{"text":"Question: Let y be 16\/(-12) - 2254\/(-21). Suppose -h + 11 = -0*h. What is the remainder when h is divided by y\/53 - 4\/(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -f + 2*j + 15, -50*f + 46*f + 3*j + 35 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 1107.3 * 5\nAnswer: 5536.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = -40*o - 51. Let k be t(21). Let s be k\/(-2) + (-8)\/16. Suppose 21*c - s = 16*c. List the prime factors of c.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**5*q*q\/(q\/(q*q**(-2\/13))*q*q*q))**(-1\/13)*(q**(-1\/6)\/(q\/(q\/q**(1\/8))*q*q))**28 assuming q is positive.\nAnswer: q**(-65365\/1014)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 19752889 to the nearest integer?\nAnswer: 270","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = -o + 63. What is the remainder when x(21) is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1 - 0. Let c be ((-9)\/12)\/(f\/8). Let j = 162 + -160. Solve -5*k + c*o = 3*o - 16, j*k - 2*o - 4 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = -s**2 + 9. Let m(i) = 8*i**2 - 5*i + 10. Let c(d) = -d**2 + d - 2. Let p(o) = 5*c(o) + m(o). Determine p(f(x)).\nAnswer: 3*x**4 - 54*x**2 + 243","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 4352 - 4350. Let t(b) be the first derivative of 0*b + 2\/5*b**u + 1 - 1\/15*b**3. Determine v so that t(v) = 0.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 15*g - 22*g + 126. Suppose -16*w + g = -13*w. Suppose -p + n + 75 = 0, p - 2*n + 347 = w*p. Is p a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.1*43\nAnswer: -4.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*s**2 + 5*s**2 - s**2)*(3*s - 6 + 6)*(-14*s - 203 + 203)*(-5 + 1 + 2).\nAnswer: 168*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 67111 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Does 989 divide 148538552?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = 4*u - 13. Suppose -u*v + 66 = -171. List the prime factors of v.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 2.109 * 3.\nAnswer: 6.327","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) be the second derivative of -f**5\/20 + 2*f**4\/3 + 3*f**3\/2 + 2*f**2 + 4059*f. What is o(9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 2, 52, 4.\nAnswer: -5, 2, 4, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert 270376.41 months to millennia.\nAnswer: 22.5313675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in -0.21, 0, 3, 1?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -75\/4 and -43\/2245.\nAnswer: 8980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round 81.95382891 to 1 dp.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express (-g + 0*g + 2*g)*(-884*g + 884*g + 39*g**3)*(-2 + 22 + 99) as v*g**4 + c*g + z*g**3 + s + t*g**2 and give v.\nAnswer: 4641","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = -15*r + 22*r + r - 7*r + 2. Suppose -4*g = -0*y - 2*y + 2, -20 = 4*y. Let p = -3 - g. Give s(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 1110*i**5 + 332*i**2 wrt i.\nAnswer: 66600*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -18708, -18715, -18732, -18765, -18820, -18903, -19020?\n\"Answer: -h**3 + h**2 - 3*h - 18705","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r**1)**(-13\/6))**(-2\/27) assuming r is positive.\nAnswer: r**(13\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = -5*r - 5. Let u be y(-2). Is u equal to 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -228, 5, 3, -12?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1*((-216)\/(-32))\/((-7)\/84).\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*m - 18 = -12*m. Let y be -1*m\/165*(-1 + -14). Let o = -9\/95 + -2\/19. Put o, y, -0.02 in decreasing order.\nAnswer: y, -0.02, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*m - p - 6625, m - 12*p - 1666 = -15*p. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 3 + -1. Let s = -67297.000016 + 67299. Let d = y - s. Round d to five decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 289*t = -13*t + 13*t + 2023 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 33 a factor of 13*(-5 + 3)*-6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = 704*j**2 - 2*j - 1658. Let c(x) = 1429*x**2 - 5*x - 3316. Let s(b) = 2*c(b) - 5*p(b). What is the first derivative of s(g) wrt g?\nAnswer: -1324*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -132 divided by 33?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = -0*a - a. Suppose -a*g + 117 = -3*g. Suppose 3*n - g = -0*n - 3*j, -3*j + 75 = 2*n. Is n a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i**3 + 15808*i**2 + 31189130*i - 187704300 = 0. Calculate i.\nAnswer: -3955, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor -11*z**4 + 74*z**3 - 67*z**2 - 200*z - 48.\nAnswer: -(z - 4)**2*(z + 1)*(11*z + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 19124.\nAnswer: 2, 7, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 10 + -8. Find the third derivative of 5*o**3 + 4*o**2 - 5*o**v + 2*o**3 wrt o.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-16 - 40) + 17 - (-5 + (-6 - (-3 - 5))).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*l - 180 = -26*l for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = -10*r**2 - 90*r + 512. Give o(-16).\nAnswer: -608","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 335981 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2)\/(-4*2)*1328\/(-1660).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 t and 1 o when two letters picked without replacement from olutucloy?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 4\/(-8)*(-18)\/(-4932)*-4*-2?\nAnswer: -2\/137","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-43)\/((-3010)\/(-5075)))\/((-5)\/(-2)).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:33 AM and 12:05 PM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Does 670 divide 112177430?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + (-2*sqrt(136)*-2)\/((2*sqrt(80) - sqrt(80))\/sqrt(10)).\nAnswer: -4 + 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -10 + 11. Let n(s) = s - 1. Let h(t) = t + 2. Determine w*n(l) + h(l).\nAnswer: 2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*l - 27 = -5*v, -l = -17*v + 18*v + 1 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand z - 3*z + 0*z + (-2*z + 3*z + z)*(3 + 1 - 5) - 2*z - z + 0*z + 5*z - 3*z - z - 3*z + 7 - 7 + 17*z - 4*z - 417 + 206 + 251.\nAnswer: 4*z + 40","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence kl when two letters picked without replacement from {l: 1, w: 1, h: 1, y: 1, k: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(19) - (0 + sqrt(2736)))*-1 + 2 + 4 + sqrt(19) + 0)**2 + (sqrt(209) + sqrt(209) + (sqrt(209) - -5*3*sqrt(209)))\/(-2*-1*sqrt(11)).\nAnswer: 153*sqrt(19) + 2772","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 145336 and 9176?\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 247 - 195. Suppose 4*f = 4*r - 164, 0 = 3*r + 4*f + y - 168. What is the least common multiple of 15 and r?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -812, -934, -1056, -1178?\nAnswer: -1300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 76774 * -0.2375\nAnswer: -18233.825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 577285808?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -150*w + 147*w + 9 = 0, 14 = -u + 5*w. Put u, 5, -420 in decreasing order.\nAnswer: 5, u, -420","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 130 - 138 - -16 - (27 - 0) - -99.\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 13\/4 - (3 - 44\/16). Calculate the highest common factor of a and 537.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 3008 - 2058. Calculate the smallest common multiple of y and 18.\nAnswer: 8550","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8340 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 244 minutes after 7:18 PM?\nAnswer: 11:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 5 and 12749?\nAnswer: 63745","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 2*a + 0)*((1 + 2 - 2)*(-a**3 + 0*a**3 + 0*a**3) + 4*a**3 - 7*a**3 - 4*a**3).\nAnswer: 16*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -26 - 1?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-48)\/5 + 14\/(-35). Let d = 6 - a. Suppose -d = -8*h + 4*h. Solve -o - 4*p - 23 = 0, -5*o = -h*p + 5*p + 20 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*((((0 + sqrt(171))*6 - sqrt(171)) + 3 - (-1*sqrt(171) + 2 + -6*(sqrt(171) + -1) + sqrt(171)))**2*-5 + 5).\nAnswer: -6600*sqrt(19) + 414300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -18 - -40. Suppose d = 246 - 229. Solve -h*s = -d*s - 15 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 x and 1 q when four letters picked without replacement from gxjqxqsjjqgxgsssqs?\nAnswer: 1\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -53*r + 16 - 70 = -1. Which is smaller: -23\/584 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -82027095 greater than -82027095?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3.049711l to millilitres.\nAnswer: 3049.711","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence iine when four letters picked without replacement from {n: 2, i: 3, e: 1, b: 6, d: 1, q: 2}?\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 263 + -252. Sort m, -2, 0.\nAnswer: -2, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -67132\/7 - -9590. Put b, 0.21, 0.3, -2\/5, 2 in ascending order.\nAnswer: -2\/5, b, 0.21, 0.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 780432458 to the nearest integer?\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -23253, -21467, -19681, -17895?\nAnswer: -16109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -114103210 (base 5) in base 15?\nAnswer: -a86da","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l be -200*400000*3\/(-4). Round l to the nearest one million.\nAnswer: 60000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9*u - 8*u**2 + 51*u + 19*u**2.\nAnswer: 11*u**2 + 60*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = -t**2. Let c(o) = 7*o**2 - 23*o + 2. Let q = -12601 - -12606. Give q*y(x) + c(x).\nAnswer: 2*x**2 - 23*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 49\/73480 and -1\/66132.\nAnswer: 661320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m = 28 - 66. Let b(y) = 13*y + 2. Let i be b(4). Let v = i + m. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = -2520*a**2 + 22*a + 760. Let u be d(-30). Round u to the nearest 10000.\nAnswer: -2270000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -3, 1\/11, 3, -143\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.272 + -0.072. Which is the nearest to z?  (a) 4  (b) 30  (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -24385*c**3 - 185802*c**3 - 2529*c**3.\nAnswer: -212716*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -128957 or -128958?\nAnswer: -128958","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 354 minutes before 9:03 PM?\nAnswer: 3:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*j = -y - 5 - 8, -5*j + 10 = 2*y for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 118 + -75. What is the remainder when q is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -8560418 rounded to the nearest one hundred thousand?\nAnswer: -8600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = -12*x - 55. Let j(t) = -52*t - 219. What is 9*i(l) - 2*j(l)?\nAnswer: -4*l - 57","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -624.54 rounded to the nearest 10?\nAnswer: -620","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = 1238*h**3 - h**2 - h + 3. Is j(2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 625 minutes before 9:40 AM?\nAnswer: 11:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 1, u: 1, w: 1, i: 1, c: 1}. Give prob of picking 1 w and 1 c.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-524*i + 2 - 310*i + 882*i + 9155*i)*(-i + i + 4*i) to the form x + f*i**2 + o*i and give f.\nAnswer: 36812","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -63, -122, -183, -246, -311?\n\"Answer: -c**2 - 56*c - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 6\/11, 1\/3, 4\/5, -7 in ascending order.\nAnswer: -7, 1\/3, 6\/11, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Total of -22666.8651 and -19091.\nAnswer: -41757.8651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 0 + 3)*(o**5 - o**4 + o**4) + 9*o**5 - 3412*o**4 + 3412*o**4 + 6.\nAnswer: 11*o**5 + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -0.3047 from 0.5.\nAnswer: 0.8047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -33\/250 and ((-9)\/(-150))\/(129\/(-228) - -1).\nAnswer: 2750","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 7579 and 159.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 34, 16, 0, -1467 in increasing order.\nAnswer: -1467, 0, 16, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 7741 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) be the third derivative of 0 + 0*s + 16\/3*s**3 + 15*s**2 + 1\/30*s**5 - 2\/3*s**4. Find x such that g(x) = 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1 - 189\/132) + (-20)\/(-110)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 44\/5 of a kilometer in meters?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = 41*d**2 - 5*d + 3. Let b(p) = -p - 6. Let q be b(-2). Is a(q) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n**2\/3 + 47941*n - 287658 = 0. Calculate n.\nAnswer: -143829, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*v**2 + 356*v + 15842.\nAnswer: 2*(v + 89)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 566 is divided by 118?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -2\/7, -8, 16, -1, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -128, -172, -242, -338, -460, -608?\n\"Answer: -13*g**2 - 5*g - 110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -24 - -433\/18. Let h(d) be the second derivative of 1\/36*d**4 - 1\/60*d**5 + 0 - 1\/6*d**2 + l*d**3 + 2*d. Suppose h(v) = 0. What is v?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = 309*k - 9. What is the hundreds digit of r(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (4\/(-20))\/((2604\/(-62))\/(-17430))?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -32 + (-84 - -59 - -41).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-2 - -1 - -10)\/(-1). Let b be 142\/6 - 3\/h. What is the greatest common divisor of 8 and b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 39089 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 113 = -4*u - 3*x, -u - 4*u - 2*x = 150. Let q be (4\/14)\/(u\/56). Which is the smallest value?  (a) 156  (b) 2\/7  (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u + 1 - 5 = 0. Let c(l) = 6*l - 1. Let i be c(u). Suppose -h + i*m = -17, 4*m - 39 = -3*h + 7*m. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 6 in 16.6, 1222, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -330, -2\/3, -2, 1.944?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 43279171.\nAnswer: 13, 223, 14929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = w**2 - 20*w - 1109. What is t(-22)?\nAnswer: -185","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -11268 and 80.\nAnswer: -901440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 5503 and 7.\nAnswer: 38521","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 21455, 21456, 21457, 21458, 21459?\n\"Answer: h + 21454","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 26 and 2587?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 15 and 55?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) be the second derivative of -t**6\/60 - 4*t**5\/15 + 3*t**4\/4 + 87*t**2 - t + 5. Let d(i) be the first derivative of a(i). Let d(r) = 0. What is r?\nAnswer: -9, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*w - 15 = 17*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*sqrt(170)*2 - (sqrt(170) + (sqrt(170)*-3 - sqrt(170)))*6)\/((sqrt(490)*-2 - -1*sqrt(1210))*-3).\nAnswer: 14*sqrt(17)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 9 minutes after 1:55 AM?\nAnswer: 2:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 + -1 + 5 + 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand -68*k + 53*k + 49*k + (k + k + 26*k)*(6 - 4 - 1).\nAnswer: 62*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = -3*o**2. Let n(b) = 61*b - 41*b - 22*b. Calculate n(l(m)).\nAnswer: 6*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 6 - 6. Find k such that r - 4*k**2 - 2*k**3 + 0 + 0 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = q**3 + 46*q**2 + 93*q + 200. Give j(-44).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Does 257 divide 44658?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*-1*(sqrt(98)*1 + sqrt(98))*-3)**2 - (-3 + (sqrt(98) - (sqrt(98)*-2 + 5 + sqrt(98) + sqrt(98)))**2 + 2).\nAnswer: 70*sqrt(2) + 31630","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round -1144676.1 to the nearest 100000.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 5\/1084 and 53\/210?\nAnswer: 113820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 17\/50 and -67\/165?\nAnswer: 1650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Determine v so that -v**5\/4 - 641*v**4\/4 + 1299*v**3\/4 + 8345*v**2\/4 - 4513*v\/2 - 3858 = 0.\nAnswer: -643, -3, -1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) be the second derivative of -2*l**3\/3 - 27*l**2 - 62*l - 1. What is v(-13)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-294)\/140 + (-12)\/30 + 18\/(-4). Is 3\/76 at most l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.2 minus 76291043969788?\nAnswer: -76291043969787.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 44369 is divided by 1180.\nAnswer: 709","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = -y**3 - 32*y**2 + 144*y + 3. Let m be f(-36). Suppose -m*n + 15 = 0, -4*z = -61*n + 59*n - 26. Calculate the highest common divisor of z and 738.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 14 + -13.8. Let w = -103 + 103.77. Let r = w + 0.23. Which is the smallest value?  (a) -0.3  (b) r  (c) i  (d) 1\/23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2\/1715 at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put 4\/5, -11.1, 1, -5\/7 in decreasing order.\nAnswer: 1, 4\/5, -5\/7, -11.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = 5*a, s = -6*a + 4*a - 112. Let l = 233 + s. Suppose 3*z = 5*j - j + l, 0 = -z + j + 40. List the prime factors of z.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 j and 2 n when three letters picked without replacement from {j: 8, q: 1, f: 1, n: 7}?\nAnswer: 21\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = j**3 + 17*j**2 - 39*j - 11. Let p be w(-19). Let n = p - 0. What is the highest common divisor of n and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3.869873mg to micrograms.\nAnswer: 3869.873","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -9 - ((-1 + -3 - -2) + -3)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 5, p: 2, w: 5}. Give prob of picking 1 w and 1 r.\nAnswer: 25\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 18 + -11. Suppose 0 = -3*b + a - u, 5 + 3 = -4*b + 2*a. What is the common denominator of (b\/6)\/(11\/21) and -9\/16?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -40*u**3 + 37*u**3 - 69*u**2 - 253*u**2 + 1 to the form f + o*u**3 + t*u + w*u**2 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + 1 + (-1*2*sqrt(112) + (sqrt(112)*-2*-4)**2 - (5*(sqrt(112) + sqrt(112) + 0) + ((3 + sqrt(112) + -1)**2 - sqrt(112)))) + -2.\nAnswer: -60*sqrt(7) + 7053","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = -3*y**2 + 2*y - 1. Let j be s(3). Let a = -11 - j. Let x(w) = w - 3. Let t be x(4). What is the greatest common divisor of a and t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 10449778?\nAnswer: 2, 5224889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2611640917?\nAnswer: 2611640917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-46)\/(-60) + (-3)\/5. Let y(n) be the second derivative of -1\/10*n**5 - n**2 + 0 + m*n**4 + 1\/3*n**3 + n. Factor y(w).\nAnswer: -2*(w - 1)**2*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) be the second derivative of -n**4\/6 - 11*n**2 + 7*n + 1. Differentiate x(l) with respect to l.\nAnswer: -4*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together -4 and -2468852.\nAnswer: -2468856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is thirty-four fifths of a centimeter in micrometers?\nAnswer: 68000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.273 and -111.\nAnswer: 30.303","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) be the second derivative of -53*d**4\/12 + 5902*d. Let u(r) = 16*r. Calculate y(u(f)).\nAnswer: -13568*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 5774?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-52)\/7163)\/(252\/(-2394))?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -531, -1911, -4169, -7305, -11319, -16211?\n\"Answer: -439*w**2 - 63*w - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 297cb1 (base 13) in base 8?\nAnswer: 3702542","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = q + 174. Let t be f(23). Let v = t + -206. Is v at least -54\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 79\/426726 and 89\/628.\nAnswer: 853452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 240, 155, 72, -9, -88, -165?\n\"Answer: t**2 - 88*t + 327","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (0 - (3 - 5) - 1) + -6?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) be the second derivative of -g**4\/4 + 820*g. Let r(i) = -i + 6. Let s(c) = -4 + 2 + 3. Let k(m) = r(m) - 6*s(m). Determine k(u(l)).\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {f: 1, m: 4, j: 1, q: 2, w: 3}. What is prob of sequence qf?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -0.023 and -14222395699?\nAnswer: 14222395698.977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from eodeoeodddd?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 3203 (base 4) to base 8\nAnswer: 343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -56  (b) 0.1  (c) -0.3  (d) 8  (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-180)\/70)\/(6\/(-21)). Let u be 19 - 6\/d*3. Solve -3*c - 4*m = -14, -3*c - 4 = -3*m + u for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -103*s = 162*s + 13*s - 21684. What is the lowest common multiple of s and 108?\nAnswer: 1404","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -11.06733072 rounded to two dps?\nAnswer: -11.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 80299176 to the power of 1\/2, to the nearest integer?\nAnswer: 8961","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -75269 - -662569\/9. Let g = -1645 - l. Is 5 bigger than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-30*p**2 + 4*p - 4*p)*(55*p - 342*p - 490*p - 158*p + 99*p).\nAnswer: 25080*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*f + 5 + 10. Let v be 2\/6 + (-2)\/f. Solve 4*g - v = -d + 4, 25 = 3*g + 5*d for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 98597416339 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = 29*r**2 + 78*r + 38. Is t(29) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 13260571 to the power of 1\/2, to the nearest integer?\nAnswer: 3642","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6383 is divided by 49?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = -2*i**2 - 3*i**2 + 4 + 3*i + 4*i**2. Let j be x(3). What is the third derivative of 3*b + 2*b**3 - 3*b + j*b**2 wrt b?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 4931\/246 - 200\/41. Suppose 6*o - 10 = o, 5*o = m. Calculate the common denominator of 4\/m + (-108)\/(-10) and c.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -41786 + 41788.7057. Let m = j + -2.72. What is m rounded to 3 decimal places?\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 181305 to the power of 1\/2, to the nearest integer?\nAnswer: 426","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 65014531?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-80343)\/(-5650))\/(-237)*(-1 + -29)?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 196 and 32766937?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange q**4 + q**2 + 6*q**4 - 3*q - 6*q**4 + 3 - 2*q**2 - 2*q**3 to u*q**2 + o*q**3 + p*q + g*q**4 + j and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 153 minutes after 2:44 PM?\nAnswer: 5:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) be the first derivative of -25*t**6\/6 - 3*t**5 + 685*t**4\/4 + 585*t**3 + 270*t**2 - 540*t + 85. Determine w so that m(w) = 0.\nAnswer: -3, -1, 2\/5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -703, -1532, -2361?\nAnswer: -3190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -245 - 1227 = -52*g - 16 for g.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert -115 (base 7) to base 3.\nAnswer: -2021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-2)\/(-7) - (-33)\/7. Suppose 0 = b*p + 2*z + 2*z - 2, 3*z + 8 = p. What is the third derivative of 0*t**3 + 0*t**3 + 2*t**p - t**3 wrt t?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-n + 0 + 0)*(-2 + 5 - 2)*(n**2 - n + n)*(-12 + 12 - 10*n**2).\nAnswer: 10*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh biggest value in -1\/5, 3, -21, 0.42, -0.08, -3, 0.3?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 37865 to the power of 1\/3, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -18*w**4 + 3*w + 2*w - 13*w wrt w?\nAnswer: -216*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -175, -572, -1225, -2140, -3323, -4780, -6517?\n\"Answer: -l**3 - 122*l**2 - 24*l - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00025485 rounded to 5 dps?\nAnswer: 0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -5434, -5454, -5488, -5536, -5598, -5674?\nAnswer: -5764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: (-96)\/(-2976) + (-96922)\/(-1426)\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.307 and 842.\nAnswer: 258.494","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -150065 divided by 5\nAnswer: -30013","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from quqqkurqkkkuqq. What is prob of sequence krq?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((2 + 0 + 0)*(-2 - 2 + 2) - 6 + 2 + 3 + (-1 - 2 + 1)*(1 + 0 + 0))*(7*u - u + u)*(-1 + 1 + 4)*(-1 - 2 + 1).\nAnswer: 392*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4 = -31*w + 30*w + 4*j, w + 10 = -3*j for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = w**2 + 7475*w - 512924. Calculate x(68).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = 151*w**2 + 10*w + 16. Does 40 divide f(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4379 = -10*j + 14*j + 3*q, 3*j + 4*q - 3279 = 0. What is the thousands digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1870 is divided by 928.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 124576578 a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 24*(9\/15)\/((-2)\/(-5)). Let g(n) = 84*n - 12. Let u be g(4). What is the highest common factor of w and u?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 152*q - 163*q + 44 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 12086090?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5369818171.\nAnswer: 19, 31, 103, 88513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {r: 6, f: 4}. Give prob of picking 2 r and 2 f.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is ((462\/(-1274))\/33)\/((-6)\/(-252))?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 1acdb (base 15) to base 9\nAnswer: 142648","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*k = 8*b + 2, -3201*b - 4*k = -3203*b - 86 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*p**3\/4 - 25926*p**2.\nAnswer: -3*p**2*(p + 34568)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4450*b + 881*b + 264106 = 0 for b.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = i - 7. Let x be j(6). Suppose -5*d - 7 = 2*p + 3, -2*d + 7 = 3*p. Which is the nearest to -0.1?  (a) x  (b) d  (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -14 + 14. Let b be (1\/(-2))\/((-4)\/(-12)). Sort b, -0.5, w.\nAnswer: b, -0.5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) be the third derivative of 0 + 1\/60*v**5 - v**2 + 0*v + 0*v**3 + 1\/12*v**4. What is p(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -788 divided by 5?\nAnswer: -788\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -2 + -2034114?\nAnswer: -2034121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 17778 + -15005. What is the smallest common multiple of 6 and l?\nAnswer: 16638","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-17 + 2 - (-132 - -130)) + -3?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) be the third derivative of 215\/6*b**3 + 7*b**2 + 1\/120*b**6 + 0 + 1\/24*b**4 + 0*b - 1\/60*b**5. Is y(0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (0*s**3 - 28*s**3 - 13*s**3)*(-5*s + 2 + 0*s - s) as c*s**3 + t*s**2 + q*s + r*s**4 + o and give c.\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 436203425 to the power of 1\/7, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = -2*w + 2. Let g be v(0). Solve -g*t + 4 = -t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -7093 - -60?\nAnswer: -7033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.01330935 to four dps.\nAnswer: 0.0133","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) be the third derivative of -8*c**7\/105 - c**5\/4 - 12*c**2. Find the third derivative of y(r) wrt r.\nAnswer: -384*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 148673.\nAnswer: 7, 67, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*m = 3*g - 41, 4*g + m - 69 = -71 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 8979 + -8?\nAnswer: 8971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = -2*i**2 + 7*i + 7. Let o be n(4). Suppose -981 = -h - o*z + 995, 0 = 2*z - 4. What is h rounded to the nearest 100?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = -8*s**3 - 6*s**2 + 2*s - 6. Let v(z) = z**3 + z**2 - z + 1. Calculate t(y) + 6*v(y).\nAnswer: -2*y**3 - 4*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4 + 447*t - 11 + 7 to n + y*t and give y.\nAnswer: 447","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0 and -89.7.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = -8*f**2 + f + 17. Let u be o(0). Suppose i - 2 = 3*g, 5*i + 3*g - 11 = u. Solve 2*c - 14 + 3 = i*p, 2*c = -p + 5 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-1)\/(42\/350*5\/(-9))\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = -m**2. Let y(r) = 4*r + 5. Let i(v) = -3*v - 4. Let s(h) = -5*i(h) - 4*y(h). Give s(d(j)).\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 6, -3, 24, 0 in decreasing order.\nAnswer: 24, 6, 2, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 - 1 - z**3 - 28*z.\nAnswer: -z**3 - 28*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -59.5 * 0.4\nAnswer: -23.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(sqrt(1331) - (sqrt(1331) + -2 - sqrt(1331))**2)*-4.\nAnswer: -44*sqrt(11) + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = o - 6. Let x be w(9). Suppose 3*g - 16 = -k, 4*k + 3*g - g = 44. Let i = k - x. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*w + 4*w + 8 = 0. Let f = -1 + w. Let l = -8 + 21. Calculate the smallest common multiple of f and l.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 29*f - 11 = 18*f. Which is the nearest to 1?  (a) 2  (b) -6  (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6206902 is divided by 115?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 6331 + -6339 + (14 - -1).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 3689, 32083, 109905, 261869, 512689, 887079?\n\"Answer: 4119*u**3 - 439*u + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 2.01113 to two decimal places.\nAnswer: 2.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 17113 is divided by 47.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5393 is divided by 142.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is r in -2*r**3 + 1180*r**2 + 98344*r + 1923408 = 0?\nAnswer: -38, 666","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-2 - (-962)\/351) + 2\/(-3))\/(-1)?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d + 11 = 5*j, -j - d = -5*j + 11. Put -5, -3, j in decreasing order.\nAnswer: j, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 19779 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: What is the second derivative of -16*j**5 + 32*j**5 - 7*j - 8*j**5 wrt j?\nAnswer: 160*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 2.2 + -2. Let b = l + -0.45. Let c = -0.05 + b. What is the third smallest value in c, 1\/3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 2042280093 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 2161 a factor of 39122744?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 26853\/(-12)*-1 + 12\/(-16) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) be the second derivative of -a**3\/3 + 9*a + 43. Let l(i) = -192*i**2 - 2*i. Determine c(l(b)).\nAnswer: 384*b**2 + 4*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -7 - -17. Is 10 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 372200 and 1114739?\nAnswer: 1861","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 32.9 - 33. What is the nearest to h in -4, -0.5, -23?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 272 = 3*d + 20. Suppose -10*h - 11*h + d = 0. Solve s + x = 3*s + 8, -h*s + 5*x = 22 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l = 3*q - 2 + 1, -5*q + 4*l = -6. Solve j = p - 2, j - 4*j - 5 = -q*p for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -230*f - 233*f - 18*f**2 + 21*f**2 + 463*f.\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*-1*(sqrt(176) + (sqrt(176) - 4*1*sqrt(176)))**2.\nAnswer: -1408","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0 + 0. Let y = -536 + 534. Sort -1\/2, y, u, -0.9 in decreasing order.\nAnswer: u, -1\/2, -0.9, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) be the first derivative of -g**6\/21 - 2*g**5\/35 + 4*g**4\/7 + 8*g**3\/7 + 425. Factor q(h).\nAnswer: -2*h**2*(h - 3)*(h + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -10766.4*-53.6.\nAnswer: 577079.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (5\/15)\/(1\/12). Suppose b*v - 5 - 7 = 0. Suppose -a + 7 = -m, a - v*m - 4 = -5*m. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3*1\/(-17))\/(39\/(-26)).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve i = 4*m + 3, -5*m + 71 - 72 = -4*i for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-1 - 5 + 5)*(1 - 1 - 2*o) + 2*o - 3*o - 2*o + 3*o + 0*o + 238 - 188)*(-3*o - 2*o + 3*o).\nAnswer: -4*o**2 - 100*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 417399690 >= 417399690?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 4*x**2 - 2*x**2 - 11*x**2 - x**6 wrt x?\nAnswer: -120*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 5755340 + 8?\nAnswer: 5755348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Divide 6 by -36.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -28.2 - -24.2. Sort -5, j, -1\/8, 14 in increasing order.\nAnswer: -5, j, -1\/8, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 109 + -102. Suppose -m*h + 13 = 6. Solve -3*r + 8*r + 13 = -3*a, -3*a + r - h = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 4 - 2)*(4*i - 2*i + 0*i + i + 3*i - 3*i + i - 1 + 1 + (1 + 0 + 0)*(-i - 2*i + 2*i) - i + 0*i + 3*i)*(-6 + 1 + 3).\nAnswer: 50*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Are -793 and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 1 + 0)*(4*v - 2*v + 0*v)*((5*v - 5*v + 2*v**2)*(-1 + 1 + 3) + 3*v**2 - v**2 + 0*v**2).\nAnswer: -32*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = -8*f**2. Let s(q) be the second derivative of q**4\/3 - 4*q + 9. Determine g(s(l)).\nAnswer: -128*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -515 + 182*l + 1043 - 521 to the form n*l + x and give x.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide 7891?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = q**3 - 2*q**2 - 4*q + 1. Let f(v) = 5*v**2 + 23*v - 9. Let w(n) = n**2 + 5*n - 2. Let j(x) = 2*f(x) - 9*w(x). What is 4*j(b) + y(b)?\nAnswer: b**3 + 2*b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {w: 9, g: 3}. What is prob of sequence www?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**(-1\/8)\/h**(-3)*(h**1)**(-3\/4))\/((h**2\/h*h\/(h\/(h*h**(3\/5))))\/(h**5\/(h\/(h**(-2)\/h)))) assuming h is positive.\nAnswer: h**(21\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (-4777)\/204 + 10\/6 and -41\/46.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 14, 66, 188, 416, 786, 1334, 2096, 3108?\n\"Answer: 6*i**3 - i**2 + 13*i - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-435)\/(-116))\/(1880\/64)?\nAnswer: 6\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 6\/(-8) + 4\/30*15. Let b(q) be the first derivative of -j*q**4 + 5\/2*q**2 - 5*q + 5\/3*q**3 - 1. Determine i, given that b(i) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 78.27692 millennia to months.\nAnswer: 939323.04","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -0.7*5569.52\nAnswer: -3898.664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-1)\/(5\/10 + -1). Let z(u) = u**2 - 2*u + 3. Give z(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1.142 times -3627.51\nAnswer: -4142.61642","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -4, -2, 3.\nAnswer: -4, -2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is (12\/(-3))\/(-4)*3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Add 2624 and -3.3891301922.\nAnswer: 2620.6108698078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.3291 + 15469353202?\nAnswer: 15469353202.3291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*f - 5*q + 2, 0 = 3*f + 3*q - 6*q - 3. Let v = -12 - -8. Let o = v - -3. Does o = f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 times 83930?\nAnswer: 83930","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 62.3 - 177.28. Let m = -117 - s. What is m rounded to one decimal place?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 6452+-0.2\nAnswer: 6451.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 2863490 rounded to the nearest ten thousand?\nAnswer: 2860000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*f - 2*x - 84 = -64, 5*x = 4*f - 32 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 1938 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 836860672 - 836854784.993938. Let y = -5887 + v. Let c = -0.006 + y. Round c to 5 decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 91 = 4*l - n, l - n + 6*n = 49. Does 12 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find m such that -100*m**4 + 8220*m**3 - 123036*m**2 - 1137436*m - 2108544 = 0.\nAnswer: -17\/5, 32, 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"}
{"text":"Question: 4 divided by 5457441\nAnswer: 4\/5457441","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -122 + -10112?\nAnswer: -11011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Determine x so that 4*x**2 + 200*x + 2484 = 0.\nAnswer: -27, -23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = -21*a + 150. Let i(n) = 4*n + 1. Calculate -6*i(r) - j(r).\nAnswer: -3*r - 156","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 74 + -2 + 3 + -1. Suppose 3*k = 2*k + 3. Suppose -z = -k*c + c. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (6\/(-15))\/(1*(-48)\/20)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 9812667199 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -4263 - -11376. List the prime factors of n.\nAnswer: 3, 2371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = -n**3 + 9*n**2 - 13*n + 6. Let v be q(7). What is the fourth biggest value in v, 3, -3, 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 - (15 + -2) - (-14 + -83 + 103)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 136 + -132. Let g = 3 - 4. Which is the second biggest value?  (a) z  (b) g  (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b = j + 3*b + 24, -2*b = 2*j + 8. Sort 3, j, 53 in decreasing order.\nAnswer: 53, 3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24 = -3*p - 3*w, w - 74 + 18 = -5*p. What is the remainder when p is divided by 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 5 (base 14) to base 5\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (88830\/1316)\/((-1)\/(-28)*2).\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*a = 5*i - 2666940, 592810 = 2*i - 2*a - 473970. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1122395412 to the power of 1\/2, to the nearest integer?\nAnswer: 33502","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = 4*c - 24. Let j be l(7). Let q be j\/(4 - 4 - 2). What is the remainder when 137 is divided by (2\/(-3))\/(13\/(-858)) - q?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = -255607*w**2. Let z(l) = 1497*l. Give z(n(y)).\nAnswer: -382643679*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*m + 44 - 164. Solve -m = 5*g - 0*w + 3*w, g = -2*w - 13 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -7 - -2. Let k = 2.7 + -3. Let t = k - -0.1. Sort 1, t, j.\nAnswer: j, t, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 1521019 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/4 of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 29*a - 18*a + 1 = -21 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**(-6)*n\/(n**(-7\/4)*n))\/(n*(n*n**(2\/3)\/n)\/n*n*n*(n*n*n*(n*n**(-2\/9)*n)\/n)\/n) assuming n is positive.\nAnswer: n**(-349\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 - 6\/45*162\/36.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = n**3 + 11*n**2 + 9*n - 9. Let v be x(-10). Let q be 161\/84 - 2\/v. Let y = -5 - -5. Is y != q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4411 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 122.6 - 123. Which is the biggest value?  (a) g  (b) -0.2  (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (3285\/(-90))\/(-73)*0\/(-1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 18.8 + -19. What is the third smallest value in w, -2, -0.3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-48)\/(-40))\/((-801)\/890)\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = -2803*a - 7786. Give u(-3).\nAnswer: 623","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 1245 and 11.\nAnswer: 13695","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = g**2 + 37*g + 353. Let s be l(-18). Solve 0 = s*d + 44 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) be the third derivative of -c**4\/6 + 11*c**2. Let m(j) = -6*j**2 + 13*j**2 + 21*j - 21*j + 10*j**2. Calculate m(o(f)).\nAnswer: 272*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 38394 - 38397. What is the second smallest value in 7\/3, -46\/15, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x**(5\/11)\/x)\/(x*x**(-4\/11)))\/(x*x*x\/(x**(-2)\/x)*x**(-12)) assuming x is positive.\nAnswer: x**(53\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-3 - 63\/3)\/(-2). Let p be 62\/z - 1\/6. What is p rounded to zero dps?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 274252 divided by -68563?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-1*(-11 + 17))\/((-324)\/57 + 4). Let r(t) be the first derivative of -15\/4*t - t**3 + 3\/32*t**4 + 8 - v*t**2. Factor r(k).\nAnswer: 3*(k - 10)*(k + 1)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 151, 3, -20, -14, 5, 10\/11, 0.2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -x**2 - 4*x**2 + 4*x**2 + 12 - 266*x**3 - x + 0*x**2 - 14 to i*x**3 + n*x + m + a*x**2 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = -0*u - u. Suppose 15 = -3*y, -4*s + u*y + 9 = -y. Let g be 6\/(-8) - (-1)\/s. Which is the third smallest value?  (a) g  (b) -5\/2  (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1774656?\nAnswer: 2, 3, 13, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 47 a factor of 31938286?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 33414650 + 24*p**3 - 33414650.\nAnswer: 24*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q - 2342717 = -0*q - 16*q. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -127 divided by -420919\nAnswer: 127\/420919","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = -q**3 + 23*q**2 - 21*q - 25. Suppose -2*u - 10 = -54. Determine x(u).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) 2  (b) -2  (c) 5\/74  (d) -111  (e) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = r**4 - r**3 - r + 1. Let a(q) = 17*q**4 - 6*q**3 - q**2 - 6*q + 25. Let i(j) = -a(j) + 6*b(j). Differentiate i(w) wrt w.\nAnswer: -44*w**3 + 2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 275*h**2*r*v**3 + h**2*r*v + 8*h**2*v**2 - 188*h*v**2 - 30*h + 7*r*v**2 - v**3 wrt h?\nAnswer: 550*r*v**3 + 2*r*v + 16*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = -7 - 4*b + 6 + 0. Let r be 8\/6*6\/4. Let k(x) = -2*x - r*x + 5*x. Determine -3*k(q) - v(q).\nAnswer: q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 19419373 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -179\/15 - -88\/5. Find the common denominator of m and 43\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**(-1\/3)*p\/(p\/(p*p**(1\/6))))\/((p*p**(1\/6)\/p)\/p*p**(3\/2)\/p*p) assuming p is positive.\nAnswer: p**(1\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert 680.8228 grams to milligrams.\nAnswer: 680822.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 10*f**4 + 3 - 2 - 15*f**4 wrt f?\nAnswer: -20*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -12 - -6. Let y = w - -9. Calculate the highest common factor of y and 21.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (3\/2)\/((-3)\/(-48)*180)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*sqrt(396)*-3 + -4*(sqrt(11) + (sqrt(11) + -2 + sqrt(11) + 0)**2).\nAnswer: -192 - 8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put 11, -10, -4 in ascending order.\nAnswer: -10, -4, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 104, 69, 34?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 45376.002 - 45440. Let x = -0.002 + j. Let y = -66 - x. Put 1\/4, 2\/13, y, 3 in decreasing order.\nAnswer: 3, 1\/4, 2\/13, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -280*p**3 + 827*p**3 + p - 272*p**3 - 249*p**3.\nAnswer: 26*p**3 + p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -767 - -767.5. What is the second biggest value in 2\/29, -1.5, u?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 46753 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 w and 2 b when four letters picked without replacement from wwbbbw?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1 + 15. Let a(r) = r**3 - 13*r**2 - r + 19. What is the least common multiple of a(13) and f?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 865941 and 19627996.\nAnswer: 58883988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -20.5 - -21.668. What is k rounded to two dps?\nAnswer: 1.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*d**2 - 134*d - 132.\nAnswer: -2*(d + 1)*(d + 66)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 1\/109, 181, 2, 514?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from hrhcr. Give prob of sequence rc.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = 19*l - 10*l - 14*l. Let t(x) be the third derivative of x**4\/12 - 2*x**2. What is -3*b(q) - 8*t(q)?\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1050667?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1332 = -24957*l + 25179*l for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) be the first derivative of -2*s**5\/5 + 16*s**3\/3 + 190*s - 78. What is the first derivative of n(u) wrt u?\nAnswer: -8*u**3 + 32*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2 - 1 - (-704)\/198?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 163 is divided by 59?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (15*(-15)\/(-1500))\/((-150)\/80).\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -61.2216 rounded to 1 decimal place?\nAnswer: -61.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 10 and 53968872?\nAnswer: 269844360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.08623 - -0.07623. Which is bigger: p or 4\/115?\nAnswer: 4\/115","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) be the first derivative of -l**4\/4 - 5*l**3\/3 - l**2 + 2*l - 5. Let y be i(-5). Solve 3*r = -0*r + y for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3583813 a multiple of 2006?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide 145?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 198974*g = 3*d + 198976*g + 18, -2*d = 4*g + 20 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1 + 0. Suppose f - u + 0 = 0. Let j = -459\/4 - -229\/2. Is f greater than or equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 3385 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c\/(c**1*c))**(-25)*c**(2\/33)*c*c**(3\/5))**(17\/5) assuming c is positive.\nAnswer: c**(74783\/825)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1329 is divided by 95.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 a and 1 o when three letters picked without replacement from ooiqaaqqiaqqqqddq?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = -i**2 + 6*i - 5. Let v be g(4). Suppose 4*l - v*z + 53 = 0, 2*z = 5*l - z + 70. Let k = l - -24. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -861, -1419, -2349, -3657, -5349, -7431?\nAnswer: -9909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from bzbzbbbzbbbbnbnbb. What is prob of picking 1 z and 3 b?\nAnswer: 33\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:14 PM and 6:13 AM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert -122 (base 9) to base 13.\nAnswer: -7a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.3 and 45285?\nAnswer: 13585.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 1 + 4\/2 - (2 - 2). Which is the third smallest value?  (a) 5  (b) -3  (c) -0.2  (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:24 AM and 2:44 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1\/23011425 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 532921 is divided by 266404.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = -21*m**3 - m**2 + 2*m + 3. Let i be y(-1). Suppose i*c - 840 = 16*c. Calculate the highest common divisor of 14 and c.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 902541, 902543, 902545, 902547, 902549, 902551?\nAnswer: 902553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) be the third derivative of o**4\/4 - 4*o**3 - 93*o**2. What is the least common multiple of 18 and d(6)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -114 + -87?\nAnswer: -19b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*r + 20, -18*z + 20*z - r - 1294 = 0. Is 43 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = -112*x**2. Let t(v) = 9891*v. Give t(n(o)).\nAnswer: -1107792*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = -138*g**2 + 5*g + 64. Let d(v) = -3*v. What is d(h(n))?\nAnswer: 414*n**2 - 15*n - 192","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w + a - 3 = 4, 2*a - 9 = 3*w. Let b = 2 - -1. Let j = b + w. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = -8 + w**3 + 2*w**3 + 10 + 0 - 9. Let d(s) = 2*s**3 - 5. Let p(q) = -2*q**3 + 4*q**2 - 2*q - 1. Let x be p(2). Calculate x*h(t) + 7*d(t).\nAnswer: -t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-28)\/(-8) + 1\/2. Suppose -2*b + 0*b + 6 = t*a, a + 11 = 2*b. Suppose -b*f + 60 = -5*i, 4*f + 3*i = -2*i + 75. List the prime factors of f.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -53 + 58. Sort -5, -3, m, 10 in ascending order.\nAnswer: -5, -3, m, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2*b**5*u + 20*b**5 + 35*b**3*u + 5*b**2*u + 19*b - 2 wrt b?\nAnswer: 120*b**2*u + 1200*b**2 + 210*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 23509 + -23488. Solve -4*w - y = g - 18, -2*y = -3*w - 5 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 31 - 3*d**2 - 31 + 5*d**2 + 0*d**2.\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 839 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 24522542.\nAnswer: 2, 11, 1114661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 109648 is divided by 373?\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:54 PM and 10:41 PM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 13119 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from veeeeeeeeeveeeev?\nAnswer: 13\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -126, -211, -360, -579, -874, -1251?\n\"Answer: -j**3 - 26*j**2 - 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 46 = 2*t + 258. Let v = t + 170. Calculate the highest common divisor of 8 and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) be the second derivative of 17*y**3\/6 - 8*y**2 - y - 2. Let u be 9\/1*3\/9. What is the units digit of b(u)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3728686289 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is (-243 - -240)*3\/(-72) + (-114)\/16?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 48\/18*9\/(-6). Let h = 0.02 + -0.02. What is the smallest value in c, h, 3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2038, -16441, -55540, -131683, -257218, -444493?\nAnswer: -705856","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 1818, 1813, 1818, 1839, 1882?\n\"Answer: a**3 - a**2 - 9*a + 1827","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + 2 - 5)*(-3*n**2 + 1 - 1)*(-4313 - 1893 + 1056 - 1749 - 2952).\nAnswer: -29553*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -383 (base 9) in base 7?\nAnswer: -633","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1216c6 (base 13) to base 12.\nAnswer: 189a64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: (587496\/(-34970))\/((-1)\/(70\/12))\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-21168)\/(-35))\/56*5\/3?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((c**(-1\/2))**(-1\/5))**(10\/3))**(-1) assuming c is positive.\nAnswer: c**(-1\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 7109, 5769, 4429, 3089?\n\"Answer: -1340*v + 8449","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = 3*v + 25. Let f(l) = -l**2 + l - 7. Let q be f(0). Let z be y(q). Suppose -z*t = -13 + 5. Sort t, 4, -2 in decreasing order.\nAnswer: 4, t, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:27 AM and 1:10 PM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Add together 0.5 and 743291.41.\nAnswer: 743291.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -4 - 15.4\nAnswer: -19.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.04048409 + 0.0406. What is f rounded to five dps?\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = 5*n**2 + 174*n + 1092. Give h(-8).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = d**3 + d**2 - 2*d + 66. Let f be w(0). What is the derivative of h**4 + f + 13*h**2 - 4*h**4 + 31 - 20 wrt h?\nAnswer: -12*h**3 + 26*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -907*f + 204*f - 10497795 + 10497795 - 140*f.\nAnswer: -843*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 47*z = 5*y + 44*z - 18, -3*y = 5*z - 4 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -57294 divided by -6?\nAnswer: 9549","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 13\/3338 and 101\/3094.\nAnswer: 5163886","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -552 + 731. Let x = n + 366. Is 17 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -321, -320, -319, -318, -317?\nAnswer: -316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**9\/f*f**(1\/7))\/(f\/f**(-1))**(-5\/7) assuming f is positive.\nAnswer: f**(67\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y = -4*i - 170, -5*i - 372 = -5*y + 78. Let l = -42 + y. What is the tens digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = 1321*u. Let q(v) = -2360*v**2 + 1. What is i(q(f))?\nAnswer: -3117560*f**2 + 1321","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*w = 10*w - 68. Let u(j) = -j - 3. Let x(s) = s + 4. Let m(y) = -4*u(y) - 3*x(y). Calculate m(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 12 + (-4970)\/320 - (-2 - 3\/2).\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: (7 - 20) + 3 + (-106 - -94) - 12\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -113\/62798814 and 127\/69776460?\nAnswer: 627988140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*d = -2*k - 15 + 8, 3*d - 14 = -5*k for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 17 a factor of 1802?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 626 + -659.1. Let f = v - -33.1. Which is the second biggest value?  (a) f  (b) -5  (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*o**2 - 1287880*o + 3863676.\nAnswer: -4*(o - 3)*(o + 321973)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 2800623 + 3?\nAnswer: 2800626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -54*g**2 + 31*g**2 - 74*g**2 + 324*g - 120*g**2 - 230*g**2 wrt g?\nAnswer: -894","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1921310293 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 25\/(-6) - (-8 - -4).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((u\/u**6)\/u)\/(u\/u**(-7))*u*u\/(u*u**1)*u*u**0)**(-11))**40 assuming u is positive.\nAnswer: u**5720","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 4671152 and 1918?\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1239*y - 2796*y = 3040*y + 18979 + 109737 for y.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -603, -601, -599?\nAnswer: -597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = 3*s**2 + 25*s + 3. Calculate f(-11).\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-18)\/15)\/((-4)\/10). Let c be 1\/3*r + -100. Let t = 220 + c. What is the highest common divisor of 11 and t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c + 5702 + 9327 = z, 0 = -2*z + 10. What are the prime factors of c?\nAnswer: 2, 3, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 15, 24, 37, 54, 75, 100?\n\"Answer: 2*z**2 + 3*z + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1325.3 + 1325.300016905. What is o rounded to seven dps?\nAnswer: 0.0000169","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 7, b: 2, v: 1, k: 2}. What is prob of picking 1 v and 1 w?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = -3*j**3 + 2*j**2 - j - 2. Let p(m) = 7*m**3 + 2229*m**2 + 2*m + 3987. Let d(h) = -2*f(h) - p(h). Find the first derivative of d(q) wrt q.\nAnswer: -3*q**2 - 4466*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 3277149 and 424.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 17 - 12499\/232 - (-63)\/(-56)\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 279772.71 months to centuries.\nAnswer: 233.143925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) 2\/9  (b) -0.1  (c) 101\/179  (d) -2  (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(120)\/(sqrt(132)\/(sqrt(44)\/sqrt(4))))\/((-1*sqrt(45))\/sqrt(9) - sqrt(5) - sqrt(60)\/((sqrt(24)\/sqrt(2) - sqrt(12)) + sqrt(12))) + 3)**2.\nAnswer: -2*sqrt(2) + 83\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -81 or 288548?\nAnswer: -81","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = 10 - 10 - 6626*z**2 + 6631*z**2. Let a(d) = 2*d**2. Give k(a(h)).\nAnswer: 20*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 182 and 2046?\nAnswer: 186186","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 28.772484 microseconds?\nAnswer: 0.0000004795414","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*n - 5*s + 30, -3*s = -0*n + 4*n - 20. Suppose -3*k + 15 = n*k. Suppose -3*u = -4*u + k. Solve 3*x + 1 = 2*v + 2*v, -5*v + u*x = -5 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 23928 is divided by 3416.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -p + 3*y + 12, 4*p - 4*y = 3*p + 9. Suppose 0 = -p*z + 5*z. Solve 3*f + z = 6 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2 - 5 + 2)*(202992 + 202991 - 405983 + 18266*u**2 - u) to k*u**2 + r*u + n and give k.\nAnswer: -18266","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2?  (a) -3\/8  (b) -5  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence nubs when four letters picked without replacement from ulnlsgnsbgsusssub.\nAnswer: 3\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n + 7446 + 6405 = h, -2*n - 5*h = -6939. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2 = -c - 5*w, -5 + 2 = -2*c - 3*w for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + -1*sqrt(832) - (sqrt(832) - (5*(sqrt(832) + -1))**2)) + ((sqrt(832)*-1*1 - sqrt(832)) + 4)**2 + 5.\nAnswer: -544*sqrt(13) + 24175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = -4*u - 3, -3*u - 72 = -n. Find the third derivative of -2*i**3 - 15*i**2 + 2*i**3 - n*i**2 - 48*i**4 wrt i.\nAnswer: -1152*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -89458148*h + 2 - 2 + 178916297*h - 89458146*h.\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b - 21 = -5*y + 7, b - 8 = -y. Let t be 28\/(-5) - b\/10. Let k be -4*(-1)\/t*3. Does k = -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*((sqrt(57)\/sqrt(3) + -5 - (sqrt(19)*1 + -5)) + (2 + sqrt(19))*4*1).\nAnswer: 32 + 16*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -6 + 10. Suppose l - 37 = -5*c, j*c - 2*l = -3*l + 29. Is 4 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -4 + 6. Let a = 5 + -1. Suppose s*c + v - 9 = 0, c - a*v - 14 = -c. Is c a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n\/(n*n**(-2\/21)))**(-2\/91)*n**(12\/11)\/(n*n\/(n\/(n\/n**(-1\/7)))) assuming n is positive.\nAnswer: n**(-22157\/21021)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -1321 - -1328. What is the closest to 10 in 2\/5, a, 0.1, 1\/4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (5\/14)\/(510\/(-1020))\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:54 AM and 12:00 PM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 4 + -3 + -38 - (295 - 311)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 138.1, -100 in decreasing order.\nAnswer: 138.1, 1, -100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 102002 - 11?\nAnswer: 101331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from ammmnmmmnrmmmamn.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g = 13 - 21. Is 6 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -7237 - -14279. What are the prime factors of p?\nAnswer: 2, 7, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = -2*o**3 + 24*o**2 + 23*o + 19. Let l be r(13). Let y(j) = -j**3 - 24*j**2 - 82*j - 30. What is the remainder when 85 is divided by y(l)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -201 + 449. Let b = q - -35. Does 8 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 301210011 (base 4) to base 14\nAnswer: 53dad","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = 126*n + 3597. What is the remainder when v(-20) is divided by 346?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 105 smaller than 527\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 10837536041 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = m + 4. Let q(z) = -z**2 + 3*z + 9. What is -2*q(l) + 5*v(l)?\nAnswer: 2*l**2 - l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.91 - 0.09. Which is the nearest to k?  (a) -3  (b) 0.5  (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2255 is divided by 749.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -11 + 10002200111212?\nAnswer: 10002200111201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 243080 or 243084?\nAnswer: 243084","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -130, -770, -2360, -5326, -10094, -17090, -26740?\n\"Answer: -71*c**3 - 49*c**2 + 4*c - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -5006 and -161?\nAnswer: 805966","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((q*q\/q**5)\/q)\/q)\/q**(-14)*(q**(-4\/3)*q)\/(q**17\/q) assuming q is positive.\nAnswer: q**(-22\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = u**3 - 2*u**2 - 6*u - 2. Let z be d(-4). Let t = 134 + z. Suppose -7*v + t = -3*v. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify v**(-1\/8)\/(v*v\/v**2*v)*(v*v*(v*v\/(v*v**(-1\/3)))\/v)**(-1\/26) assuming v is positive.\nAnswer: v**(-379\/312)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 34*i = 33*i. Let n(l) = l**2 - l + 8. Let v be n(0). Suppose i = -6*m + v*m - 244. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -8 divided by -230.\nAnswer: 4\/115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = -92*r - 18. Let w(t) = -31*t - 6. Determine -6*g(d) + 17*w(d).\nAnswer: 25*d + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = p**2 + 6*p + 6. Let w = -42 + 36. Give g(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ccdccczccczcccv. What is prob of picking 1 v and 1 z?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Does 85 divide 798?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 1\/5 of a kilogram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 4498779759 to the power of 1\/3, to the nearest integer?\nAnswer: 1651","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) be the third derivative of -d**6\/120 + 3*d**5\/20 - 7*d**4\/24 - 17*d**2. Calculate the remainder when m(8) is divided by 8.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 31457335 and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 6\/4*4*1626\/12. What is the tens digit of (-10 - (-3)\/3) + z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*b - 2*b + 10. What is the third derivative of -2*y**3 - y**2 + y**3 + 0*y**b wrt y?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -59 = -2*n - 5*l, 3*n - 5356 + 5230 = 5*l for n.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -5 + 8. Suppose 4 = -2*x - l*p, -7*x + 2*x + 4*p + 36 = 0. Suppose 9 = 2*z - z - 4*i, 2*i = -x. What is the greatest common divisor of 1 and z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -86a2 (base 13) to base 3\nAnswer: -221200102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7233 is divided by 3609.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: (-33 - (-2 + -1)) + 7\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -2\/7  (b) -4.951  (c) 4  (d) -3  (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from {a: 6, y: 7, e: 4}.\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - 3 + 0)*(-3 + 3 + 3*a + 2)*(a + 5*a - a)*(2 - 6 + 1).\nAnswer: -45*a**2 - 30*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) be the first derivative of s**2\/2 + s - 1. Let k be y(3). Let q be ((-10)\/k - -3)*0. Solve -4*a - 3*b = -1, -a - 6*b + 2*b + 10 = q for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = -2*o**2 - 14*o + 11. Give y(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 11817?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 51 - 56. Let q = 36 + i. Is 0 != q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) be the third derivative of -n**6\/120 + n**5\/30 - n**4\/24 + 253*n**2. Factor k(u).\nAnswer: -u*(u - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l*(l**(-1)*l)\/l)\/l**(-6)*l*(l**2*l)\/l*l**(-2)\/l assuming l is positive.\nAnswer: l**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 2526 (base 10) to base 9\nAnswer: 3416","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.98788832 - 10.98788733. Let b = -9 - 1. Let q = b - o. Round q to seven dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 496475.\nAnswer: 5, 7, 2837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 340\/(-36) - -4 - (-1 + -4)\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) be the first derivative of 0*j - 17 - 7\/3*j**3 + 0*j**2. Let x(f) = -3*f. Give b(x(w)).\nAnswer: -63*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10201*i - 10201*i + 4 + 26*i**2 - i**2.\nAnswer: 25*i**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d = 4*o - 18, 28 - 11 = 3*o + 2*d. Let r(a) = -a**3 + 6*a**2 - 9. Let l be r(o). Does 5 divide 4\/24 - l\/12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -10083.2 rounded to the nearest 10?\nAnswer: -10080","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 29806 + -29804. What is the closest to o in 1\/8, 0.01, -40\/11?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 17015 by -34.\nAnswer: -17015\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -18 - 18. Let a = y + 55. Let m = a - 18.999992. Round m to 6 decimal places.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*h + h. Factor h*q**2 - q**2 + 30*q - 3*q + 4*q**2.\nAnswer: 3*q*(q + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -2\/15, -2\/13, 0, -2143\/4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + ((-3*sqrt(847) + 4)**2 + (sqrt(847) - (6*3*sqrt(847))**2))*-1.\nAnswer: 253*sqrt(7) + 266789","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*a + 4*a**3 + 7*a - 10*a.\nAnswer: 4*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*m + 12298 = 33*m. What is the highest common divisor of m and 462?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = 3*l + 28. What is k(-13)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2976, -68, 0, -6.\nAnswer: -2976, -68, -6, 0","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"}
