r(n) = -n. Calculate r(x(p)).\nAnswer: -13*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2738996817 is divided by 1020?\nAnswer: 1017","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0\/(-1))\/(3 - (2 + 0)). Suppose 9*y - 5*y - 304 = j. Does 24 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 61*u - 1022. Determine g(16).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f - 14*f + 240 = 0. Let q = -9 + f. What is the highest common factor of q and 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 20*l**3 + l**2 + l. Let o be x(-1). Let k be 46\/(-4) + (-30)\/o. Is -11 at most k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -64*b - 56. Let t be j(2). Is -190 greater than or equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 613 and 0.1?\nAnswer: 61.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i**(1\/23))\/(i*i**(16\/3)))\/((i*(i**26*i*i*i*i)\/i*i)\/i**(2\/13)))**(-21) assuming i is positive.\nAnswer: i**(226898\/299)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 241.091 to the nearest ten.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-657)\/(-108) + -5 - (-4)\/48?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 216 and 100728.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1002212 (base 3) to base 6.\nAnswer: -3422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -27 * -20478.48.\nAnswer: 552918.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Total of -151704720 and 1.\nAnswer: -151704719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 169\/270 and 77\/576?\nAnswer: 8640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.034489 rounded to four dps?\nAnswer: -0.0345","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -94*0.07\nAnswer: -6.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 + 4 - 8 - 39*i**2 to t + s*i**2 + r*i and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -5688000 to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, j: 14}. What is prob of picking 3 j and 1 m?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -4*a. Suppose 0 = 2*u - 4*s + 4, 2*u - 28 = 6*u - 3*s. What is the remainder when i(u) is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**2 - 2*s + 15. Let y be u(0). Calculate the greatest common factor of 5 and y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 21\/(-60) - (-3)\/(-12). Let x = -3 - -3.2. Let a = -0.7 + x. Put a, -3\/4, u in ascending order.\nAnswer: -3\/4, u, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 96 = -q, 4*q - 2 = c + 46. Let n = c - -93. List the prime factors of n.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1b0 - 58?\nAnswer: -248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 184544699?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 55 - 170. Let m = -71 - a. Suppose -4*z = -20, 0 = -3*y - 2*z - m + 1365. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes after 2:23 PM?\nAnswer: 12:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -247942*b + 293750 wrt b.\nAnswer: -247942","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 7*o + 115. Give i(-15).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*18.8.\nAnswer: -1.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.7 less than 0.35375?\nAnswer: -1.34625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4175?\nAnswer: 5, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w = -5*t - 9, -83 = -2*t - t + 5*w - 77 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 67095 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 21.934 - 22. Let g = 24.334 - r. Let j = -24.287 + g. What is j rounded to two decimal places?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1344720285 to the nearest integer?\nAnswer: 1104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 222547\/371 - 3\/(-21). Calculate the highest common divisor of 975 and j.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7348 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f - 4. Let j(q) = 4*q**2 - q. Let g be j(-1). Let x be n(g). Solve x = -i - 1, -o - 4 = i for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1031035051 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -192*a + 265*a - 39*a - 36*a. Let s(z) = -635*z. Determine w(s(c)).\nAnswer: 1270*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 414 (base 6) to base 8\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/28326 and 7\/6918.\nAnswer: 32659878","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3716338009 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 90*r**2 + 41*r**2 - 232*r**2 to x*r + d + s*r**2 and give s.\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**2 - 8*j. Suppose 34 = -2*g - 4*y, 0 = -4*g + 3*y - 8*y - 53. Determine o(g).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -9*a**3 + 3*a. Let d(p) = -3*p**3 + p. Let b = 24 - 17. What is b*d(c) - 2*r(c)?\nAnswer: -3*c**3 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 133*h - 206*h - 466*h - 21*h to x*h + i and give x.\nAnswer: -560","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 4*k - 11. Let t be x(6). Suppose -t = -4*g - 1. Suppose 6 = -g*n + n. Which is the third biggest value? (a) n (b) 3 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 6*v + 1. Let s(q) = 26*q + q**2 - 12*q - 13*q - 3. Let j be s(0). Let u(o) = 5*o. Give j*u(t) + 2*p(t).\nAnswer: -3*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes after 5:57 AM?\nAnswer: 9:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3368)\/85463)\/(2\/28*-4)*2\/(-4)?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -3*i - 6. Let r be b(-3). Suppose r*u = 3*f - 6, 0 = 5*f - 5 - 20. Suppose 5*k - 2*h - 20 = 3*h, -h = u. Put k, 3, 5 in decreasing order.\nAnswer: 5, 3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -612 - 468 = -5*w. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 117761 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:56 AM and 2:13 PM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*2*(2*sqrt(7) + 4))**2.\nAnswer: 2304*sqrt(7) + 6336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16 + -11. Suppose 4 = -h*l + 139. Let r = l - -1. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 967, 1936, 2905, 3874, 4843, 5812?\nAnswer: 6781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 3*x - 3*k, 5*x + 1 = -10*k + 13*k for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 198673 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > 37\/3492403?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2359541\/3444 + 440\/287. Let q = o + 171587\/252. Let h = -16\/21 + q. What is the common denominator of h and 131\/6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -815915546 + 815915400.2141076. Let m = y - -128.78588. Let o = m + 17. Round o to six decimal places.\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(3\/14))**(2\/33)\/(h**(-20)*h*h**(3\/5)) assuming h is positive.\nAnswer: h**(21337\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-261)\/(-40) + (-54)\/(-15) + -4 and 11\/6*(-27)\/4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15706176 and 117424?\nAnswer: 2864","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/9594 and -19\/63576.\nAnswer: 33886008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**3 - 2*o**2 - 4*o + 8. List the prime factors of u(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-945)\/(-14))\/5*(8 - -2). Suppose -144 + f = 3*l, -3*l + 261 = 2*v. Calculate the lowest common multiple of v and 45.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(1 + -3) + 17 + -5. Put 6, r, -1, -4 in ascending order.\nAnswer: -4, -1, 6, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2609*o + o**2 + 2614*o - 2*o**2 - 5223*o.\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1437 + 1452. Solve 16*g = 19*g + i for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 + 4. What is the third derivative of -b**u + 4*b**2 + b**2 + 2*b**5 wrt b?\nAnswer: 120*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -15 and 1.71.\nAnswer: -13.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-12284)\/16)\/(6\/(-24))?\nAnswer: 37, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:18 AM and 4:44 PM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, 89973, -0.5, -215?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the first derivative of -f**8\/3360 + f**7\/840 + f**6\/720 - f**5\/120 + 2*f**3 - 2. Let a(g) be the third derivative of c(g). Factor a(d).\nAnswer: -d*(d - 2)*(d - 1)*(d + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 - -1)*(-76)\/8. Let j = -15 - y. Calculate the least common multiple of 4 and j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 8) to base 16\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:42 AM and 12:31 PM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 15*p**3 - p**2 - p. Let f be b(-1). Let u = -3 - 30. Let d = f - u. What is the highest common factor of 2 and d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*q - 1102 = -46*q. What is the remainder when q is divided by 17?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8320 divided by -10.\nAnswer: -832","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 26491, 26489, 26487, 26485, 26483, 26481?\nAnswer: 26479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*l + 2*l + 5*l + 5*l.\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**3 + 3*o**2 - 6*o - 6. Let y be q(-4). Let i(l) = -l**2 + 4*l - 2. Let k be i(4). Let h = k - -3. Which is greater: y or h?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 13355\/59 or 227?\nAnswer: 227","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 87 = -22. Suppose 0*m = -3*m - 3*d - 96, -5*m + 3*d = 160. Let r = u - m. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 2*v - 4 = 0, 4*v = -3*j + 112. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*z**5 - z**4 + z**4 + (2 - z - 2)*(z**4 - 2*z**4 + 0*z**4) - z**5 - 2*z**5 + z**5.\nAnswer: -5*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**2 - 9*z - 5. Let k be n(-8). Let g(r) = -r**3 - 7*r**2 - 6*r - 3. Let c be g(-6). Sort c, k, 8 in decreasing order.\nAnswer: 8, k, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the first derivative of 7*y**2\/2 - 346. Let v(h) = -28*h**2. Give v(l(q)).\nAnswer: -1372*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -2*n**2 + 2513*n - 2509. Give m(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 663 a factor of 3570918?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 4*v = 4*y - 3*y + 60 + 16, -26*v = -468 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*s + 4*s - 50*s + (4 - 4 + 3*s)*(0 + 1 - 3).\nAnswer: -45*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 696 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -407*x + 378*x + 33495 = 0. What is the highest common factor of x and 110?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 5*u = 45, -4*l + 5*u - 20 + 53 = 0. Calculate the smallest common multiple of 168 and l.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 131 - -242. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 10*(-2)\/(-3) - (-2)\/(-3). Suppose -n - t*n + 70 = 0. What is the second derivative of -8*y**3 + 4*y**4 - 22*y + 18*y**3 - n*y**3 wrt y?\nAnswer: 48*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 380763067 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -4, 1\/3, -0.026435?\nAnswer: -0.026435","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.56 - 0.46. Which is the smallest value? (a) -9 (b) z (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 20993 = -17*i + 21*i, 4*i - 16 = 0. Round b to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 23.2 or -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 5, 3, 8 in descending order.\nAnswer: 10, 8, 5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes before 12:24 AM?\nAnswer: 12:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2678471 and 76.\nAnswer: 20.3563796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 13) + (66 - 33) - 7?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2765 - 2757. What is the closest to -0.2 in 1\/4, q, -2\/7, 2\/3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -129.\nAnswer: -5\/129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 0 + (-2374)\/1320 - 628\/4710 and 101\/198?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2*(7 - 150\/12). Suppose 0 = 3*v - 5*a - 28, 6*a - 4 = v + t*a. Solve -3*g = -v*g - 15 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 138*d**3 + 10*d**2 - 17. Is t(3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-51 + 18 - 8)*(-3*r**3 + r**5 + 3*r**3).\nAnswer: -41*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v - 2*v + 3*v)*(-10 - 2*v + 12*v**3 + 4 + 4).\nAnswer: -24*v**4 + 4*v**2 + 4*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10229 - -3255. What is the thousands digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g + 5. Let p(k) = k**2 - 5*k + 5. Let a = -20 - -25. Let v be p(a). Determine f(v).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 20002723 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (5 - 4) + (1 - 1). Solve 0 = 3*n - 4*n - d for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -132300*z**5 + 430920*z**4 - 555642*z**3 + 354380*z**2 - 447059*z\/4 + 27889\/2 = 0.\nAnswer: 1\/2, 2\/3, 167\/210","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**2 + 48*x - 481. Let u be b(33). Suppose 2*g = -0*g + 42. Calculate the greatest common factor of u and g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (44\/(-33)*-1)\/((-195)\/9 + 10)?\nAnswer: -4\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -245 (base 9) to base 13.\nAnswer: -128","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1*((-184)\/8)\/(2 + -3). Solve 4*u + z = j, 11 + 5 = -2*u + 2*j for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -113002 (base 6) in base 12?\nAnswer: -5762","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.072657 + 0.06643. What is q rounded to 4 decimal places?\nAnswer: -0.0062","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61697 is divided by 61051?\nAnswer: 646","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + 7.4. Let v = q + -4.8. Suppose -8 = 4*d - 0. What is the nearest to -0.1 in 0.3, v, d?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 183 and 2013.\nAnswer: 2013","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*b**4 - b + b + (4 + 2 - 4)*(2*b**4 - 2*b**4 - b**4) + 0*b + 0*b + 2*b**4 + (3*b**3 - 4*b**3 - 4*b**3)*(-1 - 2*b + 1).\nAnswer: 19*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 21*a**2 + 9*a - 1. Let k(c) = 10*c**2 + 5*c. Let r(l) = -5*k(l) + 3*v(l). Calculate the remainder when r(1) is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(3\/6*-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3876 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11, 34, 71, 128, 211, 326?\nAnswer: 479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 3*h - 12 - 9 + 20. Let l(a) = a. What is -l(g) + t(g)?\nAnswer: 2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -158.11 - -158. Sort h, -16, 0.1 in descending order.\nAnswer: 0.1, h, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3 - -1) + 27 - 3. Suppose -v = -a + 4*l, 3*a + 2*l - 10 = -0*a. What are the prime factors of -4*3\/a*-38?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from {h: 9, f: 5}.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 - 2 - 3)*(l - 4*l + 2*l)*(107 + 7*l + l**3 - 107) to the form w*l**2 + i*l**3 + m*l + o + h*l**4 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 355 is divided by 89.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1066*n**2 - 973*n wrt n?\nAnswer: -2132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.7 or -0.142?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**2 + g + 5. Suppose p - 1 - 5 = 0. What are the prime factors of j(p)?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 - 10 = -4*r + 3*m, 3*m - 1 = -r. Suppose 4*w + 3*d - 311 = 0, -6*w + r*d + 227 = -3*w. Calculate the greatest common divisor of w and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 3*o**2. Let q(t) = -70*t - 136. What is q(z(x))?\nAnswer: -210*x**2 - 136","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 657439574194*k**3 - 657439574195*k**3 - 2*k - 4*k**2 + 2*k + 4*k**2.\nAnswer: -k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -25*p**2 - 1018850460*p - 407540180 = 0.\nAnswer: -40754018, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(-15) + (-6)\/9.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -129*u**2 + 68110*u + 1047. What is i(528)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 1744 = -0*x. Let m = x - -294. What is m rounded to the nearest ten?\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7.80903 millennia?\nAnswer: 93708.36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.135358 centuries to millennia.\nAnswer: 0.9135358","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 111.33026 - 9562.6.\nAnswer: -9451.26974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1432500559?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1.3001 and -9459.\nAnswer: -9457.6999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o + 617 - 95. Round o to the nearest ten.\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -24 - -28. Suppose 3*a + 4 = n*a + 5*m, 4*a = -m + 16. What is the second derivative of -17*z + 9*z**4 - 3*z**a - 2*z + 3*z wrt z?\nAnswer: 72*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -5, 11 in descending order.\nAnswer: 11, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15 + -10. Let n be j - 3 - (-2 + (2 - 1)). Solve -5*k + 4*g = -0*k - 10, n*k = -g - 11 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -132*q - 648. Calculate c(-5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22140*z - 37*z**3 + z**4 - 22038*z + 25*z**3 - 91*z**2 = 0 for z.\nAnswer: -6, 0, 1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 24*b + 5635. What is f(-187)?\nAnswer: 1147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/2016 and -67\/9.\nAnswer: 2016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*h**2 + 239 + 1451 + 9*h**2 + 307 to j*h**2 + z + t*h and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(162)\/sqrt(9) + sqrt(2) + sqrt(2))**2 + (-5*sqrt(98))**2.\nAnswer: 2500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1273, 9.9, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**1)\/d)\/d**(-18)*d\/d**(-6)*d**5 assuming d is positive.\nAnswer: d**31","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -6*b + 8. Solve b*g + 1 = 2*c - 1, -2*g - 5 = 3*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -31 + 30. Let m(u) = -u**3 - u**2 + u. Let a(z) = 6*z**3 + 6*z**2 - 3*z. What is x*a(i) - 5*m(i)?\nAnswer: -i**3 - i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -140.6 + -77.4. Let v = -218.2 - m. Sort 2\/9, 3, v, 5.\nAnswer: v, 2\/9, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 82 = -2*z. Let o(v) = -4*v - 9 - 2480*v**2 + 0*v**3 + 2488*v**2 - v**3. What is the remainder when z is divided by o(7)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:56 PM and 11:43 PM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 109 + 2. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-3*sqrt(143))\/(sqrt(275)*-1).\nAnswer: -6*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001307483 rounded to five dps?\nAnswer: -0.00131","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 533*m = -523*m + 1058*m. Let y(s) be the first derivative of m*s**2 + 2\/5*s**5 + 0*s + 0*s**3 - 12 + s**4. Factor y(l).\nAnswer: 2*l**3*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*b*l**4 - 11*b*l**3 - 2*b*l - 8*b - 2*l**5 wrt l.\nAnswer: 36*b*l**2 - 66*b*l - 40*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 995597 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 (base 14) in base 10?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -13.3071436 to 1 decimal place.\nAnswer: -13.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6208062.\nAnswer: 2, 3, 7, 147811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -36\/5 (b) 5\/16 (c) -0.4 (d) 1\/5 (e) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 1 - 3)*(0*n + 0*n - 3*n) + 2 - n - 2)*(-2*n**4 + 3*n**4 + 2*n**4).\nAnswer: 6*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x**3 + 3 - 3)*(0 + 9*x + 1 - 8*x).\nAnswer: -2*x**4 - 2*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 66299 to the power of 1\/2, to the nearest integer?\nAnswer: 257","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(88)*-2 + -3*-2*sqrt(88))\/((2*sqrt(2304) + sqrt(2304))\/sqrt(2)).\nAnswer: -sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 15*k**6*p - 49*k**3*p - 31*k**3 - 238*k**2 + 6*k*p + 253*k - 1 wrt k?\nAnswer: 1800*k**3*p - 294*p - 186","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48423641.\nAnswer: 7, 6917663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 105 divide 105?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 51*v**4 - 51*v**4 - 2948*v**5 - 1247*v**5 - 1902*v**5 + 0*v**2 + 0*v**2 - 2*v**5 + (5*v**2 - 5*v**2 + 2*v**3)*(-v**2 + 4*v**2 - 4*v**2).\nAnswer: -6101*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -12311 and -1?\nAnswer: 12311","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 8 (b) -1.16 (c) -11 (d) -6\/5 (e) 1 (f) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -0.2 (b) 0.4 (c) 4\/3 (d) 0.359 (e) -1 (f) 2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbb when three letters picked without replacement from accgbbb.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 1932*f**2 - 12*f + 2056. Let n(u) = 1930*u**2 - 16*u + 2055. Let o(i) = -4*a(i) + 3*n(i). Find the first derivative of o(p) wrt p.\nAnswer: -3876*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*g + 2*g**2 + 3*g**3 + g - 5*g**2 + 7 - 2*g**3 in the form r + s*g**2 + d*g**3 + b*g and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjjjjqjq. What is prob of picking 2 q and 2 j?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(14) - (sqrt(70)\/sqrt(5) + sqrt(14)))\/sqrt(2))**2 + (sqrt(14)\/sqrt(2)*3)**2 - 5*(-5 + sqrt(567)).\nAnswer: -45*sqrt(7) + 95","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f**4*f))**45\/(f**(-16)\/f**(-1)))**(-33) assuming f is positive.\nAnswer: f**5445","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5 - 5\/2*q**2 - 23\/2*q.\nAnswer: -(q + 5)*(5*q - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q**2\/13 + 32380*q - 841872\/13 = 0. Calculate q.\nAnswer: 2, 210468","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sum -34.9217 and -5432237167.\nAnswer: -5432237201.9217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13857 is divided by 180?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -23.34 > -1\/76249?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**2 - 2*n - 2*n**2 - n**2 + n**2. Let t be w(-1). Does 2\/23 = t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -3*a**3 + 3*a**2 + 5*a - 3. Let z be u(-3). Let n be (-2 + (-6)\/(-4))\/((-9)\/z). What is the greatest common factor of n and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*n + 362 = -54*n + 80*n - 1728 for n.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3557495 by 711499.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -142*q + 123*q - 133 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4571?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-2*sqrt(275)*2*-5 + (3*(sqrt(275) + -3) - (sqrt(275) - (5 + (sqrt(275) - sqrt(275)*2) + sqrt(275)))) + 3)**2.\nAnswer: 180*sqrt(11) + 89101","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 33 - 35. Suppose -3*s = -p, -28*s + 31*s = 2*p + 3. Which is the second smallest value? (a) 3 (b) s (c) 2\/3 (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 121 - 244. Let n = t - -338. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the first derivative of -x**3\/3 + 1. Suppose 0 = 4*f - 9*f + 35. Let m(h) = 9 - f*h - 9. Calculate n(m(o)).\nAnswer: -49*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y*y*y\/y**(-4\/3)))**9 assuming y is positive.\nAnswer: y**(-30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 95667?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/(-38) - 96*14\/(-5187). Which is the second biggest value? (a) -1 (b) m (c) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 714?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 386229076 to the nearest integer?\nAnswer: 728","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-104)\/(-6)*-3*175. What is g rounded to the nearest one thousand?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 5612166, 11224322, 16836470, 22448610?\n\"Answer: -4*b**2 + 5612168*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*k - 80 = -11*k. Solve -k*j + 3*j - 5 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -167 + 168. Solve m = 8*w - 15 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -47, -185, -417, -749, -1187, -1737?\nAnswer: -2405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 6*b**5 + 190*b**4 + 2222*b**3 + 11250*b**2 + 19516*b - 7840 = 0.\nAnswer: -10, -8, -7, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -104 = -10*b - 44 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 0.5, -4, -9 in ascending order.\nAnswer: -9, -8, -4, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*q**2 + q**2 - 278*q**3 - 5*q**2.\nAnswer: -278*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -90916*y + 1181924. Determine v(13).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 37 - 4. Suppose q + 20 = -0*q. Let v = y - q. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(90)\/sqrt(6)*3)\/(sqrt(3) + sqrt(108)*3).\nAnswer: 3*sqrt(5)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b - 3*m + 34 = 7, 0 = 3*b + 3*m - 24 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2194472 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.07*0.029.\nAnswer: -0.00203","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -2*t. Let q be 14*(8\/(-7))\/(-2). Let y(s) = q*s**2 - 14*s**2 + 4*s**2. Calculate p(y(k)).\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 24.55 + -24. Let u = d + -0.5. Let k = u - 0.05. What is the nearest to k in 5, -3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b471 (base 16) to base 2.\nAnswer: -1011010001110001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 13 - 7. Suppose 0 = -4*i - z*y + 259 + 41, 375 = 5*i + 3*y. Is i a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * 251.8.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/515 and 19\/1020.\nAnswer: 105060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4587507?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/4 (b) -1.85 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 587 + -281. Let n(p) = -4*p + 1. Let y be n(-1). Suppose -y*l + 41 = -4*c - b, 5*l - 338 = c. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1+-99165590189310\nAnswer: -99165590189311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.46 + 0.46. Let z(g) = g**2 - 14*g - 3. Let s be z(13). Let h be (-2 + (-1)\/(-1))*s\/28. Which is the closest to u? (a) -1\/2 (b) 2\/5 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2200 + 4395\/2. Let a(u) = -u**3 - 6*u**2 - 6*u - 4. Let m be a(-5). What is the third biggest value in p, -1, m?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.97190624+-1286.8\nAnswer: -1287.77190624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:16 PM and 2:37 AM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**3 + 3*s**2 + 22*s + 3. Let a be f(-5). Let v = -69 - a. What is the highest common divisor of v and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*u**2 - 2*u**2 + 0*u**2)*(25*u - 110*u - 178*u).\nAnswer: -526*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 2*n**2 - 28*n - 7. Let r be i(19). Let u be (r\/(-21) - -3) + 6\/(-21). Let b be u\/3*(2 + -1)*-2. Solve 0 = 5*q - 14 + b for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 8 = -5*w, 13*h = 17*h + 4*w - 64 for h.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 2*a - n, 1 = 3*n + 10. Suppose 4 = -w - 3*w. Let h(t) = -42*t**3. Let u be h(w). Calculate the highest common factor of u and a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 138085.3 litres in millilitres?\nAnswer: 138085300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 16*o**2 + 4*o + 3. Let c = 7 + -9. Is r(c) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 5*k - 7. Let c(b) = -5*b + 6. What is -2*c(a) - 3*m(a)?\nAnswer: -5*a + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-88)\/(-192)*152\/44*12\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-14))\/((4 - -3)\/(-7))\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 - 55.4\nAnswer: -55.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 531508*d*f*x - 315*d*x**3 - f*x**3 + f*x**2 + 56*x**3 - 5*x**2 + 28*x + 47 with respect to d.\nAnswer: 531508*f*x - 315*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-12)\/(-54)*-15)\/(4\/(-3)). Let c = u - 3. Is c <= 85?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 151*t - 5937 + 1750 = 2155 for t.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2134 is divided by 60.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 9*d**3 - 2*d**2 + d. Let y be f(7). What are the prime factors of 16\/12 + y\/3?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 4 = -2*i, -3*x - 10*i + 17 = -15*i. Suppose x*n = 9*n + 55. What is the smallest common multiple of n and 6?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 16204*h + 46532. Determine y(-3).\nAnswer: -2080","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 129, -1, -2 in increasing order.\nAnswer: -2, -1, 129","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nanaaaaaa. What is prob of sequence nn?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00002816739 rounded to 6 decimal places?\nAnswer: -0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-12)\/(-16)*(4 - 0). What is i in 2*i**4 + i**w + 4 - 16*i - 6*i**2 + 18*i - 3*i**3 = 0?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74626178437 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -15\/88 and ((-5)\/(-175)*7)\/(128\/710).\nAnswer: 704","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 46459 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y - 3*y. Let x = 5691 - 5689. Let l = 4 + 3. Solve u + 1 = 2*r, -l = -x*u - y*r - 5*r for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 455727 is divided by 21.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-56 + 45)\/((2\/(-84))\/(-1)). Let q = 1379 + u. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -2*y - 19. Suppose -3*d = 1 - 25. Suppose 154 = v - d*v. Calculate the remainder when a(v) is divided by 15.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29 - y + 64 - 35.\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 13 + 2 = 2*s, 0 = 4*k + s - 11. Let o = -1654 - -1660. Solve 4*a + 5*i = -33, o*a + 3*i = k*a - 21 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 510 = -2*v, 2*v + 340 = -5*l + 1603. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 6 + 9)*(j**3 - 4 + 4).\nAnswer: 14*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -990206*k**4 + 990206*k**4 - 609*k**5 + 0*k**3 + k**5 + 0*k**3 + (-k**2 + 2*k**4 + k**2)*(-2 + 2 - k) + 33*k - 33*k + 5*k**5.\nAnswer: -605*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00927828 rounded to three decimal places?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00116266418 to three decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1333 + -130?\nAnswer: 1203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 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: 30 divided by -21\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*m - 3610 = -2*b, -m = -4*b + 3*b + 1805. What is the thousands digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -187*r = -775159 + 790306 for r.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + 4*d = 30, 2*s - d + 15 = -3*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -8*((-2)\/(-4) + (-18 - -17)). Suppose -3*l - q = -l, g - 2*l - 74 = 0. List the prime factors of g.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.03 - 0.23. Let t = l + 1.2. What is the nearest to 0 in 0.3, -1\/5, t?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -407 = -13*a - 394 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2121 - 165620?\nAnswer: -163466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5270727*q + 339078 wrt q?\nAnswer: 5270727","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 77 and 22225.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25 + -31 - (-11 - 1).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -206 divided by -6\nAnswer: 103\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2023383 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(7\/9))**(-44))**23 assuming a is positive.\nAnswer: a**(-7084\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 4, -4*m = -8*m + 3*y + 350. Which is greater: 0 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is ab + -a417?\nAnswer: -a328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -67908*x + 68190. Determine y(1).\nAnswer: 282","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -97389.22 - -0.19.\nAnswer: -97389.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 - (-1 - (-28 + 27)) - 25.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**2 - w + 1. Suppose s + 4*f = 7*f + 20, 2*f + 35 = 5*s. Let u(v) = 2*v**2 + 11*v + 4. Let x(y) = s*p(y) + u(y). Find j, given that x(j) = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15\/14 - -4\/7. Let v = -34 - -32. Let o = -6442\/9 - -716. Sort 0, z, o, v.\nAnswer: v, z, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5256)\/6424)\/((-96)\/(-44)).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2 + (4 - -4) + -4. Suppose a*w - 2 = 2*q, 5*q = -3*w + 6 + 29. Solve 0 = 3*r - q*v + 3, 2*v - 6 = -3*r + 9 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 4, -81, -5, 1 in increasing order.\nAnswer: -81, -5, -2, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 80*w**2 - 63*w - 16. Let o be u(8). Calculate the highest common factor of o and 184.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 13, x: 2, v: 5}. Give prob of picking 1 v and 1 f.\nAnswer: 13\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*o**5 + 3*o**5 + 10*o - 4*o**5 wrt o?\nAnswer: 80*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 38550364 and 38550363 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 367275 a multiple of 249?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:24 PM and 2:54 AM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -2 + (-2 + sqrt(637))**2 + -2 + -3.\nAnswer: -28*sqrt(13) + 637","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -11*i**2 - 7*i. Let m(l) = 8*l**2 + 3*l - 5. Let n(z) = 13*z**2 + 5*z - 8. Let f(s) = 8*m(s) - 5*n(s). Determine 5*f(c) - q(c).\nAnswer: 6*c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2729*t = 2717*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 813069, 1626084, 2439099, 3252114, 4065129, 4878144?\n\"Answer: 813015*g + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-3)\/2)\/(1\/(-6)). Suppose 0 = d + 7 - f. Calculate the lowest common multiple of 20 and d.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 5, y: 5, u: 2, a: 3}. What is prob of sequence udya?\nAnswer: 5\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 63\/12*12\/(-18).\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -62 by -5.\nAnswer: 62\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 99*l - 158*l + 86*l.\nAnswer: 27*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((3*sqrt(66)*-2 - sqrt(66))\/(2*sqrt(600) + sqrt(600) + sqrt(600) - sqrt(6)))**2 - (-4*(sqrt(110) + sqrt(110)*1))\/(3*(sqrt(160) - sqrt(10)))) + -4.\nAnswer: -5545\/1521 + 8*sqrt(11)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6866.\nAnswer: 2, 3433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -134 = -3*h - g - g, -214 = -5*h - g. Suppose -6*a + 3*a = h. Calculate the remainder when 2\/a - (-2280)\/84 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15 divided by -541\nAnswer: 15\/541","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*(39\/273)\/(30\/63)?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*(l*l**(-1\/3))\/l)\/(l*l\/(l**(-6)\/l*l))*(l**(-1))**(-13)*((l**0)**0)**(13\/5) assuming l is positive.\nAnswer: l**(17\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/((-3)\/(-228)*2). Let h = -74 + 172. Let a be 1 + (h - 4\/1). What is the greatest common divisor of v and a?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:51 AM and 2:37 PM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/4 + -3 + (5 - 0). Let n(z) = -5*z + 20. Let d be n(x). Solve -d*b = -0*b - 10 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-15))\/((-8)\/5*1).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 531532684 to the power of 1\/3, to the nearest integer?\nAnswer: 810","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1166.1996231 from -9.\nAnswer: 1157.1996231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-3)\/g)**27)**(-8\/9)\/(g\/(g\/((g\/g**(-4\/9)*g*g*g)\/g))*g*g\/(g*g\/(g\/g**14)))**26 assuming g is positive.\nAnswer: g**(3100\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -2*q**2 + 225*q + 4802. Calculate b(131).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i = -3*i - 357. What are the prime factors of i?\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1985, -7928, -17841, -31730, -49601?\nAnswer: -71460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 177 - 0.1045?\nAnswer: 176.8955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ykbjssbjsiyjby. What is prob of picking 1 s and 2 j?\nAnswer: 9\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25152*n - 11 = -25141*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 840179 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, 5, -4, 8 in decreasing order.\nAnswer: 8, 5, 2\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -937, -346, 1837, 5672, 11219?\nAnswer: 18538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -71 - -212. Let n = p + -131. Solve 0 = f - n + 6 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1260 a factor of 40737233?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes before 11:21 PM?\nAnswer: 10:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and -3848?\nAnswer: 3848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i**2 + 2776*i - 2772 = 0. What is i?\nAnswer: 1, 693","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.5 and -924862?\nAnswer: 924861.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 21682 take away -181426387?\nAnswer: 181448069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -21*j**5 + 5928*j**4 - 119880*j**3 + 846678*j**2 - 2112243*j + 537138 = 0.\nAnswer: 2\/7, 7, 261","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 7669 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-3\/2)\/a)\/(a\/a**(1\/8)*a)*(a**(-2)*a*a)**(-10) assuming a is positive.\nAnswer: a**(-35\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1\/(15\/6))\/(-2). Let n = 0.6118 + -0.1118. What is the second biggest value in -2\/11, n, s, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2232.\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 4*s**2 - 2*s + 3. Let c be r(2). Solve 2*y + 3*w + c = -0*w, -4*y + 3*w = -15 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -23, -67, -171, -365, -679?\n\"Answer: -5*r**3 - 9*r - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 395, 424, 483, 578, 715, 900?\n\"Answer: v**3 + 9*v**2 - 5*v + 390","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 28, 147, 362, 673, 1080, 1583?\nAnswer: 2182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand n + 0*n + 2*n + (6*n - 2*n - 3*n)*(-5 + 1 + 2) + (3*n - 5*n - n)*(-5 + 2 + 2).\nAnswer: 4*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 101 = -d - 2*g + 5*g, 4*g = -2*d - 222. Let y = d + 28. Let z = 159 + y. Calculate the greatest common divisor of 16 and z.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 163 - -728\nAnswer: 891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 17240470199 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = z + 60. What is the remainder when 98 is divided by z?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -121 + 69 = -o - 3*o. What is the highest common divisor of 10036 and o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 4350.16 milligrams?\nAnswer: 4350160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 567 - 563. Let t = -0.31 - 6.79. Let y = t + 0.1. Sort x, 0.2, y in descending order.\nAnswer: x, 0.2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.474 and 21719231.\nAnswer: 21719231.474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**2 + 77*x - 734. Let n be r(9). Does 4 = n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 31 = -5*k, 5*k + 0*f + 4*f = 13. What is the units digit of k - 2 - (-1 + 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*x + x - x + 1 + 2*x - 1 + (0 - 1 - 1)*(6 + 6*x - 6) - 2*x - 3*x + 3*x + (-29*x + 30*x + 43*x)*(1 + 0 - 3) to the form c*x + y and give c.\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2734 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 611\/78 - 6\/(-36). Let a(m) be the second derivative of m**4\/12 - m**3 + 10*m**2 + m. What is the tens digit of a(h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1812889 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ehwweweeeew. Give prob of picking 3 e.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from cefc?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 29*a**2 - 5*a - 1 + 30*a**2 - 58*a**2. Let h be x(6). Suppose 7*u - 48 = h*u. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4321 and 3.2.\nAnswer: 13827.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l. Let w(t) = -46*t - 1. Let h(k) = 5*a(k) + w(k). What is the hundreds digit of h(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*c**3 - 6*c**3 + c - 3*c**3 - 2*c**2 to the form a + z*c**2 + f*c + j*c**3 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 162 divide 9016596?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 30, 32, 34?\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 144 in 4\/3, 2\/11, 10, 0?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17601.\nAnswer: 3, 5867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 190\/6*3216\/40736\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 5*a - 2661 = -357, j - 4*a = 576. Which is bigger: j or 1149\/2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2194?\nAnswer: 2, 1097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-5)\/p**(1\/4)*p*p\/(p\/((p\/((p**(-13\/2)*p)\/p))\/p))*p\/(p**4*p*p) assuming p is positive.\nAnswer: p**(-11\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*t**3 + 2000*t**2 + 20455*t + 18450.\nAnswer: -5*(t - 410)*(t + 1)*(t + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**2 + 7*j + 10. Let k(s) = -s**2 - 7*s - 11. What is -4*k(z) - 5*t(z)?\nAnswer: -z**2 - 7*z - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 86235?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 256 + -246. Let w be ((-3)\/(-2))\/(21\/28). Let i = h - w. Solve -3*u - 4*c - 17 = -i*u, -2*c = 2*u + 4 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:39 AM and 12:47 PM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 + 25954?\nAnswer: 25959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.0354 times -57.2\nAnswer: 2.02488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5 or -3349999?\nAnswer: -3349999","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -24848*i**3*p*y**2 - 35*i**3*p + 12*i**3*y**2 - 5*i**2*p + 27*i**2 + 2*i*p + 1 wrt y.\nAnswer: -49696*i**3*p*y + 24*i**3*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the first derivative of 1\/2*w**6 - 3\/2*w**4 + 4 + 2*w**3 - 3*w + 3\/2*w**2 - 3\/5*w**5. Let t(s) = 0. What is s?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2232 and 180?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-five quarters of a litre?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*w + 0 + 0)*(-36 - 22 - 21)*(w + 0*w - 2*w) in the form j + q*w + k*w**2 and give k.\nAnswer: 158","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -h**3 + 3464258*h + 3464233*h - 6928491*h + 51*h**2 - 51*h**2.\nAnswer: -h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 114 + 30*l - 6*l + 10 - 10*l - 124 - 15*l.\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - q - 33 = 8, -3*x = 2*q + 122. What is the third smallest value in -5, x, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5763468 to the nearest integer?\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0\/(0 + 1) - 36. Let i = -36 - f. Solve i = -0*x + x + 2 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(-9) - (-17)\/9. Let i be (5 + n + -3)*(-54)\/(-36). Suppose i*t = 4*t + 148. Which is smaller: 75 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-1056)\/(-16940))\/((-3)\/(30\/4)). Are -1 and k non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13\/25 at least as big as 2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 10045*m**3 + 8*m**2 + 4*m + 3. Let s(l) = l**2 - 1. Let h(u) = o(u) - s(u). Let i be h(6). Round i to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 744286426?\nAnswer: 2, 13, 28626401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 989309 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5680 and 5743048?\nAnswer: 57430480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.78 * -2727476.\nAnswer: -7582383.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v + 4. Let z be 1*(-2)\/4*-6. Suppose -4*h = -5*t - 2, 5*h + 6*t = z*t + 21. Let b = 0 - h. Determine c(b).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 2 g when three letters picked without replacement from gigcmmccgcgcgcgmmx.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1, 1, -4 in increasing order.\nAnswer: -4, -1, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 2*t**2 + 166*t + 495. Let d be c(-3). Let x(m) = m**2 - 18*m + 50. Determine x(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**3 - 11*f**2 + 46*f + 212. Give b(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.4155496 less than 1?\nAnswer: 3.4155496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -45039\/14 or -3216?\nAnswer: -45039\/14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 21\/4 of a micrometer?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 - 1)*(-4 + 3 - 1)*(-4*y + 4*y - y).\nAnswer: 4*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**3 + 10*k**2 + 55*k + 3. Let h be m(-4). Solve -6*x + 3*g + h = -7*x, 5*g = -10 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11469?\nAnswer: 3, 3823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the first derivative of 1\/3*b**2 + 4\/3*b - 2 - 2\/9*b**3. Factor c(i).\nAnswer: -2*(i - 2)*(i + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 3) to base 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3908718?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(2\/11))**20\/(d**(-2))**(-46) assuming d is positive.\nAnswer: d**(-972\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 53 (b) 0.2 (c) 1\/2 (d) 0.14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 29036238 a multiple of 102?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 5 + -6 + 4 + -1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4278 + -4171. Calculate the remainder when 361 is divided by d.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 + (5 - -1) + -66 + 55\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 31351 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, -2\/7, 5\/2, -422?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -263*n**2 + 265*n**2 - 3 - 79*n + 192*n + 169*n.\nAnswer: 2*n**2 + 282*n - 3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let q = -156 + 240. Suppose -2*t + 8 = w - 13, -9 = 3*w. What is the greatest common divisor of t and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**3\/4 + 2*l**2 - 75*l\/4 + 63\/2.\nAnswer: (l - 3)**2*(l + 14)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f = 57 + 41. Let w(d) = d + 25. Is w(f) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x + 11. Let j be (-4 - 3) + (-11 - -5). Calculate m(j).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 - 5*h**2 - 2*h - 10. Let d be r(-5). Let y be (-13)\/(-3) - (-2)\/(-6). Suppose y*c = -d*c - 8000. Round c to the nearest 10000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {e: 3, y: 1}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**3 - 30*f**2 - 50*f - 392. Calculate p(32).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 9 = -4*b. Let o be b\/((0 + 6)\/2). Let q(c) = -c**2 + c + 3. Let w be q(2). Is o greater than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4*-3*(3 - 4). Solve -2*r = r + b for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*p**4\/9 - 16844*p**3\/3 - 3750322*p**2\/9 + 16844*p\/3 + 3750320\/9 = 0. Calculate p.\nAnswer: -74, -1, 1, 25340","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 2*p - 5 = 5, -2*p + 6 = 3*b. Solve -3*i + 16 = 5*x - 18, -b*i - 4*x + 32 = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 7.163227 years?\nAnswer: 0.7163227","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 58\/8816*-1007*-8?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (18 + -26) - (1 + -10)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12 + 5. Let t(p) = p**2 + 6*p + 2. What is the units digit of t(w)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 - 40*z**2 + 3 - 2.\nAnswer: -40*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 4 = -u - 7, -3*g = 3*u - 9. Suppose 48 = 4*s - g*t, -8*s - t = -3*s - 53. What is the highest common divisor of 11 and s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvev. What is prob of picking 2 e?