{"text":"Question: Solve 4*r + 8 = 4*n, 8*r - 3*r = -3*n + 30 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -8 + 25. Suppose 0 = 2*v + g + 9. Let j = v + 18. List the prime factors of j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 11.29 in -5, 4, -126, 0.3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -1.383 from 0.341.\nAnswer: 1.724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 14660 is divided by 151.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 11 + -7. Suppose 5*q + 3*l - 29 = 5*l, -3*l = -n*q + 26. Suppose 5*r - q*o = 185, 0 = -4*r + 8*r - 2*o - 142. Does 16 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:39 AM and 6:48 AM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 147 + -148. What is the nearest to n in -1, 17, 0.2, -1\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -1218 + 1230. Let j(u) = -u**3 + 14*u**2 - 22*u - 11. Determine j(l).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (16\/6)\/((-4)\/(-14) - (-16880)\/(-53172)) - -7.\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*o + 195 - 195.\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o\/(o**4*o))\/o**(5\/6) assuming o is positive.\nAnswer: o**(-29\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 4*2\/24*18. Let x be b\/27 + (-642)\/(-27). Suppose -6*n = -3*n - x. What is the highest common factor of n and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 436812 or 436813?\nAnswer: 436812","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -7 - 2001?\nAnswer: -2008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 117 minutes after 10:22 PM?\nAnswer: 12:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g - 3*w + 2*w - 67 = 0, 3*w = 2*g + 51. Let f = -3 - g. Suppose -3*n - 4*n + 28 = 0. Solve f + 1 = -n*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = i - 1. Let r be s(4). Suppose 4*k = -0 + 8. Find the second derivative of -r*u**2 - u + 6*u**k + 4*u wrt u.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 22279168?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -6 - (-4 + (4 - 7) + -8)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = -10*d + 19. Is b(-5) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 71852 and 4828.\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 6 + 1322600?\nAnswer: 1322606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 37411375992.6653042710559 + 2556967.3346949429441. Let w = 37413932659 - i. Let n = 301 + w. Round n to seven decimal places.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**(-2\/5)*x*x*x**0)**(-25) assuming x is positive.\nAnswer: x**(-40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 8 - 13. Let m(q) = q + 13. Let k = 106 + -122. Let s be m(k). Is x greater than or equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2202662?\nAnswer: 2, 7, 11, 14303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 321372 is divided by 695?\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Add together -1 and -1.047.\nAnswer: -2.047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = h + 4. Suppose 3*l + l - 3*f = 22, 5*l - 5*f - 25 = 0. Let k = 1 - l. Give j(k).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 1250370.0999492 + -1250371. Let f = p + 0.9. Round f to 5 decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = -11*i**2 - 25*i - 29. Calculate r(-4).\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -13 divided by -1307313.\nAnswer: 13\/1307313","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k - 137*o + 135*o + 14 = 0, 2*k - 44 = -5*o. Sort k, 5, -6\/5, -0.09, 25 in decreasing order.\nAnswer: 25, 5, k, -0.09, -6\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 18*q**3 - 6 - 7*q**3 + 3 + 3.\nAnswer: 11*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 178.2+-1811.82\nAnswer: -1633.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Are 25044 and 19297 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find z such that 3*z**4 - 27*z**3 - 63*z**2 + 507*z + 540 = 0.\nAnswer: -4, -1, 5, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 5, 39, 89, 161, 261, 395, 569?\nAnswer: 789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor -237 + 2*l**3 + 167 + 238*l + 554*l**2 - 508*l**2 - 216.\nAnswer: 2*(l - 1)*(l + 11)*(l + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1 or -23259\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -9 + 12. Let m = z - 1. Solve m*l + 6 = 0, 5*s + 0*l + 2*l + 6 = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z - 3*l - 8 = -4*l, -3*l = z. Suppose -2*h = -2 + z, -61 = -j + h. Does 14 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -38 and 8?\nAnswer: -304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*q**4 - 5*q**4 + 0*q**4 - 8*q**4 - 2*q + 2*q + (q**3 + q**3 + q**3)*(0 + q + 0).\nAnswer: -7*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) be the third derivative of -y**5\/390 + y**4\/26 - 3*y**3\/13 + 10*y**2. Factor a(d).\nAnswer: -2*(d - 3)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) -5  (b) 110  (c) -0.1  (d) 933\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from fhgnh. What is prob of sequence fn?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**(7\/2)*w*w)\/w**(1\/10) assuming w is positive.\nAnswer: w**(27\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3\/(-2)*(-29)\/(58\/(-24)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = 31*t**2 + t - 11. Let n be 1\/2 + 1\/(-2) + 5. Is y(n) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000000474617 to seven dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -38 - -41. Suppose 22*r = a*r + 3*r. Is r at most 2\/83?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 173122361.\nAnswer: 5821, 29741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 4.94 - -0.06. Let j = -2 + i. Let z(x) = x**2 - 21*x - 47. Let s be z(-2). Which is the nearest to s?  (a) -0.4  (b) j  (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 10695 and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 66808 and -1799?\nAnswer: -120187592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -34 + 17. Is (-2 + b\/(-3))*9 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1398.\nAnswer: 2, 3, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*s + 110 = -2*q, -130081*s + 130082*s - 298 = 5*q for q.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = 338*o**2 + 3*o + 3. Let r(n) = n + 7 - 12*n - 4*n**2 + 6*n**2. Let m be r(5). Is a(m) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 less than -268400?\nAnswer: -268400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Determine i so that -4*i**5\/7 + 1108*i**4\/7 - 101560*i**3\/7 + 3010968*i**2\/7 + 6331068*i\/7 + 3217428\/7 = 0.\nAnswer: -1, 93","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1424437?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 991 is divided by 48?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1000000011 - 1110?\nAnswer: -1000010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -70518, -141049, -211580, -282111, -352642, -423173?\n\"Answer: -70531*w + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.07?  (a) 1\/2  (b) -27  (c) -14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k - 256 = 5*o, 4*o - 2*k + 96 = -104. Let l = 67 + o. What is the remainder when 4\/22 - (-964)\/22 is divided by l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 43008836 to the power of 1\/2, to the nearest integer?\nAnswer: 6558","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = y - 37. Let j be s(35). Let m = 40 - 24. Let u be (-5 - -3)*(-6)\/4. Put j, m, u in increasing order.\nAnswer: j, u, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = -5197*o + 114327. Calculate v(22).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = -22*z**3 - 3*z**2 + 1. Let k be r(-1). Suppose k = 37*p - 32*p. Solve -7 + 3 = p*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 328 and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) be the second derivative of 1\/36*q**4 + 1\/120*q**5 + 0*q**2 - 1\/12*q**3 + 3*q + 0. Let g(m) = 0. Calculate m.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 13184200 rounded to the nearest ten thousand?\nAnswer: 13180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l*l\/(l\/(l\/l**(1\/7))))\/l*l*l*l)**(2\/33)\/((l\/l**(5\/3))\/((l\/(l\/l**(-3\/7)))\/l*l)) assuming l is positive.\nAnswer: l**(109\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -791*a - 721 + 2*a**2 + 791*a.\nAnswer: 2*a**2 - 721","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -9\/69679 and 95\/826.\nAnswer: 975506","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {v: 7, x: 3, i: 2, j: 4, w: 1}. What is prob of picking 1 x, 1 i, and 1 v?\nAnswer: 21\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {n: 1, o: 10, j: 1, d: 2, c: 2}. What is prob of picking 1 j, 1 n, and 1 d?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*t**5 - t**5 - 4*t**5)*(-5 + 4 - 1) + 2*t**5 + 0*t**5 - t**5 + 5*t**3 + 9*t**5 - 2*t**3 - 2*t**3.\nAnswer: 12*t**5 + t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {j: 4, z: 5, m: 1}. Give prob of sequence jj.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 868 + 2*r**2 - 1733 + 868.\nAnswer: 2*r**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Work out 194560912.1832 - 5.\nAnswer: 194560907.1832","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify y**(6\/13)*y*y**(-1)*((y**23*y)\/y)\/(y*y**(-4)*y*y) assuming y is positive.\nAnswer: y**(318\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000155858992 rounded to 5 decimal places?\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-34)\/(-14) - (-6)\/(-14). Suppose 26*v + 18 = 32*v. Suppose v*y + 2949 = 3*g, -1962 = -d*g - 3*y + 4*y. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*d = -12*d + 48 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Put 9, 7, 4 in decreasing order.\nAnswer: 9, 7, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is -623 >= -624?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 2453473 and 737.\nAnswer: 737","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 17 (base 14) to base 6.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 68.1 - 68. Which is the closest to -0.2?  (a) 0.4  (b) -2\/25  (c) 0  (d) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 1824302 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 6 + -3. Let s(m) = m**3 + 3*m**2 + 3*m + 3. Let t be s(-2). Put -2, t, z in descending order.\nAnswer: z, t, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 52 - 112. Let s = 59.978 + p. Round s to two dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/40 of a kilogram in milligrams?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*sqrt(486)*-2)\/((sqrt(50) + sqrt(100)\/sqrt(2))*-5)*5*3.\nAnswer: 54*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 972487\/9 smaller than 108055?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) be the third derivative of k**4\/4 + k**3 - 125*k**2. Let b(o) = -o - 1. What is -5*b(f) - z(f)?\nAnswer: -f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 9765.17?  (a) 3  (b) 4  (c) 1.8  (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 11 - (-13 + (73 - 34))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 39402.\nAnswer: 2, 3, 11, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = 5*l**2 - 10*l. Let p(i) = -203901*i. Determine v(p(u)).\nAnswer: 207878089005*u**2 + 2039010*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 296*q**4 + 425*q**3 + 4*q**2 + 2654782*q.\nAnswer: 3552*q**2 + 2550*q + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2 + sqrt(117) + -1)*4 + 3*(0 + sqrt(117))*-3)**2*6 + 0.\nAnswer: -720*sqrt(13) + 17646","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -115 (base 6) to base 5\nAnswer: -142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1445?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -22464 (base 12) to base 4\nAnswer: -23020030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -3*c*n - 2*c*q**3 + 4*c*q**2 - 81*n*q**3 + 2*n wrt q?\nAnswer: -12*c - 486*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 103 minutes after 7:16 AM?\nAnswer: 8:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of ((-2)\/(-4))\/(14\/218) and -109\/20?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-4)\/(19*(-8)\/(-228))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 7*1*(-18)\/(-231)?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 0\/(-2) + -1 + -1\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 59 by 16.\nAnswer: 59\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 72 - (-35 + 89 - 11).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g - 2*g - 44 = l, -2*l - 2*g = 92. Which is greater: l or -46?\nAnswer: -46","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = -i**2 - i. Let h(s) be the first derivative of -7*s**4 - 22*s**3\/3 + 31*s**2 - 16*s + 8. Let z(p) = h(p) - 2*l(p). Find n such that z(n) = 0.\nAnswer: -2, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1485 and 55.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = 11*o - 5. Let f(j) = -15*j + 14. Let z(m) = 54*m - 57. Let w(g) = 9*f(g) + 2*z(g). Let q(l) = 2*l. Let h be q(6). Calculate h*x(n) + 5*w(n).\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0547587613 to five dps.\nAnswer: -0.05476","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find s such that 36*s**2 - 668*s - 6440 = 0.\nAnswer: -7, 230\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 177029850.\nAnswer: 2, 3, 5, 23, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m**5\/5 - 118*m**4\/5 + 148*m**3 + 32208*m**2\/5 + 29376*m\/5 - 62208\/5 = 0. What is m?\nAnswer: -12, -2, 1, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -384.039 - -384. Let z = -0.03899828 - g. What is z rounded to six dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = 13*z + 2. Determine f(-1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Total of 1051436 and 658.\nAnswer: 1052094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -3657 + 3659. Solve -2*p - 7 = t, -h*t + 3*p + 17 - 3 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -35223355 - 3?\nAnswer: -35223402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express 4*k**2 + k**4 - k**3 - k - 5*k + 4*k as b*k**2 + w*k + j + v*k**3 + p*k**4 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 693 minutes after 11:46 PM?\nAnswer: 11:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3725*l + 3744 = -4013*l for l.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4\/((-16)\/36) - (8\/20 - 106\/(-10))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -66*y + 70*y = -20. Let r be (-3)\/(y - -3*85\/60). Solve x - 16 = 4*v, -v - 3*v - r*x - 16 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = f**2 + 5*f + 6. Let p be 2\/(-4) - (-3)\/6. Suppose 0 = -p*b + 2*b + 12. What are the prime factors of v(b)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 4\/1353?  (a) -0.09  (b) 2\/5  (c) 20  (d) 2\/3  (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s + 4*s = -8. Is 26 a factor of s\/26 + 9846\/117?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -4, 15, -4.555, 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -4 in 3, -3\/7, 1\/2, -1614, 0.222, 0.1?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = k**2 + 8*k - 6. Let s = 14 - 22. Let x be m(s). Let f be (-26)\/(-6) - 4\/x. Solve 0*u = -f*u + 15 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s - 4*u = -33, -s = -3*u + 3 - 1. Solve -1 = 4*k + s for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*n - 4*k - 13, 0*n = -5*n - 5*k + 10. Let v(t) = 2*t**2 + 3*t - 6. Let p be v(-5). Let b = -17 + p. Solve n = -2*q + g, -3*q - 2*g - b = 2*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-26)\/(-8) + 6\/(-24). Suppose -3*x + 4*x - y = 0. Let w = -210 - -230. Solve -x*a + w = 2*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -5\/299 - -5153\/4186. Find the common denominator of ((-2)\/10)\/((-68)\/(-690)) and y.\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 11, -1, 2\/15, -6, -2\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: (((-2)\/(-3))\/(84\/(-378)))\/1\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 2355 and 3925.\nAnswer: 11775","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = r**3 + 119*r**2 + 115*r - 347. What is y(-118)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 293 minutes before 7:29 AM?\nAnswer: 2:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 6 - (-8 + -2 + 13)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 50584645013 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = -12*k + 3. Let v(p) = 737*p - 190*p - 179*p - 178*p - 2 - 179*p. Calculate -3*v(c) - 2*x(c).\nAnswer: -9*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 40872, 40545, 40218, 39891?\n\"Answer: -327*s + 41199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {i: 2, e: 1, y: 1, s: 6, j: 4, f: 1}. Give prob of sequence iji.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from uhumhcuumhhuccuhhhuu. Give prob of picking 2 u and 1 m.\nAnswer: 14\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = -q**2 + 17*q - 39. Let g be c(3). Suppose 3*d = -g*d + 2472. Is 35 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:09 PM and 4:48 PM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 2333 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-166)\/(-14) - 5\/(-35).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n + 3*n = f - 4, 3*n + 16 = -f. What are the prime factors of 0 + 2 + (f - -5)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 136*n = -81*n + 592844. What is the thousands digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v + 181 = 3*p, -v - 2*v + 98 = 2*p. Suppose 0*w + 4*k = w - 31, -5*w = 5*k - p. What is the remainder when 74 is divided by w?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1300143?\nAnswer: 3, 13, 17, 37, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1393 is divided by 20.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 185471*q**2 - 53 - 185471*q**2 - 2*q**3.\nAnswer: -2*q**3 - 53","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -4\/67  (b) -5  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round -1705.6 to the nearest one hundred.\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 247*s - 20524701 - 1272647 - 24838475. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -2141 - -2140.97. Which is the nearest to -6\/23?  (a) 0.3  (b) 4  (c) -1  (d) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (100\/(-15))\/(-1 - 4\/(-3)). Suppose 4*c = -2*a - 16, 5*c + 1 = 3*a + 3. Is (-6144)\/m - c\/(-10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) be the second derivative of -129*m**5\/4 + m**3\/2 - 81*m**2\/2 + 796*m. Find the second derivative of x(j) wrt j.\nAnswer: -3870*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x - 3 = 3. Suppose -2*l - x + 3 = -5*n, 3*l = 4*n + 6. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -8420, -33334, -74756, -132686, -207124, -298070?\n\"Answer: -8254*q**2 - 152*q - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ajj when three letters picked without replacement from jaeeyyejejyejja.\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort -51, -1, 1, -6148, -3 in ascending order.\nAnswer: -6148, -51, -3, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express g**3 + 10 - 44*g + 9*g**2 - 11 + 43*g as n + k*g + h*g**2 + z*g**3 and give h.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*d - 2*d + 5*d)*(-8 + 8 + 21*d**2) + 0 + 0 + d**3 + d**3 - 4*d**3 + 4*d**3 + 3*d**3 + d**3 - 5*d**3.\nAnswer: -20*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = -q**2 - q - 1. Let y(k) = -24*k**2 - 28*k + 6. Let h(x) = 12*p(x) + 2*y(x). Find the second derivative of h(w) wrt w.\nAnswer: -120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 403312 (base 5) to base 12.\nAnswer: 75b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 2633639519 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -1609173*s**3 + 48*s**2 + 10*s + 613.\nAnswer: -9655038","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -9 or -38581?\nAnswer: -38581","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 26, 38, 38, 20, -22?\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 64726025?\nAnswer: 5, 7, 13, 23, 1237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -2 + 5. Suppose -2*m = u*m - v - 12, -2*v = -5*m + 9. Suppose -2*t + 14 = 2*p, -m*t = t + p - 40. Calculate the lowest common multiple of t and 3.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = h**2 - 12*h + 13. Let n(q) = q**2 - 9*q + 11. Let d be n(9). Let t be o(d). Suppose m = t*m - 3. Solve -m*w = -w + 8 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 68 and 170?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = 3*f + 33. Let h = 89 + -100. Let x be p(h). Solve x = -2*g + s + 4, -4*g = -4*s - 1 - 11 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 146785.045 rounded to the nearest one thousand?\nAnswer: 147000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2513345535.\nAnswer: 3, 5, 17, 3285419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = -6*d - 12. Suppose -3*u = -0*u + 18. What is the tens digit of q(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 75 + -81 + 28 + 44?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -4471 - -4468 - (-1 + 3 + (3 - (-45 + -3)))\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-4)\/3)\/(24\/(-36)). What is the tens digit of (14 - 0) + b + -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = -6*i**2 + 155*i - 117. Let k be l(25). Let u = -7 + 15. Are k and u nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v + 4 = y - 2*y, 0 = -3*v. Let t = 14 + y. What is the remainder when 18 is divided by t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 46648?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 374573735 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 119 = -4*o - z, 27606*z = 3*o + 27605*z + 84 for o.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = -36*b**2 + 2*b - 1. Let l be r(3). Suppose -2*n = -2*k + 168 + 264, 4*k - 1085 = 5*n. Let u = n - l. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 z, 1 x, and 1 l when four letters picked without replacement from zzxlzyj?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 80 and 530?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -11 - (22 - (35 + -15)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 35134.71 minutes in seconds?\nAnswer: 2108082.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) be the second derivative of 1033*t**4\/12 + t**3\/3 - 499*t**2\/2 - 2*t - 1701. Find the second derivative of h(z) wrt z.\nAnswer: 2066","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2451 (base 8) in base 14?\nAnswer: -6a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -1  (b) -10.4  (c) 8  (d) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 168, -5, -1.\nAnswer: -5, -1, 168","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 - 1 - 2216075\/(-7 + 2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 22 a factor of 4217?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -23 - ((11 - (-20 - (-3 - 21))) + -5)\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*v**2 + 0*v**2 + v**2)*(2*v**2 - 7*v**2 + 4*v**2) + 90*v**4 - 3*v + v - 37*v**4 + 2.\nAnswer: 54*v**4 - 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -15  (b) 2\/63  (c) 15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 - (1 - (6 - 5))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 8832 divided by -384\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from hhhyhhhhhohyhh. Give prob of picking 1 h and 1 y.\nAnswer: 22\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = 3*j + 2. Let y(m) be the first derivative of -3\/2*m**2 - 2*m + 15. Give -4*n(l) - 3*y(l).\nAnswer: -3*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 132754657 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 144390 and 555?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17*k = 42757 - 369276. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = -s**3 + 6*s**2 - s - 11. Let n be l(5). Suppose 0 = n*a - 30 - 6. Suppose -1 = -3*c + 2. Put c, -5, 9, a in ascending order.\nAnswer: -5, c, a, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 31*b**2*l**2 + 38*b**2*l - 2*b*l**2 + 7*l**2 wrt b.\nAnswer: 62*l**2 + 76*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:51 PM and 12:13 AM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = -4*p**3 - 2*p**2 + 2*p + 2. Let o(q) = -9*q**3 - 5*q**2 + 5*q + 5. Suppose 3*r + 11 = -10. Let g = r - -5. Let i = 0 + g. Give i*o(d) + 5*z(d).\nAnswer: -2*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 4075.363 litres?\nAnswer: 4075363","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = -575*j - 155. Let c(n) = 2308*n + 621. Let r(d) = 2*c(d) + 9*s(d). What is the first derivative of r(l) wrt l?\nAnswer: -559","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 496 minutes after 6:44 AM?\nAnswer: 3:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 r and 1 q when two letters picked without replacement from pbrqoorobo.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-2)\/15)\/(109*11\/23980)?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = -256*v**3 + 4*v**2 + 29*v + 77. What are the prime factors of m(-3)?\nAnswer: 2, 3469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:57 PM and 7:58 PM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 59 and 59.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 87\/2 of a litre?\nAnswer: 43500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 14 + -12. Let g = -2 - -2. Differentiate m**2 + 2 - 2*m**n + g + 1 with respect to m.\nAnswer: -2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 0.06, -1, 2\/9, 13?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Factor 0 - 7\/6*u**2 + 0*u**3 + 1\/6*u**4 - u.\nAnswer: u*(u - 3)*(u + 1)*(u + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 5608752 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = -25*j**2 + 9. Give q(1).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0968737 to two dps.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (5*828\/46)\/2.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0*28\/14*(-1)\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -11 + 16. Suppose -1 = o*z + 4. What are the prime factors of (1 - (1 + z))*7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -5.2 * 0.236.\nAnswer: -1.2272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -1*(-2)\/(-4)*0\/16?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3378?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -277.4 + 138.3. What is v rounded to the nearest ten?\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -4983 + 5017. Solve 3*d + 19*i = 14*i - x, -5*d + 3*i = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 1\/36  (b) -0.3  (c) 2  (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6904340.\nAnswer: 2, 5, 73, 4729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 9929 to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*j - 3*j + 525. Let x be (1 - 5) + (-24)\/9 + (-2405)\/(-111). What is the highest common factor of j and x?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*d - 149 = 40. Is 133\/3 - (-28)\/d a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*sqrt(95)\/(sqrt(5) - (sqrt(320) + sqrt(5))) - (sqrt(1368)\/sqrt(2) + sqrt(19))*4) + 1.\nAnswer: -219*sqrt(19)\/8 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = -3*z + 9. Let f(a) = 4*a - 10. Let y(n) = -2*f(n) - 3*u(n). What is y(5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = 1001*v - 6. Let j be f(3). Let z be j\/(-45) - ((-6)\/5)\/(-3). Let o = z + 70. Is o equal to 30\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000064939 rounded to six decimal places?\nAnswer: -0.000065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -4 - ((-16)\/(-12))\/((-28)\/78).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Are -8503 and -584.3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 23680855.\nAnswer: 5, 11, 557, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 77 - 82 - (-1 - -2 - 0)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1381685902?\nAnswer: 2, 3911, 176641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 691 is divided by 26?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 1595 + -1593. Let q(z) = 68*z - 1. Let u be q(2). Find the third derivative of -16*v**2 + u*v**5 + v**a - 126*v**5 wrt v.\nAnswer: 540*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.6*-238.7\nAnswer: -143.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 4\/38 + 30\/76. What is the nearest to 3 in 0.2, -4, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -84114*q**2*w*x**3 + 8*q*w*x**2 - 2*q*x + 21*w*x**3 + 2*w*x**2 wrt q?\nAnswer: -168228*w*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 8\/(-18) - -7*(-272)\/252?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (40\/(-25))\/((-3)\/(-15)). Let l be (-34)\/(-272) + 1\/g. Let i = 6 - 3. Which is the third biggest value?  (a) i  (b) l  (c) -22  (d) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*q + 21 = -g + 18, q = -4*g + 15 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 7608438 - 28?\nAnswer: 7608410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 23152?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -87378313, -87378311, -87378309, -87378307?\n\"Answer: 2*k - 87378315","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1568597 or -1568595?\nAnswer: -1568597","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 852172.\nAnswer: 2, 213043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 + 2 = 2*o + 2*c, -3*c = 15. Suppose 0 = k - 5*k. Let p(j) = 0 + k + o*j**2. Let z(b) = 2*b. Calculate z(p(g)).\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express z**2 - 75*z**4 + 2 + z + 134*z**4 - 80*z**4 in the form r*z**3 + m + g*z**2 + b*z + t*z**4 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 3195540085 to the nearest integer?\nAnswer: 1473","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*l**5\/3 + 96*l**4 - 4030*l**3 + 118300*l**2\/3.\nAnswer: -2*l**2*(l - 65)**2*(l - 14)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 4.4 - 0.4. Let h = -40 + 39. Which is the nearest to -1?  (a) 1  (b) w  (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -39 - 2 = 41*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.08791210014 to 6 dps.\nAnswer: -0.087912","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -18 - -35. Suppose -4*l + 3*x = -h, 2*x = 5*l - x - 19. Suppose l*u = -2*u. Round u to 4 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 37405645187 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 1349, 5393, 12139, 21581, 33713, 48529?\n\"Answer: -i**3 + 1357*i**2 - 20*i + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -81.9065 - 0.1935. Let w = a + 78. Let y = w + 4.024. What is y rounded to 2 dps?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2.3, 0.3, 0, 48.4 in descending order.\nAnswer: 48.4, 0.3, 0, -2.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -5 + 7. Suppose -6 + 20 = 2*k - 4*h, -4*h - 5 = k. Suppose 4*a - 6 = 14. Solve p*s + a*r = -s + 7, -k*r = -2*s + 11 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) be the second derivative of -n**3 - n**2\/2 - 2*n - 6. Suppose 3*u + 3 = 6. What is l(u)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-14)\/3 + (-36)\/(-54).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 2*r**3 + 3350*r**2 + 8*r + 90841?\nAnswer: 6*r**2 + 6700*r + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = -5*n**2 + 4*n. Suppose -5*x - 27 = -7. Let i(w) = -w**2 - w - 5. Let z be i(x). Let v(t) = -14*t**2 + 11*t. Give z*h(d) + 6*v(d).\nAnswer: d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14*t = 32 - 46 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = 12*v**2 + 15*v. Let j(b) = 8*b**2 + 10*b. What is -5*i(c) + 7*j(c)?\nAnswer: -4*c**2 - 5*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert 13 (base 13) to base 12.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -21696523535 minus 26?\nAnswer: -21696523561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Does 17 divide 7238?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = 5*t**3 - 18*t**2 - 14*t + 23. Calculate o(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z = 3*o - 17, -2*o + 3*z = -7*o + 33. Let c(m) = m. Let d(u) = -3*u + 3. Let g(f) = o*c(f) + d(f). What is g(-7)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1ed (base 15) in base 12?\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = v**3 - 2*v**2 + 2*v - 1. Suppose -3 = -3*l - 0. Let h be (-1 + l + -1)\/(-1). Let t be b(h). Which is smaller: -1 or t?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) -4\/5  (b) 0.05  (c) 2  (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v - 48 - 6 = -5*w, 0 = 5*v + 3*w - 74. Solve -90*p = -82*p + v for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = 7*w + 1. Let h(d) = 31*d - 9. Let v(l) = 16*l - 5. Let b(x) = -6*h(x) + 11*v(x). Suppose -2*s + 50 = 8*s. Give s*b(q) + 7*f(q).\nAnswer: -q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in -9.2865483, 1, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 178212 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: Convert -3449a39 (base 11) to base 15.\nAnswer: -7e1d07","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 5685750 and 18004875?\nAnswer: 108029250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5 + 4 + (4 + (sqrt(612) + sqrt(612)*-3)*6)*3 + -1 + 3)**2.\nAnswer: -9936*sqrt(17) + 793681","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express 30*z**2 + 0*z + 5*z**3 - 31*z**2 - 2*z - 2*z**3 in the form c*z + u + k*z**3 + r*z**2 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = -154*k**2 - 55. Suppose 24*x = 7*x + 51. Let h(u) = -3 - x - 15*u**2 - 6*u**2 + 4*u**2. Calculate -55*h(s) + 6*p(s).\nAnswer: 11*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -60 + 78. Suppose -5*p + 12 + c = 0. Suppose 4*r + 3 - 1 = -5*j, 0 = 3*j + p. Solve 3*f = r + 4 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2375?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = -11*w**2 + 206*w - 1693. Give j(8).\nAnswer: -749","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = -d**2 - 6*d + 68. Let y be o(-10). What is the greatest common divisor of y and 238?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 1299457053?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 2 - -4d?\nAnswer: 4f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -2120.3 rounded to the nearest 100?\nAnswer: -2100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 19, 24, 21, 4, -33?\nAnswer: -96","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = 3*y - 23. Suppose -7 = -z + 41. Let p(b) = 47*b - z*b + 10 - 2. Give -6*d(x) - 17*p(x).\nAnswer: -x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 3002 + -18005\/6. Let k = -13515 - -783915\/58. Calculate the common denominator of m and k.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0.7  (b) -6\/1081  (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:22 AM and 1:12 PM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -13 - 17. Let q = -17 - r. Solve -5*u + 24 + 11 = 3*f, q = -3*u + 5*f for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify p**(2\/7)*p*p**(-1\/2) assuming p is positive.\nAnswer: p**(11\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*f + 26 + 14. Solve -14*c = -12*c - f for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 21723610?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 36303897 is divided by 300.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 8300.724ug in nanograms?\nAnswer: 8300724","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*h + 5*j - 12, 3*h - 2*j - 32 = -7*j. Let b be 264\/10 - ((-270)\/(-50) + -5). Calculate the lowest common multiple of 3 and (b\/20*h)\/((-26)\/(-65)).\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 x, 1 w, and 1 f when three letters picked without replacement from fwffxgq?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: ((12\/(-15))\/(-1))\/(8\/20)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) -5  (b) -4  (c) -2\/5  (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -14.66 * -0.02\nAnswer: 0.2932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {n: 5, a: 5, w: 3}. What is prob of sequence nw?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor j**2 - 3139*j - 404612.\nAnswer: (j - 3263)*(j + 124)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (869\/4)\/(29\/116)?\nAnswer: 11, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -23.4 + 24. Which is the third biggest value?  (a) 0.2  (b) n  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, -26\/45, 0.4, -0.125, -0.06 in decreasing order.\nAnswer: 5, 0.4, -0.06, -0.125, -26\/45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*i = m + 3*m, -i - 3*m - 10 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = 43*g - 3. Suppose v = 19 + 2. What is the remainder when i(2) is divided by v?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 10 divided by -13\nAnswer: -10\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 0\/1*(-7)\/(-14). Let q(k) = 2*k**2 - 2. Let h be q(2). Find the third derivative of x*z**h - z**2 - z**2 + 2*z**6 wrt z.\nAnswer: 240*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = -9*p + 0*p**2 + 27 - 23 - 4*p**2. Let a be z(-3). Let j be (a\/(-10))\/(5\/220). Calculate the greatest common factor of 99 and j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 1161722*f**3 - 202126*f**2 + f wrt f?\nAnswer: 6970332","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 1032543 and 1261997?\nAnswer: 11357973","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is (16 - 15)*88\/78 - 14\/21?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = -6*f + 23. Let o be (-2)\/7 + 99\/(-21). Let h(x) = -x + 1. Let s(r) = o*h(r) + t(r). What is the smallest common multiple of s(9) and 4?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -581, -594, -621, -668, -741, -846, -989, -1176?\nAnswer: -1413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = -m**3 - 6*m**2 - 3*m - 10. Let w be b(-6). Solve 0 = 3*y - w*y + 20 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) -4  (b) 75  (c) 1\/3  (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z = 102*u - 105*u - 3, 3*u + 5*z = 15. What is the nearest to -0.1 in -0.4, 3, u, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = 2*s. Suppose 0 = -3*t, -2 = y - t - 6. Let p(u) = -5 + y*u + 5 + 2*u. Calculate p(o(d)).\nAnswer: 12*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is -3\/266 greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = 3*h + 48. Give b(-14).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 473.692ml?\nAnswer: 0.473692","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = 2 + 1 - k**2 + 2*k**2 - 3*k. Let l(h) = h**3 + 11*h**2 + 11*h + 14. Let p be l(-10). Suppose -2*r = i - 1, -p*r + 1 = 5*i - 10. Give v(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*k - 147 + 7 = 0. Let j = 142\/5 - k. Put -3\/5, j, 3\/46 in decreasing order.\nAnswer: j, 3\/46, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3 divided by -21774732\nAnswer: 1\/7258244","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (n - n + 2*n)*(173*n + 146*n - 517*n)*(1 + 3 - 2).\nAnswer: -792*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Divide 3 by -484.\nAnswer: -3\/484","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 17989 is divided by 1798?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*l - 1 - 14. Suppose -o + l*o - 56 = 0. Suppose -o - 4 = -2*z. Solve n + z = 4*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 5\/20 + (-23)\/(-4). Solve -l - m = -2 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1 - -7) + (-28 - -25)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = -23*d - 326. Let o be a(-14). Suppose -2*g + 8 = -6*g. Let u be g - (600\/303 + o). Which is greater: u or -1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is five quarters of a meter in centimeters?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -b - 5*u - 6, -254*b + 256*b = -4*u for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 1167 - 1154. Let c(t) be the first derivative of 0*t + 0*t**3 - 2*t**2 - 7\/2*t**4 + a. Find the second derivative of c(m) wrt m.\nAnswer: -84*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = 9*s**3 + 3568*s**2 - 1973*s + 4738. What is i(-397)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 3609944651 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = 3*x**2 + x - 2. Let b be d(-2). Let o(m) = 7*m**2 + 11*m + 261. Let h(k) = 20*k**2 + 30*k + 741. Let u(l) = -6*h(l) + 17*o(l). What is u(b)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = -n**3 + 4*n**2 - 3*n + 4. Suppose 4*j + 35 = 5*g, -4*j - 11 = 9. Let i be p(g). Let 1\/3*l**2 + 1\/3*l**3 + 0 - 1\/3*l**i - 1\/3*l = 0. Calculate l.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = -102*z - 1639. What is the tens digit of i(-67)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -5559, -5560, -5561, -5562, -5563, -5564?\nAnswer: -5565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 o when four letters picked without replacement from {q: 5, o: 4, b: 5}?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = -2*w**3 + 314 + 3*w**2 + 0*w**2 - 317 + 2*w + 3*w**3 + w**2. Suppose -5*r + 5 = -5. Suppose 3*l - 7 = -4*h, l = r*l - 2*h + 11. Determine u(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 329*x - 33300 = 311*x. What are the prime factors of x?\nAnswer: 2, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 57\/2 of a gram?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0 + 4. Suppose -u*h - h + 80 = 0. What is the highest common divisor of 4 and h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 8, -24997, -4.\nAnswer: -24997, -4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = -6*j + 234. What is w(42)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 (base 3) in base 9?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o - 41 = -o + 4*j, 0 = -2*j - 4. Let u(w) = w - 9. Let n be u(o). What is the units digit of 14\/2 - (n - 1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o + 3*h - 8 = -0, -o - 2*h = -5. Let d = -23 - -27. Suppose -d*w + w = -4*t + 29, 0 = 5*t - 25. Sort o, 7, w in descending order.\nAnswer: 7, o, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -63998, -66148, -68298, -70448, -72598, -74748?\n\"Answer: -2150*r - 61848","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 4\/(80\/76) + (-8)\/10. Factor 3\/2*g**2 - 2 + 2*g**f - 2*g + 1\/2*g**4.\nAnswer: (g - 1)*(g + 1)*(g + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = -784*u + 2406. What is the units digit of d(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-60)\/(-1020) + 103\/(-17). Let s be (1 + 0)*(-5 - -3). Put i, 15, s in descending order.\nAnswer: 15, s, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*t**2\/7 + 360366*t\/7 - 360368\/7 = 0. What is t?\nAnswer: -180184, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:46 AM and 7:34 AM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is (1 - 5\/15)*(-1008)\/576?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2991 = 5*n + 3*x - 203, 1288 = 2*n - 4*x. Does 5 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = 525*a**2 - 2*a. Let k(i) = 528*i**2 - 2*i. What is 2*k(w) - 3*u(w)?\nAnswer: -519*w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -855 - -855. Let y(h) = -h - 26. Give y(t).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6761873491 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 251999193 is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -130, 3, 5, -0.1, -4, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Does 305 divide 2048481?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-75*z**2 - 39 - 177*z**2 + 40)*(-29*z + 10*z + 6*z).\nAnswer: 3276*z**3 - 13*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = -n**2 + 16*n + 9941. What is a(-92)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 37203920 is divided by 167.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Does 98 divide 454?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = 28*a**2 + 19*a - 137. Is x(9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g*g*g\/(g*(g**(1\/26)*g)\/g)*g)\/g**(-3\/5)*((((g\/g**(3\/5)*g)\/g)\/g)\/g)**(2\/19) assuming g is positive.\nAnswer: g**(8381\/2470)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(17) + 1 + 0)**2 + sqrt(425) + -1.\nAnswer: 17 + 7*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -487*x**3 + 130*x**3 - 438*x**3 - 192*x**3.\nAnswer: -987*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 47051 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = -i**3 + 8*i**2 + 2*i - 9. Let s(a) = 7*a - 3. Let f be s(3). Suppose -4*k + f = -14. What is the units digit of c(k)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = 2*k**2 - 2*k + 1. Let p(n) = 13*n**2 - 12*n - 2. Let q(t) = -6*j(t) + p(t). Let s(h) = -3*h**2 - 2*h. Calculate s(q(x)).\nAnswer: -3*x**4 + 46*x**2 - 176","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 147\/5 + 4\/(-10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add -22.0080151 and 0.347.\nAnswer: -21.6610151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -24\/13 + 12\/91. Calculate the common denominator of -59\/5 and j.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8753 + 5135 + 16578 = 1444*d + 3030 for d.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b - 2*o = -1563, 35*b + 4*o + 2084 = 39*b. What is the remainder when b is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 45  (b) -4  (c) 0.5  (d) 40  (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-32)\/(-952))\/(3\/(-84)*8)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = 6*q + 6. Let n = 9 - 7. Let h be k(n). Calculate the highest common factor of h and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 6 + 1)*(-5*z**4 + 2*z**4 + z**4) + 2*z - z**4 - 2*z + (2*z - 2*z - 2*z)*(-3*z**3 + 3*z**3 + 2*z**3) - 5 - 3*z**4 + 5.\nAnswer: -4*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -10371557, -10371559, -10371561, -10371563?\nAnswer: -10371565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2 (base 15) to base 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 2619 a factor of 11628240?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from llll. Give prob of sequence lll.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = 2678*g - 5357*g + 2683*g. Let j(m) = 18*m + 1. What is u(j(p))?\nAnswer: 72*p + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -215 + 218. Is 6 a factor of ((-2)\/(-3))\/(1563\/(-522) + b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = 2*m - 3. Let a be j(4). Suppose k = 5*k + 4*w - 116, w + a = 0. Calculate the remainder when k is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-27)\/45 + 168\/5. Calculate the common denominator of y\/15 + (-1 - 1) and 59\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 686438460 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) be the first derivative of -h**2 - 4*h + 3. Let q be z(-3). Let m be -5*(24\/(-10) + q). Solve -a - 2*a - m*y + 1 = 0, a + 11 = 5*y for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -92 = 49*o - 26*o. Sort 4, 7.6, o in ascending order.\nAnswer: o, 4, 7.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -1 + -a6?\nAnswer: -a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 13535?  (a) 5  (b) 3  (c) -98  (d) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 14224 divided by 3794?\nAnswer: 1016\/271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*l**2 - 3*l**2 - 7 - 44*l + 45*l + 2 to the form r + a*l + j*l**2 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {m: 1, l: 1, e: 2, f: 1, d: 2, t: 1}. What is prob of picking 1 m and 2 d?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 1178634479 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-864)\/(-3) - (1 - 0). Let s = -167 + u. Suppose s = 4*w + 4*l, 3*w + 5*l - 46 = 36. Is 17 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -12590430 divided by -345.\nAnswer: 36494","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = j**3 - 15*j**2 + 15*j - 2. Let q be a(14). Suppose -103 = -16*n + 25. What is the highest common factor of n and q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = -11*x**2 + 416*x - 417. What is b(37)?\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -37992*l**4 + 635*l**2 - 2*l - 11 wrt l?\nAnswer: -911808*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 28791985?\nAnswer: 5, 53, 108649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify f**(-4\/5)\/f**4*(f*(f**(-4\/7)\/f)\/f*f)\/(f**(3\/5)\/f) assuming f is positive.\nAnswer: f**(-174\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:07 PM and 9:53 PM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-3)\/15)\/((-1)\/3). Let i = 9.9 - 10. What is the closest to i in -0.2, 0.5, s?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 85*v - 191*v + 104*v.\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: (2 - ((-1 - 2) + 3)) + -6\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p + 4 = 5*p. Let z = 11 + -3. Let j = z - 3. Which is the closest to p?  (a) -0.4  (b) 0.3  (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q = 2*h - 5*h + 268, 3*q = 6. Suppose 5*w - 5*n - 215 = 0, 4*n - n - 141 = -3*w. Calculate the remainder when h is divided by w.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y\/y**0)**(-8\/9))**41\/((y*(y\/(y*y*((y\/(y**0\/y))\/y)\/y*y*y))\/y*y)**(-3\/19)*y**(-2\/9)\/(y*y*y**(2\/15))) assuming y is positive.\nAnswer: y**(-29416\/855)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*w + 2*m + 8, -13 = -5*w + 5*m + 2. Suppose 12 = -r - r. Sort w, r, -4 in decreasing order.\nAnswer: w, -4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f*f**(-2\/13)*f)\/(f**6*f))\/((f\/(f\/(f\/(f\/(f*f**(-1\/5)*f)*f)*f)))\/f*f\/f**(-4)*f*f*f) assuming f is positive.\nAnswer: f**(-907\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 141100434?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -4 + 2aae?\nAnswer: 2aaa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: af76 (base 16) to base 13\nAnswer: 175a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"}
{"text":"Question: Solve -4261*s + 4453*s - 3109 = 731 for s.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 2  (b) -625  (c) -0.5  (d) -0.1  (e) 1882\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -4, 50, 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 22\/33 - 346\/240. Let m = 11\/8 + c. Let -m - 12\/5*t - 12\/5*t**3 - 3\/5*t**4 - 18\/5*t**2 = 0. What is t?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = 2*m + 11. Let h(z) = z + 6. Let p(w) = 4*w - 1. Let j be p(-5). Let n be j\/(-3) + -2 - 2. Let y be 1*n\/3*11. What is y*h(q) - 6*g(q)?\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in 1.3, 122\/3, 86?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 16793019 >= 16793025?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 17 - 3 - 4 - 10 - 5*i.\nAnswer: -5*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -39 + 49. Suppose -4*u = 3*a - r, -a = -3*a + 4. Let q be 1\/((u - 3)\/12). Which is smaller: -5 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -144 = w - 128. Let s be 20\/56*w\/20. Which is the nearest to s?  (a) -0.5  (b) 0.5  (c) 0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -48 = -2*z - 50 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -58\/5 + 121\/10. What is the third biggest value in 0.2, -11.3, h?\nAnswer: -11.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (-9)\/(-21) - (-16980)\/63*(-6258)\/(-28)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -ab867 (base 15) in base 4?\nAnswer: -2011013320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) be the second derivative of o**3\/6 - 11*o**2\/2 + o. Let g = 4080 - 4075. Give a(g).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 60 and 7360.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = 12*f + 15*f - 28*f. Let o(g) = -4*g. What is s(o(i))?\nAnswer: 4*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 5 - 4.94. Put 1, 5, f in descending order.\nAnswer: 5, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11 less than 2329?\nAnswer: 2318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or 245\/7466?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000027175 rounded to seven dps?\nAnswer: -0.0000272","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 10.6 + -9.2. Which is smaller: -7 or j?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = 5*f**6 - 11*f**3 + 181*f**2 - 11. Let b(c) = -c**6 + 2*c**3 - 36*c**2 + 2. Let t(v) = 2*a(v) + 11*b(v). Find the third derivative of t(y) wrt y.\nAnswer: -120*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (1\/(30\/516))\/(4\/10) is divided by 2*-5*(-6)\/4.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 289570*u - 136948*u + 274655*u.\nAnswer: 427277*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1343401 (base 5) to base 4.\nAnswer: -12311020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = 516825*i. Let v(f) = -23*f**2. Determine v(h(o)).\nAnswer: -6143485854375*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) be the third derivative of -m**5\/90 + 2*m**4\/9 - 16*m**3\/9 + 3*m**2. Factor a(l).\nAnswer: -2*(l - 4)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 226 - 129. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2*l + 2*l - 4*l**3)*(11210 - 280*l - 11210) to r*l**2 + p*l**4 + d + h*l + i*l**3 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (14 - -2)\/(-4) + 7. What is the first derivative of 19 + n*z**4 - 4*z**4 + 7*z**4 wrt z?\nAnswer: 24*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r**2\/5 + 7269*r\/5 - 265572\/5 = 0. What is r?\nAnswer: -2459, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -473 - 465 + 938 - z - 99*z to u + n*z and give n.\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 5, -1, 7, 4 in increasing order.\nAnswer: -1, 0, 4, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1269, 1301, 1335, 1371, 1409, 1449?\nAnswer: 1491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 58 and 12.\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 104 + -105. Calculate the common denominator of -75\/8 and 1*((-210)\/402)\/b.\nAnswer: 536","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-138)\/(-30) + 2\/5. Let l(j) = 6*j**2 - 11*j - 3. Is l(h) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 697390 to the nearest one thousand.\nAnswer: 697000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -194958.9 - 107601?\nAnswer: -302559.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = 5*c**2 + 73378*c. Let u(w) = -w. Give p(u(f)).\nAnswer: 5*f**2 - 73378*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 99572 and 220.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 94135 and 2680.\nAnswer: 335","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from qgggqgggggqggg. What is prob of sequence qgg?\nAnswer: 55\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 423 take away 26.741559?\nAnswer: 396.258441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 45 = 14*l + 3. Let p(v) = -v + 7. What is p(l)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = 26*v + 219. Determine t(-13).\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {n: 1, t: 1, r: 1, q: 4, b: 6}. What is prob of sequence rtbq?\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -11 (base 16) in base 10?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: (-3)\/(-6)*(-1)\/2\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -36.2 - -36. Let k = 0.6 + -5.6. Suppose z = -y + 4*z + 4, -4*y - 4*z = 16. Which is the nearest to y?  (a) -2  (b) k  (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-13*w + 6*w - 5*w)*(-2*w + 3 - 3)*(2*w + 0 - 4*w + 6).\nAnswer: -48*w**3 + 144*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 2580\/4300*(-240)\/9?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:41 PM and 12:52 AM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = -3337*r. Let g(y) = -2*y + 64. Calculate s(g(l)).\nAnswer: 6674*l - 213568","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from eeeeeeeee. What is prob of sequence eeee?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25*w + 39 = z - 28*w, -5*w + 71 = 4*z. Calculate the remainder when z is divided by (-4)\/18 - ((-58)\/18 - 5).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1010366, -1010368, -1010370, -1010372, -1010374, -1010376?\nAnswer: -1010378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -38451 - -54883. What are the prime factors of a?\nAnswer: 2, 13, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 3914 or 3643?\nAnswer: 3914","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = 2*t**2 + 151*t - 778. Give u(5).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from uiiiiibniinbbnxsui. What is prob of sequence bn?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 57953, 115907, 173861, 231815?\nAnswer: 289769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 823450096?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -315601, -631195, -946789?\n\"Answer: -315594*f - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = -124*l**2 - 368*l + 23. Calculate z(-3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y - 2*y - 12 = 0. What is the second smallest value in y, -1, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -a**3 - 12*a + 0*a + 6*a**2 - 24 + 4*a**3.\nAnswer: 3*(a - 2)*(a + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5010491 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-24)\/9*((-414)\/(-168))\/23.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = u**3 - 17*u**2 + 60*u + 11. What is b(3)?\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ssssssssnsxxsxssssss. What is prob of picking 3 s?\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 127 minutes after 8:33 AM?\nAnswer: 10:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k**2 + 1993306*k + 1993308 = 0. Calculate k.\nAnswer: -1, 996654","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 3121158 to the power of 1\/5, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from yyyyggxyyyiywi. Give prob of sequence wi.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = 5*x - 20. Determine m(-15).\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -14?  (a) -0.15  (b) 8  (c) 5\/4  (d) -0.07  (e) -2\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d - 10*d - 77 = 0. Let x be 4 + d + (-4 - -9). What is the biggest value in -0.1, x, 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-14)\/(-49))\/(15\/21). Which is the closest to s?  (a) 2\/5  (b) 3  (c) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -18099278982077\/11349 - -1594790642. Let m be (1 - 2) + 5232\/5238. Let t = h + m. Are 0 and t nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*s - 2*s - 5*d + 46, -5*d = -4*s + 62. Suppose -11 = -2*z + 5*j, -2*j - 62 = -2409*z + 2405*z. What is the least common multiple of s and z?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 13769259 to the nearest integer?\nAnswer: 3711","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Work out -247 * -0.018.\nAnswer: 4.446","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = -12*f - 1. Suppose 5*n = 0, -2*n = 4*l - 0*n - 8. Let g be (2 + 1)\/(-12)*-4. Let q be l + g + -3 - 1. Determine c(q).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 1398 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 603091 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 21.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 883*u**2*w**3 - 2*u*w**3 - 21*u*w**2 - 5*w**3 wrt u?\nAnswer: 1766*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s = -y + 3 - 1, 4*s + 5*y - 29 = 0. Suppose -5*c + 0*v = -v + 7, 5*v + 7 = 4*c. Let p = c + s. Are -0.2 and p nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 14 + -767163838.69.\nAnswer: -767163824.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 40 + -24. Let x = c - 14. Let y be (5 - 3) + -1 + x. Solve -y + 23 = -5*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -43800 + 5769 = -3*g. Suppose 0 = 17*t - 67580 - g. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 502952.\nAnswer: 2, 62869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 499006?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (0 + -3)*1\/3. Let u = k - -1. Let s = 8.7 - 9.1. What is the nearest to -1 in u, s, -5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 29*p - 25*p - 644. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 285976947?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 9012 - 9012.1. Sort 1, 23, k, -0.3, 1\/3 in descending order.\nAnswer: 23, 1, 1\/3, k, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = -12*s - 9*s**2 - 8*s**2 + 0*s + 15*s**2 - 6. Let a be o(-6). Let u = a - -14. Solve -4*x - 5*z = 40, -3*x = -u*x + 4*z - 9 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -2655925\/267828 + -3\/22319. What is the common denominator of 3 - (-1 - (-206)\/60) and q?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*b - 3*b = 5*h - 531, 3*h = 4*b + 336. Does 6 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4689*l + 3*l**2 - 32*l**2 + 8*l**2 + 22*l**2.\nAnswer: l**2 - 4689*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, -0.3, -2\/59 in increasing order.\nAnswer: -1, -0.3, -2\/59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -7334 divided by -352\nAnswer: 3667\/176","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -632 - -632. Let n = 35.3 + -29.3. Which is the third smallest value?  (a) f  (b) n  (c) 2\/19  (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -5 from -78160.\nAnswer: -78155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -143, -131, -133, -155, -203, -283, -401, -563?\nAnswer: -775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-6 - -5) + (3 - 0).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 11\/360 and -157\/510.\nAnswer: 6120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 1224029 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.6 + 0.9. Let l = 0 - 0.3. Which is the smallest value?  (a) l  (b) -3  (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.7 + 2.7. Is m <= -53?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2 - 2 + 6)*(2*o**2 - 2*o**2 - 2*o**2) + 7*o**2 - 5*o**2 - 7*o**2 + 16*o - 16*o - 3*o**2 to the form g*o + f*o**2 + x and give f.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -11 - 3 - (0 - (-1 - (5 - -1))).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = 5*u. Let j(v) = 6*v. Let a(g) = -5*j(g) + 5*q(g). Let l be a(-6). What is the highest common divisor of l and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t*t**2)**(-2\/131))**(-1\/57) assuming t is positive.\nAnswer: t**(2\/2489)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c + 0 + 3 = 0. Let s = 2 - c. Suppose -m = -s*m + 46. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -435 = -3*m + x - 428, 0 = 4*m + 2063*x + 14441 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y - 4*r - 4 = 2, 3*y = 3*r + 6. Let q be 40\/(-80)*(-5 - (-6 + 5)). Sort -6, 5, y, q in ascending order.\nAnswer: -6, y, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 17 a factor of 3097?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 452*h**2 + 12*h + 50*h**2 - 1 - 15*h + 0*h - 28*h**2 to v*h**2 + y*h + l and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*v**2 - 3 + 3 + (45*v - 115*v + 23*v + (-26*v + 13*v + 16*v)*(3 - 4 - 1))*(-5*v + 2*v + 5*v).\nAnswer: -108*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -28*c - 13*c + 3132 = -5*c for c.\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -58 or 313?\nAnswer: 313","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 24 - w + 7*w - 378 - 7*w - 4*w + w**2 to the form h*w**2 + t*w + f and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.3337 - -0.35. What is i rounded to three decimal places?\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = 9*f - 1 + 6 - 5*f + 2. Give z(-5).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 1719*-4*(-20)\/(-630)*21. Is k greater than or equal to -4585?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 53 + 1 = 3*b. What is the remainder when 51 is divided by b?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 64\/12*9\/12. Which is the third biggest value?  (a) 5  (b) 13  (c) p  (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t + i = 2, 5*t - 894*i - 18 = -896*i. Let z = 2 - 1. Let y = z - -1. Solve 4 + y = -t*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 32, 84, 132, 176, 216, 252, 284?\nAnswer: 312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -60 + 42. Let n be y\/(-2) - (-12)\/(-6). Solve -3*c + n*c = 12 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -52564*w**2 + 26285*w**2 + 26281*w**2.\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 73 + -72 - (-2 - -1 - -4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3350?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n - 16 = -20. Let t be (-2)\/8 - (-68)\/16. Suppose 0 = -5*c + n*i - 3*i + 818, t*i + 803 = 5*c. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f = -2*f - 5*o - 32, 3*f - 4*o = 140. Let a = -52 + f. Solve 2*q - k + 2 = -3, a = 2*k - 6 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 949 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = l - 8. Let i be j(5). Let r = i - 2. Let u = -9\/20 - -1\/4. Which is the closest to -1\/5?  (a) 0.5  (b) r  (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*j + 32436 = -2*n + 32408, -5*n = -2*j + 12 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Add together 16 and -1842067861.\nAnswer: -1842067845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:21 PM and 2:37 AM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-217580)\/3542)\/((-10)\/14).\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 1 * 0.242780657\nAnswer: 0.242780657","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = 2*k**2 - 32*k + 22. Let i be u(15). Suppose 5*l - 207 + 27 = 0. What is the remainder when l is divided by 4*(-2 - 42\/i)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 923, 1797, 2671, 3545, 4419, 5293?\nAnswer: 6167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -0.1 or 1633?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 36 and 28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 90 a factor of 564930?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 15*(-14)\/(-630)*-3*(-6)\/(-81)?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -973\/22 + 436\/11. Calculate the common denominator of z and (-154)\/(-20) - (-6 - -4).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 6*c**3 + 3*c**3 + c**3 + 6*c wrt c?\nAnswer: 60*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 79810 divided by -1735.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Divide -306 by -35292.\nAnswer: 3\/346","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (3 + 54\/4)*4. Suppose 0 = -4*p + p + j. List the prime factors of p.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -2 or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 2795347 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:08 AM and 11:45 AM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1.12 - 1.3. Let h = w + 0.1800038. Round h to six dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 179584?\nAnswer: 2, 23, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/3?  (a) -0.08  (b) 130887  (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand s**5 + 0*s**3 + 0*s**3 + (0*s**4 - s**4 + 3*s**4)*(-1 + 1 - 2*s) - 4*s**4 + 2*s**5 + 4*s**4 + 9*s**4 - 7*s**5 - 8*s**4 - 6*s**5.\nAnswer: -14*s**5 + s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b\/(b\/(b**2\/b)*b)*b\/(((b**6\/b)\/b)\/b))**(-4\/5))**45 assuming b is positive.\nAnswer: b**72","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from babaaa. What is prob of picking 2 b and 2 a?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -123332 + -30200?\nAnswer: -204032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 + 1 = 5*u. Suppose -3*t - 3*j = -2*j - 3, u = t - 5*j. Solve 0 = -2*o + 3*x - t + 5, -o - 2*x + 9 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 65\/84 and -173\/126.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -315 - -453. Suppose 0 = f - 3*u - d, 2*f - 284 = -0*f - 2*u. List the prime factors of (-2 - 0 - -2) + f.\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 112 and 480539248.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -4, 0.42, 814, 0.178?\nAnswer: 0.42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 8205432 is divided by 667?\nAnswer: 665","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j**0\/j*j)\/j*j\/(j*j**(-1\/3)*j))**(4\/25) assuming j is positive.\nAnswer: j**(-4\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 w, 1 y, and 1 o when three letters picked without replacement from {w: 2, t: 2, l: 1, o: 2, y: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(288) + 0 + sqrt(288) + 0)**2.\nAnswer: 1152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -51469*t**4*v + t*v - 184394*v wrt t.\nAnswer: -205876*t**3*v + v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 325 and 901975.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((5*(sqrt(448) + (1 + sqrt(448) - sqrt(448))) + sqrt(448) + ((-2*sqrt(448) + sqrt(448))*-4 - sqrt(448)))*3 + -5)**2.\nAnswer: 4320*sqrt(7) + 326692","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 737*k - 13*k**2 - 290*k - 215*k - 153*k.\nAnswer: -13*k**2 + 79*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 410929 and 65?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a + 3754 = -2*a - 2*d, -a - 5*d = -1889. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -18.66 * -413\nAnswer: 7706.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -14, 1, 41?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 128300000 rounded to the nearest 1000000?\nAnswer: 128000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-6*(-6)\/(-540)*3)\/((7176\/(-80))\/(-13))?\nAnswer: -2\/69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 581 minutes before 9:59 PM?\nAnswer: 12:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = -o**2 + 4*o - 1. Let z(w) = -w + 1. Give -y(h) - z(h).\nAnswer: h**2 - 3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15*i = -109 + 49 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -9464 divided by -5\nAnswer: 9464\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = -c**3 + 6*c**2 + 18*c + 23. Calculate r(9).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 a factor of 386127?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express 8*i**2 - 2*i**2 + 3*i**2 - 7*i**2 - 44*i as q + t*i + m*i**2 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 24*((-1079)\/156 + 7). Put 0, -5, 101, q in decreasing order.\nAnswer: 101, q, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7992.\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = -40*w + 86. Let h be i(13). Let o = h - -902. Calculate the greatest common divisor of o and 39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -36*i + 25*i - 8*i**3 + 21*i.\nAnswer: -8*i**3 + 10*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -12330 + 2131?\nAnswer: -10133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*m + 4*x + 29 - 6, 3*x + 6 = 0. Let q be (((-840)\/(-228))\/(-35))\/(40\/(-38)). Which is the fourth biggest value?  (a) 0.4  (b) m  (c) q  (d) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = -2*c**3 - c + 3. Determine m(-3).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = -66 + 32*i**2 + 9*i**3 - 10*i**3 + 0*i**3 - 38*i. Is h(29) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*i**2 + 46*i**4 + 4 - 44*i**4 + 3 + 10 to o*i**4 + f*i**3 + m*i + j*i**2 + x and give x.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 5102, 19927, 44630, 79217, 123694, 178067, 242342, 316525?\nAnswer: 400622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 0 - 4)*(1056 - 1046 + 44*y - 34*y).\nAnswer: -30*y - 30","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = -21*z - 84. Let i be a(-4). Solve i = 5*q - 12 - 13 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 310\/(-2) - (3 - 1). Let w = 1095\/7 + s. Is w greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 18 in 1, 247786\/3, -2, -0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = x**3 + x. Let p be k(-1). Let t(y) = -455*y**3 - 5*y + 7. Let m(u) = u**3 + u**2 - u + 1. Let f(r) = -4*m(r) + t(r). Is f(p) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.94 + 1.24. Let y = 1 + -0.9. What is the closest to y in -2, s, 2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 200 and 2975890?\nAnswer: 59517800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 4404 and 5\/(-1) + 117\/(-195)*570\/(-18).\nAnswer: 30828","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 336.4446g to tonnes.\nAnswer: 0.0003364446","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*p - 36 = 6*t, -80 = -5*p - 3*t - 8 for p.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 50538?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Add together -1388.9008 and -20910.6.\nAnswer: -22299.5008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = -d. Suppose -14 = -3*i - x, 4*i + 4*x = 3*x + 20. Let t be 15\/(-2) - 3\/i. Let n = 3 + t. What is s(n)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4578229?\nAnswer: 101, 45329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 426 + 3*h - 3*h**4 - 2*h**2 - 212 + 4*h**2 - 213 to c*h + d*h**3 + m*h**4 + g*h**2 + i and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) be the second derivative of w**8\/6720 + w**7\/420 - w**6\/144 + w**5\/60 - 11*w**4\/6 - 20*w. Let v(a) be the third derivative of i(a). Give v(-7).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 18 a factor of 6061?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -38419704, -38419697, -38419686, -38419671, -38419652?\n\"Answer: 2*g**2 + g - 38419707","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -71\/50 and 73\/32930.\nAnswer: 164650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (1\/(-2))\/(12\/(-72)). What is the second derivative of 13*g - 5*g**4 - 53*g**b + 8*g + 53*g**3 wrt g?\nAnswer: -60*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 490 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -9188678*p**4 + 8871924.\nAnswer: -36754712*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -11 divided by 56.\nAnswer: -11\/56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 424 and 18688.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 4258.12 in 1\/7, -3\/5, -12?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 44\/110 - 13343\/(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3\/9*((-56)\/(-34) + -2)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -53, -2, -4, -1, 7 in ascending order.\nAnswer: -53, -4, -2, -1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 220 and 1562.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 2003 - 1409. Suppose 198 - q = -12*f. Does 33 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*i = 2*i - 4. Let h(a) = 7 + 11 + a + 3*a - i*a. Let t be h(-9). Solve t*f = 3*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 13 - 1. Let i(d) = 2*d + 22. What are the prime factors of i(n)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(8) + 0)**2*2 + -3*sqrt(8)*2.\nAnswer: -12*sqrt(2) + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 64*b + 4569 = 2585 for b.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-37 + 3 + 44*u**2 - 51*u**2)*(-2 + 7 + 0)*(2*u + 2*u - 2*u)*(2 - 4 + 0).\nAnswer: 140*u**3 + 680*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o + 4*o + 3 = 0. Let l(b) = -30*b**o - 156*b + 0*b**3 - 5 + 153*b. What are the prime factors of l(-2)?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0 + 2. Let o be (-1)\/y*(2 + -2). Let g = -16 + 18. Are o and g unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -28152 = -2298*q - 5214 + 4638 for q.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**(-3\/10)*(u\/(u\/((u*u**(-2\/13))\/u)))\/u)\/((u\/(u\/((((u*u**(-1\/5))\/u)\/u)\/u)*u*u))\/(u**(2\/19)*u)) assuming u is positive.\nAnswer: u**(9513\/2470)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (30*j - 30*j - 9*j**3)*(2*j - 8*j - 57*j).\nAnswer: 567*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -26 + 34. Suppose -170 = -r*s + 3*s. Calculate the remainder when 65 is divided by s.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1\/809 + -1623\/4045. Sort -4, n, 0, 4.\nAnswer: -4, n, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 8132.\nAnswer: 2, 19, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 117 - 8714*l - 5597*l - 117.\nAnswer: -14311*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (12\/(-70))\/((-6)\/15)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -38?  (a) 4\/3  (b) 0  (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 - 150580.468.\nAnswer: -150579.468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 3\/(9\/10) - (-4)\/6. Is v at most 9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2251 to the power of 1\/2, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 divided by -24322?\nAnswer: 3\/24322","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = u - 38 + 27. Suppose 0 = u*p - 296 + 1022. Let g = 100 + p. Calculate the lowest common multiple of g and 6.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = -5*v + 15. Let p be 388\/(-3) + (-6)\/9. Let f be ((-4792)\/v)\/(52\/p). What is f rounded to the nearest one thousand?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1968 + 1970. Solve v - u*r = 2*r + 22, -2*v - 6 = 2*r for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -0.1  (b) -1\/3  (c) 76352\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -686, -683, -680, -677, -674, -671?\n\"Answer: 3*d - 689","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h = -h - 3*w + 102, 2*w = -2*h + 52. What is the lowest common multiple of (1909 + -1941)*(-1)\/2 and h?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 101 - 1034103?\nAnswer: -1034002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or 7\/43?\nAnswer: 7\/43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 4435219 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2)\/34*7*24\/1260*15.\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2418, 4828, 7232, 9630?\nAnswer: 12022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -2\/21, 3, 8148\/11, -2, 4?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 621901 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 10688223 a multiple of 357?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1148*a - 488*a + 663*a)*(6*a - 6*a - 2*a**2).\nAnswer: 1946*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = 2*u**3 - 498*u**2 - 523*u + 5751. Give w(250).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 77 is divided by (10\/(-4))\/((-2)\/32).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -5.96 and -0.27682.\nAnswer: 1.6498472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 13362034 to the power of 1\/3, to the nearest integer?\nAnswer: 237","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q - 3*q - 30 = 0. Let u = 2 + q. Let s = -2 - u. Is s even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -20 take away -12.253?\nAnswer: -7.747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 30 = -1111*w + 1107*w - 3*z, w - z - 4*z - 4 = 0 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 246900?\nAnswer: 2, 3, 5, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 144177 divided by 11?\nAnswer: 13107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 45662609 + 7648979. Let c = 53311528.000067 - w. Let h = 60 + c. Round h to five decimal places.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.7354?  (a) -1  (b) -7  (c) 54\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 0 + (6 - 3 - (1 - -7 - 11))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 113 and 1469.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 5803803 to the power of 1\/2, to the nearest integer?\nAnswer: 2409","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = u**2 + 34*u - 3. Let b(s) = -2*s**3 - 10*s**2 + 74*s + 21. Let i be b(-9). Let a(r) = -2*r**2 - 33*r + 4. Determine i*a(m) + 4*n(m).\nAnswer: -2*m**2 + 37*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 45 - 89 - 304*r**2 + 44.\nAnswer: -304*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*g - g - 5*k + 151, -3*k + 429 = -3*g. Let q = g + 561\/4. Suppose j + 3*j + 16 = 0. Which is the closest to j?  (a) 9  (b) 0.2  (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -6 - ((1 - 23) + (15 - 11))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is -11 + 14 - 11 - -17385 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 5, -1, 13, 1\/2?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = j**3 + 7*j**2 + 7*j + 8. Let b be c(-6). What is the third derivative of 6*p**2 + b*p**3 - 105 + 0*p**3 + 105 wrt p?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -113\/36 and 35\/3251776.\nAnswer: 29265984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*i - 10*i + 2*i)*(-1 - 2 + 1)*(-3 + 2 + 3) + (i + 2*i - 4*i)*(21 - 4 + 15) + (-2 + 4 - 3)*(2*i - i + 0*i).\nAnswer: -13*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 941?\nAnswer: 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 88578 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 67 = 6*p - 263. Let t be p\/15*-1 + 5\/3. Suppose 6 = u + 2. Put t, -5, u in descending order.\nAnswer: u, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 429\/2, 0.2, 0, 1\/8, 2\/7, 1\/2 in descending order.\nAnswer: 429\/2, 1\/2, 2\/7, 0.2, 1\/8, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a**(-2))**32\/((a**(-2\/7)*a)\/a*a)**(-3\/10))**(-46) assuming a is positive.\nAnswer: a**(20539\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of w**3 - 49*w + 24*w - 13*w**3 wrt w?\nAnswer: -72*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 23382613*w - 23382737*w = 2480 for w.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -4 + 5. Let v = 859\/35 + -122\/5. Let z be (-1 + 0)\/(5 + 36\/8). What is the fourth biggest value in 0.5, v, k, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = -3*b**2 + 15*b. Let s be z(2). What is the greatest common divisor of s and 144?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -34 + 63. Suppose -5*i + 2*i + 103 = z, -i = -z - y. Let d = i + -21. Is d a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 7 + -9. Let d be 3 - 3\/(-6)*0. Suppose 5*y - 7 = d. What is the nearest to 1 in y, u, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-2)\/(-2))\/((-45)\/(-10) - 5). Let n be (-570)\/(-210) + (-4)\/(-14). Sort -12, n, 2, x.\nAnswer: -12, x, 2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 2.89 + 2.11. Which is the nearest to q?  (a) -3  (b) 0  (c) 0.006\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) be the second derivative of 0*y**2 + 0 - 9*y - 1\/3*y**3. Let f(q) = -20*q**2. Determine f(h(n)).\nAnswer: -80*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 29867*d**3 + 114*d**2 - 29800*d**3 - 116*d**2.\nAnswer: 67*d**3 - 2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -943035, -943011, -942961, -942873, -942735?\n\"Answer: 2*w**3 + w**2 + 7*w - 943045","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = -t + 1. Let f = -1 - -5. Suppose f = 4*p - 0. Determine o(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*b - 6*b + 2*b**3 - 2 + 0*b - b to the form c + p*b**3 + a*b + o*b**2 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = 8*r. Let b(z) = 2*z - 5*z - 7*z - 5*z + 2*z. Calculate x(b(j)).\nAnswer: -104*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = 6*j**2 + j - 8. List the prime factors of n(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.007 at least as big as 0.17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, -3, -1, 54 in decreasing order.\nAnswer: 54, 4, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 83 + -81. What is the third derivative of -150*j**6 - 5*j**2 - 6*j**c + 171*j**6 wrt j?\nAnswer: 2520*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -105.666 - 4.334. Are -0.25 and y equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 74474.31kg in tonnes?\nAnswer: 74.47431","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.567208414 to four decimal places.\nAnswer: -0.5672","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) be the second derivative of 37*v**6\/60 - 13*v**3\/3 + 11*v**2\/2 - v + 4. Let y(f) be the first derivative of p(f). What is the derivative of y(m) wrt m?\nAnswer: 222*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -8, -31, -68, -119, -184, -263, -356?\nAnswer: -463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2181091?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*d**2 + 47*d - 86*d - 5*d**3 + 39*d + 1337.\nAnswer: -5*d**3 + 2*d**2 + 1337","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -x**2 + 31*x**2 - 2*x**3 - 4*x**2.\nAnswer: -2*x**3 + 26*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -18a99 (base 15) to base 3\nAnswer: -11001202200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -93*f**4 + 4 + 2*f - 3*f + f + 526*f**4 wrt f?\nAnswer: 1732*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -220 divided by 7.\nAnswer: -220\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = 5*r + 8. Calculate u(-6).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = 7*o + 5. Let j be (-2)\/(-7) - 282\/(-42). Let k(t) = 10*t + 7. Let a(q) = j*s(q) - 5*k(q). Let b(r) = -10*r**2. What is a(b(g))?\nAnswer: 10*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1294567 is divided by 7152?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -5.5 - -6.5. Let g = -0.28 - 3.72. What is the closest to -0.2 in j, g, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -83 + 208. Suppose 0 = -q*d + 119*d + 408. Calculate the greatest common factor of 170 and d.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (12\/14)\/((-560)\/245)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: (3\/(-2))\/((-9)\/(-24))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 13 + (-33 - (-1 - (2 - 10))).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -1220201 (base 3) to base 4\nAnswer: -111310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = -i**3 - 12*i**2 - 10*i + 2. Let o be t(-11). Let j = o + 77. What is the tens digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -62325 or -249299\/4?\nAnswer: -249299\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*s + 12 = p, 0 = -9*s + 4*s - 4*p + 33 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*i + 4 = i, 16 = -5*q - i for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence po when two letters picked without replacement from nnwojdpow.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 13\/390*10*30. Suppose 4*b + 2*f = 12, -5*f + k = 20. Let -3\/4*c**b - 1 + 7\/4*c**2 + 0*c + 1\/4*c**5 - 1\/4*c**3 = 0. What is c?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-32)\/(-14) + (-4)\/2 + (-13802)\/(-938)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 17 at least as big as 15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2892988215 divided by -3.\nAnswer: -964329405","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5949435684?\nAnswer: 2, 3, 83, 5973329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 69973 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) be the first derivative of -8*i**3\/3 + 4*i**2 + 9*i - 5. Let l(v) = -v**2 + v + 1. Determine -18*l(d) + 2*t(d).\nAnswer: 2*d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -562 divided by -73.\nAnswer: 562\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, -294, 222, -8, 3, 0 in descending order.\nAnswer: 222, 5, 3, 0, -8, -294","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = -g**2. Let f(y) = -187652028*y**2. Calculate b(f(v)).\nAnswer: -35213283612512784*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1184705?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*i + 282 + 42 = 0. Find the first derivative of -i*b**4 - 88 + 258 - 99 wrt b.\nAnswer: -108*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -220 + 219.734. Let q = -0.086 - p. What is q rounded to two decimal places?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = -j - 8*j - j**2 + 2*j**2 - j**3 - 5 - 10*j**2. Let y be k(-8). Suppose -q - y*q = -68. 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 z(l) = l + 10. Let w(p) = -7*p**2. Let q be w(1). Let h be z(q). Suppose 2 = -y - 4*d - 4, -2*d = 4. Solve 0 = -3*b + 9, -h*n - y*b = -17 - 1 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 339 + 509. Does 9 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 + 8 = 5*k - x, 0 = k - 3*x + 11. Suppose 3*s - 24 = -k*i, 4*s - 2*i = i + 7. What is the second derivative of -3*d**2 - 2*d + 4*d + s*d**2 wrt d?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*f - 6*f = -9422. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 1687*y**2 + 35*y - 845*y**2 - 844*y**2 - 375*y + 3*y**3 wrt y?\nAnswer: 18*y - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) be the first derivative of -3*h**4\/4 + 28*h + 45. What is the derivative of a(q) wrt q?\nAnswer: -9*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -25\/4, -0.4, 15, 2\/609 in increasing order.\nAnswer: -25\/4, -0.4, 2\/609, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 15428.\nAnswer: 2, 7, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 104 + -92.2. Let u = 10.8 - j. Let p = 23.87 + -24. Is u smaller than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-24)\/(-7)*(-28)\/(-8). Suppose 5*q - 60 = -4*v, 2*q + 2*v = q + x. What is the remainder when 69 is divided by q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -4448 - -4451. What is the remainder when (-13 + -2)*(-24)\/10 is divided by a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 691333?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s*((s**(-1\/4)*s)\/s)\/s*s)**3\/(s**(-8)*s*s**(1\/13)) assuming s is positive.\nAnswer: s**(477\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-1)\/(2\/((-4)\/(-2))). Let y = 2 - 4. Sort o, 2, y.\nAnswer: y, o, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 45 + -22. Let d = m + -74. Let o = -54 - d. What is the second smallest value in -1\/4, o, -4, 0.3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-3)\/(1 + (-124)\/120).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 3\/12 + (-45)\/(-12). Solve x*n - 15 + 3 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-26)\/(-20) + (156\/(-20) - -8)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -282.51 + 283.51. What is the nearest to -1 in 2\/9, -2, l, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c - 37 - 327 = -4*t, -3*c = 4*t - 220. What are the prime factors of c?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = -p**3 + 10*p**2 - 18*p + 10. Give a(8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -53 - -32e73?\nAnswer: 32e20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert 23c8c (base 13) to base 8.\nAnswer: 200501","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(132)\/sqrt(12) + 1*sqrt(396))\/(3*(sqrt(4) - 2*-1*sqrt(4))).\nAnswer: 7*sqrt(11)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand 32*f**3 - 20*f**3 - 15*f**3 + 0*f**3 - f**3 + 0*f**3 + (1 - 2*f - 1)*(2 - 2 + 2*f**2).\nAnswer: -8*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, -6, -3, 9 in ascending order.\nAnswer: -6, -4, -3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f\/(f\/f**(-2)))\/f**(1\/4))**(-1\/6) assuming f is positive.\nAnswer: f**(3\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -233023 + 11?\nAnswer: -233012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 302 minutes after 3:48 AM?\nAnswer: 8:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 28206\/784403 + 44155687337\/18736250058. Let y = n - 5\/1327. Find the common denominator of y and (5\/330)\/(3\/261).\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 12*u**2 + 7*u**2 + 10*u**2 - 1 - 33*u**2 - 2*u in the form i + z*u + v*u**2 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -50, -598, -2062, -4898, -9562, -16510, -26198, -39082?\n\"Answer: -76*f**3 - 2*f**2 - 10*f + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = -17*y**2 + 7*y - 10. Let h be c(6). What is h rounded to the nearest one hundred?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 66 and 118623538.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 41 and 10?\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*o = 25*o + 196 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 149*k - 170*k + 63 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 28\/98 - 1068\/(-84). Solve -25 = -n*w + 8*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = 2*f**2 - 101*f + 87. Let r(d) = -5*d**2 + 305*d - 260. Let v(h) = 3*r(h) + 10*w(h). Determine q, given that v(q) = 0.\nAnswer: 1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 5 + (30\/25 - (-33)\/(-15)). Sort 267, 2, 5, d in ascending order.\nAnswer: 2, d, 5, 267","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 87 divide 9784034?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = -4*u**2 + 13*u + 6. Let r(j) = 3*j**2 - 12*j - 5. Let b(d) = -5*f(d) - 6*r(d). Let g be b(-5). Is -2 + g + 0 - 0 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*a = 7*a - 4, -3*z = 3*a - 3387. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 215684242 to the power of 1\/3, to the nearest integer?\nAnswer: 600","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 617 + -616.93. What is the nearest to -0.6 in b, -4, 1\/3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -25\/1472 and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*o = 3*f + 4, -55*f = 4*o - 51*f for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 740525457?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify r**(-2\/7)*r**(-10\/11) assuming r is positive.\nAnswer: r**(-92\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2*-840827.4.\nAnswer: -1681654.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 100 = 4*f - 5*g, 5*f = -0*f - 3*g + 125. Let r be (-3 + 2)\/((-1)\/1375). Suppose -3*n - 2*n = -r. What is the greatest common factor of n and f?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-432)\/(-66) - ((-2)\/(-11) - (-332)\/913). Solve n + 10 = -4*v + s*n, -v = -n + 2 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = a**3 - 3*a**2 + 4. Suppose 0 = 2*f - 6*f + 40. Suppose -4*g + 2*r + 1 = -5*g, -r + f = 4*g. What is the units digit of c(g)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = -20*m + 7. Suppose p - 2*a + 4*a - 3 = 0, -p + 3*a - 22 = 0. Let y be d(p). Let v = y - 66. Calculate the greatest common divisor of v and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:19 AM and 11:26 AM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = -q**2 + 1. Let i(w) = -5*w**2 - 7*w - 2. Let g(s) = i(s) - 6*t(s). What is g(8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 26695549 to the power of 1\/2, to the nearest integer?\nAnswer: 5167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -54 + 63. Differentiate -28*k**2 - 43 + 26 - o with respect to k.\nAnswer: -56*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-541*d**3 + 820*d**3 + 222*d**3)*(68*d - 25*d**2 - 68*d).\nAnswer: -12525*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1673629*t**2 - 1673565*t**2 + 3347165*t**2.\nAnswer: -29*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = -20*u**3 + 20*u**3 - 11*u**5 + 10*u**5. Let a(j) = 12*j**5 + 2*j. Let f(n) = a(n) - 3*g(n). Find the second derivative of f(m) wrt m.\nAnswer: 300*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1335.\nAnswer: 3, 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-177 - 0)*(85 - -2). Let p = -7601 + w. What is p rounded to the nearest 10000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-5*w + 0*w + w)*(-1201 - 135 - 32) to d*w + p and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 3 (base 7) to base 15\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 28667 divided by -159\nAnswer: -28667\/159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 24\/(-15)*(-3)\/2*87\/(-6). Is c greater than or equal to -35?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j = 131 + 94. Let m = -3 + j. Suppose 4*y - m = 74. Solve 5*i = -3*d - y, 5*i + 4*d = -11 - 21 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 429 minutes before 2:32 AM?\nAnswer: 7:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 55 and 42053.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 41.549 - -0.451. Let s = -42.29 + d. Sort 0, 0.5, s, -3 in decreasing order.\nAnswer: 0.5, 0, s, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -5.28 - -8.89. Let d = c - 3.6. What is the closest to 2 in d, 0.2, -3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 45*u - 11988 + 1908 = 0. Calculate the remainder when u is divided by 27.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12765 = 10833587*x - 10833472*x for x.\nAnswer: -111","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 26*b**5 - 216*b**4 + 35535*b wrt b.\nAnswer: 520*b**3 - 2592*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0.1  (b) -12\/17  (c) -2  (d) -3\/24286\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -6*y + 10*y + a - 7, -2*y - 5*a + 17 = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = -12*g**2. Let x(u) = 24624074*u. What is a(x(b))?\nAnswer: -7276140244289712*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -16 - -18. Suppose -34 = -o*k + 56. Suppose 1145 = y + k. Round y to the nearest one hundred.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 842819 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from vwwvrvvrvr.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*d - 144 = -13*c - 68 + 35 + 153, -d - 57 = -c for d.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 148*z = 164*z - 214848. What are the prime factors of z?\nAnswer: 2, 3, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = -s**2 + 23*s + 3040. What is r(-45)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 2, m: 9}. What is prob of sequence mm?\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1270 is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 22 a factor of 215?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = -2*q**3 - 7*q**2 - 4*q + 3. Suppose -3*o - 5*n - 17 = 5, -2*n = o + 8. Does 5 divide m(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1686081 is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1 - -4. Find the third derivative of 0*o**2 - u*o**5 - o**2 + 3*o**2 wrt o.\nAnswer: -180*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 147753071 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*b - 136 = -x, -b = -3*x + 8*x - 53. Suppose 9 = -4*a + b. Calculate the least common multiple of a and 20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 9*a**2*b*f*p**2 - a**2*b*p + 62*a**2*f + 1586*a*b*f*p**2 - a*b*f*p - 23*b*f*p + 3*b*p - b wrt p?\nAnswer: 18*a**2*b*f + 3172*a*b*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -6211262*t**5 - 15*t**4 + 35355*t**2 - 358*t wrt t?\nAnswer: -372675720*t**2 - 360*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1040 divided by -8.\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-28 + 19 - 16 - d)*(-4*d**3 + d**3 - d**3) - d**4 + 3*d**4 + 0*d**4 + (2 + 2*d - 2)*(-d**3 - 3*d**3 + 2*d**3).\nAnswer: 2*d**4 + 100*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**(-3\/4)\/(i*i**(-2\/3)\/i))\/(i**(-4)*i\/(i*i\/(i**24*i)*i)) assuming i is positive.\nAnswer: i**(-229\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -17\/8437110 and 23\/8437110.\nAnswer: 8437110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is -2\/15 less than or equal to -310?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*l = -n + 6*n + 21, 3*l = -8125*n + 8124*n - 2 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Work out 5589843 - 0.98.\nAnswer: 5589842.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*n = y - 18, 3*y + 5287 = n + 5276 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 45438 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 11.7 - 11.70122. Round s to three dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 - 7 = 3*j. Which is the nearest to j?  (a) 0.3  (b) -4  (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:44 AM and 5:11 PM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -278*a - 83*a + 2 - 54*a + 24*a + 10*a to the form l + j*a and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -474, -484, -508, -552, -622?\n\"Answer: -n**3 - n**2 - 472","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*r**3\/7 - 576*r**2\/7 - 1160*r\/7 = 0.\nAnswer: -2, 0, 290","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express (-q + 0*q + 0*q)*(-27*q - 24*q + 33*q) in the form k*q**2 + o*q + b and give k.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 16 and 1024?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = -7*l**2 + 10*l + 5. Let d(w) = -16*w**2 + 20*w + 11. Let x(a) = -3*d(a) + 7*g(a). What is x(9)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -4866*u**2 + 398*u**2 + u**4 - 3269*u**2 - 5*u**5 + u**6 + 357*u**2 wrt u?\nAnswer: 120*u**3 - 300*u**2 + 24*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -28 + 4 + 27*x**2 - 38*x**2 + 24*x**2 + 27.\nAnswer: 13*x**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 333*f - 336*f + 3*r = -52041, -3*r = 9. What are the prime factors of f?\nAnswer: 2, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-55)\/(-11)*-3*(-8)\/140?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(22)\/(sqrt(396) - 2*sqrt(396)).\nAnswer: -sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = 66*c + 2183. What is a(-34)?\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) be the first derivative of -2*c**2 + c + 4. Let x be u(-1). Solve 1 + 4 = -x*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*((4*sqrt(228)*2)\/((sqrt(600) + sqrt(24))\/sqrt(2))*-6)**2.\nAnswer: -7296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 0, 1132, -2501, 3 in decreasing order.\nAnswer: 1132, 3, 0, -5, -2501","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from gdgggdgdggggggg. Give prob of sequence dg.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.309 + -26.909. Let j = 0.67 - 10.57. Let v = j - m. What is v rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((l + 2*l - 5*l)*(1 + 0 + 2) + (0 + 1 + 2)*(-1 - 3*l + 1) - 9*l - 67*l - 51*l)*(-6*l**2 + 0*l**2 + 4*l**2).\nAnswer: 284*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j - 1 = -4. Suppose 4*q - 10 = -5*b, -j*q - q - 8 = -4*b. Calculate the lowest common multiple of 4 and b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine w, given that 8\/3*w - 8\/3*w**2 - 14\/3*w**3 + 0 + 2*w**5 + 8\/3*w**4 = 0.\nAnswer: -2, -1, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4255657.\nAnswer: 7, 607951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = -o**3 + 14*o**2 + 516*o - 124. Calculate q(-17).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.081 in -1, 4, -9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 5446, 0.1, 0 in increasing order.\nAnswer: -5, 0, 0.1, 5446","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express (0*c + 6*c - 5*c)*(77 - 37 + 146)*(-1 - 5 + 4)*(1 - 2 + 0) in the form z + b*c and give b.\nAnswer: 372","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.14874223 and 2.\nAnswer: 0.29748446","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = 358*w**3 + 2*w - 1. Is r(1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -2 - 4. Let l be n\/(-27) + 6\/(-27). Suppose l = -6*t + 10*t - 44. List the prime factors of t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = 2*x**2. Let t(m) = 8914*m - 17 - 17909*m + 8944*m - 4. Determine t(g(w)).\nAnswer: -102*w**2 - 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a = -0*l - 4*l + 6, 2*l - 2*a = 10. Let i be (-1)\/(2*(-1)\/8). Suppose i*f - l*f = 2. Solve 5*t - 10 = 4*b + 14, 5*b = f*t - 13 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1692922870?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6395*s = 6404*s - 18. Suppose -3*h + 32 = -5*n, 2*h - 28 = 3*n - 8. Put n, s, 167 in decreasing order.\nAnswer: 167, s, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -1 + -2001001011?\nAnswer: -2001001012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 346, -4, -0.05?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-r**2 - 2 + 2)*(3*r + 2*r - 4*r)*(-2 - 5 + 0).\nAnswer: 7*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -425899 + -1100?\nAnswer: -426999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: ((-162319)\/(-82))\/107*(-6)\/(-15)*5\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 1736959 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 18 - 255\nAnswer: -237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.071 - -0.215. Let k = m + 140.714. Let y = k - 140.99941. What is y rounded to 4 dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 539 is divided by 144.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pwz when three letters picked without replacement from {u: 3, w: 4, p: 2, z: 2}.\nAnswer: 8\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 21, 21, -13, -99, -255, -499?\n\"Answer: -3*a**3 + a**2 + 18*a + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -441.1 - -438.1. Let q = 0.23 + -9.23. Put 1, q, n in ascending order.\nAnswer: q, n, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = -41*n**2 - 74*n - 2. Let l(q) = 81*q**2 - 3 + 69*q + 80*q + 1 + 7. Let w(v) = -5*b(v) - 2*l(v). What is the second derivative of w(g) wrt g?\nAnswer: 86","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -181 in -1\/5, 0.4, 2\/605?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in -0.2, -28\/69, -2, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify d**(-5\/4)\/d**26 assuming d is positive.\nAnswer: d**(-109\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 16544 is divided by 4122?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 55a4c (base 13) to base 5\nAnswer: 14434134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 182 and 6?\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l**4\/3 - 640*l**3\/3 + 2512*l**2\/3 - 832*l = 0. Calculate l.\nAnswer: 0, 2, 156","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = 4*x. Let o(a) = -3*a + 3*a + 5*a - 2*a. Suppose 3 = 3*h + 18. Give h*p(v) + 6*o(v).\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sum 151 and -0.323.\nAnswer: 150.677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -103392196*t - 126922893 wrt t?\nAnswer: -103392196","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2?  (a) 0  (b) 3  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 347 and 4511?\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -3 + -3 + 6 - -2\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1914097 is divided by 323?\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.05*14613780.\nAnswer: 730689","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*x**3 + 1136*x**2 - 12716*x - 92480 = 0.\nAnswer: -5, 17, 272","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mmyb when four letters picked without replacement from {b: 1, d: 2, m: 5, y: 6, s: 2}?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-i - 5*i - 3*i)*(1 + 17*i - 8*i**3 + 9*i**3 + 0*i**3).\nAnswer: -9*i**4 - 153*i**2 - 9*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i + 5*i = 4. Let y be (-1)\/i*0 + 0. Let z(m) = -m**2 - 2*m + 347. Is z(y) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2768?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 52, 166, 316, 478, 628?\nAnswer: 742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 172\/60 - (56\/30 + -2). Suppose d*w + 3 = -3*r, -3*w - 4*r - 2 - 5 = 0. Let h(y) = y**3 - 3*y**2 + 4. Give h(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 55526 by -4.\nAnswer: -27763\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 159 minutes after 1:52 AM?\nAnswer: 4:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6 divided by 3527.\nAnswer: -6\/3527","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 6.905008 nanograms?\nAnswer: 0.000000006905008","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 44788, 89578, 134368, 179158, 223948?\n\"Answer: 44790*v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 228953 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 83485836?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 73178 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -12 in -15, -2, -13, 0.4?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) be the first derivative of 0*f**3 + f**2 + 36 + 0*f**4 - 33*f - 31\/5*f**5. Differentiate z(h) wrt h.\nAnswer: -124*h**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*d**2 - 34714140*d + 60253575796980.\nAnswer: 5*(d - 3471414)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13033*x = -13012*x - 1134462. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 15140\/7929 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 1, d: 2, y: 4, a: 6}. Give prob of sequence dd.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-60)\/12*-7*(-85)\/238.\nAnswer: -25\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 0 + 3)*(173*t + 55*t - 20*t) + 4*t - t + 0*t.\nAnswer: 419*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 8325 to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k*k**7*k**4*k)\/((k\/k**(-1\/15))\/((k*(k\/(k**(-4)*k*k))\/k*k)\/k)))**27 assuming k is positive.\nAnswer: k**(2016\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 2702 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = -2*a**2 - 3*a + 2*a + a. Let x(p) be the second derivative of 3\/4*p**4 + 0 + 0*p**3 + 0*p**2 - 7*p. Determine x(i(j)).\nAnswer: 36*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = -o**2 - 14*o - 1. Calculate p(-9).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = -6 - 2*l + 7 + 5*l**2 - 3*l**2. Let g be n(2). Suppose 4*p - 173 = -g*o, -3 = -2*o - 1. Is 16 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = 4*s - 16. Let y be (-100)\/(-20) - (-1 + 1). Let i be g(y). Suppose t - i = -o, -3*t + 3*o = -0*t - 6. Solve 0 = t*l - 0*l + 15 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence pp when two letters picked without replacement from popooopo?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 26190, 26188, 26186, 26184, 26182, 26180?\n\"Answer: -2*f + 26192","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*p + 0*p + p**2)*(p + 1 - 1)*(0 + 2 - 1)*(-41 + 35 - 39).\nAnswer: -45*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 13 - 5558.833563935.\nAnswer: -5545.833563935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 249\/589 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = -2*m - 10. Let f be u(-6). Suppose 207 = 2*c + 2*k + 19, -160 = -f*c + 5*k. What is the tens digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*l**3 + 265 - 265 + 10*l**3.\nAnswer: 7*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 1170*p**2 - 125*p - 6406 wrt p.\nAnswer: 2340*p - 125","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -32906 - -32906.22393. Round n to two dps.\nAnswer: 0.22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*t = -3*l - 57, -5*l + 8*t - 83 - 46 = 0 for l.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = -3019*a + 15. Let o(q) = 93587*q - 460. What is 3*o(w) + 92*y(w)?\nAnswer: 3013*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 2025072 and 4802.\nAnswer: 686","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 54 - 50. Suppose 2*t = -t + a + 235, 60 = t - v*a. What are the prime factors of t?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-2*j**2 + 3 - 3)*(4*j + 6 - 6) + 1 - 2*j**3 - 1)*(-5*j + 6*j + 6*j).\nAnswer: -70*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) be the second derivative of u**10\/3024 - u**9\/1008 + 4*u**4\/3 - 24*u. Let n(r) be the third derivative of c(r). Determine f, given that n(f) = 0.\nAnswer: 0, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(4860) - sqrt(4860)*-1) + (1*sqrt(420) + sqrt(420))\/sqrt(7))*3)\/(sqrt(96)\/sqrt(8)*3 + sqrt(48)*-3).\nAnswer: -20*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -10.384 in 0.3, 2\/9, -3, 1\/26?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) be the second derivative of -x**6\/72 - 5*x**4\/24 + x**3\/2 - 9*x. Let u(j) be the second derivative of n(j). Differentiate u(r) with respect to r.\nAnswer: -10*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 - 6 = -g. Suppose -16989 = -5*k - g*a, -3993 - 6194 = -3*k + 4*a. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l = -9*g + 6*g + 19625, 0 = g + l - 6541. Round g to the nearest 100.\nAnswer: 6500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-1)\/(-2) + 2*(-2)\/(-8). What is the second smallest value in 4, q, 29?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3629 - 1921 = -6*s. Let f = -456 + s. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = 2*s**2 - 8*s - 27. Let l be a(-6). Suppose d - 5*f - 29 = 0, -3*f = 7*d - 3*d - l. What is the greatest common divisor of d and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -104 - 3?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = 12*k + 1. Let n(w) be the first derivative of -23*w**2\/2 - 2*w + 3870. Calculate 7*c(s) + 4*n(s).\nAnswer: -8*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = 8*x + 9 - 9 - x. Let i(l) = -21*l**2 - 14*l**2 + 36*l**2 - 16*l**2. Give m(i(o)).\nAnswer: -105*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3416 is divided by 76?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -121\/6 and 185\/3192?\nAnswer: 3192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.58 - 14.58. Which is the smallest value?  (a) 0.2  (b) 0.5  (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*i + x - 92, 16*i + 2*x = 14*i + 40. Suppose -86 = 5*j - 1. Let l = j + i. What is the third smallest value in l, 2, 2\/9?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = -3*o**2. Let q be (-6)\/(-6 + (-32)\/(-6))*(-5)\/(-15). Let m(g) be the second derivative of 0 + 0*g**2 + 0*g**q + 7*g - 1\/12*g**4. What is m(u(s))?\nAnswer: -9*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 2112222001 (base 3) in base 2?\nAnswer: 1100010001100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -122 + 127 + -37 + (-1 - (-2 + 3))?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -11 - -8. Let b = -1 - d. Solve -2*q + 12 = b*h, 4*h + 4*q = 2*q + 20 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 34578706*d - 69157604*d + 34578896*d.\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -1, -0.11, 0, 3, 3\/5872?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (6\/324*-234)\/((-4)\/12).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is nineteen quarters of a tonne in kilograms?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 413, 417, 433, 467, 525, 613, 737, 903?\nAnswer: 1117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00003485764 to 4 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i\/i**(-21))\/i*i**(-2\/5)*i*i**12*i*i\/(i\/i**(-1\/35)))**(4\/3) assuming i is positive.\nAnswer: i**(968\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 460, 617, 774, 925, 1064, 1185, 1282?\n\"Answer: -n**3 + 6*n**2 + 146*n + 309","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = 146*a - 4 - 24 - 17 + 272*a. Is q(10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 293*b = 308*b - 5*m + 55, 5*m = b - 1 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 211001 (base 3) to base 13.\nAnswer: 36a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*a**3 - 4108*a**2 - 1092672*a - 19305216.\nAnswer: -4*(a + 19)*(a + 504)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 0.5, -3933, 0.93.\nAnswer: -3933, 0.5, 0.93, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = -3*f**2 - 2*f + 9. Let k be (-30)\/9*9\/(-6). Let s(l) = -l**2 - l - 3 + k + 2. Give 5*s(v) - 2*x(v).\nAnswer: v**2 - v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-43)\/((-1075)\/(-4505)))\/(-17)?\nAnswer: 53\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many kilometers are there in 1.733137m?\nAnswer: 0.001733137","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = 26*j + 110. Calculate m(-7).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.9732641 centuries to months.\nAnswer: 1167.91692","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 763123 times 0.5?\nAnswer: 381561.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 5  (b) 10  (c) -0.1  (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -0.06 or -534425\/9?\nAnswer: -534425\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 l, 1 i, and 1 n when three letters picked without replacement from {q: 2, l: 3, w: 9, n: 1, z: 2, i: 1}.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 4 + 253523?\nAnswer: 253531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 240\/128*2\/(-5)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -18 + 44 + (-20 - -26 - -25).\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s**0)**(2\/15)*s**(4\/7)\/s**(1\/3))**13 assuming s is positive.\nAnswer: s**(65\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Are 0 and 2\/1593 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 35*l = 15*l - 45*l - 56*l + 4961 for l.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.321 at least as big as -0.0025?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is -322 at most as big as -323?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = -q**3 + 28*q**2 - 61*q - 93. Give s(26).\nAnswer: -327","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*l - 5*i - 10 = -4*l, 0 = l - 3*i - 6. Suppose l = 2*z + 3*z. Is 3\/7 less than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum 513305.2557 and -11.\nAnswer: 513294.2557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 6.326994 minutes in seconds?\nAnswer: 379.61964","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k - 15 - 16 = -3*v, 0 = 4*v + 12. Let b(r) = r - k - 2*r + 3. Let x be b(-7). Solve -3*d + 2*c = 19, -5*d + 2*c - 7*c - 15 = x for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 19984124?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 37, 80, 139, 220, 329, 472, 655?\n\"Answer: n**3 + 2*n**2 + 30*n + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vj when two letters picked without replacement from {v: 12, j: 6}.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.15 - -3.85. Let l = v - 3.9. Which is the closest to l?  (a) -4\/3  (b) 0  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 191 + -313 - (-265 - -27)?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -313 - -227. Let g = n - -79. Let h(o) = 2*o + 15. Determine h(g).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2.39733906 rounded to three decimal places?\nAnswer: -2.397","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -7 - 34. Let l = a + 40.999954. What is l rounded to 5 decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 717935?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -19*c = -2*t - 24*c, 0 = -3*t + 3*c + 21 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*v - 16 = -0*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-3286458)\/(-29610) + -111)\/((4 - 2)\/10).\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express (27 + 4*q + 4*q - 10*q)*(2*q**2 + 3*q**2 - 4*q**2) as j*q**3 + x*q**2 + t + z*q and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*g**2 + g + 2 + 38*g**3 - 4*g + 21*g - g - 16*g as m*g + q + v*g**3 + f*g**2 and give v.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = -h**3 + 56*h**2 - 111*h + 182. Let k be t(54). Solve -11*d + 16*d = -k for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*u - a - 33 = 2*a, -3*u + 5*a + 21 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 661522162.\nAnswer: 2, 7, 47251583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = -q**2 + q - 1. Let o(t) be the first derivative of 2\/3*t**3 - 1\/2*t**2 + 1 + 2*t. What is -5*g(z) - 3*o(z)?\nAnswer: -z**2 - 2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -55259, -55069, -54883, -54701, -54523, -54349, -54179?\n\"Answer: -2*l**2 + 196*l - 55453","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 249361?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3198*w + 0 - 2 + 3197*w + 2.\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -1.24*0.019\nAnswer: -0.02356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.4648901m in kilometers?\nAnswer: 0.0004648901","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (0 + 1 - -9)\/(-1). Let n = -8 - k. What is the third derivative of -n*s**2 + 6*s**5 + 15*s - 15*s wrt s?\nAnswer: 360*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 423 a factor of 221529351?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -388 - 110 = -83*u for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Does 7 divide 551?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 16583 and 4235772.\nAnswer: 2369","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {z: 3, q: 1, m: 4, o: 2, g: 1, i: 1}. What is prob of picking 1 z, 1 i, and 1 o?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from nznzlhipiznnhizzillz. Give prob of picking 1 h, 1 i, 1 n, and 1 l.\nAnswer: 32\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 7 + (1 + 5)\/(-2). Solve x + g + 2 = 0, -q*x - 3*g - 2 = 7 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 2\/5 - (66\/5)\/3. Is -4 at most v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 23716?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 193077 is divided by 35?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put 448, -5, 0, -1 in increasing order.\nAnswer: -5, -1, 0, 448","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = 10*q + 332. Let w(c) = -3*c - 111. Determine 4*p(u) + 14*w(u).\nAnswer: -2*u - 226","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (54\/135)\/(2 - (-9)\/5). Is -2\/13 less than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-2 - -3)*-3 - 2183\/(-118). Which is greater: h or 15?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -31, -3, 1, -41674 in descending order.\nAnswer: 4, 1, -3, -31, -41674","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 17 - (-8 + 27 + -7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1654479, 1654488, 1654501, 1654518?\nAnswer: 1654539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1181623990 or -1181623989?\nAnswer: -1181623990","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor w**3 + 69*w**2 - 712*w - 780.\nAnswer: (w - 10)*(w + 1)*(w + 78)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*b = -5*f - 50, 1262554*b - 1262549*b - 2*f = -58 for b.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000011147908 rounded to six dps?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xbx when three letters picked without replacement from {x: 4, b: 6}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 14591 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 68277783631 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -47 - 13 = 20*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 4157804857 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -268, -279, -296, -319, -348?\n\"Answer: -3*c**2 - 2*c - 263","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 22.5694365 to 1 decimal place.\nAnswer: 22.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = -n**3 - 7*n**2 - 12*n - 31. Let p be i(-6). Solve -f - 1 + 6 = 0, -4*g = p*f - 17 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 2.097466 hours?\nAnswer: 7550877.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -9, 6, 23, 42?\n\"Answer: g**2 + 12*g - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = -p**2 - 21*p + 49. Let g be v(-23). Suppose g*o - 4*o = -4. Solve o*a + 2 = -x - 15, 5*a - 3*x + 17 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(6*sqrt(187)*-1 + sqrt(187))\/(sqrt(1100)*2).\nAnswer: -5*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (1989\/52 + -15)\/(3\/8). Solve -53*b = -k*b - 27 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 18982 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Divide -7912032 by 1.\nAnswer: -7912032","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*b + 4*j + 316 = 0, -237 = -4*b - j + 20. Suppose g - b = -3*g. What is the remainder when 46 is divided by g?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -l**3\/4 - 76998737*l**2\/4 - 153997471*l\/4 - 76998735\/4 = 0. Calculate l.\nAnswer: -76998735, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = -2*d**2 + 6*d - 9. Let o = 206 - 204. Let r(m) = -m**2 + 5*m - 7. Let p(v) = o*t(v) - 3*r(v). Suppose 0*j - 4 = -j, -5*z - 4 = 4*j. Give p(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = 4*b**2 + 2690*b - 2419072. What is t(511)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 322 minutes before 1:59 PM?\nAnswer: 8:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 y, 1 c, and 2 g when four letters picked without replacement from gycbbggbbbg?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 8667688*g*l*u - 259645761*g*l + 11*g*u wrt u?\nAnswer: 8667688*g*l + 11*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 169\/1530 and 89\/2?\nAnswer: 1530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 18313 - 1?\nAnswer: 18312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 4, 0, 3, -3, -64?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 732830301 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 183198 is divided by 61035?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/50 of a litre in millilitres?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = -50966*l. Let j(y) = y**2. What is f(j(h))?\nAnswer: -50966*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*c + 4*c = -10. Let v(n) = 9*n + 12. Let y be v(c). Let t = -2.08 + 0.08. What is the nearest to -1 in -9, t, y?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 0 + 3 + -3 + 3. Let r(d) = 3*d**3 - 2*d**v - d**3 - d**3 - 4 + 5*d**2. Calculate r(4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = 2*s**2 + s - 48. Give q(0).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {x: 3, f: 4, v: 2}. What is prob of picking 1 x and 2 v?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.10826369 - 0.2.\nAnswer: -0.30826369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -30 + 29. Let c = 2 + -2. What is the nearest to c in m, 2\/5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -13 in -4, 0, -14169?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -95 in -26, 1\/8, 14.7?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 5981406?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 22747 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-74*z - 3 + 73*z - 3)*(-5*z**2 + 2*z**2 + z**2) to the form l*z + a*z**2 + f + h*z**3 and give a.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 972 and 306.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -624 divided by 48.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of -4 - (-308 + 0\/3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1012438467?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 158788184 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.062 + 0.133. Let y = k - -0.129. Does y = 1\/25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 51*h**4\/2 - 77259*h**3\/2 - 43509*h**2 + 459312*h + 54576 = 0 for h.\nAnswer: -4, -2\/17, 3, 1516","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7\/5*t**3 - t**4 - 3\/5*t**2 + 1\/5*t**5 + 0*t + 0 = 0 for t.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -q - 1038 = -64*l - 458*l, -q + 0*q + 24 = 3*q for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 702995 to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = -7*t + 40. Let q(z) = -3*z + 37 + 7 - 3*z - 2*z + 0*z. Let d(i) = 4*l(i) - 3*q(i). Determine d(8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z = 3*w + 28, 5*w - 2*z = w - 14. Let c be 19419498\/1 + -2 + w. Suppose 12380505 + c = -2*t. Round t to the nearest one million.\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 53 + -213\/4. Let x be (-3 + 7\/2)\/(10\/(-4)). Which is the smallest value?  (a) x  (b) 2  (c) 1.4  (d) n\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = -32*v - 650. What is g(-20)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 21 - 5*u - 12 + 7 + 11.\nAnswer: -5*u + 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 167845 is divided by 1578?\nAnswer: 577","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (1\/(-2))\/(17\/(-170)). Let a be ((-3)\/2)\/(1\/(-2)). Sort j, -11, a in increasing order.\nAnswer: -11, a, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5*23\/(-3220)*20?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 84046 in -2, -1, 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:47 AM and 3:46 PM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 51518 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Work out -9.8 * 0.07661362.\nAnswer: -0.750813476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 37.84586 rounded to 2 decimal places?\nAnswer: 37.85","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 31\/5 of a millimeter?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Work out -3 * 67479.\nAnswer: -202437","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 3 + 97. What is the highest common factor of 125 and n?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -0.3, 20, 0.2, 4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) be the first derivative of -2043*r**2 - 93*r + 3177. What is the first derivative of c(s) wrt s?\nAnswer: -4086","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 111 - 110.8. What is the biggest value in 4, -0.5, 1237, i?\nAnswer: 1237","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 10*x**4 - 15*x**3 - 115*x**2 + 60*x = 0. What is x?\nAnswer: -3, 0, 1\/2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 g when three letters picked without replacement from eeeeegeegeeege?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Add together 352.83 and -0.12038.\nAnswer: 352.70962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 435578?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-414)\/(-92) + -1 + -8. Does v = 5\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 23098 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 87 a factor of 36799?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = x**3 + 8*x**2 + 6*x - 4. Let o be i(-7). Let l be (8\/20)\/((-2)\/(-10)). Is l at most o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 21 - 21 + c - 19*c**2 - 76*c**2 in the form m + b*c + s*c**2 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = 4*g**2 + 58*g - 340. Let n be w(33). What is the highest common factor of 5 and n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -11973 + 11976. Sort -27, 5, -2, i, 0 in descending order.\nAnswer: 5, i, 0, -2, -27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:13 PM and 5:22 AM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify r*r**14*r*r*r*r*r*(r*r**(-2))\/r*r*(r*r*r*r**(6\/13)\/r*r*r)\/r**(-2\/41) assuming r is positive.\nAnswer: r**(12531\/533)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -117, -120, -133, -162, -213?\nAnswer: -292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -33.8 times 0.67355?\nAnswer: -22.76599","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, -2, 4869547, -28, 4 in ascending order.\nAnswer: -28, -3, -2, 4, 4869547","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) be the first derivative of -1848\/5*w**5 - 283*w**3 + 2019\/4*w**4 - 70 + 98*w**6 - 3*w + 93\/2*w**2. Factor x(a).\nAnswer: 3*(a - 1)**3*(14*a - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.03725 and 0.097418.\nAnswer: -0.0036288205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1851*p - 1836*p - 31050 = 0. Calculate the remainder when p is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -53 - -72. Suppose 0 = -b*o + 32*o - 299. Calculate the remainder when o is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*-5*sqrt(18)\/sqrt(216)*4.\nAnswer: -10*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find h, given that 2*h**2 - 107284*h + 1438732082 = 0.\nAnswer: 26821","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -45 - -49. Suppose -p*w = w - 25. Find the third derivative of -13*u**2 - 2*u**6 - w*u**6 + 25*u**2 + 0*u**6 wrt u.\nAnswer: -840*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = 4*p**2 + 5*p + 8*p + p - 6*p - 10. Let v be q(4). Round v to the nearest ten.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 16695934 and 142.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -2 - -7. Let f = -10 + m. Let w = 78\/5 - 16. What is the nearest to w in -4, f, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 61631.21m?\nAnswer: 6163121","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 28257 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: Let t be 17\/(-4)*(-368)\/4. Suppose -54*u - 32 = -i - 59*u, u = -4*i + 71. Calculate the highest common factor of t and i.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = d**3 - 24*d**2 - 53*d + 16. Determine v(26).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 49002 - 3624?\nAnswer: 45489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o + 19 = 2*c + 13, 3*c = 9. What are the prime factors of 679 - (7 + -2) - o?\nAnswer: 2, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine m, given that -m**5 - 25*m**4 - 127*m**3 + 9*m**2 + 468*m - 324 = 0.\nAnswer: -18, -6, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = 8*f - 22. Let q(c) = 581 - 287 + c**2 - 294 + c**2. Give x(q(p)).\nAnswer: 16*p**2 - 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 37\/2 of a tonne in kilograms?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 20 = 4*f + 8 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -594 + 596. Suppose -2*i - 2*z + 62 = 0, 3*z = x*i - 66 - 1. Calculate the smallest common multiple of i and 48.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 16065861 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 3 + 143?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = -6*b**3 + 79*b**2 + 155*b - 2169. Give q(13).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = 2*b**3 + 20*b**2 - 15*b + 83. Determine r(-11).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = -x**2 - x. Let p(f) = -7*f**3 - 28*f**2 - 42*f. Let z(u) = -28*j(u) + p(u). What is the second derivative of z(l) wrt l?\nAnswer: -42*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = j**3 + 3*j**2 - 4*j + 2. Let i be u(-4). Suppose -3*q = -i - 31. Suppose 0 = -4*b + q - 3. What is the remainder when 2 is divided by b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 51\/1532 and -43\/64.\nAnswer: 24512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = y**3 + 13*y**2 + 42*y. Let x be z(-7). Suppose x = 4*n + n - 30. What is the lowest common multiple of 8 and n?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -516?  (a) -6741  (b) 0  (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (h - 5*h + 3*h)*(-445*h + 445*h + 135*h**3) - h**4 + 5 - 5.\nAnswer: -136*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = 5*u**3 - 3*u**2 - 4*u - 1. Is r(3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = 64*v - 61*v + 23 + 22 - 48. Let n(q) = -5*q. Calculate j(n(w)).\nAnswer: -15*w - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 214544 < 214545?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 790, 4, 73 in descending order.\nAnswer: 790, 73, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/4?  (a) 3  (b) 0.06  (c) 0.0917\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -132 + 120.8. Let s = m - -7.5. Let j = s + 3.758. Round j to 2 decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) be the third derivative of 323*l**6\/12 + l**5\/15 + l**4\/24 - 9*l**3 - 1820*l**2. What is the third derivative of v(y) wrt y?\nAnswer: 19380","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 28 = 2*l - 3*a, 2*a = -72*l + 76*l - 16 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in -0.2, -2\/9, 3\/2, 151\/78?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {q: 6, k: 1, f: 3, x: 1, i: 6}. Give prob of picking 1 f and 1 q.\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 divided by 119935094?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -1240572 divided by -67\nAnswer: 18516","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 21*y + 9*y - 120 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -3, -8, -27, -66, -131, -228, -363?\n\"Answer: -b**3 - b**2 + 5*b - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -245 + 417. Suppose -3*b = -w + 94, 0*b + u = 2*w + 2*b. List the prime factors of w.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/(-1)*(-4)\/(-26)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.2 - 0.3. Let j = 13876.9 - 13877. What is the closest to j in -4, s, 1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) be the second derivative of -1\/36*s**4 + 37\/18*s**3 + 0 + 109*s + 19\/3*s**2. Factor z(l).\nAnswer: -(l - 38)*(l + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.12 less than 15.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert 450632.6 minutes to nanoseconds.\nAnswer: 27037956000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-94737*w**2 + 94737*w**2 + 83*w**3 + w)*(2*w - 4*w + 0*w).\nAnswer: -166*w**4 - 2*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 91 and 689.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 121223124 (base 5) in base 6?\nAnswer: 20120450","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-16 - -17) + -4 + (42 - (1 + 2)).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 422, 344, 222, 62, -130, -348?\nAnswer: -586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.107 - -0.207. What is the second smallest value in 0.09, -1\/4, h?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = -12 - 12*u + 4*u - 2*u. What are the prime factors of a(-7)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -121 (base 3) to base 16.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 11797 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -86 + 85. Let r(u) = -u - 1. Let o be r(4). What is the closest to b in 0.2, -0.3, o?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 0.1 or -3782220?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -113534, -230418, -347302, -464186, -581070, -697954?\n\"Answer: -116884*t + 3350","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 7 - 3. Suppose 2 = 2*k - 14. Let s = 12 - k. Solve p*q - 28 + 5 = y, -3*y - s*q = -11 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -26128 divided by 8\nAnswer: -3266","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o + g + 1 = 0, 3*o = -o + 5*g - 7. Solve 3*v = -i + 3, -2*i + 6 = -2*v - o*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*q + q = -8. Let j be (-2)\/q + (-1)\/4. Suppose j*d = d - 17. Is 6 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-34 - (17 - 51)) + (-6 - -1)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 45*((-85)\/(-306))\/(115\/322)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1569 + 3 + (10 - 9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -224552804 or 2?\nAnswer: -224552804","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 976 and 12932?\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -42 + -0.85.\nAnswer: -42.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1c42 (base 14) to base 11.\nAnswer: 3966","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 43987, 43940, 43861, 43750?\n\"Answer: -16*l**2 + l + 44002","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 11\/((-968)\/(-3))*(-496)\/124.\nAnswer: -3\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -2.2 + 1.68. Let j = -0.18 - a. Let k = j + 0.44. Round k to 1 dp.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2*j**3 + 23274*j**2 + 5*j - 121763 wrt j?\nAnswer: 12*j + 46548","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: (24\/3)\/(7\/(35\/(-10)))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 2.6032 + -0.6032. Put -6, -0.4, 7, -3, t in descending order.\nAnswer: 7, t, -0.4, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 164573573 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = d**2 + 5245*d - 26220. Determine v(5).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 6685?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = -2*n + 4. Let c be l(-3). Suppose -5*u = -0*u + c. Let m = 3 - u. Solve 0 = 3*w - t - 13, -3*t - 14 - m = -4*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -44, -179, -554, -1289, -2504, -4319, -6854, -10229?\nAnswer: -14564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 8 - -8. Let i(c) = q*c**2 - 4 - 5 - 1 - 7. Let o(u) = 4*u**2 - 4. Let d(g) = 2*i(g) - 9*o(g). Find the first derivative of d(x) wrt x.\nAnswer: -8*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve r + 25*r = -78 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 7 + -12. Which is the smallest value?  (a) -0.5  (b) 2  (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 3  (b) 0.7033  (c) -1\/44\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -71\/16 and 23\/118.\nAnswer: 944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -4*p**5*x + 1983*p**4 - 3343*p**2*x + 145*p**2 + 2*x wrt p?\nAnswer: -240*p**2*x + 47592*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*v, 4*z = 5*z + v - 10. What is the greatest common divisor of 80 and z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -21, 4, 51, 132, 259?\nAnswer: 444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24*h + 4773 + 1131 = 0. Does 3 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -20.543 + 20.6. Let d = 0.021 - n. What is the smallest value in d, 3\/5, 0?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 24137*v**2 - 8007*v**2 - 8044*v**2 - 8019*v**2.\nAnswer: 67*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 15673616627 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-6 - -2) + 27 + -5. What is the greatest common factor of n and 144?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 10*y**2 + 20 + 4 - 23 to a + z*y + h*y**2 and give h.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000000536 to 7 dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -4*1\/(-32)*(-5)\/25*-10\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = 368*h**2 + 30*h + 308. Let w be v(-18). Round w to the nearest 1000.\nAnswer: 119000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -2  (b) -3  (c) 1\/5  (d) 0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 9*618\/810 - 7.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -0.5, 1, -0.2, 0.21?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = 38*p**3 - 3*p**2 + p. Let g be r(1). Suppose 5*b = 4*n + g, 4*b = 3*n + 15 + 14. Suppose 2*c = b*c - 48. Does 2 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 467 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: Solve -h + 326 - 374 = -7*h for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -68642952004*n**2 - 47159640*n - 8100 = 0. Calculate n.\nAnswer: -45\/130999","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"}