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**3 + 2*c**2 - 2*c + 26. Let l be y(-4). Is ((-33520)\/(-32))\/(l\/4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 298800.\nAnswer: 2, 3, 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -55 - -92. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7744)\/(-1452))\/((-28)\/(-3))?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2142 and 306?\nAnswer: 2142","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-21 - -3) + -218 + 211\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the first derivative of 5*a**3 - 31*a - 3*a**2 - 2*a**2 + 32 + 5*a**2. What is the first derivative of c(t) wrt t?\nAnswer: 30*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((m\/((((m\/(m\/m**0)*m)\/m)\/m)\/m))\/m**2)\/(m**(-8)*m\/m**1))**(-15\/8))**0 assuming m is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1089, 2194, 3529, 5274, 7609, 10714, 14769?\nAnswer: 19954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 11 - 8)*(h + 2*h**2 + 2 + 0*h**2 - 3*h).\nAnswer: -28*h**2 + 28*h - 28","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-19)\/(s*s\/(s*(s*s\/((s**(-30)\/s)\/s))\/s*s*s)*s) assuming s is positive.\nAnswer: s**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-14)*42\/(-33)?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/4 or -38920?\nAnswer: -38920","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1252 is divided by 1247.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 91, 99, 101, 97, 87, 71?\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 + 120 = 5*v. Suppose -3*k = -u - 41 + 3, 8 = 3*k + 5*u. Let y = v - k. List the prime factors of y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/4)\/(3\/318). Suppose 3*s - 77 = v, -2*v + 9 = 3*s - f. Does 8 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 322*m + 147857 - 147857.\nAnswer: 322*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 117810 + 879 = 46*a - 43*a. What is the ten thousands digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1775 is divided by 127?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 919669 is divided by 49?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eyysyeyhllyyky. What is prob of picking 2 y and 1 k?\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**3\/15 + 156*t**2\/5 + 12168*t\/5 + 316368\/5.\nAnswer: 2*(t + 78)**3\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -3*k**2 + 6*k + 553. Suppose -s - 96 = -4*s. What is the remainder when b(13) is divided by s?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -23 - -47. Find the common denominator of (-3)\/2*113\/21 and 2 - (8\/q)\/(4\/66).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19236466 is divided by 108070?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 21 - 1 = 0. Let z be 0 + 29 + -6 + 2. Let o = z + -21. Calculate the remainder when w is divided by o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.27140313 and 2.\nAnswer: 0.54280626","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*k**3 + k**3 - k**3)*(39*k + 37*k - 65*k) in the form i*k**4 + v*k + x*k**3 + j + r*k**2 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 11 - -112?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-3\/4)\/k)\/k**(-5))\/(k**2)**(2\/169) assuming k is positive.\nAnswer: k**(2181\/676)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 977 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(110)\/(sqrt(10) - (sqrt(30)\/sqrt(3) - sqrt(10))*1) + 4.\nAnswer: sqrt(11) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4116\/(-112)*((-3100)\/93)\/25?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-1*(-2)\/(-8))\/((-5)\/20)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 56 - 105 + 49 - 60*r**2 as f + h*r**2 + q*r and give h.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2497?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*u + 3*j - 17 = -25*u, 5*j = 2*u + 22 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -6609.68265 rounded to the nearest 1000?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 790473.\nAnswer: 3, 263491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g - 1. Let a(o) = -3*o. Let p(q) = a(q) + 2*m(q). Let b be p(-3). Calculate the smallest common multiple of 3 and (-2 + b)*(-1 - 1).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o = 3*h - 25, -44*h = -47*h + 3*o + 15 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-3300)\/10725)\/((-4)\/390)\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 83329176 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/((19\/6)\/19). What is the units digit of 1660\/8 - v\/24?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.16 + -0.06. What is the third smallest value in 0, 1\/8, h?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71688402 is divided by 32263.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6995978 is divided by 97166?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 - -16 - 11993\/670. Let r(x) be the first derivative of h*x**2 + 25 - 1\/30*x**6 + 2\/15*x**3 - 2\/25*x**5 + 0*x**4 + 0*x. Solve r(u) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 2462*d - 382. What are the prime factors of o(4)?\nAnswer: 2, 4733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2485 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k + 11. What is the lowest common multiple of 1 and f(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -21197 or -21199?\nAnswer: -21197","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/1764 and 187\/8820.\nAnswer: 8820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 928482.4um to nanometers.\nAnswer: 928482400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 3*j = -7*j, -5*t = -5*j + 15. Let p be (2*1)\/(140\/(-210)). Is t less than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 9*a - 10*a, 5*n = 5*a. Let i(f) = -9*f**3 - 4*f**2 + 9*f + 13. What is the units digit of i(n)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:23 AM and 12:00 PM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:22 PM and 10:51 AM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from ygmukymyy?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (-1 + 3 - 0) + (-15 - -9).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2137 - 8*h - 2358 + 4816)*(-4 + 2 + 3) as y + w*h and give w.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -2, -4, 3 in increasing order.\nAnswer: -4, -2, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in one twentieth of a tonne?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -85708 + 85669.967. Round o to 1 dp.\nAnswer: -38","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -321827, -321829, -321831, -321833, -321835?\n\"Answer: -2*r - 321825","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, 59\/5, 2\/27, 0, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 35*v**2. Let k(u) = -2*u**2 + 21. Let n(l) = -l**2 + 9. Let g(f) = -6*k(f) + 14*n(f). Give g(t(c)).\nAnswer: -2450*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-56)\/(-3))\/((-4)\/(-6)). Let w = 33 - b. Suppose -2*a - 8 = -4*i - 0*i, 3*i = w*a - 8. Let o(p) = p**3 - 2*p**2 - 2*p - 3. Give o(i).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.11 and 0.28854.\nAnswer: 0.3202794","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.063 * -0.2\nAnswer: -0.0126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3 (b) 5 (c) 0 (d) -14 (e) 72\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 897156.5 millennia to decades.\nAnswer: 89715650","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3280 and 925900?\nAnswer: 151847600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -7 + 17. Suppose 2*h + 0*h = p. Suppose 0 = -h*o + o + 20. Solve 10 + o = -3*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3711000 rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2*1\/(4\/22). Let s = 22 - c. Let t = s - 9. Solve -t*w - 4 = -6*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, -3, 4\/33257?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 + -2935b?\nAnswer: -29364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*w**2 - w**3 - 1 + 144*w - 144*w to the form z*w**3 + o + u*w**2 + g*w and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -560799 by -1.\nAnswer: 560799","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/20 + ((-144)\/(-20))\/(-4). Let c be (2\/(-3))\/(a\/12). Let y = 69 - 44. Solve -c*s + t = -y, 3*t = -s - 3 - 7 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**3 + 5*b**2 + 7*b - 4. Let a be h(6). Suppose -o + 8 = 3*o. What is the third derivative of -o*l**2 - a*l**2 + l**4 + l**2 wrt l?\nAnswer: 24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -56, -71, -5 in increasing order.\nAnswer: -71, -56, -5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*((-45)\/(-540))\/((2\/4)\/((-7)\/(-252)))?\nAnswer: -1\/108","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 56460 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 + 1)*(u + u - 3*u) + 4 - 2*u - 4 + (24*u + 37*u + 1 - 86*u)*(-1 + 11 - 8) to the form q + v*u and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 108?\nAnswer: -1\/108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the third derivative of o**4\/4 + 5*o**3\/6 + 3*o**2. What is the derivative of s(t) wrt t?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 5, a: 7}. Give prob of sequence dddd.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 5 = 2*p, -2*p + 2*f - 11 = -5*p. Let z be 16\/5 + 64\/(-20) + p. Solve -2 = -3*l - 2*q + z*q, 4*q + 22 = -2*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -240981 by 167.\nAnswer: -1443","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 5*s = -2*r - 8, -3*s - 10 = -4*r. Let j = r + 3. Factor -4*q**5 - 3*q**4 + 5*q**5 + q**2 + 2*q**j - q**3.\nAnswer: q**2*(q - 1)**2*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v - 11*o + 14*o - 29812, 4*v + 4*o - 59616 = 0. What is the hundreds digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -12 - -4 - -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 544 and 366000?\nAnswer: 12444000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -47 - -51. Suppose 0 = 2*a - 3*a + 1. Suppose -v + a = -f. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (-3 - -6 - 2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-14 - -1)*(2 + -1). Let r be (4 + -3)\/(l\/(-2)). Let v = 3.3 + 0.7. Put r, v, -0.5 in decreasing order.\nAnswer: v, r, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2460 divided by 30?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Do 232485860 and 232485862 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 437, 440, 443, 446?\nAnswer: 449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -10, 61, 132?\n\"Answer: 71*c - 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((6 - 10)\/(-8))\/(1178\/76)*4?\nAnswer: 4\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**3 + 94*j**2 + 207*j + 546. Determine w(96).\nAnswer: 1986","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**2\/3 + 42124*s\/3 - 42122\/3.\nAnswer: -2*(s - 21061)*(s - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 827*i**3 - 2531*i**3 + 841*i**3 + 845*i**3.\nAnswer: -18*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 454 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 4, z: 1, r: 1, u: 1, y: 1, j: 5}. Give prob of picking 2 j, 1 z, and 1 r.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14 + 10. Let p = 0.752 + -0.52. Let v = 0.032 - p. Sort -2, v, r in ascending order.\nAnswer: r, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-35 - 41*p + 35)*(p + 2*p - 4*p) + 2*p**2 - 1 + 1 as d*p**2 + y*p + j and give d.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -4*t + 3. Let u(v) = 9*v - 5. Let a(y) = -2*u(y) - 5*w(y). Calculate a(-6).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + 4 + j + (5 + 1 - 5)*(1 - 1 + 2*j) + 43*j - 26*j - 141*j.\nAnswer: -121*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 19 + -13. Suppose u*m - 129 = 3*m + 3*c, 206 = 5*m - 2*c. Let x = 15 + m. What are the prime factors of x?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 390?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -837427*k**2 - 4*k + 645 wrt k.\nAnswer: -1674854","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 3*d**2 - 5*d - 3. Let r be q(3). Is 42\/r*(-165)\/(-10) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -326111\/12 + 27191. Let w = q + -63\/4. Which is the smallest value? (a) 2 (b) w (c) 3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + 1. Suppose 7*n - l*n = 20. Solve -n*p = -2*p + 12 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18.138 + -1389.138. Which is the second biggest value? (a) -2\/9 (b) 3\/4 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h - 70 + 54. Suppose -5*s + 4*s + 9 = 2*a, h*s + 34 = 2*a. What is the highest common factor of 21 and a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1539) + -2*sqrt(1539)*6)*-6.\nAnswer: 594*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -37977, -37836, -37695, -37554, -37413, -37272?\nAnswer: -37131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67544 is divided by 16884?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24, 49, 74, 99?\nAnswer: 124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 242 - 241.9. Sort -5, q, 18, -1 in increasing order.\nAnswer: -5, -1, q, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*l + 262 = -13*l + 53*c, 5*l = 5*c - 30 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3047*b**5 - 553*b**3 + 34*b**2 + 4*b - 9077 wrt b?\nAnswer: 182820*b**2 - 3318","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 7 = 1. Suppose m = 0, 0 = -w*r + 3*m - 0 + 8. Suppose 4*d = k + 28, 3*k = 5*d + 2*k - 35. Solve -r*x = -d - 1 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2\/5 - 138*i\/5.\nAnswer: -2*i*(i + 69)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 165425 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**2. Let f(c) be the third derivative of 2*c**5\/15 - 140*c**2. Determine f(o(q)).\nAnswer: 8*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -635, -628, -617, -602, -583, -560, -533?\n\"Answer: 2*o**2 + o - 638","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 160 + -159. What is the common denominator of g + -2 + 116\/(-40) and -67\/4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**2 + 7*x - 6. Let l be u(-8). Let k be ((-71)\/(-4))\/(2\/8). Suppose -4*s + k = 7. Solve -4 = y - 2*g - g, 4*y = -l*g - s for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a millennium in centuries?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 99\/1088 and -103\/40.\nAnswer: 5440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/(-15))\/((-266)\/114).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2, 181, -5472 in ascending order.\nAnswer: -5472, 0, 2, 181","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*p = -31*p - 21*p + 770 for p.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.3 and 1.490518?\nAnswer: 1.790518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0161086 rounded to 5 decimal places?\nAnswer: -0.01611","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nt when two letters picked without replacement from ntbnn?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5\/117 + 2\/13. Let j(f) be the third derivative of -h*f**3 - 1\/360*f**6 + 1\/24*f**4 + 2*f**2 + 0 + 0*f + 0*f**5. Suppose j(l) = 0. Calculate l.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -i + 17, 0 = -25*i + 33*i - 56. Solve -a*x - 24 = -4*p, -2*p = -7*p + 20 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.991*4\nAnswer: 11.964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.04251 - -0.24251. Which is the biggest value? (a) m (b) -2 (c) -5 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -119412 divided by -29853.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes before 3:23 PM?\nAnswer: 5:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 d, and 1 s when three letters picked without replacement from ddnsdfddfddnkkkkdff.\nAnswer: 32\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 84393722 and 350?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -8 + 14324024?\nAnswer: 14324016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j + 23. Let m be r(-11). Suppose -4*p = -54 - m. What is the remainder when 85 is divided by p?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2387688 to the nearest integer?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.41 - 2.41. Which is smaller: i or -71?\nAnswer: -71","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6286702?\nAnswer: 2, 17, 184903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**3 - o. Let s(b) = 13*b**3 - 4*b + 13. Let g(r) = s(r) - 4*x(r). Find the first derivative of g(h) wrt h.\nAnswer: 27*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the first derivative of o**4\/4 - o**3 + o**2 - 4*o + 3. Let m be i(3). Suppose m*q - 333 + 75 = 0. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 2*f - 3. Let k(v) = 2*v**2 - 2*v + 6. Let q be k(3). Let t = 20 - q. Give o(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3505138?\nAnswer: 2, 7, 13, 19259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the first derivative of -u - 46 + 29*u**3 + 0*u - 395*u**7 + 410*u**7 - 107. What is the third derivative of s(v) wrt v?\nAnswer: 12600*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 10*v**5 - 50*v**4 + 342*v**3 - 254*v**2. Let s(x) = 3*x**5 - 17*x**4 + 114*x**3 - 85*x**2. Let b(d) = -5*n(d) + 16*s(d). Let b(h) = 0. Calculate h.\nAnswer: -15, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 - 0.13. Let f = 8\/3 - 10\/3. Sort d, f, -3 in increasing order.\nAnswer: -3, f, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -285 + 772. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/n**(-8)*n)\/n*n**(3\/7))**(-28))**30 assuming n is positive.\nAnswer: n**(-7920)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2222002 (base 4) to base 8.\nAnswer: 25202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2090248.\nAnswer: 2, 261281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4228*c - c**3 + 125 + 3*c**4 - c**2 + 2113*c + 2113*c to the form k*c**4 + w + d*c**3 + u*c + r*c**2 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1140 - 211174?\nAnswer: -212334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -17849 (base 12) to base 14\nAnswer: -c597","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (-36 - -31)*1\/(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 169 - 30*a**4 - 340 + 166 wrt a.\nAnswer: -120*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45299589 is divided by 194?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1138901 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -5*d + 3*o, -7*d + 2*d - 2*o = -35. Suppose 0 = 2*i - 4*i + 2. Calculate the greatest common divisor of d and i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 0.9 (b) -2\/197 (c) 2\/11 (d) 53 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (13 + 8 - 7)*(-w + 0 + 0) - 2*w + 5*w - 4*w - w - w + w to d*w + o and give d.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3 - (-1 - 1)) + 36. Suppose -4*x - 2*s + 17 = -v, -s - 51 = -5*x. Let n = x + 11. Calculate the smallest common multiple of n and 4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -18.6858 and -325943.\nAnswer: -325961.6858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the second derivative of 4137*t**3\/2 - 6147*t**2\/2 + t - 2349. Differentiate r(g) wrt g.\nAnswer: 12411","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, 9, 2 in increasing order.\nAnswer: -5, 2, 3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the first derivative of 24 - 2*v + 0*v**4 + 0*v**2 + 0*v**3 + 17\/5*v**5. Differentiate b(y) with respect to y.\nAnswer: 68*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7141?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -17*c - 32. Let o be j(-2). Factor 0*d + 0*d**o + 1\/4*d**3 + 0.\nAnswer: d**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 2*j = 22, 6*j - j = -a - 21. Let d be 2*(-2)\/a*-3. Find the first derivative of -3*i**3 + i**d + 3*i**3 + 2 wrt i.\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2)\/3)\/((-6)\/702). Suppose z - 12 = -17, -4*z = f + 10. Calculate the remainder when p\/(-4)*2\/(-1) is divided by f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -49, -131, -1036 in decreasing order.\nAnswer: -49, -131, -1036","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 3*p**5 - 21*p**4 - 8277*p**3 + 115029*p**2 + 418770*p = 0.\nAnswer: -55, -3, 0, 18, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 92677493 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 12004334 (base 5) to base 14\nAnswer: 2c10d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -38679 (base 11) to base 10\nAnswer: -55383","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 26*c**2 - 1442*c - 120. Give j(56).\nAnswer: 664","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.2+-92.498\nAnswer: -92.298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1\/7)*y**7\/y)\/(y*y*y**7\/y*y*y**(-4)*y) assuming y is positive.\nAnswer: y**(-1\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20619 is divided by 6307?\nAnswer: 1698","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67*g - 80 = 63*g. Suppose -2*p + 2*i = -3*i - 13, 4*p + 2*i = 14. Calculate the highest common factor of g and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 15*(-1 + 266\/10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**2 - 3*i + 2. Let c be z(3). Find the common denominator of 321\/54 - c\/(-9) and (-42)\/16 - 165\/(-66) - 293\/(-24).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -6501, 2, 1, -285\/2, -0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1\/(-1))\/((-16)\/160). Solve h*i = 11*i + 3 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10\/10833 - -1289927\/866640. Find the common denominator of l and 89\/224.\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3750.51um in meters?\nAnswer: 0.00375051","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6518 or 1240\/63?\nAnswer: 6518","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.03 + -0.03. Let s(y) be the third derivative of y**5\/60 + 2*y**2. Let d be s(-1). What is the nearest to 1\/3 in d, -5, t?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 9) to base 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1572833 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence je when two letters picked without replacement from egejj.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*t - 2*t - 9*t + 2*t.\nAnswer: -16*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**3 + 6*a**2 - 3*a.\nAnswer: -3*a*(a - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35 = -2*n - 5*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -20 + 28. Let r be ((-4)\/4)\/(4\/(-56)). Let l = r - 6. Calculate the lowest common multiple of t and l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2a21 (base 13) to base 6.\nAnswer: 44143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 1760 and 449 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**3 + 5*m**2 + 8*m + 12. Let p be d(-4). Let u(f) = -f**3 - 6*f**2 - 9*f - 1. Let g be u(p). Solve 8 = i - 5*o, -i = -g*o - 3 - 1 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 2*a**2 + 8*a + 1. Suppose -3*k - 12 = 3*i, 2*k - 7*k - 3*i = 28. List the prime factors of z(k).\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -23 - 835*v - 299*v + 25 in the form a + s*v and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/21*(-105)\/75\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 838464 and 18832?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1701 divided by -4744\nAnswer: 1701\/4744","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-2\/11)\/d**7*((d\/d**(2\/5))\/d)**5 assuming d is positive.\nAnswer: d**(-101\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10315, 22409, 55227, 119131, 224483?\nAnswer: 381645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*d + 75*d - 54*d.\nAnswer: -16*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 0*i - 47840 = -5*i, -4*i - 47813 = 5*h. Let l = h + -10435. What is l rounded to the nearest 10000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + 9, -48*m = -52*m + 3*x + 3. Solve -2*s + 9 = -s + 3*f, 0 = -m*s - 2*f - 1 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -263? (a) 14 (b) -0.2 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 71263, 142526, 213789, 285052, 356315?\nAnswer: 427578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(304) - (sqrt(304) + sqrt(304)*-4))**2 - (sqrt(133)\/sqrt(7)*-6)**2.\nAnswer: 4180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -55, -130, -265, -466, -739, -1090, -1525?\nAnswer: -2050","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -11615642 (base 7) in base 9?\nAnswer: -1864438","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.9 - 5.3. Let q = 2.7 + u. What is the fourth biggest value in -2, -0.2, q, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -7*r. Let y(u) = 3*u - 3*u + 0*u**2 - 3*u**2. Calculate b(y(p)).\nAnswer: 21*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19625 is divided by 4713.\nAnswer: 773","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44 - h**2 + 8*h**2 + 7*h + 46 - 44.\nAnswer: 7*h**2 + 7*h - 42","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 6*r + 260 = r, -4*j = 2*r - 288. Suppose 0 = -2*t - 5*t + j. Suppose t - 4 = g. Sort 3, -1, g in increasing order.\nAnswer: -1, 3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8906 and 366.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_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: What is 236200752 to the power of 1\/2, to the nearest integer?\nAnswer: 15369","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -94030, -93932, -93874, -93868, -93926, -94060?\nAnswer: -94282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/(-35))\/(63\/(-45)).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1403 and -81734?\nAnswer: 80331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000375 rounded to 6 dps?\nAnswer: 0.000038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -243, -243, -241, -237, -231, -223?\nAnswer: -213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111122 (base 3) to base 16.\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-305823)\/14563 + (-23)\/(-139)*127.\nAnswer: 2\/139","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (17\/(-5) + 3)*-15. Suppose 0 = -c - 2*q - 5, -4*q = -3*c + t*c + 5. Solve -17 = c*k + 8 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 119 smaller than 160824?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 699*b**2 + 68*b - 82. Let o(p) = 233*p**2 + 22*p - 27. Let f(t) = 4*l(t) - 11*o(t). List the prime factors of f(1).\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1*(-7045)\/7590 + (-27)\/((-3105)\/10) and -77\/1416.\nAnswer: 15576","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 1974*r**3 - 24*r**2 + 8*r + 11. Let a(j) = -3949*j**3 + 45*j**2 - 15*j - 21. Calculate -8*a(q) - 15*m(q).\nAnswer: 1982*q**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 248, 2, -1, -230?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*-4*(1 + (1 + -3*(1 + sqrt(171))*3 + 3)**2)*-2.\nAnswer: -444064 - 8640*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**2 + 5*i - 3. Let h(n) = -n**2 - 5*n + 4. Let u(y) = -3*h(y) - 2*x(y). Calculate u(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -43 + (25 - -5 - 15).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 0 = k - 3, -l - 4*k = -1. Let n(r) = -8 + 14*r - 10*r + l. Is 16 a factor of n(11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5489 - 64?\nAnswer: -5553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 32114 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 10 = -4*o - 4, 4 = 4*u + 2*o. What is the closest to -2\/9 in 1\/2, -5, u, -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 7.68982ml?\nAnswer: 0.00768982","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-20)\/45)\/(4\/(-12) + 24\/108). Let z(o) be the first derivative of -o**2\/2 + 5*o + 1. Let u be z(y). Let f(g) = 14*g - 1. Give f(u).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2010202001100 (base 3) to base 8.\nAnswer: 4253643","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1157341925?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 67.99312 millennia?\nAnswer: 67993.12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.416 to 1 decimal place.\nAnswer: 2.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -3230771 rounded to the nearest 1000?\nAnswer: -3231000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 3*c**2 - 7. Let r be (6 + -6)\/(-4) - -3. Calculate m(r).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 600.7422 millilitres to litres.\nAnswer: 0.6007422","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 - -9. Suppose z*s + 36 = 5*s. What is the highest common factor of 162 and s?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(1200)*2)\/sqrt(4))**2.\nAnswer: -160*sqrt(3) + 1216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 982.2527 nanoseconds to milliseconds.\nAnswer: 0.0009822527","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s*s**(-4)*s*s))\/(s\/(s*s**(2\/7)*s))*(s*s\/(s**(-1\/6)\/s)*s)\/(s**2\/s))\/(s**(1\/8)\/s**(1\/6))**27 assuming s is positive.\nAnswer: s**(1273\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -211221120022120 - -2?\nAnswer: -211221120022111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve i**5\/4 + 5*i**4 - 25*i**3 - 20*i**2 + 96*i = 0 for i.\nAnswer: -24, -2, 0, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**3 - 4*a**2 - 3*a. Suppose 5*k = 5*d - 1 + 41, -d - 5*k = -22. Let j be r(d). Solve -2*i + 3*n - 8 = j, 0 = -3*i - 4*n + 5 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-111*z + 94*z + 72*z)*(-z + 4*z - 2*z)*(-5 + 2 + 1).\nAnswer: -110*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 240 by -2.\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 214 = -w, -5*w + 428 = -j - 3*j. Let p be j*(-1 - (0 - 4)). Find the common denominator of (-8)\/(-42)*p\/(-8) and 1\/10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the third derivative of 0*s - 19\/9*s**3 - 77*s**2 + 13\/12*s**4 - 1\/45*s**5 + 0. Factor t(v).\nAnswer: -2*(v - 19)*(2*v - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o**5 + o**5 - 5*o**5 + (4 - 1 - 1)*(o**5 + 13*o**5 - 3*o**5))*(0 - 2 - 2).\nAnswer: -76*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (180\/15*(-1)\/2)\/(-22)?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -44, -28, 0, 46, 116, 216, 352?\nAnswer: 530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -33.53348 (b) -3\/8 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -6*j**2 - 2*j - 5. Let h(d) = -7*d**2 - 2*d - 6. Give -3*h(b) + 4*x(b).\nAnswer: -3*b**2 - 2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 10, 2\/9, -19.16, 0.7?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**4\/2 - 174*h**3 - 7215*h**2\/2 + 88725*h.\nAnswer: -3*h*(h - 14)*(h + 65)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + d = -31, -2*h + 4*d - 23 = 7*d. Put h, -3, -1 in ascending order.\nAnswer: h, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6285067?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 9.1415242 and -3.\nAnswer: -27.4245726","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (19 - (31 - 13)) + 4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.0868901 times 2?\nAnswer: -16.1737802","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most 10\/917433?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**3 - a + 1. Let p(i) = 28*i**3 + 3*i + 4. Let g(l) = -22*l**3 - 2*l - 4. Let c(t) = -5*g(t) - 4*p(t). Give -c(o) + q(o).\nAnswer: 3*o**3 + o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 20*s = -19*s - 3316, -5*s = 4*h - 6638. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 269000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 817*827884\nAnswer: 676381228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 19\/2*l + 21\/10*l**2 - 117\/10 + 1\/10*l**3 = 0.\nAnswer: -13, -9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**3 + 6*n**2 - 6*n + 10. Let z be m(-7). Suppose -z*h + h + 6 = 0. Suppose h*p + 2*p = 30. 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: What is 372 minutes after 5:13 AM?\nAnswer: 11:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 + 2*l**3 + 2*l - 2 + l + 2*l**2 + 5 to the form o*l + h*l**3 + c*l**2 + q and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l**2 + 5*l - 5*l)*(-2*l + 1 + 10*l + 1 + (4 - 1 - 1)*(2 - 2 + l) + 0*l - 4*l + 6*l + 1 - 1 - l).\nAnswer: 22*l**3 + 4*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 592.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -132*n. Let i(x) = -2*x. Let l(g) = 44*i(g) - o(g). Calculate the remainder when l(4) is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1838939 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 358752 is divided by 1220?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -30 - -26. Let v = -3 - -2. Which is the closest to 2? (a) v (b) l (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes after 12:44 AM?\nAnswer: 2:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 46 - 82. Let b be 1115\/(-30) - (3\/(-18) + 0). Let k = z - b. Which is smaller: k or 2\/131?\nAnswer: 2\/131","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*w + 228 = 14*w - 22 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 29 + -25. Let d(i) = -i**3 + 5*i**2 + 3*i - 12. Let r be d(m). Suppose 0 = r*k - 19*k + 10260000. Round k to the nearest 100000.\nAnswer: 3400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 474 and 869.\nAnswer: 5214","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + -16 + (-4 + 10 - (5 + -6)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**8\/u*u\/u**(-2))\/((u\/u**(4\/3))\/u*u\/(u*u*u*(u**(-6)*u)\/u*u)) assuming u is positive.\nAnswer: u**(25\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 40.56 - 40.5. Let r = 0.561 + -0.62065. Let d = m + r. Round d to four dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -17\/1261 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -28*z**5 - 2384*z**4 - 41728*z**3 + 393024*z**2 - 304704*z = 0.\nAnswer: -46, 0, 6\/7, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 6*y - 5. Let p(d) = -4*d - 276. Let w be p(-70). Determine b(w).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 52 and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes after 1:38 AM?\nAnswer: 2:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28418\/(-299) + -6 + 101?\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 916 + -902. Solve -7*q + 6 = -3*h - 6*q, 5*q = -h + m for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.267 - 0.287. Suppose -3 = -3*t - 0, 2*d + 3*t - 9 = 0. Put w, d, 0.3, -0.3 in decreasing order.\nAnswer: d, 0.3, w, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/3? (a) 7.2 (b) 0.19 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2718 + 2775 - (47 + -1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 15139, 30350, 45541, 60712, 75863, 90994, 106105?\n\"Answer: -10*i**2 + 15241*i - 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**2 + 5*l - 2. Let o be b(5). Let j = -8 - o. Find the common denominator of -42\/5 and (-2)\/(-12) - (j - -7).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (10\/8)\/((-3)\/12). Let l be (-32)\/(-56)*9\/(-9). What is the nearest to l in 1\/3, 4\/7, w?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 481528283.\nAnswer: 481528283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**2\/6 + 6820301*y\/6 + 3410150\/3.\nAnswer: (y + 1)*(y + 6820300)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 4*z = 5960 + 7673, -5*p + 22741 = -3*z. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-324)\/(-23) - (-12 + 4448\/368).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from ewywewebeweooywwn.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49010284*w**2 + 49010290*w**2 - 98020568*w**2.\nAnswer: 6*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -629*q**2 - 5*q - 5. Let c(k) = 314*k**2 + 3*k + 3. Calculate 5*c(g) + 3*w(g).\nAnswer: -317*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 915442 - 915362 = 40*a. Suppose -5\/3*b**4 + 5*b**3 + 0 + 15*b**a - 45*b = 0. Calculate b.\nAnswer: -3, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:38 AM and 4:57 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-20)\/6*15\/(-10). What is the remainder when (-632)\/(-40) + 1\/p is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 163780029 to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g*g**(-7))\/g)\/(g**(-2\/23)*g))\/(g\/(g\/(g\/(g*g**(2\/9)\/g))))**14)**(-1\/22) assuming g is positive.\nAnswer: g**(1946\/2277)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 52270, 52693, 53838, 56065, 59734, 65205, 72838, 82993?\n\"Answer: 60*z**3 + z**2 + 52209","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = c - 3*x, 0 = -402*x + 406*x + 4. Determine r, given that 6\/5*r + 3\/5 - 6\/5*r**3 - 3\/5*r**4 + 0*r**c = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 257517 is divided by 2501?\nAnswer: 2415","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -38 + 47. Let h(r) = r**2 + 5*r + 5. Let u be h(-4). What is the lowest common multiple of (0 - (-5 + 0))*u and i?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -2*v. Let o(g) be the second derivative of 0*g**2 + 9*g - 1\/4*g**4 + 0 + 0*g**3. Give x(o(i)).\nAnswer: 6*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, p: 2, a: 6, g: 1, r: 3}. Give prob of sequence ar.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 2*t - 3*t + 11 = 0, -q = 3*t + 7. Let k(v) = 1 - 1 - v**3 + 0*v - 5*v + 2*v**2. Let m(n) = -n**3 + 3*n**2 - 7*n. What is q*m(h) - 7*k(h)?\nAnswer: 2*h**3 + h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11376302, 11376191, 11376080, 11375969, 11375858, 11375747?\nAnswer: 11375636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/24*(10\/(-12))\/((-255)\/476)?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 5*f**2 - f + 2. Let o(u) = 4*u**2 - 6*u + 5. Let q(j) = -3*d(j) + o(j). What is q(1)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 48*a - 43*a. Find the first derivative of 28*o**3 - 52*o**a - 3*o + 0*o + 4*o - 33 wrt o.\nAnswer: -72*o**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 21 - 10. Suppose -1 = 3*y + x. Sort y, -3, -6 in ascending order.\nAnswer: -6, y, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(325) + -4) + sqrt(325) + sqrt(325) + -2 + 5)**2.\nAnswer: -200*sqrt(13) + 5225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -4*w + 2*b - 24, -27 = 4*w - 3*b. Let h be 1*w\/(-6)*-50. What is the least common multiple of 3 and 4\/(-3) - h\/9?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, n: 1, s: 2, c: 1}. Give prob of sequence cs.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, y: 6, o: 2, c: 2}. Give prob of sequence oy.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/10*10\/2. Let q = -1.2 + 4.2. Put q, -5, n in decreasing order.\nAnswer: q, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 14405*w**2 - 86426*w - 11. Calculate f(6).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -12*i**2 - 6*i. Suppose 57*y = -223 - 119. Let f(k) = -k**2 + k. Determine y*f(s) - r(s).\nAnswer: 18*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.37 - -0.03. Let a = 0.4 + 4.6. Sort 0.2, c, a in ascending order.\nAnswer: 0.2, c, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 - -8. Suppose 2*f = 5*s + 412, k*f + 3*f = -5*s - 432. Let y = s + 119. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1179*u**3 + u**2 + 439*u - 10211172?\nAnswer: -3537*u**2 + 2*u + 439","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(2\/69)\/d)**41\/(d\/d**(-3))**(-2\/131) assuming d is positive.\nAnswer: d**(11294\/9039)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**24*w**(-10\/9))**(-11\/3))**(6\/11) assuming w is positive.\nAnswer: w**(-412\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i - 5*u - 23, 3*u = 2*i - 1 - 12. Suppose 0 = 6*c - i*c. Solve x = -c*x + 3 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) 5\/12 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u + 45 - 10 = -k, 155 = -3*u - 14*k for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10000111001000 - 100?\nAnswer: 10000111000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -84*q + 24. Let o be t(2). Which is the biggest value? (a) -3 (b) -2 (c) o (d) -2\/11 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-1*sqrt(847))**2.\nAnswer: 5082","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1740 = 261*q + 72*q - 11397 for q.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1492303 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -5*a**2 + 1930*a + 13755 = 0?\nAnswer: -7, 393","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 732152013?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10\/89 + -129\/356. Which is the fourth smallest value? (a) 2 (b) 0.2 (c) u (d) -48\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*h + 55*h = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 620 a factor of 93092?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does -1 = -6\/131?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/8)\/((-11)\/11).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**3\/13 - 196*y**2\/13 + 4802*y\/13.\nAnswer: 2*y*(y - 49)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -175*o - 16. Let y(m) = -19 - 101*m - 18*m - 104*m + 47*m. Let k(w) = 6*l(w) - 5*y(w). What is the derivative of k(d) wrt d?\nAnswer: -170","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 339*g**2. Let h(k) = 3*k**2. Determine h(i(p)).\nAnswer: 344763*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-96)\/(-56) - 4\/(-14). Let p = -1 - y. What are the prime factors of ((-114)\/p)\/(5 + -3)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**4\/4 - 10607*h**3\/4 + 36453791*h**2\/4 - 40076599537*h\/4.\nAnswer: h*(h - 4127)**2*(h - 2353)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -20704908*b**3*r**2 + 2*b*r**2 + 6434*r**2 - 273*r wrt b?\nAnswer: -62114724*b**2*r**2 + 2*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -100*z**3 - 230*z**2 - 440*z - 175. Let h be (76 - 25) + -7 + 1. Let q(c) = -9*c**3 - 21*c**2 - 40*c - 16. Let w(s) = h*q(s) - 4*t(s). Factor w(i).\nAnswer: -5*(i + 1)*(i + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -31223 + -4?\nAnswer: -31232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**3\/4 + 30738447*y**2\/4 - 15369223*y\/2.\nAnswer: -y*(y - 30738446)*(y - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 739 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4208409?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2771392.29948 + -2765976. Let q = j + -5418. Let d = -1.7 - q. Round d to four dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2089*n = 2*o + 4169*n - 2084*n, -4*o - 4*n - 36 = 0 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n + 1. Let d(a) = -12*a - 26. Let h(b) = -4*b - 9. Let r(y) = 6*d(y) - 17*h(y). Determine 3*i(w) + r(w).\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 115 and 534865.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -22 + 3124421112?\nAnswer: 3124421040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, b: 3, z: 2, t: 2, o: 2, g: 4}. What is prob of sequence po?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -50996, -50997, -50998, -50999, -51000, -51001?\nAnswer: -51002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2898 - 0.07\nAnswer: 2897.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 4 + 1)*(a - 3*a + a) + 64*a + 127*a + 57*a + 122*a to the form f + p*a and give p.\nAnswer: 368","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 35 = 5*p, 2*p + 3*d - 8 - 15 = 0. Let a(l) = -2*l**2 + 8*l + 1. Let y(h) = -h**2 + 4*h. Let q(z) = 4*a(z) - 9*y(z). Calculate q(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((0 - 4 + 2)*(0 + 2 - 4) + 3 + 3 - 3)*(49*b**3 - 8*b**3 + 6*b**3) in the form p + n*b**3 + w*b + k*b**2 and give n.\nAnswer: 329","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1240, 2, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**2 - 157*n - 3805. Give w(-30).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-41)\/2583)\/((-8)\/(-36))?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 - (-3 + -1 + 5))*-13. Calculate the highest common divisor of w and 273.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxxxxpxppxxxxxxxxxx. Give prob of picking 3 x.\nAnswer: 34\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, -49, 5 in decreasing order.\nAnswer: 5, -1\/3, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -2*t. Let w(i) = 3*i. Let x(y) = 5*c(y) + 3*w(y). Suppose 4*a - 7 = -5*s, -4*s = -47*a + 48*a - 10. Give x(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1059*q + 534*q + 554*q - 2 to the form u*q + i and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*z - 2*z + 5*f + 18, 5*z + 2*f = 16. Let b be (-22)\/7 + z + (2 - 3). Put b, 3\/5, 0.1 in ascending order.\nAnswer: b, 0.1, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**2 + 54*q - 26. Is 17 a factor of x(40)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 3 + -3 + -3 + 3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in ten thirds of a century?\nAnswer: 4000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 474*y**3 - 21*y**2 + 24*y - 25. Let i be r(-25). Round i to the nearest one million.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 136005254 to the power of 1\/6, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 152 - 12 = 5*s. Let g be (s - -2)\/(7\/14). Suppose 0 = -8*v + 2*v + g. What is the greatest common divisor of 5 and v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 5*v = -0*v + 49, 85 = 5*n - 5*v. Let t = 627 - 617. Which is smaller: n or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 24420 and 67980?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -7425*i - 56 - 2*i**2 + 3699*i + 3697*i. What is w(-12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -7, 10, -9, -8, 3\/5?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the third derivative of b**7\/1260 - b**5\/30 - 2*b**2. Let q(c) be the third derivative of t(c). Let s(w) = -2*w**2. What is s(q(v))?\nAnswer: -32*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -11*k - 2. Let j = 116 - 26. Let f = -57 + j. What is the remainder when f is divided by q(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**2 - 3*p + 3. Let b(v) = v + 11. Let h be b(-8). Suppose 0 = -h*n - 3 - 3. Let s be (-2 - n) + (-4)\/(-2). Determine u(s).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1628979?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 11*r**2. Let t(g) be the first derivative of g**2\/2 - 9. Give f(t(d)).\nAnswer: 11*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 1112 - 4*j**3 - 13*j**2 - j - 1092 + 3*j**3. What is the units digit of u(-13)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**3 - 19*l**2 - 63*l - 29. Give n(-4).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -9 - 15*r - 27*r - 16*r - 6*r + 44*r. Let l(q) = -9*q - 4. Let d(b) = 4*h(b) - 9*l(b). Let t(j) = -j - 4. What is -3*d(o) - t(o)?\nAnswer: -2*o + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 5 + 29 = 0. Calculate the highest common divisor of 2 and u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -41913\/4 - -8926013\/852. Let f = p - -3\/71. Find the common denominator of -67\/18 and f.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3933165?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 427, 827, 1227, 1627, 2027, 2427?\n\"Answer: 400*q + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 839*c**3 - 162*c**3 + 523*c**3 - 550*c**3 + 601*c**3.\nAnswer: 1251*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -4695402, -18781592, -42258576, -75126354?\n\"Answer: -4695397*a**2 + a - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 12676 to the power of 1\/2, to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qb when two letters picked without replacement from {b: 3, e: 6, i: 4, j: 3, t: 2, q: 1}.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7186.542 weeks to minutes.\nAnswer: 72440343.36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 65887*g**3 - 9*g**2 - 63*g - 27. Let c(j) = -16472*j**3 + 2*j**2 + 14*j + 6. What is 9*c(n) + 2*u(n)?\nAnswer: -16474*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*r = 31*r + 16. Which is bigger: r or 2\/3881?\nAnswer: 2\/3881","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - 5*y + 10. Suppose y*k = 7*k. Suppose 5*r - 167 = -3*z - 16, k = 3*z - 2*r - 116. Is z != 42?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -254 by 3.\nAnswer: -254\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*b**2 - 80*b - 75.\nAnswer: -5*(b + 1)*(b + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(-8))\/((b\/(b\/b**(1\/2)))\/b))\/(b\/b**(-2))**(-2)*((b\/b**0)**(-23\/4))**(2\/11) assuming b is positive.\nAnswer: b**(-17\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.283 + 1.717. Let t = -0.58 - -0.58. Put t, r, -0.4, 0.3 in descending order.\nAnswer: r, 0.3, t, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 2*v = 6. Suppose -v*a + 355975 = 4*u - 8*a, 3*u - 266985 = 3*a. Round u to the nearest 10000.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.07, -2\/3, -5\/2, -24?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes after 10:26 AM?\nAnswer: 2:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.1 and 4.055.\nAnswer: 4.155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8546.