{"text":"Question: What is 4 minutes before 10:46 AM?\nAnswer: 10:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 637.12 + -637. Put w, -3\/5, 7 in descending order.\nAnswer: 7, w, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -3, -4, 1 in increasing order.\nAnswer: -4, -3, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Does 14 divide 14175?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(5 + 4 + sqrt(3) + (sqrt(3) - (sqrt(3) + -2)) - (-5*sqrt(243)*2)**2).\nAnswer: -sqrt(3) + 24289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-1)\/((-3)\/(-1)))\/1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y + 40 = 78. Suppose -y = -3*w - 7. Suppose -5*o = 3*u + 11 + 1, 2*u + 8 = -w*o. Sort 3, o, -7 in descending order.\nAnswer: 3, o, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*x + z = -20, -4 = -2*x - 26*z + 27*z for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.1 and -0.419.\nAnswer: 0.0419","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = 10*o**2 + 30*o + 16. Does 28 divide w(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 717478.6 kilometers in nanometers?\nAnswer: 717478600000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -14 - -16. Let j = k - -3. Sort j, 2\/15, 1\/2 in increasing order.\nAnswer: 2\/15, 1\/2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 3 - 3.5. Let p = -330 - -2314\/7. Let q(u) = -3*u + 2. Let z be q(1). What is the third smallest value in y, z, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 291247, 582491, 873737, 1164985, 1456235?\nAnswer: 1747487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 6 - ((-124)\/(-44) + 6\/33). Suppose o = p - 4, -2 = u + o. Let y be 2 + (-27)\/(-12)*u. What is the nearest to y in 0.2, -2, 3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {t: 9}. Give prob of sequence tt.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh smallest value in -1, 2190, -2, 4, 5\/3, -4, 3.9?\nAnswer: 2190","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 2208\/144*(-1 + (6 - -1)). Let f = m - 87. Solve 4*z + 5*j = -16, -5*z + f*j + 24 = -z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 4842004?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify v*(v*v**(1\/8))\/v*v**(-3)*(v*v**(1\/15)*v)\/v**(-1)*(v**3\/v**(-1\/4))**(-4\/5) assuming v is positive.\nAnswer: v**(-169\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-13)\/(91\/(-6)) - (-129)\/(-126).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -19 + 14 + -14 + 21\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = s**2 + 19*s - 115. Suppose 2*t = 11*t - 243. What is the remainder when j(-27) is divided by t?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*c + 4*c = -2900. What are the prime factors of ((-102)\/85)\/(2\/c)?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -53 + 184 - 73 - 2*v + 11*v**3 in the form n*v**3 + a*v + z + h*v**2 and give n.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 36*(0\/(-1) - -2). Let h be 2\/4*c\/(-6). Let z be ((-3)\/(-18))\/((-1)\/h). Solve 4*d = 4*i - 4, 5*i - z = -3*d + 7*d for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 84?  (a) -137  (b) -10  (c) 19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 93a00b + -5?\nAnswer: 93a006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 58  (b) 3\/2  (c) 1\/81  (d) -0.1  (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 148 minutes after 6:12 AM?\nAnswer: 8:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = 2*m. Let y(f) = -2 - 5*f**2 + 5 - 3 + 3. Let r(n) = -n**2 + 1. Let u(w) = -6*r(w) + 2*y(w). Give u(a(p)).\nAnswer: -16*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 349545461 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + sqrt(28)\/sqrt(4) + 2 + sqrt(112)*-3)**2 + 3 + 2.\nAnswer: -110*sqrt(7) + 877","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is -1\/347 != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 11172 is divided by 53.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = 2*y**2 + 11*y. Give v(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (16\/(-460))\/(14\/60 - (-38)\/228). What is the second smallest value in z, 7, -7?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o - 126 = -5*h, -4*o - 12 - 4 = 0. Let p be -62*(h\/(-4) + 5). What is the highest common divisor of p and 341?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3298686 - 35725.91?\nAnswer: 3262960.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.3705861 and 0.5.\nAnswer: 0.18529305","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-12)\/14)\/((-6)\/28). What is the third derivative of 0*j**2 + 7*j**a + 7*j - 7*j + 2*j**2 wrt j?\nAnswer: 168*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.26 + 2.74. Sort 3\/5, h, 5 in descending order.\nAnswer: 5, h, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) be the third derivative of y**5\/180 + 11*y**4\/72 - 481*y**3\/9 + 4882*y**2. Find o, given that m(o) = 0.\nAnswer: -37, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 14*d**2 + 10827130 - 10827130 - d.\nAnswer: 14*d**2 - d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = -220*z**2. Let s(u) = -170*u**2. Determine r(s(c)).\nAnswer: -6358000*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 40784 divided by -8?\nAnswer: -5098","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 66 is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -329 - 61 = -13*u. Suppose b - u = 5*i, -2*i = 2*b - 0*b. Solve -b*k = -2*k + 12 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t + 396 = 5*v, 4*t - 32*v - 396 = -27*v. Let q be (-79)\/(-7) - 4\/14. Calculate the greatest common factor of t and q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l = -l + 3*c + 169, -113 = 3*l + 5*c. Let q = -24 - l. Calculate the greatest common divisor of q and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 11000010000010010 (base 2) to base 7\nAnswer: 562432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.3?  (a) -41  (b) -2  (c) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor -9*k**4 + 3*k**3 + 6*k**2.\nAnswer: -3*k**2*(k - 1)*(3*k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 9720621?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = -4*o**2 + 9*o + 57. Let s be u(8). Let v = s - -211. What is the highest common factor of v and 196?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 272690347 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from {a: 4, z: 3}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 29.011 + -0.011. Let l = n - 32. Which is the second biggest value?  (a) l  (b) -1\/4  (c) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 0.23 from -50722180.8.\nAnswer: -50722181.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 25952+1\nAnswer: 25953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 4 - 2. Let l be 476\/(-77) + 2\/11. What are the prime factors of l\/(y - 7\/2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*h - 2*h + 2*h)*(-64*h**2 + 64*h**2 + 2*h**4) + 65*h**4 - 65*h**4 + 19*h**5.\nAnswer: 27*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 7438525 to the power of 1\/2, to the nearest integer?\nAnswer: 2727","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-5 + (-24)\/40)\/((-1)\/10). Calculate the highest common factor of 8 and a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1298*c**2 + c + 3855*c**2 - c.\nAnswer: 5153*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17*z = -5922 + 1519. Let b = -107 + z. What is the remainder when b is divided by 31?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in -33, -30, -2, 3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2\/9 + 394\/9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 101011202100 (base 3) to base 14\nAnswer: 52dcb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18*i - 1 = -1. Suppose i = 28*y - 31*y + 12. Calculate the remainder when 9 is divided by y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = n**3 + 50*n**2 + 617*n + 22. Calculate w(-27).\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 13, 4, -5.\nAnswer: -5, 3, 4, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1590 - 1589. Calculate the smallest common multiple of 9 and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/8 of a decade in months?\nAnswer: 45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*z + 4793 + 2470. Let y be (-3)\/4*3162*1. Let n = y + z. Calculate the common denominator of -45\/22 and n.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*(-1*sqrt(264)*-3)\/sqrt(8))\/(sqrt(55)\/(4*sqrt(5)) - sqrt(11) - (-4*sqrt(66))\/sqrt(6)).\nAnswer: 12*sqrt(3)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = 7*m - 9. Let j(c) = -c**3 + 1. Let s(q) = 9*q**3 - 6. What is m*s(d) + 6*j(d)?\nAnswer: 3*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Are 437440103 and 437440101 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (1 - (-3 + 3))*5. Let r = -2 + s. Solve -5*u = -r - 2 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n - 2*n = -2*l, 2*n = 5*l + 1. Let c be (3\/(n + -1))\/1. Which is smaller: -1\/14 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1326*h**2 + 873*h**2 + 3*h**3 + 853*h**2 - 400*h**2 - 4*h**3.\nAnswer: -h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(405)*-2 + sqrt(45)\/(sqrt(36)\/sqrt(4)).\nAnswer: -17*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = 2*v**3 - 32*v**2 + 105*v - 1. Let j be w(4). Solve 0 = 7*i + 14 - j for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -241*k = -242*k - 3. Let i(p) = 33*p**2 + 9*p + 1. What is the units digit of i(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*o + q = -2*q + 45, -4*q + 20 = 0. Suppose 3*z = 7*z. Solve z = 5*t - 3*t - o for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l\/l**0)\/(l\/(l\/(l\/(l\/((l*l*l\/(l*l*(l**13*l*l*l)\/l)*l)\/l))*l))*l) assuming l is positive.\nAnswer: l**13","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ym when two letters picked without replacement from {m: 3, y: 3}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 1, z: 1, o: 4, c: 3, n: 4}. What is prob of sequence nb?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (((-30)\/(-560))\/(16\/(-28)))\/(424\/(-1696)).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = -y**2 - 2*y - 1. Let w(c) = -15*c**2 - 29*c - 34. Let q(s) = 6*u(s) - w(s). What is the units digit of q(-8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = -a - 2. Let i be v(6). Let t(m) = -m**3 - 7*m**2 + 12*m + 9. Let o be t(i). What is o rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 2\/5, -2.3, 6304?\nAnswer: -2.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Factor -28322\/5 - 476\/5*o - 2\/5*o**2.\nAnswer: -2*(o + 119)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.2 + 0.8. Suppose 0 = -n + 2*z - 12, -2*n - 12*z - 14 = -14*z. Let f = 2 - 5. What is the second biggest value in f, h, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 650 is divided by 52?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -0.18, -4, -13, -2\/3, -2\/11, 40, -5?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(425) - sqrt(425)*2)*-1 + (sqrt(425) - (5*(1 + sqrt(425)) + sqrt(425))) + sqrt(425) - -5*(2*sqrt(425) + 4 + sqrt(425)))**2.\nAnswer: 1800*sqrt(17) + 61425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 123.09 rounded to the nearest ten?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round -8.3847505 to the nearest integer.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = -w**2. Let x(t) = 54*t**2 - 24*t. Let j(m) = -8*n(m) - x(m). What is the second derivative of j(u) wrt u?\nAnswer: -92","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -257377298 by -4.\nAnswer: 128688649\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 2.5 - 0.5. What is the second smallest value in 0.4, -5, x?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = 34*h - 76*h + 24*h. Let r(q) = -1. Let f(w) = w + 2. Let z(m) = f(m) + 2*r(m). Give d(z(i)).\nAnswer: -18*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1068 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -5058, -5063, -5068, -5073?\nAnswer: -5078","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -1\/2, 1570\/7, 3, -1.9, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*u - q = -5*u - 4*q + 96, 0 = 3*u + 5*q - 40 for u.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3 + 2 - 1)*(0 + 0 - 2*x**2) + (0*x - 2*x + x)*(23192 - 27*x + 54*x - 23244) to the form k*x + s + o*x**2 and give o.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -320  (b) -2  (c) 2.29  (d) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) be the first derivative of -4*q**3\/3 + 120*q**2 - 3600*q + 596. Factor g(s).\nAnswer: -4*(s - 30)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 68.09313ng to micrograms.\nAnswer: 0.06809313","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Add 0.09 and -21.843.\nAnswer: -21.753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 5 + -102437?\nAnswer: -102432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 4853 and 92?\nAnswer: 4761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 2176305 and 300180?\nAnswer: 8705220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from uycuycuuy. Give prob of picking 1 c, 2 u, and 1 y.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 417 a factor of 15518?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 2480, 2476, 2470, 2462, 2452, 2440?\n\"Answer: -s**2 - s + 2482","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w\/(w*((w**0*w)\/w)\/w))**36\/((w*w*w**(-1\/3))\/w**(-3)))\/((w**1\/w*w)**(7\/3)\/(w\/w**(-4)*w*w**(-7)*w)) assuming w is positive.\nAnswer: w**29","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -3, 5, -18.2, 3, 1946?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + (sqrt(300)*3 - sqrt(300))**2.\nAnswer: 1203","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1955 is divided by 93.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l + 2*j - 106 = 0, -485 = -5*l + 2*j - 3*j. Let x = 101 - l. Suppose x*g + 9 = 39. Solve -5*k - i = -6 - g, k - i - 6 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(216)\/sqrt(2) - sqrt(588)*1)\/(2*(sqrt(64) + sqrt(4))*5*5).\nAnswer: -2*sqrt(3)\/125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*f**3 + 108*f - 108*f.\nAnswer: -3*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -23*r + 34*r - 10*r**3 - 18*r - 2*r**2 + 10*r + 10*r.\nAnswer: -10*r**3 - 2*r**2 + 13*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {c: 4, p: 5, d: 1, e: 4, z: 6}. Give prob of sequence dzze.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c - 12 = -3*i, 2*i + 12 = 5*i - 3*c. Suppose 5*n - 20 = h + 3*n, -4*h - i*n - 128 = 0. Let j = 70 + h. List the prime factors of j.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-43)\/((-3913)\/(-42))*35\/10. Which is smaller: -2 or p?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 141 - 69 = -8*g. Let s(f) = -6*f**2 + 7*f + 9. Let b(m) = -3*m**2 + 3*m + 4. Give g*b(q) + 4*s(q).\nAnswer: 3*q**2 + q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 b and 1 l when two letters picked without replacement from ssblslsbbssllbsbsss.\nAnswer: 20\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = -m**3 - 5*m**2 - 6*m + 5. What is the remainder when o(-5) is divided by (-39)\/(-6)*(6 + (-28)\/7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 61 - 119890?\nAnswer: -119829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -258215000 rounded to the nearest one million?\nAnswer: -258000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from oqoooxeqy. Give prob of picking 1 y and 1 q.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 46, 12, 20, -48.\nAnswer: -48, -4, 12, 20, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 127\/6 and 17\/15294?\nAnswer: 15294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor w**2\/6 - 16234432*w\/3 + 32468863\/6.\nAnswer: (w - 32468863)*(w - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = k**3 - 48*k**2 + 46*k + 47. Suppose -8*l + 1363 = 21*l. Let o be z(l). Sort -4, 117, o in descending order.\nAnswer: 117, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 a factor of 618?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00035914 rounded to 5 decimal places?\nAnswer: -0.00036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.73 + -0.27. Let y(t) = t**3 + 99*t**2 + 810*t - 3. Let f be y(-9). Sort 2.2, f, z in descending order.\nAnswer: 2.2, z, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*k**2 - 54*k - 51.\nAnswer: -3*(k + 1)*(k + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 985, 809, 621, 415, 185, -75, -371?\n\"Answer: -x**3 - 169*x + 1155","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qqh when three letters picked without replacement from qqqfqhqbqhfhfhf.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 30*v - 50*v + 20*v + 84*v**3.\nAnswer: 84*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from qtmmmmwjj. Give prob of sequence twmq.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 11 + -8. Suppose 0 = 4*u + 20, 4*m - 10 - 10 = -4*u. Calculate the smallest common multiple of (a - 0\/2)*3 and m.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x**(-1))**(-12\/5))**(1\/2) assuming x is positive.\nAnswer: x**(6\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 222101 is divided by 345.\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p = -2*p - 55. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7 + 8 + 1 + -11 - 32.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 278 - -38. Let k be (g + 0)*(-42)\/144. Let w = -92 - k. Sort -0.5, w, 3\/4 in decreasing order.\nAnswer: 3\/4, w, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-5)\/(-1))\/(2\/6). Let m = 9 - p. Let r = m + 13. List the prime factors of r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1563 + 1559 - (3 + -10 - -3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = 2*l**2 - 3. Let r be u(-2). Suppose -5*z = 3*j - 9, -2*z + r*z = 0. Suppose -34*d**j + 32*d**3 - d + d**5 + 2*d = 0. Calculate d.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -0.326 - -0.232. Let w = 0.446 + a. Round w to 2 dps.\nAnswer: 0.35","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5 + 1 + 3)*(-16*z + 7*z + 11*z) - 42*z - 143*z - 195*z.\nAnswer: -382*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t + 0*t - 443 = -5*q, 257 = 3*q - 4*t. Suppose 0 = 2*n - q - 119. Is n a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {a: 2, k: 11}. What is prob of sequence kak?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -1  (b) 325  (c) 8095\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 33*y - 11*y - 72424 = 0. Suppose -15972 - y = -28*a. What is the tens digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:56 PM and 4:06 PM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in nineteen quarters of a microgram?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 11673 - 11677. What is the fifth biggest value in -3, -3\/7, -7, 9, c?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*j**4 + 2*j**4 - j**4 + (2*j - 2*j - j**3)*(2*j + 3*j - 3*j))*(4*j - 5*j + 3*j).\nAnswer: -12*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 189*k - 6031 = -3*k - 633 + 4778 for k.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = 4673*b**2 + 791. Let m(c) = c. Give m(a(d)).\nAnswer: 4673*d**2 + 791","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express 279 + 0*m - 3*m - 271 + 4*m as w*m + k and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9*z**2 + 2*z**2 - 13*z**2 + 7*z**2.\nAnswer: 5*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -142 + 101. Let w = 118 + y. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.253 in 0.5, 0, 1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*n**2 + 2*n**2 - 5*n**2)*(-3 + 9 + 3)*(-1102 + 68 - 271 - 248).\nAnswer: -13977*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -81\/21266 and 25\/392.\nAnswer: 85064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (0*6\/(-30))\/((-2)\/1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 2484143 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 1\/34  (b) -2  (c) 0.46  (d) 3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 (base 8) in base 11?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 482 is divided by 18.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 29386 + -28536. What is the remainder when q is divided by 277?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-36)\/(-6) - 15) + 2808623 + (-6)\/(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -3 - 0. Let i = -13.13 - -12.73. What is the second biggest value in 0, i, v, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 235 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = -b**3 + 5*b**2 + 19*b - 40. Let h be f(7). Put 0, -4, h, 3 in ascending order.\nAnswer: h, -4, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve j + 7 = 4*y, -j + 1226 = 10*y + 1191 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round -2.217 to one dp.\nAnswer: -2.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f + f = -16. Suppose -f*n - 16 = 3*z, z + 4*z + 16 = -4*n. Solve -5*s - 2*l + 10 = 0, -4*s - 5*l = 9 - z for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3\/2*g**2 + 0 - 3\/8*g.\nAnswer: -3*g*(4*g + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2174*p - 97202 + 8068 for p.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.3459983175 + -0.346. What is v rounded to seven decimal places?\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine b so that 4*b**5 - 52*b**4 - 344*b**3 - 288*b**2 = 0.\nAnswer: -4, -1, 0, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 679097?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-6)\/(-72))\/((-5)\/(-45)*-3).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -9 + -1. Let v = -6 - z. Suppose v*j = 4 + 8. Calculate the lowest common multiple of 11 and j.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -2 and -2601318368038.\nAnswer: -2601318368040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:29 AM and 1:16 PM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 630433 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -21363, -21370, -21377?\nAnswer: -21384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -82 + (67 - 6) - (-3 + 35).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from eoeoieeoie. Give prob of sequence oeeo.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h = -3*m + 5*m - 18, 5*m + 5 = -5*h. Let l = -13 - -17. Suppose 3 = f + l*w - m, 0 = 4*f - 2*w - 78. Is 18 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i**4 - 30*i**3 + 75*i**2 - 40*i = 0. What is i?\nAnswer: -8, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = 785*g - 1743*g + 851*g. Let y(l) = 48*l. What is y(m(c))?\nAnswer: -5136*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 3\/5 of a micrometer?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 30, -52, -276, -714, -1438, -2520?\n\"Answer: -12*z**3 + z**2 - z + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*1*sqrt(1368))\/((sqrt(1210)*1)\/sqrt(5))*5.\nAnswer: -180*sqrt(19)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*((sqrt(2448) - (sqrt(2448) - -1*sqrt(2448))*-4) + sqrt(2448) + 1*sqrt(2448)*5 + -1) + -3)**2*1 + -5.\nAnswer: -3600*sqrt(17) + 2203220","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 4 + -4.4. Let y = -29.02 - -29.4198. Let v = y + l. Round v to 4 decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {u: 4, e: 6, c: 7}. Give prob of sequence cuc.\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16*d + 2821 = 3061 for d.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*x - n - 72 + 61 = 0, 5*x = -2*n - 25 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*j**4\/19 + 454*j**3\/19 + 1382*j**2\/19 - 454*j\/19 - 1380\/19 = 0 for j.\nAnswer: -3, -1, 1, 230","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1 + 4. Let g = 242 + -243. Put o, 0, g in decreasing order.\nAnswer: o, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1535 is divided by 37.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 6317 + -6298. Solve 3*c + 7 = -4*k, 31 = s*c - 14*c - 4*k for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 33425062 divided by -2\nAnswer: -16712531","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -14837\/28 + 530. Let c(t) be the first derivative of 3\/7*t**3 - o*t**4 + 24 - 3\/7*t**2 + 0*t. Find u, given that c(u) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand p**4 + 2*p**4 + 0*p**4 + 0 + 2*p**4 + 0 + (-4 + 4 - 2*p)*(-4*p**3 + p**3 + 2*p**3) + 4*p**4 + 4*p**4 - 6*p**4 + (4*p**4 + 0*p**4 - p**4)*(-2 - 6 - 4).\nAnswer: -27*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g = -5*q - 17 - 3, 0 = 5*q - 5*g - 20. Suppose 1 = -q*m - m. What is the units digit of (m - -5)\/((-24)\/(-204))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 5 times -402\nAnswer: -2010","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = 6*g**3 - g**2 - g + 3. What are the prime factors of s(2)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add -0.0601 and -1.3.\nAnswer: -1.3601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1722?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -13 + -10 + 33 - (1 - -15)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2708 + 18608 = 2*y - 2*o, 2*o - 6 = 0. Is y a multiple of 156?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x = -4*x - 5*i + 21, 12 = 3*x + 2*i. Let t(w) = 15*w + x*w - 5 + 3. List the prime factors of t(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = 116465*g - 5240886. Determine f(45).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 276344 is divided by 18407?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 67 and 169516901?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 750, 740, 730, 720, 710, 700?\n\"Answer: -10*d + 760","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 8019, 8020, 8021, 8022, 8023, 8024?\nAnswer: 8025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 3834813 to the nearest integer?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**(-1\/7))**9*(f**19*f*f)\/(f**(-1\/34)\/f) assuming f is positive.\nAnswer: f**(4937\/238)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 37\/50 and (-3)\/12 + (4251\/(-36))\/(-13) - -5.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -1631105301 - -5?\nAnswer: -1631105263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 1714 divided by -4\nAnswer: -857\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 528334 is divided by 40640.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 636002 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 4 + -1. Let q = -0.8 - -0.4. Let w = q + -0.6. Which is the second biggest value?  (a) w  (b) 0  (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1344 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2 (base 7) to base 6.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 108, 102, 96, 90, 84, 78?\n\"Answer: -6*u + 114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.094703 minus 1?\nAnswer: -1.094703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 j and 1 u when four letters picked without replacement from tjjtbjqujwtj.\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -374.7 - -374.70004842. Round d to five dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2842793 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 25667?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 38*p - 28*p + 47*p to s + f*p and give f.\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13*f - 9*f - 1 - 7 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o = -3*t + 23, -2*t + 5*t + o - 8 = 0. Let d = -7 + t. Which is smaller: -7 or d?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*(-2 + (sqrt(5200))**2).\nAnswer: -31188","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) be the second derivative of 1\/20*t**5 + 1\/6*t**3 + t**2 + t + 0 - 1\/12*t**4. What is the units digit of j(2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 84, 97, 110, 123, 136?\n\"Answer: 13*a + 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 173 minutes before 12:14 PM?\nAnswer: 9:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -6*i*j*y + i*u**3 + i*u**2 - 2*i*u*y + 5*j*u**3*y - 2*j*y - 3*u**3 - 2*u*y wrt i.\nAnswer: -6*j*y + u**3 + u**2 - 2*u*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/3 in -52, 0, -13, -1920?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 6*p - 10*p + 16. Factor 5*i**2 - 3*i**2 + i**4 - 13*i**p - 11*i**3 + i.\nAnswer: -i*(i + 1)*(3*i - 1)*(4*i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be -9*(1*-3)\/(-3). Does 5 divide 1\/(-3) + (-48)\/s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 56 and 10707432.\nAnswer: 74952024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1 + 1. Suppose -2*t = 4*p - 4*t - 8, -6 = -3*p - 2*t. What is the first derivative of p*m + 2 - o - 1 wrt m?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = 1928*x**3 - 15*x**2 + 20*x - 6. Is m(2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 14 divided by -10629\nAnswer: -14\/10629","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 1890537 a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence srr when three letters picked without replacement from srrdddyrryy.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in sixty-nine halves of a millennium?\nAnswer: 3450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p + 0*x = x + 9, -4*x = -4*p + 28. Suppose m + 17 = -p*m - 2*i, -4*i - 13 = -m. Let d(a) = 190*a**2 - 7*a - 10. Is d(m) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -146 - -145. Let b be ((-10)\/(-140))\/((-2)\/(-16)). What is the smallest value in -6\/7, p, b?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11190615 to the power of 1\/3, to the nearest integer?\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = 10*f**3 + 22*f**2 + 491*f. Let g(u) = 50*u**3 + 116*u**2 + 2456*u. Let o(a) = 3*g(a) - 16*z(a). Find the second derivative of o(k) wrt k.\nAnswer: -60*k - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -1212 + 211011?\nAnswer: 202022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 324732?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -12*h + 13*h - 32. Calculate the highest common factor of 288 and h.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from obwwmwvvwbvwwb. What is prob of sequence vm?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: (-224)\/(-264)*(-3780)\/2205\nAnswer: -16\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 6 - 2*z**3 - z**3 + z + 2 - 6 - 10*z**3 to u*z + l*z**2 + s*z**3 + r and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:19 AM and 8:56 AM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = 2*f + 3*d, 4*f + 3*d = 3 - 1. Suppose 0 = -2*w - 2*w + 272. What is the remainder when w is divided by f\/((-2)\/44) + 1?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in 3, -2, -8, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-14 + 10*a + 14)*(-111 - 2*a**2 + 2438537*a - 2438537*a).\nAnswer: -20*a**3 - 1110*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -3\/8, 82, -2, -1\/4, -1\/2, -2.31?\nAnswer: 82","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {o: 10, p: 6, x: 1}. Give prob of sequence pop.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from wwwwdbwbxddwk.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -14?  (a) 0.3  (b) -3  (c) 11  (d) -0.224\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2680 = v - 2679. Let i(m) = 4*m**3 - 2*m**2 + 1. Calculate i(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 309570\/46665 - 120\/18\nAnswer: -2\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence fvv when three letters picked without replacement from vvqvfvqqvq.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1 + 5 + -11 - -7) + 17 + -1?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -116, -233, -350, -467, -584, -701?\nAnswer: -818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 12815785?\nAnswer: 5, 19, 313, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Total of 5 and 0.14512862.\nAnswer: 5.14512862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 12 minutes before 11:09 AM?\nAnswer: 10:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from nzzsnzznnnensske. Give prob of picking 1 z and 1 k.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = 9*w**2 - 4*w + 4. Let a(s) = -12*s**2 + 37*s - 7*s**2 - 8*s - 10*s - 10*s - 9. What is -4*a(x) - 9*b(x)?\nAnswer: -5*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -318.9 - -319.4. Put n, 0.02, -138, 1, -3 in decreasing order.\nAnswer: 1, n, 0.02, -3, -138","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-36)\/(-63))\/((-10)\/(-35)). What are the prime factors of 1 + 1 + r + (-228)\/(-4)?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j**29\/(j*j**29))\/((j\/j**(-1\/32))\/(j\/j**(-3\/16)*j)))**(-32) assuming j is positive.\nAnswer: j**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 415, 321, 209, 73, -93, -295?\nAnswer: -539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 43 a factor of 3182?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z**(1\/2)*z**(-2)*z*z)\/(z\/z**0)**(6\/7))\/(((z*z\/((z\/z**(1\/3))\/z)*z)\/z)\/z**(-1\/2)*((z**1\/z*z)\/z)**(4\/7)) assuming z is positive.\nAnswer: z**(-67\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is -8561 greater than -419\/14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4.1*2.0925.\nAnswer: 8.57925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 416 minutes before 2:18 PM?\nAnswer: 7:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*s + 291 - 157 = 6*n + 162, -2*s - 4*n + 4 = s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = 4*m**2 - 65*m + 127. Let a be z(14). Put 2, a, -2, 38 in increasing order.\nAnswer: -2, a, 2, 38","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 65418161.8 to the nearest one million.\nAnswer: 65000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 51533 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 n and 1 o when two letters picked without replacement from nantanttotfdttttoddt.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1221.\nAnswer: 3, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Divide 693 by 5.\nAnswer: 693\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) be the second derivative of 0*b**2 - 1\/6*b**3 + 0 + 5*b. What is s(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -4 + 34. What is the smallest common multiple of 9 and z?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = d**2 + 33*d + 122. What is x(-6)?\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -8 - -11. Let q = -56 + 57. What is the nearest to q in 1, -5, t?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3*m**3 + 4*m**3 + 599 + m**2 - 599 to the form q*m**2 + u*m**3 + n + w*m and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 252*n**2 - 17*n + 3*n - n + 1 + 10*n.\nAnswer: 252*n**2 - 5*n + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -13f (base 16) to base 11\nAnswer: -270","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) be the first derivative of -2*o**3\/3 + 3*o**2\/2 + 5*o + 4. Let b(x) = -3*x**2 + 4*x + 7. Calculate -5*b(g) + 7*s(g).\nAnswer: g**2 + g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Does 56 divide 8125656?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = -2*h**3 - 10*h**2 - 2. Let b be d(-5). Let y be 2*(1 + (b - -1)*3). Is y greater than or equal to -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-111 + 4*n - 28 - 3*n)*(2*n**2 + 3 - 3).\nAnswer: 2*n**3 - 278*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = -y**3 + 18*y**2 + y - 33. Let h be f(18). Let a(q) = 4*q + 66. Let o be a(h). Calculate the greatest common divisor of o and 198.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 11010 + 1010101?\nAnswer: 1101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -3*(-4)\/(-24)*(-20)\/10?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000190844691 to 7 decimal places.\nAnswer: -0.0000191","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -3 - -8. Suppose 0*v = -v - 2, 30 = 2*n - a*v. Let y = 52 - n. Is y 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 160 and 2889380.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {c: 5, t: 8}. Give prob of sequence cc.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 144 and 8766?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from nomgnommgm. What is prob of sequence omgm?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = g - 3. Let t be (-3 + -11)\/(-2) + -2. Let a be m(t). Suppose -a*s - 4*y = -0*y - 46, 12 = -s + 5*y. Does 8 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = -3*r**2 - 7*r + 1. Let n(i) = 7*i**2 + 14*i - 2. Let d(k) = -2*n(k) - 5*v(k). List the prime factors of d(-8).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 15 + -11. Suppose 2*u = -4*b + 104, -2*b - t*u + 49 + 15 = 0. Suppose -4*o + 8 + b = 0. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -10, -5, 64, 5 in increasing order.\nAnswer: -10, -5, 1, 5, 64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -45 = -4*m - 5*c, -c - 373 = -3*m - 363 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = -21*t**2 - 6*t + 21. What is w(-5)?\nAnswer: -474","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2 (base 5) to base 10.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 divided by -36277.\nAnswer: -1\/36277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3373*t**3 - 64*t**2 + 35*t**2 + 29*t**2.\nAnswer: 3373*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/((-5)\/(150\/(-6)))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + 3*(-5*(sqrt(11) + sqrt(275) - sqrt(11)) - (sqrt(539) + sqrt(539)*3))*-3)**2.\nAnswer: 1908*sqrt(11) + 2502823","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 53 = 4*g - b + 28, 3*b = -5*g + 10 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(6*2*(-1 + sqrt(700) - sqrt(700))**2 - (-2 + ((sqrt(700) + sqrt(700) + -4 - sqrt(700) - sqrt(700)) + -3)**2)).\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -13*o**3 + 24*o**3 - 8*o**3.\nAnswer: 3*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round 4152 to the nearest 100.\nAnswer: 4200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -111 - -11001101?\nAnswer: 11000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d = -x + 5, 5*d - 4*d = 3*x - 15. Let v = 3 + -3. Suppose v*m - 135 = -x*m. What is the highest common divisor of 3 and m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z + 5*t - 110 = -140, -5*t - 15 = -2*z. Solve -3*j = z*j - j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 20 - 19.99999955. What is a rounded to 7 decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-6)\/(-9) + 97\/3?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 84 - 84 + 39*d**2 + 2*d**3.\nAnswer: 2*d**3 + 39*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = 9*m**2 - 3 + m**3 + 0*m**2 + 2*m + 5*m + 0*m. Let v be p(-8). Suppose f + f = n - 26, -5*f = v*n - 175. Is 16 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) be the second derivative of -x**4\/42 - 44*x**3\/21 + 45*x**2\/7 + 7*x - 3. Factor p(z).\nAnswer: -2*(z - 1)*(z + 45)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1014040 and 61495.\nAnswer: 1255","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (9 - (-17 - -3)) + -114 - -23.\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 11 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 15 and 60?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2 - 2 + 16*j**2 - 67*j + 24*j wrt j?\nAnswer: 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = o**3 - 14*o**2 + 19*o - 13. Let s be q(13). Is 2\/10 + 20592\/s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) be the second derivative of 1\/2*k**3 + 5*k + 0*k**2 + 0. Let t(h) be the third derivative of -h**5\/10 - 2*h**2. Calculate s(t(z)).\nAnswer: -18*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -16 - -11. Let j(s) = 3*s**2 + 6*s + 3. Does 24 divide j(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 2483.0000997 + -2483. Round v to 4 dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -330\/17 or -19?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r = -2*b + 4*b + 33, 2*b = 5*r - 35. Let l(i) = i - 2. Let a be (0 + 1)\/(-1) + 4. Let o(k) = -a*k - 4*k + 15 + k. What is b*l(w) - 2*o(w)?\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 380, -2\/137, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13 - 59 = -6*j + 54. Solve -j*d - 25*d = 276 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = v**3 - 11*v**2 + 7*v - 3. Let h be (12 - 23)*1*-1. Is q(h) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 4893 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00009852585549 rounded to seven dps?\nAnswer: -0.0000985","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 406\/84 + 154\/(-33). Let g = -3.2 + 3. Which is the biggest value?  (a) -0.4  (b) -1  (c) z  (d) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.12?  (a) -1726  (b) -0.2  (c) 2  (d) 0.4  (e) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4043650 is divided by 2033?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*a + 2*a - 8*a)*(95 + 83 - 145).\nAnswer: -363*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 846 and 595026.\nAnswer: 27966222","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express 85*a - 1 + 3 - 2 in the form m + c*a and give c.\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 6\/(-3) + 8\/(-8)*121. Let s = k + 132. Solve -4 + s = 5*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (2 - 7 - -5) + 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*sqrt(400))\/(sqrt(5) + sqrt(320)*3).\nAnswer: -4*sqrt(5)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*o**5\/3 - 3100196*o**4 - 3604205714406*o**3.\nAnswer: -2*o**3*(o + 2325147)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (37 - 18 + 36)*(h - 5*h + 3*h)*(107 - 107 - 19*h**2 + (-h**2 - h + h)*(3 + 1 - 2)).\nAnswer: 1155*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 55148?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 353 minutes after 2:03 PM?\nAnswer: 7:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) be the first derivative of -u**3\/3 + 3*u**2 + u + 1. Let d be w(5). Suppose h + 20 = d*h. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -2\/13  (b) 4\/7  (c) 9  (d) 1\/6  (e) -5  (f) 2\/95\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) be the second derivative of -h**4\/3 - 5*h**3\/6 + h**2 - 6*h. Let j(d) = -5*d**2 - 6*d + 2. Let a(r) = 2*j(r) - 3*s(r). Give a(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = -m**2 + 6*m + 3. Let h be i(6). Let b(j) = 5 - h - 5*j**2 + j**3 + 1 + 2*j + j. Calculate b(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2860.9068 months in centuries?\nAnswer: 2.384089","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 213315?\nAnswer: 3, 5, 14221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 108 and 540?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 247 is divided by 16?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-2 - -2)*(11 - 10). What is the closest to 1 in -3, i, -2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = -a**3 + a**2 + a. Give u(3).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = -32*b + 463. What are the prime factors of h(-61)?\nAnswer: 3, 5, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do 8938 and 0.438 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j - 4 = -j. Let l(w) = -w**j - 2*w + 4*w + 6*w - 7 + 0*w**2. Determine l(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -145 = 225*n - 3999 - 2896 for n.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = -c**3 + 12*c**2 - 11*c + 6. Let q be t(8). Suppose 4*x + u = q, x + 80 = 3*x - 3*u. Let i = x - 42. What is the greatest common factor of i and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5158669 is divided by 4150?\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = 5*o**2 - 7*o + 1. Let u(f) = 4*f + 3*f**2 - 7*f - f. Let i(q) = 4*h(q) - 7*u(q). What is the first derivative of i(b) wrt b?\nAnswer: -2*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (7 - (-17 - -5 - -26)) + 47 + 1\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 121 + -89. Let k be 30\/4*o\/48. Suppose -5*t + 2*d + 38 = 0, t - k = -4*d + 7. Calculate the highest common divisor of 12 and t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = -14*p - 9. Let s(d) = -d**2 + d + 8. Let v be s(0). Let a be 2\/16 - 25\/v. Calculate the remainder when l(a) is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = 117581*n**3 - n**2 + 3*n - 4. Let x be g(3). Let p = x - 1824683. Suppose -p = 3*r + 2*r. What is r rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -2 - -1.9. Which is the second smallest value?  (a) 0.3  (b) -7\/3  (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 81\/26714 and -97\/213712?\nAnswer: 213712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(108) + sqrt(108) + 1*1*sqrt(108) + sqrt(108) + -6*sqrt(108)*-1)\/((-1*sqrt(2904) - sqrt(24))\/(sqrt(30)\/(-1*sqrt(5))))*-5.\nAnswer: -25*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 0.177 * -11\nAnswer: -1.947","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*y - l = 16, 3*y = -5*l + 3 + 5 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 40 and 136.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in -0.3, -0.5, 50, 3\/5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o*o**10\/o)\/o*o\/((o\/o**(-2\/35))\/o)*(o*o\/(o*(o\/(o*(o\/(o*(o*o**(-1\/9))\/o)*o*o)\/o*o))\/o))\/(o*o\/o**(1\/2)) assuming o is positive.\nAnswer: o**(7909\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round -1.3100447 to 1 dp.\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is (-41)\/(-82)*8\/28?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = -11*o**2 + 5*o. Let i(n) = 5*n**2 - 2*n. Calculate 6*a(z) + 15*i(z).\nAnswer: 9*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1975 is divided by 1946.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 8\/(-2)*8\/(-48)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -232149 (base 11) to base 4\nAnswer: -1122003131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = -39*m**3 + 2460*m**2 - 166*m - 1399. Determine z(63).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = 2*y**2 - 113*y + 57*y + 56*y. Let j(i) = 16*i. Determine n(j(v)).\nAnswer: 512*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence wws when three letters picked without replacement from sssswwwswswswsswwsws?\nAnswer: 11\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -7017 or -6410?\nAnswer: -7017","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2*v**4 + 3215*v**2 - 2*v + 14599.\nAnswer: -24*v**2 + 6430","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 28 and 888356?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -2316, -2112, -1908, -1704, -1500?\n\"Answer: 204*k - 2520","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = r**3 + r**2 - 2*r. Let v(i) = -686*i**3 - i**2 + 8*i - 102. Let c(o) = -4*m(o) - v(o). Find the third derivative of c(u) wrt u.\nAnswer: 4092","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i = 5*i - 10. Solve 16*t - i = 79 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/21 in 1\/3, -71, -4, -29?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 6046*(-4)\/(-32) - (-3)\/(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from tdctttc. What is prob of picking 1 d and 2 t?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f - 3*y + 28 = -7*y, -5*y + 15 = 5*f. Let u(s) = -8*s**3 + 5*s**2 + 0 - 5 + 9*s**3 - 9*s**2 + s. What are the prime factors of u(f)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -1 + 1 + 3 - -1. Let g be (-4 - -88 - f) + 4. What is the least common multiple of (20\/(-15))\/((-8)\/g) and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + (-1*(-1 + sqrt(125))*3 - (-1 + (sqrt(5) - (sqrt(5) + 0)) + 0)*-4).\nAnswer: -15*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) be the first derivative of f**5\/50 + 4*f**4\/5 + 64*f**3\/5 + 512*f**2\/5 + 34*f - 19. Let b(z) be the first derivative of v(z). What is q in b(q) = 0?\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, -42, -52, -4054 in decreasing order.\nAnswer: -1, -42, -52, -4054","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 39*k + 28*k + 4*k + 40 = 324. Factor 3\/4*m**2 - 21\/4*m**3 - 21\/2 + 61\/4*m - 1\/4*m**k.\nAnswer: -(m - 1)**2*(m + 2)*(m + 21)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.4, 0.1, 1\/5, 0.5, -6 in descending order.\nAnswer: 0.5, 1\/5, 0.1, -0.4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3\/(94\/(9588\/(-5049)))?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-6)\/(-156))\/((9\/((-540)\/(-4)))\/(8\/12))?\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 8305 and 55.\nAnswer: 8305","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -32 - (-8 + 41 - 80)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -94.9 + 98.79. Let w = b - -0.11. Let q be 1\/(5*(-3)\/6). Which is greater: w or q?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8663 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -10007 - 4?\nAnswer: -10012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 331189714 + -0.4?\nAnswer: 331189713.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Does 3 divide 172770780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 36 and 14?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 480 and 64?\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 586158, 1172405, 1758652, 2344899, 2931146, 3517393?\n\"Answer: 586247*j - 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 26 + 2077*f + 29*f**4 - 2077*f wrt f?\nAnswer: 116*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 398.\nAnswer: 2, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = d**2 + 14*d + 18. Let a be p(-13). Suppose 5*o = -3*n + 101, a*o - 133 = -7*n + 3*n. Let k = 136 - n. Is 13 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -9108 - 0?\nAnswer: -9108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = -a**2 + 15013*a + 647407. Give l(-43).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 82 a factor of 1230?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 2  (b) -0.4  (c) -2  (d) 370  (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 2518891 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -788, -827, -866?\nAnswer: -905","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 82 a factor of 7462?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1 = -78*d + 38*d - 1109 - 292 for d.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 32998.4 decades?\nAnswer: 3959808","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 51 divide 680034?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-4)\/(-18))\/(80\/(-720)). Sort -1, q, 96, 5, 2 in ascending order.\nAnswer: q, -1, 2, 5, 96","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -11122200331 (base 4) in base 12?\nAnswer: -585451","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -3 - (-4 + (0 - -4) - 2)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 156\/238 - ((-15)\/28 + (-249)\/(-996)). Suppose -2\/17*u**2 - i*u - 14\/17 = 0. Calculate u.\nAnswer: -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1 divided by 10468\nAnswer: 1\/10468","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s + 60 = 264. Let m = 55 - s. Suppose u - 5*u + 2*g = 34, 0 = -g + 3. Sort m, u, 1.\nAnswer: u, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (1\/(-3))\/(-2 + (-2391)\/(-1197)).\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = -y**3 + 7*y**2 - y + 11. Let l = 33 - 21. What is the smallest common multiple of t(7) and l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = 1 + 1 + 6*k**2 - 11*k**2. Let r(c) = 14*c**2 - 6. Let l(w) = 4*r(w) + 11*x(w). Let z be l(-2). Solve -z + 17 = 3*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 1, -1, -117, 0.14, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*l - 7 = -5*u - 3, 2 = -2*u + 3*l for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2*f**4*m - 890*f**3*m + f*m - 694 wrt f.\nAnswer: 24*f**2*m - 5340*f*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 19122720 divided by 3824544\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 11 + (0 - 3\/(-3)). Suppose 0 = 19*z - 318 + 204. What is the highest common factor of z and a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -1\/16, 1, 0.1, 13, 0.4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 481*c = 477*c + 40. Calculate the greatest common divisor of c and 70.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 296477 is divided by 4530.\nAnswer: 2027","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 31\/1105 and -109\/19313700?\nAnswer: 251078100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -161949\/5 - -32390. Solve 0 - u*s**2 - 28\/5*s = 0.\nAnswer: -28, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -250 + 250.25. Which is the smallest value?  (a) 3  (b) r  (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*k + 20 = -7*k. Suppose -56 = -4*f - q, 5*f - k*q - 14 = 4*f. What is the least common multiple of 18 and f?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1112*i = 1132*i - 80 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((6 - 3 - 4)*(4 + 3 + 1) + (1 - 1 + 1)*(-1 - 1 + 1) - 2 - 1 + 1)*(1220*m**4 - 676*m**4 - 975*m**4).\nAnswer: 4741*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*b + 15 = -2*b. Let z = 34 + b. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 104702 greater than 104674?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.61 and -63?\nAnswer: -38.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:58 PM and 6:36 AM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -101 = -8*b + 5*v, -391*b + 395*b + 3*v - 6*v - 49 = -2*v for b.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1088821050?\nAnswer: 2, 3, 5, 7258807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + (0 + 4 + -4*-6*(sqrt(72) - sqrt(72)*-2)*-3 + -1)**2.\nAnswer: -7776*sqrt(2) + 3359242","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000003251 rounded to 7 decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*z - 28 = -23 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 - 10 = -4*w. Let x be ((-40)\/6)\/(4\/(-6)). Suppose 0 = 4*o + 5*k - 113, -o + k + 7 = -x. Solve o = 5*h - w for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -342*i - 1701 + 27443 - 776 = 0 for i.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -14506686 (base 9) in base 14?\nAnswer: -d59228","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(243) + -1)**2*2 - (sqrt(15)\/(sqrt(5)*1) + sqrt(3) - sqrt(3))*3.\nAnswer: -39*sqrt(3) + 488","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 690\/(-1265) + (-9304)\/(-11088) + (-4)\/18\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) be the third derivative of 0*y - 5\/24*y**4 + 0 + 1\/12*y**5 - 3*y**2 + 1\/6*y**3 - 1\/120*y**6. What is v(4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many weeks are there in 69967.9512 nanoseconds?\nAnswer: 0.00000000011568775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -14 + 18. Let z = -46 + 231\/5. Sort -0.1, z, -4, u in ascending order.\nAnswer: -4, -0.1, z, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0003883151 rounded to six dps?\nAnswer: 0.000388","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = v**2 - 8*v - 13. Calculate w(9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 96, 1684, 4352, 8100, 12928, 18836, 25824?\n\"Answer: 540*i**2 - 32*i - 412","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 times 0.9488?\nAnswer: -3.7952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 91277 is divided by 8720?\nAnswer: 4077","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 902 + -864. Let i = 363 - a. Calculate the highest common divisor of 65 and i.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c + 25 = 5*d, -d + c - 10 = -5*d. Suppose 5 = d*f - 7. Solve -f*h - 3*g = h - 9, 0 = 5*g + 10 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**3\/(((o*o**(-6)\/o)\/o)\/o*o))\/(o**(-1\/4)\/o*o)**(-25)*(o*o**(-2\/3))**48*(o*o**(-1\/7))\/o**(2\/5) assuming o is positive.\nAnswer: o**(2829\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 751895 is divided by 86.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x - 4*q = -7*q + 3, 5*x + 5 = -3*q. Let j be 2 + x - ((-5)\/(-1))\/(-5). Suppose 405 = 5*h - 5*t, -78 = -2*h + h - j*t. List the prime factors of h.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 46535471 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q = 44 - 156. Calculate the common denominator of 1\/(-3)*987\/q and 35\/8.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*c**2 + 0*c**2 + c**4 + (2*c - c + 0*c)*(c**3 + c - c) - 23*c**4 - 96*c**4 - 84*c**4 + 4*c**2 - 4*c**2 + 2*c**4.\nAnswer: -199*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = -14064*v**3 - 6*v**2 - v - 4. Suppose i = -0*i. Let n be -2 + (i + 1)*-2. Let g be r(n). What is g rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = o**3 + 9*o**2 - 3*o - 1. Let v be m(-9). Suppose -l = -q - 6*l + v, 5*l = 2*q + 8. Let z(r) = 7*r + 2 - 1 - q*r + 1. Give z(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = 2*w + 16. Let g be v(-7). Suppose -2*l + 1 + 3 = 0. Let o(j) = -g*j**2 + 6*j**2 + j**l. Let z(a) = 2*a. What is o(z(r))?\nAnswer: 20*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 22\/11*6\/42.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 84 - 83. Suppose -c = 4*w - 17. Solve 4*f = -12 - w for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 544 - 220. Let u = x + -93. What is the hundreds digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -51541*o + 43286 with respect to o.\nAnswer: -51541","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = p**3 + 23*p**2 + 22*p + 7. Let o be k(-22). Solve 3*l + o*l - 46*l**2 + 25 + 47*l**2 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = 3*g - 5. Let r(t) = -30*t**2 + 3*t + 3. Let h(w) = -w**2 + 1. Let l(p) = h(p) - r(p). Calculate the remainder when l(g) is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -6 - -9. Suppose -4*h + 11 = 3. Differentiate m*w**2 + 2*w**h - w**2 + 4 wrt w.\nAnswer: 8*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h - i + 0 = -16, 5*h + 2*i = 12. Let x(m) = 3*m**2 - 5*m. Calculate the remainder when 83 is divided by x(h).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-3)\/(-2)*4\/3. Factor 6*r + f*r**3 + 23*r**2 - 2*r - 17*r**2.\nAnswer: 2*r*(r + 1)*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 362800299 to the nearest integer?\nAnswer: 19047","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -3.519 + 0.519. Let b = -394 + 1976\/5. What is the smallest value in -0.1, v, b?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = 34687*x**2 + 50*x. Let g(o) = -o. Determine i(g(b)).\nAnswer: 34687*b**2 - 50*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.246 at most -3.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 40 and 210550?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-2 + 0 + -1)\/(-5 - -4). Let c = -3 + 3. Let k = 7 + -5. Solve o + 4 = -k*h, -2*h - q*h = c for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express ((-2 - 1 + 1)*(3 - 20 - 5) + (-1 + 1 - 6)*(0 + 0 + 1)*(2 + 13 - 9))*(2*f - 3*f - f) in the form x*f + c and give x.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 13\/164 and -23\/83886.\nAnswer: 167772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many millennia are there in 1194.66 decades?\nAnswer: 11.9466","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -12.02026 + 0.15926. Let l = -10.31 - c. What is l rounded to 2 dps?\nAnswer: 1.55","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*f + 26 + 31. Suppose 9*c - 10*c + 308 = 0. Let k = c - f. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 183 is divided by 162?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 + (1 + -9 - (-12 - -7)) - 12.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -0.0196 times -0.071\nAnswer: 0.0013916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 57\/2 of a micrometer?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) be the second derivative of -2*j**6\/3 - 4*j**3\/3 + 10*j. Find the second derivative of h(n) wrt n.\nAnswer: -240*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -1142947*m**3 + 1527124 wrt m.\nAnswer: -3428841*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-2 + 4)\/(4 + 4) - (-1016)\/32. Solve b*i - 34*i - 12 = 0 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = -17*m - 135. Let p be q(-12). Suppose -41*r - 140 = -p*r. Solve 0 = -3*c + 4*l + 1, -10 = -c + 5*l + r for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-24)\/(-88)*(-2)\/(-6)?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 66.5 - 66.3. Do -3.008 and w have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 != 465069?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -11110000000110100 - 11?\nAnswer: -11110000000110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 n and 1 k when three letters picked without replacement from {k: 5, n: 2}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*z**4 + z**4 + z**4 + (2*z - 2*z + z**3)*(z + 1 - 1) - 2*z**4 + 2*z**4 + z**4 - 46*z**4 - 33*z**2 + 33*z**2)*(28*z - 18 + 29 - 10).\nAnswer: -1176*z**5 - 42*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 62 - 179 - 2*y + 61 + 56.\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 2383 and 10533?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find y such that 2*y**3\/5 - 136*y**2 - 1013494*y\/5 - 189276108\/5 = 0.\nAnswer: -313, 966","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = -h + 3*m, 2*h - 4*m = -2*h + 4. Suppose -h*y = -10*y + 168. Calculate the highest common divisor of y and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:27 PM and 8:56 PM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 1656136409 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sum -0.2 and -2.32686787.\nAnswer: -2.52686787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*w + 2*b + 158, -b + 32 + 65 = 3*w. Suppose 5 = 4*o + 1, o + 2 = -3*d. What is the remainder when w is divided by 10 - (-1 + 1 + d)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.5 + -155.14157971?\nAnswer: -155.64157971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-94)\/(-752))\/(9\/(-8))?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = -s**3 - 4*s**2 + 5*s + 2. Let q be f(-5). Suppose 0 = q*m + 3*m - 15. Suppose 0 = m*j - 4*j - 2*t + 19, 2*t + 31 = j. Does 16 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 91 at most 739\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 408 - 164. Calculate the remainder when 219 is divided by (6\/(-9))\/2 + u\/12.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -11 - -201?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -195*p**3 + 108*p**2?\nAnswer: -1170","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n + 4 - 8 = 0. Suppose 0 = -n*z + 3*z. Let i be z\/1 - (-2 + 33\/18). Which is the biggest value?  (a) 3  (b) 1  (c) i  (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2*(-2)\/140 - (-6)\/15.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 191153657.\nAnswer: 31, 6166247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((9\/3)\/(-15))\/1.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((-2*sqrt(275) + sqrt(275))*6 + sqrt(275) + sqrt(275) - (5 + 2*sqrt(275) + sqrt(275)))*4*-3 + 0)**2 + -2.\nAnswer: 50400*sqrt(11) + 1943998","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = -s**2 + 7*s - 1. Let g be j(6). Suppose -2*f = 2*f + 4*i - 36, 5*i = f + 3. Let q(p) = 10*p + f*p - 18*p. Determine q(g).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 = 3*g - 5, 0 = -3*b + g + 11. Suppose b = -k - 0, -2*t = -2*k - 14. Solve t*q + 3*q - 5 = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 421 minutes before 12:45 PM?\nAnswer: 5:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*t - 6, 8 = v + 5*t + 3 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 5698373 to the nearest integer?\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) be the second derivative of -b**3\/2 + b. Let h = 39 - 34. Let s(g) = 2*g. Let k(d) = h*c(d) + 8*s(d). Let f(p) = 9*p**2. Calculate k(f(y)).\nAnswer: 9*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4619898.\nAnswer: 2, 3, 256661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d + 125 = -6*d. Suppose -27 = -5*x - 4*t + 11, 4*x - 4*t - 52 = 0. What is the units digit of (40\/d)\/((-2)\/x)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1130230.2600149 - -1130230. Let k = r + 0.26. What is k rounded to six dps?\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:02 PM and 5:35 PM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = w**3 - w**2 + 2*w - 2. Let x(i) = -103*i**3 + 6*i**2 + 3*i + 8. Let q(h) = 4*r(h) + x(h). Find the third derivative of q(v) wrt v.\nAnswer: -594","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = 23*x + 299. Give d(-15).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 25585 and 340?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -18490, -31949, -45408?\n\"Answer: -13459*w - 5031","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q = -3*w + 3, w - 2*w + 9 = 3*q. Suppose 2*h - s - 53 = 0, -2*h + 5*s = w*h - 145. Is h a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = -12*k + 5. Let l be u(2). Let t = 12 + l. Let y = t - -10. What are the prime factors of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/(6\/(-5))*(-24)\/30?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -48 - -52. Suppose h = -0*h - m + 2, 3*h + w*m = 5. Solve -3*v + 4*v + h = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 18519 is divided by 27?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y = -g + 7*y - 219693, -3*g = -5*y + 659086. Let h = g - -117197. What is h rounded to the nearest 10000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -54 times -25.249\nAnswer: 1363.446","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 428?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (46\/(-4))\/(-3 + 1038\/348).\nAnswer: 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 421776 is divided by 1622.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 8*h**3*p**2 + 6*h**3 + 34*h**2*p**2 + 3322*h**2*p - 4*p**2 wrt p?\nAnswer: 16*h**3 + 68*h**2 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = -5*j + 8*j + 1 - 5. Let z(u) = 16*u - 8. Let v(m) = -5*m + 3. Let a(r) = -7*v(r) - 2*z(r). Calculate -3*a(t) + 4*b(t).\nAnswer: 3*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) be the first derivative of 1\/2*v**2 - 72 - v. Let o(j) = -2*j + 3. Suppose 25 = -6*y + y. What is y*r(a) - o(a)?\nAnswer: -3*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + (sqrt(17) - (sqrt(2448) - (1*sqrt(2448) - sqrt(2448)))).\nAnswer: -11*sqrt(17) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate v**2 - 13720477*v + 13317061.\nAnswer: 2*v - 13720477","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1603321702 = 8*g + 486355838. Suppose g - 38700733 = -12*q. What is q rounded to the nearest one million?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6090625.\nAnswer: 5, 1949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + 2 + 2)*(9 + 269*x**2 - 269*x**2 - 2*x**4).\nAnswer: -12*x**4 + 54","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 27 + -26.6. What is the nearest to -0.4 in -3, m, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor f**2 - 17*f - 60.\nAnswer: (f - 20)*(f + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 36*t = 25*t. Let d(m) = m + 4. Let a be d(-3). Solve -k = -v, 3*v + t*v = 4*k + a for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 1\/7, -188, -0.18, -2\/45, -2, 1.2?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 322 and 4893?\nAnswer: 225078","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = 6*s**5 - 2*s**4 - 7*s**3 + 3*s**2 + 8*s - 8. Let r(j) = j**5 - j**3 - j**2 + 3*j - 2. Let a(f) = -g(f) + 5*r(f). Factor a(x).\nAnswer: -(x - 1)**4*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -278810, -278939, -279082, -279245, -279434, -279655?\nAnswer: -279914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = -4*z**2 + 56*z - 12 + 5*z**2 - 61*z. Let n be t(7). Calculate the highest common factor of n and 22.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -332939\/7 + 47565. Factor 0 + 6\/7*o - p*o**2.\nAnswer: -2*o*(8*o - 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 20.82288 to two dps.\nAnswer: 20.82","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2 in -0.5, -3\/2, 1\/2, 0?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000011412809 rounded to 6 dps?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -1  (b) -1632  (c) 2  (d) 0.09  (e) -0.4  (f) -0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3.113673 litres to millilitres.\nAnswer: 3113.673","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = -h**3 + 8*h**2 - 8*h + 9. Let c be v(7). Suppose 3*j - 345 = -c*j. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify y**(5\/6)\/y*y*y*y*y*y\/(y*y**(-1\/5))*y*y*y*(y**(2\/7))**1 assuming y is positive.\nAnswer: y**(1537\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = 5*j**2 - 4*j - 6. Let u(o) = o**2 - o. What is -6*u(t) + w(t)?\nAnswer: -t**2 + 2*t - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = -6*o - 42. Let h(x) = -1. Let k(l) = -84*h(l) + 2*m(l). Let t(q) = -2*q**2. Calculate t(k(v)).\nAnswer: -288*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 674 and 2422356.\nAnswer: 674","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) be the first derivative of -u**4\/2 + 5*u**3\/3 + 3*u**2\/2 - 3*u + 210. Give g(4).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 210231467 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) be the second derivative of -m**4\/2 + m**3\/6 + 5*m. What is the second derivative of x(r) wrt r?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 81071 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*r = -7*z - 61, 3*z + 37*r + 25 = 35*r for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s - 3*v - 7 = 0, 3*s + v - 3 + 0 = 0. Suppose s*d = -0*d + 4*w + 4, 5*d = w + 10. Calculate the greatest common factor of d and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 55540 divided by -5\nAnswer: -11108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 s and 1 k when two letters picked without replacement from sskskkss?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = -9*n**3 + 21*n**2 - 8*n - 15. Let b(g) = -5*g**3 + 11*g**2 - 4*g - 8. Let x(i) = 11*b(i) - 6*o(i). What is x(-6)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (7 + -4)\/((-3)\/(-2)). Let v(n) = -48*n - 6*n + n + a + 0*n. Let b(k) = 15*k + 6. Let j(c) = 22*c + 9. Let w(r) = 3*b(r) - 2*j(r). Calculate v(w(h)).\nAnswer: -53*h + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2079920*q**5 + 776876*q**2 wrt q?\nAnswer: -124795200*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = -2356*j**3 - 3*j - 17 - 10*j**2 + 0*j**2 + 2355*j**3. Calculate v(-10).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3251 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = 5 + 5 - 6 + n**2. Let r be b(6). Let p be (16\/r)\/(2\/35). Calculate the highest common factor of 56 and p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {h: 2, a: 1, e: 1, m: 3}. Give prob of sequence ema.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -18 - (0 + -7) - -5 - -12.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 630 minutes before 11:58 PM?\nAnswer: 1:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = g**3 - 10*g**2 - 4*g + 122. Let k be l(9). Let x be ((-36)\/90)\/(7\/k). What is the second smallest value in 5, 2, x, -0.5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = 3 + 0*g + 0*g - 4*g + 5*g**2. Let c(x) = -x**2 + x. Let y(l) = -4*c(l) - v(l). What is the first derivative of y(z) wrt z?\nAnswer: -2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a - 70 = -5*v, -a = -v + 10 + 6. What is the highest common divisor of v and 88?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = 13*b**2. Let l(y) = -6*y - 4. Let c(w) be the first derivative of 11*w**2\/2 + 7*w - 13. Let a(i) = -4*c(i) - 7*l(i). Determine t(a(h)).\nAnswer: 52*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 14061?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 3 - -1211310110?\nAnswer: 1211310113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from rkkkkrk. What is prob of sequence krk?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 22 take away 1602684?\nAnswer: -1602662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) be the second derivative of -v**5\/20 + 10*v**4\/21 - 23*v**3\/42 - 5*v**2\/7 + v - 183. Find k such that r(k) = 0.\nAnswer: -2\/7, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (42*y**4 + 2*y**4 + 3*y**4)*(2*y + 0*y - 3*y)*(2 - 2 + 2).\nAnswer: -94*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {i: 1, t: 3, y: 1, f: 7, z: 3, b: 2}. What is prob of picking 2 t and 1 f?\nAnswer: 21\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express (4 + 6 - 1 - 3)*(-2*k - 12*k - 9*k)*(0*k + 4*k - k) in the form o + j*k**2 + g*k and give j.\nAnswer: -414","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -435438403*h**3 - 486687169*h?\nAnswer: -2612630418*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = q**2 + q + 37. Let t = 1 - -4. Let i(k) = -k**2 + 5*k. Let u be i(t). Is s(u) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -228 - -242.3. Let k = x + -11.35. Let f = 1.42 - k. Round f to 1 dp.\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -122.6 + 123. Which is the second smallest value?  (a) h  (b) 0.02  (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 10*i + 7*i - 120173. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -16278 and -2.9?\nAnswer: 16275.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*f**4\/19 + 84784*f**3\/19 + 898879904*f**2\/19 + 7186970112*f\/19 + 14371227648\/19.\nAnswer: 2*(f + 4)**2*(f + 21192)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*b - g - 10, 26 = b + b - 5*g. Solve b*y - 10 = -2*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in three eighths of a meter?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = -3*h - 2. Let w be z(1). Let n(o) = o**3 - 5*o**2 - 7*o - 3. Let t(k) = -k**3 + 7*k**2 + 10*k + 4. Determine w*t(j) - 7*n(j).\nAnswer: -2*j**3 - j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2127435?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1890, 1897, 1906, 1917, 1930, 1945?\nAnswer: 1962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 104637653 and 811.\nAnswer: 811","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j - 10 = j. Let z(h) = -h**3 - 4*h**2 + 5*h + 7. Let t be z(j). Is 4 at most t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1324513?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p - u + 18690 = 0, -18698 = -2*p - 57*u + 60*u. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -183 = -4*m + u, 3*u = -2*m - 18 + 127. Let c = -26 + m. List the prime factors of c.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q = -2*p - 31, 2199*q + 3*p + 24 = 2204*q. Sort -3, q, 7 in decreasing order.\nAnswer: q, 7, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f = -b + 4*b - 11, -b + f + 5 = 0. Let y(i) = -i**2 - 2*i - 3. Let w be y(b). Let a be 38\/(-9) - 4\/w. Let l(r) = -r**3 - 5*r**2 - 4*r - 3. Give l(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 1\/(-2) + 1\/(-2). Suppose 5*q - 4*x = 68, 3*x + 0 = -6. Suppose 0 = q*t - 9*t. Sort t, i, 3 in increasing order.\nAnswer: i, t, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 1\/3, -1.274, -1\/4?\nAnswer: -1.274","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*o - 3*o + 532 = 0. What is the remainder when 160 is divided by o?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = 2*j**3 + 3*j**2 + 3. Let a(v) = 8*v**3 + 11*v**2 + 11. Suppose 18*h = -8*h + 572. Let g = -2 - 9. Let c = g - -5. Determine c*a(q) + h*z(q).\nAnswer: -4*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange y**3 + 0*y - 2*y + y**3 + y**3 to the form a*y + h*y**3 + j*y**2 + l and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -22\/567 and -57\/2086?\nAnswer: 168966","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -0.642696+-320.271779\nAnswer: -320.914475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Divide 329 by 329.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4236.\nAnswer: 2, 3, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.018 in 3\/7, 1\/8, -0.5, -2\/5, 73?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 6 + -200147?\nAnswer: -200141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2\/(-10))\/((-4478)\/(-470190)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 j and 1 u when four letters picked without replacement from jjjjhjujjguqhjujj.\nAnswer: 18\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -10110111 + -11?\nAnswer: -10111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18 = f - 4*f. Let p be (8\/f - -1)*-3. Suppose v - 1 = 2. Which is greater: p or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16284 = 3*q + 3*f, 27*f + 10866 = 2*q + 24*f. What is the greatest common factor of 30 and q?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -256 - -255.99992628. Round m to six dps.\nAnswer: -0.000074","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1824 and 133?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 16201?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*s - 9, 4 = -m - 5*s - 7. Suppose 14*d + 5*d = -9728. Let t = d + 517. Solve m*j + 13 = -3, -t*o + 28 = -2*j for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 158129 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4970989294.\nAnswer: 2, 37, 233, 288307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 2273.977793 rounded to the nearest one hundred?\nAnswer: 2300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 + 5 = -n. Let r(o) = -6*o + 2*o - 3*o - o**2. Let t be r(n). Let x(h) = -h**3 - h - 7. Calculate x(t).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = c - 12. Let k be g(10). Let j = -0.104 + 0.604. What is the closest to -0.1 in k, 0.3, j?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 h and 2 p when four letters picked without replacement from {h: 6, t: 1, o: 3, z: 3, p: 2}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -0.2  (b) 4  (c) -3  (d) -11  (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 2288 and 3096236.\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = 29*y - 93. Let z be x(-21). Let c = 2926 + z. What is c rounded to the nearest 100?\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) be the second derivative of -5*a**7\/21 + a**4\/2 - 15*a. Find the third derivative of t(w) wrt w.\nAnswer: -600*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1 + (-5 - (3 + -14))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*a = 2*o - 14, -4*o + 31*a + 136 = -13*a for o.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 6744 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: Let c = 169 + -166. What is the closest to 8 in -0.4, -0.3, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g = -5*i + 2*g + 78, -2*g - 77 = -5*i. Let y(x) = 4*x + 3. Calculate the remainder when y(5) is divided by i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 88 and 196976?\nAnswer: 2166736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 31 = 3*j + 4*a, 3*a = -5*j - 2*a + 45. Suppose -2*u = -n - 4*u + 371, 2*u = -j*n + 1855. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 2*n*s - 5659*n - 12320*s**2 wrt s?\nAnswer: 2*n - 24640*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.163, -0.4, 5\/3 in increasing order.\nAnswer: -0.4, 0.163, 5\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (0\/2)\/((-12)\/(-6)). Let x(f) = z*f + 0 - 3*f + f**2 - f + 3. Determine x(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = 66*z. Let y(v) = -2*v**2 - 433953*v. Give y(u(t)).\nAnswer: -8712*t**2 - 28640898*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1323 and 54?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = -4*v**4 - 4*v**3 + 8*v**2 - 6*v + 6. Let x(z) = 12*z**4 + 12*z**3 - 24*z**2 + 17*z - 17. Let l = 17 + -11. Let j(u) = l*x(u) + 17*k(u). Factor j(d).\nAnswer: 4*d**2*(d - 1)*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 2 - -33?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = -v**3 - 5*v**2 - 13*v - 7. Let n be (-30)\/3*(-1)\/(-2). Let o be i(n). Is (2 + -1)\/(1\/o) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find o such that o**3 + 14*o**2 - 31*o + 16 = 0.\nAnswer: -16, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 31043 to the power of 1\/2, to the nearest integer?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*j + 14 - 6. Let f be 1\/2 - 1518\/j. Round f to the nearest 10.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 108755 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 10065 and 244.\nAnswer: 40260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 2563198 a multiple of 526?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 42\/(-12)*(-18)\/252*222\/6*-4?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -3670, -14671, -33006, -58675, -91678?\n\"Answer: -3667*h**2 - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-1)\/(-3)*3*-3. Let x be (-2)\/((10\/l)\/5). Solve -4*s - 2 = x*w - 0*s, -3*s = -2*w - 7 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = 5*d + 5. Suppose -x = 2*w - 5, 2*w - 4 = w - 2*x. Let a(v) = -27*v - 25. Let c(g) = w*a(g) + 11*r(g). Give c(6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.183 - -1.261. Round r to zero decimal places.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + (sqrt(1700) + 1)*5.\nAnswer: 10 + 50*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -2 - 0. Let z be (-3 - -3)\/(2 - 0). Suppose z*o + 5*o = 20. What is the closest to 0 in o, s, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -274 - -203666?\nAnswer: 203382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -3*(((-44)\/6)\/(-2) - 1). Let k(i) = -i**2 - 8*i + 2. List the prime factors of k(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -r**2\/4 - 131*r\/2 - 261\/4.\nAnswer: -(r + 1)*(r + 261)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11*v - v - 20 = 4*i, -35*i + 11*i = -2*v - 102 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q - 2*q = -44. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 607b - -b?\nAnswer: 6086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*s = 356 - 1031. Suppose -f + s + 55 = 0. Is 26 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 14 + 6*h**4 + h**3 - 14 + (-3 + 7*h - 7*h + 2*h**2)*(2*h**2 - 2 + 12 + 2*h - 7) in the form c*h**4 + z*h**3 + t*h + m + k*h**2 and give m.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 2 - -2. Suppose 5*g - 38 = -l + 19, -f*l = -5*g + 47. Is g a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 52 minutes after 4:56 PM?\nAnswer: 5:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is -2868 <= 1418?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(270)*2)\/sqrt(6))\/(sqrt(63)\/(sqrt(7) + sqrt(21)\/sqrt(3))) - (-4*(-5 + sqrt(10)\/sqrt(2))*-5)**2) + 5.\nAnswer: -11995 + 4004*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8 - 27 = j + 40*f, 20 = 3*j - 5*f for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -2451, -2453, -2455, -2457?\n\"Answer: -2*z - 2449","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -4*1\/(-4) - -13. What is the greatest common divisor of 112 and d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f - 12 = 0, 0*f = -2*k - 2*f + 580. Let i = -286 + k. Solve -1\/4*m**3 + i + 1\/4*m + 0*m**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -37\/90 and 89\/24.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence yyy when three letters picked without replacement from eeeeyeyxqeyeqwqwyee.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -8 - -6. Let o = 0 - f. Let l = -0.4 - -0.2. What is the third smallest value in o, l, -1\/3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(6)\/(2*sqrt(3)*6).\nAnswer: sqrt(2)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from pcpqqhkphhjcjch. What is prob of picking 3 p?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = 9*m**2 + m - 2. Let p be h(1). Solve 2*g + 2*g = p for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = 8*m**3 + 78*m**2 + 20*m + 6. Let j(o) = 15*o**3 + 156*o**2 + 37*o + 11. What is 6*j(g) - 11*k(g)?\nAnswer: 2*g**3 + 78*g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 6 - -7. Let v = -69 + 129. Suppose 4*t - t = 2*h + 35, 4*h - v = -4*t. Calculate the highest common divisor of c and t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10497 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 103564 is divided by 1151.\nAnswer: 1125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) be the first derivative of n**4\/2 + 8*n**3\/3 + 1. What is the third derivative of t(i) wrt i?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-4)\/(-6))\/((-91)\/39).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 122844 divided by 4.\nAnswer: 30711","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 a factor of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -22684*w + 22792*w + 272 = 6104 for w.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: ((-36)\/28)\/((-210)\/196)\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 3\/8 of a tonne?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 100878 to the nearest integer?\nAnswer: 318","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -33141 (base 6) to base 2\nAnswer: -1000111110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in -5\/4, 0.02, -53, 5?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 15.298 - -0.002. Let y = p - 15. What is the third biggest value in 2\/3, 1\/2, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = -f**2 - 19*f - 46. Suppose -3*x - 42 = 2*z, 34*x + 83 = -5*z + 32*x. Determine q(z).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 5a5 - -292?\nAnswer: 867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is (-910)\/140*(-25)\/3575?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 589?\nAnswer: 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -304, -620, -936, -1252?\n\"Answer: -316*t + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 7129515791?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = -7*i. Let s(h) = 2*h + 120. Give k(s(n)).\nAnswer: -14*n - 840","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 4513 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = t. Let p(h) = 19*h - 56. What is p(m(y))?\nAnswer: 19*y - 56","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 166292 and 56?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -84 divided by -196\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f + 2412 = 3*c, 10*f = 5*f - c + 2414. List the prime factors of f.\nAnswer: 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = -370*c + 3. Let p(z) = 184*z - 2. What is -6*g(l) - 11*p(l)?\nAnswer: 196*l + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) be the third derivative of -5*i**4\/12 - 2*i**3\/3 - 9*i**2 + i - 17. What is u(0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -13 + 4511?\nAnswer: 4454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c**3 - 77754471*c**2 + 12*c + 311017884 = 0. What is c?\nAnswer: -25918157, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1034 and 14918354.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -3055 divided by -573\nAnswer: 3055\/573","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 11 + -15. Let z = -3 - l. What is the second derivative of z + b + 4 + 2*b**4 - 5 wrt b?\nAnswer: 24*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-476)\/(-170) - (2 + 1)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1300 (base 8) to base 4.\nAnswer: -23000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*k - 2*k. Let s = 0.19 + -9.19. Which is smaller: s or k?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -225*i - 166*i + 32*i + 28361 = 0. Solve 83*p = i*p + 8 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*o - 4991 = 2*d - 7*o - 4925, -83 = d + 8*o for d.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 0\/7*(0 + 1 + -2). Let x(c) = 23*c. Let b be x(1). Suppose r = d - 25 - b. Is d a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) be the third derivative of 0*d**4 + 0 + 1\/120*d**6 + 8*d**2 - 1\/15*d**5 - 2\/3*d**3 + 0*d. Let c(q) = q**2 - 2*q - 4. Let m be c(4). What is h(m)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10347661 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 1245348 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 995 + 8\/(8\/1). Suppose 13*w - s - 668 = 0. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -6 + -7 + (8 - -3)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 3112 + -3111.998561. What is i rounded to four dps?\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = 5*i**2 + 7*i - 11. Let j be m(3). Suppose -j*v + 396 = -43*v. Calculate the remainder when 86 is divided by v.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 12\/8233, -2, 14.\nAnswer: -2, 12\/8233, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 162 and 926073?\nAnswer: 1852146","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = a - 11. Let h(u) = 996*u - 16434. Let c(p) = 1494*g(p) - h(p). Let t(o) = 3*o. Determine c(t(j)).\nAnswer: 1494*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 29\/2 of a centimeter?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 887816\/(-336) + 2\/14. Let a = c - -2622. Calculate the common denominator of a and 121\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 14847 and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = -56*o + 4. What is the units digit of x(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 6\/45*6*5. Suppose a*o = -r + 2, -r = 2*r - 2*o - 6. List the prime factors of r\/(-3) - 1665\/(-27).\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {j: 19, c: 1}. What is prob of sequence jj?\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 378\/1377*(-174)\/203\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -0.5, 4, 0.5, 8\/21113, 0.2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2\/3 - 1) + 60\/18.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = -w**2 + 11*w + 6. Let k be ((-9)\/(-18))\/((-2)\/(-32)). What is the remainder when 87 is divided by o(k)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 15\/9 + 2\/6. Solve x + 16 = -0*x + 3*t, 4*x + k*t + 8 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 383*d**3 + 3*d - 135*d**2 + 2 + 52*d**3 - 60*d**3.\nAnswer: 375*d**3 - 135*d**2 + 3*d + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -2, -12187, 0, 4.\nAnswer: -12187, -3, -2, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b + 7 = 3*n, -3*b + 11 = 5*n - 4*b. Let a(g) = n*g - g**2 - 2*g. Let r(d) = -94*d + 294*d - 94*d - 98*d. What is a(r(x))?\nAnswer: -64*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort 41, 2, 1.\nAnswer: 1, 2, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2 in 9, -1.23, -2\/5, -0.2, -1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z = -4*s + 1719, 849 = 2*s - 2*z + z. What is the smallest common multiple of 781 and s?\nAnswer: 4686","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find q, given that -6*q**4 - 1658*q**3 + 92094*q**2 + 534762*q + 167960 = 0.\nAnswer: -323, -5, -1\/3, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -113*i - 800 = 217 for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = 6*j - 32. What is t(5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = a - 3. Determine c(9).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 5950539113 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3*a**2 - 2*a**2 + 3*a**2)*(4*a - 2*a + 4*a)*(4*a - 3*a + a) in the form j*a**2 + l*a + k*a**4 + m*a**3 + z and give k.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 44\/5 of a millennium?\nAnswer: 880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3181*l + 2438*l - 9726*l)*(-2*l - 2 + 2).\nAnswer: 8214*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find c such that -2*c**2 + 10009416*c + 10009418 = 0.\nAnswer: -1, 5004709","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 180 is divided by 94.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) be the first derivative of -1\/2*c**3 + 1\/4*c**4 + 5 - 3*c**2 - 3*c. Let v(h) be the first derivative of l(h). Determine w so that v(w) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 2 divide 716455?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*x + 0*x + x)*(2*x**2 + 3 - 4*x - 27*x + 37*x).\nAnswer: -2*x**3 - 6*x**2 - 3*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 10739 is divided by 1531?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 326*g + g**3 + 304*g - 7 - 2*g**2 + 7 - 83*g to f*g**2 + x*g + v*g**3 + q and give x.\nAnswer: 547","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 0.27485 * -6\nAnswer: -1.6491","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) be the third derivative of -m**4\/12 + 2*m**3 + 2*m**2. Let c be o(6). Solve 4*l - 4*p = -16, -6*l + 2*l - 4*p - 16 = c for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 172 + -120. List the prime factors of d.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 3891*s**2 + 893 wrt s.\nAnswer: 7782*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = -k**3 - 2*k**2 + 4*k + 7. Let v be n(-5). Suppose -4*b + 50 = -p, 4*b + p = -4*p + v. Calculate the remainder when 25 is divided by b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*(sqrt(2793) + (sqrt(2793) - (-1*sqrt(2793) - sqrt(2793))))*4)\/(5*sqrt(24)\/((sqrt(128) - sqrt(8))*-2)).\nAnswer: 1344*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1408393 = m + 2*p + 1820605, 0 = -m + 2*p - 3229002. What is m rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1.02, -0.5, -2\/13, 3\/5.\nAnswer: -0.5, -2\/13, 3\/5, 1.02","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 4546 and 19246.\nAnswer: 43746158","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1\/(4*(-1)\/(-260))?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0 - 1. Let h be ((-4)\/(-6) - 1) + i. Let o = -59742 + 59742.5. Which is the biggest value?  (a) o  (b) -3  (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = 4 - 52*a + 3 + 32*a - 3 - 2. Let t(p) = -p**2. Calculate t(u(o)).\nAnswer: -400*o**2 + 80*o - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {k: 14, w: 5}. What is prob of sequence wwwk?\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n - 2*n = -5*n. Let o be 182\/((1800\/(-155))\/6). Let c = o + 94. Which is smaller: c or n?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -2023517 + 710256665\/351. Let p = b - 105\/13. Find the common denominator of 31\/27 and p.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/3?  (a) -2  (b) -352  (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*z + 25 = 3. Find the second derivative of 3*i**3 - 6*i**3 - z*i**2 + 50*i + 10*i**3 + 15*i**3 wrt i.\nAnswer: 132*i - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (8\/(-8))\/8*-2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 800 and 576?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/4 of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 182 (base 14) to base 3\nAnswer: 102111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = -1047*b**2 + 5*b. Let v(n) = 1047*n**2 - 6*n. What is -6*l(f) - 5*v(f)?\nAnswer: 1047*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = w**3 + 7*w**2 + w + 2. Let l be k(-7). Let u be (0 - -1) + l\/3. Let h = 3 + -2.9. What is the nearest to 0.2 in -3, h, u?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13754*h - 28 = 13756*h for h.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n = 11 - 1. Let i = 349.5 - 350. Let z be (6\/4)\/((-12)\/16). Which is the closest to -2\/3?  (a) z  (b) n  (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -194.854 + 130.54. Let f = 1.386 - n. What is f rounded to the nearest 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -20*d + 2*d = -90 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 12872041?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = 9*u**4 - 45*u**3 + 74*u**2 - 56*u + 18. Let r(x) = 3*x**4 - 15*x**3 + 25*x**2 - 19*x + 6. Let s(f) = 2*h(f) - 7*r(f). Suppose s(b) = 0. What is b?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -258 + 0.054?\nAnswer: -257.946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 64 a factor of 1047436?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 7 - 8. What is the common denominator of (-6)\/(-3) + 4\/(-22) and 246\/90 + j - 4\/(-6)?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 808 - 425 - 383 - 104*w + 213*w - 106*w.\nAnswer: 3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*o - 2*o - 32. Suppose 0 = -4*v + o, 0*s = -s + 2*v + 7. Calculate the remainder when s is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1108367.3 take away 3.52?\nAnswer: -1108370.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -21 + 15 + 13 - 7. Is 4\/605 at least b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 52842107 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 14252 times -0.1\nAnswer: -1425.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = 2*j - 6*j + 0*j. Let m(d) = d**2 + 2*d. Let o = 5 + -9. Let c(v) = 4*v**2 + 7*v. Let n(f) = o*c(f) + 14*m(f). What is i(n(u))?\nAnswer: 8*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (48\/1)\/((-147)\/154). Let k = -3154\/63 - i. Which is the fourth smallest value?  (a) -5  (b) k  (c) -2\/3  (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*u + 9 + 6. Suppose -4*l - 20 - 85 = y, u*l + 73 = 5*y. Let s = -4 - l. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.0165, 4, 214\/7, -2\/5 in ascending order.\nAnswer: -2\/5, -0.0165, 4, 214\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2125 + 8*w - 1067 - 1058 + 135*w**2 to the form p + d*w + t*w**2 and give d.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -107956 - 4347366 - 3877574 = -208*j. What is the tens digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*m = -5*m. Solve 3*v + m*k + 5*k = 0, -19 = 5*v + 2*k for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 11\/((-231)\/90) - (-12)\/3.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 2 - (13\/15 - -1). Let y = -16\/7 + 18\/7. What is the closest to y in 0.2, j, 4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add 5973 and 74.\nAnswer: 6047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -375011*u*w + 449494*u - w wrt w?\nAnswer: -375011*u - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 102 and 374.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 10\/109 - 566\/1417. Let c = w - -29\/52. Let s be (2\/(-3))\/((-8)\/(-12)). Sort s, -2, c.\nAnswer: -2, s, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = 6*h**2 - 33*h + 15. Let s be f(5). Let q(z) be the first derivative of -4\/3*z + 1\/3*z**3 - 1\/12*z**4 + s*z**2 + 2. Solve q(t) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 z and 1 p when three letters picked without replacement from kcvpzkzkk?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1\/791 - -1573\/7119. Let s = 0.03 + 0.27. Let k be (-1*(-6 + 5))\/1. Which is the closest to -0.1?  (a) k  (b) s  (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do 0 and 16\/197 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = 8*l. Let s(c) = 20*c + 9. Let v(k) = 5*k + 2. Let h(o) = o**3 + o**2 + o - 9. Let t be h(0). Let n(d) = t*v(d) + 2*s(d). Calculate w(n(i)).\nAnswer: -40*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1802.4505 - 40.2605. Round x to the nearest 10.\nAnswer: 1760","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 o and 1 j when three letters picked without replacement from {j: 6, t: 1, o: 4, b: 3, x: 2}?\nAnswer: 9\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 6 - 3. Suppose -2*v - h + 1 = -v, 0 = -2*v + 2*h - 2. Find the second derivative of v*x + x - x**2 + r*x**2 wrt x.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 3578 + -3578. Solve 17*i + 21 + 30 = k for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1 - -1. Find the common denominator of 1677\/270 + v\/5 and 20\/(-48)*(-6)\/8.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together 16 and -641991.8.\nAnswer: -641975.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3319758.\nAnswer: 2, 3, 13, 4729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + sqrt(432) + 1*(sqrt(432)*-3 - sqrt(432))**2.\nAnswer: 12*sqrt(3) + 6917","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3211654?\nAnswer: 2, 89, 18043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 1 + 4*v)*(-2 - 2 + 6) - 2*v + 2*v - 2*v + (-2 + 1 - 1)*(3*v + 0*v - 5*v) + 0 + 0 + 2*v.\nAnswer: 12*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 156362228 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -2.00084943 rounded to 2 decimal places?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f = -4 + 28. Let z(h) = -h**3 - 9*h**2 + 14 - f*h + 0*h**3 - 24. What are the prime factors of z(-9)?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -180 - -184. What is the closest to -2 in -1\/4, -1, t?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2639 + 9373 = 531*z - 9196 for z.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8290095?\nAnswer: 3, 5, 11, 47, 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 156853159 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 129 + -131. Suppose 3*c + c = 5*b + 26, -5*c + 2*b + 24 = 0. Let d be -2 + c + (-3 - a). What is the greatest common factor of d and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*m**2 + 0 + 4 - 4 - 77724*m**3 - 372*m.\nAnswer: -77724*m**3 - 2*m**2 - 372*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b - 2 = 3. Let z be b\/(-1)*(-2 - -5). Let m = 0 - z. What are the prime factors of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -66768, -133341, -199716, -265893, -331872?\nAnswer: -397653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -3\/10, 1.6, -2, 10, 1, -0.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 169  (b) -24  (c) 11.228  (d) -2  (e) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 46 + -57 + (12 - 0 - (10 - 1)) + 4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence baa when three letters picked without replacement from jjjjjjbjjjjajjjjjjjj?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1\/338 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 48, 40, 22, -12, -68?\nAnswer: -152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -5 divided by 207\nAnswer: -5\/207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l = -4*m + 20, 2 = m - 0. Let y = -55 + 49.8. Let t = 5 + y. Which is the closest to 0?  (a) -0.1  (b) t  (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 6644 + -6644.02707. What is n rounded to 3 dps?\nAnswer: -0.027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h + 16754 = 18*h - 27646. What is the thousands digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 112627 (base 8) in base 13?\nAnswer: 1457a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand 33*y**2 - 20*y**4 - 33*y**2 + 0*y**4 - 3*y**4 + 0*y**4 + (-252*y - 34*y**2 + 252*y)*(4 - 4 - y**2).\nAnswer: 11*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 256 - 227. What is the remainder when 224 is divided by k?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 35814, 36064, 36314?\nAnswer: 36564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, 1, -5, -238, -3 in decreasing order.\nAnswer: 3, 1, -3, -5, -238","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 770678114, 770678115, 770678116?\nAnswer: 770678117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -29.44 or 24?\nAnswer: -29.44","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -6\/7?  (a) -0.2  (b) 4  (c) 11  (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find k, given that k**2\/3 - 9*k - 6426 = 0.\nAnswer: -126, 153","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 2900 and 116?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -59507926, -59507925, -59507924?\nAnswer: -59507923","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(121) - 2*sqrt(121))*6)\/(sqrt(99)*2).\nAnswer: -sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + 3 - 3)*(0*x + x - 3*x) + x + 6*x - 2*x - 4 - x + 4 + 2*x - 2*x - 2*x + (-1 + 1 + x)*(3 - 6 + 2).\nAnswer: -3*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 3\/(-4) - 3386\/(-4516). Let a = -71693\/6774 - d. Find the common denominator of a and -61\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6433.\nAnswer: 7, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*j = -11*j - 5*h - 35, 4*h + 50 = -3*j. Let f = j + 0. Let a be 3\/(f\/(-8) + (-13)\/52). Solve -a*b = -2*c + 3, 2*b = -5*c + b - 1 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a = -4*c + 8, 1 + 1 = c + 3*a. What is the greatest common divisor of c and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3195\/7455*(-16)\/3?\nAnswer: -16\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {i: 2, d: 5}. What is prob of picking 4 d?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from znfffzzzafznzfndd. What is prob of picking 1 z and 2 f?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 19 minutes before 3:18 PM?\nAnswer: 2:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert 20 (base 3) to base 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is d in -3*d**2 + 3180*d - 825372 = 0?\nAnswer: 454, 606","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 5, -4, 1\/6, 66?\nAnswer: 66","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 3.981 - -0.019. What is the nearest to -1 in g, -0.2, -19?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*a = 10*a - 3771. Suppose 9*g - 1605 - a = 0. List the prime factors of g.\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*p + 10065 = -6345. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 17155613 is divided by 4288819.\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express (1 + 0 - 2)*(2*i**4 + 3*i**4 - i**4) as p*i + k + n*i**3 + v*i**2 + b*i**4 and give b.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14932*i + 380 = -14911*i + 23 for i.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 222774 and 8667.\nAnswer: 321","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 110011011001000 (base 2) in base 7?\nAnswer: 136466","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {e: 4, o: 7, y: 3, k: 3, v: 2}. What is prob of picking 1 v, 1 y, and 1 k?\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -454.1 + 501. Let t = j + -46.8. Which is the closest to -0.3?  (a) 0.2  (b) t  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -9021 - -8809. Do -3 and z have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = 1. Let j(z) = 3*z. Let w(m) = j(m) - 3*l(m). Let u be w(2). Let q be (-50)\/(-2*u\/(-804000)). Round q to the nearest one million.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = 32*p + 31. What are the prime factors of v(11)?\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 685837515.\nAnswer: 3, 5, 11, 4156591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort -9, 0, -6 in decreasing order.\nAnswer: 0, -6, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -h - 61 = 5*a, -2*h + 49 + 14 = -5*a - 10 for a.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) be the first derivative of -i**3\/3 + 11*i**2\/2 - 6*i - 6. Let o be r(10). Let t(j) = -j**3 + 3*j**2 + 3*j - 1. Give t(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = 57*f. Calculate v(-1).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 4.1 + -0.1. Let m = -13058 - -13059. Let b = -0.94 - 0.06. What is the closest to b in m, c, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*o + o + 12 = -4*f, 0 = -4*o + 3*f + 9. Suppose -3*k + o*k - 54 = 0. List the prime factors of 1\/((-3)\/k - 0).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 + 0 + -65 + 95?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence aaaa when four letters picked without replacement from {a: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 652127 and 52864.\nAnswer: 413","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = 6*w**2 - 740*w - 70. What is j(124)?\nAnswer: 426","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -1 + 1 + 5 - (1941 - 1914)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -10101000011011 + 11010011?\nAnswer: -10100101001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -59855, -60973, -62093, -63215, -64339, -65465?\n\"Answer: -k**2 - 1115*k - 58739","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) be the second derivative of q**6\/6 - 39*q**5\/4 + 655*q**4\/4 - 665*q**3\/6 - 5415*q**2 - 29*q + 30. Find c, given that g(c) = 0.\nAnswer: -2, 3, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0.1 - 0.2. Let w = -0.9 + 0.62. Let f = 0.02 - w. What is the nearest to b in 3\/8, 4, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -8, 26, 58, 88, 116, 142, 166?\nAnswer: 188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ss when two letters picked without replacement from {p: 7, s: 5}?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = -82271*f - 29. Let d be l(1). What is d rounded to the nearest 10000?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -f**3\/6 + 16*f**2\/3 - 30*f - 216.\nAnswer: -(f - 18)**2*(f + 4)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2 + 12*w**2 - 27*w**3 - 12*w**2 - 8 + 21*w.\nAnswer: -3*(w + 1)*(3*w - 2)*(3*w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -131 divided by -321?\nAnswer: 131\/321","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.4 + -0.0257.\nAnswer: 0.3743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) be the first derivative of -o**4\/4 + o**3\/3 - 2. Let x(m) = -4*m**3 + 5*m**2. Let z(l) = -5*u(l) + x(l). Does 8 divide z(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 227 + 160. Does 21 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-8 - -9)\/(2\/(-4)*-1). What is the highest common divisor of z and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 57\/2 of a decade in years?\nAnswer: 285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 20437?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:38 AM and 9:07 PM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -t - 6 = -4*d, -5*d = t - 5*t - 2 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h*h**(-2\/5))\/h*h)**(-2\/75)*h**9\/h*h\/(h\/((h*h*h**(5\/6)*h*h)\/h)) assuming h is positive.\nAnswer: h**(8863\/750)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -1 - -4*(-41)\/(-2). Calculate the highest common factor of p and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find w, given that 6*w**3\/7 + 82*w**2\/7 - 366*w\/7 - 442\/7 = 0.\nAnswer: -17, -1, 13\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -377898*v + 188941*v + 188949*v.\nAnswer: -8*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**(1\/4)*c*c*c\/c**(1\/8)*c*(c**0)**(-4\/7))**29 assuming c is positive.\nAnswer: c**(957\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = z**3 + 3*z**2 + 2*z + 3. Suppose 4*l = 9*l - 30. Suppose 2*k = 5*k + l. Give w(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (680\/(-15))\/(-17)*3.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 233  (b) -3  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = -3*a**2 - 22*a + 0*a + 4*a - 38. Let b(f) = f**2 + 6*f + 13. Let v(h) = -17*b(h) - 6*w(h). Determine v(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = 4*q**2 + 2*q + 1. What is w(-4)?\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = -v**2 + 9*v - 4. Calculate the remainder when 25 is divided by a(6).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = -m**2 + 10*m - 6. Let q be f(9). Suppose 5 = a + q. Calculate the remainder when a is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 399442717 a multiple of 854?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -17 + (-5 - (-20 + 10 + 1))\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 8.200345 years to centuries.\nAnswer: 0.08200345","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s + 5 = -r, -r + 6*r - s = 30. Suppose 0 = r*k + 2*m - 79, 0*k - 3*m + 21 = k. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 46 - 38. What is the lowest common multiple of h and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = -6*l**3 + 344*l**2 - 150*l + 1828. Calculate q(57).\nAnswer: -224","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = -l**3 + 7*l**2 - 5*l - 32. Let n be o(8). Let t be n\/(-204) - (-2)\/3. Factor 1\/12*c**2 + t + 2\/3*c.\nAnswer: (c + 4)**2\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from oxoxxmooo. Give prob of picking 3 x and 1 o.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w = 78 - 2. Solve w = 4*z - i, -7*z = -2*z + 2*i - 14 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 377248.\nAnswer: 2, 11789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1946034.\nAnswer: 2, 3, 73, 1481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 41c7a + 163?\nAnswer: 41ddd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put -69, -2, 3, -131, 0 in decreasing order.\nAnswer: 3, 0, -2, -69, -131","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert -29a0 (base 11) to base 3.\nAnswer: -12022000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = 8426 - 28*t - 8426. Let v(a) = -a - 1. Let w(b) = 4*b + 2. Let u(o) = -2*v(o) - w(o). What is u(h(l))?\nAnswer: 56*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m - 7 = 1. Let x be -1 + 1 + (9 - 1). Solve 3*n + 2 + 7 = 2*a, 0 = -4*a - m*n + x for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is nineteen quarters of a litre in millilitres?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -1303277 (base 8) to base 7\nAnswer: -3035622","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 6 - -8a79?\nAnswer: 8a83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = 404*m**2 - 11*m + 22. Let j(s) = -135*s**2 + 4*s - 8. Determine -11*j(n) - 4*x(n).\nAnswer: -131*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 16966309 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*g + 30 = 10, 0 = 5*m - 3*g - 35 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = 4*v**2 - 7*v - 6. Let l(i) = -11*i**2 + 20*i + 18. Let y(n) = -3*l(n) - 8*p(n). Let k(m) = -9*m - 53. Let g be k(-7). Is 16 a factor of y(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 282080936?\nAnswer: 2, 35260117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 305 minutes before 1:55 AM?\nAnswer: 8:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 123\/35 or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000240965 rounded to 5 dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.15 - 3.85. Let a = 5 + -4.99. Let x = 0.01 - a. What is the nearest to x in -0.5, -0.2, v?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*y - 4*s - 9412, -17*s = 5*y - 12*s - 11685. What are the prime factors of y?\nAnswer: 5, 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 1.964 to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -31, -171, -417, -769, -1227, -1791?\n\"Answer: -53*y**2 + 19*y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 1858, 1889, 1924, 1963?\n\"Answer: 2*b**2 + 25*b + 1831","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 298723 is divided by 3178.\nAnswer: 3169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 21 - -0.058?\nAnswer: 21.058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 a and 1 t when two letters picked without replacement from {f: 2, n: 7, t: 1, a: 4}.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 283054477 to the power of 1\/3, to the nearest integer?\nAnswer: 657","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*h**3 - 24 - 10 + 35 - 35*h as u*h**3 + d*h**2 + n + v*h and give v.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence uo when two letters picked without replacement from fcfonfngunnf?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 35 = 2*d + 3*d - h, -2*d + 14 = 4*h. Let s(m) = 27*m**2 - 32*m + 257. List the prime factors of s(d).\nAnswer: 2, 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y*y**6)\/y)**14 assuming y is positive.\nAnswer: y**84","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 28806748?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3502?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = c. Let t(g) = 3*g + 2. Suppose -21*u = -13 - 8. What is u*l(o) - t(o)?\nAnswer: -2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = 4*g - 2. Suppose 0*m = -3*m + 18. Suppose 3*s = 6*s - m. Determine u(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 + 1 + ((-12)\/16 - 602\/(-56))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1868*y**3 - 26409*y - 938*y**3 - 928*y**3.\nAnswer: 2*y**3 - 26409*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (25 - 9) + (1 - 1 - -3). Suppose y*i = 23*i - 60. What is the remainder when 88 is divided by i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 15\/4 of a kilometer in meters?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Do 1939809 and 1939808 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Add together 0.062 and 1655.\nAnswer: 1655.062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*g + 4*l + 20, -g - 1 = l - 5*l. Suppose 5*o = -3*x + 31, -2*x + g*x = 3*o - 39. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -11377, -3704, 9085, 26990?\n\"Answer: 2558*z**2 - z - 13934","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 6333923?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -40.7 + -10.3. Let f = z - -29. Let j = 21.9999958 + f. What is j rounded to 6 dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = 443*q**3 - 7*q**2 + 6*q - 19. Is c(3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 17 + -2 + -28 - (-12 + -1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 3563 + -49. What are the prime factors of l?\nAnswer: 2, 7, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (4\/8)\/(1\/2). Let k(i) = 3*i + 1. Let y(w) = -351. Let d(x) = -50. Let f(h) = 7*d(h) - y(h). What is v*k(m) - 3*f(m)?\nAnswer: 3*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = 133946*k + 127. Let u(y) = 2*y**2. Give a(u(f)).\nAnswer: 267892*f**2 + 127","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) be the third derivative of 0*f + 0 - 1\/6*f**3 - 6*f**2. Let a(o) = 6*o + 6. Give a(j) + 6*m(j).\nAnswer: 6*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = 1569*s**3 + 4*s**2 - 3*s - 2. What is the units digit of b(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/32 of a meter in micrometers?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10*o = 21 + 124 + 165 for o.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 10328495 <= 10328491?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = -u - 1. Let z(y) be the first derivative of -5*y**2\/2 - 3*y + 2. Let b(a) = -a**2 + 6*a + 8. Let r be b(7). Determine r*z(h) - 4*c(h).\nAnswer: -h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = -t. Let w(d) = 4. Let x(g) = -5*l(g) + w(g). Let n(h) = -14*h - 11. Let j(m) = -4*n(m) - 11*x(m). Let p(i) = -5*i. What is p(j(z))?\nAnswer: -5*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = k**3 + k**2 - k - 1. Let r(n) = -2*n**3 - 5*n**2 + 4*n + 4. Determine 6*d(t) + 2*r(t).\nAnswer: 2*t**3 - 4*t**2 + 2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round 103215 to the nearest 100.\nAnswer: 103200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from {s: 2, k: 1, x: 1, q: 1, c: 2, b: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k\/(k\/((k**(17\/3)\/k)\/k)))**(3\/34)\/(k**(3\/7))**(-2) assuming k is positive.\nAnswer: k**(281\/238)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**(8\/15)*d**(-1\/19))\/(((d\/d**(-5))\/(d**(1\/3)*d))\/d**(-37)) assuming d is positive.\nAnswer: d**(-11738\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**14\/(k*k*k*k**16*k*k))**(4\/7) assuming k is positive.\nAnswer: k**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 13\/5 of a millisecond in microseconds?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = s**2 - 6*s - 1. Suppose -4*d + 0*d = -32. Let w be b(d). Suppose -w*t + 245 = -10*t. What is the tens digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/(-3)*9\/(-33)*2?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1514478940?\nAnswer: 2, 5, 13, 5824919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (2\/64*-2)\/(3\/(-75882)). Let s = k + -1585. Find the common denominator of 73\/8 and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = 78*k**3 + 16*k**2 + 18*k - 28. Let x be u(17). Let l = 174116 - x. Round l to the nearest ten thousand.\nAnswer: -210000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = f + 3*f. Suppose -5*q + 66 + 29 = f. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 3 + 3\/6*-10. Is (-74)\/(-6 - (n - 2)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 29 + -28.9. Let v be 1 + ((-18)\/(-22) - 2). Let j = -6.1 + 6. Which is the nearest to y?  (a) 4  (b) j  (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = k - 7 + 4. Let i(p) = 32*p**3 + 5*p**2 + 6*p**2 - 23*p - 31*p**k + 14 + p. What is the hundreds digit of i(-11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {a: 3, d: 3, q: 3, w: 2, g: 1, j: 2}. Give prob of sequence qga.\nAnswer: 3\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-40)\/(-35))\/4 + (-246)\/(-21). What is the greatest common divisor of 96 and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*q + 14*q = 2*h + 10, 18 = 4*q - 3*h. Solve 0 = -j - m, -q*m = 3*j + 2*m + 2 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = d - 5. Suppose 0*h + 5*h - 17 = 3*l, 2*l = -2*h + 10. Calculate k(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (1152047\/(-39) - -10)*-3 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -77\/706240 and -131\/384.\nAnswer: 4237440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 279 - 174. Find the common denominator of (z\/(-450))\/(2\/6) and -109\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = -b - 17. Let c be w(-10). Let y(z) = -z - 1. Let g(p) = p**2 + 8*p + 7. Let q(s) = g(s) + y(s). What is q(c)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 10658, 10676, 10708, 10760, 10838, 10948, 11096, 11288?\nAnswer: 11530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 3926332 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 1651 divided by 173?\nAnswer: 1651\/173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -312 + 459. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence wd when two letters picked without replacement from wydywdyycdcydcwycwwc.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 472054598 to the nearest integer?\nAnswer: 779","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 277 a factor of 969411083?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*q**2 - 3*q**2 - q**2)*(-5166824 + 5166824 - 434*q**3).\nAnswer: -434*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 9 and 6084.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange j**3 + 11*j**2 + 0*j - 10*j**2 + 968 - 967 + 26*j to the form u + v*j**2 + m*j + d*j**3 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -22eb7d1 - 12?\nAnswer: -22eb7e3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 33604644 divided by 3?\nAnswer: 11201548","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Work out -4132 + -60.\nAnswer: -4192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + sqrt(68) + -6*(-1*sqrt(68) + sqrt(68)) + (sqrt(1666)*2 - sqrt(34))\/(sqrt(22)\/(sqrt(33)\/sqrt(3) + sqrt(11))).\nAnswer: 5 + 28*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*k**2 + 5*k**2 + 13*k**2)*(-25 + 11 - 29)*(1 + 1 - 1 + (1 - 1 - 2)*(3 - 1 - 1) - 3 - 2 + 3 + 3 + 1 - 5 + 1 - 3 + 4).\nAnswer: 1118*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = v**2 + 7*v + 9. Let a be k(-6). What is the first derivative of -2*g - g + 0*g - a*g + 8 wrt g?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 17 + -12. Let n = m - -5. Calculate the remainder when 300\/375 + 873\/15 is divided by n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = o - 2. Suppose h - 8 = -3*h. Let p be w(h). Which is the nearest to p?  (a) 0.1  (b) 0  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -12 or -3\/2525?\nAnswer: -3\/2525","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.592 times -4?\nAnswer: 2.368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 19\/(38\/(-44)) + 7\/(49\/(-63))\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -39788 from -37806639.\nAnswer: -37766851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 559 - 559.5. Let z = -213 + 1073\/5. What is the smallest value in q, 0, z?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -7 + 7. Suppose 4*z - 3*o - 9 = l, 2*o + 0*o = z - 6. Solve -k + z*k + 2 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -3*h**5 + 6118*h**4 - 89*h**2 - 1690*h wrt h.\nAnswer: -180*h**2 + 146832*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = -7*j**2 + 11*j**2 - 5*j**2. Let u(v) = v - 3. Let q(n) = -2. Let r(m) = -3*q(m) + 2*u(m). Calculate d(r(a)).\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -5 - ((-2618)\/528 - (-6)\/(-16)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sum 3756 and 70.20342.\nAnswer: 3826.20342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -42*m**2 + 6250245*m\/2 + 1004508 = 0. Calculate m.\nAnswer: -9\/28, 74408","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = q + 25. Let d be l(0). Suppose -3*h + 11 = k, 0*k + 2*k = -3*h + 7. Let v be k\/(-10) + 92\/20. Solve -5*m - 2*i + d = 3, -5*i = -v for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 560 and 490.\nAnswer: 3920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-17)\/(-5) - 26\/65. Suppose -x + 24 = j*x. Suppose 3*r - x = 33. Solve 5*f + 25 = -2*u, -5*f = -5*u - f - r for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-32)\/(13440\/(-765))*-4 - -8\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -1 - (-12)\/4*41. Suppose 4*s - q = 66. What is the tens digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 divided by 2897295.\nAnswer: -1\/965765","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 72324 a multiple of 196?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = n**3 + 166*n**2 + 299*n + 431. What are the prime factors of u(-163)?\nAnswer: 3, 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*c**3 + c**3 + 18*c**3)*(-15*c + 3*c - 19*c) + 39*c**4 - 278*c**4 + 85*c**4 as i*c**4 + q + v*c**3 + r*c + f*c**2 and give i.\nAnswer: -681","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 44283532193 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express -15 + 16 + 5*h + 11*h in the form f*h + p and give f.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vvw when three letters picked without replacement from {p: 1, w: 2, v: 2, j: 6}.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -34 + 36. Let q(c) = -c**3 + c**2 + c - 1. Let z(g) = 6*g**3 - 7*g**2 - 8*g + 7. Give y*z(s) + 14*q(s).\nAnswer: -2*s**3 - 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (((-14)\/98)\/1)\/(((-36)\/(-56))\/(-9)). Solve -3*y - x*q = -16, 3*y + 21 = 6*y + 3*q for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -5, 70, -0.1585603?\nAnswer: 70","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = -4*v. Let p(i) be the first derivative of -52 + 1\/2*i**2 - 32*i. Give p(z(b)).\nAnswer: -4*b - 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w + 19 = -2*j, -j + 3*w - 3 = -16. Calculate the common denominator of (3\/j)\/(5\/29) and -73\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -h**4 + 7*h**4 - 2*h**4 + (-3*h + 2*h**2 + 3*h)*(2*h**2 + h**2 - 2*h**2) - 3*h**4 - 2*h**4 + 4*h**4 + 2 - 2 + h**4.\nAnswer: 6*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 101790 and 12180?\nAnswer: 1425060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 90730621 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = -y**2 + 8*y - 7. Let m be a(6). Suppose 0*q - 37 = -3*x + 2*q, 0 = x - 3*q - 24. What is the remainder when m*15\/9*3 is divided by x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 3, q: 1, v: 4, e: 6, o: 1}. What is prob of picking 2 v?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + (sqrt(396) + 1 + sqrt(396))*-2 + 5 + (-3*sqrt(396) + 2 + sqrt(396)*2*-3)**2.\nAnswer: -240*sqrt(11) + 32082","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*j + 4*j + 26*j = 0. Solve j = 8*z + 52 - 28 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = -q**2 + 13*q - 11. Determine k(12).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = -336*j - 139. Let r(d) = -d**2 - 16*d - 73. Let v be r(-9). Is u(v) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*l = -4*u - 12, 2*l - 3*u + 8 = 3 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 10772924?\nAnswer: 2, 19, 23, 6163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -37\/44 and -3\/30800?\nAnswer: 30800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t + 18 = -127. Let z = 48 - t. Suppose 3*u - 3*k = 294, 0 = 5*u + 5*k - 530 + 70. What is the greatest common divisor of z and u?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2107*f - 6*f**2 + 2107*f)*(-1 - 1 + 1)*(0 + f + 0)*((1 + 2 - 5)*(2 + 4 - 4) + 2 - 1 - 3 - 2 - 3 + 3) in the form u + b*f**3 + m*f + t*f**2 and give b.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:50 PM and 11:22 PM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*g**2\/7 - 1488*g - 83520\/7 = 0.\nAnswer: -8, 3480","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -232050321 (base 6) in base 10?\nAnswer: -4298953","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find w such that -7*w**3 - 84*w**2 - 2*w**3 + 2*w**3 + 5*w**3 = 0.\nAnswer: -42, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 203 + 3?\nAnswer: 206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor -10*m**2 - 3711125*m - 1855560.\nAnswer: -5*(m + 371112)*(2*m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = 30*m**2 - 5*m - 6. Let u be h(-1). Suppose -5*p + u - 64 = 0. Let v(k) = -k**2 - 10*k - 9. Give v(p).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 917106630?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 410 + -407. Solve -19*a = -20*a - l for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -7 - (244\/24 + -6)*16\/(-10)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 5.7 - -12663627.\nAnswer: 12663632.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (1 - (3 + 1)) + 1. Let j = 8 - 13. Let r = 8.4 - 8. What is the biggest value in r, j, a?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -8, 0.07, -0.08?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify z**(-16)\/z*z**(-4)*z assuming z is positive.\nAnswer: z**(-20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 2 - (6\/(-1) + 2). Solve -2*g + u = 4*p, -g + 4*g + 19 = p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 32\/5 of a microgram in nanograms?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:53 AM and 12:06 PM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*i + 4*i - 12 = 0. Suppose -1243*k + 60 = -1263*k. Sort 4, 0, k, i in descending order.\nAnswer: 4, i, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 80, 159, 238, 317, 396, 475?\n\"Answer: 79*a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + 5 + (-2 + sqrt(325) + 0 + -1 + sqrt(325) + sqrt(325) - 1*sqrt(325)*-2*3))**2.\nAnswer: 540*sqrt(13) + 26361","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 23853.2 millilitres in litres?\nAnswer: 23.8532","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 36115 to the power of 1\/3, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 116383 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 44\/(-176)*2*-2\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 5412912 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*z - 3 - 21. Let m be ((3 - z\/(-3)) + -1)*27. Let d(x) = -338*x + 16. Let i be d(m). What is i rounded to the nearest one thousand?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 5 - 0.32258362885\nAnswer: 4.67741637115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.4398 plus -2.07?\nAnswer: -3.5098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2162 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) be the second derivative of 3\/4*f**4 + 0 + 0*f**3 - 2*f + f**2 + 1\/20*f**5. Let b be w(-9). Solve 0 = -b*j - h - 2, -3*h + 15 = -5*j + 4*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = -n - 7. Let y(k) = -k - 6. Let o(z) = 5*w(z) - 6*y(z). Let a(g) = 5*g + 6 - 8 + 6. Let x = -3 + 2. Calculate x*a(d) + 4*o(d).\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 7 (base 15) to base 7\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) be the second derivative of t**4\/12 - 13*t**3\/6 + 5*t**2\/2 + 360*t. Calculate k(11).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -11342143, -11342146, -11342149, -11342152?\nAnswer: -11342155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 1366 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -107\/124212 and 29\/220?\nAnswer: 621060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) be the first derivative of -r**2\/2 + 1. Suppose 0 = 2*m - 7 - 3. Let i(b) = -2*b + m*b - 4*b. Determine i(d(o)).\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express (3*i - 2*i + 0*i)*(1863*i**2 + 16959*i**2 - 4591*i**2 + 10668*i**2) in the form q*i**3 + b*i**2 + l + s*i and give q.\nAnswer: 24899","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 0 + 34*q**3 - 35*q**3 + 9 wrt q?\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 10 + -6. Suppose 0*q + q = n + 7, -4*q - t*n - 4 = 0. Determine v, given that 3*v - 2*v**4 - q*v**5 - 6*v**2 + 0*v + 8*v**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v - 13 = -3*h, -5*v - 8 + 22 = 3*h. Let p(t) = 7 - 1 - 4 + 728*t. Let a be p(v). What is a rounded to the nearest 100?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -49*p - 14*p - 36*p - 75*p to l + h*p and give h.\nAnswer: -174","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -6056 - 20?\nAnswer: -6106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 5, 1\/3, -9724\/15?\nAnswer: -9724\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 7\/133320 >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 181*c**2*v**3*z - 13*c**2*v**3 + 4*c**2 + 2*c*v**3*z wrt z.\nAnswer: 181*c**2*v**3 + 2*c*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-q + 4*q - 5*q)*(0*q + q + q) - 51*q - 17*q**2 + 51*q.\nAnswer: -21*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -7\/305 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -588495, -2354030, -5296603, -9416226, -14712911, -21186670?\n\"Answer: -2*x**3 - 588507*x**2 + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t + 318 = 2*q, -3*t - 75 - 242 = -2*q. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 483 + -9?\nAnswer: 477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3013?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -25877*i + 12938*i + 12976*i.\nAnswer: 37*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pjj when three letters picked without replacement from ppjpprpprpppprpppjpp.\nAnswer: 1\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 112100156 to the power of 1\/2, to the nearest integer?\nAnswer: 10588","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 78303 + -649\nAnswer: 77654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express 11*o + 22*o - 10*o + 0*o as d*o + q and give d.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = -4*q**2 - 5*q + 3. Let p(u) = -5*u**2 - 4*u + 2. Let h(i) = -6*n(i) + 5*p(i). Determine h(9).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 55\/2 of a litre in millilitres?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 1470403 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 13 - 16. Let j = 0 - 0. Let y = j + l. Which is the nearest to -1?  (a) 3  (b) y  (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j + j + 4 = 0. Suppose -j*f = 3*f - 175. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-3 - -2) + -1 + -3 + 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 66630 is divided by 1513?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = 11*x + 14. Calculate the remainder when m(4) is divided by 31.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -136*g = 87*g - 21*g - 791840. Is 80 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4\/(-1)*6\/(-12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.5, 1369\/2, -0.1, -2\/3 in increasing order.\nAnswer: -2\/3, -0.1, 0.5, 1369\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -95 * -29399\nAnswer: 2792905","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = 14*y**2 - 6*y**2 - 6*y**2. Let x be (2 - -3)\/(-1 - -2). Let m(t) = x*t - 4*t - 2*t. Calculate d(m(b)).\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 10661 is divided by 345?\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 158 - -ba?\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10*x**2 + 3695438*x - 3695438*x.\nAnswer: -10*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.2 in 2\/9, 8, -10, -4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = -43*m**3 + 9*m**2 + 11. Let u(g) = -22*g**3 + 5*g**2 + 6. Calculate 6*b(i) - 11*u(i).\nAnswer: -16*i**3 - i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 21 - 15. Suppose m = 8 - a. Suppose 4*n - y - 146 = 111, -116 = -2*n - m*y. Does 14 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-x**3 - 2*x**3 + 2*x**3)*(44 - 24 + 36)*(0*x + 6*x - 3*x)*((-3 + 2 - 1)*(4*x + 2*x - 5*x) + 2 - 2 - 2*x).\nAnswer: 672*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1b1 (base 16) to base 12.\nAnswer: -301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 0\/1*11\/55. Suppose 0 = 5*l - 0 - 10. Factor l*c**2 + d - 1\/2*c**3 - 2*c.\nAnswer: -c*(c - 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1664 = -7*s + 20*s. Let a = s - -129. Suppose r + 4 = 3*r. Sort a, 6, r in ascending order.\nAnswer: a, r, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 14, 46, 114, 236, 430?\nAnswer: 714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -11050*r**5 + 4*r**4 - 2*r**2 + 57223*r wrt r.\nAnswer: -221000*r**3 + 48*r**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Divide -2055 by 3.\nAnswer: -685","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 32880?\nAnswer: 2, 3, 5, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 14358 divided by 1\nAnswer: 14358","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 622 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve x = -k + 5, -66*k + 2*x - 35 = -63*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-21)\/(-6) - 2)\/((-36)\/(-480)). Solve 5*s - o = 0, -2*q = -5*s - 12 + 40 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 20 divide 94868192?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = 4 - 3 - 7 - 1 - k**2. Let b(q) = q**2 + 1. Let x(r) = 3*b(r) + h(r). Calculate the remainder when x(4) is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 238790.\nAnswer: 2, 5, 23879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = -2*j**2 - 21*j + 28. What is k(-12)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = a**2 + 14*a - 134. What is c(6)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is one twentieth of a tonne in grams?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 h and 2 s when three letters picked without replacement from sshwswswsssws.\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -0.5, -0.1, 369, 2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = 69*s**3 + 27*s**2. Let l(x) = -10*x**3 - 4*x**2. What is 4*h(q) + 27*l(q)?\nAnswer: 6*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -42631785 divided by -1145?\nAnswer: 37233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Does 4 divide 885?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in -0.4, -0.3, 2.5, -1081, -1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -286740 - 84*j + 2*j**2 - 271908 + 84*j.\nAnswer: 2*j**2 - 558648","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 102 minutes before 8:56 PM?\nAnswer: 7:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1641291, -1641304, -1641329, -1641372, -1641439?\nAnswer: -1641536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"}