\nAnswer: 2, 4273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 11*i + 8. Let l(u) = -2*u + 1. Let h be l(-3). Let c be r(h). Suppose 4*f + c = 9*f. Is f a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1938 + 1289. Let p = 955 + v. Is p a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/(b\/(b\/(b\/(b\/(b*b**6*b)))))*(b*b**41)\/b assuming b is positive.\nAnswer: b**34","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 9, f: 3}. What is prob of picking 1 f and 1 h?\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**2 + 9*l - 1. Let t be (99\/(-11))\/(3\/(-2)). Calculate n(t).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**3 - 10*w**2 + 5*w - 11. Let y be (-129)\/(-12) - 9\/12. Let v be n(y). Let b be 84\/v + 4\/(-26). What is the highest common factor of 5 and b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 72 = 3*d, 2*j + 2*j - 116 = d. What is the greatest common factor of 12 and j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -56, -101, -146, -191, -236, -281?\n\"Answer: -45*j - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 152.30755 - 0.17755. Let h = d + -151. What is h rounded to one dp?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 - 2*v + 0*v - 2*v + 0*v + (-2 + 0 + 1)*(-3*v - v + 6*v) - 57*v + 443*v - 217*v.\nAnswer: 163*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1408317602329*m**4\/3 + 7041211086602*m**3\/3 - 628197196*m**2 + 168134*m\/3 - 5\/3.\nAnswer: (m + 5)*(11209*m - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**3 - 10*s**2 + 11*s - 8. Let f = 235836 - 235778. Calculate the remainder when f is divided by v(9).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 + -2.5. Let v = 0.078 - 0.078. What is the closest to -0.4 in 4\/5, x, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 454582 and 64.\nAnswer: 14546624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -4, 5, -0.1, -0.8?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/3 (b) -0.8 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**2 - 4*b + 3. Let z be g(3). Solve c - 3*c = z for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 417 divided by 77608.\nAnswer: 417\/77608","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 10) to base 15.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -80, -17, 11 in descending order.\nAnswer: 11, -17, -80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -145065133*g**4 - 92*g + 60823 wrt g?\nAnswer: -1740781596*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 123 - 66. Let x = g - 22. Is x a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 155 - q**2 - 155. Let a(l) = 32*l**2 - 13*l. Let j(m) = 16*m**2 - 6*m. Let u(b) = -6*a(b) + 13*j(b). Give i(u(f)).\nAnswer: -256*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 847493779.\nAnswer: 11, 31, 2485319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r + 1. Let m be -3*2\/4*2. Calculate the remainder when 5 + -2 + 0 - m is divided by n(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 224*c = 239*c - 25890. List the prime factors of c.\nAnswer: 2, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -2*j**3 + 14*j**2 - 5*j - 9. Let d be g(8). Let h = d - -174. Let b(o) = -5*o - 7. Calculate b(h).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/2 and 15\/608?\nAnswer: 608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-57)\/76*(-12)\/18*18\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do 157174 and 4558016\/29 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**3 - 2*k**2 + k. Let i be m(2). What is the second derivative of 10*t + 3171*t**i - 2943*t**2 - 11 - 2*t wrt t?\nAnswer: 456","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the first derivative of -64 - 7\/9*z**3 + 20\/3*z**2 - 44\/3*z - 1\/12*z**4. Suppose b(x) = 0. Calculate x.\nAnswer: -11, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 26 + -18. Let k be x\/36 + 32\/18. Suppose 0 = z + q - 17 - 5, -5*z + k*q = -117. Is z a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 145 = -169. Let m(t) = t**2 - 6*t - 13. Calculate the least common multiple of m(y) and 44.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11590542?\nAnswer: 2, 3, 643919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 + (-3 - 0))*(-6 + -2). Suppose -10*k = -6*k - h, -4*t - 2*k = -16. Which is the third smallest value? (a) 1 (b) 0.2 (c) 29 (d) t\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 (base 13) in base 16?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1686785 + 12?\nAnswer: -1686773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3160147*f**5 - 1973*f**2 - 22*f - 205 wrt f?\nAnswer: -189608820*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 + 13. Suppose 61 = -7*m + 390. Let r = m - 47. Solve -2*d + 5 + u = r for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-30*w - 14 - 13*w + 40*w)*(-w - 3 + 3) - w**2 + 0*w**2 - w**2.\nAnswer: w**2 + 14*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -1843*d + 4. Is a(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/9)\/(11\/18).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**2 + 2. Let v(a) = 5 - 6 - 2 + a**2. Let c(y) = -3*o(y) - 2*v(y). Let m(t) = 55*t. Calculate m(c(k)).\nAnswer: 55*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(4 + -2 + (sqrt(24)\/(sqrt(16)\/sqrt(2) + sqrt(8)) + sqrt(3) - (sqrt(3) + -5*(sqrt(3) + -1)))*-6).\nAnswer: -99*sqrt(3) + 96","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 15) to base 12.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 25*z - 4618. Calculate x(185).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5901544 to the nearest integer?\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3211 is divided by 31.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 152 + -15. What are the prime factors of f?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 5, g: 3, z: 2, o: 1, r: 6}. What is prob of sequence rddo?\nAnswer: 1\/476","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3186 divided by 1.\nAnswer: 3186","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -154 in 2\/15, 0.17, -0.13?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*s**2 - s + 3*s**4 + 8*s**2 - 20*s**2 to the form i + l*s**2 + j*s + q*s**4 + g*s**3 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6549 and 33.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 2\/3 (b) 5.591 (c) 5\/24 (d) 0.19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 21747 - 21739.1396. What is c rounded to 2 decimal places?\nAnswer: 7.86","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 42498, 42511, 42532, 42561, 42598, 42643?\n\"Answer: 4*d**2 + d + 42493","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 584455646 to the nearest integer?\nAnswer: 836","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101101000110001000010 - -111101?\nAnswer: -1101101000110000000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 36978947 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-36)*s*s**(-27)*(s\/(s*s**(12\/7)*s*s))**(-17) assuming s is positive.\nAnswer: s**(8\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j + 71 - 471 = 0. What is the lowest common multiple of 9 and j?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4751 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the third derivative of 0*u**4 + 0 + 0*u**3 + 0*u - 1\/30*u**5 - 2*u**2. Let d(i) be the first derivative of -3*i**2\/2 - 1. Calculate d(o(h)).\nAnswer: 6*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**3 + 14*x**2 - 32*x - 15. Is b(8) a multiple of 103?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -47656, -47650, -47648, -47656, -47680, -47726?\nAnswer: -47800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5\/342 + 12961\/2394. Let h = -1039\/145 + -117\/29. Calculate the common denominator of h and f.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from ijj?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3448 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -3*d**2 - 18*d - 91. What is y(-17)?\nAnswer: -652","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 149*m - 290. Let d(z) = 6*z**2. Give r(d(i)).\nAnswer: 894*i**2 - 290","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 14*y. Let i be w(1). Let d = -499 - -720. Let o = d - 95. Calculate the greatest common divisor of o and i.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 2*q + 5, -33 = -2*b - 5*q. Let w(z) = 47*z - 47. Let s(i) = 47*i - 40. Let p(a) = 7*s(a) - 6*w(a). What is the tens digit of p(b)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97 is divided by 50?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1739788 a multiple of 747?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**2 + 10*j + 24. Let v be q(12). Suppose 0 = 4*h + 5*u - 30, -3*u + 1 = -h - 0. Solve -h*o + 0*o = v for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vg when two letters picked without replacement from {v: 1, r: 2, g: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a day in seconds?\nAnswer: 20736","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(162) + (sqrt(162) + 2 + sqrt(162))*1.\nAnswer: 2 + 27*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 9 = -5*b. Find the third derivative of 3*h**b - 2*h**3 - 5*h**2 + 3*h**2 wrt h.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1977 - 492 - 807 = 182*q for q.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 57609, 57389, 57169, 56949?\nAnswer: 56729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -22858\/2709 + -2\/301. What is the common denominator of -13\/51 and s?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2\/5*x**2 + 13228\/5*x - 21872498\/5 = 0. What is x?\nAnswer: 3307","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q**5 - 5*q**4 - 45*q**3 + 5*q**2 + 100*q + 60 = 0.\nAnswer: -2, -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*b**6 + 252*b**5 + 12*b**2 - 3*b?\nAnswer: 720*b**3 + 15120*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*m**2 - 1 + 1 - 36*m**2.\nAnswer: -41*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/1 - (-10 - -10). Suppose -c = s*x - 45, c - 4*x = -x + 35. Does 15 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes before 1:43 AM?\nAnswer: 7:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 984*w**2 - 677. Let d(v) = -983*v**2 + 679. Let u(p) = 8*d(p) + 7*h(p). What is the derivative of u(s) wrt s?\nAnswer: -1952*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -348 by -348.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -1, 48, -5\/97, -0.2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 51359 and 89320.\nAnswer: 2054360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (7\/14*-4)\/(-2)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25818 is divided by 1842?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.547 rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11528480?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 74260850?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 + 5. Suppose -7 - 11 = 3*b + 5*k, 0 = 4*k + 12. Let a be ((-9)\/15)\/3 - b. Put 4, c, a in ascending order.\nAnswer: a, 4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -10*t**3 - 650*t**2 + 2*t + 65. Determine r(-65).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/12176943 and 48\/44648791?\nAnswer: 133946373","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2447121.\nAnswer: 3, 239, 3413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 81\/(-4) + (-2)\/(-8). Suppose 0 = j - 4, 2*f + 3*j + 296 = 5*j. Calculate the remainder when 25 is divided by 8\/b + f\/(-10).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 19864 - 595861\/30. Let v be (-345328)\/12*1\/(-18). Let a = 1601 - v. Find the common denominator of z and a.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (12\/3 - (3 + -2))*1. Let h(i) = -2*i**2 + 3*i**2 - 5*i**2 + c*i**2. Let t(o) = -o**2. Give h(t(z)).\nAnswer: -z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 60.8 + -56.8. Sort m, 0, -11, -2 in decreasing order.\nAnswer: m, 0, -2, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -520*r - 20486. What is l(-38)?\nAnswer: -726","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2417 + 7888. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 27\/338 and -115\/156?\nAnswer: 2028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0311 * 93069.\nAnswer: 2894.4459","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 726 + 1810 = 57*m - 1682. Calculate the remainder when 544 is divided by m.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -103\/5, 1\/3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -62*t + 191. Let g be v(21). Suppose 8*k - 3*k = 95. Calculate the remainder when (-2 + g\/(-44))\/((-6)\/(-8)) is divided by k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1241, 9885, 33347, 79037, 154365, 266741, 423575, 632277?\n\"Answer: 1235*b**3 - b**2 + 2*b + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -47028, -94069, -141110, -188151?\nAnswer: -235192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (16335\/(-20))\/(-11) + (-279)\/(-372). Solve i*z = 90*z + 15 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5)\/(-6) + -1*150\/72. What is the closest to 1 in 2, -0.3, u?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5078, 10175, 15294, 20435?\nAnswer: 25598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**2 - 29*l - 15. Suppose 0 = -p + 2*q - 15 + 9, 0 = p - 5*q - 6. Let b be f(p). Round b to the nearest 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 56.595 + -58. Let b = -1.404161 - u. What is b rounded to 4 decimal places?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Put 1.34, -4, 0, 4, 0.1 in descending order.\nAnswer: 4, 1.34, 0.1, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**2 - 52*y - 1411. What is the remainder when 255 is divided by p(72)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 4*v - 22 - 14, 4 = -v - 2*j. Calculate the least common multiple of 4 and v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 3\/5 (b) -2\/9 (c) -0.3 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -93 + 92.963. Let a = o - -25.037. Let f = -25.03 + a. What is f rounded to 1 decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5202 divided by -17.\nAnswer: 306","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 252 a factor of 2111760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 6*u - 6 = 0. Let b be 1 + -7 - u - -11. Suppose 0 = -k - 3*a, 3*k - 2*a = 17 + 16. Which is smaller: k or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -70700293 divided by 1.\nAnswer: -70700293","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/8 or 14022179?\nAnswer: 14022179","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 + 1. Let w = 0 - z. Suppose -m + 2 + 3 = w. Does 2 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and -49?\nAnswer: 24.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times 142?\nAnswer: -56.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00005071449105 rounded to 6 dps?\nAnswer: 0.000051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10 + 15. Suppose -4*c = -3*y, u*y = 2*c - 1 + 15. Let t(q) = q**2 - 3*q - 3. Let z be t(c). Let o(r) = 2*r + 4. Determine o(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*x**4 + 206453*x**3 + 53434*x**2 + 2*x wrt x?\nAnswer: 144*x + 1238718","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 2*i**2 - 5*i - 6. Let x be s(-1). Let o = 39 + -119\/3. Which is the nearest to x? (a) 3 (b) -2 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 73090000 to the nearest one million.\nAnswer: 73000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 4*f - 6. Suppose 0 = 23*t - 11*t - 60. Solve t*r - 5*a = -45, -r + f*a = 7*a - 16 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the first derivative of -l**5 - 5*l**4 + l**3 - 11*l**3 + 24 - 5*l - 10*l**2 - 1 + 0*l**5. Factor u(h).\nAnswer: -5*(h + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-5))**50)**(1\/62) assuming v is positive.\nAnswer: v**(-125\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 1, -6 in increasing order.\nAnswer: -6, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 15? (a) -5 (b) 4 (c) -1 (d) 10993\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((2\/(-6))\/((-3)\/(-27)))\/(-4).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 2\/961, -1\/4, 679, -1?\nAnswer: 2\/961","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 668*d**3*f**3 - 3*d**3*s**2 - 4*d**2*f**2*s**2 - 2*d**2*f*s**3 + 44921*d*f**3*s**3 + 250*d*f**2*s**2 - d*s + 1921*f*s**2 wrt f?\nAnswer: 4008*d**3 + 269526*d*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/(-5)*(-10)\/(-6). Let m be (-2)\/(-3) + 22\/(-24). Let r be 13\/((-117)\/(-18)) - (5 - 1). Sort m, r, l in increasing order.\nAnswer: r, m, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -95008417, -95008416, -95008415, -95008414?\n\"Answer: c - 95008418","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = a - 6, a - 2*s - 2 = 2*a. Suppose 4*v = a*v + 130. Suppose -4*y = y - v. Solve z - 3*g + 5 = y, -3 = g for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40161139 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**2 + o - 40. Let n be 6\/(-7)*(-679)\/97. Let f be b(n). Sort f, 1, -10, -2 in ascending order.\nAnswer: -10, -2, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 213 and 142.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 2*n**3 - 14*n**2 + 60*n - 604. Give g(8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -f + 8, 78*b - 80*b + 49 = 3*f. Calculate the remainder when 3260 is divided by f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20514 divided by -82?\nAnswer: 10257\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.087 times 0.08?\nAnswer: -0.08696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3.68894l?\nAnswer: 3688.94","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 59 - 99. Suppose j = -q - 5, -q = -j - 4*q - 5. Let a be (3\/j)\/(8\/f). Sort 4, -2, a, -1.\nAnswer: -2, -1, a, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oxjilifl. Give prob of picking 2 l, 1 o, and 1 i.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) -4 (c) -0.066 (d) -1\/10 (e) -1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -42 in 16, 0.04, 1, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(6\/8*(-136)\/(-102))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5, 8, -2, -4985.\nAnswer: -4985, -2, 3, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -9*d**2 + 415 - 13*d**3 + 2*d + 14*d**3 - 396. Calculate q(9).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the third derivative of -k**7\/1820 - k**6\/585 + k**5\/780 - 11*k**4\/12 - 4*k**2. Let v(q) be the second derivative of x(q). Factor v(u).\nAnswer: -2*(u + 1)*(9*u - 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n**4\/2 + 30*n**3 + 57*n**2\/2 = 0.\nAnswer: -19, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -33339.\nAnswer: -5\/33339","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 = -5*h + 70. Suppose h = 4*v - 51 - 13. What is the greatest common factor of v and 72?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -111321302113 (base 4) in base 7?\nAnswer: -66542464","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**2 + 5*s - 7. Let q(g) = 3*g**2 - 16*g + 20. Let r(u) = 3*q(u) + 8*z(u). Let a = -23 + 31. Let i be r(a). Solve -3*m = -7*m - i for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 78 and 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 18*f - 7. Let j(q) = 73*q - 31. Let n(b) = -2*j(b) + 9*k(b). Let w(d) = 3*d. Calculate n(w(t)).\nAnswer: 48*t - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -6, 1, -3, -33, 0, 25 in descending order.\nAnswer: 25, 1, 0, -3, -5, -6, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 981577 to the nearest integer?\nAnswer: 991","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 41977.77 grams in tonnes?\nAnswer: 0.04197777","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1213814 - -1213938.9854. Let k = d - 125. What is k rounded to 3 dps?\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 170 or 166?\nAnswer: 166","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*p + 8 = 57*p. Solve -7*c - 22 = -p for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1364 is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6.76931 - -6.9293222. Let w = 11.16 - 11. Let v = w - q. Round v to 6 dps.\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 130193, 130177, 130161, 130145?\n\"Answer: -16*i + 130209","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-132)\/(-30) - 9\/(-15). Suppose -5*s = -0*s + 4*u - 185, -i*s + 160 = -u. List the prime factors of s.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83*f - 177*f + 96*f + 58 = 0 for f.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 4*s**2. Suppose 0*g = g - 4. Suppose -3*o - 8 = 15*o - 188. Suppose -o = 3*a + g*f, -8 = 2*a - 0*f + 4*f. Let w(j) = 9*j**2. Give a*w(x) + 5*u(x).\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -328.2 + 328. Let r = 1 - 0.9. Let k = 0.4 - 0.8. What is the smallest value in k, r, x?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w + 3 - 3)*(2 - w - 2) + w**2 - 2*w**2 + 3*w**2 - 3*w**2 + 2*w**2 - 4*w**2 + (w - 4 + 4)*(-w - w + 0*w).\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1110000 - -100101001?\nAnswer: 110011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 432058411 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13851 and 285.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -160486 (base 9) in base 6?\nAnswer: -2041253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, n: 3, p: 2, t: 2}. Give prob of picking 2 p and 1 n.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 647 + 22664?\nAnswer: 23533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -461 divided by -13.\nAnswer: 461\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = -4*y + 16. Suppose 0 = -y*g + 35 + 45. Calculate the lowest common multiple of g and 6.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2474402 and 1372.\nAnswer: 686","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 2*i. Let u(k) = -7*k**2 + 4*k - 4. Let f(m) = 21*m**2 - 11*m + 11. Let g(z) = -4*f(z) - 11*u(z). Calculate b(g(a)).\nAnswer: -14*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from {o: 1, v: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 89589?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*l**3 + 82*l + 18*l**3 - 82*l.\nAnswer: 20*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 + -469. Let s = v + 468. Put -3, 0.1, s, -2\/203 in increasing order.\nAnswer: -3, -2\/203, 0.1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9792 + -9789. Sort l, 1, -17, 2, 0 in decreasing order.\nAnswer: l, 2, 1, 0, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 496 divide 289787?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 14442281 - -4?\nAnswer: 14442285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.1545 rounded to 2 decimal places?\nAnswer: 2.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000224 (base 5) in base 13?\nAnswer: 71ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(36)\/sqrt(2) + -4.\nAnswer: -4 + 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 - (-9 + 5 + 5)) + -8?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*3*sqrt(208).\nAnswer: -24*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 2*x**3 + 6. Determine y(-3).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 15 + 16 = 0. Calculate the remainder when 7 is divided by (m + 0)*(1 - 4).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z**4 + z**4 + 0*z**4)*(0 - 4 + 9)*(-3*z + 10*z + z).\nAnswer: -40*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000030703 to six dps.\nAnswer: -0.000031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.5, -1\/6, -3, -14\/9?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5 + i**4 - 5 - 2*i**4 + 0*i**3 + 0*i**3 + (-2*i**3 + i - i)*(1 + i - 1) - i + i - 2*i**4 + 12*i**4 - 352*i - 22 + 351*i - 45.\nAnswer: 7*i**4 - i - 67","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 230243 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the first derivative of -2*u**3\/57 + 7*u**2\/19 - 24*u\/19 + 123. Factor t(q).\nAnswer: -2*(q - 4)*(q - 3)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**3 - 2*u**2 - 37*u + 38. Let c be r(1). Solve c = t - 2*p - 7, -t + 2*p + 19 = -3*p for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -5*n**2 - 2*n**2 + 9*n**2 - 5*n**2. Let o(r) = -3 + 3 - 2*r. Calculate b(o(m)).\nAnswer: -12*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 - 1. Let j(u) be the second derivative of u**3\/2 - 6*u**2 + 17*u. Let o be j(4). Put -1, n, o in descending order.\nAnswer: n, o, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -72.1 - -72. Let p be ((-57)\/190)\/(6\/8). What is the biggest value in b, p, -16?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 4\/7 (b) -286039 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*z - 8*z - 2*h, -3 = 3*h. Let k(a) = 11*a + 1. Let r(y) = 30*y + 3. Let u(n) = -11*k(n) + 4*r(n). Let b(v) = -4*v + 3. Determine z*b(s) - 6*u(s).\nAnswer: 2*s - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 66 - 56 - (-2 + -6 + 13 + 7) - -8.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 188\/5 in 44, -22, 4?\nAnswer: 44","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 606042 (base 7) to base 14.\nAnswer: 29722","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.6 + -0.3. Let m = -25 + 25.11. Let i = m - 0.21. Which is the nearest to i? (a) 5 (b) -3 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 2*s - s - 20 = 0, -2*b + 5*s = 12. Solve b*u + 4*g + 0 - 4 = 0, -3*u = -g + 13 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**2 + 1. Let k(u) = -62*u**2 - 14*u + 9. Let z(l) = -k(l) + 6*v(l). What is the second derivative of z(b) wrt b?\nAnswer: 112","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 - 2.7. Let h(x) = 67*x + 385. Let g be h(-6). Sort 0.4, c, g in ascending order.\nAnswer: g, c, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3325, -8097, -12873, -17653?\nAnswer: -22437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14816153 = -19*v - 5692068. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/4398 and 20\/3063717.\nAnswer: 4491409122","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*b**2*j**3*u + 19661*b**2*j**2*u**2 - b**2*j*u**3 + 3236*j**3*u**3 + 2*j**2*u**3 wrt j?\nAnswer: 12*b**2*u + 19416*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*z**2 - 27*z + 27*z)*((-z**3 - z + z)*(0 + 0 + 2 + (4 - 3 + 0)*(3 + 0 - 4)) + 3*z**2 - 2*z**2 + 4*z**2 + 3*z**3).\nAnswer: -14*z**5 - 35*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 19959 (base 10) in base 16?\nAnswer: 4df7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 z when two letters picked without replacement from {z: 2, x: 1, c: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 - 12. Let o = t - -9. Let j = -0.2 + -0.3. Is j less than or equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -45694, -91130, -136584, -182056?\nAnswer: -227546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 19*7 + 4\/2. Suppose 4*q - q = m. Suppose 2*n - 27 = q. Is n a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 + -7.3. Let b = h + 0.31. What is b rounded to 2 decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/3, 4, 1\/14, -0.1, -1\/2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 38*g**3 + 5*g**2 + 3. Let w(a) = -153*a**3 - 21*a**2 - 14. What is 2*w(z) + 9*x(z)?\nAnswer: 36*z**3 + 3*z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15\/(-55)*290246\/(-4008))\/(2\/8).\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 49093 - 58699 = -4*n, 26940 = -g - n. Let u = 17744 + g. Round u to the nearest one thousand.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes before 11:56 PM?\nAnswer: 3:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -67444000 to the nearest 100000.\nAnswer: -67400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11626\/19 - (-18 - (-1360)\/76) is divided by 150.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(425) + 1*(sqrt(425) + 0) + sqrt(425) + -1*(-5 + sqrt(17) + 1))**2.\nAnswer: 168*sqrt(17) + 3368","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1\/5, 2\/15, -5, -0.25, -5\/681?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**3 + 46*u**2 - 124. Let q be l(46). Let t = q - -131. Solve 13 = 4*z - t for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a kilogram in grams?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 848913?\nAnswer: 3, 13, 21767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-362)\/(-80) - (-25)\/(-200)) + -4\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n + 2. Determine i(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 9, -22.7, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(2 + 4 + (sqrt(99) + sqrt(99) + sqrt(99)*2 + 1 - sqrt(99))))**2.\nAnswer: 4536*sqrt(11) + 33840","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2122 - -2975. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 22 + -18. Suppose -1 - 11 = -p*w. Solve w*f = -5*t - 4, f - t - 12 = -4*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48303 = 10*l - 20617. What is the hundreds digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 + -3. Let k be 1 + (0 + -3 - p). Let y(j) = 13*j - 5. Let l(z) = 7*z - 3. Let x(w) = 5*l(w) - 3*y(w). Determine x(k).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-9)\/(-3))\/(-3) - -149. Let m = y - 78. Let x = 152 + m. Is 37 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y - i - 20 = -6*i, 3*y + 2*i - 7 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 - -20132034?\nAnswer: 20132043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 710186960 rounded to the nearest 1000000?\nAnswer: 710000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 23 - -6672?\nAnswer: 6715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3, 12, 9, -6, -27, -48?\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 169938 is divided by 3852.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*(z\/(z*z*z**17))\/z*z*z)\/z*z*z\/(z*z*z**(-8\/9)*z*z) assuming z is positive.\nAnswer: z**(-163\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(2 + -3*(0 + sqrt(4400)) + (-3 + sqrt(4400) + 0 + sqrt(4400) - sqrt(4400)) + ((2*sqrt(4400) - sqrt(4400)) + -3 - sqrt(4400))))**2.\nAnswer: 1280*sqrt(11) + 70464","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -44 + 45. Let g = -93 + 95. Which is smaller: l or g?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1016*i**2 - 1016*i**2 + 709*i**3 - 721*i**3 - i.\nAnswer: -12*i**3 - i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add together 134103 and 119463738.\nAnswer: 119597841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 25820313?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -9522 to the nearest 100.\nAnswer: -9500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 6 - (-104 - -114).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -536*z + 10781. Determine i(20).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8458*f - 8225*f + 16683*f - 46*f**2.\nAnswer: -46*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 89 - 86.94. Let k = -0.06 + f. Let y be 3\/((-9)\/(-3)) - -4. Put -0.1, y, k in ascending order.\nAnswer: -0.1, k, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 3*j**2. Let m = 35 - 50. Let q be (6\/2)\/(m\/(-10)). Let z(g) = q*g - g + g + g. Determine v(z(t)).\nAnswer: 27*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 197*b = 199*b. Suppose -31*w + 33*w - 4 = b. Solve -3*r + 4*j - 3 = -j, -w*r - j + 11 = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*z + 39 - 183 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 54, 97, 126, 135, 118, 69, -18, -149?\nAnswer: -330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 3 = -3. Which is greater: x or 5\/7?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*c**3 + 2*c**3 + 14*c**3.\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 100272987?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**21)**(-10\/17))**48 assuming k is positive.\nAnswer: k**(9600\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 57 and 1707.\nAnswer: 32433","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.5 minus -0.0317?\nAnswer: -14.4683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t + 1 + 11. Let l = 371 - 335. What is the least common multiple of l and t?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + -2 + 4 + 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 967.2 + -968. Sort 0.3, p, -3.\nAnswer: -3, p, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 936\/((10\/(-15))\/(4\/(-9)))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -14 greater than 131?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*m = -68 + 2 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0, 3, -2.\nAnswer: -2, 0, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 175089*n**4 + 55*n**3 + 28875333*n.\nAnswer: 2101068*n**2 + 330*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/(6\/(-36))*(-4)\/(-18). Let n be 858\/(-6345)*(-3)\/4. Let j = -3\/94 - n. What is the second biggest value in j, s, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3a7b8 (base 14) to base 8.\nAnswer: -431536","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 3 c when four letters picked without replacement from cnncccnnnn.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -15363*o + 919*o - 303324 for o.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**2 - 15*a + 37. Let z be ((-670)\/(-55) - 4\/22) + 0. Let d be i(z). Sort d, 5, -9 in increasing order.\nAnswer: -9, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (91 - -364)\/91*42\/180?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/((25\/(-15))\/(10\/(-6)))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -100*u + 34 + 36*u + 55*u - 32.\nAnswer: -9*u + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 5823294 divided by 6\nAnswer: 970549","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/3 (b) -0.3 (c) 3\/68 (d) -0.5 (e) 2216\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -10*((-12)\/(-10))\/(-3). Find the second derivative of 13*m**3 + q*m - 4*m**3 + 4*m - 4*m wrt m.\nAnswer: 54*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 541769 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92*g - 55*g - 43*g + 1566 = 48*g for g.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -317*h - 5. Let x(c) = -319*c - 6. Calculate -7*w(u) + 6*x(u).\nAnswer: 305*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 15*t - 4. Let q(g) = 7*g - 2. Give 13*q(c) - 6*z(c).\nAnswer: c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + 0.6. Let s be -7 + 92\/12 + 32\/(-39). Let w = -0.4 + 0.3. Which is the closest to w? (a) 0 (b) s (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 20 - 20. Suppose b = -2*o - 4*f - 6, 5*f = -25. Let x(y) = y**2 - 5*y + 6. What is the least common multiple of x(5) and o?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 178092 + 33205. Suppose -146429 = -3*s + 5*p - 357691, 3*s + t = -2*p. Let j = s - -104429. What is j rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 b when two letters picked without replacement from {f: 2, b: 3}?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4050 and 18?\nAnswer: 4050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58611.\nAnswer: 3, 7, 2791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16102 and 2134.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 2 + 10 = 4*c, -2*q + 13 = c. Suppose c*b + 5 = -5*k, 9*k - 25 = 4*k + 5*b. List the prime factors of (-45)\/k*2\/(-3).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2\/5 (b) -20 (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**3 + 1006*s**2 - 6003*s + 20. Determine o(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 350027 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 38*h - 17*h = 0, -6*h - 72 = -2*t for t.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbb when three letters picked without replacement from {b: 15, p: 4}.\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**2 - 2*d + 4. Let i be z(0). Solve p = -i + 1 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5e - -7?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.09803 * 2.\nAnswer: -0.19606","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.62 - -1090?\nAnswer: 1090.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the second derivative of 21*y**5\/20 + y**4\/4 + 5*y**3\/6 + 16*y**2 - 171*y. What is the second derivative of n(p) wrt p?\nAnswer: 126*p + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 264048 = -2866*i + 376 for i.\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7.04 - 6.714. What is s rounded to 1 dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-50760)\/27)\/47*1.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1595, 1672, 1749, 1826, 1903, 1980?\n\"Answer: 77*r + 1518","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**3 + 7*t**2 + 21*t + 59. Let v be n(-5). Solve 4*x = 3*w + 7*x - 27, w + v*x - 21 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 6, v: 10, k: 2, h: 2}. Give prob of sequence vhkk.\nAnswer: 1\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, t: 2, l: 4, c: 1, e: 6, v: 2}. What is prob of sequence bevt?\nAnswer: 1\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 4*m**4\/3 - 696*m**3 + 10336*m**2\/3 + 696*m - 10340\/3 = 0.\nAnswer: -1, 1, 5, 517","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -ccc0 (base 15) in base 2?\nAnswer: -1010100101110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -141418, 4, 1, -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes before 3:13 AM?\nAnswer: 1:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 102707213?\nAnswer: 7, 23, 637933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the first derivative of w**8\/168 + w**5\/15 - 3*w**2\/2 + 2. Let h(q) be the second derivative of v(q). What is the third derivative of h(g) wrt g?\nAnswer: 120*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 601 is divided by 445?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48413*r - 29803*r - 18612*r.\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -3\/4, 2\/5, 3, -505?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the first derivative of w**6\/21 + 2*w**5\/35 - 3*w**4\/14 - 2*w**3\/21 + 2*w**2\/7 + 1. Determine z so that s(z) = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 738427339591.00041 - 738430863305. Let d = r - -3523686. Let n = -28 - d. Round n to 4 decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -535 + 621. Calculate the highest common factor of m and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -111, -223, -335, -447, -559, -671?\n\"Answer: -112*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -3ad38 (base 14) to base 3\nAnswer: -21101021222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3\/77 or 33867?\nAnswer: 33867","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 125720 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.01? (a) 2 (b) 0.2 (c) -4 (d) 15173\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**3 - 8*k**2 + k - 4. Let d be h(-7). Let j = -985 + d. Let g = j + 145. Round g to the nearest one thousand.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, 24, 43, -10 in increasing order.\nAnswer: -10, -3, -1, 24, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 851*x - 25. Let i(z) = 426*z - 9. What is -2*c(m) + 5*i(m)?\nAnswer: 428*m + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -13*f**2. Let w(c) be the first derivative of 2*c**3\/3 - 18. Give z(w(n)).\nAnswer: -52*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-67644)\/(-24) - -1) + 1\/(-4)*2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z - 2. Let t be j(-5). Suppose t*f - 708 = 2*f. Suppose -2*a = -5*p - a + 884, f = 4*p - a. Does 22 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 47488?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1372 + 1371.8. Which is the third biggest value? (a) g (b) 107 (c) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w + 59. Let n be u(0). Suppose -17 = 2*q - n. Suppose 6 = -3*l + q. Solve -2*p - 4*c = -8, c - l = -p + 2*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-145944)\/30*(-15)\/6. Suppose -p = 2*o - 4*o. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 26 + 50601?\nAnswer: 50627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -10*c**2 + 10*c + 6. Let x(f) = -45*f + 9*f + 3*f**2 + 7*f - 2 + 26*f. Calculate -2*v(j) - 7*x(j).\nAnswer: -j**2 + j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 79479 = -2*x + 194133, -3*x + 4*k + 171979 = 0. List the prime factors of x.\nAnswer: 57329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3019?\nAnswer: 3019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 5 = 3*q, q - 3 = -2*s - 0. Let u(m) = -m**3 + 2*m**2 + 2*m - 3. Let y be u(s). What is the smallest value in y, 0, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9546471?\nAnswer: 3, 11, 32143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3976 and 34363?\nAnswer: 19518184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 379704 and 1044186?\nAnswer: 4176744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes after 11:51 PM?\nAnswer: 6:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + 0 + 0 + (190 - 96) + -102?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Convert -165 (base 8) to base 11.\nAnswer: -a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 429\/22 - 2\/(-4). Suppose -3*l = l - x. What is the smallest common multiple of 6 and 2\/(l\/((-25)\/(-5)))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 91 divide 11921?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -3, 30, 115, 276, 537, 922, 1455?\n\"Answer: 4*y**3 + 2*y**2 - y - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -85\/1084402 and 125\/154.\nAnswer: 7590814","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 + 15. Calculate the remainder when 70 is divided by y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 90 and 792.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*d - 27*d + 7680 = 0. List the prime factors of d.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 2*g**2 + 41*g + 124. Determine n(-18).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:34 AM and 9:32 AM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h**3 - 4*h**2 + 4*h**2 + h**2 + 2*h**3 - h**2 + (2*h - 2*h + h)*(-h**2 - h + h) + 0*h**3 - 3*h**3 + 0*h**3.\nAnswer: -3*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*y + 101 + 39. Suppose 0 = 4*t + y, 2*f + 2*t = -2*t + 396. Is f a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (31 - 31 + 148*h)*(-31*h - 4*h - 45*h) in the form v*h**2 + k + b*h and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*w + 3*w + 2*w)*(2*w - 3*w - w) - w**2 + 4 - 4 + w**2 - 4*w**2 + 7*w**2.\nAnswer: -23*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -119*g + 60245 = -93146. What is the tens digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a litre in millilitres?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1357202.404 + 0.5?\nAnswer: 1357202.904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14737077?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 184 - 3865\/21. Which is the biggest value? (a) 0.2 (b) -1\/3 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 51 - 49. Let l(q) be the third derivative of 0*q**4 + 0*q**3 + 0*q + 0*q**5 + 0 + 3*q**t - 1\/420*q**6. Factor l(o).\nAnswer: -2*o**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes before 5:09 PM?\nAnswer: 6:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6.42 + 6.52. Which is the nearest to n? (a) -0.3 (b) 0.2 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.55 - -21.45. Let z = j - 24.3. Let w = z + 7.3. What is the smallest value in w, 3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times -0.099?\nAnswer: -0.0495","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the third derivative of 0*c**6 + c**5 + 0*c + 0*c**3 + 0 + 0*c**7 + 0*c**4 - 97\/336*c**8 + 119*c**2. Find the third derivative of r(a) wrt a.\nAnswer: -5820*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5138 is divided by 4734.\nAnswer: 404","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffff when four letters picked without replacement from fffffff.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4*c**2*q + 6*c**2*r**2 + 201980*c*q + 86*q*r**2 + 5268*q*r wrt c?\nAnswer: -8*c*q + 12*c*r**2 + 201980*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + 5 - 2. Suppose 3*v + 5*n - 2 = 0, v + 0*n + 2*n + 1 = 0. Is v - (-3)\/(2 + s) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -13*n - 572. What is r(-45)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 920, 969, 1018?\n\"Answer: 49*x + 871","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -251 (base 13) to base 14.\nAnswer: -20c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 5 + 0)*(-6*z**4 + 4*z**4 + 18570*z**3 - 21 - 18572*z**3 - 9*z**2) in the form x + w*z**2 + d*z + l*z**3 + p*z**4 and give x.\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 169720860.\nAnswer: 2, 3, 5, 17, 166393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 47\/18 or 4?\nAnswer: 47\/18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - 2*t + 273, 5*m + 30*t - 35*t = 1365. What is the smallest common multiple of 1001 and m?\nAnswer: 3003","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3907723?\nAnswer: 23, 83, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10 - (8 - 9)) + -9.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 377.7075mm in micrometers?\nAnswer: 377707.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 + 21 = -2*u + 2*h, -1 = -h. Let f = 2 + -2. Which is the closest to 1? (a) u (b) -2\/161 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18638915?\nAnswer: 5, 997, 3739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 115*b**2*o**2 + 476*b*o**2 - 975*b + 3840036*o**2 - 16*o wrt b?\nAnswer: 230*b*o**2 + 476*o**2 - 975","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/7 in 2, 246, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-34*g**5 + 13*g**5 - 14*g**5)*((0 + 2 - 4)*(-2 + 2 - 3) + (1 - 2 + 2 + (-4 + 3 - 1)*(-1 - 2 + 1) - 4 + 0 + 3)*(2 + 0 - 3)*(-1 + 0 - 1)).\nAnswer: -490*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence glj when three letters picked without replacement from jlggllgllgglglllglg.\nAnswer: 40\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**3 - 6*h**2 + 9*h - 10. Determine j(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 + 9. Let k = 11748.962 + -11737. Let i = k - o. What is i rounded to two dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**2 - 21*d + 13. List the prime factors of i(-16).\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*(-8)\/160)\/(494\/78 - 6).\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1178968822 and -0.5?\nAnswer: 1178968821.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 9\/52 (b) 0.2 (c) -0.4 (d) 0 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 78, 689, 2346, 5571, 10886?\nAnswer: 18813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -33488+-42\nAnswer: -33530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 27\/10 - 38\/15. Let z(g) = -6*g + 36. Calculate the common denominator of z(5) and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2\/4)\/((15\/(-5256))\/(-5)). Find the third derivative of 403*i**2 - q*i**2 - 69*i**3 + 380*i**2 wrt i.\nAnswer: -414","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4*o**2*q**2 - o**2*q + o*q + 90*o - q**2 - 938*q - 1 wrt o?\nAnswer: -8*o*q**2 - 2*o*q + q + 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -687 = x - 195. Let m be x\/(-20) + 6\/(-10). Suppose 4*p + 62 + m = 5*y, -3*y + 51 = -3*p. Is 8 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 30664458 or 30664407?\nAnswer: 30664407","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -23 + 20220212?\nAnswer: 20220123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.65845 + 0.34155. Put 0.1, 16, -2\/27, d in descending order.\nAnswer: 16, d, 0.1, -2\/27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/(-1)*(-9 + 8). Let v(t) = -2*t + 4*t - 8 + 10*t**2 - 9*t**2. What is the tens digit of v(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (-4 + 3 + 3 + -1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**2\/n)**(-14\/3) assuming n is positive.\nAnswer: n**(-14\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1813649 and 771.\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20 - (-10 + 2 + (-8 - -4) + 12)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3010317 is divided by 602061?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -2*s**3 - 6*s**2 + 13*s + 14. Let g be f(-4). Let z be g\/(5\/20*-3). Solve 4*d - z = -0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11)*-1)**2*2 - (-3 + sqrt(44)).\nAnswer: -2*sqrt(11) + 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -2*q**3 - 2*q**2 - 2*q - 1. Let r be 6*(-1)\/((-6)\/4). Suppose 4*y - 6 = z - 6*z, 2*z - 8 = r*y. Calculate the remainder when z is divided by a(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18426010?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-4)*f*f\/(f\/(f\/(f**(-1)\/f))))\/(f\/(f**(1\/2)\/f))**(27\/2))\/((f*f**(-8)\/f*f*(f*f\/f**5)\/f)\/(f**(-2\/3))**(-2\/41)) assuming f is positive.\nAnswer: f**(-4535\/492)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*x + 13*x - 3434. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1139121?\nAnswer: 3, 23, 5503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -784 (base 9) to base 2\nAnswer: -1010000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2101 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1613 is divided by 402?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 27344?