{"text":"Question: What is z in 11*z**2 - 33*z**2 - 19*z + 16*z + 9*z**2 + 10*z**2 + 168 = 0?\nAnswer: -8, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 23*n - 3*s = -35 - 53, -17*s - 12*s = -32*s + 111 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 699422?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + sqrt(2) + (sqrt(128) + 0)**2.\nAnswer: sqrt(2) + 124","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p + 4*z - 20 = 0, 1 - 26 = -4*p - 5*z. Suppose 2*w = -4*t + 16, 2*w - 3*t - 13 = -18. Factor 9\/2*i**w + p + i.\nAnswer: i*(9*i + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = 216*p**5 - 221*p**2 - 3. Let l(n) = 430*n**5 - 443*n**2 - 5. Let a(t) = 3*l(t) - 5*m(t). What is the third derivative of a(y) wrt y?\nAnswer: 12600*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -43, 0.4, -3273\/5 in descending order.\nAnswer: 0.4, -43, -3273\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18*f - 16*f - 14 = 0. What is the first derivative of 3*p + 5 - 7*p + f*p**2 + 4*p wrt p?\nAnswer: 14*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-1 + 0)*(2 + (-32)\/17). Suppose 2*v = 12 - 2. Which is the closest to 4?  (a) v  (b) -1\/3  (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = -391*d + 14400. What is c(37)?\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is -2064 smaller than -179660\/87?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -3 + 8201?\nAnswer: 8198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 13, 28, 59, 112, 193, 308, 463, 664?\n\"Answer: c**3 + 2*c**2 + 2*c + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find n, given that n**3 - 1533*n**2 + 12200*n = 0.\nAnswer: 0, 8, 1525","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 j when three letters picked without replacement from {r: 2, o: 9, j: 6}?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*o**2 - 6*o**2 + 4*o**2)*(-o**2 + 3*o**2 - 3*o**2) + (-217*o - 242 + 242)*(o**3 + 2*o**3 - 2*o**3).\nAnswer: -218*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -13 + 20*n**2 + 13.\nAnswer: 20*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 183089 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 18504, 18486, 18456, 18414, 18360, 18294?\n\"Answer: -6*j**2 + 18510","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = -15*x**3 - 2*x**2 - 2*x - 1. Let f be 6\/(-2) - (-8 - -6). Give k(f).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 4633, 4, -6, -1, 0 in decreasing order.\nAnswer: 4633, 4, 0, -1, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (58 + -57)\/((-4)\/12). Let q be 3\/(6\/(-8))*-1. What is the second smallest value in 5, q, d?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*b + 11 = 2*r - 5*b, -16 = 3*r + 5*b for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = -2 + 45*x + 0*x**3 - x**3 + 0*x**2 - 44*x + 7*x**2. Give o(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 160 divided by 80.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -38\/3 + 34\/3. Which is the fourth smallest value?  (a) 1  (b) t  (c) -3  (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = -7*r - 4. Let h be b(-5). Suppose 5*x + 5*v - 1 = -6, h = 5*x - 4*v. Let w be 3 - (-7)\/(-5) - 2. Put 0.5, w, x in increasing order.\nAnswer: w, 0.5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 1  (b) 5  (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*o + 8 = -17*o. Is 147 - 1 - 2 - 4 - o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h + 6*h = 504. Is 6 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 > 109\/250?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = 3*c**2 - 7*c + 27. Let k be f(9). Suppose 8*t = 5*t + k. What is the remainder when t is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2469549, -4939100, -7408651, -9878202, -12347753?\nAnswer: -14817304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 2195.92948 - 2196. What is v rounded to 2 dps?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from fjfjfjjfjj. Give prob of sequence ff.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p - 2*a - 356 - 4 = 0, -2*p - 144 = 3*a. Is 54\/p - ((-23373)\/12 - 2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 2280 by 19.\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) be the first derivative of -18*g**2 - 2*g + 7. What is the tens digit of d(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-6)\/33 - 64\/11. Does 11 divide (-128)\/k - (-2)\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -165\/13, 2\/483, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 274 - -1310?\nAnswer: 1604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 469.16 - -2.84. Let i = y + -471.99957. What is i rounded to 4 dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-294)\/735)\/((-1)\/(-10))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 32 + (-19 - 33) - -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 245 = 31*u - 27 - 317. Let j(t) = -t**3 + 17*t**2 + 38*t - 5. Calculate j(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -138212434 + -2?\nAnswer: -138212436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c - 5*z - 5 = -2*z, -4*c + 55 = 3*z. What is the remainder when 48 is divided by c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -8 - -15. Differentiate 0 - 1 - t*c**3 - 4 + 3*c**3 with respect to c.\nAnswer: -12*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o = -5*q + 11, 4*o + 3*q = 2*q + 9. Solve o = -3*l + 4*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-70)\/(-4))\/(((-45540)\/(-352))\/(-207)).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s - 28 = -6*s. Let w(b) = -4*b**3 + 7*b**2 - 11*b - 5. Let i(g) = 2*g**3 + 3*g**2 + 5*g + 2 + g**2 - 7*g**2. Calculate s*i(k) + 3*w(k).\nAnswer: 2*k**3 + 2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0.4, -6, -1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round 508.781534 to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 3 - -7304b?\nAnswer: 7304e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -1\/5  (b) 20.589  (c) 1\/4  (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -2.24 plus 0.01?\nAnswer: -2.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2257 is divided by 189?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 2709810267 to the nearest integer?\nAnswer: 228","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 30364950 a multiple of 462?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4739 is divided by 2344.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in -23\/25, -5, 5?\nAnswer: -23\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = r**3 + 5*r**2 + 3*r + 5. Let q be i(-6). Let k = -33 - q. Let d = k - 10. Calculate the remainder when 9 is divided by d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -3.02 - 0.28. Is j at most -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -33*o + 7098053 = 10*o. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 1, q: 1, i: 2, c: 1}. What is prob of picking 1 q and 1 c?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 38892529?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = -247*k**2 + 1. Let a(t) = 1249*t**2 - 6. What is 2*a(n) + 11*v(n)?\nAnswer: -219*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 158695\/3 - 52897. Find f such that -f + c*f**3 + 2\/3*f**2 - 2\/3*f**4 + 0 - 1\/3*f**5 = 0.\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) be the second derivative of 9*f**5\/20 + 5*f**4\/12 + 19*f**2\/2 + 2*f - 54. Differentiate b(d) with respect to d.\nAnswer: 27*d**2 + 10*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2893879 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 25455349.\nAnswer: 193, 131893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o\/o**(1\/10))\/(o*o\/o**(-2\/15))*o**(-1\/7)\/(o\/(o*o**(-3\/5)\/o)))**0 assuming o is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: (-2)\/(-4)*(-50)\/20*(-728)\/260\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from rrrkkrkrkrkrk. Give prob of picking 3 k.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1098914 divided by 142.\nAnswer: -549457\/71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 52 - 586?\nAnswer: -534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x - 3 = -h, 3*h - 6*x + 5*x - 17 = 0. Solve -2*l = -c - 9, 0*l - h*l + 5*c = -20 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = -5*q + 51. What are the prime factors of q?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -3\/13?  (a) -1\/6  (b) -2  (c) -0.87  (d) -6.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-63367)\/20 - 52\/130)*4*-2 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1873873982 less than -0.5?\nAnswer: -1873873982.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-18 - -22) + -8 + 4*1. Let z be (-1)\/(-3) - (-20)\/12. Suppose 5*s - z*a + 0*a = 385, -5*s + 5*a + 385 = t. What are the prime factors of s?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11*g = -3*u + 459, 4577 = u + 2*g + 4662 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 999.1509cm in meters?\nAnswer: 9.991509","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 4106 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*sqrt(360))\/(sqrt(2) + sqrt(200)) + (5 + 1 + (sqrt(500) + 1 - sqrt(500)) + sqrt(500) + 0 + sqrt(500) + 4 + sqrt(500))**2.\nAnswer: 7242*sqrt(5)\/11 + 4621","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/5 in -15, -2\/9, 4, 13, -4613?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2?  (a) -0.0067  (b) -0.3  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s*s*s*s\/(s\/(s**(1\/3)\/s)))\/(s*s*s\/s**17*s)*(s*s**9\/s)**(14\/13))**0 assuming s is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = -8*v + 22*v - 8*v - 46*v + 4 - 4*v**2. Let t be f(-9). Calculate the highest common divisor of t and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qjmm when four letters picked without replacement from {k: 1, q: 5, t: 1, m: 2, j: 6, l: 2}?\nAnswer: 1\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-1 - 0 - -8) + 1. Let c(m) = g*m + 2*m**2 + 3 + 0 - m**2. What is c(-7)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 2 + 0. Suppose -z*y + 87 = y. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = -4*y + 77. Let v be i(18). Solve v*z - u + 16 = 0, -3*u - 16 = 2*z - z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = -2*f. Let r(g) = -6*g + 3*g - 1 - 2*g + 4*g. Let m(q) = 3*r(q) - y(q). What is m(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -13069 - -134539\/10. Is y at most 385?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = 5*c. Let k be 5 - -4 - 1*-1. Suppose -k*d = -5*d - 25. What is the remainder when 49 is divided by z(d)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13313257 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Does 2205105\/4 = 551276?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) be the second derivative of -d**4\/12 + 9*d**2 + 31*d. Let u(k) be the first derivative of t(k). Let s(w) = -20 + 4*w + 16 - w. Calculate s(u(c)).\nAnswer: -6*c - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -24*m + 35253*m**2 + 24*m - 8984*m**2.\nAnswer: 26269*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -1029 divided by 5?\nAnswer: -1029\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 115676*l**5 + 3*l + 6584.\nAnswer: 2313520*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = -119419*w**2 + 39*w + 28. Let m be c(-11). What is m rounded to the nearest 100000?\nAnswer: -14500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = -9*t**2 + t - 1. Let h be l(1). Let f be (-2)\/(3 + 24\/h). Let d = 7 + f. Solve -z = -u - d - 7, -37 = -5*z + 4*u for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -18*x**3 - 8*x + 8*x - 2*x**2 - x**3 + 3*x**3 - x**3 + (5*x**2 - 3*x**2 + 5*x**2)*(3*x - x - 4*x).\nAnswer: -31*x**3 - 2*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 10506131 is divided by 189.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -27 + (52233\/(-644))\/(-3)\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express -2 + 4*a**2 + 0 - 3*a**2 + (-2*a**2 + 0*a**2 + 0*a**2)*(4 - 3 - 4) in the form w*a + c*a**2 + f and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 168057568?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 119572865?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round 4146455230 to the nearest 1000000.\nAnswer: 4146000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -318 + 352. Let r(u) = u**3. Let s(z) = -6*z**3. Give p*r(l) + 6*s(l).\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 8 - -10. Let l(y) = -y**2 + 28*y - 11. Let q be l(14). Let u = q + -23. Calculate the greatest common factor of n and u.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 13 in -4, -1\/9, -2\/4601, 0.01, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5205 is divided by 4617?\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 391944 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:59 AM and 2:39 PM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = k - 5. Let l be d(5). Solve i = l, 11*w + i = 6*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*x + 26 = -6*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -69563 = -19*g - 5*v, -7*g + 5*g + 7336 = -4*v. Calculate the remainder when g is divided by 33.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -438, -419, -396, -369, -338, -303?\nAnswer: -264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is b in -7*b**5 - 74*b**4 - 33*b**3 + 74*b**2 + 40*b = 0?\nAnswer: -10, -1, -4\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 28\/(-49) - 6204\/21. Let o = n + 307. Solve -4*h - b - o = -0*b, 3*b - 31 = 4*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 246188486?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 94 is divided by 20.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15 = -4*x + 4*r - 9, -3*r + 19 = -4*x. Let a be 5\/x*(-3)\/3. Let d(n) = n - 6 - a + 2. Determine d(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-7663)\/(-574725))\/(2\/(-5) - 0\/(-4))?\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 259690145 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -689.4 + 53.4. Let t = 635 + i. Let l = 1 + -0.96. Which is the closest to t?  (a) 2  (b) l  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 262178470?\nAnswer: 2, 5, 31, 467, 1811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 0\/18 - (-2 + 158\/6). Let x = f - -575\/24. Put x, 5, -1.6, -0.3 in decreasing order.\nAnswer: 5, -0.3, x, -1.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2211, -4, 5, 1 in increasing order.\nAnswer: -4, 1, 5, 2211","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*c + 90 + 30 = 0. What is the common denominator of 65\/32 and c\/(192\/(-130)) + 4\/(-6)?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 56*j - 137*j - 409*j + 2450 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 95811.32kg to tonnes.\nAnswer: 95.81132","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -108921226*a**3 + 54460249*a**3 + 54460969*a**3.\nAnswer: -8*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 6 + -2. Let n = 92 + -179. Let h = n + 80. What is the third biggest value in w, h, -0.3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = -3*m**3 + 46*m**2 - 3*m - 10. What is the hundreds digit of r(15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i**4\/7 + 9802*i**3\/7 + 39195*i**2\/7 + 29394*i\/7 = 0. Calculate i.\nAnswer: -9798, -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1061051.4ms to days.\nAnswer: 0.0122806875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 11366991 and 0.3?\nAnswer: 11366990.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = k**3 - 8*k**2 + 1. Let o be s(8). Let b = -2 + o. Let m = b + 18. Does 7 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j\/j**(1\/9)*j**(-2\/7))\/((((j*j**(-2\/9)*j*j*j*j)\/j)\/j)\/j**(-3\/7)) assuming j is positive.\nAnswer: j**(-164\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 29\/7 and 25\/9?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = -18 + 11 - l**2 - 6*l**3 + 5*l**3 + 0*l**3 + 6 - l. Let k(j) = 2*j**3 - 3*j**2 - 5*j - 3. Calculate -k(u) + 3*v(u).\nAnswer: -5*u**3 + 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 127607\/98 + -1302. Is 0 at least f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 24.8 + -25. Let f = -24 + 17. Let b = 6.4 + f. Which is smaller: b or x?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 25630620, 25630623, 25630626?\n\"Answer: 3*i + 25630617","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -201 + 206. Suppose 3*b = -l*p + 153, 11*b - 4*p + 51 = 12*b. What is the remainder when b is divided by 15?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x = 151228 + 12627. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 5 + -282218?\nAnswer: -282213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -2, -2285, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-118275 - 2134*b + 118276 + 6192*b)*(b + 0*b + 0*b)*(-3 - 3 + 4).\nAnswer: -8116*b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 326 minus 21.69424?\nAnswer: 304.30576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 1 + -15 - (-4 - (-6)\/(-3)). Let a(c) = -c**2 - 7*c + 5. Give a(o).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -16106 + 27009763\/1677. Which is smaller: 1 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.1 - -0.1. Let f(v) = v**2 + 25*v + 23. Let x be f(-24). Let t be -6*10\/30 - (2 - x). Which is the nearest to 0?  (a) t  (b) -0.5  (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 0.02, -0.43, -5?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round -839.17019 to the nearest one hundred.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from bzzzobnnssbizossonzb. What is prob of picking 1 n, 1 b, and 1 s?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -21 - -20.943. Round u to two dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u + 12 = 2*s - 4*u, -4*s = -2*u - 14. Let a(w) = 14*w**3 - 2*w**2 + 1. Let t be a(s). Let p = 20 - t. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -624 divided by 4.\nAnswer: -156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 0.3, 2\/9, 154, -2\/11, -0.7?\nAnswer: 154","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(2156)*-2 + 1 + sqrt(2156) + 1 + sqrt(2156) + sqrt(2156) + -1)*-2)**2 + -4.\nAnswer: 112*sqrt(11) + 8624","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 105 + -108. Suppose -5*x + 5 = 0, -3*v - 50 = 2*v + 5*x. Let p = 4705\/7 - 672. Put 2, v, p, u in decreasing order.\nAnswer: 2, p, u, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*v + 311 = 1961. Is 8 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = d**2 + 4*d - 5. Let n be z(-4). Let q be (6\/n)\/((-6)\/20). What are the prime factors of q + (-4)\/2 + 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify u**(-2\/29)\/(u*u*u\/(u*u*u*u**5))*(u\/((u*u**1)\/u*u)*u*u*u)\/u*u**5 assuming u is positive.\nAnswer: u**(317\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 0 - 1)*((-2*s - s + s)*(4 + 3 - 5) + 1 + 7*s - 1).\nAnswer: -9*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in -1\/42, 1\/8, 2\/5, 0.14?\nAnswer: -1\/42","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -75*a = 14*a + 36*a - 125. Let t(z) = -z + 1. Let x(h) = -6*h - 15. Calculate a*x(g) - 4*t(g).\nAnswer: -2*g - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = 2*z**2 + 4*z + 5. Let n(r) = 4*r**2 + 9*r + 9. Let d(v) = 5*c(v) - 2*n(v). Suppose 2*q - 3 = -0*q - 3*s, 4*s = -20. Is d(q) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (4\/(-16))\/(3\/(-48)) + 9759. Suppose -4*c + k = d + 2*d, -3*d - 2422 = -c. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -50 + 279. Suppose 37 = -4*w + d. What is the highest common divisor of w and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -1 - -5. Suppose -z = z + s + 1, 18 = a*z - 2*s. What are the prime factors of (-92)\/(-28) + z\/(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 55216?\nAnswer: 2, 7, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 364 and 5012.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) be the second derivative of -1327*p**8\/7 + 5869*p**4\/12 - 68*p - 49. Find the third derivative of d(o) wrt o.\nAnswer: -1273920*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 l and 1 x when three letters picked without replacement from lllglxgxlgxmglm?\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = -z**3 + 5*z**2 + 13*z + 4. Give q(7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = -q**3 - 10*q**2 + 10*q - 8. Let d be l(-11). Solve 7*o - d*o = -16 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*u - 7*u = -121 + 2457. What is the greatest common factor of u and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2982\/48 - (-1)\/(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-7138 - -7224) + 16 + 1?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -5 + -1 + (-10 - -6). Is (-2)\/g + (-396)\/(-45) + 0 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s - 5 = -13. Let u be (4\/s)\/((-4)\/(-14)). Suppose 3*m = 14 + u. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -9530 + 9530.1. Let r = 10\/7 - -1\/14. Which is the nearest to t?  (a) 2\/5  (b) r  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 134*k - 131*k - 67172 = c, 3*k - 67152 = -3*c. What is the tens digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.14*-0.0479\nAnswer: 0.006706","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -307\/8 - -929\/24. What is the nearest to j in 3, 0.2, 2\/11, -31?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is b (base 14) in base 12?\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-12 + 0)*(-4)\/12. Suppose 9 = u + 2*y, 4*y + y = p*u - 101. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 a factor of 2097?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*r + r + r)*(-4*r**3 + 3*r**3 + 4*r - 3*r).\nAnswer: -4*r**4 + 4*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 132*v**2 + 0*v - 141*v**2 + v to w*v**2 + i + t*v and give w.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 7\/28*4*4\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = -4*o - 14. Let v be c(-4). Suppose -2*h = -v*z - 78, 0 = h + 6*z - 4*z - 30. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.232 and 9?\nAnswer: -2.088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = 14*w**2 - 3*w + 22. Calculate the remainder when h(3) is divided by 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = 1375*b**3 + 2*b**2 + 2*b - 4. Let u be n(-2). What is u rounded to the nearest ten thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10935706 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -37046320 rounded to the nearest one million?\nAnswer: -37000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = n - 6. Let i be k(4). Let z be (-4)\/(6 + i) + 2. Let a(r) = 7*r. Determine a(z).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 6\/25 in 7\/223, -0.2, 0.03, -2\/7?\nAnswer: 7\/223","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -42*b = 18*b - 59*b - 5*x + 3, -3*x = -5*b + 29 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*q**3\/13 + 44*q**2\/13 - 242*q\/13 = 0. Calculate q.\nAnswer: 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Product of -3.1 and -7.\nAnswer: 21.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -16*x + 241 + 319 + 242 - 425.\nAnswer: -16*x + 377","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(49)\/(sqrt(14)\/sqrt(2)) + -1*sqrt(448))**2.\nAnswer: 343","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 720\/48*2\/(-3)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 104883 + 166954*s - 104883.\nAnswer: 166954*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from bxqba. Give prob of sequence bx.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = j**3 - 188*j - 566. Give w(-3).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*((-5*(sqrt(38) - sqrt(342)))\/(2*-2*sqrt(2)))**2*6 + 1.\nAnswer: -1423\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express (11*x**4 - 2*x**2 + 2*x**2)*(-2 + 1 + 3)*(-2 - 2 + 6)*(-2 + 2 - 2) as f*x + g*x**3 + b + c*x**2 + u*x**4 and give u.\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 91 - 74. Which is smaller: 16 or n?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-4)\/(-18)*-3*6. Let y be (f\/(-8))\/((-2)\/524). Let o = y + 129. Which is the closest to 0.2?  (a) 2  (b) o  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -538 + 1523. Let f = -191 + m. List the prime factors of f.\nAnswer: 2, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1305711 to the power of 1\/3, to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.115 + 4.115. Let r = -0.92 + 0.12. Let g = -0.8 - r. Which is the second biggest value?  (a) g  (b) x  (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w - 8 = 4*k + 7, 0 = 5*k - w - 5. Suppose k = 2*b - 6*b. Solve -l - 3*l + 5*p - 10 = b, -33 = 5*l + 4*p for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 528 and 432?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = -5*d**3 - 2*d**2 - 3*d - 6. Let k(m) = 0*m**2 - 2*m**2 + m**2 - 1. Let t(q) = -3*k(q) + o(q). Is t(-2) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = -76*f**2 - 3037*f - 2801. What is y(-39)?\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (3 - -13)\/1 + 1. Let o(f) = -3*f**2 + 265*f - 212. Let y be o(87). What is the highest common factor of p and y?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is b5a0 + 23a?\nAnswer: b81a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 38474307 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is (80\/(-880))\/(4\/8)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -46 divided by 51\nAnswer: -46\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (21\/1)\/(-3)*-1. Let k = -54 - -23. Let u = k - -34. Put u, j, -1, -3 in decreasing order.\nAnswer: j, u, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = l**2 + 14*l - 490. Determine x(-30).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -1.5  (b) 0.07  (c) 9144  (d) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence nzn when three letters picked without replacement from inzna.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = 2*c**2 - 2*c - 2. Let a(t) = 1975*t**2 - 60*t - 60. Give -a(i) + 30*s(i).\nAnswer: -1915*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 81363322 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -5522722, -11045454, -16568192, -22090936, -27613686?\n\"Answer: -3*u**2 - 5522723*u + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 2783059117 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -190800, -190872, -190944, -191016?\nAnswer: -191088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1179\/211 or 6?\nAnswer: 1179\/211","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 5\/11  (b) 0.8  (c) 4  (d) 1\/11  (e) -0.12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 80113837.\nAnswer: 80113837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -14558*a**2*l**3 + a*l**3 - a - 2*l**3 - 1168 wrt a?\nAnswer: -29116*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Are -1 and -32\/1158145 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -182 = -155*p - 4367 for p.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 4 and 13990.\nAnswer: 27980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.2 take away 2123711717423?\nAnswer: -2123711717423.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 45361524.\nAnswer: 2, 3, 13, 101, 2879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -9 + 1.5. Let c = 7 + r. Sort 0.4, c, -4 in ascending order.\nAnswer: -4, c, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b*b**(2\/13))\/b)\/b*b**(-2\/15)*b**(-3)*b**(1\/5) assuming b is positive.\nAnswer: b**(-737\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = a**3 - 5*a**2 + 7*a - 6. Give c(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 130, 255, 382, 511?\nAnswer: 642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i - 10 = 34. Let r = -7 + i. Solve -w - 8 = u - r*w, -5*u - 5*w + 40 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 4 + -1. Let i(a) = 7*a**2 + a**j + 5 + 5*a - 7 + 0. Calculate the remainder when i(-4) is divided by 17.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 43 - 20 = -9*a - 76 for a.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in 0, -199.47, -0.1, -5, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 61\/5, 5, -1.2, 0.4, 3, 3\/8, 4\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = -4*r**3 + 7*r**2 - 7*r - 7. Let c be (-2 + (-4)\/(-3))*6. Let a(w) = w**3 - 2*w**2 + 2*w + 2. What is c*h(g) - 14*a(g)?\nAnswer: 2*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 18549430?\nAnswer: 2, 5, 1854943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 y, 1 t, and 2 s when four letters picked without replacement from {d: 3, k: 1, s: 2, t: 4, y: 4}.\nAnswer: 16\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round 79260 to the nearest one thousand.\nAnswer: 79000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Put 449089, 6, -9 in increasing order.\nAnswer: -9, 6, 449089","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-28)\/84)\/((-170)\/60)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 80658*(-2)\/((-108)\/9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 35 minutes after 5:28 PM?\nAnswer: 6:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 1 + -14 - (2 + -1). Let o be 66\/v + 6\/(-21). List the prime factors of 2\/o + (-104)\/(-10).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 7 - ((-10 + 1 - 8) + 14)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -h + 0*h + 2*p = 4, -h = 5*p - 3 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-49 - -54 - (19 - 0)) + 53.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 57963045?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((w\/(w*w**9*w*w))\/w)\/w**(1\/16))\/(w**1)**(-3\/8))**(5\/7) assuming w is positive.\nAnswer: w**(-935\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.2 and -0.25259239?\nAnswer: 0.050518478","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:52 PM and 6:32 AM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -3 + 3\/(3\/7). Suppose -72 + 20 = -m*j. Is j a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1166197 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*t + 34965 + 48965 = 0. List the prime factors of t.\nAnswer: 5, 11, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -112 = 2*x - 114 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -39869 - -61584. What is the ten thousands digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*y**2 - 253688*y\/3 + 31121312.\nAnswer: 4*(y - 20766)*(3*y - 1124)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*q - 8 = -3*q. Let l = 215.8 - 216. What is the closest to q in l, 0, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 93683 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 178158.\nAnswer: 2, 3, 23, 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 55, 34, 13, -8, -29?\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o + 5*d = -5234 + 623, 5*d - 3467 = 3*o. Suppose 0 = -3*l + 2*l + 1639. Let k = o + l. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00585713461 to 4 dps.\nAnswer: -0.0059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h + h - 6 = 0. Is 3\/(-3)*(2183 + h)*-1 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 63\/(-420) + 2214\/360. Let o(a) = 7*a - 9*a + 12 + 7*a**2 - a**3 - 8*a. Determine o(u).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 17\/51 + 2\/(-42).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 0 - 261?\nAnswer: -261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Does 27 divide 55184571?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -28 - (69 + -131 + 82)\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: (-1116 - -1079) + ((4 - 0) + -3 - -6)\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2 in -0.041, -1\/6, 1413?\nAnswer: -0.041","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) be the first derivative of c**5\/60 - c**4\/6 + c**2\/2 - 6. Let f(p) be the second derivative of w(p). Give f(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 8, -0.0597, -10, 5, 2\/13, -3\/8?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 11944 and 136.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 11.9932 years in centuries?\nAnswer: 0.119932","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/2 in -0.2, 0.6, 1\/6, 2\/89?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: (15 - 1)\/(-26 - 14229\/(-540))\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8159200739 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -2.04929 - -0.04929. What is the biggest value in -1\/3, d, 2\/15, -27?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -4426, -19093, -43538, -77761?\n\"Answer: -4889*j**2 + 463","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -10, -64, -204, -472, -910, -1560?\nAnswer: -2464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 72\/10*3245\/(-1947)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = 13*g + 1. Let u(d) = 168*d + 14. Let w(l) = -77*i(l) + 6*u(l). What is w(-6)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 6 + -3. Suppose -12 = -t*f, -5*w - 2*f + 91 = 2*f. Suppose 5*l - w = -0*l. Solve 0 = -6*q + l*q - 12 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 2, t: 11, r: 2}. Give prob of picking 2 b.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = -2*j + 10. Let p be 1\/(2 + (-34)\/18). Suppose -d + p = 17. What are the prime factors of v(d)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*sqrt(80)*-1 - (2*sqrt(5)*-1 + sqrt(5) + 2*sqrt(245))**2.\nAnswer: -845 + 24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 5\/3 + 21\/(756\/(-24))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (216\/(-252))\/(44\/(-10) + (-20 - -25))?\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 108 and 96.\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = -2*s**3 + 51*s + 10. Let p(o) = -2*o**3 + 60*o + 11. What is 6*p(l) - 7*z(l)?\nAnswer: 2*l**3 + 3*l - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = -l**3 + 13*l**2 - 12*l - 2. Let a be p(12). Let h = 2 - a. Solve h*g + 2*s + 22 = -g, 0 = 5*s + 5 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) be the second derivative of k + 2*k**2 + 0 + 1\/3*k**3. Let c(j) = j + 2. Let l(d) = -5*c(d) + 2*h(d). Differentiate l(a) wrt a.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 19.31 + -19.3. Let n be ((-6)\/(96\/(-28)) - 1)\/3. What is the fourth smallest value in x, n, -5, 0?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = 2*f. What is g(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 154380 and 30?\nAnswer: 154380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {r: 9, t: 2, q: 6}. What is prob of sequence tqtq?\nAnswer: 1\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z - 2*x + 2558 = -4860, z = 2*x + 1857. Is z a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = -8*o - 25. Suppose -10*r = -7*r + 9. Let f be p(r). Let m be (5 - 3)*(1 - 15\/f). What is the greatest common divisor of m and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2*14\/(-4))\/(((-414)\/(-72))\/(-23)).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 6995 + 1088. List the prime factors of g.\nAnswer: 59, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, -5, -1, 4, -90 in decreasing order.\nAnswer: 4, -1, -4, -5, -90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 0 divided by -736\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 2 - (3\/(-5) + 5868\/2280). Is k equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 511*f**3 - 156*f**3 - 243*f**3.\nAnswer: 112*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-155*f**2 + 68*f**2 - 1 + 71*f**2)*(4*f**2 - 3*f**2 - 5*f**2).\nAnswer: 64*f**4 + 4*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = -g**2 + 2*g - 1. Let q(t) = -2*t + 2. Suppose -n = -z - 6, 10 - 7 = 3*z + 4*n. Determine z*q(x) - 4*m(x).\nAnswer: 4*x**2 - 2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express (-5*b**3 + 8*b**3 + 6*b**3)*(2*b + b + 2*b)*(1 + 0 + 2) in the form t*b + y*b**2 + c + w*b**4 + r*b**3 and give w.\nAnswer: 135","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 27 = 4*p - 3*p. Suppose 2*m + 3*m = 25, 3*w + 3*m = 60. What is the remainder when p is divided by w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -125, 3, -31 in descending order.\nAnswer: 3, -31, -125","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 21 a factor of (-12)\/(-18) + 290\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 8 + (-6 - (-7 + 3)) - (-11 + 36).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 5\/98 and -61\/980.\nAnswer: 980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -78*i - 24 = 41 + 13. Let n = 2 - 2. Sort n, 2, i, 3.\nAnswer: i, n, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11239 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -15472, -30926, -46382, -61840, -77300, -92762, -108226?\n\"Answer: -c**2 - 15451*c - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 767205904 and 21768?\nAnswer: 7256","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -2235235 + 321?\nAnswer: -2234514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 1.9 and -0.0278?\nAnswer: -0.05282","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -105\/16, 0.5, -4, -5, -203?\nAnswer: -203","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 61 = 5*c + k - 3*k, 0 = -2*c + 5*k + 37. Suppose -4*b = 5*j - 393, 4*b = 4*j - 435 + 135. What is the greatest common factor of c and j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 9645274 is divided by 460?\nAnswer: 454","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u - 3*m + 10 = 0, 5 - 19 = -u + 5*m. What is the smallest common multiple of u and 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:25 PM and 5:30 AM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = 4*q**2 - 55*q + 43. Let i be g(13). Let y be (9 - 6) + -4*(-4)\/(-8). Solve -4*z = -i, -t + y = t + z for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h = -3*h - 2*r + 17980, 4*h = r + 14397. What is the thousands digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 60017 and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 0 and -0.0487?\nAnswer: 0.0487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 14976 and 111?\nAnswer: 554112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 148896 and 865854.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -29978487, -59956979, -89935475, -119913975, -149892479, -179870987, -209849499?\nAnswer: -239828015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 78786.29 centimeters in kilometers?\nAnswer: 0.7878629","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*2*sqrt(22)*-2)\/(sqrt(2) + sqrt(32)*-3 + -2*sqrt(128)).\nAnswer: 8*sqrt(11)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -129*t - 127*t + 386*t - 125*t.\nAnswer: 5*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) be the third derivative of k**5\/20 - 9*k**4 - 386*k**2. Find x, given that b(x) = 0.\nAnswer: 0, 72","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) be the first derivative of 3*w**2\/2 + 3769. Let f(s) = 3*s. Determine 6*f(r) - 7*k(r).\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 167527?\nAnswer: 233, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = -4*g**2 + 10*g - 7. Let p(z) = -z**3 + 17*z**2 - 43*z + 7. Let a be p(3). Determine k(a).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 70*p**4 + 13*p - 395*p**4 - 139*p**4 wrt p.\nAnswer: -5568*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = -7*r**3 - 8*r**2 - 27*r - 38. Calculate n(-3).\nAnswer: 160","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = -u**3 - 7*u**2 - 9*u - 20. Let g be p(-6). What is the nearest to 0 in -0.05, g, -1, 4?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1080073154?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 24486 is divided by 2501?\nAnswer: 1977","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 54, -1.9, 45, -3?\nAnswer: -1.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 73525000 divided by -3400?\nAnswer: -21625","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 2510 - 946. What is the thousands digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-7)\/2*((-2448)\/112 + (-26 - -73))?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h = h. Suppose -v + 208 - 61 = h. Suppose v = -2*y + 5*y. What is the tens digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 234987 or 234983?\nAnswer: 234987","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8*r + 8 + 7 - 15.\nAnswer: 8*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round -101.33408564 to the nearest 10.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -32 - -34. Solve b = 4*w + 12, -w + v*b = w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14972254537 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2*z + 0 + 0)*(-1 + 0 - 5)*(-2 + 2 - 3) + 19*z - 2*z - 37*z to u + k*z and give k.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 20 + -9. Is d a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = -3*m + 14. Suppose -85*i + 161*i = 82*i + 60. Determine o(i).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (x + 3*x - x)*(19 - 8 - 13).\nAnswer: -6*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = -5*g. Let c(n) = 13382*n. Give j(c(r)).\nAnswer: -66910*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = 5*h**3 - 3*h**2 - 3*h - 3. Is y(3) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 6 + -4. Let j(b) = 2*b**2 - 9*b + 1. Let w(f) = -f**2 + 5*f. Let h(v) = 3*j(v) + 5*w(v). Calculate h(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 195 and 65.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*f + 701644 = 34*f - 315328. Is 30 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1891, -3784, -5679, -7576?\nAnswer: -9475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = n**2 + 8*n + 8. Let p be z(-7). Solve -2*v - 8 = -3*x + p, 3*v + 1 = 2*x for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2105\/1263*(-10)\/8*2\nAnswer: -25\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Work out -62392.5 * 5.\nAnswer: -311962.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is (2\/(-3))\/(2\/(-2)*(-10)\/180)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = 5*a**2 + 18*a - 1. Let n(b) = -1 - 4 + 12*b + 4 + 0*b**2 + 3*b**2. Let o(f) = 5*h(f) - 8*n(f). What is the remainder when 57 is divided by o(9)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 31053 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 768 + 9175a?\nAnswer: 920c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2821 + 22*j - 28*j - 25*j - j**2.\nAnswer: -j**2 - 31*j - 2821","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.7 + 0.3. Let w = -7 - -11. Let g be (4\/42)\/((-14)\/(-21)). What is the third smallest value in w, u, g?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -3.6 and -2?\nAnswer: 7.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p\/(p*p**(-1\/8)*p)*p)\/(p**(1\/2)*p)*p**(-4)*p\/(p*p**(-1\/8)*p))\/((p**(1\/6))**(-8))**19 assuming p is positive.\nAnswer: p**(229\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**(-6)*q*q**(-1\/2))\/(q\/(q**(1\/2)\/q)*q\/q**(-1\/4))*((q*q\/(q\/q**5))\/(q*q\/q**(-2\/21)))\/(q*q**(-6)*q**(1\/7)\/q*q*q) assuming q is positive.\nAnswer: q**(-41\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round -96.06 to the nearest ten.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 381626 is divided by 999.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v - 5*c - 636226 = 0, -23*v + 636202 = -21*v + c. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 1 = 2\/3779?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in n + 143*n**2 + 92*n**2 - 72*n**2 - 11*n**2.\nAnswer: 152*n**2 + n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-5 + (-5*3*sqrt(1470))\/(sqrt(20)\/(sqrt(22)\/(sqrt(22)\/sqrt(2)))))**2 + -3)*5.\nAnswer: 5250*sqrt(3) + 165485","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(35)*3)\/sqrt(7) - (sqrt(20)\/sqrt(4) + 5)) + 5*(sqrt(605) + sqrt(605) + sqrt(605)*-2) + -3.\nAnswer: -8 + 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2 (base 7) to base 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -212302*p*z**5 + 3*p*z**2 + 12347*p - 27*z**5 + 253*z**2 wrt z?\nAnswer: -12738120*p*z**2 - 1620*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -4?  (a) 0.5  (b) 4  (c) 0  (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (17*s**2 + 7*s**2 + 26*s**2)*(s**3 - 41*s**3 - 2*s**3) - 4*s**2 + 4*s**2 + 2*s**5.\nAnswer: -2098*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = -m**2 - 17*m - 27. Let w be s(-15). Solve -2*r - w*r = -5 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.1862716 less than 70932?\nAnswer: 70932.1862716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 253671877 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b + 2*o = 40, -b - 14 = -5*b + 2*o. Sort b, 3, -11, -4, 0 in decreasing order.\nAnswer: b, 3, 0, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) be the second derivative of -5*z**4\/12 - 5*z**3\/6 + 15*z. Factor j(h).\nAnswer: -5*h*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 514751004?\nAnswer: 2, 3, 4766213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-152)\/(-96)*29850\/11343.\nAnswer: 25\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -2\/469 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -4\/11  (b) -0.13  (c) -0.8  (d) -8  (e) 10\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -45 - -6. Does 28 divide h\/52 - (-230)\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = -36*d. Let y(a) = a. What is -u(j) + 3*y(j)?\nAnswer: 39*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = -y**3 + 6*y**2 - 4*y - 2. Let f be b(5). Solve 0 = -5*k + 3*q - 1, 2*k - 2*q + f*q + 7 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 115904 and 40?\nAnswer: 579520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n + 38 = 4*h, 4*n + 69 = 2*h + 257. Is n a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 322 - 544. Let k = w + 96. Let z be 4\/6 + (-24)\/k. Is z greater than or equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/(-4)*14\/56?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 0.5  (b) -1\/84  (c) 0  (d) -0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 5424955597?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -0.0512 - -3.0512. Let l be (1 - 0)\/(1 - 2). What is the second smallest value in 4, 0.1, b, l?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 28 + 144. Let l be (5\/2)\/(2\/4). Suppose -l*p = -g - 48. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -21723 rounded to the nearest ten thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 1793400 and 627690?\nAnswer: 12553800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 101 is divided by 29.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*i - 5*i + 9. Suppose 0 = 5*k + 3*o - 50, 0 = i*o + 1 + 14. What are the prime factors of k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = 52*z - 9. Let v(w) = w**3 + 10*w**2 - 12*w + 5. Let n be v(-11). Let t be 0 + 7 - (15 - n). Is b(t) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 364.9 + -365. What is the closest to f in 4\/3, -0.07, -1?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -2 - 1887?\nAnswer: -2000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 951757 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 997?\nAnswer: 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1 + -24. Let l = f + 4. What is the closest to -0.1 in -4, -0.5, l?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -124*j - 97*j + 501*j - 261*j.\nAnswer: 19*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -91*1.73\nAnswer: -157.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (4\/(-2))\/(-1 + 4). Let t = 10\/27 + -121\/108. Let z = 0.53 - 2.53. Which is the closest to z?  (a) f  (b) -3  (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 687463 and 51?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*i = 4*i. Suppose i = t + 494 + 379. Let k = -332 - t. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -8904840 rounded to the nearest ten thousand?\nAnswer: -8900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 368726 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y - 3*y - 180 = 0. Let q = y - -42. Let t be (q\/4 + -3)\/(5 - 4). Sort 9, t, 1.\nAnswer: t, 1, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3330 is divided by 62.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10 = -8*y + 98 for y.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 29812.\nAnswer: 2, 29, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) be the first derivative of -m**4\/34 - 8*m**3\/51 - 5*m**2\/17 - 4*m\/17 + 10. Find a such that o(a) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 373 is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = k. Let q be h(-5). Let y(c) = -4*c + 2. Is y(q) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -117 - -198. Let r(w) = -84*w + 337*w - 89*w - m*w - 13 - 84*w. What is r(-9)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -44 + (-27 - -24) - -51?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:30 AM and 9:04 PM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 117149962.\nAnswer: 2, 73, 337, 2381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) be the third derivative of h**6\/120 - h**5\/12 - h**4\/8 - h**3 - 2*h**2. Let y be b(6). Let l be 0\/(0 - 2)*1. Solve l = -3*d - d - y for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 3.78 + -7.78. What is the second biggest value in 1, 7\/22, n?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = -o**3 + o + 6. Let j(q) = 2*q. Let w be j(-1). What is the remainder when u(0) is divided by -12*(-1 + w\/(-3))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(36)\/(sqrt(192)*2) + (4 + sqrt(27) - (sqrt(108)*-2)**2).\nAnswer: -428 + 25*sqrt(3)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*-1*sqrt(539) + sqrt(539) + sqrt(539) + -2 + 0 - (sqrt(539)*-2*3 - (1 + sqrt(539))*-6))**2 + -2.\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -0.45 or 3\/19?\nAnswer: -0.45","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 2 - 1 - (-5 + 3). Suppose y*c - 4*z = -c, -6 = -2*z. What is the derivative of -10 - 60*i + 8*i**c + 60*i wrt i?\nAnswer: 24*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 19596.735 nanoseconds in minutes?\nAnswer: 0.00000032661225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 381343 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -71\/15902640 and -7\/52.\nAnswer: 15902640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 6*v**2 + 0)*(-2*v + 3*v - 2*v)*(-5 + 1 + 3)*(v - 2*v - v).\nAnswer: -12*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*f = 36*f + 1 + 169 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 35 (base 13) to base 5.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = u**2 + 6*u - 6. Let f be c(-7). Is f at most as big as 10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2297*l*u**4 - 25*l*u**3 - 1291863*l*u - 2*u**2 wrt u.\nAnswer: 55128*l*u - 150*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Put 33, -0.4, 1\/2 in increasing order.\nAnswer: -0.4, 1\/2, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 474, 507, 598, 777, 1074, 1519?\nAnswer: 2142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -271 - 0.0367028?\nAnswer: -271.0367028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = 44*q**2 + q - 1. Let r be f(-1). Let d = r - -6. Is 24 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 0.4  (b) 0.104  (c) -5  (d) 14  (e) 1\/4  (f) 5  (g) -107\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 13 and -12124.5.\nAnswer: -157618.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = 410 + 2*w**2 + 27*w - 410 - 27*w. Let p(a) = -187*a. Give p(z(r)).\nAnswer: -374*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = 4*l**3 - 112*l**2 + 91*l - 26. What is u(27)?\nAnswer: -485","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 209 minutes before 4:42 PM?\nAnswer: 1:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 2555, 2698, 2921, 3212, 3559, 3950, 4373?\n\"Answer: -2*v**3 + 52*v**2 + v + 2504","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from {n: 9, x: 2}.\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1 + 1. Let q be (2\/(-2) - 3) + -2 + 3. Let f be 0*q\/24*-4. Solve -j*u + f = 2 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 15, -85, -18.\nAnswer: -85, -18, -5, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -0.5, 0, 0.328, 0.1, 2\/7, -4, 1\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"}
{"text":"Question: Solve 97*p + 48 = 113*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 19, -6, -35, -68, -105, -146, -191?\n\"Answer: -2*l**2 - 19*l + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is (4\/8 + 0)*382 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -74?  (a) -4  (b) -1\/4  (c) 0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express -36*g**4 - 54*g**4 + 24*g**4 + (3 + g**4 - 3)*((1 - 1 + 1)*(-1 + 5 - 3) + 3 - 2 + 1) in the form q + m*g**2 + x*g + f*g**4 + z*g**3 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from fffuu.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 639 = 3*z - 1752. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 1\/4  (b) 23  (c) 3  (d) -29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence gq when two letters picked without replacement from {w: 1, a: 2, h: 1, g: 2, z: 2, q: 1}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 1\/3  (b) 0.1  (c) 10  (d) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 202, 502, 796, 1084, 1366, 1642?\nAnswer: 1912","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 127 - 122. Calculate the highest common divisor of a and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -10783.600163918 - -10783.6. Round f to six dps.\nAnswer: -0.000164","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (15\/2 - 2)*(-40)\/(-110). Solve 10*m = -k*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -159691294*z**3 - 4*z**2 - 85532260*z.\nAnswer: -958147764*z - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 224 and 6304.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -193, 17, -5, 8 in descending order.\nAnswer: 17, 8, -5, -193","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w = 4*n - 0*w - 26, -2*n - 2*w = -8. Calculate the highest common divisor of 144 and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 5 + -4.7. What is the closest to -1\/2 in a, -3\/7, 0.1?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 7 - (-17 + 39) - (1 - 7)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**(-1\/5)*y*y**11)**(2\/13)*(y**(-8)\/(y*y**1))\/(((y*y**(1\/5))\/y)\/(y*((y\/(y\/((y*y**4)\/y)))\/y*y)\/y)) assuming y is positive.\nAnswer: y**(-57\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 336, 303, 212, 33, -264, -709, -1332?\nAnswer: -2163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ngo when three letters picked without replacement from {o: 3, g: 2, n: 1, y: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1651029 to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 14103 to the power of 1\/4, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 10 - 15. Let o be (-4)\/(-14) - 264\/(-56). Let q(v) = 4 - o - v**2 + 4*v + 0*v**2 + 2*v**2. Give q(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 + 2 - (98 - 132) - 7?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-10)\/(-4) - ((-88)\/16 - -6). Find the second derivative of -63*z + 46*z**r - 100*z**2 - 68*z**2 wrt z.\nAnswer: -244","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 + 8 = m. Suppose -m*k + 5117 + 2158 = 0. Suppose -5*g + k = -2*v + 4*v, 4*v - 273 = -g. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 98039 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i be -3 - (-1)\/(1\/3). Suppose 0 = 5*t + 5*q + 6 + 4, -4*t - q = -4. Let c(p) = -3*p**2 - 6. Let w(f) = -13*f**2 - 25. Let v(u) = t*w(u) - 9*c(u). Give v(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 7324 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*((sqrt(5040) - -2*sqrt(5040)) + sqrt(5040)) + -4*1*sqrt(5040))\/(sqrt(45) - sqrt(2880) - (-3*sqrt(405) + sqrt(405))).\nAnswer: -80*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 8 and 656416?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*b + 25 = -5*q - 0*q, 4*q + 45 = -b. Let h be 4*6\/(-4) + q + 13. What is the units digit of h\/(-3 - (-126)\/43)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*z - 5*f = 2*z - 16, 0 = -3*f for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = 8*d + 10. Let y(c) = 5*c + 4. Let g(h) = -5*y(h) + 3*z(h). Give g(-7).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*b - b + 0*b + (-3*b + 0*b + 4*b)*(1 + 1 + 1))*(-3 - 11 - 1) + (4*b - 2*b - b)*(-6 + 3 + 1).\nAnswer: -77*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -723 + 716. Let u be (1\/(-1))\/(v + 8) - -4. Solve -u*r + 2 - 5 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -818, -1627, -2436, -3245?\n\"Answer: -809*m - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 16998?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -105, -218, -325, -420, -497, -550, -573, -560?\nAnswer: -505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*v = 15 - 9 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/5 in 1, 0.044, -3?\nAnswer: 0.044","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((4*(sqrt(200)*6 + sqrt(350)\/(2*sqrt(7))))\/(sqrt(70)\/((sqrt(343)\/sqrt(7))\/sqrt(7))*5))**2.\nAnswer: 500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 924*4\/(-112) - 196\/(-2)\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = 3*o**3 - o**2. Let m be i(-1). Let z(n) = -11*n + 2. Is 15 a factor of z(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 4 + 16. Solve -3*n - n = -x for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = -q**4 + q**3 - q**2 + 1. Let w(d) = -30*d**4 - 15*d**3 + 40*d**2 + 10*d - 5. Let a(y) = 5*f(y) + w(y). Factor a(h).\nAnswer: -5*h*(h - 1)*(h + 1)*(7*h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 29678824?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.12?  (a) 4  (b) 1  (c) 1\/36\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 4\/((-4 - -5)\/5). Let f = -3 + o. Suppose -f = -5*u + 83. Does 10 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 a factor of 477?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-7*z + 1 - 1)*(4*z - 5*z - 3*z + (-z + 0*z + 2*z)*(-4 + 3 + 2) - 2*z - 2 + 2)*(-z - 2*z + 5*z) to y + r*z + m*z**3 + b*z**2 and give m.\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = 10*v - 3. List the prime factors of y(5).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 10 + -9 + 299\/(-183). Let o = r + -2\/61. What is the nearest to o in -0.2, 5, 2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = 7*b - 9. Let o be x(12). Let w = -50699\/70 - -3611\/5. Calculate the common denominator of w and ((-12)\/(-10))\/((-132)\/o).\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1155724 millilitres in litres?\nAnswer: 0.0001155724","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = -2*r**2 + 4*r + 2. Let a be z(5). Calculate the common denominator of (-1210)\/a - (-2)\/7 and 12\/11.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c - 6*r = -7*r + 41, 5*r = 5*c - 65. Let h be (c\/6)\/((-2)\/(-4)). What is the first derivative of -h*w - w + 3*w - 4 - 3*w wrt w?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3044?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 2 - 1)*(5*w - 5 + 5).\nAnswer: -15*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -107*m = -108*m + 29. What is the smallest common multiple of m and 9?\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -61\/140940 and -59\/4320.\nAnswer: 1127520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1452 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = -1. Let g(z) = z - 3. Let b(a) = -g(a) + 4*m(a). Let c be b(-3). Suppose 3*j - 16 = -c*i, j - 4*j + 10 = -i. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c - 412 = -4*r, 35*r - 34*r = 3*c - 1275. Let i = 843 + c. List the prime factors of i.\nAnswer: 7, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3105\/(-126)*-2630 - (-2)\/7 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14 = 3*f + 4*z, -34*z + 82 = 5*f + 160 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*j**3\/4 + 2165*j**2\/4 + 62820*j - 63360 = 0.\nAnswer: -96, 1, 528","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 d, 1 n, and 1 s when four letters picked without replacement from sdsdjsjdjjjdsjn?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w + 36 = 2*d, -2*d + w = 2*d - 36. Suppose -3*y + d = y. Factor 6*c - 4*c + c**y + 1 + 0.\nAnswer: (c + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_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: What is 637 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1884 - -1297. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = j. Let t(r) = r - 4*r + 0*r. What is t(d(f))?\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -3682 (base 9) in base 7?\nAnswer: -11003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = x + 1. Let k(n) = -2*n**2 + 6*n - 3. Determine 3*h(q) + k(q).\nAnswer: -2*q**2 + 9*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5.86165 + -0.0165.\nAnswer: -5.87815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1230 + -6171\/5. Let j = n - -43\/15. Is -2 >= j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z*z**5*z)\/z*z**(1\/8))\/(z**(-7)*z\/z**4) assuming z is positive.\nAnswer: z**(129\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*a**2 + a**4 + 2*a**2)*(-20 + 20 + 5*a) - 2*a**5 + a - a + (0 + a + 0)*(101*a - 49*a**4 - 101*a) - a**4 + a**4 + 3*a**5.\nAnswer: -43*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 379507 to the power of 1\/3, to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 0.4 times 181216145\nAnswer: 72486458","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 658926 and 6462?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(63) + -5 + sqrt(35)\/(sqrt(15)\/sqrt(3)) - ((sqrt(21) + sqrt(336))\/sqrt(3) - sqrt(77)\/(sqrt(99)\/sqrt(9))))**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = i**3 - 14*i**2 + 13*i - 3. Calculate q(13).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.0946462 - 165.\nAnswer: -165.0946462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((71140\/(-664))\/(-5))\/1. Let a = -6\/83 - p. What is the common denominator of 5\/16 and a?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 617730.\nAnswer: 2, 3, 5, 59, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 368*g + 1267*g - 62*g.\nAnswer: 1573*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 64422 and 4353426.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 38903 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round -2290.4 to the nearest one hundred.\nAnswer: -2300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 535 - 532. Does 66 divide 45\/(-9) - (0 - (f - -926))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -7, 3\/4, -42, 1\/43632, 2\/7, 2?\nAnswer: 1\/43632","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in 365.4762 minutes?\nAnswer: 21928572000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) be the first derivative of 0*c**3 + 2*c + 1\/4*c**4 - 71\/5*c**5 - 47\/2*c**2 + 8. What is the second derivative of q(b) wrt b?\nAnswer: -852*b**2 + 6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = s + 173898*s**2 - 173892*s**2 + 13 - 3*s + 4*s. Let o(r) = -7*r**2 - 3*r - 13. Give 4*o(i) + 5*p(i).\nAnswer: 2*i**2 - 2*i + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 greater than or equal to 2\/8897?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = -v**2 - 9*v + 1766. Calculate t(-47).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c = -3*j + 37197, -5*j + 38626 = -4*c + 112943. What is the remainder when c is divided by 110?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, -12, -3, 3, 6 in decreasing order.\nAnswer: 6, 3, 1, -3, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 17, 36, 65, 110, 177, 272, 401, 570?\n\"Answer: w**3 - w**2 + 15*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 401 divide 17797182?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -123564152*q**5 - q - 131070375.\nAnswer: -2471283040*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (24\/5)\/4*(-20)\/(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = 1167*l + 2004. What is the thousands digit of z(8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) be the third derivative of -6*d**2 + 1\/120*d**6 + 0 + 1\/2*d**3 - 1\/20*d**5 - 1\/6*d**4 + 0*d. What is v(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 18, 6, -2, 0, 18, 58, 126, 228?\nAnswer: 370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 68 + -62. Suppose 3*f = -0*z - 4*z - 6, 2*f - 10 = 2*z. Let u = f + -1. Calculate the smallest common multiple of u and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -28 (base 14) in base 4?\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c = m - 2*c - 635, -2*m = -3*c - 1255. Let i = 45 + -21. What is the tens digit of m\/i + 4\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r + 2*i + 4 = -2*i, 3*r + 4 = -4*i. Suppose 5*l + r + 10 = 0. Put l, -5, -11, 4 in ascending order.\nAnswer: -11, -5, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -84771 - -1?\nAnswer: -84770","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Does 389 divide 27565318?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -179545+212477\nAnswer: 32932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 348 and 2378.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 311245372*h**2 + 5169846*h - 9 wrt h.\nAnswer: 622490744","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 159*l = 1697616 + 1415763. What are the prime factors of l?\nAnswer: 3, 61, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-196)\/(-1421)*29*(-3)\/(33\/5)?\nAnswer: -20\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k - 3*k - 6 = -n, -5*n + 12 = -4*k. Put k, 1, -3, 0 in descending order.\nAnswer: k, 1, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = 22*n - 96. Let f(d) = 14*d - 64. Give -8*f(p) + 5*r(p).\nAnswer: -2*p + 32","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = -20*r + 4. Let v(d) = -284*d - 289*d + 869*d - 290*d. What is s(v(g))?\nAnswer: -120*g + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -27 + 29. Let d = -3 - -6. Let i be -2 + (46\/22 - 0). Which is the closest to d?  (a) p  (b) 0  (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + (2*sqrt(95)*-2 + sqrt(95) - (sqrt(95) - (sqrt(95) + (3*sqrt(95)*-1 - sqrt(95)))))\/(-3*sqrt(320)).\nAnswer: 7*sqrt(19)\/24 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2181535?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 233\/(1 - (-1 + 3)). Let x = 3493\/15 + a. What is the nearest to -2\/7 in -0.3, x, 0.1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4083 * 195\nAnswer: 796185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 8605857?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence tu when two letters picked without replacement from {t: 11, u: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (8 - -1) + 24 + -25. Let u be 50\/q + 7\/(49\/(-42)). Is u > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9.26942971 rounded to one decimal place?\nAnswer: 9.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10 + 31 = -7*x - 36 for x.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-1032)\/(-204) - 5)*(-10)\/20.\nAnswer: -1\/34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1.1 - -13.1. Let c = -11.99999997 + g. What is c rounded to seven dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00018229341 rounded to four dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -640, -4822, -16178, -38296, -74764, -129170, -205102, -306148?\n\"Answer: -598*j**3 + j**2 + j - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -1 (base 6) to base 8\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 4\/24*(-995316)\/4046\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = -6*b**3 + 5*b + 4. Let i be l(-1). Let q(m) be the first derivative of -m**3\/3 + 5*m**2\/2 - 7*m - 4. What is q(i)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 4 - 2 - 2)*(-2*b**3 - b**3 - 8*b**3).\nAnswer: -11*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 156*l**2 - 321*l**2 + 157*l**2.\nAnswer: -8*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 971 + -821. What is the remainder when p is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -79\/51524 and -25\/37472.\nAnswer: 412192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 185620770, 185620772, 185620774?\nAnswer: 185620776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 280 - 213 - (3 + -3 - (-1 + 3 - 3))?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 190229 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 88 - 75. Let s be d + -15 + 13\/6. Let x = 0.2 + -2.2. What is the third biggest value in s, x, 1\/3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (c + c - c)*(-626 + 507 - 2000) in the form x*c + p and give x.\nAnswer: -2119","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 24\/(-22)*(-572)\/104 + -5. Is l greater than or equal to -120?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*q**3\/5 + 7788*q**2\/5 - 10108824*q\/5 + 4373751184\/5 = 0. What is q?\nAnswer: 1298","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2718.\nAnswer: 2, 3, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 687224743 to the power of 1\/3, to the nearest integer?\nAnswer: 882","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) be the second derivative of -m**3\/2 - 2*m**2 - 1365*m + 2. Let z(p) = 7*p + 9. What is 5*f(i) + 2*z(i)?\nAnswer: -i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 88551916 to the nearest integer?\nAnswer: 446","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 112 - -10.4. Let h = w + -122. Let n be 3 - (-1)\/(3\/(-14)). Which is the fourth smallest value?  (a) 2  (b) h  (c) n  (d) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:27 PM and 1:09 AM?\nAnswer: 162","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"}