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 3*u - 9. Let b be l(5). Suppose 29*t - 26*t = -b. Put -4\/5, 5, t, -1\/2 in descending order.\nAnswer: 5, -1\/2, -4\/5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43141066 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 48337 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 176669472013 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (6 + -6 - 1) + -6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 4*x. Suppose -q + 6*q = x. Factor -2\/3*s**2 + 0*s**3 + 1\/3 + q*s + 1\/3*s**4.\nAnswer: (s - 1)**2*(s + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((z*z**(1\/3))\/z)**(1\/68)*z**(-4\/7)\/z**(-3))**(-6))**(2\/25) assuming z is positive.\nAnswer: z**(-139\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 14519 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -83, -293, -613, -1031, -1535, -2113, -2753, -3443?\nAnswer: -4171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -83 + f**2 + 0*f**2 + 78 + f. Let j be r(0). What is the third biggest value in 12, 0.3, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -5*7\/(-70)*80\/2. Calculate the greatest common divisor of 150 and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*g**2 - 5 + 5)*(0 + 0 + 1) + 2*g**2 - 2*g**2 + g**2 + (-g - 4*g + 2*g)*(0*g - 2*g + 4*g) as w*g + p + u*g**2 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the second derivative of -r**8\/13440 + r**6\/1440 + 7*r**4\/12 - 4*r. Let h(q) be the third derivative of d(q). Solve h(c) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4925215277 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = c + 3*c + 74, 0 = -3*v + c + 68. Let x = -4 + v. Does 5 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -3, 5, 353 in increasing order.\nAnswer: -3, 1, 5, 353","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12 + -56. Which is smaller: h or -69?\nAnswer: -69","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15 - 13. Solve 3*i + 4*b = l*i + 1, 3*b + 4 = 4*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-112)\/(-6))\/(-2 - (-105)\/54). Let s = -49 - q. Put s, 0.2, -4, -3\/4 in descending order.\nAnswer: s, 0.2, -3\/4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 + 118c4?\nAnswer: 118be","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3821 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**2 - 160*n + 2251. Let a be z(13). Solve 0 = 3*j - 4*q - 19, a*q + 9 - 2 = j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 127836?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 5708376?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 40, 4, 80, -4 in increasing order.\nAnswer: -4, 4, 40, 80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes before 10:28 PM?\nAnswer: 5:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -57*w**3 + 10*w**2 + 6*w + 2. Let x(i) = -56*i**3 + 11*i**2 + 7*i + 2. Let j(m) = 7*g(m) - 6*x(m). What is the third derivative of j(l) wrt l?\nAnswer: -378","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -7*z**3 - 110*z**2 + 284*z - 72 = 0.\nAnswer: -18, 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that v**4\/2 + 285*v**3\/4 + 423*v**2\/4 - v\/4 - 141\/4 = 0.\nAnswer: -141, -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4 + (-23)\/(-2))\/(1\/(-6)). Let x = m + 49. Suppose x*w - 198 = f, 0*w - 190 = -4*w + 5*f. List the prime factors of w.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 35, 4, -2, -5, -19.\nAnswer: -19, -5, -4, -2, 4, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 8 + u**2 + 14 + 14*u - 5 to the form q + c*u**2 + h*u and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -34 - -43. Suppose 2*a - 10 = 0, 4*x - v - 32 = -a. Solve -x*j = -8*j - 5 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v + 1. Let q = 197 - 106. Let p = 86 - q. Give d(p).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -117, -482, -1097, -1962, -3077, -4442?\n\"Answer: -125*i**2 + 10*i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y + 5. Calculate the remainder when t(-4) is divided by 19 - ((-110)\/(-11) - 3) - (-7)\/(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (3 - 0)*-1 - -1262 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/9 (b) 0.5 (c) 0.4 (d) -1 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**2 + 15*k - 7. Let l be (-9)\/(-1) + -1 + (-1)\/1. Suppose 2*w = 3*z - 49, -45 = -4*z - 4*w + l. Determine y(z).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.007390442524 rounded to three decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**3 + 38*o**2 + 116*o - 6300. Give b(31).\nAnswer: 4023","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 5*f + 38 = 0, 0 = 22*h - 24*h - f + 31. Solve h = -4*a - 3, 3*d + 4*a + 7 = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the second derivative of -x**5\/20 - 5*x**4\/6 - 13*x**3\/6 - 5*x**2 + x. Suppose h + 8 = -1. Is y(h) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bqbbjbbbbbqqbbb. Give prob of picking 3 q and 1 j.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + 33 = -5*h, 208*h = 5*a + 203*h - 35 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63153 is divided by 8487.\nAnswer: 3744","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 32900 and 40?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 12471673177 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve x = 3*x + 3*y - 5, 4*x = 4*y - 20 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 948.115 nanograms to grams.\nAnswer: 0.000000948115","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) -3\/2 (c) -0.1 (d) -0.49\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 24 + 2. Let w = k - 22. Let h = 3.8 - w. What is the closest to 0.1 in -3\/5, 0.3, h?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -455 (base 8) to base 12\nAnswer: -211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4952.\nAnswer: 2, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27037 is divided by 9005?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(-8) - 0\/(-1). Let u = 47 - 49. Let w = -1 + 0. Which is the third smallest value? (a) u (b) w (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r when three letters picked without replacement from orrrroroorrro.\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*m**3 - 6*m + 3 - 2 + 5*m - m**3 + 5*m**2 to y*m**2 + s*m**3 + u*m + c and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m + 4*y + 6, -2*m - 3*m + 2*y = -36. Suppose -m*k - 125 = -k. Let h be (186*k)\/((-3)\/2000). Round h to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 - (11 - 3 - (2 - 0))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gmg when three letters picked without replacement from mggg?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -10*h**3 - h**2 - 2*h - 2. Determine v(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4025759\/30508 + -3829\/29. Calculate the common denominator of -103\/44 and r.\nAnswer: 11572","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9 and 5277?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 472892911 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -19*0.4\nAnswer: -7.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 246172787 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(52) + -5 + -2 + sqrt(52)\/sqrt(4) + -4)**2*-3.\nAnswer: -594 + 162*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 2\/33 + 210007\/627?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(-2)\/q)**(-2))**(-27))**(-5) assuming q is positive.\nAnswer: q**810","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1636571*f**5 - 3872035*f wrt f?\nAnswer: 32731420*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 4, u: 3, x: 2}. What is prob of sequence nxnx?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2303 to the power of 1\/2, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*l**3*v + 475*l**2*v**3 + v**3 + 203 wrt l?\nAnswer: -6*l**2*v + 950*l*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 2*u - 5*u. Suppose -u*l = -144 + 8. List the prime factors of l.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3, 1146 in ascending order.\nAnswer: -3, 2, 1146","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 20708\/9 - 2297. Let b = 1309 + -3875\/3. What is the common denominator of b and w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*w**3 + 17*w**3 + 14*w**3 + (-2*w + 2*w**3 + 2*w)*(7 + 1 + 0) - 2*w**3 - 5*w**3 + 2*w**3.\nAnswer: 33*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 15*h**2. Let g(z) = 6*z + 13. What is a(g(u))?\nAnswer: 540*u**2 + 2340*u + 2535","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - (1 + -1) - -14.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((1 + sqrt(684) + 0 - 5*sqrt(684)*-2) + -2)**2 + 0.\nAnswer: -132*sqrt(19) + 82760","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/9 - (1 - (-52)\/(-9)). Let j = 15 - x. Let k be ((14\/6)\/7)\/(j\/6). Put k, -1\/12, -3\/34 in descending order.\nAnswer: k, -1\/12, -3\/34","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -2\/7, 4, 0.02, 0.3 in descending order.\nAnswer: 4, 0.3, 0.02, -2\/7, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 61628361 and 305?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.82118 rounded to 1 dp?\nAnswer: 2.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -4*f**5 + 135012*f**4 - 1519559784*f**3 + 5708976390216*f**2 - 68330073961620*f + 153650451552084 = 0.\nAnswer: 3, 9, 11247","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 166*l**2 + 13 - 35 - 193*l**2 wrt l.\nAnswer: -54*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, 3, 1, -5688 in descending order.\nAnswer: 19, 3, 1, -5688","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 68272094?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the second derivative of 2\/13*z**2 + 0 - 1\/13*z**3 + 1\/130*z**5 + 5*z + 0*z**4. Let s(t) = 0. Calculate t.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15571 and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 9752, 9754, 9756, 9758?\n\"Answer: 2*b + 9750","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of -126 and 766055.\nAnswer: 765929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 13034 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*s - 4*s - 1092 + 169 = 0 for s.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes before 2:50 AM?\nAnswer: 1:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gmmo when four letters picked without replacement from {g: 8, o: 1, m: 6}?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (23 + -13 - 15) + (-53 - -9) + 2?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -165*w**3\/2 - 1977*w**2\/2 - 2952*w + 54 = 0.\nAnswer: -6, 1\/55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*u + 45, 3*d + 1073 = 2*u - 38. Let g be (-2)\/(-9) + (-14439)\/(-27). Let s = g + d. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 335 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**3 + 2*j**2 - 2*j + 1. Let a be o(-2). Suppose -a*s + 126 - 16 = 0. List the prime factors of s.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/((-273)\/(-52)))\/(11\/2904*-4)?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -703, -1389, -2035, -2623, -3135, -3553, -3859?\n\"Answer: 3*l**3 + 2*l**2 - 713*l + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**19*z*z*z*z*z**(-14))**(-27))**(1\/7) assuming z is positive.\nAnswer: z**(-270\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*l**2 - 9*l**2 - 8*l**2 + 21*l**2 - 2*l**2.\nAnswer: -10*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4.38517 and -125.\nAnswer: -548.14625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - 18 = -2*z, 36*z - 5*j = 32*z - 34 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-10)*((-150)\/5)\/(-6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 24*u - 276. Calculate s(14).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 - 1. Suppose -7 = 4*f + 2*q - 27, 33 = 3*f - 3*q. Let n = 12 - f. Solve -2*x - 4*b - d = -n*x, -3*b - 5 = -5*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 4*m + 18 + 18 = 0, 25 = 5*h + 3*m. Let t be 25 - (-4 + 5 + -4). Suppose 84 - t = a. What is the greatest common divisor of a and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -33 + 229\/7. What is the second biggest value in -1\/2, -8\/7, g?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -20, -23, -36, -65, -116?\n\"Answer: -z**3 + z**2 + z - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -20*q. Let p(y) = -y**3 + 4*y**2 + 6*y. Suppose -3*g + 5*u = 0, u - 4 + 1 = 0. Let t be p(g). Let i(w) = -w + t*w - 4*w + w. Give x(i(d)).\nAnswer: -20*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 433894 is divided by 1157?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -2*u + 2. Let g be l(0). Suppose 6*j + 144 = g*j. Let a be (j\/8 + 4)*-4. Solve c - 3*x + 29 = a*x, -4*c + 5*x = 41 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rvet when four letters picked without replacement from {e: 1, r: 1, v: 3, t: 1, u: 3, f: 2}.\nAnswer: 1\/2640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -76 + 76.00057. What is k 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 thousands digit of 8300?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**2 + 5*x. Suppose 0*l + 11 = -l + 3*v, -v + 9 = l. Let m be u(l). Solve 0 = o - 9 + m for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3595 - 3433. What is the highest common factor of u and 1242?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n*n**0)*n)**4\/(n\/(n\/(n*n**2*n))*n)**(-34) assuming n is positive.\nAnswer: n**174","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 934*c**2 + 957*c**2 - 17*c - 1870*c**2. Let t(z) be the second derivative of 5*z**4\/12 - 2*z**3\/3 + z. What is 9*t(k) - 2*x(k)?\nAnswer: 3*k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -3*t - 35, -3*r - 8 = -2*t - 3. Let w(c) = c**3 + 6*c**2 + 4*c. Let q be w(-3). Is t\/25 - (-498)\/q a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*p**3 - 5*p**3 + 90*p - 44*p - 46*p.\nAnswer: -3*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**4*p*(p\/(p*p\/(p*((p\/p**(3\/8))\/p)\/p*p)*p*p*p*p))\/p*(((p*p\/(p\/(p*p**(-3\/5))))\/p)\/p)\/(p\/(p**(2\/9)\/p)) assuming p is positive.\nAnswer: p**(-991\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 264 - 255. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 59, 35, -15, -103, -241, -441?\nAnswer: -715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 10 (b) -0.05 (c) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2\/425 + -1271\/850. Let m = 2 + 4. Which is the nearest to 0.2? (a) l (b) -2\/13 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -15545 + 2?\nAnswer: -15543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 66*j**3*u**3 - j**3*u**2 + j**3*u + 2*u**3 + 4*u wrt u.\nAnswer: 396*j**3*u - 2*j**3 + 12*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2821 by 21086.\nAnswer: 217\/1622","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 3*d - 3. Let m = -204 + 199. Let a(n) = -5*n + 4. Give m*a(u) - 7*z(u).\nAnswer: 4*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/3*d**5 - 7776*d - 4976\/3*d**3 - 208\/3*d**4 + 7488*d**2 + 0.\nAnswer: -2*d*(d - 2)**2*(d + 54)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**3 - 10*o**2 - 4*o + 49. Let n be x(10). Suppose -2*a = -3*a - 12. Let r = a + n. Sort r, 0, 1\/4 in descending order.\nAnswer: 1\/4, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2210 + 1131 = 70*p - 1923 - 1606 for p.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 124918?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -24 - 15?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -326 times -316\nAnswer: 103016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the third derivative of -z**6\/120 - 72*z**5 - 5819*z**4\/12 + 2265*z**2. What is the second derivative of g(n) wrt n?\nAnswer: -6*n - 8640","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 2 u when three letters picked without replacement from {q: 2, u: 11, b: 2}?\nAnswer: 22\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**2 - 2*h - 18. Let y be c(8). Let d = -24 + y. Let q(z) = -z**2 + 12*z + 6. What is the tens digit of q(d)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 21 and 420?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(224) - sqrt(224))\/sqrt(8) + sqrt(28))\/(2*sqrt(144))*1.\nAnswer: sqrt(7)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 81506094 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -19, -85, -261, -601, -1159, -1989?\n\"Answer: -9*q**3 - q**2 - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5.15 - -0.15. Let r = 1491.24 + -1491. What is the smallest value in -0.4, r, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (126\/(-91))\/((-105)\/910). Solve -l + 15 = -5*u, -b*l + 15 = -9*l for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -22*c**2 + 21*c + 6. Let m(y) = -66*y**2 + 64*y + 18. Let q(w) = 7*d(w) - 2*m(w). Let n(f) be the first derivative of q(f). Is n(-9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8*100\/6400)\/(-1*2\/1552)?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z + 40. Let a be q(40). Suppose a*h = 5*h - 20, h - 121 = -w. Calculate the highest common divisor of w and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -26673 + 26621 - (44 + 1)?\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1871.2543 + -1871. Let q = y - 0.0543. Let f = 0.4 + -2.4. Which is the nearest to -1? (a) 6 (b) q (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 0.096, 2, 0, -0.3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -203 or 10?\nAnswer: -203","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8219114?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(1872))**2*-6*6 + (2*(sqrt(1872) + -3 + sqrt(1872))*2)**2 + 0 + -5.\nAnswer: -149621 - 2304*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -7*o - 66. Let r be (-2 + o)\/(3\/2). What are the prime factors of 1\/(-4) + (-180)\/r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12647 is divided by 381?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13*11\/715)\/(4\/(-8)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.61 * -2.85\nAnswer: -1.7385","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1357 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 divided by 7.\nAnswer: 17\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhhhhhhhhhhhhhhhhbh. Give prob of sequence bh.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/12 and 3\/1328.\nAnswer: 3984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -36 - -42. Let d(c) = -c**3 - 5*c**2 - c + 2. Suppose 3*r - u + 19 = 0, 21 = -r + 5*u - u. What is the least common multiple of o and d(r)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6201913542 to the power of 1\/3, to the nearest integer?\nAnswer: 1837","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 12\/15 - 57\/72. Let i(h) be the third derivative of 0*h + 2*h**2 + 1\/6*h**3 + a*h**6 + 1\/30*h**5 + 0*h**4 + 0. Calculate i(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28311 is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -0.5 (b) 5\/2 (c) 13\/2 (d) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 4*m**2 - 2*m**2 - m**2. Let p(h) = h**2 - 2*h - 7. Let z be p(5). Let i(n) = 3*n**2 + 4*n**2 - z*n**2. Calculate l(i(o)).\nAnswer: o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15577\/6 - -2596. Let n = 0.21 + -0.2. Which is the second biggest value? (a) f (b) n (c) 0.1 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 - 2. Let j = -18 + 14. Let g(b) = -b**2 - 11*b - 23. Let u be g(j). Is u equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*-3*sqrt(18)*3.\nAnswer: 162*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 16 = 2. Let y(l) = -l**3 - 10*l**2 - 13*l. Is y(n) a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-11031)\/(3\/(-1)) - (-6 - 0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in two fifteenths of a minute?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-10028 + 6)\/(6\/9 - 0). Let y = -6855 - t. Let r = y + -220868\/27. What is the common denominator of r and 115\/24?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3*8\/(-4)*1. Suppose -4931 = -i*l - 209. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-5) + (-260)\/50\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*s + 25 = -12*s - 206 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 g when two letters picked without replacement from {b: 2, e: 3, v: 3, d: 1, g: 2, u: 1}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6.6148994 + -6.621. Round w to five dps.\nAnswer: -0.0061","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:00 AM and 12:28 PM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a - 4*i + 25 - 9, 5*i = 15. Let y(j) = -7*j**3 - 4*j**2 - 4*j + 1. Is y(a) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, g: 9, x: 6}. What is prob of picking 4 g?\nAnswer: 9\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, 0.3, -3, 55, -2\/5 in increasing order.\nAnswer: -3, -2\/5, -2\/11, 0.3, 55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**3 - 6*l**2 - 3*l + 4. Determine x(-6).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**3 - 5*p**2 - 2*p - 4. Let c(l) be the first derivative of -l**4\/2 - 2*l**3 - 3*l**2\/2 - 4*l - 11. Let j(r) = -2*c(r) + 3*v(r). Determine j(4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a decade in years?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*z - 2*u - 20492 + 20494, 3*z + 0 - 4 + 3 = 4*u for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i. Let r(m) = -m**2 + m + 2. Let j(n) = -2*a(n) - r(n). Let q be j(4). Differentiate 0 - 2*k**q + 2 + k**2 wrt k.\nAnswer: -2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-27)\/(1701\/(-21)))\/(((-100)\/12)\/5)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.3 (b) 2118346\/9 (c) -1 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -44, -94, -144, -194, -244, -294?\n\"Answer: -50*m + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8209 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 50*t - 178. What is l(3)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -15093450 divided by 1677050\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*t = 64*t - 22. Let o(g) = -4*g + 6 + 2*g + 3*g. Let j be o(-4). What is the greatest common factor of j and t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3920 - 1145 = a. What are the prime factors of a?\nAnswer: 3, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 6 + 2 = 0. Suppose 5*b + 48 = n*b. Calculate the remainder when 47 is divided by b.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 12 = 0, 0 = -3*g + 2*l - 17 - 1. Let s(m) = 3 + 5*m + 5*m**3 - m + m - 21*m**3 - 3*m**2. Is s(g) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**2\/3 + 8134292*l - 49625029755948.\nAnswer: -(l - 12201438)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + (8 - (5 + -7))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 7*i. Let j(a) = 20*a. Let t(c) = 4*c**3 + 1 + 6*c**2 + 0 - 4*c**2 - 2*c. Let o be t(1). Suppose -7 = -o*v - 37. Determine v*j(z) + 17*w(z).\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 3*j**3 - 16*j**2 - 6*j + 76. What is a(5)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/30*(-3)\/1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12 and 688821?\nAnswer: 2755284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/6*(-7)\/(-7))\/(-1)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -63876 times -83\nAnswer: 5301708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2105838?\nAnswer: 2, 3, 7, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lggggglggggggggggg. Give prob of picking 4 g.\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31 is divided by ((-66)\/(-12) + (3 - -1))*2.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12.959 - 0.081. What is k rounded to the nearest integer?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2339066131 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -3236\/1709?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s**5 - 394*s**4 + 145242*s**3 + 30189978*s**2 + 59355504*s - 89690328 = 0. What is s?\nAnswer: -234, -3, 1, 273","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*s - 5914 + 36182 = 0. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-80)\/28)\/(146*18\/(-189) + 14).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -28c + 194?\nAnswer: -c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - n - 5 = 0, 11*n - 24 = -2*u + 6*n. What is the greatest common factor of u and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of n**2*u**5 + 73*n**2*u - 795*n*u**4 + 2*n*u - 2*u**2 wrt u.\nAnswer: 60*n**2*u**2 - 19080*n*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 220763 and 12026?\nAnswer: 859","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = f - 6. Suppose 5*z - 5*p - 30 = 0, 0 = 2*z - 4*z + p + 9. Suppose 84 = 4*s - 4*v, -f*s + z*v + 23 = -3*s. List the prime factors of s.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = -5*s + n, -5*s - 4*n = 24 - 30 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the third derivative of -h**8\/2240 + h**7\/280 + 5*h**4\/24 - h**2. Let r(v) be the second derivative of d(v). Factor r(i).\nAnswer: -3*i**2*(i - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/5 + (-8)\/20. Suppose -2*f + 2*i + 10 = s, -f + 3*i + 5 = i. Suppose -f*b - 4*t + 5339 = 0, 2*b = -2*t + 3*t + 2133. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.48 (b) 135 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 81194, 162403, 243628, 324869, 406126?\n\"Answer: 8*g**2 + 81185*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 405677379*c**3*f**2 + 77949*c**3 - 3131 wrt f?\nAnswer: 811354758*c**3*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -46, -1, 0.0341745 in descending order.\nAnswer: 0.0341745, -1, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3 + 6*z**2. Let a = 50 + -43. Suppose -4*i - 66 = a*i. What is m(i)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 25 + 5 = 0. Calculate the remainder when 8 is divided by k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3617726.1 rounded to the nearest 100000?\nAnswer: 3600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.06343967522 to 2 decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/(-4)*(-28)\/21. Let i be 0*(5\/(-2) + k). Solve 5*v - 5 = 5*x, 4*x + i*x + 5*v = 32 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/16 - (-3587)\/136. Let i(j) = -39 - 13*j - 10*j + c*j. Let l be i(13). Solve -a + l + 1 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 682662787 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -38*u + 871. Let q(x) = -28*x + 581. Give 7*q(k) - 5*y(k).\nAnswer: -6*k - 288","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19 - 6*(-6)\/9 is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -3*b + 6*b. Let t be (30*b)\/(6\/(-15)). What is t rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -9*i**3 + 6*i. Let s(u) = u**3 - u. Let d = -13 + 14. Determine d*x(h) + 6*s(h).\nAnswer: -3*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1067 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 99*f - 77*f. Let s = 3 + -7. Let y(h) = -h**3 + 5*h**2 + 6*h - 2. Let d be y(6). Which is the closest to f? (a) 0.4 (b) s (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/(x*x*x*x**(-18\/5)*x*x*x)*x**(-16)*x assuming x is positive.\nAnswer: x**(-82\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -45 (base 10) in base 7?\nAnswer: -63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 4\/75 of a week?\nAnswer: 32256","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes after 8:36 PM?\nAnswer: 4:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -9 + (416 - 386).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 9*l - 17. Let s be (2*-1)\/((-20)\/50). Suppose -s + 1 = 3*h + 5*c, 5*c = 2*h - 39. What is the units digit of y(h)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -7*i**3 + 6*i**2 - 5*i + 10. Suppose -96*b = -50 + 19 + 607. Let d(n) = -6*n**3 + 5*n**2 - 4*n + 9. What is b*d(s) + 5*q(s)?\nAnswer: s**3 - s - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 16*b**2 - 12*b + 21. Let v(l) = 14*l**2 - 11*l + 17. Give 6*q(r) - 7*v(r).\nAnswer: -2*r**2 + 5*r + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -318 + -1 + -4 + 5. Let i = 1195 + g. Is i 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 3088609?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21 (base 4) to base 8.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.7 + 21.3. Let n = -22.3 + o. Let k = 2.33 + -2.13. Which is the nearest to 0.2? (a) k (b) n (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 - (-2 + -16 + -8 + -12)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11576 + 21366 = 14*a. Is 13 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*b**4 + 30 - 30 + (-2*b**2 - 2*b**2 + 7*b**2)*(3*b**2 + 2*b**2 - 6*b**2) to the form m*b**2 + l*b**4 + g*b**3 + y*b + x and give l.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 518, 512, 506, 500?\n\"Answer: -6*s + 524","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 108 and 624.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15 + 14. What are the prime factors of d?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26551790 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: b\"What is the uth term of -111, -610, -1441, -2598, -4075?\n\"Answer: u**3 - 172*u**2 + 10*u + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 6*k - 76. What are the prime factors of k?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -0.4, -2, -4, -3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 40 - 234?\nAnswer: -164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 27 = 5*x, -x - 6 = n - 2*n. Suppose 4*a = 1 + 3, -5*g + 7 = -n*a. What is the smallest common multiple of 18 and ((-3)\/9)\/(g\/(-120))?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**3 - 2*q**2 + 20*q - 24.\nAnswer: -(q - 2)**2*(q + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 13) to base 4\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 87.33068km to meters.\nAnswer: 87330.68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -157512*l - 180704*l - 43593*l - 126587*l + 25992*l**2 - 150068*l + 3*l**4 + 6255408 - 456*l**3.\nAnswer: 3*(l - 38)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2233 equal to 1093?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5939786.\nAnswer: 2, 31, 95803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*(z\/z**8)\/z*z**(-8))\/(z\/z**(-2\/7)*z*z*z*z*z**(-1)))**5 assuming z is positive.\nAnswer: z**(-675\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.38 + -0.02. Let u = 472 + -460. Let o be 10\/u + (-25)\/30. Sort a, o, 20.\nAnswer: a, o, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -2*a**2 + 27*a - 33. Give o(14).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3 + -2 - 12\/3. Let t be -3*v*-2*1. Is (-4)\/t - (-392)\/18 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(2058) - sqrt(2058)*1)*6)\/(sqrt(324)\/(sqrt(96)*1)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + 3*l)*(-5*l**2 + l**2 - 36*l + 38*l).\nAnswer: -12*l**3 + 6*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 5*l - 42960 = 0, -25774 = -p - 2*p - 5*l. What are the prime factors of p?\nAnswer: 13, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 131\/1560 and -97\/30.\nAnswer: 1560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 111 - (4 + 2\/((-4)\/2)). Which is smaller: y or 106?\nAnswer: 106","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (22 - (0 + (0 - (-13 - -17)))) + 12?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 9) in base 14?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*f*n + 139*f + 3*n wrt n?\nAnswer: 4*f + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.33 - 61.67. Let h = i - -68.2. Let t = h + -5.47. What is t rounded to 1 decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*j + 38*j**4 + 0*j - 7*j**3 + 2*j**2 - 21*j**4 - 16*j**4 to q + i*j**2 + m*j**3 + z*j + h*j**4 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 114\/(-9)*7*((-900)\/(-18900))\/(2\/36)?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -5*q + 529. What are the prime factors of g(-7)?\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-2\/3)*d**1 assuming d is positive.\nAnswer: d**(1\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, 2, 38, 0 in ascending order.\nAnswer: -4, -1, 0, 2, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -l**6 + 83*l**4*o + 3*l**4 - 46*l**2*o + 8*l**2 wrt l.\nAnswer: -120*l**3 + 1992*l*o + 72*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*k**2*n + 8*k**2 - 21763*k*n - 335*k - 2*n - 3 wrt n.\nAnswer: 2*k**2 - 21763*k - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 996 is divided by (-133025)\/(-272) + (-13)\/208?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 = -5*v - 6. Suppose -c = -4 - v. Calculate the greatest common divisor of c and 121.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (((sqrt(1216)*2 - sqrt(1216)) + sqrt(1216))**2 + sqrt(1216))*2.\nAnswer: 16*sqrt(19) + 9730","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -0 + 20. Let y = p + 26. Calculate the remainder when y is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1*(114\/10 + 2\/(-5)) and 5?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a meter in millimeters?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1581200914?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - 51 = -2*g - 18, 22 = 2*j + 3*g for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-615)\/(-246)*6\/9*(-4)\/90\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 669929509 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 187408.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2, 18, -2, 7, 821, 1 in decreasing order.\nAnswer: 821, 18, 7, 2, 1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -523.49 + 10.49. Is i greater than or equal to -1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -349 + 51. Is w a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3679214868 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -6 - 2. Is (-2 + y\/2)*-10 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the third derivative of c**8\/13440 + c**7\/10080 - c**6\/720 - c**5\/60 - c**2. Let p(k) be the third derivative of g(k). Factor p(w).\nAnswer: (w + 1)*(3*w - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36000 = -129*o - 35871 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.285 - 722.715. Let x = p - -727. Which is the smallest value? (a) -4 (b) -23 (c) -2\/7 (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52394615 is divided by 26197274?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -90*y**2 - 3 + 152*y**2 - 5*y + 119*y**2 + 3*y + 133*y**2 to j*y + z*y**2 + u and give z.\nAnswer: 314","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**4*t)**(4\/3)*(t*(t*t\/(t\/t**0))\/t*t)\/t**(-14) assuming t is positive.\nAnswer: t**24","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 524, 528, 518, 494, 456, 404, 338?\nAnswer: 258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(162) + 1 + -1 + sqrt(162) + sqrt(162)))**2.\nAnswer: 13122","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-3)*z\/z**16)\/(z*z*(((z\/z**(-3))\/z)\/z)\/z*z)**42 assuming z is positive.\nAnswer: z**(-186)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -18*x + 1437*x**2 - 2868*x**2 + 55 + 1437*x**2. Is s(8) a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -176 + 16*z - 38*z - 12*z. What is the units digit of w(-15)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 574*p**3*s*w**2 - p**3*w**2 + 10*p**3 - 45837*p**2*w**2 + 50654*p*s*w**2 - p*w**2 + 2*p*w + 1 with respect to s.\nAnswer: 574*p**3*w**2 + 50654*p*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2 or 0.5260564?\nAnswer: 0.5260564","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a meter in centimeters?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**3 + 3*l**2 + l + 77. What is r(-6)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 43032333 + -10?\nAnswer: 43032323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8394*k**3*w**2 - k**2*w**2 + 8225*k**2 wrt k?\nAnswer: -50364*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/12517 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -53*y + 16. Let m be v(-4). Let x be 19325\/11 - (m\/(-44) + 5). Let w = -850 + x. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jnj when three letters picked without replacement from janjjajrjuuj.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 126*b + 36*b - 5652 = -152*b for b.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j - 3*a = -2*j - 5487, 1087 = j - 2*a. Suppose 25*n - 130 = j. Solve 7*k + n = 14 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 145\/126 + -473\/630. Let g = -12 + 10.6. Let s = g + 1. What is the nearest to -1 in y, s, 2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-p**2 + p**2 - 8*p**2)*(4*p - 1 + 1)*(1 + 1 + 3) to v*p + m*p**3 + t + l*p**2 and give m.\nAnswer: -160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 294, 97, -238, -711, -1322, -2071?\n\"Answer: -69*u**2 + 10*u + 353","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*n + 36 - 16 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1828 or 0.35409?\nAnswer: -1828","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d + 4*x + 37 = 0, 9805*d - 40*x - 188 = 9809*d for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*j = -11*j - 90. Suppose -12*w = s - j*w - 72, 2 = w. Calculate the greatest common factor of s and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.983124107 rounded to five dps?\nAnswer: 0.98312","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 3*a - 20 - 8 = 0, -2*c - 2*a = 0. Suppose w - c*w + 62 = -5*p, 0 = 3*p + 12. Let u be (-9)\/12 - w\/(-8). Is 3\/4 at most as big as u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22.36 - -120.23145?\nAnswer: 97.87145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 3) to base 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (4*(sqrt(1088)*1*-5*3 + -2*(sqrt(1088) + sqrt(1088) + 0 + sqrt(1088) + 1)))**2.\nAnswer: 10752*sqrt(17) + 7676995","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40\/(-100) + 674\/10.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 80 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a**3 - a**2 + a**2)*(55 - 6775*a**2 - 219 + 55 + 109) + (-a**4 - 3*a**4 + 3*a**4)*(2*a - 2*a + 2*a).\nAnswer: 13548*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -111 - -665. What is the hundreds digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 100\/(-36) - 3*6\/81?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13950 = 4*i + 2*v, -217*i - 3*v = -213*i - 13951. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1001 (base 2) to base 7.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -18244, -18238, -18228, -18214?\n\"Answer: 2*q**2 - 18246","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 2*h**3 - 11*h**2 + 3*h + 1. Let i(t) = -2*t**3 + 12*t**2 - 4*t - 2. What is 3*i(q) + 4*r(q)?\nAnswer: 2*q**3 - 8*q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g - g + 152. Suppose -5*q + 27 = -g. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1524?\nAnswer: 2, 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1218 to the power of 1\/2, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h**3 + 0*h**3 - h**3)*(h + h - h) + 1810*h**4 + h**2 + h**2 - 2*h**2 - 424*h**4.\nAnswer: 1388*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a century in months?\nAnswer: 5040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - 3*j = -0*t - 1, j + 5 = 2*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000509079909 to 5 dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4535953 to the power of 1\/2, to the nearest integer?\nAnswer: 2130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2787875.\nAnswer: 5, 22303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24770, 4, 1.\nAnswer: 1, 4, 24770","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**3 + 11*d**2 - 18. Let g be 15*(-6 - (-162)\/30). Let l be m(g). What is the greatest common divisor of l and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1416 + 1416. Let d be 27\/18*4\/6. Solve 3*q - 2 - d = s for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 76695 - 42697. List the prime factors of i.\nAnswer: 2, 89, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.95027ng to micrograms.\nAnswer: 0.00795027","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12 - -23. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - j = -5*w + 6, -4*w = 2*j - 4 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2391 + 1604. Let d = -754 - -2098. Let t = h + d. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 0 + 1 - 3 + h - 2*h. Let l be n(-3). Find the third derivative of 5*y**5 - 1 + l + 6*y**2 - 2*y**2 wrt y.\nAnswer: 300*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 885.7185 from -540.\nAnswer: -1425.7185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-50) - (39780\/16000)\/51)*-6?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*k + 85 = 31*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, k: 2, g: 3, j: 8, t: 2, x: 4}. What is prob of picking 1 k, 1 h, and 2 x?\nAnswer: 4\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -228 = -14*x - 62*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i + 240 = 4*u, 7*u - 3*i = -494660 + 495070 for u.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nrnrprr. What is prob of sequence npr?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 331\/1120 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1216) + 0 + (sqrt(228) - sqrt(228)*-1)\/sqrt(12))**2*-2.\nAnswer: -3800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 3 = -7*v. Let c(a) = 116*a - 719. Let r(i) = -38*i + 227. Let j(o) = 6*c(o) + 19*r(o). Determine j(v).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 641*n**5 - 3*n**4 - 2266*n**2 wrt n?\nAnswer: 38460*n**2 - 72*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 349 - 330. What is the remainder when w is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 149981 and 19877?\nAnswer: 1649791","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -371 + 750 + 4*k - 380. Let n(f) = -4*f. Give n(t(g)).\nAnswer: -16*g + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and -0.0451.\nAnswer: 0.2255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 3, -163, -12108?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*68621.\nAnswer: 343105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0177031 to 5 decimal places.\nAnswer: -0.0177","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -31 + 32 - (159 + -79)\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q**2 - 351*q + 1080 = 0. Calculate q.\nAnswer: -120, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3425*i = -13782*i + 5335*i - 1721440 for i.\nAnswer: -145","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**3 + 9*z**2 + 4*z - 14. Let j be x(8). Let r be (410\/(-8))\/((-2)\/8). What is the highest common factor of j and r?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -265.32 - 3520981.0302?\nAnswer: -3521246.3502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4919?\nAnswer: 4919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from {w: 3, b: 1, t: 5, d: 6, g: 1, a: 4}?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-5)\/8*-2*4. Suppose 20 = z*a, 5*o - 4*a = 2*o + 164. What is the greatest common factor of 24 and o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**2 - x + 2. Let u be y(-2). Suppose u*t + t - 9 = 0. Calculate the remainder when -14 + 130\/10 + (0 + -32)\/(-2) is divided by t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 476*q - 45297 = -264*q + 33*q - 4291 for q.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -41249.53712 to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15\/23 + 1\/69. What is the nearest to 1 in a, -1\/6, -4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -40*i - 227. Let s be u(-10). Let b = s + 1115. What is the tens digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -174, -343, -506, -663?\nAnswer: -814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**3 - 5*g**2 + 5*g - 1. Let b be h(4). Suppose -45 = -b*i - 15. Calculate the highest common divisor of i and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -821834 or -10683861\/13?\nAnswer: -10683861\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 2*s + 1. Let k be (-40)\/(-15) + (-2)\/3. Let x be j(k). Solve 0 = 4*v - 3*q + 16, x*v + 4*q - 12 = -1 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - k - 528 = -o, -3*k = 4*o - 2131. List the prime factors of o.\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 - 5 - -1) + 2. Suppose r = 4*h - 0*h. Let q(g) = g + 27. Is 9 a factor of q(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 216 and 65340?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -7*v**3 - 2*v**2. Let y(i) = -36*i**3 + 306*i**2 - 447. Let s(x) = -5*j(x) + y(x). What is the first derivative of s(o) wrt o?\nAnswer: -3*o**2 + 632*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/2097069 and 62\/1356927.\nAnswer: 23067759","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 4*i + 3. Let o be 3\/(-2*3\/i). What is the nearest to -1\/5 in o, -0.1, -5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 5*n - 1 - 4 = 0, -3*n = 2*r. Suppose 0 = -2*s + 5*t - 5, 2*t = -r*s + t + 1. Is -5 less than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, 4, 6, 1 in increasing order.\nAnswer: -20, 1, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -31 + 53. Solve 3*n = i - 5 - 5, r = -5*n - i for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 3*k + 56. Let j be t(-10). Solve 0 = -2*u + 5*d + 26, -3*u + 3 = -5*d - j for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - p + 393 = -4*k, 0 = 5*k. What is the remainder when p is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in eleven halves of a day?\nAnswer: 7920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 48, -671, -5\/4, 1, -1 in descending order.\nAnswer: 48, 1, -1, -5\/4, -671","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3292888 to the nearest integer?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d - 23 + 17. Put 0.7, 5, d, 3 in descending order.\nAnswer: 5, 3, d, 0.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 + -11022202121?\nAnswer: -11022202120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/(-9) + (-8)\/(-6). Suppose q - p = -2. Is (12\/8)\/(q\/(-34)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30480 divided by -30480?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 9*h**2*i - 33*h**2 - h*i*q**2 - h*q**2 + i*q**2 - 2542*q**2 wrt h.\nAnswer: 18*h*i - 66*h - i*q**2 - q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 98*k**3*q**3 + 525*k**3*q**2 - 2*k**2*q**2 + 2453*k**2 + k*q**3 + k wrt k?\nAnswer: 588*q**3 + 3150*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0064025 rounded to 4 dps?\nAnswer: 0.0064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -29, 1 in descending order.\nAnswer: 1, -3, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, g: 12}. Give prob of sequence xx.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five eighths of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 284 divide 77421?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 19.1 - 21. Let p = 1.90000065 + u. What is p rounded to 7 dps?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 l, 1 t, and 1 u when four letters picked without replacement from tdelu.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sum -59 and -265.23.\nAnswer: -324.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 6072?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 21 and -14?\nAnswer: -294","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/20)\/(50\/200).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a century in years?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*h**3 + 10965*h**2 - 99090*h.\nAnswer: 5*h*(h - 9)*(h + 2202)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -7361, 1, -2, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*o**2 + 20*o**2 + 17*o**2.\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1417?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (231\/770)\/(33\/4). Put 0.3, p, 3 in decreasing order.\nAnswer: 3, 0.3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 4*p**2 - 8*p + 10. Let u be g(2). Let s be 2 + (1 - 1) + u. Solve -3*m = 4*k - s + 1, -2*m - 21 = -3*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in one twentieth of a kilogram?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 288.7 in 1554, -4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 + 3 - -7) + 0. Let r be (m\/(-60))\/(4\/7410). Let n = 302 + r. What is the common denominator of n and -23\/16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the first derivative of -t**3 + 6*t - 3. What is the first derivative of q(l) wrt l?\nAnswer: -6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -64473, -121787, -179115, -236463, -293837?\nAnswer: -351243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 525967 is divided by 693?\nAnswer: 673","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 3*w - 16. Suppose 4*q - 60 = -6*q. Let n be r(q). Suppose 6937 = n*u + 5*u. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.37 - -0.03. Let i = -207 - -145. Let h = i + 62.2. Sort h, x, -0.05 in descending order.\nAnswer: x, h, -0.05","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) 5 (c) 0.277 (d) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3, -10, 1\/94, 2, 2\/29?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 4*g**2 + 1 - 10*g**3 - 10 + 9*g**3 + g + 0. Let h be k(3). What is the common denominator of 10\/24*(23\/h + 3) and 53\/30?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/11, -1\/16, 22 in decreasing order.\nAnswer: 22, -1\/16, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and -4.8293.\nAnswer: -0.96586","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 2*q - q - 5*x, -3*x = -6. Let b(f) = f - 2. Let g(j) = 2*j - 5. Let y(m) = q*b(m) + 3*g(m). Differentiate y(n) wrt n.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.376364491 to 2 dps.\nAnswer: 1.38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 23 = 31. Suppose -3*z + 5*g + 34 = 0, -2*z + v = -g - 3. Solve -j = -4*t - 21, -z*j - 8 = -6*j + t for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/4 of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express ((3*s + 3*s + 2*s)*(0 - 2*s + 0) - s**2 + 3*s**2 + 0*s**2)*(1 + 0 + 0)*(1 - 3*s - 1) in the form m*s + u*s**2 + x*s**3 + q and give x.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 234676674?\nAnswer: 2, 3, 349, 37357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 896884*p**2 - 1792575*p**2 - 45 + 45 + 896423*p**2.\nAnswer: 732*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-17)\/(-85) + (-129)\/(-5). Suppose 5*m = 3*w + u, m - 16 = -3*m + 4*w. Let q = m + 3. Calculate the remainder when 38 is divided by q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 117, 114, 109, 102, 93?\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (12 - 328541)\/(-2 - 4\/(3 - 7)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 199*u - 221*u - 242 for u.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1138990948 a multiple of 76?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 + -1. Let w be (0 + 1)\/((-1)\/4). Suppose -6*a + 20 = -10*a. Sort c, a, w in descending order.\nAnswer: c, w, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 57.5 from -4.7.\nAnswer: -62.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 22, -4, 6 in descending order.\nAnswer: 22, 6, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*x + 4*x - 4*x)*(-21*x + 9*x - 3*x)*(-1 - 4 + 0).\nAnswer: 600*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-21)\/(-12))\/(((-6)\/(-72)*-6)\/6).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 338 - -3. Let i = -186 + s. Let c = i + -161.9. Round c to 0 decimal places.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 50731?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -7, -39, -71?\n\"Answer: -32*r + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 134634, 267477, 400320, 533163, 666006, 798849?\n\"Answer: 132843*r + 1791","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*n**2\/5 - 536702*n\/5 - 1744704.\nAnswer: 2*(n - 67104)*(4*n + 65)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 242898.\nAnswer: 2, 3, 40483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, p: 1, a: 6, x: 4, b: 1, e: 2}. Give prob of picking 2 e.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 455.5 + -496. Let g = 40.499516 + w. Round g to five dps.\nAnswer: -0.00048","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 2 r when three letters picked without replacement from nrrnxlnnrnnpnlnnnln?\nAnswer: 11\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 130484127.\nAnswer: 3, 43494709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-36)\/7*(-26360)\/(-59310).\nAnswer: -16\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 6, y: 4, i: 4, l: 3, v: 3}. Give prob of picking 1 y and 1 l.\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-5) + (-214)\/560. Is a at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18802?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/1457000 and -41\/205801250.\nAnswer: 823205000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -20\/3 - -7. Let y = 505.458 - -3.342. Let k = 509 - y. Which is the closest to k? (a) 0.5 (b) p (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p - 6*p + 4 = 0. Let l(y) = y**3 - 2*y. Let q(a) = a + 1. Give p*q(d) - l(d).\nAnswer: -d**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 2 = -4*x - 2, 0 = -5*x - 3*r - 1. Suppose 3*w - y - 2 = 0, 2*w + 4*y + 8 = 7*w. Let k = x - w. Let j(i) = 4*i**3 - 1. What is j(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-30)\/(13 - (-180)\/27*18\/(-8)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:08 AM and 10:33 PM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0.06, 1, -3, 0.17, 2\/9.\nAnswer: -5, -3, 0.06, 0.17, 2\/9, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2374?\nAnswer: 2, 1187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4390*j + 4414*j - 8732*j + 1296 for j.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3286 is divided by 187.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.31 - -0.01. Let h = -2135 + 8403\/4. Let b = 1225\/36 + h. Sort -0.5, 5, b, r in decreasing order.\nAnswer: 5, b, r, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-174 + 174 - 5*g)*(0 + 7 - 12) in the form v + q*g and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(-2)*(-4 + -6). Let i = -5 + 4. Let k(v) = v. Let m(a) = -a - 2. Let w(g) = -1. Let h(o) = 3*m(o) - 4*w(o). What is f*k(s) + i*h(s)?\nAnswer: -2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**2 - 1. Let v be c(-2). Let q = 5 - v. Let r = q + -2. Solve 3 + r = -3*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**3 + 19*d**2 + 49*d + 16. Let f be t(-16). Solve 0 = 2*j - 2*b, -5*b - 50 = 5*j - f for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the second derivative of -5*b**4\/12 - b**3 - b**2\/2 - 2*b. Let y(x) = -x**2 + 1. Let t(s) = r(s) - 4*y(s). What is t(-6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*5\/2*12\/225.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(168) + sqrt(168))\/sqrt(8))\/(-5*(2*sqrt(7) - sqrt(7))).\nAnswer: sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -88, -284, -450, -586, -692, -768?\nAnswer: -814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 7*i = -2*i + 575, -r + 4*i + 580 = 0. What is the units digit of (-1 - -4) + r\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 549*p**2 + 2*p - 13. Is v(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90187 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 359 (base 11) to base 10.\nAnswer: 427","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1159361 and 1463?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.21674 and 6.7?\nAnswer: -1.452158","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 + -111210002020022201?\nAnswer: -111210002020022211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 - (3 - 6\/1). Suppose 0*z + z + 4*u = j, 2*z - 38 = -2*u. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0517305 rounded to 3 decimal places?\nAnswer: -0.052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -13\/7 in 4, 246, 0.5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventeen quarters of a litre?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 - 4?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2518*m - 55033 + 55033 - 1181*m.\nAnswer: -3699*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the third derivative of q**4\/12 + 4*q**3 - 49*q**2 + 3*q. Let s(w) = -w**2. Give s(b(k)).\nAnswer: -4*k**2 - 96*k - 576","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 164 and 260842.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.71 + 0.21. Which is the second biggest value? (a) -3 (b) -2 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*y + 60 = -203 + 3 for y.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 51024524 less than -9399?\nAnswer: -51033923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**3 - 1250*f**2 + 31256*f + 67496.\nAnswer: -2*(f - 26)*(f + 2)*(f + 649)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r*r**6*r\/r**2)**(-39) assuming r is positive.\nAnswer: r**(-273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*i**2 + 5*i - 5*i)*(-5*i**2 + 0 + i**2 - 1) to the form w*i**4 + o*i**3 + h*i + g + x*i**2 and give w.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 4 + 3*b**3 + (16 - 4 - 109)*(-2*b**3 + b**3 - b**3) in the form p*b**3 + u*b + o + m*b**2 and give p.\nAnswer: 197","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/109 or 1?\nAnswer: -4\/109","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-450)\/(-220))\/9*28\/35.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 591.34629 rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*x = -976 + 7776. What are the prime factors of x?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -4*(-8)\/(-20)*30\/(-3). Suppose -17*o + y = -9*o. Factor 8\/7*g**o + 0 - 2\/7*g**5 - 4\/7*g**4 + 6\/7*g**3 - 8\/7*g.\nAnswer: -2*g*(g - 1)**2*(g + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2 - 2)*(7 - 1 - 2)*(88*i + 42*i + 3*i).\nAnswer: 532*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 57 - 40. What is the remainder when i is divided by ((-14)\/(-3) - (-27)\/(162\/8)) + 5?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 - -25. Is 6 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 25346?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.2, 2\/5, -1, -0.153?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -12231031 (base 4) in base 15?\nAnswer: -8214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 74651\/2622 - (13 - 8990\/690)\nAnswer: 57\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27.5 rounded to 0 decimal places?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(2\/7))**(-5)*(((q**(1\/4)\/q*q*q)\/q)\/q*q)\/(q*(q\/(q\/(q\/(q**(1\/7)\/q)))*q)\/q))\/(((q\/q**(-6)*q)\/q)\/(q*q**(2\/25)))**(-3\/8) assuming q is positive.\nAnswer: q**(-4771\/700)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 77179057?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10399 - -10067. Is -324 less than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 24*g - 69*g + 58063815. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -6*r**2 + r**3 - 5 + 5*r - 2*r**3 + 3 - 6. Let w be u(-7). Solve 4*m = -i - 15, w = i - 3*i for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 10}. What is prob of sequence bbb?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k - k + 60. Suppose k = -2*y + 1. Is y greater than -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-1 + -1)*1)\/2. Let h(r) = -r**2 - r - 1. Let a(p) = -6*p**2 - 4*p - 4. Let f(m) = m + 7. Let g be f(-3). What is g*h(j) + i*a(j)?\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1141708232?\nAnswer: 2, 7, 2912521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Total of -29.2 and 0.7.\nAnswer: -28.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*o, 2*o + 24 = -7*y + 3*y. Let b(r) = -3*r - 23. Let l(t) = -2*t - 16. Let m(d) = 5*b(d) - 8*l(d). Calculate m(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.09 * -0.081\nAnswer: 0.00729","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -52286440*y + 7494375 wrt y?\nAnswer: -52286440","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b. Let y(u) be the first derivative of 323*u**2\/2 - 199. Give y(r(s)).\nAnswer: -323*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -38\/9 in -1\/4, 0, 0.04, 105, -10?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the second derivative of 13*l**3\/6 + 3*l**2 + l. List the prime factors of a(6).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 11, y: 1, m: 1}. What is prob of picking 4 q?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8511?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11211212 - -11?\nAnswer: 11212000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - 4*i = 18, 2*x - 2*i = 2*i + 16 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8 and 195112?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 44 - 43.7. What is the closest to -1\/11 in -0.1, u, 5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v*v**(2\/5)))\/v*v*v)**(-24)\/(v**(-29)*v**34) assuming v is positive.\nAnswer: v**(-97\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand m**3 - m**3 + m**4 + (0*m + 3*m - 2*m)*(-5*m**3 + 3*m**3 + 3*m**3) - 2*m**4 + 3*m**4 + 9*m**4 - 4*m**4 - 4*m + 4*m.\nAnswer: 8*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 3*r + r**2 - 1 + 3*r - 4*r. Let g be a(-3). Suppose g*h + 60 = 2*x, -1 = -2*h - 3. What is the remainder when x is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 4 (b) -1539 (c) -45 (d) -2\/11 (e) -1\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -47 - 49. Let l = t + 95.951. Let g = l + 0.0489838. What is g rounded to 6 decimal places?\nAnswer: -0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -3*d**3 + 3*d + 4. Let k(b) = 8*b**3 - b**2 - 10*b - 12. Let n(t) = -4*k(t) - 11*l(t). Let u be n(-2). Is -9\/5 > u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 61865*0.5.\nAnswer: 30932.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10544 and 106640.\nAnswer: 70275760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (12*v - v - v + 0*v + 3*v - 5*v + (-5 + 4 + 3)*(4*v - 4*v + 2*v))*(-3 - 1 + 3)*(5 + 1 - 3) to the form c*v + f and give c.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-5) - (6 + (-682)\/165)\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -518.\nAnswer: -1\/518","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -813 + 824. Put 2, x, -1, -5 in descending order.\nAnswer: x, 2, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2.5 + -2. Let b = -3103 - -3102.8. What is the nearest to -0.3 in -2, c, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -37 - -35.5. Let o = 1.7 + i. What is the smallest value in 2, o, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -66, -98, -138, -192, -266, -366?\n\"Answer: -t**3 + 2*t**2 - 31*t - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*z**5 - 3*z**5 + 0*z**5)*(199 - 29 - 7).\nAnswer: 163*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**2 + 23*x + 272. What is h(30)?\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*o - 44*o + 26*o.\nAnswer: 11*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -9 + 7*k**4 - 6*k**4 + 15 - 6*k**2 wrt k?\nAnswer: 4*k**3 - 12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.75 - 31.129703.\nAnswer: -32.879703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 14*f - 5. What is b(-5)?\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -46*n**2 + 9*n - 3. Let o(a) = a**2 + a - 2. Let x(c) = f(c) + o(c). Let y(t) = 2*t**2 + 1. Let i(s) = x(s) + 5*y(s). Factor i(d).\nAnswer: -5*d*(7*d - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15520 and 160.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 33 - 14. Let y be (-3 + (-3)\/(-3))*(-76)\/8. Suppose y*v = -4*v + 253. Calculate the remainder when p is divided by v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + -10 + (6 - 2).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 539110 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**3 - 28*x**2 + 26*x - 84. Let g be p(-29). Solve g*h - 21 = 10*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2610565?\nAnswer: 5, 522113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2001 is divided by 154.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**3 + 4*r**2 + r - 2. Let d(o) = -o - 4. Let m(z) = -z**3 + 7*z**2 - 7*z. Let c be m(6). Let n be d(c). Calculate u(n).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1717 is divided by 537.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**2\/3 + 2984822*n - 6681871778763.\nAnswer: -(n - 4477233)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:19 AM and 1:40 PM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 19 + 6 + -4 - 40 - (-14 + -2).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 400.8 + -2.8. Let j = s - 397.99994. Round j to 4 dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/(-3)*(-2)\/(-6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*r**3 + 5031*r**2\/5 + 4503*r\/5 - 423\/5 = 0. What is r?\nAnswer: -47, -1, 3\/35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/((p*p**(-1))\/p*p*p)*p)**28*(p\/(p**(-2\/7)*p))**27)\/((((p\/p**(-8))\/p)\/p**(5\/3))\/((p**(-1\/7)*p*p)\/((p**7*p)\/p))) assuming p is positive.\nAnswer: p**(509\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 26834831 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/(-14)*4\/(-6))\/((-313)\/(-49767))?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 1 s when three letters picked without replacement from rsrrsmrbssoosrrmbdom.\nAnswer: 5\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**2 + 24 + 2*d**2 + 11*d + 21 - 40. Determine u(-8).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25 + -12 - 9 - (-1 + 8)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*u + 12 = -12*u. Suppose 2*m + u - 12 = 0. Suppose 0 = m*f - 5*f - 16. Is -8 < f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -692 + 696. Which is the closest to -0.03? (a) -4\/5 (b) r (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express o - 2*o**2 + 3*o + 3*o**3 - 5*o**3 - 5 + 2 + 2*o**4 in the form m + l*o**4 + f*o**3 + x*o**2 + p*o and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 992267, 1984515, 2976761, 3969005, 4961247, 5953487?\nAnswer: 6945725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 1 = j, 5*j - 5*t = -9*t + 11. Let y(r) = 25*r**2 + 3*r - 3. Let d(x) = -1675*x**2 - 200*x + 200. What is j*d(c) + 200*y(c)?\nAnswer: -25*c**2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10407.\nAnswer: 3, 3469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange z**3 + 3*z - 3*z + (-z - z**3 + z)*(-13 - 4 + 4) - 366 + 4*z**3 + 366 to the form o*z**2 + m + f*z**3 + n*z and give f.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8*2\/(-32)*1 - 10750\/(-4) is divided by 27.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 16, -3*f = -6*i + i + 20. Let h be (-2 - (1 - f)) + 3. Calculate the common denominator of -55\/6 and h + 0 + (-72)\/(-33).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -6\/23 (b) -1387\/5 (c) 25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 96 + -1?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -14040 (base 7) to base 15\nAnswer: -11d6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of d*x**3 + 43421*d*x + 7*d + 629655*x**2 - x wrt x?\nAnswer: 6*d*x + 1259310","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7573?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -611.97 - -609. Let z = 0.07 + l. Let x = z - -3. Is x less than 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 71174 divided by -240\nAnswer: -35587\/120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-2))\/(14*(-14)\/4018)?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(363)\/(sqrt(11) - 1*sqrt(396)))\/(-2*-3*sqrt(11)*-1)*-5 + 4)**2.\nAnswer: -4*sqrt(3)\/3 + 193\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add 106776.82721 and 96.\nAnswer: 106872.82721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 14, 39, 76, 131, 210?\n\"Answer: d**3 + 18*d - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11 - (-17 - -3))*(-1)\/(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 47*n**2 - 6*n + 63. Let z be o(5). Let x = -768 + z. What is the hundreds digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and 10821355.\nAnswer: 21642710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((-107)\/(23112\/6))?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 238504682465709 + -0.2.\nAnswer: 238504682465708.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from {k: 2, v: 1, t: 4, s: 2, a: 1}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 297796 = 71*i + 4*i + 294646 for i.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**0)**(-9\/7)*p**(1\/2)\/p*p*p*(p*p**(-2\/17)*p*p)\/p*((p**(2\/7))**25)**22 assuming p is positive.\nAnswer: p**(38205\/238)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 2*m**3 - 21*m**2 + 8*m. Give f(10).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1046\/3 - -350. Let b = 0.3 + -0.3. Let u = b + 0. What is the closest to u in 0.3, p, -2\/5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 142\/(-71)*29\/(116\/(-40)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-three fifths of a tonne in kilograms?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.6, 0, 1\/9, -2\/81, 2\/3?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 6*l**2 + 2*l - 5. Suppose 15 = -2*y + 5, y + 21 = 4*t. Let b(h) = -55*h**2 - 4 + 185*h**2 - 56*h**2 + 0*h + 2*h - 69*h**2. What is t*b(f) - 3*q(f)?\nAnswer: 2*f**2 + 2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 4*j = -1452, 0 = -3*g - 4*j + j + 1431. Suppose 6*r = -14*r + g. Solve 0 = -3*x + 5*d - 41 + 9, -5*x + d - r = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3 or 119\/48?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35064 - 29*g**2 - 35088 - 35053 + 105205.\nAnswer: -29*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(-2\/3))**(-39))**32)**(3\/31) assuming c is positive.\nAnswer: c**(2496\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.1 (b) -10 (c) 15\/7 (d) 1 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 + (0\/(-1))\/3. Let f = 15 - 11. Solve j*p**2 - 3*p - p**2 + f*p = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 433159?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 2588 divide 40082944?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 730 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: What is the nearest to -4.08 in 0, 1, 1\/12, -0.7, -0.5?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -45, -87, -129, -171?\n\"Answer: -42*w - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 22196355 to the nearest integer?\nAnswer: 281","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-979 - -992) + (0 - 3) + 31 + -1.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -84*x**3 - x**2 + 2*x - 2. Let g be i(1). Let r = 89 + g. Factor -7\/2*u**5 + 0 - u**2 - 11\/2*u**3 - 8*u**r + 0*u.\nAnswer: -u**2*(u + 1)**2*(7*u + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 6, 13, 24, 39, 58?\n\"Answer: 2*t**2 + t + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6176, -6163, -6150, -6137?\nAnswer: -6124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1008778 (base 12) to base 4\nAnswer: -23130221030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19387658?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -2 + (10240 - (-4 - -4))?\nAnswer: 2, 5119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -2*p - 6. Let b be o(-5). Let h be ((-24)\/b)\/2*(58 - 0). Round h to the nearest ten.\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 5835 = -5*y, 2*p - 4*y = -3*p + 5790. Suppose -30*x = -32*x + p. What are the prime factors of x?\nAnswer: 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i, 6*d + 5*i - 10 = d. Solve d*t = -5 + 1 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14948673.\nAnswer: 3, 601, 8291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**3 + c**2 - 6*c. Let f(n) = -4*n**3 - 8*n**2 + 176*n + 1. Calculate -f(q) - 5*s(q).\nAnswer: -q**3 + 3*q**2 - 146*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2678024564?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**2 + 8*y - 3. Let a be c(7). Suppose 10 = s - a. Suppose -4*k + 2*k + s = 0. Solve -k*f = -2*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 324*u**5 - 175*u**5 + u**3 - 176*u**5 + 29*u**2 wrt u?\nAnswer: -1620*u**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11 - -15. Let c = -57 + 83. Let i be (54\/72)\/((-1)\/(260\/(-15))). Solve -z + i = -y*u, c - 4 = -4*u - 2*z for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3335 + 6725. Calculate the remainder when 6785 is divided by p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 - 4. Let t = 438 + -434. Let n be 4*r*t\/(-8). Solve -y - n = -2 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 169560311 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 560 and 2200?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 11290200 times 2?\nAnswer: 22580400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4394274 and 1234.\nAnswer: 1234","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (133\/42)\/(1\/(-8)*((-468)\/54)\/26)\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from zwvwzvvz.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 2*j - 5 = -3*j, 4*v + j = 15. Suppose v*p + 0*p + 110 = 0. Calculate the common denominator of -2 + -3*p\/5 and -2\/7.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 196 divided by -28\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5239611 to the nearest integer?\nAnswer: 2289","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -2*w + 3. Suppose 35 = 5*a + 5*z, -6*z + 3*z = 4*a - 26. Let y(j) = -j - 2 + a*j + 1 - 3*j. Determine -c(m) - 3*y(m).\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 29 = 209. Suppose c = 7*w + 10. Suppose -w*t = 3*j - 2*j - 3, -8 = 4*j. Solve 3 = -4*k - t for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -193*t**2 + 57 + 11 + 68. Let y(v) = -196*v**2 + 135. Let h(a) = 6*s(a) - 5*y(a). What is the derivative of h(r) wrt r?\nAnswer: -356*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 2301*x + 2. Let q be u(-2). Does 10 divide (q\/12)\/(-5) + 2\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -12*p**2 - 46*p + 20. Give a(-4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -2*s. Let g(r) be the first derivative of 1\/2*r**2 + 0*r - 5. Give c(g(d)).\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -163265 from -0.5116271.\nAnswer: 163264.4883729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 - -8. Suppose -3*o - i - y*i - 14 = 0, 0 = 4*o - i + 44. What is the units digit of 24\/(-20)*o\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 372, 373, 374, 375, 376, 377?\n\"Answer: w + 371","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*s + 6*s + s)*(29*s + 67 - 67) + 0*s**2 + 0*s**2 - s**2 as g + i*s**2 + y*s and give i.\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-7205 + -7 - 2)*3\/(-2). Suppose n + 70480 = 11*t. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 247 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -313 - -532. Let r = a - 77. Round r to the nearest ten.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64*f**3 - 66*f**3 + f - f.\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -48149a (base 12) to base 7.\nAnswer: -12614350","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**3 + s**2 - 9*s - 4. Let z be p(-3). Suppose 0 = 2*m + 5*y - 47, 4*y - z = -y. Calculate the remainder when m is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**2. Let i(q) = 136496306*q**2. Give i(o(k)).\nAnswer: 136496306*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lllbd. Give prob of sequence ll.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -13*y + 8. Let j(c) = 10*c - 8. Let d(q) = -4*j(q) - 3*o(q). Let i(t) = 2*t - 9. What is 3*d(k) + 2*i(k)?\nAnswer: k + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 44275794 and 54?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/6)\/(2\/30). Let b = 0.37 - 0.45. Let t = b - -0.48. Sort t, -2\/13, v.\nAnswer: v, -2\/13, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + 6.13?\nAnswer: -1.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1223201020 - 0?\nAnswer: 1223201020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4409, -4371, -4307, -4217?\nAnswer: -4101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1101100001111110 (base 2) to base 16.\nAnswer: d87e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 4, 0*y = -n + 3*y + 68. Suppose -32*k + n = -30*k. Calculate the lowest common multiple of 4 and k.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**2 + v + 27. Suppose 0 = 5*o + 7 + 13. Let k be (-4 - -10) + -2 + o. What is the tens digit of m(k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 3*d - 2. Suppose -c + 2*q = -d, 0 = -3*q - q + 8. Does 5 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1028*x**4 + 1005*x**3 - 893846*x**2 - 94*x.\nAnswer: 24672*x + 6030","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the second derivative of 4777*d**4\/12 + 4620*d**2 + 9490*d. Differentiate k(l) with respect to l.\nAnswer: 9554*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -25*h**2 + 807*h + 7. Let u be z(30). What is the greatest common factor of 17 and u?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2469516, -9878078, -22225686, -39512340?\nAnswer: -61738040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 240 = 6*q - 5*u, -197 = -4*q + 3*u. What is the remainder when 128 is divided by q?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12997005 to the power of 1\/3, to the nearest integer?\nAnswer: 235","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -817 divided by -43.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*v**2 - 3*v**2 - 4*v**2 + (-2*v + 2*v - v)*(0 - v + 0) + 433*v**2 - 16*v - 226*v**2 - 224*v**2 in the form h + z*v**2 + u*v and give u.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes after 1:50 PM?\nAnswer: 9:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 84 and 1992?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 6, 23, 58, 117, 206, 331, 498?\n\"Answer: i**3 + 3*i**2 + i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -4510031 (base 10) to base 4\nAnswer: -101031011033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 6 = 2*r - 10, r + 9 = 4*o. What is the closest to 16 in r, 0.4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 2*b + 8. Let u = -30 + 30. Which is smaller: b or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2883 - 2879. Find b, given that -2*b**3 - 1 + 2*b**r + 5\/2*b - b**2 - 1\/2*b**5 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3489?\nAnswer: 3, 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*j**2 + j**2 - 2*j**2)*(-3*j**2 + j**2 + 0*j**2 + j**2 + 2*j**2 - j**2 + (j + 2 - 2)*(-2*j + j + 2*j)).\nAnswer: 5*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bovoiiuvimviioibii. What is prob of picking 2 b, 1 u, and 1 m?\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*b + 54 = -2 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**3 - k**2 + 2*k - 1. Let x be 2\/(-8)*52\/(-13). Let c be q(x). Let p = 9 + c. Solve -d + p = -0*d + 4*l, 11 = 2*d + 5*l for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*f**2\/7 - 12*f\/7 = 0 for f.\nAnswer: -6\/29, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 395874?\nAnswer: 2, 3, 7331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -529 - -530. Suppose -2*j = -6*j. Suppose j*b + b = -k. Which is greater: 1\/53 or b?\nAnswer: 1\/53","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -b0 + -8132a?\nAnswer: -8140a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 22604383 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 908836601*x**2 - 2*x - 110513352 wrt x.\nAnswer: 1817673202","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**3 + 2*k**2 + 4*k. Calculate z(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*z**5 - 3*z**3 + z**5 + 5*z**3 + (-2*z**2 + 2*z**2 + z**5)*(2 + 0 - 1) + z**5 - 5*z**5 - 11*z**5.\nAnswer: -16*z**5 + 2*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 20*i**2 - 44*i**2 + 4*i**3 + 22*i**2 + 50*i as q + p*i**3 + f*i**2 + s*i and give p.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -6*j**2 + 16*j + 103. What is u(0)?\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -546 or -0.1?\nAnswer: -546","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the third derivative of -i**8\/84 + 7*i**5\/60 - 3*i**2. What is the third derivative of t(j) wrt j?\nAnswer: -240*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3487 and 160085.\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.241*-18533\nAnswer: -4466.453","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -65*b**3 - 66*b**3 + 197*b**3 - 68*b**3 + 53*b + 76 - 75 - 4*b**2 as p*b**2 + c + x*b**3 + z*b and give z.\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 367a1 + -4?\nAnswer: 36799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 427 - 262. Let g be (10\/14 - 1) + 2\/7. Suppose 9*u - 8*u - 62 = 4*o, g = -2*u + 4*o + 104. What is the remainder when t is divided by u?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 + 2581053?\nAnswer: 2581056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17 (base 14) to base 8.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -2596, -4\/9, -0.3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**2 - 4*b - 3. Let j be (21\/(-6))\/(3\/6). Give c(j).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.1 (b) -0.5 (c) -19 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*68682429.\nAnswer: -343412145","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add 2541884135 and 5004.\nAnswer: 2541889139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vyv when three letters picked without replacement from {s: 2, p: 2, v: 10, i: 3, y: 2}.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m*m*m\/m**(1\/4)*m)\/m*m)**(1\/5)\/(m**(2\/3)\/m*m*m**3*m) assuming m is positive.\nAnswer: m**(-223\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 324*n. Let f(b) = -b. Give i(f(d)).\nAnswer: -324*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 52*c**3 - 22*c**2 + 19*c - 23. Let o be z(11). Suppose -4*h + o = 2*s + 226924, 3*h - 80109 = s. What is s rounded to the nearest 10000?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 102 a factor of 132384576?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 27081717?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.83? (a) 3\/7 (b) -1\/7 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 706115 to the nearest integer?\nAnswer: 840","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/2560 and 127\/1400?\nAnswer: 89600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -3*t. Let s(f) = -3*f. Let x = -3 + 5. Let g(z) = x*j(z) - 3*s(z). Let u(v) = 5*v. Let b(q) = -4*q. Let d(i) = -6*b(i) - 5*u(i). What is g(d(p))?\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10010000010110000 - -11?\nAnswer: -10010000010101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2892 - -2849 - (-35 - 1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 470, 471, 466, 455, 438, 415?\n\"Answer: -3*k**2 + 10*k + 463","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 g, and 1 z when three letters picked without replacement from {z: 2, g: 2, x: 5}.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -2\/29 (b) -0.05 (c) -7 (d) -2\/13 (e) 3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 32, -1641, -5 in descending order.\nAnswer: 32, -5, -1641","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 6417, 25770, 58023, 103176, 161229, 232182, 316035?\n\"Answer: 6450*f**2 + 3*f - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 505 is divided by 249?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the first derivative of -1867*z**4\/4 + 413*z**3 - 2044. What is the third derivative of j(f) wrt f?\nAnswer: -11202","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.04 - -0.34. What is the second biggest value in -0.3, -15, c, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1632 and 221?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000001223989 to seven decimal places.\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 + -13. Which is the second biggest value? (a) l (b) 3 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the second derivative of -7\/144*r**4 + 1 + 11\/72*r**3 + 1\/4*r**2 + 7*r. Factor c(o).\nAnswer: -(o - 2)*(7*o + 3)\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the first derivative of -686*l**3\/3 + 411*l**2\/2 + 1297. What is the second derivative of w(x) wrt x?\nAnswer: -1372","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 12.5, -0.5 in decreasing order.\nAnswer: 12.5, -0.5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1556810921\/756 + -2059274. Let x = j + 1\/108. Put -2, -2\/17, x in descending order.\nAnswer: -2\/17, x, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.839095 years in centuries?\nAnswer: 0.08839095","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 602875 divided by 175.\nAnswer: 3445","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -178 + 3 = -5*o. Suppose 70 = 5*a + 4*i, a = -i - 3*i + 14. Calculate the greatest common divisor of o and a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in four thirds of a millennium?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -68, -138, -208, -278, -348, -418?\nAnswer: -488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = 3*a - 8*a - 140, 0 = 2*d + 5*a - 42. Suppose -22*k - 20 = -d*k. Solve 3*n - k = 4*s - 5*s, 3*s = 3*n + 3 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a century in months?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jv when two letters picked without replacement from {m: 4, j: 1, v: 1, x: 3, z: 4}?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -10*h**5 - 4*h**4 - 8*h**3 - 4*h**2 + 2*h - 8. Let f(w) = -w**5 - w**4 - w**3 - 1. Let c(k) = 8*f(k) - i(k). Let c(p) = 0. Calculate p.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1053) + -4*sqrt(1053)*-1 + 6*(sqrt(1053) + sqrt(1053) + -2))*-5 + 6*-1*(-1 + (sqrt(1053) - sqrt(1053)*2)))**2.\nAnswer: -93852*sqrt(13) + 6576129","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**3 - 7*a**2 - 14*a - 10. Let i be f(9). Let d be (-32)\/(-15) - i\/195. What is x in 29*x - 14 - 9*x + 4*x**d + 14 = 0?\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 692594 and 7.\nAnswer: 692594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 34 - 29. Suppose -3 = -3*t - 5*a + 5, -k*t = 5*a. Is (122 - 9) + t\/1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -88 + 2*h + 88. What is i(-4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -37565054, -75130115, -112695176, -150260237?\n\"Answer: -37565061*j + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*r - 16 = -12*r - 2*x, 0 = -r + 6*x - 13 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 13\/((-65)\/10) - 39\/13. Sort t, 43, -2 in ascending order.\nAnswer: t, -2, 43","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 289148 to the nearest integer?\nAnswer: 538","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - 1 - (-11 + 20 + -7 + 3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 151*f - 1. Suppose 2*v + 8 = -3*v + 4*w, 0 = 4*v + 4*w + 28. Let d be v\/(-7)*21\/6. Is j(d) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 62\/5 and 11 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1346*u - 3709 = 55*u - 25656 for u.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -28*q + 12*q**2 + 8*q**3 - 21*q**2 + 18*q**2 + 6 + 5*q**2 = 0.\nAnswer: -3, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 0*o = -5*o + 21, -g + o + 7 = 0. Let j be (-3)\/(-1*1\/g). Solve -4*x = 4 - j for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -20 + 51. Suppose -4180 = -41*q + o*q. What are the prime factors of q?\nAnswer: 2, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1024 + -992. Solve 28*r = 44*r - k for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 2*l**2 - 43*l - 864. Calculate d(36).\nAnswer: 180","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 791654019, 791654021, 791654023, 791654025?\n\"Answer: 2*x + 791654017","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 + 9. Suppose 0 = -2*l + v*l - 5*t + 24, 0 = 5*t - 20. Let u(h) = -h**3 - h**2 - 2*h - 1. Let a be u(l). Which is greater: 2 or a?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36101 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -45.7405 rounded to one decimal place?\nAnswer: -45.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the third derivative of 81*o**6\/40 + 45*o**5\/16 + 13*o**4\/8 + o**3\/2 - 15*o**2. Factor n(f).\nAnswer: 3*(4*f + 1)*(9*f + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14*-12*(-11)\/(-231)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 2*(-2 + 1 + sqrt(2)).\nAnswer: -7 + 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -6*h**3 - h**2 + 1. Let v be o(-1). Let l be ((-8)\/12)\/(4\/v). Let w = 6 + 0. Which is the third biggest value? (a) l (b) 0.3 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes before 10:23 AM?\nAnswer: 6:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 - 369.\nAnswer: -373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*r + 0 + 4\/7*r**4 + 0*r**3 - 4\/7*r**2.\nAnswer: 4*r**2*(r - 1)*(r + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 24762 by -12381.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 5856.979 decades?\nAnswer: 58.56979","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 - 2432?\nAnswer: -2433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1021 and 4012.\nAnswer: 4096252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 6948819 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -23331868 - -10392.486?\nAnswer: -23321475.514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-4 + sqrt(15)\/sqrt(5) + 1))**2 + (2 + sqrt(3) + 1 - (-1 + sqrt(12)\/sqrt(4)))**2.\nAnswer: -54*sqrt(3) + 124","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:07 AM and 6:27 AM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -8\/61, 0.0628, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the third derivative of 19*p**7\/2520 - p**6\/40 - p**5\/120 + p**4\/12 - 3*p**3 - 24*p**2 - 1. Let h(z) be the second derivative of g(z). Factor h(a).\nAnswer: (a - 1)*(19*a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2400 + -1662?\nAnswer: 738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**10*z\/(z*z*(z\/(z**(-1\/5)*z*z))\/z*z)*(z*z\/z**(4\/9))\/(z\/z**(3\/7)))**(-1\/30) assuming z is positive.\nAnswer: z**(-3397\/9450)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kop when three letters picked without replacement from kkpppkkkkkoppokk?\nAnswer: 3\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + l + 0 + (-3 + 1 + 4)*(-4 + l + 4) - 4*l - l + 6*l + 3*l - 3*l - l - 4529*l + 25390 - 25390.\nAnswer: -4526*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 5400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = 43 - 231. Let y = 22 + o. Is y a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 3*t + 32 = 0, 2*t + 18 = 4*o + 50. Let y be -8*(-1)\/o*1. Which is the second smallest value? (a) -4 (b) 3 (c) -3 (d) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -100 (base 2) in base 8?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6244a8 - -1?\nAnswer: -6244a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -6*y**2. Suppose 0 = -191*l + 170 + 212. Let b(o) = -o**2. Calculate l*m(z) + 12*b(z).\nAnswer: -24*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00025 rounded to 3 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 9*q**3 + q**3 - 2*q**2 - q**4 + 5*q - q**2 - 17*q**3 + 2*q**3 + 4 = 0.\nAnswer: -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(396) - (sqrt(396)*1 + sqrt(396))))*2*-2*4 + 3.\nAnswer: 19 + 96*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12 - 9. Let c be l + (-5 + 2 - -1). Suppose 3*h - 14 = -5*a - 1, h + 3*a = -c. What is the highest common divisor of h and 88?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -171*14\/(-35)*(-45)\/(-729)\nAnswer: 38\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 5 - 5*z)*(0 - 28 + 16)*(1 + 0 + 0) to a + v*z and give v.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i**3 + 7470*i**2 - 2*i - 7470 = 0.\nAnswer: -3735, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -492, 5, -3 in decreasing order.\nAnswer: 5, -3, -492","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 85 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 210122002 (base 3) to base 6.\nAnswer: 201002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -9.24 and 385608?\nAnswer: -3563017.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 3, 0.5, 10.41804, -1, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the second derivative of 0 + 0*b**3 + 0*b**2 + 1\/4*b**5 + 1\/12*b**4 - 9*b. Give v(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 108140 + 3927 = -4*a, -34737 = -g - 2*a. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.24 + 12.24. Let a = -12.5 + r. Put -1, 0.5, a in descending order.\nAnswer: 0.5, a, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 4*p - 6 = 0. Suppose -x = -p*x + 25. Solve 7*s = 2*s + x for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x - z - 235, -2*z = 4*x - 7*z + 958. Let t = x + 560. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4083532?\nAnswer: 2, 131, 7793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-24 - (2 + -130 - -31)) + 38\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -3*i**3 + 7*i**2 - 7*i + 3. Let j(u) = 2*u**3 - 4*u**2 + 4*u - 1. Let w(m) = -7*j(m) - 4*n(m). What is the derivative of w(s) wrt s?\nAnswer: -6*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*z - 90821 = 13*z + d, -8 = 4*d. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33319582 to the power of 1\/5, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 2*c - 1, c = -0*c - r + 1. Let x = 11 + -27. Let p = x - -19. Solve -p*v = -c*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-68)\/(-3))\/1*69\/46. Suppose 0 = 7*t - a - 8. Find the third derivative of 14*c**2 + 3*c**2 - 3*c**6 - 7*c**t wrt c.\nAnswer: -1200*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*b**4 + 11*b**3 + 166 wrt b?\nAnswer: 16*b**3 + 33*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0\/(-2)*3\/(-9). Factor 4*x**2 - 17*x + a + x + 2*x**3 - 16 + 8*x.\nAnswer: 2*(x - 2)*(x + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -8*l*m**2 + 2*l*m - 739*l - 4*m**2 - 42*m + 4 wrt m?\nAnswer: -16*l*m + 2*l - 8*m - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 less than 0.92810514155?\nAnswer: -2.07189485845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 199 by 4.\nAnswer: 199\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -1290 greater than or equal to -5159\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 - 2001021110022?\nAnswer: -2001021110022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (92\/(-6))\/(12\/18). Let f = 367\/18 - -28\/9. Let r = f + s. Which is the biggest value? (a) -1\/6 (b) r (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 14037 - 47?\nAnswer: 13bb0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-8)\/(-28) - 162\/(-21). Suppose -38 = -2*r - f. Let h = -5 + r. Is h a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5 - (-1 + 5) - 5530\/4440 and 9\/10?\nAnswer: 2220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36\/(-10)*(34\/(-6) + 4).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22 - 13 - 9 + 526*y + 491*y - 1053*y.\nAnswer: -36*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(612) + (-3*-1*sqrt(612))**2 + (2 + sqrt(612))*5.\nAnswer: 36*sqrt(17) + 5518","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*31.8\nAnswer: -12.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -90 - -150. Let m be -2 + 31 + -3 + 3. Suppose 5*k - m = 71. Calculate the highest common factor of d and k.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -48, -114, -180?\nAnswer: -246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -47224 divided by 6.\nAnswer: -23612\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -101200020100 + 0?\nAnswer: -101200020100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2596447512?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/8 + (-1)\/(-4). Let n = -2\/121 - 109\/726. Let p = 27.584 - 23.584. What is the biggest value in p, r, n?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 - -100001100010111001111011?\nAnswer: 100001100010111001111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -27162 - -48505. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2042163 rounded to 4 dps?\nAnswer: -0.2042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**2 - 15*r + 17. Let i be y(14). Suppose -6 = 4*c + z - 9, i*c + 3*z = -9. Solve 2*b + 5*f + 40 = -2*b, -b - c*f - 13 = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 35\/(-77)*(-4)\/10. Let h = -9918 - -29756\/3. What is the second biggest value in h, n, -0.5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 2*l**2 + 22*l - 288. Let s be b(8). Solve -6 = 2*g + i, 0*i = -4*g - 4*i - s for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-2\/9)*k*k)**21\/(k**(1\/2)\/(((k**(2\/13)*k)\/k)\/k)) assuming k is positive.\nAnswer: k**(4445\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-22)\/(-6) - 16\/24. Solve -2*f + u*f + 5 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 208 and 182?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -28 - -24. Which is the nearest to -0.1? (a) 0.1 (b) d (c) -6\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 2 + 3)*(136 + 8*x - 136) to z + n*x and give n.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -52715*m + 9541418. What is u(181)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**2 - 5 + x + 0*x**2 - 3*x. Let d be h(5). Let m be 69\/(-1 + 2) - -1. What is the greatest common factor of m and d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 6*z - 4*z. Calculate the smallest common multiple of ((-12)\/10)\/(3\/z) and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3744 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(44)\/(sqrt(242)*-3))\/((sqrt(504)*-3)\/sqrt(7)).\nAnswer: sqrt(11)\/594","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1\/(10\/272))\/((-32)\/(-80)). Let q = -38 + b. Does 2 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*x**5 - 18629*x**4 - 4*x**3 + 10*x + 20179 wrt x?\nAnswer: 40*x**3 - 223548*x**2 - 24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1, 6, 17, 32, 51, 74, 101?\n\"Answer: 2*h**2 + h - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 369631?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 36160590?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16895)\/109 + 154)\/(2\/70)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-26*k + 54*k - 43*k)*(2 + 3 - 2)*(-5 + 1 + 7 + (3 + 1 - 2)*(-3 + 2 + 3)) in the form h + i*k and give i.