{"text":"Question: Differentiate -95*l**4*n**3 + 23*l**4*n + 23*n**3 + 2*n + 2 wrt l.\nAnswer: -380*l**3*n**3 + 92*l**3*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = 173*k**2 + 67*k + 1005. List the prime factors of o(-12).\nAnswer: 3, 11, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -2.4 - -2.41. Let q = 0.51 + w. Round q to 1 decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {f: 2, x: 11}. What is prob of sequence xxf?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 5589522249 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v + 17*m + 95913 = 18*m, -5*m = -11*v + 263815. 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 closest to 0 in -140, 1\/3, -4, -0.325?\nAnswer: -0.325","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 13, 22, 29, 34, 37, 38?\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 14\/33 - -53\/264. Calculate the common denominator of n and -77\/10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1637720 is divided by 186.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -0.003 + 0.103. Let o(k) = k**3 - 3*k + 3. Let y be o(2). Suppose 0*q + y = q. What is the nearest to c in -3\/4, -0.2, q?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 242 divide 186301988?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p + y + 38 = 0, 4*y - 1 - 1 = p. Let n = p + -10. Solve -2*v = 5*a + 3, 4*a - v - n*v = -9 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = 2*b**4 + 2*b**3 - 21*b**2 - 59*b - 38. Let j = -101 + 107. Let p(s) = -s**2 + s + 2. Let f(d) = j*p(d) + 2*g(d). Factor f(o).\nAnswer: 4*(o - 4)*(o + 1)*(o + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 10527 is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 1 + 2340?\nAnswer: 2341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 59817332 and 6?\nAnswer: 358903992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (-538)\/(-4) + -12 - 2\/(-4) is divided by 79?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4 + -4 + (6 - 1)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 476 divide 91992044?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 661*h - 2*d = 656*h + 25, -2*d = -h + 13 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = -3239*d + 93950. What is c(29)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from qdggxdt. What is prob of picking 1 x and 1 g?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 60666 divided by -8\nAnswer: -30333\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1032, -1054, -1072, -1092, -1120, -1162, -1224?\nAnswer: -1312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + sqrt(20)\/sqrt(4) + sqrt(30)\/(sqrt(12)\/sqrt(2)).\nAnswer: 3 + 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1\/(-1)*0\/(-32)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.2688 - 0.26876185. What is z rounded to 5 dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 3268, 9131, 17590, 28645, 42296, 58543, 77386?\nAnswer: 98825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 431473440 to the power of 1\/3, to the nearest integer?\nAnswer: 756","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2 - (3 - 1)) + 2 + (-10 - -12).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*k - 2*k**5 + 2*k + (-5*k**3 + 0*k**3 + 4*k**3)*(3*k**2 + 4*k**2 - 5*k**2) + 13*k**5 + 2*k - 2*k - 2*k**5 + 3*k**4 - 3*k**4.\nAnswer: 7*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 28991\/8286 + 5\/4143. Factor 0*p**2 - 23\/2*p**4 + 0 - s*p**5 + 0*p - 3*p**3.\nAnswer: -p**3*(p + 3)*(7*p + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1509?\nAnswer: 3, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = 33317*j. Let x(a) = -3*a + 7. Calculate s(x(k)).\nAnswer: -99951*k + 233219","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -31 + 68211?\nAnswer: 681a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {j: 4, z: 1, l: 2, w: 4}. Give prob of sequence jjj.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Work out -52 - 1553380708.\nAnswer: -1553380760","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) be the second derivative of -2 - 75*x - 1\/3*x**3 - 1\/6*x**4 - 1\/2*x**2 + 3\/10*x**5. Let z(j) = j + 2. Let d be z(-3). What is f(d)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.07 * -1101612\nAnswer: -77112.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1903 divided by -149.\nAnswer: -1903\/149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(2) - (sqrt(18) + sqrt(2) + -3) - (-1 + sqrt(128))**2) + 4.\nAnswer: -122 + 13*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -2.05 - -0.05. Let w = 8200 - 24898\/3. Let r = w + 99. Which is the second biggest value?  (a) d  (b) r  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:25 PM and 8:17 AM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 583 minutes after 12:59 PM?\nAnswer: 10:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 831488 is divided by 276982.\nAnswer: 542","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3 + 3 + 2*c + (5*c - c - 3*c)*(-2 + 4 - 1) + 3*c - 2*c + c - 2*c + 1 - 1.\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Divide 10000016 by -6812.\nAnswer: -1468","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*(3*(-2 + sqrt(5)) - (sqrt(405) + 1 - sqrt(405))) - (sqrt(600)\/(sqrt(10)*-1))\/(sqrt(432) - (sqrt(432) - sqrt(432)*1))*5)**2.\nAnswer: -91*sqrt(5)\/3 + 2609\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 14 minutes before 3:40 PM?\nAnswer: 3:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 50 + -14. Is 12 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 198700384.\nAnswer: 2, 1493, 4159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify a**(3\/4)\/a*a**(-17) assuming a is positive.\nAnswer: a**(-69\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-8 - 299\/(-39) - -2)*2\/(-10). Suppose -5*w = 500 + 25. Let m be (-65)\/w - (-4)\/(-14). Put m, 0, r, -5 in ascending order.\nAnswer: -5, r, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10 = 12*l - 7*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 67 is divided by 55.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 136 minutes after 3:57 PM?\nAnswer: 6:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Do 20.7 and -239.88 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -17 + 27. Let m = r + -6. Solve -5*o + 25 = -2*t - 3*t, -o = m*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 268 and 30.\nAnswer: 4020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express -10 + l**3 + 7 - 7*l**2 + 4 + 2 as a*l**2 + u + d*l**3 + y*l and give a.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -5257 - -5256.9. What is the smallest value in m, -1, 4, -0.079?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -547 - 8?\nAnswer: -54f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = 2*c**2 + 89*c + 47. Give y(-44).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round -10871610 to the nearest one hundred thousand.\nAnswer: -10900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express (-200 - 200 + 2*x + 22)*(6*x**3 - 5*x**3 - 3*x**3) as k*x**2 + t*x**4 + i*x + j*x**3 + p and give t.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7*a**2 - 18073 + 8849 + 9224.\nAnswer: -7*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 219 and 2151?\nAnswer: 157023","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -24, -80, -170, -288, -428, -584?\n\"Answer: k**3 - 23*k**2 + 6*k - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 10 + -15*(2 + 1)\/9. Suppose 0 = -5*a - 28*g + 29*g + 368, x*a = -5*g + 380. 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: Let k = 2035221 - -612331. Let s(q) = 554078*q**2 - 706526*q**2 - k*q**2. Let a be s(-1). What is a rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -21207, -18659, -16111, -13563, -11015, -8467?\n\"Answer: 2548*u - 23755","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 0.1, 0.5, 0.04, -1378, 2, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (348\/11)\/3 + -10. Solve 6\/11*d**2 - 2*d**3 + 16\/11*d - 8\/11 + b*d**5 + 2\/11*d**4 = 0.\nAnswer: -2, -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -52400, -104781, -157160, -209537, -261912?\n\"Answer: n**2 - 52384*n - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -1, 3, 0, 372 in increasing order.\nAnswer: -1, 0, 3, 4, 372","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Divide -8162 by -2.\nAnswer: 4081","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*f**2 - 2*f**3 + 0*f**2 + (0*f**3 - 2*f**3 + f**3)*(1 + 0 + 5).\nAnswer: -8*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (3\/1)\/(-1) - (0 + 38). Let a be 5*(105\/175 - (f + 0)). Calculate the highest common factor of a and 52.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = n**2 + n - 7. Let u(i) = i - 8. Suppose -6*b = -2*b + 20. Let l(m) = b*u(m) + 6*j(m). Is 20 a factor of l(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -2*c*i**3*u - 14313*c - 186*i**3*u + 58*i**3 wrt c?\nAnswer: -2*i**3*u - 14313","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in -0.1, 6\/7, -102, -4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -41\/14880 and -131\/22080.\nAnswer: 684480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -139\/483342 and -52\/241671.\nAnswer: 483342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 52*w - 525 = 50*w - 197*w + 6042 for w.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -32 = -5*w + 28. Let i = -7 + w. Let u = i + -1. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 6416*y**2 - 228*y?\nAnswer: 12832","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 33  (b) -0.2  (c) -71  (d) -0.5  (e) 1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c - 18 = -2*c - 3*r, -c - 3*r = -4. Let f(x) = -5 - 3 - 3*x - 1 + c*x. Let m be f(7). Calculate the greatest common divisor of m and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.107 rounded to 1 decimal place?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*g - 190 + 70 = 0. Solve -22*u + g*u = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 181*q + 101*q - 3459 + 13329 = 0 for q.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 3\/5  (b) -2\/47  (c) 11  (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(-1 + (4 + 1*sqrt(45)*-2)*-3)*1.\nAnswer: -18*sqrt(5) + 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d = -0*d - 4*p - 4, 27 = -3*d - 3*p. Is 22 a factor of (96 + 3)*d\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 125, 96, 67, 38?\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 490, 40, -1, -4 in descending order.\nAnswer: 490, 40, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 162325 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 6739 + -2761. List the prime factors of m.\nAnswer: 2, 3, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 42405 is divided by 36?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) be the third derivative of -w**5\/60 - 7*w**4\/12 - 25*w**3\/6 - 1973*w**2. Give p(-9).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of 153004430?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 28084 and 22?\nAnswer: 308924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1 - 0. Let o = 0.3 - -0.3. Let q = o - 0.6. What is the nearest to v in q, -3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -4 + 4. Let u = 0.5 + x. Let s = 217\/1035 + -2\/207. Sort s, 5, u.\nAnswer: s, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 9316, 74199, 250274, 593137, 1158384, 2001611, 3178414, 4744389?\nAnswer: 6755132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(8) + sqrt(8)*-1*-5 + sqrt(8) + -5.\nAnswer: -5 + 14*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 18988111 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 10 (base 4) to base 14\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (1 + -1)\/(2*-1). Let n(o) = 1 + 4*o**2 + i*o**3 + o + 0 + o**3. Calculate the least common multiple of n(-3) and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-2 + -3)*2\/5. Let a(l) be the second derivative of -l**3 - 5*l**2\/2 - 15308*l. What is a(z)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find m such that m**4 + 92*m**3 + 2688*m**2 + 25232*m + 40432 = 0.\nAnswer: -38, -14, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -7\/491855656858 - -757541572952756859\/136494863334663580. Let q = t + 1\/27751. Let g = -15673 + 250849\/16. Calculate the common denominator of q and g.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -43\/12800 and -29\/185400.\nAnswer: 11865600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = 4895*o - 39189. Determine u(8).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = -j**3 + 12*j**2 + 14*j + 16. Let d(y) = y - 1. Let v(m) = 8*m + 1. Let x(o) = -6*d(o) + v(o). Let p be x(3). List the prime factors of z(p).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = l**3 - l**2 + l + 17. Determine o(0).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 4022 a factor of 117703830?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = 38*a**2 - 2*a. Is 6 a factor of y(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -487\/25, 2\/5, 10 in ascending order.\nAnswer: -487\/25, 2\/5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g - 5 = -4*o, 5*o + 3 = 7*o - g. Solve 16 = 4*y, -4 = -o*a - y - 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -231 or -226?\nAnswer: -231","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from bibbiih. What is prob of sequence ibbb?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {x: 1, d: 2, z: 1, o: 1}. Give prob of picking 3 o.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = -7*o**2 - 4*o. Let l(v) = v**2 + v. Suppose -95 = -76*w + 1 - 20. What is w*y(j) + 3*l(j)?\nAnswer: -4*j**2 - j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6*p + 2*p + 3*p - p + 4*p - p - 3*p + 4*p - 3*p + (-2 + 7 - 3)*(5*p - 2*p - p))*(0 + 4 + p - 6)*(-p**2 - 3 - 3*p**3 + 3).\nAnswer: -9*p**5 + 15*p**4 + 6*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5 + 0 - 3)*(20*u**3 - 32*u**3 + 18*u**3).\nAnswer: 12*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -51\/514 and (138\/(-192))\/(364\/560 - (-4)\/(-10))?\nAnswer: 2056","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3*(-20)\/144*(-6)\/45*3\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -31\/77 and 87\/110?\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 - 6 - (1 - 5).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = -2*t - 0. Let k(h) = t*h - 1 + 0 + 0*h. Let d(c) = -13*c + 3. Suppose 0 = -o + 2*o + q + 1, 0 = 3*o - 5*q + 11. What is o*d(a) - 7*k(a)?\nAnswer: -2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 4 times -0.16077645\nAnswer: -0.6431058","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 17974483 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = 2*u**2 + 6*u + 6. Let i be 7*6\/21 - 4*1. Let q be l(i). Let w be (-1)\/(q\/(-1 + -1)). What is the highest common divisor of w and 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 51 = -34*c + 153 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 9.6 times 1.231?\nAnswer: 11.8176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Work out 5 * -1242.\nAnswer: -6210","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 12 - 3?\nAnswer: b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = -7*g + 7. Let z(o) = -15*o + 15. Let u(i) = -13*h(i) + 6*z(i). Let n = 0 + 7. Let a(f) = f - n + f + 4*f + 0*f. What is a(y) - 5*u(y)?\nAnswer: y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -2\/23, 0.33, -2?\nAnswer: 0.33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = -12*w**2. Let x(o) = -21*o**2. Calculate x(k(u)).\nAnswer: -3024*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = 2*i + 6. Let w be c(-5). Let p = w - -6. Let a = -1759 + 1760. Put 4, p, a, -2 in descending order.\nAnswer: 4, p, a, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in 0.1, 8732, 2, -2, 63?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 1 + -85bb26?\nAnswer: -85bb25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 0.06 + -0.04. Let c = a + -0.01999952. Round c to 7 decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -14, -113, -368, -857, -1658, -2849, -4508, -6713?\nAnswer: -9542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = 4*r - 3. What is the remainder when p(7) is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x = -a, a + 4 = -2*x - 0*x. Let v be 1*2\/6*15. Solve a + v = -3*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 49\/6 of a millennium?\nAnswer: 98000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 495511 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6 = 3*o - 3*b, -4*o + 2*b = -3*o + 4 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*p**2\/6 + 38635*p\/2 + 405790\/3.\nAnswer: -5*(p - 23188)*(p + 7)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: (4\/(-5))\/(((-6864)\/(-160))\/39*-4)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = 46*z**2 - 69*z + 69. Suppose -17 = -3*a + 7. Let m = a + -7. What is the smallest common multiple of q(1) and m?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-two ninths of a hour in seconds?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -1293.0304 to one dp.\nAnswer: -1293","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2406540837?\nAnswer: 3, 101, 7942379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = -2*v**2 + 28*v. Let z(t) = 2*t**2 + 5*t. Let f(h) = -6*h**2 - 16*h. Let l(m) = -5*f(m) - 16*z(m). What is l(u(i))?\nAnswer: -8*i**4 + 224*i**3 - 1568*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*u + 8874 = 12*u. What is the common denominator of (-621)\/u - 8\/68 and 7 + (86\/(-20) - 11)?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) be the first derivative of 3 + q - q - 4*q - 3*q**2 + 2*q. Calculate the remainder when j(-5) is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -416*y**3 + 136*y**3 + y + 0 - y**2 + 2 + 141*y**3 + 144*y**3 to the form t*y**3 + v*y + z + p*y**2 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:42 PM and 1:26 AM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -4 + 12. Solve 5*s = -3*g - l, 2*g - s = g + 8 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, 7, -2, 33, 3 in decreasing order.\nAnswer: 33, 7, 3, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p = -2*p - 18. Suppose p*j - 4*j - 86 = 0. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(4500)*1 - sqrt(45))*4)\/(sqrt(1296)*-1*-3 - sqrt(1296)).\nAnswer: 3*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**(-11)\/f**(-28))\/(f**1\/f**(2\/7)) assuming f is positive.\nAnswer: f**(114\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -320520399.00000253 - -320520401. Let k = -2 + j. Round k to 6 dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -24700, -2, -2\/15, 1\/6.\nAnswer: -24700, -2, -2\/15, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j = -40 + 10. Let u be 84\/15 + -5 - 644\/j. Calculate the greatest common divisor of 13 and u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.2 and -48.015?\nAnswer: 9.603","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -86.3 + 101.3. Which is smaller: -13 or w?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = 1018*a**3 - 8*a**2 + 40*a + 13891. Let b(q) = -679*q**3 + 5*q**2 - 25*q - 9261. Let y(z) = 8*b(z) + 5*w(z). Find the first derivative of y(l) wrt l.\nAnswer: -1026*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 178 divide 18420?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -11  (b) 0.14  (c) 1  (d) -1  (e) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 4  (b) 9\/119  (c) -0.5  (d) 16\/7  (e) 56  (f) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Factor g**3\/3 - 499*g**2\/3 - 3310*g\/3 + 141400\/3.\nAnswer: (g - 505)*(g - 14)*(g + 20)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*c + 3*t + 51 = -c, 4*c = -3*t + 57. Suppose 2*s = -2*s + c. Let i = 7 - s. Solve y + 10 = -i*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -39 = -5*n + 6. Let v be 2\/(1*(-4)\/(-10)). Let k(w) = -w**3 + 4*w**2 + 6*w. Calculate the remainder when n is divided by k(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = -c - 6. Let m be j(-5). Let z be ((-3 - -1)*4)\/m. Suppose 3*i - z*i = 4*d - 7219, 4*i = 2*d - 3590. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -1, -0.3, -52, -15, -85?\nAnswer: -85","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 7 + ((-21)\/20)\/(558\/5208)\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in 0, 1.2, -12\/2471?\nAnswer: -12\/2471","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 n and 1 o when two letters picked without replacement from njnnjnnjjjjjjjojjj.\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -329 - -325. Let b = -3 - -3. Put 0.4, b, v in descending order.\nAnswer: 0.4, b, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 32112132131 (base 4) to base 13\nAnswer: a194a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in nine tenths of a meter?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(-1 + (-4 + (sqrt(432) - (-1 + sqrt(432))*6) + -2*sqrt(432) + 0 + -2)**2).\nAnswer: -84668","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -3b603 (base 16) in base 12?\nAnswer: -b88ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = -i**2 - 29*i - 101. Let j be s(-23). Suppose 9954 = j*h - 16*h. What is the hundreds digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -198*r**3 + 3 - 3.\nAnswer: -198*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Put 1417, -5, -1, 502 in decreasing order.\nAnswer: 1417, 502, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Divide 2898 by 966.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 7488 - -6 - (-10)\/(-5). Let q(i) = m*i - 7487*i + 4*i**2 - 5*i**2. Determine q(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = 10*l. Let x(j) = -2*j**2 + 4*j - 4*j. What is x(o(p))?\nAnswer: -200*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13 = -i + 159*m - 160*m, 3*i + 33*m = -309 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 72*f - 2429 = 33355. Suppose -4*y = 5*g + y - 2445, g = -3*y + f. Calculate the remainder when g is divided by 81.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = -114*t - 58. Let n(p) = -55*p - 26. Let g(o) = 10*c(o) - 22*n(o). Let w(h) = 47*h - 5. Give -5*g(v) + 8*w(v).\nAnswer: 26*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -160, -1147, -2792, -5095?\nAnswer: -8056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 7.388953 minutes to seconds.\nAnswer: 443.33718","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -5247825*w**4 - 3352655*w - 3 wrt w?\nAnswer: -62973900*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 1 + 58. Is a a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (36\/16)\/((-3)\/8).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = 1386*h - 26. Let t be p(-9). Round t to the nearest one thousand.\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = 2*m, -5*l - 4*m - 8 = -8*l. Solve o - 3*o = l for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = -2*r**2 + 202*r + 633. Calculate the smallest common multiple of 30 and d(-3).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -36.66 + 0.66. Let d = -87 - s. Which is smaller: d or -0.1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be -1 + -7*(-24)\/28. Suppose -5*q + i*u = -45, 8*q = 3*q - 5*u + 5. Solve -q*r = -4*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-1)\/(1\/((-2)\/1)). Solve g + 5*d + 0*d + 7 = 0, -2*d = 2*g - f for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -2123 + 723 - 697 + 1043*a**3 + 344*a**3 + 2*a**2 wrt a.\nAnswer: 4161*a**2 + 4*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 3453 + -3298. Calculate the remainder when v is divided by 50.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 6*i**2 - 1244*i - 13387 with respect to i.\nAnswer: 12*i - 1244","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 - (1 + -2 + 0).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 10*(-9)\/(-2) - 0. Let g = k + -314\/7. Calculate the common denominator of (-194)\/(-12) + 7 + -8 and g.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 25 in 4, -0.1, 246?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 388991.\nAnswer: 388991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 + -4 + 9 + 53 + -98?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = -21*b - 10834. Let x(z) = -5*z. Determine f(x(c)).\nAnswer: 105*c - 10834","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -54467*t**2 + 6812*t - 2.\nAnswer: -108934","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1\/109 + -101\/872. Which is bigger: 1 or i?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.04974432 - 388449?\nAnswer: -388448.95025568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.6 + -1405.\nAnswer: -1404.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -8 (base 12) to base 4\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express -170 - 183 - 120*b**2 + 355 as a*b + w + x*b**2 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Work out 763.3 + 0.19323.\nAnswer: 763.49323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -541*d**2 + 2438*d + 133*d**2 + 241*d**2 - 2438*d.\nAnswer: -167*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find f, given that -40*f**5\/13 - 928*f**4\/13 - 1830*f**3\/13 + 460*f**2\/13 + 1750*f\/13 + 588\/13 = 0.\nAnswer: -21, -2, -7\/10, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d\/(d\/(d**(-5)*d)))**(3\/19)\/(d*d*d**(1\/23)*d*d*d\/((d*d**11)\/d)))**(-17) assuming d is positive.\nAnswer: d**(-39559\/437)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 12901 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-13)\/(78\/12))\/(-1). Suppose -t*b + 2*m + 1328 = 0, 5*b - 14*m = -10*m + 3318. List the prime factors of b.\nAnswer: 2, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 846340547?\nAnswer: 13, 65103119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -16254 + 16107.2. Round y to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -45*x + 52*x - 102*x + 61560 = 0. What is the greatest common factor of 2880 and x?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 464542694 and 46970.\nAnswer: 9394","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 150*m**3*q**3 - m**3*q*z + m**3*q - 2*m**2*q**2*z - 3*m**2*z + q**3 + 2*q wrt q.\nAnswer: 900*m**3*q - 4*m**2*z + 6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -23\/105 - 4\/35. Let y = 264275152\/357 - 740266. Let p = -2\/51 - y. What is the second smallest value in d, p, -4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00123008 rounded to 3 dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*(sqrt(26) + sqrt(26)*1 - sqrt(26)) + sqrt(26))\/sqrt(2).\nAnswer: -4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -0.12416 or -2594?\nAnswer: -2594","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 22?  (a) -3\/2  (b) -1  (c) 2\/5  (d) -0.006  (e) -212\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 5.2323 + -1226.018?\nAnswer: -1220.7857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((4\/54)\/((-7)\/(-63)))\/((-4)\/(-6))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 36\/29 - 1346\/1131. Let z = 2 - -1. Let w = 3 - z. Which is greater: w or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = -2*x - 4. Let c be o(-4). Let f(r) = -2*r + 10 + 3*r - 2*r. Let v be f(7). Solve v*b = b - c for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 42 and 107448.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -6 - -5. Let w(b) = 31*b**2 + 1. Let l be w(f). Suppose l = -c + 3*c. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 3\/4, -1\/8, -2\/7, -166?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = 12341*k - 1417. Is r(6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = -n**3 - 6*n**2 + 15*n + 4. Let f be i(-8). Calculate the greatest common factor of 12 and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -11*u - 2 + 2 + 4 + u + 3*u.\nAnswer: -7*u + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = 9*s**2 - 25*s + 116. What is the lowest common multiple of g(9) and 16?\nAnswer: 2480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 12364029.\nAnswer: 3, 61, 7507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = 3*n**2 - 5*n. What is o(3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*u + i - 35, 2*u - 44*i + 49*i = 45. Calculate the remainder when 62 is divided by u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 36 = -1083*c + 1086*c - 3*h, 0 = c - 4*h - 9. Let p(a) = 2*a**2 - 24*a + 8. Give p(c).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many weeks are there in 155.7617796 microseconds?\nAnswer: 0.000000000257542625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -6143, -24583, -55317, -98345, -153667?\n\"Answer: -6147*b**2 + b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 11916?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 429000 and 5400?\nAnswer: 3861000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 27037.00024169 + -27037. What is o rounded to 6 decimal places?\nAnswer: 0.000242","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -8\/3 + 13\/6. Let m be ((-5)\/6)\/((-6)\/9). Which is the second biggest value?  (a) m  (b) 5  (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -5*y - 2*y + 3*y to the form s*y + o and give s.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 9543194 a multiple of 347?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 221727821?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.4053389 hours in milliseconds?\nAnswer: 1459220.04","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 51 and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = n - 1. Let s be d(-4). Let t = -397 - -2377\/6. Which is the second smallest value?  (a) 0  (b) s  (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -562 in 300, -7, -0.37?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = -2*x, 4*u - 404 = -0*u - x. Is u a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 718 to the power of 1\/2, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -908, -1026, -1144, -1262, -1380?\n\"Answer: -118*l - 790","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put -27, 2, 1, -10, 14, 3, 0 in descending order.\nAnswer: 14, 3, 2, 1, 0, -10, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 2\/37 + -376\/111. Is -0.3 greater than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-1)\/(-14))\/((-87)\/(-609))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-9)\/(-132)*-20*-33. Let x be (23\/5 + -1)*5. What is the highest common divisor of x and u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 274303 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16*p = -1099 + 971 for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -5, -62, -478442, 3 in increasing order.\nAnswer: -478442, -62, -5, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 113\/4190 and -107\/22?\nAnswer: 46090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Determine y so that 2*y**2\/5 - 22*y\/5 + 36\/5 = 0.\nAnswer: 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = -b**3 + 7*b. Let m be 2 + 36\/(-14) - (-936)\/(-273). Let o(d) = -3*d. Determine m*i(h) - 10*o(h).\nAnswer: 4*h**3 + 2*h","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 30*x - 21944 = 22*x. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = -2*f**2 - 3*f + 4. Determine q(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence uhd when three letters picked without replacement from {u: 1, c: 2, d: 1, h: 1, w: 2, n: 2}.\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -31\/4034250 and 71\/17115.\nAnswer: 28239750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -46.984 + -0.016. Let g = -5 - z. Let w = -43.5 + g. What is w rounded to zero decimal places?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 122122 + 3200?\nAnswer: 131322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -b8771 - -4?\nAnswer: -b8769","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = -12*p**3 + p**2 + 9*p + 12. Let a be g(-6). Suppose -5*r + 4309 = b - 1, -4*b = 3*r - a. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((c*c*c**(1\/3)*c*c*c*c)\/(c\/(c\/(c*c**(-1)*c*c))))\/(c**(-2\/5))**26)**(-1\/25) assuming c is positive.\nAnswer: c**(-221\/375)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 190*443 - ((-2)\/(-54) + 4624\/(-918))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((((r\/r**(-2))\/r)\/r)\/r)**29\/((r*r**(-3\/2))\/r**(3\/2)))\/(r*r\/r**(-2\/3)*(r**6\/r)\/r*r**(-2)\/(r**(1\/6)\/r)) assuming r is positive.\nAnswer: r**(-7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/177, 4, 0, 5, 2\/17 in ascending order.\nAnswer: -2\/177, 0, 2\/17, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*((sqrt(162)\/sqrt(6))\/sqrt(9) - (2*sqrt(3) + 4)**2).\nAnswer: -112 - 60*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m - 3*m + 19 = 0. Let v = m + 107. Suppose 3*s = -3*d + 18, -d + 4*s = -s - 36. Calculate the greatest common factor of v and d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 3305544 to the nearest integer?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -0.1643, -2\/7, 0.3, 61?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.069 - 1033116.4?\nAnswer: -1033116.469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 229 and 1499263.\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -46, -34, 2, 74, 194, 374, 626?\nAnswer: 962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*z + 5508 = 25*z. Is 36 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 5 times -1012\nAnswer: -5060","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 64 - -2?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2*h - h**3 + 186*h**5 - 5 - 10*h + 6*h + 12*h wrt h?\nAnswer: 3720*h**3 - 6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*z**3 - 4*z**3 + 12*z**3.\nAnswer: 3*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = -7*u - 2 + 3 + 0. Let i(a) = -8*a + 1. What is -6*i(o) + 7*n(o)?\nAnswer: -o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is (-4)\/((8*25)\/(-4))*(-120)\/24?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = h**3 + 10*h**2 - 24*h + 8. Give p(-12).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = -631*t - 77. Let o be r(-15). Suppose 0 = -8*g + o + 10284. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from kecevemezemcmmecvc. Give prob of picking 2 v.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2213 is divided by 242.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 834 - 678. What is the smallest common multiple of 6 and o?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:34 PM and 9:28 PM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Add -35.2 and 84.\nAnswer: 48.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify b**7*b\/(b\/(b*b\/(b\/((b*b**(-4\/5)*b)\/b))))*b**(-1\/3)*b**(-12) assuming b is positive.\nAnswer: b**(-62\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -9235 divided by -1847\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (2 + -2)*(-5)\/30. Let f(h) be the second derivative of -1\/14*h**2 + 2*h + i + 1\/42*h**3 + 1\/84*h**4 - 1\/140*h**5. Suppose f(w) = 0. Calculate w.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 66\/16 + 16\/(-128). Suppose -n*d + 29 + 51 = 0. Suppose 9*g = 4*g + d. Solve -g*i + 4 = 3*p, p + 4 = 2*p for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = 35*a**3 - a**2 - 3*a - 6. Let f be t(-7). Let x = -168619\/14 - f. Calculate the common denominator of 61\/18 and x.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 2574844 and 628.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -1 - (14\/35)\/((-2)\/20). Let h be 11\/(55\/(-30)) + r. List the prime factors of 44 - (2 + 6\/h).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*u**4 + 28*u**3 - 66*u**2 - 224*u - 128.\nAnswer: -2*(u - 8)**2*(u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d = -5*z + 30, 3*d - d = z + 3. Let w = z - 1. Calculate the remainder when (1\/(-3))\/(1\/(-6)) is divided by w.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 42.585 rounded to one decimal place?\nAnswer: 42.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -123435, -123440, -123445, -123450, -123455, -123460?\n\"Answer: -5*m - 123430","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 133 divide 5308?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 8*i - 11*i + 204. Suppose -i = -g - 3*g. Suppose -g*j - 78 = -20*j. Calculate the highest common factor of j and 286.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t\/(t**(2\/51)\/t))\/(t**(3\/5)*t))\/(((t\/t**3*t)\/t)\/t**(1\/11)) assuming t is positive.\nAnswer: t**(6877\/2805)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, -0.5, 10955, 0.05, 5\/4 in ascending order.\nAnswer: -0.5, 0.05, 5\/4, 4, 10955","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + (sqrt(243) - 1*sqrt(243)*1)**2 + -6*1*sqrt(243).\nAnswer: -54*sqrt(3) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15 = 5*n - 5*k, -17 = -8*n + 12*n + k for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 4 + -2. Let f be 2*(-3)\/(n + -5). Suppose 5*j + 420015 = f*s, -3*s + 4*j - 119611 + 749623 = 0. What is s rounded to the nearest one hundred thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 2 and 209697?\nAnswer: 419394","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*w - 4*b + 898, -553 = -3*w + b - 4. What is the highest common factor of 14 and w?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {j: 5, a: 1, q: 3, d: 10, i: 1}. Give prob of sequence da.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p + 0*p = -10. Let y be 3\/p*(-8)\/42. Solve -2\/7*i**3 + 0 - y*i**2 + 2\/7*i**4 + 2\/7*i = 0 for i.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-45)\/(-4))\/(((-51)\/(-136)*1)\/(-1))?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -2169314*w + 3932919.\nAnswer: -2169314","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c = 3*c - 5. Solve -3*d + 2*n + 6 = 4*n, -2*d + c*n = -23 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 s, 1 c, and 1 k when three letters picked without replacement from cjvvkqkcvkjqjvs.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = -t**3 - t**2 + 2*t + 0*t - 2*t + 62. What is the remainder when o(0) is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -8 (base 14) to base 11\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Add together -57487.9 and -216990.\nAnswer: -274477.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*r + 8*c - 52 = -42 - 24, 0 = 5*r + 4*c + 3 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = -22*k. Let d(g) = -13511 + 27022 - 13511 - 1475*g. What is 3*d(r) - 200*u(r)?\nAnswer: -25*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from iiniiiiinniiiiii. Give prob of picking 3 n.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 = t + 5*k, 2*t + k + 3 = -0*t. Let l be t\/(-4 - (-6 + 3)). Let f be 1*(2 - -1)\/l. Which is greater: 0.5 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3100*m + 5766 + 3104*m - 5766.\nAnswer: 4*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 5 - -2 - (-1 + 0). Let t(c) = -4 - z*c - 5*c**2 - c + 4*c**2. Calculate the remainder when t(-6) is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) be the first derivative of 29*o**6\/6 - o**5\/5 + o**3 + 3*o + 65. What is the third derivative of z(d) wrt d?\nAnswer: 1740*d**2 - 24*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 427 and 19523.\nAnswer: 1190903","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (24\/6)\/(771\/255 + -3). What is the greatest common divisor of 34 and y?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 449701 and 153.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 264 minutes before 6:22 PM?\nAnswer: 1:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -2 - (-1 - (11 - 4))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 = -4*d + d. Let t(s) = 5*s**2 + s - 9. Is t(d) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -3\/2 in 3\/5, 4, -5, 30.8?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = j**3 + 22*j**2 - 82*j - 171. Let w be y(-25). Sort 91, 5, w in increasing order.\nAnswer: w, 5, 91","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-16)\/200*-5)\/(-9*(-92)\/(-89010))?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 16591 in -1, 0.6, -1\/2, -4?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2320070*i**5 - 331024*i wrt i.\nAnswer: -46401400*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 2*1836\nAnswer: 3672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 39 - 40. Let g(o) = -6*o. What is g(h)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -7 - -2. Let s(w) = w**3 + 5*w**2 - 4*w - 4. What are the prime factors of s(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 207 = -2*m + 235. Suppose d - 6*d + 3*i = -42, -3*d = i - m. Solve -2*n - n + d = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = 8*x**3 + 2*x**2 - x + 3. What is the remainder when r(3) is divided by ((-6)\/(30\/295))\/(2 + -3)?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 99006 is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 97597.\nAnswer: 17, 5741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -1867 divided by -12530?\nAnswer: 1867\/12530","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of a**5 - 4509569*a**3 + 34400344*a**2?\nAnswer: 60*a**2 - 27057414","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = -207*q**2 - 12*q + 12. Let y be v(1). Let u = -179 - y. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:06 AM and 10:30 AM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 + -2 + -1 + 14 + (86 - 21) + 12.\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand -9*g - 5*g + 19*g + (g - 2*g - g)*(5 - 4 - 3) - 2*g + 4*g - g + (3*g + 6 - 6)*(6 - 3 - 2).\nAnswer: 13*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = 3*l - 1. Suppose -3*d + 3 = 4*r, 5*d + 5*r = 2*d + 6. Let m(i) = -i. Calculate d*u(j) - 7*m(j).\nAnswer: -2*j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -878435 + 878527.0093. Let m = 0.67 - 92.67. Let z = c + m. Round z to 3 dps.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = 16*g - 58. Solve -j = -3*j - g*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = 6*u + 4. Let b(c) = -4 + 3 - 5*c - 2 + 6 - 6. Determine -7*b(t) - 6*o(t).\nAnswer: -t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-2)\/(-3)*(-12 - -26 - 11). Let d be y\/(-4 + 6)*9\/3. Solve -d*b + 2*f = 6, 4*f + 18 = -b + 2 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -14 - -18. Let o be 1 + g*(-6)\/(-8). Solve -x - 6 = o*u + 5, -4*x - 2*u = 16 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t - 63 = -5*v, -2*v - 4*t + 8*t = -18. Suppose -230 = -5*x + 4*a + 225, -4*a = 0. What is the highest common divisor of x and v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -36459700.3 to the nearest one hundred thousand.\nAnswer: -36500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t + 35 = 10*t. Let w = -11 - -16. Suppose 8*r = 2*b + 3*r - 51, -5*r + 40 = w*b. What is the remainder when b is divided by t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -45 - -21. Let n = m + 24.4. Which is the nearest to -2\/5?  (a) 0.3  (b) -0.4  (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = 3*h**2 - 1. Let z(p) = 9*p**2 - 4*p. Let i(t) = -2*t**2 - 2*t. Let s(q) = -2*i(q) + z(q). Give s(u(l)).\nAnswer: 117*l**4 - 78*l**2 + 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (250\/(-6) - 3) + (78 - 80). Suppose 0 = 3*o + 139 + 2. Which is smaller: z or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in -115, -3, 0.3895, 5?\nAnswer: 0.3895","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-2)\/(-6) + (-1)\/(-3). Suppose 0 = -4*j - 66 - 270. Let w be (-26)\/j + (2\/12)\/(-1). Sort u, 2, w in ascending order.\nAnswer: w, u, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*k - 170*p - 11 = -167*p, -2*k = -5*p + 23 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 52\/441 and -113\/42.\nAnswer: 882","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 f and 1 c when two letters picked without replacement from {c: 10, a: 2, y: 1, f: 1}.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -801*g + 10739 - 3479 + 43203 = 0 for g.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: (89\/4)\/((-10)\/(-4)*(27313\/(-1910))\/143)\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 8\/3 of a week?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 26 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -2 and 1795369.401609?\nAnswer: 1795371.401609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-2360)\/(-25) + (-2)\/5. Suppose m = 4*y - 5*b, -3*y + 3*b = b - 67. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 17064 divided by -7569?\nAnswer: -1896\/841","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-2)\/45)\/((-5)\/(-15) - 0).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = -q**3 - 37*q**2 - 37*q - 33. Let u be c(-36). Suppose 3*p - 3*w - u = 2*p, 0 = 4*p - 2*w - 42. Solve -p = 16*a - 19*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 18 + -21. Let l = -1 - i. Is l less than or equal to -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 0\/((-4)\/(-40)*70). Solve w = -4*g + a + 2*a + 22, 2*a = -g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 3 - (3 - (-12)\/(-3)). Suppose -5*o + 20 = 4*u, 5*o - 5*u - 33 = k*o. Is o bigger than 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -21 + 18. What is the fourth biggest value in i, 5, 1\/3, 0.2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from yyryywwhyrwyywhwhyw. Give prob of sequence www.\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 6777 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(891) + -2 + -2 - 5*(-2*sqrt(891))**2 - (sqrt(121)\/sqrt(44)*1 - (1 + sqrt(11) + 1 + -4))) + 4.\nAnswer: -17822 + 19*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*t**4 - 30322*t**3 - 153227172*t**2 - 258034537432*t + 258187794928.\nAnswer: -2*(t - 1)*(t + 5054)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -1387, -1393, -1403, -1417, -1435?\n\"Answer: -2*b**2 - 1385","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = 5*k**2 + 6*k. Let s(r) = -r**2 - r. Let j(z) = -o(z) - 6*s(z). Let p(b) = 3*b**2. Determine j(p(q)).\nAnswer: 9*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 764259050.\nAnswer: 2, 5, 37, 413113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Does 32 divide 384?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is -7427 equal to -21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = -4*l**3 + 5*l**2 - 2*l - 1. Let s(c) = -3*c**3 + 30*c - 11*c**2 + 12*c**3 - 10*c - 15*c + 3. Determine -5*q(w) - 2*s(w).\nAnswer: 2*w**3 - 3*w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify z\/(z*z\/z**(2\/9))*z**(5\/11)\/z assuming z is positive.\nAnswer: z**(-131\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (-19 + 3)\/(4\/(-10))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 126, 127, 130, 135, 142?\nAnswer: 151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -4 - -13. Suppose 6*b + 72 = v*b. What is the third derivative of -27*g**2 + b*g**3 + 193 - 193 wrt g?\nAnswer: 144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -50827 to the nearest one thousand.\nAnswer: -51000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.4015 times 0.2?\nAnswer: 0.0803","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 3716072123 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 m, 1 u, 1 g, and 1 e when four letters picked without replacement from {u: 5, q: 5, m: 2, h: 5, g: 2, e: 1}?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -27 (base 9) to base 2\nAnswer: -11001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 16 and -14466.\nAnswer: -231456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 11 in 0.3, -15, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 2469 + -51872\/21. Calculate the common denominator of o and -46\/15.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 18069 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = 3*m - 3 + 6 - m. Let l be p(-10). Let v = l + 32. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 7765 and -15?\nAnswer: 7780","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*i**2 - 805*i + 805*i - 19.\nAnswer: 2*i**2 - 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 9.4513 + 0.5487. Is -22 smaller than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {n: 3, i: 2}. Give prob of sequence inn.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-1)\/2)\/((-3)\/18). Let j(x) = -2*x + w*x - 6*x. Let m(r) = -8*r**2 - 6. Let c(t) = -7*t**2 - 5. Let u(o) = 6*c(o) - 5*m(o). Give j(u(d)).\nAnswer: 10*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 39364394?\nAnswer: 2, 19682197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Divide -6 by -22941.\nAnswer: 2\/7647","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -2.4 + 1.5. Let w = g - 2.1. Let n = -356 - -357. Which is the nearest to w?  (a) -2\/5  (b) n  (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.75 - 0.55. Let o = -4.08 + 4. Let n = o - -3.08. Which is the closest to 0?  (a) p  (b) -0.3  (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1904\/136)\/((-12)\/27)*2\/(-3).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = -z - 5. Let t be -4*(2 + 0*(-4)\/(-12)). Let h be i(t). Solve -h*l - 2*l - 8 = -3*w, -l - 16 = 3*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the seventh smallest value?  (a) -4  (b) 2  (c) -4\/3  (d) -0.2  (e) -0.9  (f) 4  (g) 480\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 27750?\nAnswer: 2, 3, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -46.5 + 44.5. What is the nearest to 2 in -0.2, -23, x?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = 447*v + 2. Suppose -2 = -5*t + 3. Is n(t) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 b, 1 l, and 2 x when four letters picked without replacement from {b: 3, s: 3, x: 5, l: 3, h: 2}.\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -150692 + 94872. What is s rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(180)\/sqrt(10) - sqrt(2))**2 + (sqrt(8)*2)\/sqrt(4).\nAnswer: 2*sqrt(2) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2*a**3 + 3*a**3 - a**3 - 505*a**2 + 5*a + 494*a**2 - 135*a**6 wrt a.\nAnswer: -16200*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -15241604 (base 7) to base 5.\nAnswer: -333040042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -1100 + -22?\nAnswer: -1122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14*k = -3*l + 55, -22*k + 23*k + 30 = -5*l for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s = 5*k - 187, 14*k - 18*k + 53 = s. Differentiate 58 - 12*y**4 - 17*y**4 - s wrt y.\nAnswer: -116*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -12113101 (base 4) in base 10?\nAnswer: -26065","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 3942 a factor of 257073588?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l = -5*k + 391, 2*k = -3*k + 3*l + 407. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence fpp when three letters picked without replacement from {f: 1, u: 2, x: 2, p: 4}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand -181 + 75 - 258 + j + (-1 + 2 + 0)*(j - 3*j + 0*j).\nAnswer: -j - 364","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d**3 - 34467*d**2 - 859872*d - 825408 = 0. Calculate d.\nAnswer: -11464, -24, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 12060300 and 1050.\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/3 in -0.2, 5, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 0.2  (b) -7\/26  (c) 2\/7  (d) -49\/12  (e) 4\/9  (f) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 254 - -16 - 143 - (3 + -4).\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*w**2 + 0*w**2 + 2*w**4)*(-3 + 5 + 0 + (1 + 1 + 0)*(-4 + 4 - 1) + 1 + 2 - 1).\nAnswer: 4*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = o**2 - 2*o + 20. Let n be c(0). Suppose -h - 3*h = -n. Suppose 2*z - 13 = s - 61, -2*z + 192 = h*s. Is s a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 6 - -747?\nAnswer: 750","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 t, 1 l, and 1 f when three letters picked without replacement from fhhhftlyhffhtllh?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 15\/44?  (a) 2\/3  (b) 1\/2  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 18 in 3\/4, -0.07, -1\/5, -2\/5, 0.4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = -y + 1. Let r(t) = -9*t - 4. What is -2*k(i) + r(i)?\nAnswer: -7*i - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:05 PM and 5:21 PM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 509  (b) 0.2  (c) 4.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p + 8*p - 54 = 0. Let d = -31 + 37. Calculate the least common multiple of p and d.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -20, -30, -38, -38, -24, 10, 70, 162?\n\"Answer: d**3 - 5*d**2 - 2*d - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 18799.924 - 18833. Let u = m - -0.076. Let t = 33.1 + u. Which is the second smallest value?  (a) 2  (b) -0.2  (c) -5  (d) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1071*z**2 - 3958*z**2 + 1507*z**2 - 8240*z**2.\nAnswer: -9620*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-6)\/(-21)*7*-1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*x**3 + 1940*x**2 - 188180*x.\nAnswer: -5*x*(x - 194)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 28600.\nAnswer: 2, 5, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 21\/2 of a meter in centimeters?\nAnswer: 1050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d + o = -145, 2*d + 0*o - 75 = o. Suppose -j + 5*j = -3*w + d, 5 = 5*w. Suppose j = -3*h + 5*h. Solve -h*f - 4 = 0, -5*x + 17 = -0*x - 2*f for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = s**3 - 106*s**2 + 411*s + 2. What is n(4)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t**(-1))**33*t**(-1\/5)*t**(-1))\/((t**2*t**(-2\/5)\/t*t*t)\/((t\/t**(-1\/3)*t*t)\/t)**(-28)) assuming t is positive.\nAnswer: t**(-1532\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1)\/9*-1*-2?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.052 and -0.7.\nAnswer: 0.0364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = 3*f - 2. Solve -3*j = -6 - f for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 145023 - -1?\nAnswer: 145024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 33, 168, 541, 1272, 2481?\n\"Answer: 20*j**3 - j**2 - 2*j + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 4702196 to the nearest integer?\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = 73*g**3 + 16*g**2 - 3*g - 7. Let y(m) = -73*m**3 - 16*m**2 + 4*m + 8. Let s(o) = -4*f(o) - 3*y(o). What is the third derivative of s(h) wrt h?\nAnswer: -438","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*n = -4*m - 10, 0*m + 5*n = -3*m - 10. Suppose 9*t + 5*t - 11494 = m. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 67*k - 64*k = 705. Let s = -186 + k. Let n = -20 - -37. What is the remainder when s is divided by n?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-77 + 77 - 2*t - 4*t)*(107 - 107 - 35*t**2) as a + y*t**2 + s*t + i*t**3 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 189250162 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -11 in 0.4, 146, 3\/5, 1\/3, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = v**2 - 2. Let j be -5 - -2 - (-3 + 7). Let w(q) = -2 + 1 - 2 - q**2 + 2*q**2. Give j*f(n) + 5*w(n).\nAnswer: -2*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -28*x = 2264382 - 2265530 for x.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1668\/6811)\/((-4)\/12*(-90)\/(-21)).\nAnswer: -6\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o + 74 = s, -6*o - 56 = -8*o - 4*s. Solve 16*b = -4*b + o for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -45 divided by 6\nAnswer: -15\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 188823*5.\nAnswer: 944115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = -o. Suppose -4*x = -x - 72. Suppose -3*i + 2*r - 18 = 0, -5*i + i - x = 5*r. Let q(a) = -a**3 + 2*a. What is i*v(w) - 3*q(w)?\nAnswer: 3*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q**(-4)\/q*q)\/q**(-5))**(-3\/23) assuming q is positive.\nAnswer: q**(-3\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {r: 1, q: 4, y: 3}. Give prob of picking 3 q and 1 r.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3*f + f + 4*f)*(-67 - 40 + 14)*(-2 - 1 + 2)*(5 - 18 + 8) as n*f + k and give n.\nAnswer: -930","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 85 greater than or equal to 808?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -198 - 355*r + 198 + r**2.\nAnswer: r**2 - 355*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 33579 is divided by 112?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*r - 1885*t - 9 = -1884*t, 4436 = -4*r - 184*t for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j = 5*t - 8, 0 = -j + 4*t - 7 - 0. Let s be (-4)\/18 + 70\/(-9). Let p be 3 + (2 - (j - s)). Solve p = -c - 3*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -24 + -34 + 53 - -42.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = 2*n + 3. Let u be j(0). Suppose u*f + 14 = -m - 0*f, 2*f + 8 = 0. Which is the third smallest value?  (a) m  (b) -1  (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/10 of a microgram in nanograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put together -10 and 514.\nAnswer: 504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = z + 20. What are the prime factors of j(-8)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 567 and 441.\nAnswer: 3969","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4444 = -13*o + 1064. Find the common denominator of 5 and (-225)\/80*13\/(o\/24).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 511 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-1)\/(1*(-2)\/12). Let d(y) = -y**3 - 3*y**2 + 3*y - 2. Let c = -9 + 5. Let u be d(c). Solve u*k = -0*k - r for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*-2*(-3*sqrt(1008)*-4 - sqrt(1008))**2*-4*4 + 5)*-3.\nAnswer: 46835697","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 67 and 335.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 190111 and 844.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = -54*b**2 - 4*b + 55. Let r(a) = -163*a**2 - 11*a + 163. Let t(i) = 11*g(i) - 4*r(i). Find the first derivative of t(y) wrt y.\nAnswer: 116*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 8\/(-44) - 2139\/(-6138). Which is the closest to 1\/4?  (a) q  (b) -3\/7  (c) -0.3  (d) -0.344\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 798 and 336?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 311*i = -3*k + 316*i + 8, 2*i - 28 = -4*k for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 105 and 184100?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0122938016 rounded to 6 decimal places?\nAnswer: 0.012294","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*t**4 + 5*t**4 + 12*t + 3*t + 22*t**2 + 33*t**3 + 2 + 15*t**2.\nAnswer: (t + 1)*(t + 2)*(3*t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -13902 less than -2126954\/153?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2*18\/(-24)*1?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 275 = 35*u - 34*u + 5*j, 3*u + 4*j - 781 = 0. Solve 6*g - 285 + u = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) be the third derivative of 22*d**7\/105 - 17*d**5\/60 - 4*d**2. Find the third derivative of k(p) wrt p.\nAnswer: 1056*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -1 - 120614477?\nAnswer: -120614500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is six fifths of a millimeter in micrometers?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*k - 5*k = 12 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -87*r + 165*r - 390 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 116 in 3, 1\/5, -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -99 - 47 = -2*s. Let c = s + -24. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 5, 18, 1\/2?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4205*x**2 + 3480*x + 720.\nAnswer: 5*(29*x + 12)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-11)\/(-2) - 5\/(-10). Suppose c + 265 = p*c. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = p**2 + 4*p - 5. Let j be x(1). Solve j*k + 10*k = 10 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = -28*g**3 + 6*g**2 - 5*g - 6. Calculate the lowest common multiple of 441 and a(-1).\nAnswer: 4851","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 74750 is divided by 25?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -26, -16, -6, 4?\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -9 - -13. Suppose 6*j - j + g*a = 11, -j = 3*a. Let p(h) = h**3 - 4*h**2 + 2*h - 4. Calculate p(j).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*f + 2*n - 24, -5*n + 6 = f - 0*n for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 3*c**6*x + 154*c**4*x - 11*c**3*x + c**2*x + 29*c*x - 80*x wrt c?\nAnswer: 360*c**3*x + 3696*c*x - 66*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = 47*d**4 - 64*d**3 + 22*d**2 + 2*d - 3. Let n(b) = b**4 + b**3 + b**2 - 1. Let p(y) = 2*n(y) - v(y). Find o, given that p(o) = 0.\nAnswer: -1\/5, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -109, -172, -335, -646, -1153, -1904, -2947, -4330?\nAnswer: -6101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {g: 1, l: 2, e: 2, j: 2, b: 4, q: 1}. Give prob of picking 1 b, 2 q, and 1 e.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0176574562 to four dps.\nAnswer: 0.0177","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 60 - 38. Let w = -21.9 + m. Let h = 541\/6 - 90. What is the nearest to h in 2\/23, w, 1\/2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is n in -5*n**2 + 1818090*n + 1818095 = 0?\nAnswer: -1, 363619","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = 5*f**2. Let b(r) = -161*r**2 - 156*r**2 + 344*r**2. Calculate b(m(k)).\nAnswer: 675*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 57927, 115889, 173865, 231861, 289883?\n\"Answer: r**3 + r**2 + 57952*r - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1232, 1422, 1610, 1796, 1980?\nAnswer: 2162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.7 - -38602?\nAnswer: 38602.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + ((-1 + sqrt(57)\/sqrt(3) - sqrt(19))*-6)**2.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence umcc when four letters picked without replacement from ccwmmmmmdcwu?\nAnswer: 1\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1834*i**4\/5 + 22413294*i**3\/5 + 68466825146*i**2\/5 - 69236126694*i\/5 + 149377284 = 0. Calculate i.\nAnswer: -6111, 10\/917, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = 2*c**2 - 14*c + 14. Let v be f(6). Let h be 27\/v*28\/21. Let k = h + 1. What is the remainder when 68 is divided by k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 2062.95739 + -0.35739. What is h rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*f + 0*f - f)*(3 - 3 + 2*f**2) + 34*f**3 - 16*f**3 - 13*f**3 + (-17*f + 7*f**3 + 17*f)*(-1 + 2 + 0).\nAnswer: 16*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b - 14 + 85 = 5*u, 0 = -5*b - u + 111. Solve 0 = -b*s + 24*s + 4, 3*h - s = 11 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 10554*(30\/(-18))\/(0 + 10\/(-15))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -67*c**5*k**3 + 2*c**5*k + 2*c*k**3 + 115*k**3 wrt c?\nAnswer: -1340*c**3*k**3 + 40*c**3*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 42 or -2514?\nAnswer: -2514","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 177.91071 seconds in minutes?\nAnswer: 2.9651785","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-5 + 7 - 7) + 6 - (-47 + 23).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2*j*y**4 - 13*j*y + 3*y**4 - 1609*y**3 + 5190 wrt y.\nAnswer: 24*j*y**2 + 36*y**2 - 9654*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 33*o - 4700 = -69*o + 27940. Calculate the smallest common multiple of o and 640.