\nAnswer: -315","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -2510*u**2 + 17580*u - 30. Determine n(7).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p + 2. Let w(h) = -h + 2. Let k be w(-2). Let v = 6 + 10. Let x(o) = 0*o - 5*o + v - 7. Determine k*x(g) - 18*j(g).\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 53019, 53187, 53469, 53865?\nAnswer: 54375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -5*n**3 + 14*n**2 + 25. Let k(l) = 11*l**3 - 23*l**2 - 49. Calculate -3*k(d) - 5*r(d).\nAnswer: -8*d**3 - d**2 + 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*u**4 + 2*u**4 - 12*u**4 + (-u**2 + 0*u**2 + 0*u**2)*(3 - u**2 - 3) in the form f*u + a*u**2 + x + b*u**3 + c*u**4 and give c.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 2*c - 354. Suppose -2*o + c = -110. List the prime factors of o\/8 - (-11)\/(-44).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 10100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 47.61613 centuries?\nAnswer: 57139.356","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = 5*h - 22, -h = -5*p + 14 + 4. Let l be 32 + (-1 - (-5 + h)). Let i = -24 + l. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - -4 - (-1 + 12).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -55*j**2 + 12*j - 30*j - 33*j + 42*j to c + m*j**2 + v*j and give v.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 867, 825, 747, 633, 483, 297?\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/(-147))\/((-36)\/(-28))\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 16*h**2 - 94*h - 11. Calculate r(8).\nAnswer: 261","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 71*g*h**3 - 95*g*h**2 + 2*g*h - 2*h**3 + 2*h**2 wrt h?\nAnswer: 426*g - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.04, 0.09, -0.2, -2\/11, -500?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 58, 162, 338, 592, 930, 1358, 1882?\n\"Answer: n**3 + 30*n**2 + 7*n + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v - 10. Let q be w(-9). Let p(g) = g**2 - g + 1. Let y(d) be the second derivative of 7*d**4\/6 - 2*d**3\/3 + 2*d**2 + 5*d. Determine q*y(h) + 4*p(h).\nAnswer: -10*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/8*0\/51?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -10.35+-126459\nAnswer: -126469.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 12*t**2 - 61*t + 46. Determine x(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) -0.8 (c) -0.5 (d) 1\/8 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 72 - -33. What are the prime factors of f?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 4*g**2. Let i(f) = -2373*f + 20. Let v(p) = 30852*p - 270. Let o(d) = -27*i(d) - 2*v(d). Calculate o(a(z)).\nAnswer: 9468*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -k*s*t*u**2 + 14667*k*t*u**3 - 3*k*u**2 - 3*s*t*u**3 + 26031*s*t - 10*u**3 wrt s.\nAnswer: -k*t*u**2 - 3*t*u**3 + 26031*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33957*o - 33959*o + 68099*o.\nAnswer: 183*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -391 - -411. Calculate the remainder when 48 is divided by d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 4*k + 188 = 0, 7*k + 52 = i + 3*k. Calculate the greatest common divisor of 16 and i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**3 - 15*i**2 - 19*i + 46. Let a be f(16). Calculate the common denominator of 41\/15 and (-2424)\/(-360) + a\/3.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -19 + 28. Let w be (2\/6)\/((-3)\/a). Is (w - (50 + 2))\/(-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1398861.\nAnswer: 3, 47, 3307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = b + 807, 3*x + 5*b + 498 - 27 = 0. Let w = 338 + -336. What is the second biggest value in w, -5, x?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*n + n - n - n.\nAnswer: 5*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -123 in -1, 4, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**2 - 2721*g + 1154790.\nAnswer: -3*(g - 315)*(g + 1222)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -60*-0.47.\nAnswer: 28.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-8))\/((117\/13)\/(-36))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 158 is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*f = -17*f + 4. Let j be (f\/(-154))\/((-48)\/(-84)). Put j, 2\/13, 0 in decreasing order.\nAnswer: 2\/13, j, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 86 divided by -71176.\nAnswer: -43\/35588","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.29 times -0.3?\nAnswer: 0.387","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand c**2 + 0 + 0 + (c + 0*c + c)*(-2*c + 2*c - 2*c) - c**2 - 2*c + 2*c + (0*c + c - 3*c)*(-2 - 2*c + 2) - c**2 + 0 + 0 - 3*c - 4*c**2 + 3*c.\nAnswer: -5*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19204?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the first derivative of -1\/3*t**3 + 3\/2*t**2 - 6*t + 13. Let h(p) be the first derivative of o(p). Give h(6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 18\/(-16) + (-1)\/(-8). Let v(l) = -8*l - 1. Let s(z) = -9*z - 1. Let u(o) = 2*s(o) - 3*v(o). Let y(h) = 1. Let d(i) = p*u(i) + 2*y(i). Give d(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9477 + 22016. What is the tens digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.44 to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -15*j + 752. Let a(p) = 2*p**2 + 3. What is l(a(w))?\nAnswer: -30*w**2 + 707","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 2076 = -9*r. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/((c\/((c*c**(-1\/8))\/c))\/c)*c*c\/c**(-2))**(4\/29)*((((c*c*c**7*c)\/c)\/c)\/c**(-5))\/(c*c**(-1)*c*c\/c**2) assuming c is positive.\nAnswer: c**(793\/58)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 4*w = 494, 998 = 3*k - 3*w - 529. Let u = -330 + k. Calculate the greatest common factor of 22 and u.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*b - 5533 = 26345. Is 24 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 12 = -0*s. Suppose -4*i = -s*i. Suppose i = 3*b - 3 + 6. Is 0 >= b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2 (b) 0 (c) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1202 (base 3) to base 12\nAnswer: -3b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -166245 divided by 33249?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/31 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.3 - -0.2. Let r = 834 + -1618. Let f = r - -785. Which is the closest to p? (a) f (b) 6 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9804 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 164*r = 144*r + 32440. What are the prime factors of r?\nAnswer: 2, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -6 - (12 + -23 + -13).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 2 = -4*k + q, 0 = -2*k + 5*q + 6. Let u = 411\/4130 - -1\/2065. Which is the third smallest value? (a) u (b) k (c) 2 (d) 1\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49926743 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, l: 3, b: 5, e: 7}. Give prob of picking 2 b.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 58.8, 7 in increasing order.\nAnswer: -0.2, 7, 58.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(320)\/(sqrt(128)*2))\/((1*sqrt(1152) - sqrt(1152) - sqrt(1152)) + sqrt(72) + sqrt(72) + sqrt(72)*1))**2.\nAnswer: -5\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - -5 - (-23 - -24) - 14?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 3*w - 33. Give o(14).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 128024.\nAnswer: 2, 13, 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -23*p**2 - 8*p**2 + 9*p**2 + (1 - 3 + 3)*(2*p**2 + p**2 - p**2) + (2 + 1 - 2)*(p**2 - 3 + 3) to y + w*p + n*p**2 and give n.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 4329682 divided by 15086\nAnswer: 287","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*v - 5*n = -13*v + 20, -v - 20*n = 125 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 1871 (b) 0.1 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11639130 and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 5*j - 160. Calculate the common denominator of -51\/14 and 6\/(-10) + (-442)\/j.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1.5623, -4, 1.1?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.4, 1\/6, 76, -15832?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9210 and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -7997, -12 in descending order.\nAnswer: 2, -12, -7997","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 6*(252\/(-40))\/(-9) + -4\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 57*n**2 - 2261*n + 1544. Determine c(39).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-418)\/(-55))\/(-19) + (2 - (-12)\/(-20))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 36\/315*(-56)\/(-3). Let a = -7\/3 + j. Let k = 3\/172 - 537\/1204. Put k, a, 5 in increasing order.\nAnswer: k, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 250309120 by 4.\nAnswer: 62577280","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 12\/14*(-28)\/(-6). Suppose r = t*r - 9. Is r a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -7 - (-2)\/(-8)*475\/(-12 - 7). Let r = -0.1 - -0.1. Do t and r have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21045 divided by 69?\nAnswer: 305","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 28011924649 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (32\/(-16))\/10*4\/6?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45859*s + 114 + 140834*s + 520501*s - 112.\nAnswer: 615476*s + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**3 - 3*i**2 - 2*i - 4. Let t = -91 + 95. Give q(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4 and (-244)\/(-30) - (-4)\/(-30)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 2737299?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.90000153 + 0.9. What is n rounded to seven decimal places?\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -20 + 36. Let f be 0 + (t - 4)\/4. Let y be (-2*3\/24)\/(f\/(-9)). Which is smaller: y or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 147151.1884 rounded to the nearest 1000?\nAnswer: 147000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 44928 = -5*r, -119777 = -18*q + 10*q - 3*r. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 5*g = -14, -3*g - 42 = -19*k + 24*k for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5026*r + 11054 wrt r.\nAnswer: 5026","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 6*i**3 - 6*i**2 + 140*i - 826. Determine p(10).\nAnswer: 5974","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-28)\/3 - -9) + (-22)\/(-102)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12 - 12) + 3 + 4.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -329.2 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l = 5*g - 15, 19 = 3*l + 3*g - 14 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5025 and 54141?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lpk when three letters picked without replacement from zrzlpkz.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.01507 - -0.15346. Round p to three decimal places.\nAnswer: 0.169","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6 and 39299.\nAnswer: -235794","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001167876 to 6 dps.\nAnswer: -0.001168","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 17*(-11)\/(-1309) - 0. Put v, 10, 0.8, 3 in ascending order.\nAnswer: v, 0.8, 3, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4370056 is divided by 1051?\nAnswer: 1049","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*a - 2784 = -56*a. Suppose 8*v - a = 16*v. Let l = -99 - v. What is the remainder when 101 is divided by l?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes after 1:50 PM?\nAnswer: 10:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhh when three letters picked without replacement from {h: 3, f: 9}?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**3 - 6*z**2 - z - 8. Calculate x(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -2*h - 5. Let o = -615 - -619. Sort h, 2, o in ascending order.\nAnswer: 2, o, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.001 + 0.069. Which is smaller: -1 or a?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (-26264)\/(-336) - 80.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:42 PM and 7:34 PM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-6))**(16\/3)*(u**(1\/14)*u)\/(u**(2\/29)\/u*u) assuming u is positive.\nAnswer: u**(-12585\/406)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**2 + 26*j - 15. What are the prime factors of c(20)?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*i*s**6 + i*s**3 + 3*i*s**2 - 122*s**6 - 103*s**2 wrt s.\nAnswer: 600*i*s**3 + 6*i - 14640*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (1*(44\/(-8))\/(-11))\/(178\/(-10324))\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 3) to base 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 14 + 21 = 5*t, t = -2*o + 4. Let u(x) = -4*x**2 - 8*x + 2. Give u(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -303 + 363. What is the highest common divisor of o and 204?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*m + 3*a + 748 - 720, -2*m - 56 = 4*a for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 10 - (10 - 5).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**(-2\/9))\/v)**(-11)*v**(-7\/3)*v**8 assuming v is positive.\nAnswer: v**(29\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -31.97 + 32. Let h = -1457 + 1458. What is the nearest to h in m, -2, -5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 9) to base 14\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**2\/5 - 301188*v\/5 + 7559517612\/5.\nAnswer: 3*(v - 50198)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -174071830, -174071832, -174071834, -174071836, -174071838?\n\"Answer: -2*f - 174071828","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 74*w**3 + 23*w**2 - 3*w + 34. Let v be g(18). Round v to the nearest one hundred thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 612*s - 1088*s - 824*s in the form n + o*s and give o.\nAnswer: -1300","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l + 2*d + 166, d - 75 = -l - 0*l. Let v = l + -56. Is 20 a factor of (-6)\/(v\/(-20) - -1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11 - -15. Solve -f*r - 5*n = -2, -n - 3*n + 6 = r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 48 - 83. Let h = 29 - o. Suppose 4*k = 4*y - h, 2*y + 2*k - 20 = 7*k. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j = -43*q + 40*q - 27, 3*q - 40*j - 237 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**2 + 4*o + 7. Let c be l(5). Let d(h) = -h + 4. Let a be d(4). Let y = a + 6. Solve 0*p = c*p - y for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4513\/15 - 301. Let u = 6.6 - 5.6. Put 0.4, t, u in ascending order.\nAnswer: t, 0.4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**2 + 4*b**2 - 4*b**2 + 2 + 7*b. Let f be t(7). Suppose f*k - 21 = -k. List the prime factors of k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/4*(-4)\/(-12).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 1 + 9. Let a(i) = -i**3 - 5*i**2 - 6*i - 4. Let z be a(v). Is (z\/(-5))\/(6\/(-15)) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -64 - -158. Suppose z - j = 32. Is 10 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16076*r**2 - 4024*r**2 - 7834*r**2 - 2631*r**2 - 4521*r**2.\nAnswer: -35086*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -328 - -332. Solve 3*s - 3*v + 3 = 0, m*v - 2*v = 5*s - 4 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*f**3 + 2*f**4 - 7*f**2 - 2 + 3 + 9*f**2 to the form h*f**2 + j + r*f + q*f**3 + w*f**4 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(3520) - sqrt(3520))\/(sqrt(891) - 1*sqrt(891) - sqrt(11)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is eighty-seven halves of a microgram in nanograms?\nAnswer: 43500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(28)\/(sqrt(16)\/sqrt(4)) + sqrt(28)*2 + sqrt(28))**2 - 5*(sqrt(448)*2 - sqrt(448))**2.\nAnswer: -1897","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 1693695*l**3 - 1693476*l**3 - 42*l**2 + 6*l**2 in the form v*l**2 + j + w*l + t*l**3 and give t.\nAnswer: 219","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 8 = 34. Let p(b) = 3*b + 11. Let h(y) = 6 + 5*y + 0*y - y - 3*y. Let m(k) = -5*h(k) + 3*p(k). Let d(n) = 17*n + 13. What is o*m(c) - 6*d(c)?\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -39*i - 153. What is the remainder when 2\/(-6)*2 - (-132)\/9 is divided by t(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15427.58 weeks to nanoseconds.\nAnswer: 9330600384000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**2. Suppose -r + 886 = 3*c - c, 0 = 4*r - 2*c - 3524. Let z(u) = -8*u + r - 882. Calculate z(d(v)).\nAnswer: -8*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*s - s + 10 = 0. Put s, 1\/2, -6, 0 in increasing order.\nAnswer: -6, s, 0, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*t + 3*j + 2*j - 21, 3*j = -4*t + 7 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1618 + -876. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 381 a factor of 22098?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 6) to base 8\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -8 (b) 2\/13 (c) -20.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-253)\/(-230))\/(33\/330)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -30*o**2 - 8*o**2 - 17*o**2. Let n(g) = g**2. What is n(f(x))?\nAnswer: 3025*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (-2 + -4 + 12 - 2)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 357*b - 3*b**2 - 2*b**3 + 4*b**2 + 105062 + b**2 - 105063 - 3*b**2 to n*b**2 + c*b**3 + m + g*b and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -173*l**2 + 57*l**2 + 52*l**2 as i*l + a*l**2 + p and give a.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 32*m + 77. Give j(-5).\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -39*k**3 - 21*k**2 - 21*k - 21. Let t(b) be the second derivative of -b**5\/5 - b**4\/6 - b**3\/3 - b**2 - 7*b + 5. What is -2*d(s) + 21*t(s)?\nAnswer: -6*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 19 - 13. Solve -4*o + x - 2 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*x + 12 = -6 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(500) + 1 + 0) + -1*(sqrt(500) + (sqrt(500) - (sqrt(500) + 0)))*-6)**2*6.\nAnswer: 8640*sqrt(5) + 432216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -8 - ((-94 + -2)\/3 + (-175)\/35)\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.1212 - -0.0512. Which is the nearest to 3\/5? (a) -4 (b) -5\/3 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the second derivative of 0 + 1\/2*c**2 + 2\/3*c**3 + 1\/6*c**4 + 29\/5*c**5 - 8*c. Is o(3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -0*b. What is the closest to 0 in -1\/5, -2, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 2*v**3 + 57*v**2 + 383*v - 45. Calculate u(-13).\nAnswer: 215","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16 - 5. Suppose 320 = -y - j. Is (-1)\/(-4) - y\/4 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2001454 to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the first derivative of c**4\/12 - 9*c**2\/2 - 6. Let l(f) be the second derivative of q(f). Let y(i) = 27*i**2. Give y(l(m)).\nAnswer: 108*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20*z**2 - 11*z + 11*z to the form b*z**2 + h + y*z and give b.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (-5 - (-12 + 7) - -8).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 308 = 2138. Suppose -3*f - 1217 = -s. Solve 9*j = f*j - 7 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 12 + 138?\nAnswer: 14a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - (-1 + (0 - 1)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*i**2 + 87*i - i**3 + 2 - 3 + 77*i - 161*i to the form m*i**2 + l*i + r + u*i**3 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c - 2. Let x(p) = -6*p + 7. Let v(k) = 3*r(k) + x(k). Let f be v(0). Let s(z) = 11*z**2 - 3*z + 2. Does 10 divide s(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jwwn when four letters picked without replacement from njwjjjwwwjnw?\nAnswer: 5\/297","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 + -1. Let k(t) = t**3 + 5*t**2 + 2*t - 4. Let i be k(x). Suppose -3*u = n + n - 42, 2*n + i*u = 46. Does 15 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8.2 * -50\nAnswer: -410","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -7*z + 2. Let l(y) = -y. Let g be 18\/(-45) + (-56)\/10. Give g*l(w) + h(w).\nAnswer: -w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -2*f + 141. Let k be o(0). Let i = k + -22. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/2*1)\/(((-18)\/10)\/(-3)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1167 - -1188. Suppose -3*y + 4*y = 6. Solve u + 2*j + y = 0, 5*u - 6*u - 5*j = p for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 100\/(-160)*4\/(-5)*-6\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -99, -2, -59, 0, 3 in decreasing order.\nAnswer: 3, 0, -2, -5, -59, -99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 3*l - 7. Let u(d) = -2*d + 4. Let f = 3 - -1. Suppose 0 = -f*z + 5 + 15. Suppose -56*m = -55*m - 3. What is m*b(y) + z*u(y)?\nAnswer: -y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 67.61071 centimeters?\nAnswer: 676.1071","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 2 = -1. Let j be (39\/(-18))\/(-13) - (-4)\/3. Let m = 0.157 - -0.243. Which is the nearest to 11? (a) p (b) j (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.7095 - 0.6095. What is the fifth biggest value in 5, a, 2\/3, 1\/52, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 2*u**2 + 4. Suppose 3*w = -4*s - 2 - 0, 3*s - 42 = 5*w. Let b = 10 + w. Let h(z) = 5*z**2 + 9. Determine b*h(y) - 9*c(y).\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the second derivative of 4*k**4\/3 + 7*k**3\/3 + 410*k. Let u(v) = -v**2 - v. Determine -6*n(w) - 84*u(w).\nAnswer: -12*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 795*m + 614*m + 112050 = -85*m for m.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 15 + -11 + 8?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**2 + 15*u - 14. Let i be o(14). Suppose -5*k + k + 12 = i. Suppose -k*v - 33 = -6*v. Does 7 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 229181 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 4*h**2\/3 - 236*h\/3 + 232\/3 = 0.\nAnswer: 1, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3199904 to the power of 1\/3, to the nearest integer?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1183602 is divided by 168?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/5*h**4 - 4\/5*h - 8\/5*h**2 + 1\/5*h**5 + 0 - 3\/5*h**3.\nAnswer: h*(h - 2)*(h + 1)**2*(h + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oool when four letters picked without replacement from olpoppoyppoyooppop.\nAnswer: 7\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 30560705?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 132096 and 80?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7726 less than -26533?\nAnswer: -34259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.049 and -340.\nAnswer: -16.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -637*j**5\/4 + 476*j**4 + 116*j**3 - 573*j**2\/2 - 531*j\/4 - 27\/2 = 0.\nAnswer: -3\/7, -2\/13, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*k**3 + 130*k**3 - 40*k**3 + 10*k**3 + 11*k**3.\nAnswer: 72*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -c - 112, h + 32 = -0*h + 3*c. Let q = h - -35. Is q a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*u = -562 - 608. Calculate the greatest common divisor of u and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 28270 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -0.4, -1\/23, 5, 707, 6 in descending order.\nAnswer: 707, 6, 5, -1\/23, -0.2, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*u - 11*u - 2*r + 10 = 0, -4*u + 3*r - 6*r = -25 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -50\/61 and (-8)\/14 - (5 + 33700\/(-5075)).\nAnswer: 1769","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l + 4*l - 6*l + (2 - 5 + 5)*(0 - l + 0))*((2 + 3 - 6)*(2*l**2 - 4*l**2 - l**2) - 10*l**2 + 11 - 11).\nAnswer: 7*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 3 - 8)*(-122 + 122 - 12*v**4) as z*v**3 + r + m*v**2 + p*v + u*v**4 and give u.\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -101021\/106995 + 4\/3057. Let j = 4\/5 + f. Let h = 8 + -7.9. Put j, -0.4, h in ascending order.\nAnswer: -0.4, j, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -407, -1\/5, 1\/9, 0.3, 8, 4\/5 in descending order.\nAnswer: 8, 4\/5, 0.3, 1\/9, -1\/5, -407","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 428960 = -7165*s + 1803*s for s.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -4*z**2 + z - 1. Calculate w(3).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**3 - 6*j**2 + 4*j - 9. Let y be m(6). Let z(i) = -i**2 + 4*i - 1. Let o be z(6). Let g = o + y. Solve 11 = 3*f + g*k, -2*f = -5*f + 3*k - 9 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2732, -2734, -2736, -2738, -2740?\n\"Answer: -2*r - 2730","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -15*x. Let f be j(1). Let q = -6 - f. Suppose -3*o - q = -51. Is 7 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 740302 to the power of 1\/3, to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is b6d5 - 1d34?\nAnswer: 97a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-30)\/24)\/(1\/8). Let c be 6\/r*(-5)\/2. What is the second smallest value in -3, -0.1, c?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12319 divided by 312.\nAnswer: -12319\/312","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -78 + 80. Let r(v) = 26*v - 23. Let w be r(y). Solve 5*f = 2*n + 7 + 3, -5*n - f = -w for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 100927743?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and 1521.5.\nAnswer: 304.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 461037?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-5)\/(-3) - 3)\/((-8)\/(-54)*-3). Solve 15 = -f*h, -3*h - 15 = -2*v + 7*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 6) to base 4\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-17572)\/207 - -86 - (-512)\/9?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*h**5 + 18*h**2 - 18*h**2)*(-2 + 0 + 0) - h**5 + 9*h**5 - 9*h**5 + 2 + 20*h**2 - 20*h**2 - 87*h**5 - 2.\nAnswer: -102*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, r: 1, g: 1, x: 2, e: 2, i: 2}. Give prob of sequence iri.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 884*c**2 - 11*c - 37. Is o(6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m. Let c(h) = -8969481*h + 2. What is c(n(u))?\nAnswer: 8969481*u + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-33)\/242)\/(((-5)\/(-30))\/((-10)\/18)).\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 800 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the second derivative of 17*y**5\/4 - 31*y**3\/6 - y**2\/2 + 14*y. Find the second derivative of m(j) wrt j.\nAnswer: 510*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 72 and 2136?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.0192 and 0.07.\nAnswer: 0.0508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 7 + 23\/((-690)\/(-108))*5. Solve -j = -13*w + 18*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 27 - 23. Solve -3*z = 2*z + m*d - 27, -5*z = 3*d - 24 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 - 7. Let j(w) = -w**2 + w + 1. Let o(v) = v - 4. Let m(f) = f - 1. Let t(l) = 3*m(l) - o(l). Let n(d) = h*j(d) - t(d). Factor n(r).\nAnswer: -r*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**3 + 12*f**2 - 15*f - 24. Let r be z(-13). What is the remainder when 28 is divided by ((-6)\/(-12))\/(r\/68)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i when three letters picked without replacement from {i: 5, c: 2, k: 5}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that j**4\/2 - 557*j**3\/2 + 4911*j**2\/2 + 11753*j\/2 - 67130 = 0.\nAnswer: -5, 7, 548","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10 + 11. Which is the second biggest value? (a) 4 (b) f (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 136*b - 151*b = -12600. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -102123 (base 4) to base 15.\nAnswer: -539","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**3 + 15*n**2 + n - 2. Let y be u(0). Which is the nearest to 3? (a) -4 (b) y (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(-6 + (-4 + 45\/9 - -3))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6460 and 272.\nAnswer: 25840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/10293 and 19\/360.\nAnswer: 1235160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -n**2\/8 - 91*n\/2 - 8281\/2 = 0.\nAnswer: -182","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 5*a + 2*a = 51, 0 = -3*s - a - 41. Let k(g) = -g**3 - 12*g**2 - 13*g - 7. List the prime factors of k(s).\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 476?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 82325, 164650, 246975, 329300?\nAnswer: 411625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 45 - (-20 - (-60 + 25))?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -60cd0 - -b?\nAnswer: -60cc3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 58276929 to the power of 1\/3, to the nearest integer?\nAnswer: 388","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12642009 to the nearest integer?\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 151134.228 seconds?\nAnswer: 0.24989125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -l*o**6 + 5*l*o**4 - 68*l*o - l + 1687*o**3 + 62*o**2 wrt o.\nAnswer: -120*l*o**3 + 120*l*o + 10122","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 6196562 and -10.\nAnswer: -61965620","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -167\/4 - -42. Let i = -372\/17 - -2570\/119. Which is the third smallest value? (a) i (b) 2 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-2\/7))**(5\/3)\/((n**(-1\/2)\/n*n)\/n)**(-9\/13) assuming n is positive.\nAnswer: n**(83\/546)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n - 857 = 175. Let a = -1941850\/11 - -176360. Let d = a - n. Which is greater: -1 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 272699608?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 28958072 and 88?\nAnswer: 28958072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 47 - -2 - 1\/(-1). Let h = t - 17. What is the greatest common factor of h and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2150901*o + 1598981 wrt o?\nAnswer: 2150901","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 219*o + 1578. What is the smallest common multiple of l(-7) and 870?\nAnswer: 2610","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 56 (b) 2 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1000 and 914740.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 16360, 32259, 47702, 62695, 77244, 91355, 105034?\n\"Answer: k**3 - 234*k**2 + 16594*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes after 9:18 PM?\nAnswer: 2:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the first derivative of 2\/3*f**3 - 9*f**2 + 30*f + 36. What is the first derivative of y(k) wrt k?\nAnswer: 4*k - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5.3 - 5.2. Let a be ((-1)\/(-6))\/((-6)\/(-153)). Let c = 47\/12 - a. Is c greater than or equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9278 divided by 4639\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of r**3 + 1711*r**2 + 734*r + 14481562.\nAnswer: 3*r**2 + 3422*r + 734","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the first derivative of z**3\/3 + z**2\/2 - 1. Let d(j) = 7. Let p(t) = 3. Let v(y) = -d(y) + 2*p(y). Calculate -c(s) + 3*v(s).\nAnswer: -s**2 - s - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 13*l + 6. Let k be a(2). What are the prime factors of k\/(-2 - 5\/(-2))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3462 is divided by 383.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 26810?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -6*j + 1. Let z be 8\/((-3)\/(3\/(-2))). Suppose 5*r - z*q - 5 = -2*q, 11 = 2*r + q. Suppose 7 = 3*c - 0*c - 2*b, -r*c - 3*b - 3 = 0. Give o(c).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 4*t - 12 = 4*b, -4*b - 4 = 0. Sort t, -5, -7 in increasing order.\nAnswer: -7, -5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11775 is divided by 92.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.5 (b) 18\/17 (c) 0.5 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000854441 to 7 decimal places.\nAnswer: 0.0008544","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = 6*k + 4*k. What is the first derivative of -k - 6 + 7 + 52*p**4 - 7 wrt p?\nAnswer: 208*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 5, -4, -17, -65, 4 in descending order.\nAnswer: 5, 4, 0, -4, -17, -65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (118 - 120) + (2 - 1 - -2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-35)\/(-119))\/(40\/16).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 42*k - 200. Let g be r(5). Let a(o) = o**3 - 101*o + 13. Let v be a(g). Solve 9*s + v = 8*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 99710?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 27*z - 1. Let o be d(-1). Let p be 1\/((-3)\/3) + o. Let x = -16 - p. Does 13 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3324448 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 8*x**2 - 94*x - 19. Let p be w(12). Solve 5*u - 5*f - p = 0, 3*u - f + 0 + 3 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 153250 and 250.\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 + 25 + 4\/(-4). Suppose 0 = -3*o - 2*a + g, 4*o = -0*o - 3*a + 31. Let r = 5 - 2. Solve 0 = -r*w + 3*d - 9, -16 = -o*d - 0*d for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 4*z + r - 18 = 0, 3*r + 11 = z. Let i(a) = -a - z*a + 4*a. Let x(f) = -f + 2. Let u(g) = 2*g - 3. Let p(d) = -2*u(d) - 3*x(d). What is p(i(b))?\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 25569.01 litres?\nAnswer: 25569010","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9\/7 in 4, -3\/2, 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -4*n**2 + 6*n + 3. Let u(h) = 3*h**2 - 6*h - 3. Let d(j) = 4*l(j) + 5*u(j). Let i be d(-2). Suppose y - i*y = -36. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -667, -792, -917, -1042, -1167, -1292?\nAnswer: -1417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -187150.932 rounded to the nearest one thousand?\nAnswer: -187000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 35888619349 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 8*n - 4. Let p be -4*15\/20*-1 + -2. What is the units digit of k(p)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10408 <= -10408?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 248 - 23. What is the greatest common factor of h and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51365 + 18780 = -5*m - 5*i, 4*i = -16. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -6*p - 1. Let i(a) = -24*a - 3. Let n(g) = -9*b(g) + 2*i(g). Let x be n(5). Solve -4*r + 4*w - x - 7 = 0, 0 = 4*r + 4*w for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 437*y + 181*y - 725*y + 417*y + 955*y**2 wrt y?\nAnswer: 1910","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**3 + 13*v**2 - 13*v + 9. Let b be z(-14). Let c(n) = n**2 + 3*n - 1. Determine c(b).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/2 (b) 4 (c) -0.4 (d) 5 (e) 19348\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7260446 is divided by 806716?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 397296052.\nAnswer: 2, 17, 5842589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 526 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 12381.4957 rounded to the nearest 10?\nAnswer: 12380","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 129302 and 102?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (6\/8)\/1 - (-68)\/16. Let s(b) = -4*b - 2. Let m be s(-2). Let h be 8\/3 - m\/(-18). Put h, -4, u in decreasing order.\nAnswer: u, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -0*s + 4*s. Suppose -s*d - d + 108000 = 0. What is d rounded to the nearest ten thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r - 4425 - 2141 = 0. Suppose -6*c = -2086 - r. What is the hundreds digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - -9 - (0 + 4) - -14.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**3 + 3*r**2 - 2*r + 3. Let t(v) = -5*v**2 + 47 + 12*v**2 - 14 - 5*v - 3*v**3 - 15 - 11. Determine 7*n(d) - 3*t(d).\nAnswer: 2*d**3 + d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -6, 13, 0, 31 in decreasing order.\nAnswer: 31, 13, 1, 0, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*i**3 - 11*i**2 + 656*i + 2495.\nAnswer: 6*i**2 - 22*i + 656","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 32 - 32 - 38*q + 3*q - 5 + 5 + (q + 0*q + q)*(3 - 6 + 2).\nAnswer: -37*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 33 - 53*n**2 - 280*n**2 - 145*n**2 - 33 in the form s*n**2 + t*n + g and give s.\nAnswer: -478","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*f**2*s**2 + 2*f**2*s + 7529*f**2 - 17*f*s**2 + 757*f - 2*s**2 + s wrt f?\nAnswer: -4*s**2 + 4*s + 15058","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 99506, 397851, 895036, 1591061, 2485926, 3579631?\n\"Answer: 99420*k**2 + 85*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -57 + 25. Let x = 20 + b. Let v = x - -13. Are -0.01 and v unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -186955*g**3 - 64645 wrt g.\nAnswer: -560865*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -196 - 217. Let o = p + 285. Let s = o + 127. What is the nearest to -1\/3 in 0.5, -0.3, s?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88*l - 74*l = 3948. Let w = -284 + l. What is the second biggest value in w, -1, 7, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the second derivative of a**4\/12 - a**3 + 2*a**2 - 2*a. Let s be (-2)\/3 - 14\/(-3). Determine w(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 406 = -306. Suppose 8 = r - 2. What is the greatest common divisor of r and u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*y - 5*i, -3 = 4*i + 13. Suppose 2*b + 12 = 6*b. Let f = 0 + b. Calculate the smallest common multiple of y and f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9 + 30. Calculate the remainder when f is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -440\/91 + 1\/546. Find the common denominator of -149\/12 and l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 64155737?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:30 PM and 8:27 PM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -2*z**3 + 15*z**2 - 6*z - 2. Let x be r(7). Suppose -1100 = -2*m - i + x*i, -5*i = 3*m - 1672. What are the prime factors of m?\nAnswer: 2, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - -1) + 7 + -32 + 30?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 18*l**2 + 28*l**2 + 141*l**2 + (-3*l + l + 0*l)*(l + 2*l - 2*l) as f*l + p + x*l**2 and give x.\nAnswer: 185","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + -5 + (-255)\/60.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(132)*-1 - sqrt(132))\/sqrt(12)*-5)**2.\nAnswer: 1100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*g - 2409 + 897. What is the smallest common multiple of g and 492?\nAnswer: 4428","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 4*l - 2*y - 60, -l - 2*y = -60. Let d = -11 + l. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 676*g**3 - 5*g + 490. Let j(b) = -336*b**3 + 2*b - 245. Let y(z) = 2*h(z) + 5*j(z). What is the first derivative of y(i) wrt i?\nAnswer: -984*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 27 = -4*b, -20*s - 4*b + 17 = -17*s. Which is smaller: s or -49?\nAnswer: -49","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 168584 rounded to the nearest ten thousand?\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-41 - 18*g + 41)*(0 - 1 - 2*g + 5*g) as a*g**2 + u*g + p and give a.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -31*j - 212. Calculate c(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 67188?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 98824.66mm to nanometers.\nAnswer: 98824660000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) 34 (c) -5 (d) -2\/19 (e) -3\/4 (f) -1\/4390 (g) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = 15 + 65. Let c = 43 + i. Does 7 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*r - 3*r - r)*((0 + 0 + 1)*(-2 + 4 - 3) - 2 + 1 - 1 + 4 - 4 + 1 - 9 - 3 + 4).\nAnswer: -20*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.1094 + -62.0094. Let b = u - -68. Let a = b + -6. Put 4, 0.5, a in decreasing order.\nAnswer: 4, 0.5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 21 - 2*x + 4*x + 3*x - 12. Calculate t(-6).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24 is divided by 216\/16 + (-1)\/2.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 3735?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-72))\/(11\/(-88))?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 44845 to the power of 1\/2, to the nearest integer?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29619026 is divided by 13129.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 3*h = 40. Suppose -2*b = -a, -5*a - 6 = 5*b - 6*a. Let o be (54\/(-45))\/(h\/(-5) + b). Is o less than 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the first derivative of -s**4\/12 + s**3\/6 - 26*s + 50. Let p(o) be the first derivative of z(o). Let a(u) = -u**2. Give p(a(d)).\nAnswer: -d**4 - d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 924 + -170. Let o = j - 742. Calculate the greatest common factor of o and 708.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 9*t. Let w(q) = -42*q. What is w(z(n))?\nAnswer: -378*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 12\/(-66) - (-138)\/33. What is the greatest common factor of o and 28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 44201?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -57\/244970 and -103\/6124250.\nAnswer: 6124250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**3 + y + 37. Let u be m(0). Suppose i + 2*v + 22 = 7*v, 4*i = -5*v + u. Suppose -24 = -6*z + i*z. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and -68.1?\nAnswer: -68.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*-1*3*51\/(-306).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -805 = -2*p - 177. Let s be (p\/(-4))\/(13\/26). Let f = -125 - s. Is f a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3\/((-42)\/(-4)))\/(14\/294). Is (-696)\/(-2)*15\/v + -1 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1388, 1399, 1430, 1493, 1600, 1763, 1994, 2305?\nAnswer: 2708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 equal to 28?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -20.5 - -21. What is the smallest value in -2, m, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 168*a = -20 + 20. Solve 77*w - 31*w - 184 = a for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 96*s - 84*s + 4 - 4. Let r(t) = 2*t + 3. Let g(h) = 4*h + 5. Let q(u) = 3*g(u) - 5*r(u). Give o(q(x)).\nAnswer: 24*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45263 is divided by 45.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -4*n + 4. Let u(d) = -d**2 - 8*d + 26. Let g be u(-12). Let b = 6 - 0. Let h(i) = 22 - 4 - 15*i - 3. Give b*h(m) + g*w(m).\nAnswer: -2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, -1, -74?\nAnswer: -74","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53848?\nAnswer: 2, 53, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 77 - 80.3. Let t = -2.8 - l. Which is the fourth biggest value? (a) -25 (b) t (c) 0.1 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 3*v**3 + 5*v**2 - 21*v + 39. Let f be z(9). What is the greatest common factor of f and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -13, -3, 3 in descending order.\nAnswer: 3, -1, -3, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2239 is divided by 32.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*l*r*u**2 - 11*l*r*u - 238*l + 6*r + 7*u**2 with respect to r.\nAnswer: -3*l*u**2 - 11*l*u + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1042341 or 1042342?\nAnswer: 1042342","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, -67, 29395, -1.\nAnswer: -67, -17, -1, 29395","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**2 + 3*n - 4. Suppose 5*s = -2*z + z + 35, -4*z - 4*s + 76 = 0. Suppose -z = 2*y - h + 4*h, 4*y + 3*h = -21. Give b(y).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m + 0 + 0)*((17 + 59 - 228)*(-166 + 166 + 24*m) + (3 + 2 - 3)*(-4*m + 3*m + 3*m)).\nAnswer: -3644*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*i - 9 - 17. Find the third derivative of -209*o**2 + 68*o**5 + 158*o**i - 23*o**5 wrt o.\nAnswer: 2700*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 + (4 - 60) - (0 - (1 + -17) - 0)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1288033\/5714544 + -2\/119053. Find the common denominator of 73\/660 and c.\nAnswer: 2640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -115128880 by -8.\nAnswer: 14391110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (3*sqrt(60)\/(-2*sqrt(12)))**2.\nAnswer: 53\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -0 - 5. Let c(r) = -l - 3*r**2 + 5 + 4*r**2. Let i(d) = 5*d**2. Determine i(c(y)).\nAnswer: 5*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9 - -10. Let j = -6 - -10. Sort u, -3, j in decreasing order.\nAnswer: j, u, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 1060*o**2 - 21*o - 29. Is 18 a factor of c(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11110 (base 4) in base 9?\nAnswer: -417","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/9, 1.61, 47.7 in descending order.\nAnswer: 47.7, 1.61, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**2 + 6*w. Let n be s(-6). Suppose 4*z - 12 - 4 = 0. Suppose -3*j = -z*j. Does n = j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -16*n + 21. Let l(m) = 3*m - 4. Suppose -2*u = -892*q + 887*q - 36, 4*q + 108 = 4*u. Calculate u*l(z) + 6*b(z).\nAnswer: 3*z - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 77 - 53. Let l = 79 + -34. Find the first derivative of 68 - p*g - l - 51 wrt g.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20339845, 40679692, 61019539, 81359386, 101699233?\nAnswer: 122039080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2534428 - 24*n + 23*n + 2534526.\nAnswer: -n + 98","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 377 + -1315?\nAnswer: -827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (106*j + 27*j + 63*j)*(6*j - j - j) + j + j**2 - j to the form n*j + q + s*j**2 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4333859126?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6.18 - 0.18. Let t = 7 - h. Let l = 2 - 2.1. Is l bigger than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q = -5*g + 64, -4*q + 80 = 1732*g - 1734*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 339734 and 64?\nAnswer: 10871488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0*(-1)\/8*4\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -198*x**3 + 198*x**3 + 14*x**4 + (-x**3 + 3*x**3 - x**3)*(0 + x + 0) - 7*x**4 + 48*x - 48*x.\nAnswer: 8*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:16 AM and 7:36 AM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*b - 17 = 78. Solve 1 - 11 = -5*k - 5*c, 0 = b*k + 3*c - 4 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -200 - -393. Let u = i - -160. List the prime factors of u.\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3888 - -34990\/9. Let y = -53 + 53.062. Which is the smallest value? (a) -2\/11 (b) k (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -2\/5, -1.1, -1\/4, -53, 1\/12?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1515 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51 = -8*m + 35 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * -23.367\nAnswer: 7.0101","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -334*i = -333*i - 20. Let b(m) = 11*m**2 - 2*m + 5. Let a be b(-3). Calculate the highest common factor of a and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (159*p - 95 + 95)*(2*p**2 - 3*p**2 + 0*p**2) in the form v + n*p**3 + b*p + o*p**2 and give n.\nAnswer: -159","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.006 and -0.0959.\nAnswer: -0.0899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5372 and 195976?\nAnswer: 15482104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -18*c**3 + 637*c**2 + 624*c - 11. Calculate f(-1).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1\/9)*p**(2\/21)\/p*p**(-1\/3)*p**(-2\/19))**(2\/39) assuming p is positive.\nAnswer: p**(-3482\/46683)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.09405 - -32.90595. What is the closest to p in -1\/5, -11, 4, -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14.77 - -14.77. Let y be (-2*1)\/(-138)*2. Do y and u have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 2*h - 11, -5*y = -0*h + h. Let o(q) = 5*q**2 + 5*q**2 - h*q**2. Let d(g) = -2. Let s(l) = l**2 - 9. Let a(i) = 9*d(i) - 2*s(i). What is a(o(n))?\nAnswer: -50*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 - 6 - 7)*(2 - 3 + 2 + 3*l).\nAnswer: -6*l - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -42883*a*n**2*q**2 - 3*a*n*q - 2*a*q**2 + 5*a - n**2*q**2 - 2367*q**2 wrt n.\nAnswer: -85766*a*q**2 - 2*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-84)\/(-70)*(-2)\/6*-5. Suppose -4*s + 16 = -d, -3*d + j*d = 5*s - 20. Which is smaller: s or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*k + 12, 4*x - 81*k = -85*k - 4 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence amm when three letters picked without replacement from xmqam?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 795?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 985367.3 millimeters?\nAnswer: 98536.73","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1616.976 months to centuries.\nAnswer: 1.34748","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 3 y when four letters picked without replacement from yppypypyyppypppyyyyy?\nAnswer: 99\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/(-4)*2\/3. Which is the nearest to 6\/5? (a) 1 (b) -0.4 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.04 + -0.36. Let v = 861 - 623. Let c be 1 + v\/(-442)*(-20)\/(-14). What is the nearest to 1 in -0.5, d, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-u - 2*u + 2*u)*(-37 - 307*u**2 + 37) as a*u + g*u**2 + l*u**3 + v and give l.\nAnswer: 307","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 293.9582mg to micrograms.\nAnswer: 293958.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 21002020121101 (base 3) in base 9?\nAnswer: 7066541","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (718*b**2 - 4929 + 4929)*(2*b + 0*b - 3*b).\nAnswer: -718*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -4*b**2 + 3*b**2 + 7*b - 5 - 2 + 0. Let p be y(5). Let q(z) = -p*z + 2*z + z - z. Let a(g) = 4*g**2. Give a(q(i)).\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 + 235 = 33*a. Suppose 2*b = -u + 883, a*b - 6*b = 3*u + 895. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:35 AM and 3:48 PM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/448 and -39\/64?\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 + 1 - (52 - 19).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.024 less than -243?\nAnswer: -243.024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 179001 and 36?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 1 h when three letters picked without replacement from {y: 5, k: 1, h: 1, r: 2, i: 10, z: 1}.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17552 - 17226. What is the remainder when m is divided by 86?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -439816*q**3 - 653*q**2 - 2*q + 8.\nAnswer: -2638896","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3024)\/(-3696)*(-627)\/9?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -145, -413, -1255, -2989, -5933?\nAnswer: -10405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(832) + sqrt(130)\/sqrt(250))**2*-5 - (3 + sqrt(104)\/sqrt(2) + ((sqrt(91) + 1*sqrt(91))\/sqrt(7))**2))*4.\nAnswer: -88612\/5 - 336*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 238*m + 4510. Determine v(-19).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -818*z - 89302. What is a(-109)?\nAnswer: -140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1, 15, 63, 161, 327, 579, 935, 1413?\nAnswer: 2031","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 6563, 6902, 7459, 8228, 9203?\n\"Answer: -l**3 + 115*l**2 + l + 6448","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/16 + (-30)\/56. Let o be 18\/16*(-132)\/594. What is the second smallest value in 2\/47, n, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 116 and 7772?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*j - 12*j + 62 = -3*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 - -20476?\nAnswer: 20500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000071158 rounded to 6 dps?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -23*570\/27531*14\nAnswer: -20\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 5, 1, -12, -5 in ascending order.\nAnswer: -12, -5, 1, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20545?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 284, 842, 1680, 2804, 4220, 5934, 7952?\n\"Answer: k**3 + 134*k**2 + 149*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -10*r - 10. Let a be 8\/(r + -10)*-2*1. Let w(h) = -155 + h**a + 155. Let k(g) = 9*g**2. Calculate k(w(q)).\nAnswer: 9*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 22 and 28\/4577.\nAnswer: 4577","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8551 is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l = 3*n + 3, 56*l = 60*l - n + 16 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 208506022 to the power of 1\/2, to the nearest integer?\nAnswer: 14440","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 42169, 84213, 126271, 168349, 210453, 252589, 294763, 336981?\n\"Answer: h**3 + h**2 + 42034*h + 133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4873 + 2232. Let h = j + 4659. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*y = 90*y - 94 - 956 for y.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 40\/7 and (2\/5)\/((-6)\/186).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -236 = -5*g + 2*d, 4*g + 4*d - 248 = -g. Let c = -132 + g. Let j = 211 + c. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -225917, -225920, -225923, -225926, -225929?\nAnswer: -225932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v*(((v*v**(4\/5)\/v)\/v)\/v)\/v)\/(v*v**11\/v))**46)**(-24\/11) assuming v is positive.\nAnswer: v**(61824\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -385*o**2 - 15788*o + 8. Give c(-41).\nAnswer: 131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the first derivative of -o**4\/18 - 14*o**3\/9 - 15*o**2 - 189*o - 47. Let l(g) be the first derivative of m(g). Suppose l(f) = 0. What is f?\nAnswer: -9, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87 - 105 = 18*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g - 1. Let u be k(-5). Let t = u - -18. What is the greatest common factor of 88 and t?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -d0b (base 16) to base 12\nAnswer: -1b23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 divided by -1?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8102.31m to millimeters.\nAnswer: 8102310","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the second derivative of 7*g - 1\/72*g**4 + 1\/360*g**5 + 1\/36*g**3 - 3*g**2 + 0. Let r(f) be the first derivative of p(f). Factor r(a).\nAnswer: (a - 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 448 and 4?\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3158 = 9078*l - 9222*l - 134 for l.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 29*l - 11. Let i(c) = -6*c + 2. Let f(u) = 11*i(u) + 2*q(u). Suppose 0 = -m + 5*m + 4. Calculate the remainder when f(m) is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 5, v: 1, p: 3, a: 1}. What is prob of sequence pfp?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 - (-3)\/(-63)*69. Sort m, 0.1, -0.03.\nAnswer: m, -0.03, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f - 0*f + 32. Let z be (-2)\/3*(-60)\/f. Suppose 3*n + 14 = z*n. Calculate the lowest common multiple of 2 and n.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 8 + (-8 - -12 - -19). Solve -33*u + k*u = 4 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-70)\/(-4)*(-1)\/(15\/3)?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1\/8 + 1\/8. Let x = 273 + -278. What is the fourth smallest value in a, 2, x, 0.5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6\/4043, 7\/2, -16 in descending order.\nAnswer: 7\/2, 6\/4043, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2280 + 6?\nAnswer: 2286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-73)\/3942*54)\/(4\/(-3)).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3024 and -27.877?\nAnswer: -84300.048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(110)\/(sqrt(10) + -2*sqrt(40)).\nAnswer: -sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 14\/(-7) - 54\/2. Let a = b - -44. Suppose 5*q - 12 = 2*q. Calculate the remainder when a is divided by q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 5 = -k, -k = -2*u + 3 - 8. Suppose k*h + 2*m - 14 = -42, -m + 4 = -2*h. What are the prime factors of h\/(-8) + (-21)\/(-2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:46 AM and 8:23 PM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-560)\/(-21))\/8)\/((-4)\/(-6)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5)\/15*(-3)\/1. Let t be 1 + 0 + -4 - 1. Let d be j*(-2)\/t*8. Solve 2 = -y + n, 3*y - d*y + 4 = 5*n for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:45 PM and 1:13 AM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.219 + 13.781. Let s = i - 16. Which is greater: s or 5.7?\nAnswer: 5.7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the second derivative of f**4\/4 - f**3\/2 - 2*f + 3. Let m(g) = -g - 1. Let x(c) = -4*c - 3. Let y(j) = -6*m(j) + 2*x(j). Give l(y(o)).\nAnswer: 12*o**2 + 6*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1, 4, 15, 40, 85?\n\"Answer: f**3 - 2*f**2 + 2*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/10*(-16)\/(336\/(-105)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*k - u - 32, u + 262 = 4*k + 219 for k.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3.62736 months?\nAnswer: 0.30228","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3360227 is divided by 1535?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46*i**2 + 2382*i - 415*i - 1970*i.\nAnswer: 46*i**2 - 3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 91939?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 1683622.3 to the nearest 100000.\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2785 - 96. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -11 and 243.\nAnswer: -2673","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 11*i**2 + 7*i - 2. Let g be o(-5). Suppose 0 = -74*j + 219*j - 10150. Calculate the greatest common divisor of j and g.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**2 - 10*w - 6. Let d(a) = a**2 - 8*a - 7. Let i be d(8). Let p be s(i). Solve 2*q = 7*q + p for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -99*y - 14. Suppose -u = 4*m - 158, -3*m + 2*u + 111 = -u. Suppose m = -5*h - 2*n, -h - 5*n = -2*n. Is p(h) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 36 - -20331?\nAnswer: 20367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (57\/((-14535)\/(-34)))\/(20\/325)\nAnswer: 13\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2738 + 488 = -75*j. Which is the closest to j? (a) 0.1 (b) 1\/3 (c) 1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 + -500?\nAnswer: -505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -499*q*r**2 + 149*q*r + 161563*q - 4*r**2 - 1 with respect to r.\nAnswer: -998*q*r + 149*q - 8*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -5, 41*d = -5*b + 39*d + 1728. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 66*w + 9. Let r be j(3). Let t = -134 + r. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1082.\nAnswer: 2, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m + 4*d - 24 = 0, 10 = -89*m + 92*m - 2*d for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:24 AM and 5:08 AM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -231 - 1339. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3639604 divided by -4?\nAnswer: -909901","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the second derivative of -302723*g**3\/6 - 47*g**2\/2 + 8*g. Let x be t(11). Round x to the nearest one hundred thousand.\nAnswer: -3300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -0*m + 4*f, 5*m - 5*f - 75 = 0. Suppose 2*v - p - 14 = 0, 4*p + 1 = -4*v + 53. Is m greater than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 2*v. Let t(g) = -690*g**2 - 89635*g. Determine s(t(w)).\nAnswer: -1380*w**2 - 179270*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (-108)\/54 - -34*(-2 - -3) and 3360?\nAnswer: 3360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -4*b**2 + 230398*b + 1. Let q(j) = -3*j**2. What is r(q(o))?\nAnswer: -36*o**4 - 691194*o**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**2 - 16*v + 116. Let a be s(6). Suppose 0 = -10*n + 4 + a. What is the highest common factor of 3 and n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -549, -538, -513, -468, -397, -294?\n\"Answer: j**3 + j**2 + j - 552","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -2*o + 5. Let k(w) = w. Let v be k(2). Let m be 6\/v - (-6 + 3). Let b(j) = -j**2 + 6*j + 5. Let q be b(m). Calculate c(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10085081 times -6?\nAnswer: -60510486","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 542\/4 - (-14)\/(-28)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b - 1. Suppose -g - 1 = -3. Let h(y) = 2*y**2 - 3*y + 4. Let c be (-8)\/(-44) - (-54)\/66. Give c*h(q) + g*j(q).\nAnswer: 2*q**2 - q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2855 + -2854.8. Is y > 12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4841121 is divided by 4841101.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*f + 35*f - 68*f**5 + 10*f**5 - f**2 - 242*f**5 wrt f.\nAnswer: -18000*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 3 = s. Suppose 0 = -3*o + 3 - 0. Sort 0, s, o in decreasing order.\nAnswer: o, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95 + 8 = -3*y. Let s = 69 - y. Does 11 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6480 divided by -162.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1929722 to the nearest integer?\nAnswer: 1389","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 183515567.\nAnswer: 29, 31, 204133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*r**3\/7 - 48588*r**2\/7 + 97170*r\/7 - 48584\/7 = 0. Calculate r.\nAnswer: 1, 24292","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (1 + -5) - (19 + 25 + -13).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 65 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5660, -11323, -16988, -22655, -28324, -33995?\nAnswer: -39668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 3*r - 11. Let w be q(5). Let k(i) = 7 + 2*i**3 - 10 + 5*i**2 + 5 - 3*i**3 - 4*i. Calculate k(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13 + -120103?\nAnswer: -120030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 + -6. Let v(f) = 1 + f**2 + 4 + p - 2 - 5*f. Suppose 2*y + l - 10 = 0, 3*y + 4*l - 4 = y. What is v(y)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o - 11 + 1. Let p = -0.3 + 0. Suppose -x = -5*x - 2*s, -4*x + 5*s = 0. Which is the closest to x? (a) p (b) -5 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1204 divided by 602?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 517071?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -119 - -12225?\nAnswer: 12109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from appspsafsfpap. What is prob of sequence ssfa?\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y - 3*y + 10. Let n(x) = -x**3 - 5*x**y + 1 + 3 + 2*x + 0. Suppose 0 = 116*j - 119*j - 15. What is n(j)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bz when two letters picked without replacement from {y: 2, z: 1, b: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 7*r + 2. Let g be c(4). Let j be (12\/(-10))\/((-9)\/g). What are the prime factors of ((-11)\/2)\/((-2)\/j)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - 26 = 2*r, -171*r + 167*r = 4*d + 16 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 3230?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.08 in -2\/11, -1, -0.11, 2?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, s: 1, o: 2, g: 4, z: 3}. What is prob of picking 1 z and 1 o?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (102\/(-255))\/(184\/(-590) + 0) and -77\/2.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v + 2 - 18. Suppose v*i = b - 7, 5*i = 5*b - b - 17. Let l(z) = 2 - 3 + z**2 + b + 2 + 3*z. Determine l(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -63*j + 139*j + 25*j**3 + 3*j**3 - 5 - 2*j**4 - 78*j in the form f*j**3 + b + t*j**2 + r*j**4 + k*j and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:11 AM and 5:53 AM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c - 2*r + 734, -c - 5*r + 147 = -59. Let s = c - 6. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:18 AM and 11:59 AM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -900970651, -900970650, -900970649, -900970648?\n\"Answer: u - 900970652","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1187, -2374, -3563, -4754, -5947?\n\"Answer: -i**2 - 1184*i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1\/5)\/u)**(1\/7)*u*u*u*(u**15\/u)\/u*u*u\/u**2 assuming u is positive.\nAnswer: u**(554\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 371125149.\nAnswer: 3, 31, 3990593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10929?\nAnswer: 3, 3643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -19b - -554?\nAnswer: 375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(10)*2)\/(sqrt(5) - (sqrt(5) + (sqrt(30)\/(sqrt(18)\/sqrt(3)) + sqrt(5) - sqrt(5)))).\nAnswer: 8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 + -2. Solve j = 2*r - 5*r - 15 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23, -56, -99, -158, -239?\nAnswer: -348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the third derivative of -1\/30*c**5 + 9*c**2 + 0 + 1\/60*c**6 + 0*c**4 + 0*c**3 + 0*c. Find s such that i(s) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l = -5*h + 8*h - 19, 2*h = -5*l + 22 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*j - 4*j + 3*j**2)*(-3782*j**2 + j - 385 + 3784*j**2 + j).\nAnswer: 6*j**4 + 6*j**3 - 1155*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3253115 (base 7) to base 13.\nAnswer: 10cbaa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 25 = 0, -5*m = 5*q - 0*q - 30. Solve l = -l - b - q, 0 = 5*l - 2*b + 5 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 22780 and 110?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 3308*a**2 + 11*a + 35. Is 29 a factor of v(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*q + 20*q - 10 = 0. Suppose -f - 2 = -q. Let u = 41 + f. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 3*t + 65. Let n be i(-21). Let z = 10 + -7. Are z and n non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -25*a**4\/2 + 86270*a**3 + 36868545*a**2\/2 - 29784620*a - 14857810 = 0?\nAnswer: -209, -2\/5, 2, 7109","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -784325 (base 14) in base 2?\nAnswer: -1111100100111111101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 9 = g. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 - ((0 - (-5 - (4 - 2))) + -5)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l + 3*l - 3204. What is the tens digit of (l\/(-27) + -4)*3\/2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -313201300 - 202?\nAnswer: -313202102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**2 + 2*z - 1. Let i be j(3). Calculate the smallest common multiple of (-21)\/(-49) - (-50)\/i and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00592871913 rounded to 4 decimal places?\nAnswer: 0.0059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 72 - 51. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*q**2*y**4 - q**2*y + 4*q**2 - 28*q*y**4 - 41*q*y wrt y?\nAnswer: -24*q**2*y**2 - 336*q*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/5537 and -1\/931?\nAnswer: 105203","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 17*i**3 + 6*i**2 - 9*i + 4. Let t be p(-8). Let q = t + 11735. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - ((-42 - -36) + (-1 - (-12 + 1)))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -40230085, -40230106, -40230149, -40230220, -40230325?\nAnswer: -40230470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 417? (a) -5 (b) -1 (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(275) + 3*sqrt(275)) + 5*-3*sqrt(275) - (2 + (sqrt(275) + (sqrt(275) - (sqrt(275) + sqrt(275)*3 + 4)) - sqrt(275)) + -1))**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 576338.9 millennia?\nAnswer: 576338900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -2*c**3\/11 + 982214*c**2\/11 + 3928880*c\/11 + 3928888\/11 = 0.\nAnswer: -2, 491111","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 532*t = -3712 - 2884 - 4044 for t.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 213 + -240 + 35 + -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -139319052 minus -484577?\nAnswer: -138834475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 6*f**3 - f - 1. Let r be p(-1). Let y(a) = a + 5. Let d be y(r). Sort -3, -4, d.\nAnswer: -4, -3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-30)\/88 + 82\/328. Let r(v) = v**2 + 8*v - 3. Let l be r(-8). Which is the fourth smallest value? (a) 7 (b) l (c) -1\/7 (d) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*n - 2*n + 237 - 7*n.\nAnswer: -n + 237","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 116 a factor of 944159496?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 37 in -3\/7, 0.3, -0.3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 22322 + 3?\nAnswer: 22331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 3*y**3 + 6*y**2 + 4*y. Let d be 94\/8 + 9\/4. Let m(a) = -a**2 - 14*a**2 + 1 - 1 + d*a**2. Determine 4*m(q) + o(q).\nAnswer: 3*q**3 + 2*q**2 + 4*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/3 bigger than 5820405?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.489812837 and -312.1.\nAnswer: -311.610187163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and 86.\nAnswer: -344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4503.17 - -4503. Is -1\/25 bigger than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5*(-9)\/(-3)*97\/(-291)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-84)\/(-240)*6\/42?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 2*l - 85510 = 0, 0*l = 4*x - 4*l - 68420. Round x to the nearest 1000.\nAnswer: 17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -41*d**3 + 18*d**2 + 3*d - 4. What are the prime factors of i(-3)?\nAnswer: 2, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n + 13*n - 12 = 0. Suppose 0 = -2*r + n*f + 18, -25 = -r + 5*f - 0*f. Sort r, 1, 8 in ascending order.\nAnswer: 1, r, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q**3\/4 - 499*q**2 + 20051*q\/4 - 9027\/2 = 0. What is q?\nAnswer: -2006, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 36169 - 36164. Sort 6, 4, -1, -22, k in descending order.\nAnswer: 6, k, 4, -1, -22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the third derivative of -n**4\/6 - n**2. Suppose -6 - 22 = -4*g. Let v(o) = -2*o**2 + g*o**2 - 4*o**2 + o**2. Give v(k(f)).\nAnswer: 32*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) -8 (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(10\/9)*g\/g**4)\/(g**0*g*(g*g\/(g\/(g**(-11)*g)*g))\/g*g) assuming g is positive.\nAnswer: g**(64\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aal when three letters picked without replacement from alau?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7779557, 15559093, 23338629, 31118165?\nAnswer: 38897701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f + 1626 = 182*f - 2026 - 1928 for f.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**2 - 15*w - 17. Suppose -5*b + 2*t = 32, t + 4*t = 2*b + 17. List the prime factors of f(b).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 372859 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -158076674.\nAnswer: -1\/158076674","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes before 10:23 PM?\nAnswer: 8:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -109, -88, -7, 164, 455?\n\"Answer: 5*z**3 - 14*z - 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 26874 to the power of 1\/4, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 6*h = -3*a + 12, 4*h + 12 = 3*a. Suppose -9*n - 15 + 168 = h. What is the remainder when 64 is divided by n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 774598 - -0.1.\nAnswer: 774598.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99 = 3*b + 7*b - 7*b + 8*b for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -768 + 922. What is the highest common factor of 7 and t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 4873041.\nAnswer: -4\/4873041","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the second derivative of 7*b + 0 + b**2 + 1\/2*b**3. Calculate g(3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21222111 + -11?\nAnswer: -21222122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 3, w: 3}. What is prob of picking 1 w and 3 g?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**2 - 65*m - 57. Is u(-30) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -10*t + 146. Let y be u(10). Which is greater: 54 or y?\nAnswer: 54","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k**5 + 89*k**4 - 2415*k**3 + 25399*k**2 - 110684*k + 161700 = 0. What is k?\nAnswer: 3, 7, 22, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -18043*z**6 - 17*z**2 - 3*z + 13 wrt z.\nAnswer: -2165160*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.19104, -1\/3, -2, -576?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 4*p**3 - p**2 + 6*p + 3. Let g(l) = 15*l + 7 - 60*l**3 - l + 69*l**3 + 0 - 2*l**2. Let y(z) = -2*g(z) + 5*t(z). Calculate y(2).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7993 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*l**2 - 134*l**3 - 2 - 7*l + l**2 + 12*l + 135*l**3 - 30*l**4 + l**4 as j*l**4 + d + c*l**3 + f*l**2 + a*l and give a.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -997 or -998?\nAnswer: -998","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ab when two letters picked without replacement from aanyaasab.\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2722 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4976692 - 1731886643\/348. Let a = 32350\/87 - 1130\/3. Let s = b + a. Find the common denominator of s and 127\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3004750 and 44030.\nAnswer: 1190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the second derivative of g**6\/360 + g**5\/24 + g**4\/6 - g**3\/6 + 2*g. Let h(u) be the second derivative of a(u). Let o = -127 - -123. What is h(o)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*d + 2*d - 5*d)*(-2 - 2*d + 2) + 23 - 10*d**2 - 23 - 2*d**2 - 3*d + 3*d + (0 + 2 - 1)*(-d - d**2 + d))*(-2*d**3 + 2*d**3 + 2*d**3).\nAnswer: -22*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -8*m - 4 - 11*m**2 + 18*m**2 - 8*m**2. Calculate t(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*f - 24 = 1200. Let m be (-4368)\/9*81\/f*-1. What is m rounded to the nearest ten?\nAnswer: 1090","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*p**2*w*y - 33*p**2*y - 3280*p**2 - 106514*p*w*y wrt w.\nAnswer: -3*p**2*y - 106514*p*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4167 is divided by 160.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 2*v**5\/3 - 16*v**4 - 6*v**3 + 4672*v**2\/3 - 1536*v = 0.\nAnswer: -9, 0, 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -3*a + 69. Let p be y(16). Solve 0 = 2*n + 5*n - p for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 842993 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i - 3*t + 118 - 2749, 3*i + 5*t = -2623. Let o be (-40)\/200 - i\/5. Calculate the greatest common factor of 44 and o.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -200202212121021 + -1?\nAnswer: -200202212121022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7 + 40522625037387.\nAnswer: 40522625037394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/50015 and -73\/350?\nAnswer: 500150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + t + 11 = -m, 4*m - 2*t = 6. Solve -5 = -m*p + 7 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2009\/50 - -201\/5. Let g(b) be the second derivative of 0*b**2 - 1\/30*b**4 - m*b**5 + 2*b + 0 + 2\/15*b**3. Factor g(k).\nAnswer: -2*k*(k - 1)*(k + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*w + 6*w + 4 - 28 = 5*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*(35\/28)\/(5\/2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -11, 1\/12, -2, 0.55, -1\/5?\nAnswer: 0.55","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -84a0 (base 14) to base 16\nAnswer: -595c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*b**2 - 3*b + 8*b**2 - 2*b as m*b**2 + h + x*b and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 59888\/72 - (-4)\/18. Suppose 19*x - p = -7*x. Calculate the remainder when x is divided by 26.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 979, 1992, 3003, 4006, 4995?\n\"Answer: -s**3 + 5*s**2 + 1005*s - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-48)*q*q**(-2\/43)\/q*(q*q*q**(1\/7)*q)**(-35) assuming q is positive.\nAnswer: q**(-6796\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 338, 1486, 3392, 6050, 9454, 13598, 18476?\nAnswer: 24082","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c - h - 3, 0 = -3*c + h + 1 + 2. Factor 0*f**4 - 2\/9*f**5 + 0*f + 2\/9*f**3 + 0*f**2 + c.\nAnswer: -2*f**3*(f - 1)*(f + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -28*n - 22*n - 32*n + 7359746. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -115\/223328 and -85\/3094688.\nAnswer: 21662816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 1\/10, -1\/14, 1 in ascending order.\nAnswer: -0.3, -1\/14, 1\/10, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**2\/(f*(f*f**(3\/5)\/f)\/f)*f**(-1\/11)*(f*f**(1\/4))\/f*(f**(-10)*f*f\/f**(-4\/7)*f)**10 assuming f is positive.\nAnswer: f**(-96599\/1540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3216 and 12006132.\nAnswer: 48024528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1, 15, 47, 97, 165, 251, 355?\n\"Answer: 9*i**2 - 13*i + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8, 64, 176, 350, 592, 908, 1304?\nAnswer: 1786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -4*b**2 + b**3 + 2 + 8 + b + 11*b**2. Let n be w(-7). Suppose n*j = 9*j - 66. Is j a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 322 = -29. Let n(m) = m**3 + 20*m**2 - 19*m + 16. Let q be n(-21). Let t = q - h. What is the tens digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 36 + 84. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v + 26. Let m be o(-14). Let q = 4 + 0. Is 547 - (-2)\/((m\/(-3))\/q) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 - (1 + -2))\/((-45)\/(-270)). Let c(b) = -b**2 + 6*b + 2. Let r be c(x). Solve -4*f - r = -2*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-2 + sqrt(539) - sqrt(539)) + (4 + sqrt(539) - sqrt(539))*-6 + 4)**2.\nAnswer: 324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**3 - 8*n**2 - 9*n - 7. Let t be o(-7). Suppose 5*w - 3*a = 61, -5*w + 3*a = t*a - 47. What is the remainder when w is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 240 + 107861.614825\nAnswer: 108101.614825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(63) - 1*sqrt(6300))*-4)\/(-3*-2*sqrt(1089)).\nAnswer: 6*sqrt(7)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1160 - -1136 - (1 + -4 - -1 - 7).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 13) in base 3?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13943 is divided by 42?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/1)\/(111\/527916*-116).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**2 + 248. Let q(f) = -2*f + 112. What is b(q(c))?\nAnswer: 4*c**2 - 448*c + 12792","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -223 - 219938?\nAnswer: -220161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**3 - 8*h**2 - 4*h - 69. Calculate n(9).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p = -4*j + 23 - 51, 10*j + p + 5 = 14*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 140 + -135 + -10 + -2?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*1*sqrt(143) - sqrt(143) - sqrt(143))\/(sqrt(99)*-1))**2.\nAnswer: 52\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96 = 2*q + 2*q. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.7 - -0.3. Let v = 4.87 + 0.13. Let n = w - v. What is the third biggest value in 1, n, 2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42500670.\nAnswer: 2, 3, 5, 971, 1459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zkzzk. What is prob of picking 1 z and 1 k?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-130)*5*-1\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 4*c + 5*p, 4*c - 3*p = -c + 27. Suppose -80 = c*i - 338. What is the remainder when i is divided by 29?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 28365 - 27705. Calculate the smallest common multiple of 6 and z.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 6 = -p. Solve i = -p*i + 4*b + 20, 5 = i + 2*b for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**2 - 3*n - 4. Let q be s(4). Suppose 2*h + 6 = -q. Is 6 a factor of 6\/(-9)*45\/h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a kilometer in meters?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -d - d**4 - 2*d**2 - 5*d**4 + 2*d**4 + 4*d**3 + 8 + 5*d**4 in the form a*d**4 + w*d**3 + z*d**2 + b*d + s and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 7392 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 2*u + 3)*(-1 + 2 - 3) + 0*u + 4*u - 2*u + (0 + 3 - 5)*(-7*u - 5*u - 24*u) to the form x + p*u and give p.\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000246585 to seven decimal places.\nAnswer: -0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -68751.65 and -4?\nAnswer: 68747.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-4)\/3)\/(-4) - 52\/(-6). Let d(h) = -9*h - 39 - b*h - 8*h + 20*h. Calculate the smallest common multiple of d(-9) and 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*p**3 - p**5 - 4*p**3 + (p + p + 3*p)*(77*p**4 + 73*p**4 - 14 - 157*p**4).\nAnswer: -36*p**5 - 70*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60*r**3 - 60*r**3 + 170*r**3 - 61*r**3.\nAnswer: -11*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**3 - 3*v**2 - 55*v + 12. Let z be k(9). Suppose 5*m + 35 = 4*u, z = -m - 0. What is the remainder when 52 is divided by u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*h**2 + 64*h**3 - 8*h**2 + 2*h**2)*(-1 - h + 1).\nAnswer: -64*h**4 + 2*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -3554, -3557, -3560, -3563, -3566, -3569?\n\"Answer: -3*q - 3551","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 6, 0.073, -2, -1\/8, -6 in descending order.\nAnswer: 6, 0.073, -1\/8, -2, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 747143 and 4141?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 518294339 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(175) - (sqrt(175)*-2 + sqrt(175))*-2) + (-5*(sqrt(175) + 0))**2 + sqrt(175) + (-5 + (1 + sqrt(175) + sqrt(175))*-6)**2)*5.\nAnswer: 6600*sqrt(7) + 148480","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What is 0.00018476702 rounded to six dps?\nAnswer: 0.000185","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 6\/5 of a day?\nAnswer: 1728","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 4*u = -20008. Let v be 8\/(-20) - u\/5. What is v rounded to the nearest one hundred?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 47? (a) -2 (b) -1 (c) -10\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the third derivative of 0 - 138*l**2 + 5\/12*l**5 + 0*l**4 + 0*l + 0*l**3. Let q(w) = 4*w**2. Give g(q(d)).\nAnswer: 400*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5991921kg in milligrams?\nAnswer: 599192.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.03 and -191.\nAnswer: -5.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.3? (a) -4 (b) -0.0846 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14125844\/9 or 1569537?\nAnswer: 1569537","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 14\/839?\nAnswer: 14\/839","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 207432 a multiple of 258?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + 6 = -3*a, 41*p - 40*p + 7 = 4*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -6*b**2. Suppose -2*z + 10 = 0, 2*t - 5*z + 16 = -5. Let u(f) = f**2 + 4*f**t - 3*f**2. Calculate q(u(c)).\nAnswer: -24*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*(z\/(z\/(z\/((z\/(z\/z**(-2\/19)))\/z))*z*z))\/z)**(-43))**(-3\/16))**(-44) assuming z is positive.\nAnswer: z**(-1419\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -1 + 170 + -1 + -3 + 1?\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 883 + -865. What is the remainder when 48 is divided by o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 127771?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 313\/5 - 62. Let l = -24272 + 24271. Which is the smallest value? (a) l (b) k (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*-2*(sqrt(1200) + -1*sqrt(1200)))\/((sqrt(324) - (sqrt(324) - ((-3*sqrt(324) - sqrt(324)) + sqrt(324)))) + sqrt(144) + 1*sqrt(144)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 388.00000421 - 388. Round r to seven dps.\nAnswer: 0.0000042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13 + -15.8. Let d = -2.79887 - f. What is d rounded to 4 dps?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d - d - 85. Let i be d\/20 + (-2)\/8. Solve 0 = -a - i*a + 15 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 t, and 1 y when three letters picked without replacement from ycummmt.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 15702*j + 94247. Give h(-6).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 36, 27, 18, 9?\n\"Answer: -9*g + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3185 and 780180?\nAnswer: 496974660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m. Suppose 7*r = -37 + 30. Let b(s) = 2*s + 2. Calculate r*b(g) - 3*c(g).\nAnswer: g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the first derivative of -z**6\/180 - z**5\/12 - 8*z**3\/3 + 9. Let m(l) be the third derivative of p(l). What is the second derivative of m(u) wrt u?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*k = 154 + 131 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**2 - 1. Let t(l) be the second derivative of -7*l**4\/12 - 11*l**3\/6 + l**2 + 2*l. Let g(c) = t(c) - 6*u(c). Does 11 divide g(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 a when two letters picked without replacement from apfllllmpppllllla.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3, x: 2, p: 4}. Give prob of picking 1 x and 1 f.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 66587 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -106160645.\nAnswer: -2\/106160645","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8.5 + -8.1. What is the nearest to -8\/5 in -0.2, -4, c?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 590684808 by -1.\nAnswer: -590684808","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -100 + 97. Put -23, n, 0.2 in decreasing order.\nAnswer: 0.2, n, -23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46\/5 of a decade in months?\nAnswer: 1104","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1108935 by -2.\nAnswer: -1108935\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1330 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -115*c*u - 8*c + u - 715 wrt c?\nAnswer: -115*u - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 106 a factor of 21610?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(10\/3)*x)\/(x**8*x*x))\/(x*x\/x**(-2\/21)*x*x*x*x**(-1\/18)) assuming x is positive.\nAnswer: x**(-1223\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 388.099 - 387. Let v = 0.099 - u. Which is greater: v or -2\/27?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, s: 7, i: 5, u: 1, e: 1}. What is prob of sequence mmi?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o - 3. Let q be m(-3). Let y = q + 2. Factor 4*t + 2*t**2 - 4*t**3 + 6*t**2 - 2*t**2 + 0*t**y.\nAnswer: -2*t*(t - 2)*(2*t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29565196254 take away 0.04?\nAnswer: 29565196253.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -2011403 at most as big as -2011402?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 0*m**3 - 25*m + 0*m + 2*m**3 - 16*m**2 - 12*m**2 wrt m.\nAnswer: 12*m - 56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**2. Let s(i) = 2*i + 109383. What is s(g(l))?\nAnswer: -2*l**2 + 109383","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-1\/3))**38)**(-1\/5) assuming k is positive.\nAnswer: k**(38\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -205 + 12 - -95 - -18?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 6*c + 48 = 0. Solve -5*t + 2 + c = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.301434 rounded to one dp?\nAnswer: 6.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 11*o**3 - 2*o**2 - 38*o. Let f(m) = 14*m**3 - m**2 - 39*m. Calculate -4*f(y) + 5*z(y).\nAnswer: -y**3 - 6*y**2 - 34*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzz when three letters picked without replacement from {z: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-12 - 0)\/((-22)\/99). Suppose -j + 29 + x = 4*n, -3*n - 2*j + 56 = 0. Solve 4*s - 5*k = -15, n = -4*s - 3*k + k for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -289 + 213. Let n = -69 - z. Solve 2*l + 3*g + n = 0, -4*l + 5*g = -24 + 5 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + 5 = 3*z, z - 15 = -2*z - 3*r for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 + -5420568964\nAnswer: -5420568964.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 take away 36393455709142?\nAnswer: -36393455709142.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - p + 1 + 10 = 0, 2*p + 8 = 0. Suppose 0 = k*v - 16 - 2. Solve 0 = s - v*s - 25 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*i - 790488 = 12*i. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9 and 1368.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 27 = 3*o, -4*o = 4*t - 9*t - 18. Suppose -o*d = -4*d - 9. Solve -l = -2*l + 4*x - 13, 0 = l - d*x + 9 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-8)\/2)\/2 - -7. Suppose 311 = -3*b + 329. Suppose b*l - 2*l - q = 37, -17 = l + i*q. Solve -k - 2 = -d, 0 = -k - 3*d - d + l for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/(-10) + 269\/(-95). Let v be 1 - (-3 - (-78)\/(-57)). Let m = c - v. Find the common denominator of m and 17\/9.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 29.57 + -0.9\nAnswer: 28.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 150 and 400?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/140211795 and -38\/51575.\nAnswer: 701058975","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -40c (base 14) to base 10.\nAnswer: -796","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 142041329?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 2*w - 1027 = 4*j, -5*w + 1731 = 3*j. Let b = -341 + w. Solve 0 = -4*c + b, 2*q = -2*q - 5*c + 21 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 133 + -460*19\/76\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iildill. What is prob of sequence dli?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*m - 2*m + 9*m + 2*m.\nAnswer: 22*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -5*l + 11. Let j(y) = 2*y - 5. Let b(g) = -7*j(g) - 3*w(g). Let v be b(0). Suppose -7*i + 130 = -v*i. List the prime factors of i.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes before 4:50 AM?\nAnswer: 10:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 867 and 2023?\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2112 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 29 + 3*m + 6 + 581*m**3 + 232*m**3 - 10 - 6 wrt m?\nAnswer: 4878*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -25867.5 to the nearest one thousand.\nAnswer: -26000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 484*g - 393. What is b(1)?\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = -y. Suppose y = -4*z - 4 - 4. Let m be 1\/(-1 + 0 - 3). What is the second biggest value in m, z, 2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2 (b) -3 (c) 853 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, e: 1, n: 1, o: 2, l: 1, w: 1}. What is prob of picking 1 n and 1 v?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 287175, 287173, 287171, 287169?\n\"Answer: -2*j + 287177","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = y - 2. Let k(a) = -2*a + 3*a - 3 - y*a. Let m be k(-6). Solve 4*b + m = b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 820886, 1641784, 2462682, 3283580, 4104478, 4925376?\n\"Answer: 820898*d - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11721*g + 73*g**3 - 11721*g.\nAnswer: 73*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 - 7. Let w = 1 - c. Let k = -0.00152 - w. Round k to 4 decimal places.\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2699572 a multiple of 1268?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1935, 67 in ascending order.\nAnswer: -1935, -3, 67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 36 and -59\/6906.\nAnswer: 6906","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-126)\/35 + 2\/(-5). Let v be (6 - 8)*2\/n. Solve 0 = 2*b + z - 6 + v, -z + 5 = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**2 + 6*y + 7. Let x be r(-3). Let u(b) = -555*b + 2 + 1065*b - 1 - 528*b. Determine u(x).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((1 + sqrt(208))**2 - sqrt(208)*-1).\nAnswer: 12*sqrt(13) + 213","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-6)\/(-15))\/(2\/20 - 0). Suppose 76 = 4*m - 0*m. Sort -3, w, m.\nAnswer: -3, w, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (115\/(-500250)*60)\/(11\/(-5)).\nAnswer: 2\/319","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*g**2 + 0*g + 0*g)*(3*g + 3*g - 4*g)*(-1 + 0 - 1) to p*g**3 + k*g**2 + q*g + r and give p.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - i + 188 = 0, -4*t + 0*i - 5*i - 162 = 0. Let c = t - -61. What are the prime factors of c?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*z = -2345 + 2405. Let j(p) be the third derivative of -p**4\/24 + p**3 - p**2. Calculate j(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7537049?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/1620 and -53\/2430?\nAnswer: 4860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.0306 and 17.53?\nAnswer: 17.5606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 13*r**2 - 569*r + 1136. Calculate l(2).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 2*r = -f - 248, 3*f + 765 = r. Let w = 822 + f. Suppose -w = -9*x + 1331. What is the hundreds digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((-5*-2*sqrt(192) - sqrt(192) - (sqrt(192) + sqrt(192) + 1 + sqrt(192))*-3) + -1 + -1*sqrt(192)*-4)*1)**2.\nAnswer: 704*sqrt(3) + 92932","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-24*p - 90*p + 24*p)*(5 - 4 - 2) + (-5*p + 3*p + 4*p)*(2 - 3 + 2) - 3*p - 3*p + 5*p - 2 + 2 + 2*p)*(-4*p + p**2 + 4*p).\nAnswer: 93*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/(-12)*16\/10*249\/61088*16.\nAnswer: 3\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 4 = -d. Let m(f) = d*f - 2 + 2 - 2. List the prime factors of m(3).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*b**3 - 2 + 2 + 3*b**3 - 3*b + 3*b + (-4 - 2*b**2 + 4)*(-2*b - 2 + 2) - 3 - 2*b**3 + 3.\nAnswer: 2*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add -108 and -82.65.\nAnswer: -190.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*g = -2 + 9 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(((g*(g\/g**(1\/5))\/g*g)\/g*g)\/g)*g**(-4)\/g*(g*g**(2\/7))**(-35))\/(g**(11\/4)\/((g**(-9)\/g)\/g))**21 assuming g is positive.\nAnswer: g**(-6771\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -0.3 (b) 8009 (c) -31 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 38731?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the second derivative of -2\/5*x**5 + 7\/6*x**3 + 0*x**2 + 0*x**4 + 0 - 7*x. Find the second derivative of w(v) wrt v.\nAnswer: -48*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (15 - (50 + -40)) + (1 - (2 + 24))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 969 a factor of 11693374?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0352756 rounded to four dps?\nAnswer: -0.0353","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, p: 2, g: 4, b: 8}. What is prob of sequence ppb?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 1 - 1)*(4*o - 3*o + 0*o) + 43*o - 7 - 44*o + 3 in the form i*o + y and give y.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -860.01 - -864. Let r = h + 0.01. Suppose -w - 8 = p, 2*w + 26 = 6*p - 10*p. Which is the closest to -0.3? (a) r (b) p (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1430731 to the nearest integer?\nAnswer: 1196","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 + (-18 - -9) - 11) + -1 - -6.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6743 is divided by 1109?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -146*v + 151 = 881 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 967 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 b when two letters picked without replacement from iebbe.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m - 3*m + 3*m)*(2*m + 3*m - 4*m + 5*m - 2*m - 2*m + (3 + 2 - 3)*(-2*m - 3*m + 3*m) - m + 5*m - 3*m).\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -11476*p**3*z**3 - 4484*p**3 + 2*p**2 + p*z**3 + 2 wrt z.\nAnswer: -34428*p**3*z**2 + 3*p*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 110*s - 150 - 438 = 512 for s.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 0 = -h. Suppose -3*i = 0, 4*l + 15 = 4*i - 1. Is h greater than or equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-19) - ((-232)\/38 - 5). Let g be (-3)\/(-1)*(-44)\/(-6). Calculate the greatest common factor of y and g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1127 and 2?\nAnswer: 2254","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 7833*s - 337. Is z(44) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the first derivative of g**5\/30 + 11*g**4\/12 - 62*g**3\/3 + 2*g - 189. Let s(y) be the third derivative of l(y). Determine s(-7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 4*l = -w - 32, w - 4*l - 8 = 0. List the prime factors of 192 + 1\/(((-36)\/w)\/9).\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from ggppppppppppp.\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put together 663 and 0.1.\nAnswer: 663.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f + 84 + f**2 - 56 - 27. Let s(m) = -100*m**2 - 120*m - 120. Calculate -120*j(n) - s(n).\nAnswer: -20*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 - 3*g**4)*(g + 0*g + g) + 3*g**5 + 5*g**5 - 5*g**5 + (-2*g**2 + 2*g**3 + 2*g**2)*(-26*g + 26*g + 4*g**2).\nAnswer: 5*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -61 - -173. Calculate the highest common divisor of 14 and u.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 2 e, and 1 f when four letters picked without replacement from {c: 1, h: 1, p: 1, o: 1, f: 1, e: 2}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*t**3\/2 + 35*t**2\/4 + 25*t\/4 - 5.\nAnswer: -5*(t - 4)*(t + 1)*(2*t - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -19, -32, -21, 26, 121, 276, 503, 814?\n\"Answer: 2*n**3 - 27*n + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 i when two letters picked without replacement from cciici?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, j: 4, o: 3, x: 2}. What is prob of sequence xtj?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 29\/5 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the third derivative of -q**5\/210 - 23*q**4\/42 - 529*q**3\/21 - q**2 + 71. Factor n(p).\nAnswer: -2*(p + 23)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/10)\/(27\/(-30))*(-10716)\/82156.\nAnswer: -4\/69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 4698.4 and -0.4159?\nAnswer: 4698.8159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iau when three letters picked without replacement from {a: 1, u: 2, j: 2, q: 1, p: 1, i: 1}.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1207 and 43829791?\nAnswer: 1207","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((-4*sqrt(1008) - sqrt(7) - sqrt(7) - sqrt(7) - -4*sqrt(7)*5)**2 + (sqrt(700)*-3*5)**2 + 2).\nAnswer: 821145","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 590772 divided by -182\nAnswer: -3246","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:30 AM and 11:24 AM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1260.06 less than 1.325244?\nAnswer: -1258.734756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 111 - -3232443012?\nAnswer: 3232443123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 307611?\nAnswer: 3, 11393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16059 - 15643 = -0*w - 16*w for w.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000415579 to three dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the third derivative of t**4\/24 - t**3\/3 + 6*t**2. Let y(a) = -1. Let m(u) = -2*p(u) + 4*y(u). Let z(c) = -c**2. What is z(m(w))?\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -222677952 by 49.\nAnswer: -4544448","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 133 and 84303.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 681029328?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 to the power of 1\/2, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1388 is divided by 387.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 296934897?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 765816 is divided by 8702?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4048.\nAnswer: 2, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 73706?\nAnswer: 2, 137, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 <= 1\/2247?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -1\/4*b**4 - 1\/12 - b**2 + 1\/2*b + 5\/6*b**3 = 0.\nAnswer: 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 + 3. Suppose -2*g + g - 10 = r. Let t = 15 + g. Solve t*f - 28 = -0*f - 2*u, -5*f + 40 = 5*u for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-42)\/(-24) - 1\/(-4). Factor -2\/9 - 2\/9*o**k - 4\/9*o.\nAnswer: -2*(o + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*k**2 - 8*k**2 - 44*k**2 to v*k**2 + i*k + a and give v.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13753*q + 6696 = -13726*q. What is the remainder when 288 is divided by q?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -323164 by 3.\nAnswer: -323164\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**2 + 4*i - 1. Let j be w(3). Suppose -f + j*f = 0. Is -2\/11 <= f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j + 71 = 67 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b + 5*z + 30 = 0, 5784*b - z - 6 = 5779*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9239 is divided by 220.\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (8532\/65412)\/((-21)\/(-230))?\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 24\/7 - 3\/7*r**2 - 3*r.\nAnswer: -3*(r - 1)*(r + 8)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0111 rounded to 2 dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, r: 5, l: 1, a: 1, p: 3}. Give prob of sequence la.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 9846.454ns in seconds?\nAnswer: 0.000009846454","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -151*n**2 + 5 + 186*n**2 - 3 - 2 + 4*n**3.\nAnswer: 4*n**3 + 35*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 156214, 156206, 156192, 156172, 156146, 156114?\n\"Answer: -3*l**2 + l + 156216","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the second derivative of 17*s**3\/6 - 2*s**2 - 2*s + 35. Let o be c(8). What is the highest common divisor of 220 and o?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 96379?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9088?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 + 3 = -5*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-840)\/(-5130) - (-10)\/(-190))*48.\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -169*a + a**2 - 175*a + 14*a**4 + 339*a as n*a**4 + y + c*a**3 + b*a**2 + i*a and give i.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s - 2*i + 7, -5*s + 163*i = 161*i - 83. Solve -s = -5*b + 2*n, -2*b = -4*n - 73 + 51 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 94*y**2 + 13*y + 2. Let m be f(-2). Let j be m\/55 - (2 - 13\/5). Solve -5 - j = -4*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1791055m to kilometers.\nAnswer: 0.0001791055","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 25\/18 + -7\/6. Is 0 not equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -1 + (7 - 10\/1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-205)\/(-4)*((-4446)\/495 - -9) and -13\/1152.\nAnswer: 12672","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -5*i**3 - 145*i**2 + 305*i - 155 = 0.\nAnswer: -31, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.005 minus 568906513?\nAnswer: -568906513.005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, h: 1, m: 2, r: 4}. What is prob of picking 3 r and 1 m?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1, -0.079, 2\/21, -1\/6, 7\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -527 + 527. Which is the nearest to 0.03? (a) -10 (b) h (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:28 AM and 3:23 PM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -9590.\nAnswer: -1\/4795","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2291 (b) 2 (c) -0.1 (d) 2\/3 (e) -3 (f) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 8 - 0. Let w(u) = 33*u**2 - 7*u - 2. Let j be w(-1). Suppose -2*k + 28 = 3*a, 5*a - k = -0*a + j. Calculate the greatest common factor of o and a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -38165, -38164, -38163, -38162, -38161, -38160?\nAnswer: -38159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 20488*f + 7911 wrt f.\nAnswer: 20488","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 16 = 4*g. Solve -5*j + g*j = 2 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the first derivative of -m**3\/7 - 6*m**2\/7 - 9*m\/7 + 4. Factor j(t).\nAnswer: -3*(t + 1)*(t + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**3 - 3*n**2 - 2*n - 2. Let y be p(3). Suppose -3*b + 5*h = 992, 4*b + 6*h + 1276 = h. What are the prime factors of -4*(1 - b\/y)?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100111212 (base 4) in base 12?\nAnswer: 32886","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express o**2 + 151743*o - 151761*o + 0 + 0 - 2*o**4 in the form u + q*o**2 + y*o + j*o**4 + a*o**3 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001140703 rounded to seven decimal places?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4251 and 19.\nAnswer: -8.0769","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/455312 or 1?\nAnswer: 3\/455312","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.1, -0.2479, -2\/107, 0.1, 0, 2\/7, 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 115\/6954 and 35\/92598.\nAnswer: 1759362","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (36*d - 64*d - 40 + 29*d)*(-d + 3*d**2 + d) to g + l*d + y*d**2 + r*d**3 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -32204 * 12032.\nAnswer: -387478528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 88.47761ng in kilograms?\nAnswer: 0.00000000008847761","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i = 4*w - 6, 46*w - 43*w + 3*i = 3 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1301?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -45 - -41. Let r be (10\/(-36))\/(d + 42\/18). What is the nearest to r in -1, 3\/4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1150231 is divided by 134.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1904 and 10591.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -132\/5 - -26. Let o = -10.5 - -7.543. Let h = 0.043 - o. What is the third biggest value in h, q, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -96*q - 377. Determine v(-9).\nAnswer: 487","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = p + 2*p - 4, -3*u - 18 = -3*p. Let x(a) = -a**3 + 5*a**2 - 5*a + 6. Let z be x(p). Let d be 28\/10 + z\/10. Is d greater than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31200 (base 6) to base 7.\nAnswer: 15114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -291*q - 746. Calculate z(-6).\nAnswer: 1000","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 4*d - 9. Suppose -k + 10 = 4*t, 3*k + t = k + 13. Let l be x(k). Suppose 0 = 2*i - i - l. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3205334 is divided by 175.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16764 and 2244.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/900 and -7\/12.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*h - 1019 + 720. Calculate the remainder when 169 is divided by h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -m*r - 124*m + r**3 - 14*r + 3 with respect to r.\nAnswer: -m + 3*r**2 - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6047303 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -35*y**3 - 7*y**2 + 64*y + 6. Let v(w) = 6*w**3 + w**2 - 1. Determine g(r) + 6*v(r).\nAnswer: r**3 - r**2 + 64*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -99129 + 3\nAnswer: -99126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:30 PM and 4:32 PM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -1346*g - 3 - 14 + 4 + 1343*g. Give h(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -4 + (-65)\/(-15) - (-256)\/6. Suppose -2*n + 1296 = v, 1938 = -u*n + 46*n + 3*v. Calculate the highest common divisor of n and 50.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 11*h + 69. Let l be a(-6). List the prime factors of 2\/l*(-268)\/24*-27.\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13177476 divided by -78\nAnswer: 168942","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.05 in -141, 1\/4, 8.8?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 226625989 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -12807 (base 9) in base 13?\nAnswer: -3c43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.1 (b) 0.5 (c) 2\/3 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7*98\/(-343))\/(1236\/12)?\nAnswer: -2\/103","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1392*r - 3324 - 3334 + 6658 to the form m + x*r and give x.\nAnswer: 1392","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 58*n**3*y + 178*n**3 + 74*n**2 + 10*n*y + n + 30*y wrt n.\nAnswer: 348*y + 1068","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-36)\/30*(30\/(-18))\/1. Let l(z) = -z + 19. Give l(n).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*p**2 - 2*p**3 - 22 + 22)*(-129 - 143 + 145) as g + b*p + d*p**3 + z*p**2 and give z.\nAnswer: 381","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6650243 and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19, 29, 39, 43, 35?\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the third derivative of -3*n**2 + 0*n**3 + 0*n**4 + 0 + 1\/150*n**5 + 0*n. Let f(q) = 0. Calculate q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -44\/15 and 73\/25407?\nAnswer: 127035","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 171731 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 142 - 137. What is the derivative of -2 + 5*x - 38*x**2 - o*x - 42 wrt x?\nAnswer: -76*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/99 and -125\/53892.\nAnswer: 592812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 2\/7*y**2 - 2\/7*y**3 + 0 + 0*y = 0. What is y?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d**2 - 239026685*d = 0 for d.\nAnswer: -47805337, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 2*p**3 + 15*p**2 - 145*p + 20. Is 15 a factor of s(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (10 - (-4 - (-5 - -3)))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 13) to base 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 409 by -95.\nAnswer: -409\/95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 105612\/(-432) - ((-60)\/27 + 2). Let w = k + 245. What is y in w*y**2 + 1\/4 - 3\/4*y - 1\/4*y**3 = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f + 1. Let b(h) = 2*h**2 - 6*h - 6. Let d(v) = -b(v) - 6*c(v). Let t(z) = -151*z. What is t(d(m))?\nAnswer: 302*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-3)*2\/8*2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 9*g**2. Let b be (-9)\/((-99)\/(-110)) + (-490)\/(-48). Let t(l) be the third derivative of 0*l + 25*l**2 + 0 - b*l**4 + 0*l**3. Calculate t(f(c)).\nAnswer: -45*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 47111228 and 615884.\nAnswer: 7796","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -924*t + 361*t**2 + 924*t in the form y*t + j*t**2 + m and give j.\nAnswer: 361","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -212088 - -5?\nAnswer: -212083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 19124.124 + -19180. Let d = -56 - w. What is d rounded to two dps?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**3 - 28*x**2 + 2*x + 62. Let s be o(-28). Suppose -10*q + 772 = -s*q. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 27 divided by 2\nAnswer: 27\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 178935*q + 894651. What is v(-5)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 140*w**3 - 20*w**3 - 24*w**3 + 29*w**3 - 14*w**3.\nAnswer: 111*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 3, f: 2, v: 1, p: 6, o: 1, u: 2}. Give prob of sequence pop.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1176 + 1441. What is the remainder when l is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 2154, 2152, 2150?\n\"Answer: -2*s + 2156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1163, -5 in decreasing order.\nAnswer: 4, -5, -1163","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 3*v = -39, -4*v - 36 - 34 = -5*t. Let h = 32 - t. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 164 a factor of 60646?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*t**2 + 805*t + 2460.\nAnswer: -5*(t - 164)*(t + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-15)\/(-6) - 3)*-4. Suppose c*i - i + 2100000 = 0. Round i to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15601?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**1\/b**(-6)*((b*b\/(b\/b**(-1))*b*b*b)\/b)**(9\/5)*(b*b*b\/((b\/b**(1\/2))\/b))**(-2\/5)*(b\/b**1)\/(b*b*(b**(-4\/7)*b)\/b) assuming b is positive.\nAnswer: b**(272\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**2 + l. Let m be f(2). Calculate the least common multiple of 14 and (-8 + 6)*(m - 0).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9895, 22810, 35725, 48640, 61555?\nAnswer: 74470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 115 + -cb?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -20591 - 0?\nAnswer: -20591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*n - 5*n + 13*n + (n - 4*n - 6*n)*(0 + 2 - 4).\nAnswer: 34*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/36 and 127\/18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) -2\/5 (b) -949 (c) -1\/2 (d) -2\/3 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 + -6 + 3564\/9. Let y be ((-124)\/(-3) - -2)\/(1\/9). Which is bigger: g or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 4, e: 1, w: 1, j: 2}. Give prob of picking 4 i.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4410 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-15267)\/6)\/(-7)*(2 - -2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + 22 = 4*v, 0 = -2*v + 3*s + s + 14 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -44255216*w**3 + 25*w + 2129410 wrt w.\nAnswer: -265531296*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 3. Let u(g) = g + 4. Let r(w) = 3*u(w) - 4*v(w). Let c(x) be the third derivative of -x**4\/24 + 3*x**2. Calculate r(c(o)).\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sx when two letters picked without replacement from kkxsxxkkkxxxksxkxxxx.\nAnswer: 11\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -296336 + 1549226. Let v(c) = -202891*c**3 - 2*c**2 + 1. Let w be v(-1). Suppose -5*x - w = -n. Round x to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -114, -185, -370, -723, -1298, -2149, -3330?\n\"Answer: -9*x**3 - 3*x**2 + x - 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 25 = -47. Suppose 4*k + 5*f + v = 215, 185 = 5*k + 5*f. Does 3 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 + 13)*(2 - z - 9*z - 3).\nAnswer: -140*z - 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 374212, 373802, 373392?\n\"Answer: -410*b + 374622","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -102 + -1?\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 4*j + 9. Let v(g) = 13*g - g - g - 4*g. Determine v(w(r)).\nAnswer: 28*r + 63","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -b - 4, 4*r + 1 = -b - 3. Suppose -5*j + 3*t = t - 180, r = 2*j + t - 72. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*a**2 - 2*a**2 + 9*a**2 + (-4*a**2 + 2*a**2 + 3*a**2)*(187 - 529 + 1 - 475) as g + z*a + i*a**2 and give i.\nAnswer: -809","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (95 - 643 + 2709)*(-k + 3*k - 4*k) - 5*k + 4*k + 4*k.\nAnswer: -4319*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 958?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t - 2. Let f(h) = 4*h - 7. Let a(r) = 2*f(r) - 7*l(r). Let v(x) = x**2. Calculate v(a(c)).\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a second in milliseconds?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 289.9971945 and 0.02?\nAnswer: 289.9771945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 35687741 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 575 = -h, 3*h - 4*h - 461 = 4*v. Let d = 120 + v. Solve -5*g - 1 = -d for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -133002332000 (base 4) in base 2?\nAnswer: -11111000010111110000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/n**(1\/3)*n**(-1\/2)*n**(1\/3)\/((n\/(((n\/(n*n**3\/n))\/n*n)\/n))\/n)*(n**(1\/4))**(-2\/149)\/(n**(1\/4))**(-20) assuming n is positive.\nAnswer: n**(372\/149)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 831 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:30 AM and 9:12 PM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/3)\/(14\/21)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/14*(-2)\/1. Let m = 16 - 12. Let p be (-4)\/16*-5*m. What is the closest to -1 in -3, s, p?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bcgybguuo. What is prob of picking 1 c and 1 y?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17 + 19. Put -5, n, -1 in increasing order.\nAnswer: -5, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*d = -152 + 222 - 178. Let k(i) be the third derivative of -i**2 + 0 - 1\/24*i**4 + 0*i - 4\/3*i**d. What is k(-6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -82*g - 39*g + 4*g**2 + 2*g**2 - g - 40*g as w*g + v + s*g**2 and give s.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes after 7:57 AM?\nAnswer: 12:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((3 + (-1 + sqrt(176))**2 - 5*(1 + sqrt(176)))*6 + 2).\nAnswer: -168*sqrt(11) + 1052","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(495))\/sqrt(5)*-4)**2.\nAnswer: 14256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.09699818 + -0.097. Round o to seven dps.\nAnswer: -0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110*i - 210*i = -3840 for i.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8905675?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the second derivative of -n**5\/20 - n**4\/4 - n**2 + 11*n. Let w(f) = -5*f**3 - 13*f**2 - 9. Let m(l) = -18*r(l) + 4*w(l). Factor m(v).\nAnswer: -2*v**2*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2461 + 2460. What is the nearest to -1\/279 in 0.1, -2\/11, -0.3, j?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.1 and 800.578857?\nAnswer: 800.678857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*b - 2*b + 10 = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-12))\/(105\/(-252))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 3*g + 12. Let q be t(-5). Sort 2\/3, 4\/3, q.\nAnswer: q, 2\/3, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 516 * -15417\nAnswer: -7955172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -39786, -79569, -119352?\nAnswer: -159135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes after 6:06 AM?\nAnswer: 9:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a45 + -4?\nAnswer: -a49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000111 + -11011000?\nAnswer: -100011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 933?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 8 + 4 = -5*g, 4*g + 16 = 4*n. Suppose n*i = 3*i - 4. Suppose 8 = -2*f + i*r - 0, 0 = -f - 2*r + 12. Solve 15 = m + f*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((((g*g\/g**12)\/g)\/g)**(-21))**17)**(-1\/15))**6 assuming g is positive.\nAnswer: g**(-8568\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.0412201 and -0.4?\nAnswer: 0.01648804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Total of -126569 and 2.\nAnswer: -126567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**(5\/7))\/u**(-7))\/(u**10\/(u*u**(-14)*u)) assuming u is positive.\nAnswer: u**(-103\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.104 and -24.1?\nAnswer: 23.996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -33 + 36. Let x be h - (-3)\/(2 + 1). What is the closest to -1 in 0, -5, x?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1062\/(-885) + (-11)\/(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1\/4, -1, -1\/2 in increasing order.\nAnswer: -2, -1, -1\/2, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 k, and 1 v when three letters picked without replacement from vzvvkmt.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21450103 (base 6) to base 10.\nAnswer: 644151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f - 83*f**2 + 83*f**2 + 2*f**3.\nAnswer: 2*f*(f - 1)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 196 = -19*a - 13 for a.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(80) - (0 + sqrt(80) + sqrt(80))*4)**2 + 2*(sqrt(80) - 1*sqrt(80))**2 + 2).\nAnswer: -11766","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2676, -3112, -3550, -3990?\n\"Answer: -c**2 - 433*c - 2242","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -33\/4 or -7?\nAnswer: -33\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/17 (b) -0.3 (c) 306\/17543 (d) 3\/4 (e) 11 (f) -4 (g) 1\/3\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 43 + -40. Suppose 2*j + 2*l = 6, -2*j + 3*l = -0*l - 6. What is the remainder when u is divided by j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i - i + 294. Suppose -5*v + v = 4*h - 200, -h + i = 2*v. Suppose -5*l + v = q - 33, 0 = -q + 1. Is l a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the first derivative of 10*u**3\/3 + 2135*u**2\/2 + 1065*u - 1630. Solve b(i) = 0 for i.\nAnswer: -213, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 291157 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16296 - 16294. Suppose 3*a + v - 3 = 0, 5*a - 5*v + 15 = -0*a. Factor 0*q + a + 1\/3*q**5 - q**4 + q**3 - 1\/3*q**c.\nAnswer: q**2*(q - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -3*n - 4. Suppose n*y + 73 = 131. Suppose -64 - y = -c. What is c rounded to the nearest ten?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/5? (a) -9 (b) 2 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8.0448 - 633056.\nAnswer: -633064.0448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -66\/26525825 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 106 a factor of 1040786618?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**3 + 6*d**2 - 4*d + 3. Let z be h(6). Calculate the remainder when 35 is divided by ((-90)\/z)\/(6\/28).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 123 (b) -19 (c) -0.07 (d) 2\/23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7282524 to the power of 1\/2, to the nearest integer?\nAnswer: 2699","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 10264 times 0.1\nAnswer: 1026.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10152300 divided by -5076150.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26, -3\/4, -0.4, -1.6, 978, 0 in increasing order.\nAnswer: -1.6, -3\/4, -0.4, 0, 26, 978","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, 57, 1, 2\/27.\nAnswer: -3, -1, 2\/27, 1, 57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -8 + 14201151?\nAnswer: 14201142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 474507840 to the power of 1\/2, to the nearest integer?\nAnswer: 21783","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2409, 17841, 43553, 79539, 125793?\n\"Answer: -t**3 + 5146*t**2 + t - 2737","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**3 - 9*i**2 - 9*i - 3. Let o be s(-7). Let l = o - -63. List the prime factors of l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, 87933, -0.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -54 or -56?\nAnswer: -56","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 533 + -531. Let u = -10 + 14. Suppose u*l + f = 1, 5 = -2*l - 0*f + 5*f. Sort l, 1, s in decreasing order.\nAnswer: s, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.4359485 millimeters?\nAnswer: 435.9485","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 148*w**3 + 8*w**2 + 7*w + 4. Let u(b) = -297*b**3 - 18*b**2 - 12*b - 7. Calculate -7*q(i) - 4*u(i).\nAnswer: 152*i**3 + 16*i**2 - i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-66)\/(-77)*11\/495*-15?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*(3\/10)\/1.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 5, h: 8, j: 1, y: 2, t: 2}. Give prob of sequence hh.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -27 + -846b?\nAnswer: -8496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*g - 3*g. Suppose -97 = s + 5*h - 79, -72 = -4*s + 4*h. Suppose g*n = s*n - 1308. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -7*l - 6. Let o be y(-3). Suppose 20*i - o = 17*i. Suppose -4*d + 54 = i*d. Solve -2*p - 3*f - 6 = -2*f, -3*p = 3*f + d for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 3*n - 215 = -n, 0 = 5*z + 2*n - 1015. Suppose 3*t = -46 + z. Does 11 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 336489 to the power of 1\/2, to the nearest integer?\nAnswer: 580","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-1\/7)\/(c*(c\/c**(-2\/11))\/c*c))\/((c\/(c**(-3\/2)\/c))\/(c**(4\/9)*c)))**39 assuming c is positive.\nAnswer: c**(-78923\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 70 and 315.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3\/(-1))\/(132\/(-88)). Put o, 4, 3, -17\/2 in descending order.\nAnswer: 4, 3, o, -17\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -2*j**3 + 17*j**2 + 6*j. Let l be z(8). Calculate the highest common divisor of 14 and l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1132*w + 75*w - 2502 = 1726 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 110208 and 799008.\nAnswer: 3196032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*((sqrt(99) - 3*sqrt(99))*3 + sqrt(99) + -1*(3*sqrt(99) - sqrt(99) - sqrt(99))))\/((2*sqrt(72))\/(sqrt(2) - (sqrt(2)*3*-2 - sqrt(2)))))**2.\nAnswer: 39600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the second derivative of 0*z**2 - 5\/3*z**3 + 0*z**4 + 49*z + 49\/30*z**6 + 0*z**5 + 0. Find the second derivative of o(c) wrt c.\nAnswer: 588*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*i + 19*i**3 - 44*i**3 + 24*i**3.\nAnswer: -i**3 - 4*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 259 less than 99171?\nAnswer: 98912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 5*t - 19. Let c(u) = -3*u + 10. Let i(w) = -7*c(w) - 4*h(w). Determine i(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5443*v + 1362*v + 1341*v + 1363*v + 1402*v.\nAnswer: 25*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2.649 - -2.649. Sort c, -18.5, 2 in descending order.\nAnswer: 2, c, -18.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 329 is divided by 34.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 h, 1 a, and 1 p when four letters picked without replacement from hhavvvphppvvhhhmmv.\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10*((-96)\/(-30))\/(-8).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 104 and 32.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 128*f + 12*f**5 - 235*f + 122*f wrt f?\nAnswer: 240*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/((384\/(-36))\/(-16))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*x + 12 = -60*x - q, 5*q = 5*x - 35 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*a + 4*a + a)*(-2 + 4 - 1) + 10*a + 7067*a + 13271*a - 2106*a.\nAnswer: 18243*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -2*o**2 - 2*o + 1. Let m be g(-2). Let s(p) = -84*p + 167. Let n be s(2). Put n, 16, m, 4 in decreasing order.\nAnswer: 16, 4, n, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:11 AM and 4:55 PM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -12\/7*s**3 - 2\/7*s**5 - 6\/7 - 4\/7*s**2 + 10\/7*s**4 + 2*s = 0.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes after 7:01 PM?\nAnswer: 9:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(1\/(-1 - -3)). Suppose 0*s = j*s + y - 24, 0 = s - 3*y - 6. Suppose -4*w - 56 = -s*w. Does 14 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 - -41?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 7*v + 240. Let y(m) = 3*m + 121. Let z(x) = 4*u(x) - 7*y(x). Let j be z(-15). Solve -4*a + 10 = -3*s, -2*a + j = -5*s - 4*a for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**5\/h*(h\/h**21)\/h)**14 assuming h is positive.\nAnswer: h**(-238)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 4*d - 3. Suppose -2*n = 3*n + 4*l + 152, 0 = -5*n - d*l - 149. Let j = n + 65. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14)\/(-60)*12996\/22743?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1325367344 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/15960 and -107\/42560?\nAnswer: 127680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 202*u - 1425. Give d(7).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 4*c - 380, 5*c = -3*b + 93 + 383. Is 15 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11789.\nAnswer: 11789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**(-2\/13)\/p)\/p**(-2\/11))\/((p\/p**(-8))\/(p\/((p*p*p\/p**2)\/p))))\/(p**(3\/7)*p*((p*p\/(p\/p**(1\/6)))\/p*p)\/p)**35 assuming p is positive.\nAnswer: p**(-55603\/858)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (3 - (9 + 3)) + (171 - 155)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 1169?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -19.099831053421 and 0.5?\nAnswer: 19.599831053421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5 + (6 - 13) + 12?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*t**3 + t**3 - 57*t + 63*t - 89*t**2.\nAnswer: t**3 - 89*t**2 + 6*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*o + 34 - 40 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -98, -100, -102, -104, -106, -108?\nAnswer: -110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*h**2 + 0*h**5 + h**5 + 2*h**2 + 0*h**5 - 3*h**5 + h**5 + (-h**4 + 0*h**4 + 2*h**4)*(4*h + 3 - 3).\nAnswer: 3*h**5 - 2*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2223333 (base 4) in base 12?\nAnswer: 6453","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 2 h when three letters picked without replacement from jhshjhthjhsjhjshjh.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-92)\/10)\/((-8)\/20). Suppose 3*p + 8 = -3*l + r, 2*p - 1 = l. Let m = l - 8\/3. Which is the biggest value? (a) -1 (b) -0.3 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -4*r. Let f(a) = 4*a - 99 + 99. Let g(z) = 2*f(z) + 3*q(z). Let h(p) = 2*p**2. Calculate h(g(l)).\nAnswer: 32*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 9 + -6372107?\nAnswer: -63720a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/(-14) + (-46)\/14. Let a be -1*((-9)\/(-4) + (-7 - -6)). What is the nearest to 2 in 0.4, a, m?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 20970 to the nearest integer?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from uujxbjjxjxbwuxxxj?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -48, -45, -40, -33, -24, -13, 0?\n\"Answer: w**2 - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 3634 = -0*t + l, 0 = 2*t + l - 2421. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (11 - (13 + -10)) + -2?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 151129897 to the nearest integer?\nAnswer: 533","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3\/4153 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -18 - -15. Let p = q - -5. Suppose -4 = -m + p. List the prime factors of m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*m + 0*m - 3*m - m.\nAnswer: -8*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57\/2*h - 1\/2*h**3 + 8*h**2 + 0 = 0 for h.\nAnswer: -3, 0, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -3 (b) -9 (c) 3 (d) 1 (e) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -3, 1, -2\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(-95) + (-1557)\/(-171) + -12\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16943428 to the power of 1\/3, to the nearest integer?\nAnswer: 257","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y + 10. Suppose -3*s + 0*n - 44 = -2*n, 4*n = 16. Let x be h(s). Suppose -z = -0*z. Which is the closest to z? (a) x (b) -7 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 11*l = 3270. Let s be l\/2*(-4)\/(-6). What is the tens digit of ((-1)\/((-3)\/(-6)))\/(2\/s)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x + 10. Let f be l(-7). Let t(o) = 8*o**f + 3*o**2 + o**3 - 7*o - 5*o**2 + 2. Let z(i) = -5*i**3 + i**2 + 4*i - 1. Calculate -4*t(k) - 7*z(k).\nAnswer: -k**3 + k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**2 - 4*v + 17. Calculate the remainder when m(-8) is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (15 - 14) + (3 - 5) + 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8\/23 in 9, -5, 4, 2\/21?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, t: 10}. Give prob of sequence tt.\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*a**3 - 23*a - 659*a**2 + 330*a**2 - 3*a**3 + 329*a**2.\nAnswer: a**3 - 23*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 6377285 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the third derivative of -3\/2*p**3 + 3*p**2 - p + 0*p**5 + 1\/12*p**4 + 0 - 13\/70*p**7 + 0*p**6. What is the second derivative of l(x) wrt x?\nAnswer: -468*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z = -d - 7, -4*z + 30 = -2730*d + 2725*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -56 divided by -3.\nAnswer: 56\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 561739671 less than 561739671?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -24030 - -1020?\nAnswer: -23010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = j + 13. Let l(z) = -z**3 - 8*z**2 - 14*z - 1. What is the remainder when l(-9) is divided by j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 65\/26*-2 - 63\/7.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.4, 0.01, 4, -15, -3\/2, -3, -36\/257?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, s: 12}. Give prob of picking 4 s.\nAnswer: 9\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes before 12:06 PM?\nAnswer: 6:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -7*b - 5. Let g be y(-10). Suppose -6*i + i - g = 0. Let x(u) = -u - 3. Let p be x(i). Calculate the highest common divisor of p and 110.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -72.9 - -77. Let j = g + 7.5. Round j to the nearest integer.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3507 - 39015 = -41*i + 61375. Is 113 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-4)\/(-10) - 326\/(-10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**3 - 11*o**2 - o - 16. Let s be f(-11). Let d be 1*3*s\/20. Which is the second smallest value? (a) d (b) -0.3 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -14 + 5*16181\/5775. Let j(x) be the second derivative of -1\/42*x**4 + 0*x**2 + 0 + 1\/70*x**5 - 14*x + u*x**6 - 1\/21*x**3. Factor j(y).\nAnswer: 2*y*(y - 1)*(y + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -253*b + 1. Let y(r) = -r**2. Determine y(g(i)).\nAnswer: -64009*i**2 + 506*i - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 + -983?\nAnswer: -982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -13022*x**4 - 1355?\nAnswer: -52088*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 - 8. Suppose -2*n - 35 = -3*p, -m*n - 11 = 1. Suppose -15 = -4*b + p. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = j - 6*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/32284 and -149\/147720.\nAnswer: 1192248120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -19973*r**2. Let k(q) = 58*q**2. Determine v(k(m)).\nAnswer: -67189172*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4762680 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*d**2 - 348*d + 251*d + 1026*d.\nAnswer: -3*d**2 + 929*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of g**4 + 55773*g**3 - g**2 + 88995113*g wrt g?\nAnswer: 12*g**2 + 334638*g - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -20634.79918 + -0.3.\nAnswer: -20635.09918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z + 8 + 2. Let x(f) = 2*f - 9. Let m be x(z). Is 1 + -1 - (-332 + m) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1713 to the power of 1\/2, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-65)\/30*-4)\/((-4)\/(-6)). Suppose 0 = 9*c - m*c + 28. Let b(a) = a**3 - 5*a**2 - 15*a + 5. Give b(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the first derivative of q**3 - 117*q**2\/2 + 1122*q + 9182. Find p, given that h(p) = 0.\nAnswer: 17, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 7 - 14*o + 2*o**2 - 3*o**2 + 6*o. Let i(n) = -19*n - 26. Let g be i(-1). Calculate the remainder when v(g) is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 3*b**2. Let r = -4 - 4. Let i(u) = -16*u. Let d(x) = -x. Let j(z) = r*d(z) + i(z). Calculate m(j(c)).\nAnswer: 192*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**2 + 4*d + 2. Let p(l) = -l**2. Let c(g) = -3*g - 2. Let q(n) = c(n) + p(n). Let w be (5 + 1)\/(1 - -1). Give w*q(a) + 2*o(a).\nAnswer: -a**2 - a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 21\/2 of a meter?\nAnswer: 1050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -46 + 41d24a?\nAnswer: 41d204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(77)*2 - sqrt(77))*-6)\/(sqrt(42)\/sqrt(6)*-3*-6).\nAnswer: -2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 4*b + 5*f - 195, 5*f - 125 = -3*b. Let o = b - 17. Suppose 4*c - o - 6 = 0. Is 2 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide (484\/176)\/((-2)\/(-8))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/205838 and 101\/14.\nAnswer: 1440866","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3276 and 24.\nAnswer: 6552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.083388784 rounded to four decimal places?\nAnswer: -0.0834","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, 3, -1737157, -1, -20?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -353 - -353. Let s(r) be the second derivative of 0 + 5\/12*r**4 + 13\/2*r**2 + l*r**3 - 7*r. What is the derivative of s(h) wrt h?\nAnswer: 10*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 120 = 3*j, -2*z - 3*j + 13 = -92. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 175112?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.91 + 0.01. Let y = v + 0.7. Put y, 1\/9, -2 in descending order.\nAnswer: 1\/9, y, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**3 - d**2 + d - 1. Let f = -24 + 23. Let v(h) = 9*h**3 + 7*h**3 + 6*h + 9*h**3 - 6*h**2 + 0*h**3 - 26*h**3 - 5. Determine f*v(s) + 6*m(s).\nAnswer: -5*s**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 2)\/(-50 + 132088\/2640).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p + 3*p - 6*p)*(1265*p**4 + 302*p**3 - 302*p**3).\nAnswer: -2530*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*s + 29 - 37, 4*k + 5*s = -40 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10712 and 12443327.\nAnswer: 1339","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(-21)*-1 - (-156)\/28\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -93*m**2 - 34400 + 34400 - 90*m + 3*m**4.\nAnswer: 3*m*(m - 6)*(m + 1)*(m + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 3980.57 and -0.7?\nAnswer: 3981.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -963*o - 927*o - 871*o - 978*o to a*o + j and give a.\nAnswer: -3739","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -21595280 to the nearest 10000.\nAnswer: -21600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12 (base 8) to base 6.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.94 - -2. Put -4, -0.1, o in descending order.\nAnswer: o, -0.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/5)\/(231\/(-70)) + 460\/345.\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -18 in -0.3, -24736, -36?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 860\/(-8)*(-18)\/15. Suppose 0*b + 3*b - 4*c = 14, 0 = -b + 2*c + 4. What are the prime factors of g\/9 + 4\/b?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16031.\nAnswer: 17, 23, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**2 + 3 + 4*y + 4 + 2*y. Let o(l) = -l + 1. Let c be o(-5). Is x(c) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**3 - 2*j**2 - 5*j + 92. Calculate u(0).\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12684.\nAnswer: 2, 3, 7, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2548 - 2314 = -2*q. What is the remainder when q is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:03 AM and 10:04 AM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 14630314 to the nearest integer?\nAnswer: 245","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d**2 - 5*d**2 + 5*d**2)*(-2*d + 0 + 0) + 16*d**2 - 616*d + 616*d - 2*d**3 - d**2 - 4*d**3 + d**2.\nAnswer: -8*d**3 + 16*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30241214 (base 5) to base 10.\nAnswer: 243309","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:35 PM and 2:34 AM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 35312749?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**3 - 6*z**2 - 22*z + 65. Suppose -4*j = -a - 4, -2*a + 19 = 5*j - 4*j. What is the remainder when 186 is divided by y(a)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3260367 divided by 11\nAnswer: 296397","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*d**2 + 12*d**6 - 3*d**6 + 0*d**6 - 5*d**6 wrt d.\nAnswer: 480*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -7*x + 6*x. List the prime factors of -4 + (31 - (x + 4)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.06 and -2.191.\nAnswer: -2.131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 96926?\nAnswer: 2, 48463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve w = 20*n - 23*n + 7, -5*n - 5*w + 5 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -17*i - 70. Is r(-16) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 4*b**3 + 2*b**2 - 3*b + 1. Calculate k(2).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, q: 2, u: 1, n: 4, m: 2, e: 2}. What is prob of picking 1 n and 1 m?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 965, -3, -10, 5, 3, 2 in descending order.\nAnswer: 965, 5, 3, 2, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/(-112) - (-1 - 25\/8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (105 + 23 - 9)*(3 - 6 - 4 + 2*u).\nAnswer: 238*u - 833","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 95.071582 rounded to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (2\/(-18))\/(6\/153)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - 3) + -4 + 7\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 + 7 + -8 + 0 + 3 + 1?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1017, -4044, -9081, -16122, -25161, -36192, -49209?\n\"Answer: k**3 - 1011*k**2 - k - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 89*r**3 - 3*r**2 + 3*r - 33. Is q(4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:41 PM and 1:15 AM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -110 - -109.9. Let w = -4727\/395 - 21\/158. Let j = w + 25\/2. Which is the second biggest value? (a) j (b) -2 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2656 - -2a?\nAnswer: 2681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 26.87, -0.4, 4\/9, -3\/11, -2, -3?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/70 and 77\/16?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7732855.\nAnswer: 5, 13, 118967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 y, 1 u, and 1 w when four letters picked without replacement from {v: 5, y: 4, u: 1, w: 5}?\nAnswer: 20\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeeeeeeeee. Give prob of picking 3 e.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -23109708, -46219416, -69329124, -92438832, -115548540?\n\"Answer: -23109708*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 1653?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 6*f - f. Put 3, -5, 15, f in increasing order.\nAnswer: -5, f, 3, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 226 less than or equal to 3435?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 4*g + 17 = 4*y, 2*y + 5*g - 25 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-138)\/(-3)*30\/(-35). Let h = 39 + b. Sort -5, h, -2\/23, 2 in descending order.\nAnswer: 2, -2\/23, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15728 - 11260*u + 15729 - 31457.\nAnswer: -11260*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -60.5 - 25.5. Let t = h + 86.000058. Round t to five dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**2 + o + 3. Let q(s) = s + 1. What is 3*q(c) - z(c)?\nAnswer: -c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.2, -2509, -0.5?\nAnswer: -2509","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 72.80096 milligrams to grams.\nAnswer: 0.07280096","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 434 - -3066?\nAnswer: 3500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 45418 + 292b?\nAnswer: 47d45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**3 - 13386*z**2 - 322416*z.\nAnswer: 2*z*(z - 6717)*(z + 24)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes after 4:54 AM?\nAnswer: 6:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-711)\/(-790)*(-60)\/(-9).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*i**2 + 0*i**2 + 0*i**2)*(-14763 + 48*i + 48059 - 15520 - 16166) to b*i**2 + u + j*i**3 + t*i and give b.\nAnswer: 3220","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97*b + 3*q + 2412 = -96*b, -5*q - 7224 = -3*b. Is 2405 <= b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 3*v + 113. Give m(-22).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1374, -2746, -4118, -5490, -6862?\nAnswer: -8234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a millisecond in microseconds?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 406275707.\nAnswer: 17, 163, 146617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.1, -11.57, 18?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}