\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 78102?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 1 - (1 - -24 - 29). Solve -2*y = -5*o - 1, o - 43 = q*y - 57 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*x - 2*x - 415 = 0. Suppose 3*w = 52 + x. Is w a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -76 - -105. What is the remainder when r is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3464975455.\nAnswer: 5, 307, 2257313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express v**3 + v**3 + 112 - 110 + 2*v**2 as o*v**2 + i*v**3 + a*v + t and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -14 - -8. List the prime factors of (-1)\/(1\/t) - -2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 47.90997974 - -0.09017526. Let l = g + -48. What is l rounded to five dps?\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z**2\/17 + 145248012*z\/17 - 2637123123744018\/17 = 0. Calculate z.\nAnswer: 36312003","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 18072557 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 201373566?\nAnswer: 2, 3, 61, 73, 7537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -29 = -3*d - 7*r + 56, 4*d + 5*r - 70 = 0. Let q = 3 + -2.5. What is the biggest value in q, 3\/8, d, 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2716*n + 106212*n - 1098 + 1098.\nAnswer: 103496*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 24543 >= 24544?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 3.102267 millilitres?\nAnswer: 0.003102267","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = u**2 - 4*u + 1. Let p(f) = -2*f**2 + 5*f - 2. Let o(k) = 6*a(k) + 4*p(k). Suppose o(r) = 0. What is r?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1750 by -35.\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 r and 1 c when two letters picked without replacement from rtnncnnrmrntcwcmcrtc?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u - 11 = 4*i - 3, 0 = u + i - 1. Suppose -u*p - 48 = -8*p. Is p a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-10)\/(-4)*(-46)\/(-115) - -108. Let i = 385 + -277. Which is bigger: i or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of 3308383.6244 and 1.2.\nAnswer: 3308384.8244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 176 + -123. What are the prime factors of q?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -0.3, -7410, -0.4?\nAnswer: -7410","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 11014340 and 27535850.\nAnswer: 55071700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 2927303218?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 e, 1 b, and 1 m when three letters picked without replacement from {g: 6, u: 2, c: 1, m: 2, b: 2, e: 4}.\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Does 173 divide 13667?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -52 - 3?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6*r**2 + 14*r - 14*r)*(-r + 3 - 3) + (0*r + 4*r - 5*r)*(-4*r**2 - 4*r**2 - 2*r**2).\nAnswer: 4*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2?  (a) -4  (b) 0.3  (c) -0.70183  (d) 3  (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is fourty-eight fifths of a milligram in micrograms?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -6097\/8 - -760. Calculate the common denominator of 11\/34 and c.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) be the second derivative of -t**5\/15 - 4*t**2 + 11*t. Let w(a) be the first derivative of s(a). Let p(c) = -2*c - 8*c + 8*c. Calculate p(w(q)).\nAnswer: 8*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -874239, -874890, -875527, -876144, -876735, -877294?\nAnswer: -877815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000000473776754 rounded to 7 decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -214 - -236. Let r(v) = -v**3 + 24*v**2 - 41*v - 46. Let k be r(f). Calculate the greatest common factor of k and 600.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s - 3*c = 36, 2*s - 3*c - 44 = 2*c. Let p(d) be the first derivative of 1403*d**2\/2 - 36*d + 4966. Let i be p(s). Round i to the nearest 1000.\nAnswer: 17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = w**3 - 3*w - 1. Let g be p(-2). Calculate the common denominator of 3 - ((-9)\/15 - g) and -31\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = 8*c**2. Give h(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*(sqrt(180) + (sqrt(180) + -3)*5 - -2*(sqrt(180) + -3))**2 + 0)*4*1.\nAnswer: -32256*sqrt(5) + 191376","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express d**3 + 96*d - 2*d**2 + d**3 + 0*d**2 - 252*d - 513*d in the form c*d + g + t*d**3 + n*d**2 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 49516?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1 + 1. Let y(d) = -d**h + d**2 + 2*d**2. Let b(o) = -47*o + 25*o - 6*o + 13*o. Calculate y(b(r)).\nAnswer: 450*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {b: 9}. What is prob of sequence bbbb?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*z**3 - 28*z**2 - 4*z + 28.\nAnswer: 4*(z - 7)*(z - 1)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6\/4*1\/(30\/(-80))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 221 + -89. Let p be (h\/(-15))\/((-1)\/865). What is the hundreds digit of p\/60 + 4\/30?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (7\/((-63)\/(-12)))\/6. Which is the closest to 1?  (a) 4  (b) -5.9  (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = -4*c**2 + 7*c. Calculate u(-4).\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -1701, -3416, -5175, -7002, -8921?\n\"Answer: -4*y**3 + 2*y**2 - 1693*y - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: fd5b (base 16) to base 11\nAnswer: 44803","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1290 = -8*h - 2*h. Suppose h = 4*k - 115. List the prime factors of k.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8 is divided by (-4 + 1)*1 + 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 = -5*l + 2*f + 2, 0 = l - 2*f - 5. Find the common denominator of 115\/18 and (-445)\/(-240) - 1\/l.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 225, 3, 11, 5 in ascending order.\nAnswer: 3, 5, 11, 225","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: ((-3)\/(-24)*2)\/((-18)\/(-16))\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) be the third derivative of -p**8\/2688 + p**6\/480 - p**4\/192 - 22*p**2. Factor d(u).\nAnswer: -u*(u - 1)**2*(u + 1)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3\/9*771 + 2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = 9*b**2 - 20*b + 98. Let t = -326 + 332. List the prime factors of z(t).\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 6.3  (b) 2\/5  (c) -0.3  (d) 15  (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -o = 4*w + 26, 114*o = 5*w + 117*o + 29 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*z**4\/19 - 28700*z**3\/19 - 57406*z**2\/19 - 28704*z\/19.\nAnswer: 2*z*(z - 14352)*(z + 1)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 3*2*546\/910*(-60)\/(-36)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence nl when two letters picked without replacement from {y: 1, n: 2, l: 1, t: 4, f: 1}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, 14, -10, 1, 15, -57 in descending order.\nAnswer: 15, 14, 3, 1, -10, -57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 468 and 208?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(209) + sqrt(209) + sqrt(209)*1 + sqrt(209))*-4 + sqrt(209))\/sqrt(11).\nAnswer: -15*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) be the third derivative of j**7\/840 - j**6\/360 + j**5\/60 - j**4\/8 - j**3\/2 + 2*j**2. Let x(d) be the first derivative of y(d). Calculate x(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1881.801 + -2.801. Is x equal to 0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify d*d\/(d**(2\/13)\/d)*(d\/(d*((d\/(d*d*(d**(5\/6)*d)\/d)*d)\/d)\/d))\/d*(d**5\/d)\/d**(-1\/5) assuming d is positive.\nAnswer: d**(3463\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 7686+14\nAnswer: 7700","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 58, 207, 600, 1357, 2598, 4443, 7012?\n\"Answer: 20*v**3 + 2*v**2 + 3*v + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = -h**2 - 26 + h + 7*h**2 + 26. Let d be u(-1). Solve -2*x - d*q + 0*q + 23 = 0, 3*q + 3 = 3*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 287554082 a multiple of 493?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 8260 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 2412941 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is -222\/20099 >= -3\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 31*w = 11*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -108 divided by -54\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -45 - -85. Suppose j - t = -5*b + 4*b, -8 = -4*b. Calculate the remainder when j is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 707 a factor of 256707458?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1.94 + 1.11. Let m = k + 0.779. Let b = m + -0.249. Sort -1.6, 0.5, b, 1 in descending order.\nAnswer: 1, 0.5, b, -1.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 4\/2 + (6 - 1). Let w be 2\/(-4) + k\/2. Factor -p**5 - 3*p + 2*p - p**3 + 3*p**w.\nAnswer: -p*(p - 1)**2*(p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = g + 260 - 77 - 101 - 82. Let m(t) = -16 - 2*t + 3*t - 52. Determine x(m(z)).\nAnswer: z - 68","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = -d**2 + 6*d + 18. Let x be h(-10). Let g = x + 304. Is 38 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 7165 + -6087.\nAnswer: 1078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: (8\/(-3) + 2)\/((-158)\/(-711))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {b: 2, z: 4}. Give prob of sequence zbb.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 32.8707 grams in tonnes?\nAnswer: 0.0000328707","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -12  (b) 0.5  (c) -1862\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3358287 (base 9) to base 12.\nAnswer: 7337a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 4 divided by 54574362\nAnswer: 2\/27287181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-33)\/6 + 6)*6. Suppose -2*m = -10, -m + 1361 = l + j*l. List the prime factors of l.\nAnswer: 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u = f - 81, -6 = u - 4*f + 33. Let b = 35 + u. Does 9 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = -99*o + 1314. Suppose m + m - 12 = 0. Calculate the remainder when l(13) is divided by m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from zzdzzzzzzdzz. Give prob of sequence dzzd.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -1 - 10*4\/8. Let b = c + 10. Suppose 4*k + 5 = -u, b*u - 2*k = k + 18. Solve p + 3*a = -4, 0*a + 2*a - 9 = -u*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 42631 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = 73*o. Let s be q(-1). Let k = 110 + s. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 48424?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 472 - 469. Solve -4*v + 3 = -o*p - 7, 3*p + 3*v = 18 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = 27*t - 370. Let o be a(14). Suppose 11*h = o*h - 4*f + 1, 1 = -3*h - 5*f. Let r be 1 - 1 - (-8 - 1). Calculate the highest common factor of r and h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -10*q**2 + 176*q + 13818.\nAnswer: -2*(q - 47)*(5*q + 147)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = 206*y + 27995. Determine p(-136).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 64958925.2 rounded to the nearest one hundred thousand?\nAnswer: 65000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 2288633 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1.7 - 2. Let b(z) = -2*z + 61. Let p be b(30). What is the nearest to p in 1, 0, w?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = h**3 - 20*h**2 + 51*h + 9. Let z be f(17). Suppose -z*d + 5*d - 1066 = -5*i, d - 206 = -i. Is i a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 37633001 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 760 and 38.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 52203409 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = v**3 - 36*v**2 - 36*v - 32. Suppose -27 - 10 = -d. Let f be c(d). Solve f*j - 3*j = 3*o - 9, j - 4*o = -12 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (12 + 23 - 10)*(0*v + v - 2*v).\nAnswer: -25*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1106 - 581. List the prime factors of h.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 13354654?\nAnswer: 2, 6677327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 21.6 + -22. Let v = 6 + -6.1. Let i = 1.9 - v. Which is the nearest to 0?  (a) 1  (b) i  (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 100 (base 2) to base 6\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = 4*m + 34. Let k be c(-10). Let f be 2 - (k\/(-4) + (-26524)\/8). Suppose -2*p + f - 1276 = 0. Round p to the nearest one hundred.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {f: 2, d: 8, x: 2, y: 4}. What is prob of sequence ff?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.4 in -3\/5, 2, 4, 5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 627 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 34 + -33.32. Let o = u - 0.68. What is the third biggest value in 0.1, o, 5\/6, 6?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 46*j = -25*j - 48706. What is the third biggest value in 1, 3\/5, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j\/j**(2\/13))\/(j**(-9)\/j*j))\/(j\/(j**(-2\/5)\/j))**(-2\/165) assuming j is positive.\nAnswer: j**(35304\/3575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 8987?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Work out -443190425 - -3.\nAnswer: -443190422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 18\/42652439 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -4 - 3d8?\nAnswer: -3dc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = -3*n + 35. Let c be m(11). Suppose c*x - x = 3*l + 45, -3*x = 5*l - 205. Is x a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 14 and 49364?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -28*u - 11 + 7 = -4 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 2724 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1997548576 to the nearest integer?\nAnswer: 1259","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -27 + 40. Calculate the remainder when 22 is divided by o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:34 AM and 2:07 AM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 2614 + 6602. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.37739 rounded to two decimal places?\nAnswer: 1.38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3332 is divided by 1075.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -637 + 313 = 5*a - 2*h - 309, -h = -2*a - 7 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 7?  (a) 0.3  (b) 2957  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) be the third derivative of 0*t + 3\/10*t**5 + 5\/8*t**4 + 0 + 135*t**2 + 1\/140*t**7 + 3\/40*t**6 + 3\/4*t**3. Let h(v) = 0. Calculate v.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -5\/2 in -17, 1\/3, -0.05, 2, 5?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"}
{"text":"Question: Let l = -206 - -208. Let x = 14 + -12. What is the second derivative of 15*r - 4*r**l + 4*r**x - 4*r + 29*r**3 wrt r?\nAnswer: 174*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -39 (base 15) to base 6.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh smallest value in 2\/5, 6, 27, 2\/13, -2, 127, -15\/2?\nAnswer: 127","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 6.8  (b) 0.2  (c) 2  (d) 9\/4  (e) -2  (f) -5  (g) -8\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 39540 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -83*t - 11162 + 9668 = 0 for t.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is -262807 < -262800?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = -4*n**2 + 6*n + 4. Let r(b) be the second derivative of 3*b**4\/4 - 13*b**3\/6 - 9*b**2\/2 + 2*b - 6. What is -13*p(i) - 6*r(i)?\nAnswer: -2*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 2149464853 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*j - 0*n - 4*n + 12, -2*n + 8 = 0. Solve -j*w = -5*s + 9, 0 = -2*w + 4*w - 3*s + 7 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 420 and 1530?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.451 to one decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/5 in 3\/7, -1\/6, 6, -1.9?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-6740)\/(-44) + (-4 - 5) + (-97)\/(-11). Suppose -839 - 103 = -2*u. Suppose -3*i - v = -u. Is 5 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 53*y**4 + 80 wrt y?\nAnswer: 212*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*l + 307 - 127. What is the greatest common divisor of l and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 36*39147\/78 - 92\/(-598)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 2 and 0.0545?\nAnswer: 1.9455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert -110111011000110 (base 2) to base 7.\nAnswer: -145451","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0 + 2 - 1)*(70*m**3 + 53*m**3 + 90*m**3) to the form a*m + f + x*m**2 + t*m**3 and give t.\nAnswer: 213","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-28)\/322 + (16610\/46 - (-2 - 1)). Is 363 bigger than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 97553637?\nAnswer: 3, 41, 463, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand -x + 2*x - 3 - 3*x + (-3 + 1 + 1 + (1 - 1 + 2)*(-4 - 4 + 3) + 12 - 71 + 3)*(x + x + 3*x).\nAnswer: -337*x - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 69*(364\/(-6))\/(-91)?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = 4*d**2 + 5*d + 12. Let b(c) = -3*c**2 - 3*c - 8. Let z(q) = -7*b(q) - 5*t(q). Let j = 5 - 11. Let k(m) = m + 11. Let v be k(j). Calculate z(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9*o - 192 + 343 - 151.\nAnswer: -9*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(252) + 2 + 1 + -1*sqrt(252)*-3)**2.\nAnswer: 144*sqrt(7) + 4041","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 479 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (1 - 1)*(-10)\/20. Let w(m) be the second derivative of 0*m**2 - 2*m + f + 1\/21*m**3 + 1\/14*m**4. Factor w(b).\nAnswer: 2*b*(3*b + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*z + 4*v - 247, 3*v - 2*v + 227 = 3*z. What are the prime factors of z?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-11 - -15) + 9 - 52) + 9?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(170)\/(sqrt(90)*-2 - sqrt(10)).\nAnswer: -sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) be the first derivative of -c**7 + c**6\/6 - 2*c**3\/3 - 5*c**2\/2 - 70. What is the third derivative of q(m) wrt m?\nAnswer: -840*m**3 + 60*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 14296.05 millilitres to litres.\nAnswer: 14.29605","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 82\/410 + (-11338)\/(-10) a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = -j**3 - 5*j**2 + 94*j + 117. Determine c(-12).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/86?  (a) -1  (b) -0.003  (c) -13  (d) 5  (e) 9  (f) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is (25 + -65 - -23)*2*(-1)\/38 + -1?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(5) + sqrt(5) + sqrt(20)\/sqrt(4))*3*1)**2 + -5.\nAnswer: 400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 179995548.\nAnswer: 2, 3, 31, 59, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (39\/13)\/((-9)\/15).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = 17*w - 23. Is l(8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + ((0 + -2*sqrt(605) - ((sqrt(605) + -1)**2 + 3)) + sqrt(605)*2 + 1 + 4)*-3 + 5.\nAnswer: -66*sqrt(5) + 1818","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 279 take away -3303432126?\nAnswer: 3303432405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 2985, 5464, 9605, 15414, 22897, 32060, 42909?\n\"Answer: g**3 + 825*g**2 - 3*g + 2162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 83123 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 1284?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -6562198 (base 10) to base 9\nAnswer: -13311571","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -36900 divided by 4?\nAnswer: -9225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 27887 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -616 + 1733. Is t 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 1263356?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*3*(0 + sqrt(320))*-6 - (((-2*sqrt(660))\/sqrt(12))\/(sqrt(132)\/(sqrt(12)*-1)) + -2))**2.\nAnswer: 2872*sqrt(5) + 2577624","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 1987135 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vt when two letters picked without replacement from tjvj?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 27*-0.27\nAnswer: -7.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = -o**3 - 7*o**2 - 6*o. Let w be j(-6). Let c be w\/(2*2\/(-2)). Suppose c*q = -2*q + 8. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) be the third derivative of -3*b**5\/20 - 19*b**4\/8 - 19*b**3\/6 - 4438*b**2. What is y(-6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 0\/(2\/((-88)\/20 + 4)). Let k = 2 + 0. Suppose 0 = -z*g - k*g + 54. Is g a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = 52*s**2 + s + 30. Is x(4) a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 586445 and 3710?\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.06695096 rounded to three dps?\nAnswer: -0.067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 25807 and 121943.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Factor 9*x**2\/5 + 591*x\/5 - 198\/5.\nAnswer: 3*(x + 66)*(3*x - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d + 1 = 5. Which is the closest to 0.1?  (a) -1\/4  (b) -1  (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 321 and 476767069.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.05 + 0.01. Let f = 192 - 192.04. Let u = f + 0.24. Sort 0, -0.1, u, z in decreasing order.\nAnswer: u, z, 0, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1219?\nAnswer: 23, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*j + 6*j - 44 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Factor o**3\/4 + 3*o**2\/4 - 81*o + 80.\nAnswer: (o - 16)*(o - 1)*(o + 20)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -151\/1080 and -47\/15120?\nAnswer: 15120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -3 - -4 - -2 - 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 181*p**4 - 93*p**4 - 87*p**4 + p**3 + 12*p to j*p**4 + l*p**3 + u*p + w*p**2 + k and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = -w**3 - 9*w**2 + w - 4. Let q be o(-10). Suppose -5*c + q + 4 = 0. Calculate the least common multiple of c and 6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 6 and 34710.\nAnswer: 34710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round 975040000 to the nearest 1000000.\nAnswer: 975000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = -6811*w + 170269. Let k be t(25). Let u(i) = 13*i**2. Let j(v) = 36*v**3 - v**2 - v + 1. Let c be j(1). Let h(n) = 77*n**2. What is c*u(s) + k*h(s)?\nAnswer: -7*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.4699438 decades in years?\nAnswer: 4.699438","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1162992664?\nAnswer: 2, 4219, 34457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from eexhehhehhehh. Give prob of picking 2 e.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -33 + 131\/4. Let f(b) = 3*b + 11. Let l be f(-4). Is y smaller than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of (0 + -1)\/((-20)\/160) and 2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from dhaasaahaash. What is prob of picking 1 h and 1 s?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mbfm when four letters picked without replacement from ixiifbifmfmfxm?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 47968225 to the power of 1\/2, to the nearest integer?\nAnswer: 6926","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 14, 6, -12, -46, -102, -186, -304?\nAnswer: -462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2429197 is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = g - 32. Let v be x(9). Let o(r) = -7*r - 38. Is o(v) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -9 + 13. Suppose -2*u - 2*u + 360 = 0. Suppose 201 = 5*g + 2*t, -u - 63 = -b*g + t. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 41*g - 157332 = 13*g. Does 23 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0 divided by 110\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*a = -2*f - 2*a + 62, -3*a + 121 = 4*f. Is 14 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0 - 643500*u + 0 + 644842*u to the form n*u + w and give n.\nAnswer: 1342","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(-4*(sqrt(396) + 4*1*sqrt(396) + sqrt(396)) + -5)**2 + -1 + 3.\nAnswer: 8640*sqrt(11) + 1368728","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert -21301300 (base 4) to base 2.\nAnswer: -1001110001110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**(5\/6)*o*(o\/o**(-6)*o)\/o)**14\/(o\/o**(-1\/3)*o**(-5)*o*(o\/o**(2\/5)*o)**(2\/25)) assuming o is positive.\nAnswer: o**(47327\/375)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 70860085?\nAnswer: 5, 101, 140317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 1233 + -1221. Let y(q) = q + 6. Calculate y(a).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 10212 + -10211. Which is the nearest to -6?  (a) 0  (b) -5  (c) x  (d) -0.002\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1\/(-11))\/((330\/45)\/22).\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -196425*z**4 + 903605*z**3 + 1571170*z**2 + 471020*z - 120 = 0. Calculate z.\nAnswer: -1, -2\/5, 2\/7857, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -149\/66 and 101\/24.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b\/(b**6\/b*b))**(10\/11)*(b**(-2\/3)\/b)**(-39) assuming b is positive.\nAnswer: b**(665\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express 373*n + 2351*n + 8146*n + 4338*n + 2 in the form b*n + y and give b.\nAnswer: 15208","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from drdjppddrdrrrdjtxr. Give prob of picking 1 t and 1 x.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1762*s - 3 - 1606*s + 3.\nAnswer: 156*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 25 + -24. Which is bigger: i or -17?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 1 - 58*r - 2 + 0 + 54*r + 4 + 3*r**4 in the form j*r + t + p*r**2 + v*r**3 + f*r**4 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -479 minus 2?\nAnswer: -481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Determine t so that 2*t**2\/11 - 874*t + 9612\/11 = 0.\nAnswer: 1, 4806","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p + 12 - 2 = 4*t, 4*p - 5*t = 4. Suppose 4 - 1 = y. Suppose 4*k = y*k + 2. Solve 4*g + 3*a + p = -14, -k*g = 3*a + 10 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 (base 16) in base 8?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q - 6*y + 29 = -2*y, -2*q - 2*y = -12. Let r be ((-40)\/6)\/5*-3. Are q and r non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -435000 rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 7  (b) -44\/9  (c) 2\/7  (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -6 - -11. Suppose 2*a = -p + 27. Solve -5*g + 8 = -g - 4*n, -g + 4*n + a = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 3 and 99.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-4)\/(-2 + -10)*9. Let k be (84\/(-22) + 4)\/d. Let h be -6*2\/(-4) + -3. Is k > h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + 2 + sqrt(13) + (-3 + sqrt(13))**2.\nAnswer: -5*sqrt(13) + 22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -325, -378, -421, -448, -453, -430, -373?\nAnswer: -276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-2712)\/(-20) - (-7)\/((-105)\/(-6)). What is the highest common divisor of 17 and f?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 599621 and 54511.\nAnswer: 599621","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 10805065 to the power of 1\/6, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 3474771 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 89311000 rounded to the nearest 1000000?\nAnswer: 89000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) be the third derivative of h**4\/12 + 7*h**2. Let b(w) be the second derivative of 2*w + 0*w**2 - 1\/6*w**3 + 0. Determine b(l(s)).\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -3, 126, 385, 774, 1293, 1942, 2721?\nAnswer: 3630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -91156, -182384, -273622, -364876, -456152, -547456, -638794?\nAnswer: -730172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -0.036, 1\/11, 0.1, 5\/4?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -1 and -23354.29.\nAnswer: 23354.29","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"}
{"text":"Question: Let n(l) be the third derivative of l**8\/20160 - l**7\/1680 + l**6\/360 + l**5\/20 + 2*l**2. Let f(x) be the third derivative of n(x). Find y such that f(y) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 5?  (a) 26  (b) -0.4  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*u**2 + 284*u + 10082 = 0 for u.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -156 + 250. Suppose j = -3*n + t, 0 = 2*n - n - j - 38. Find the first derivative of 23 - 3*v**4 + v**4 - n wrt v.\nAnswer: -8*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {m: 2, c: 1, w: 4, z: 7, i: 3}. Give prob of picking 1 i and 3 w.\nAnswer: 3\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*4*(sqrt(96) + (-6*1*sqrt(96) - sqrt(96))))\/((sqrt(144)*4)\/(sqrt(108) - (sqrt(108) + 2*sqrt(108)))).\nAnswer: -360*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -5120, -10268, -15416, -20564, -25712?\n\"Answer: -5148*u + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:30 AM and 10:29 AM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in -5, 9, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 37540 (base 9) to base 2\nAnswer: 110001010001011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d + 4*j - 4 = 0, -4*d = -6*d - 3*j + 7. Suppose 6 = 5*x - 4. Let q = d + x. Are -1 and q non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -110000111 (base 3) in base 9?\nAnswer: -13014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert -100000001111110110 (base 2) to base 6.\nAnswer: -2455302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*c**2 + 1380541*c**3 + 5*c**2.\nAnswer: 1380541*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 38894890?\nAnswer: 2, 5, 3889489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence nbn when three letters picked without replacement from nnbnnbn.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = -718167*l. Let s(t) = -83*t. What is s(b(n))?\nAnswer: 59607861*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (0 + 1)\/((-49)\/14)*5\/35*49. Let z = 24 + -4. Put z, 2, j, -4 in descending order.\nAnswer: z, 2, j, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o + 12 = -o. Let y(l) = l**3 - 4*l**2 + 1. Calculate y(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -15.37*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (9\/(-297))\/((-6)\/(-333)) and 77\/124.\nAnswer: 1364","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0 and -56.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -5748, -11499, -17250, -23001, -28752, -34503?\n\"Answer: -5751*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -87.704 - 0.096. Let t = l - -88. Let w = 9 - 9.05. Sort 2, t, -4, w in descending order.\nAnswer: 2, t, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -17076, -136181, -459466, -1089021, -2126936?\n\"Answer: -17015*k**3 - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 111168 and 180?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 20163 is divided by 4941.\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y*y\/y**(-2\/21)*y*y*y**(-3\/4)*(y**0)**42)\/((y*y*y**2\/y*(y\/((y**(-1\/2)*y*y)\/y)*y)\/y)\/(y\/(y*y**(-1)))**(-6\/5)) assuming y is positive.\nAnswer: y**(-569\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 27*o = 20*o + 14 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 10 - 21?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 m and 1 c when two letters picked without replacement from {l: 1, m: 1, i: 4, c: 2, g: 2}.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -4*(-6)\/(144\/38) - 5\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from xxffxxxfxfxxtx. What is prob of sequence xx?\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-6681)\/(-262) + (-25)\/1.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = -b. Let k(w) = 787*w**2. What is k(t(f))?\nAnswer: 787*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 2535 divided by -39?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-2)\/(-14))\/((-360)\/630). What is the third biggest value in 3, 33, w, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = -173*u**3 - 3*u**2 + 35*u + 1543. Let h(y) = 518*y**3 + 8*y**2 - 93*y - 4629. Let l(q) = -3*h(q) - 8*m(q). Differentiate l(f) wrt f.\nAnswer: -510*f**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 685 is divided by 168.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 761*x = -641*x - 163*x - 895*x - 172200 for x.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = -3 - 5*i - 1 - 3 + 0. What is the remainder when 51 is divided by p(-4)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -49 - -51. Suppose 3*h - 139 = -2*a, 40 = 2*a + o*h - 104. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 3*r**3\/8 + 776703*r**2\/4 - 1553409*r\/8 = 0. Calculate r.\nAnswer: -517803, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2)\/(-48)*9 - (-2)\/(-4).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) be the second derivative of -v**6\/15 - 4*v**4\/3 + 6*v. Find the third derivative of p(d) wrt d.\nAnswer: -48*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 72*d - 298 - 278 = 0 for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-1 - 291\/2)\/((-4)\/8). Let c = f + -144. What is the tens digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 856897202 to the nearest integer?\nAnswer: 950","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -9\/253 and 56\/11.\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = -2*z - 4. Give a(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: (4 - (-5 - -10) - 5) + 1 + 0\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -441247986 divided by -5022.\nAnswer: 87863","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -44902969, -89805953, -134708937, -179611921, -224514905, -269417889?\nAnswer: -314320873","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -135, -149, -163, -177, -191?\nAnswer: -205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 12 - 9. Suppose 0 = 5*q + 5, k*i = 5*q + 168 + 2. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -165 - -115. Let k = -51.5 - b. Let q be 0 + (0\/(-1) - 1). Which is smaller: k or q?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -3484*h*s**3 - h*s - 29*s + 8 wrt s?\nAnswer: -20904*h*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) be the third derivative of -f**6\/360 + 13*f**4\/24 - 10*f**2. Let l(r) be the second derivative of u(r). Let m(t) = -20*t. Determine l(m(g)).\nAnswer: 40*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-1859)\/65 + -8 - -40)\/(1\/(-15))?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 208 and 6.\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 171 = 3*v + 2*v - 2*x, 3*v = -5*x + 84. List the prime factors of v.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 18569, 37137, 55707, 74279, 92853, 111429, 130007?\n\"Answer: x**2 + 18565*x + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 7402\/63 + -824\/7. What is the closest to 2\/11 in p, 3, 13, 4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 1, c: 1, h: 1}. Give prob of picking 1 c and 1 o.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 j and 1 g when two letters picked without replacement from {i: 2, g: 2, s: 1, v: 1, b: 2, j: 1}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:55 AM and 12:07 PM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 5275*c**5 + 2078*c wrt c.\nAnswer: 105500*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 2\/21 + (-691)\/(-21). Solve -29*j = -t*j - 8 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:00 PM and 12:07 AM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/5, -0.1, -1.126, -43.\nAnswer: -43, -1.126, -2\/5, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, 1, -4, 24, -1 in descending order.\nAnswer: 24, 3, 1, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 249 and 35275?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 27457721 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 = -5*j - 4*i, 17*j - 3*i + 9 = 18*j. Put 9, -2, j in descending order.\nAnswer: 9, j, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (64 + -68)\/(-3 + 4)*58\/8?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 24 and 42?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 3\/10, 3, 3\/43, 65, -5, 4?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 3 + 6)*((-2 - 3 + 4)*(1 - 1 - k) + 4*k + k - 3*k).\nAnswer: 6*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 24281 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -4 + 9. Let d = 78 - 75. Suppose 0*f - 5 = -2*g + f, 5*f = -4*g - 25. Solve 0 = -s*n + d*v + 16, 0*n - 3*n - 3*v = g for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 <= 322\/61?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 667 minutes after 2:20 AM?\nAnswer: 1:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -217624 divided by 4?\nAnswer: -54406","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -8*x + 3*x + 10. Let b(h) = 3*h**3 - 2*h**2 + 2*h - 4. Let i be b(x). Let j = -405 + 429. What is the greatest common factor of i and j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -24*(508375\/(-840))\/(-175)?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -160.35 - 4.65. What is the closest to -2 in 0.1, a, 3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 86950485?\nAnswer: 3, 5, 557, 3469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-180)\/(-14) + (-5)\/(-35). Suppose -w + 3*k - f = -3*w, 5*w + 4*k - 15 = 0. What is the units digit of -20*(4 + -3)*w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10.3 minus 23148701?\nAnswer: -23148690.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express (2*i**2 - 2*i**2 + i**4)*(18302 + 19547 - 33598) as b*i + x*i**3 + l*i**2 + a*i**4 + g and give a.\nAnswer: 4251","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = -10*m**3 + 16*m**2 - 10*m + 3. Let y(k) = -7*k + 2 - 2*k**2 + 13*k**2 - 9152*k**3 + 9145*k**3. Determine 5*x(h) - 7*y(h).\nAnswer: -h**3 + 3*h**2 - h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (0 - (-4 + 5)) + (474 - (-2 + -5)) is divided by 98.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 10 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 0 - 4)*(3*f + 0*f - 2*f) + (1 + 2 - 2)*(2*f + 3*f - 6*f).\nAnswer: -4*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Does 4 divide 427?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -338 divided by 83?\nAnswer: -338\/83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*(2*sqrt(1800) - (sqrt(18) + (sqrt(18) - sqrt(162))*-4 + sqrt(18))))\/(sqrt(294) - (-1*sqrt(294)*6 + sqrt(294)) - sqrt(294)*-2*6).\nAnswer: 10*sqrt(3)\/63","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is -63897 < -63899?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 38 minutes before 11:23 PM?\nAnswer: 10:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 115 in -2, 4.1, 68, 0.6?\nAnswer: 68","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 80*r - r**4 + 2*r**4 - 164*r**2 + 1 + 2*r**4 + 1 - r**3 - 81*r to the form x*r**4 + a*r**3 + g + u*r**2 + b*r and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"}
{"text":"Question: Expand ((1 - 3 + 1)*(-3*j + 6*j - j) + 8*j - 2*j - 24*j)*(-5 + 5 + 2*j).\nAnswer: -40*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 108 = -2*l - 2*l. Let p = l + 45. Let y = p + -6. Does 8 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 0.5  (b) -28  (c) 45\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 908620 to the power of 1\/4, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 467977 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.335 to 1 decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from bbbymqeeemeeee.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d - 5 - 3 = -o, -3*d + 1 = 2*o. Suppose -3*q + 10 = -q, -2*g + 11 = 3*q. Put -3, g, d in descending order.\nAnswer: d, g, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 309 minutes after 11:45 AM?\nAnswer: 4:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 157 and 1413?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 65753 to the nearest integer?\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 19 + -19. What is the nearest to d in 0.3, 0.2, 3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*d**3 + 6*d**3 - d**3 + (2 - 2 - d)*(7*d**2 - 3*d**2 - 2*d**2))*(26 - 9 - 22) - 5*d**3 + 0*d**3 + 2*d**3 + d**2.\nAnswer: -18*d**3 + d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 122 + 91 + -197 - (-1 - -10) - 25?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {l: 3, w: 3, g: 3, s: 2, d: 3}. Give prob of picking 1 w and 2 l.\nAnswer: 9\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 0.1*0.24\nAnswer: 0.024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 106631232 divided by 139936?\nAnswer: 762","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 51 a factor of 449?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(133)*3*2)\/(3*sqrt(28)))**2*5 + -3 + 3.\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = -f + 1. Let c(y) = 6*y + 15. Calculate -c(m) + 15*d(m).\nAnswer: -21*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express (1 - 1 - 4 + (3 - 1 - 3)*(2 - 1 + 1))*(42*q - 375*q - 213*q) in the form n + p*q and give p.\nAnswer: 3276","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 331?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = -b - 3. Let u(d) = -381*d - 32. Determine -10*m(p) + u(p).\nAnswer: -371*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(208) - (sqrt(208) - (sqrt(208) - (sqrt(208) + (sqrt(208) + (sqrt(208) + 1 - sqrt(208)) + sqrt(208) + sqrt(208) + 0 + sqrt(208) - sqrt(208)))))**2.\nAnswer: -3329 - 28*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-36)\/(-8) - 4)*-2. What is the smallest value in u, 4, -0.1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 4236?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -289.039 rounded to 0 dps?\nAnswer: -289","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1864 rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = 16 - 4 - 5 + 14*z - 17 - 6*z. Give k(7).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = -3*i**2. Let l(n) = -11*n**2 - 5*n**2 + 20*n**2. Give l(a(f)).\nAnswer: 36*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*t**4 + 453*t**3 - 666135*t**2 + 87320079*t + 1248647400 = 0 for t.\nAnswer: -600, -13, 231","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -118.466 - -0.466. What is the third biggest value in n, 1\/2, 2\/9?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*j**2 + 2 - 11461*j**3 + 22914*j**3 - j + j**2 - 11445*j**3 to the form l*j**3 + p + m*j**2 + b*j and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify r**(-1\/19)\/r**(-16) assuming r is positive.\nAnswer: r**(303\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -284610 divided by 318.\nAnswer: -895","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = 3*a**3 - 36*a**2 - 17*a + 3. Let r(s) = s**3 - 12*s**2 - 6*s + 1. Determine 6*d(t) - 17*r(t).\nAnswer: t**3 - 12*t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 9 - 5. Let x be (-18)\/c - 12\/24. What is the closest to 0 in x, 2, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*r + 180 = -3*r. Suppose 0*a - 4*a - 3*x = 37, r = -3*a - 5*x. Let k = -5 - a. Which is bigger: 3 or k?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-16)\/33)\/4)\/(82\/369).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 87188, 86971, 86754, 86537?\nAnswer: 86320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 3493\/49 + ((-15)\/(-21) - 1). Let f = 116 - v. Is 22 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 21434472 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.0431972 nanograms to milligrams.\nAnswer: 0.0000000431972","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from efkkkfxiffkqf. What is prob of sequence xkf?\nAnswer: 5\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = -r**3 + 13*r**2 + 29*r - 52. Give x(10).\nAnswer: 538","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*c**3 - 2*c**2 + 41*c - 41*c + 27 + 16 as w*c**3 + u*c**2 + q + f*c and give q.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.2 in -0.4, -398, 2, 16, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -5 + (9 - (-1 + 1))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4154267 is divided by 4565?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = s**3 - 6*s**2 - 8*s + 9. Let g be y(7). Suppose 141 = o + g*o. Calculate the remainder when o is divided by 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = x**3 - 6*x**2 - 24*x + 123. Let r be k(7). Suppose 7*i - 8*i - 8 = -r*w, 5*i = 5*w + 5. Let c = 2.9 - 3. Put c, w, 13, 0.2 in decreasing order.\nAnswer: 13, w, 0.2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 214 + -29. Let o = -173 + p. Solve o = 4*m - 0*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 8277 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 = -d + 8. Let n(k) = -6*k + 1. What is n(d)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 69 = 3*d - 5*x + 23, -10 = 2*x. Suppose -2*j + 6 = 0, o + 0 = 3*j + 1. Suppose o*w - 173 = -203. Sort 1, 3, w, d in increasing order.\nAnswer: w, 1, 3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 - 6 = -5*v. Let d(h) = -5*h - 42. Let k be d(-10). Suppose 13*f + 2*f - 150 = 0. Solve w = -v*g - k, 0 = -3*w - 4*g - 6 - f for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from nchhksg. Give prob of sequence hkn.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -249, -105, 39, 183, 327, 471?\nAnswer: 615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = 776*f - 3873. Let x be o(5). Which is smaller: x or 28?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-396*n + 308*n + 222*n)*(-5*n - n + 0*n).\nAnswer: -804*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 66 a factor of 4672221?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -106061 - -44333?\nAnswer: -31425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m + 67 = 2*i, 105 = -4*m + 2*i + 17. Find the common denominator of 127\/66 and m.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.3?  (a) 3  (b) 1\/9  (c) -0.475\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q - 41 = 5*p, -2*p - 6 = 123*q - 119*q. Put q, -40, -7, 1 in descending order.\nAnswer: q, 1, -7, -40","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {x: 15, k: 4}. What is prob of picking 1 k and 1 x?\nAnswer: 20\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 490 + -486.77. Round z to one decimal place.\nAnswer: 3.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.5 times -3518?\nAnswer: 1759","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-12)\/(-10) + (-44)\/20 + 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = 110*t**2. Suppose 2*z = 2 + 2. Let m(c) = 5*c**2. Give z*w(u) - 45*m(u).\nAnswer: -5*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 628000487.\nAnswer: 23, 27304369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qth when three letters picked without replacement from {q: 4, h: 4, g: 6, c: 4, t: 2}?\nAnswer: 4\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 11770283 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 448 minutes before 6:43 AM?\nAnswer: 11:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 136075 times -0.3\nAnswer: -40822.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 224 is divided by 37.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 3600 and 375.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -146, -593, -1344, -2399?\n\"Answer: -152*h**2 + 9*h - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 236383012 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 17249 and 132587?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -113446\/9 - -922931\/72. Are 214 and f unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2518\/7?  (a) 0.12  (b) 4  (c) -1.43\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 77 is divided by 39.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from yynynyyyyyyyy. Give prob of picking 2 y.\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 42430.\nAnswer: 2, 5, 4243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 3593134 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 776 = o + o - 2*m, 4*m = 3*o - 1168. Does 48 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from {q: 7, t: 7}.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(425)*2 + sqrt(17) - -1*sqrt(17)*4) + 1*sqrt(85)\/(sqrt(180)*-4))**2.\nAnswer: 2190977\/576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = -239*h**2 - 5*h - 1 + 4*h + 464*h**2 - 226*h**2. Let s(u) = -3*u**2 - 4*u - 7. Give s(f) - 4*y(f).\nAnswer: f**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 2034 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: (-23)\/(14421\/(-14763)) + 12\/(-22)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Does 1243 divide 3471699?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.6 - 2.6. Let h = -0.0392 - -0.4392. Put -3, h, 1\/6, u in increasing order.\nAnswer: -3, u, 1\/6, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 3402 - 1233110?\nAnswer: -1224203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: (7 + -36 - -50) + 0\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is ((4\/8)\/(4\/16))\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: ((-1102)\/(-87) + -11 + -1)*-6\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*i**2 - 3*i + 3*i + i**2 + i - i + (-3*i + 0*i + i)*(2*i + 2*i - 5*i) - 2*i**2 - 28*i + 28*i - 52*i - 18*i**2 + 26*i + 28*i.\nAnswer: -15*i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) be the second derivative of 5*r**3\/6 - 9*r. Let v(j) = -10*j**2. Determine v(x(a)).\nAnswer: -250*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-36)\/15*100\/30. Let n(p) = p**2 + 7*p - 2. Calculate n(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0 + -1. Suppose 2*d - 3*t + 2*t + 22 = 0, 2*d + 34 = 4*t. Let o be (-39)\/d + -4 + 2\/3. Which is the nearest to m?  (a) 0.1  (b) 3\/2  (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 206951\/5, 2\/9, -12, -0.2 in descending order.\nAnswer: 206951\/5, 2\/9, -0.2, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -223.9 - -223.88763. Round l to three dps.\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 147?  (a) -22.6  (b) -3  (c) 5  (d) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 28, 56, 122, 244, 440, 728?\nAnswer: 1126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -16 - -20. Suppose 0 = 2*x - f, -19 = -5*j - 9*x + 7*x. Suppose 0 = -j*m + 7*m - 1204. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = -m - 1. Let y(t) = 7*t - 4. Calculate -2*r(x) - y(x).\nAnswer: -5*x + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 20\/30*(-6)\/(-8)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = 22*w**2. Suppose 3*i + 5*y = 4*y + 12, 5*i = 3*y + 34. Let h(j) = -11999*j + i*j**2 + 11999*j. Give z(h(a)).\nAnswer: 550*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (1 - 5) + -5 + -5 + 18. Which is the closest to -0.1?  (a) m  (b) -9  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {j: 7, i: 2, s: 3, g: 1, r: 5}. Give prob of sequence ssj.\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: ((-3)\/2)\/(((-12264)\/3248)\/(-73))\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 3086, 6140, 9148, 12086, 14930, 17656, 20240, 22658?\n\"Answer: -4*t**3 + t**2 + 3079*t + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*k - t + 42, 97 + 228 = -k + 15*t for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x + 2 = 6, -5*y = -2*x - 7. Let q = -8.11 + 7.61. Which is the biggest value?  (a) y  (b) q  (c) 1\/3  (d) 0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 714 minutes before 5:04 PM?\nAnswer: 5:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2*g**3*n**3 + 1493*g**3*n**2 - 6031*g**3*n - 1597*g**2*n**3 - 33*g**2*n**2 - 2*g*n + 5*n**3 wrt g?\nAnswer: -12*n**3 + 8958*n**2 - 36186*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -133*c - 1592 = -13296. Solve c - 78 = 4*w - 3*h, 2*h = 5*w - 9 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 654258 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 10:14 AM and 9:19 PM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 13 and 559.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 549 + -213. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(704) - (sqrt(704) + 1)*-2)**2 - ((-4*(-1 + sqrt(11)))**2 + 0) - (sqrt(220)\/(2*sqrt(5)))\/(-1*sqrt(20)\/sqrt(5)).\nAnswer: 257*sqrt(11)\/2 + 6148","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + (-5 + sqrt(5)*1)**2 - ((sqrt(245) + sqrt(245)*2 + -3)**2 + sqrt(245)) - ((sqrt(250) - -2*sqrt(250))\/(-1*sqrt(2)*1) + -2).\nAnswer: -2184 + 124*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Does 6 divide 2206026?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 860, 40, -0.5?\nAnswer: 860","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = 27 - 25*l - 49*l**2 - 15*l + 51*l. Let o be v(-14). Let h = -14331 - o. What is h rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -399*l**2*t**2 + 17787*l**2*t - 2*l**2 + 111*l*t**2 + 3066*t**2 wrt l.\nAnswer: -798*t**2 + 35574*t - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = 11*y - 27 + 11 + 3*y - 4*y**3 + 22 + 2*y**2. Let u(i) = -3*i**3 + 3*i**2 + 10*i + 5. Let k(q) = 5*s(q) - 6*u(q). Let k(n) = 0. What is n?\nAnswer: -5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 3 + -3 - 224\/(-10). Let t = j + -22. Which is the second biggest value?  (a) -5  (b) 5  (c) -3  (d) t\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1142 is divided by 647.\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m - 11 = -k, -2*m - 3*k = -0 + 6. Suppose n + 3*n = -m*r + 53, -2*n - 2 = 0. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*m - 40 = -28. What is the lowest common multiple of m and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 636661*h**2*t - 2100743*t wrt h.\nAnswer: 1273322*h*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 17 and 459?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = -2*r. Let z be (-24)\/(-4) + (-1 + -1 - 4). Let w(s) be the third derivative of z - s**2 - 11\/24*s**4 + 0*s + 0*s**3. Give l(w(q)).\nAnswer: 22*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 910*m = 913*m - 12. Suppose 0 = x - 3 - 0. Suppose -4*l = -4*z + 28, -x*z + 0*z + 13 = l. Solve 2*a = m*r + 18, 0*r - a + 21 = -z*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 3\/5?  (a) -4  (b) -0.4  (c) 3  (d) -10\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1081395 is divided by 409.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1569 * -0.1.\nAnswer: 156.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 158592 and 237888.\nAnswer: 475776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = -7*m**3 - 2*m**2. Let d be t(-2). Let v = 72 - d. Does 12 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 58113 minus 10430226697?\nAnswer: -10430168584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -4.1 - -0.6. Let z = -3.45 - b. Is z at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*i - 24 = -i. Let d be (i - -15) + 7 + -13. Solve d*p - 17 + 12 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 493664528 a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -4163 - -77?\nAnswer: -4075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -6765 + 6764.5. What is the second biggest value in g, -0.4, -2, 0.6?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8847?\nAnswer: 3, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -50 + 52. Let 79 - 48*x + 112 - x**2 - 47 + 5*x**u = 0. What is x?\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.14 and 69.5?\nAnswer: -9.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 60 + 169332153356\nAnswer: 169332153416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (y - 2 + 2 + (0 - 4 + 0)*(-2*y + 4*y - 4*y))*(-4 + 4 + 7) + 2*y - 3*y + 4*y to the form m + w*y and give w.\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 22595, 22614, 22621, 22610, 22575, 22510, 22409, 22266?\n\"Answer: -u**3 + 26*u + 22570","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 231341 - -131441?\nAnswer: 413332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 69775?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 + 4 = p. Let n(g) be the first derivative of 2*g + 2 - 3*g**2 - 3*g**4 + p*g**2 + 4*g**4. Differentiate n(l) with respect to l.\nAnswer: 12*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 906325.4ms in microseconds?\nAnswer: 906325400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = -1400*k + 4689. What is m(3)?\nAnswer: 489","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -17855, -35729, -53603, -71477, -89351, -107225?\n\"Answer: -17874*o + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-10 - -2)*1\/1. Let m(r) = -r**3 + 4*r**2 + 11*r + 9. Let d be m(6). Let n = d + l. Put -1, -2, n in increasing order.\nAnswer: n, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8*13\/520*1.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence tff when three letters picked without replacement from cofffootooocfoocgot.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 81 - 18. Calculate the greatest common factor of u and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16*k - 13*k - 792 = 0. Is k a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine r, given that -3*r**3\/5 + 7668*r**2\/5 + 511707*r\/5 - 1604052\/5 = 0.\nAnswer: -68, 3, 2621","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 177016 and 196?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 155 - (8\/(-2) + 2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*j**2 - 19860*j + 59616 = 0.\nAnswer: -4968, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 261 is divided by 33.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = k + 15. Let r be q(-9). Find the common denominator of 66\/(-15)*(-20)\/(-6) and (-113 - 5)*(-1)\/r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((6*(sqrt(612) - sqrt(612)*-1) + -3 + (sqrt(612)*1 - sqrt(612)) + sqrt(612) + -2)*2)**2.\nAnswer: -3120*sqrt(17) + 413812","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = 449101*r - 111. Let a be c(11). Suppose -139*n + a = -138*n. Round n to the nearest one hundred thousand.\nAnswer: 4900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.2 * -1680.\nAnswer: 336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 7359.42ug in grams?\nAnswer: 0.00735942","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -65*v**3 + 5 + 7 - 12.\nAnswer: -65*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 485696 and 192.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 595 a factor of 2223926?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10 + 24 = 14*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -18338 divided by -9169?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 95145 is divided by 47515?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-4 + sqrt(891) + -5)*3 + -2*1*sqrt(1331)*4)*-5.\nAnswer: 135 + 305*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 20 + -5?\nAnswer: 1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 717164 a multiple of 152?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/7 in -19, 0, -2\/5, -2\/19?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 61655075, 123310148, 184965219, 246620288?\n\"Answer: -w**2 + 61655076*w","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 9458 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0007155913 to five dps.\nAnswer: 0.00072","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {a: 11, x: 4, i: 3}. Give prob of picking 1 x and 1 i.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (-2)\/2 + 2 + 1\/((-2)\/(-558)) is divided by 159?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = -u - 5*u + 3*u - 2. Suppose 0 = -4*c + 20, -365 = 2*z + 4*c - 395. Determine w(z).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 149092?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -41109\/6410 or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2450?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 40\/73 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence kt when two letters picked without replacement from {t: 1, k: 1, b: 2}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 21508 (base 10) to base 4\nAnswer: 11100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express (0*b - 3*b + 2*b)*(9*b - 14*b - 5*b) - 32*b**2 - 8*b**2 + 0*b**2 as f + w*b**2 + j*b and give w.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 482 minutes before 4:55 AM?\nAnswer: 8:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 329 a factor of 234577?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 18571 and 49.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(1300) + sqrt(1300) + (sqrt(1300) + -4)*3.\nAnswer: -12 + 50*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = -20*n**2 - 5682*n - 266. Give g(-284).\nAnswer: 302","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 181 not equal to 180?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = -y**2 + y + 21. Suppose 24*h = 21*h. Give f(h).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 16  (b) 2\/9  (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 26 * -4\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 1756996531 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 2179 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:01 PM and 8:28 PM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Add together 19.23 and -3026587148.3.\nAnswer: -3026587129.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 5 - -6ecbeb?\nAnswer: 6ecc01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -855 - -855.5. What is the nearest to 1\/2 in k, -0.2, 0.1, 5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = -z**2 + 13*z + 2. Let w = -7 - -20. Give y(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = w. Suppose -10 = -3*h - 2*h. Let f(r) be the first derivative of -r**2 - r**2 - 1 - r**h + 2. Give f(b(m)).\nAnswer: -6*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = k - 1. Let m(u) = -2*u - 7. Calculate 6*f(j) + m(j).\nAnswer: 4*j - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = -i**3 - 7*i**2 - 12*i - 5. Let v be b(-5). Suppose 8 = -v*n + 18. Suppose 38 = -3*x - 2*g + 133, n*x - 4*g = 58. Does 26 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -137 by 7268.\nAnswer: -137\/7268","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = -z**3 + 25*z**2 + 42*z - 158. Calculate the remainder when 691 is divided by d(26).\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -125*o**3 - 3 + 1153*o - 11*o**3 + 135*o**3 to the form r*o**2 + c*o**3 + g*o + p and give g.\nAnswer: 1153","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 5486?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.03, 93, -71916 in descending order.\nAnswer: 93, 0.03, -71916","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h**2\/5 + 11294506*h\/5 = 0. Calculate h.\nAnswer: -5647253, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (2 - 2)\/(7 - 5). Solve x = 2*m - 5*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {u: 3, c: 9}. What is prob of sequence cc?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rr when two letters picked without replacement from {c: 7, r: 7, k: 2}?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2 + 3 - (-161)\/(-115).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in one quarter of a meter?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*(((sqrt(72)*1*1 - sqrt(72)) + 4)**2 - (2*sqrt(72) + 0 + -2*sqrt(72)*4)) + -5)*1.\nAnswer: 59 + 144*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is -1169\/1579 <= 34?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {f: 1, o: 4, g: 3, l: 2, j: 7}. What is prob of picking 1 o, 2 g, and 1 l?\nAnswer: 6\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3 + 3 - 2)*(-5 + 6 + m + 0) + (-10 + 1 - 4)*(113*m - 57306 + 57306) to f + p*m and give p.\nAnswer: -1471","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*k = 4*k + 2*c - 16, -20 = -5*c for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.31 * -27.\nAnswer: -8.37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 138 divided by -82352.\nAnswer: -69\/41176","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from {y: 2, g: 5}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence yww when three letters picked without replacement from iwncwcitiytt.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.273733896 rounded to 3 dps?\nAnswer: -0.274","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) be the third derivative of j**4\/24 + j**3\/6 + j**2. Let s be k(6). Let h(c) = c**3 - 8*c**2 + 10*c - 4. What are the prime factors of h(s)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -394a - -100?\nAnswer: -384a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t - 232 - 61 = 11. Calculate the greatest common factor of t and 56.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -2\/37 at least 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is fifty-one eighths of a milligram in micrograms?\nAnswer: 6375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 351*0.3.\nAnswer: 105.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = -15*s. Let v(u) = 1151*u - 5676. Give x(v(i)).\nAnswer: -17265*i + 85140","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 8984 - 35933\/4. Factor 1\/2 - 1\/4*m**3 + 0*m**2 + c*m.\nAnswer: -(m - 2)*(m + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1650 (base 9) in base 8?\nAnswer: 2354","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -4c + 80c?\nAnswer: 790","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 26079 a multiple of 79?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + sqrt(162) + 5)*5.\nAnswer: 25 + 45*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**(-2\/5)\/c)**(-15)*(c*(c\/(c*c\/(c*c**(-2\/5)*c)*c*c))\/c)**(-46) assuming c is positive.\nAnswer: c**(427\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-8)\/(-2))\/(-4))\/((-3)\/18*-3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: (2*4\/(-24))\/(-1)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = m + 4*m. Solve 0 = 4*h - 4*o + 4, m = -o - 0*o + 5 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 8374, 8368, 8362?\n\"Answer: -6*h + 8380","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 421.\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 408153403 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) be the first derivative of 2*h**3\/3 + 3*h**2\/2 - 2. Let d be y(-2). Let k = -0.03 - -5.03. Sort -0.5, d, k in descending order.\nAnswer: k, d, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m + 105 = 5*h, -4*h + 5*m + 98 = 10. Let j = h + -13. Suppose 85 = j*b - 67. What are the prime factors of b?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2 - -10) + (-130)\/((-1486290)\/(-137307))?\nAnswer: -1\/103","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2*r*w*x*y + 21*r*x**2*y**2 + 3*w*x*y**2 - 96*w - 3*x**2*y + 2*x**2 wrt y?\nAnswer: 42*r*x**2 + 6*w*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -5638.4 + -2.23377717\nAnswer: -5640.63377717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 17413?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + 6*((-2*sqrt(143)*3 + sqrt(143))*-6)\/(4*(sqrt(22)*1)\/sqrt(2)))**2.\nAnswer: 26325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) be the second derivative of 2*k**3\/3 + 4*k**2 + 2*k. What is the first derivative of y(a) wrt a?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 5080 and 121158.\nAnswer: 2423160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 175?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1 - -4. Let l be 605*1*2\/z. Let t = -2098 - -2120. Calculate the greatest common factor of t and l.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1\/26 + 23\/78. Let t = 13\/7 + -131\/63. Which is the closest to -2?  (a) j  (b) t  (c) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = -9*g + 1. Suppose -a + 3 = 4. Let y be q(a). Suppose -5*i - 336 = -y*i - c, 3*i = c + 200. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o - 2*q = -4, -3*q - 20 = -3*o - 14. Factor -9*n**4 + 7*n - 7*n**3 + 3*n**2 + 8*n**4 + 6*n**o - 8.\nAnswer: -(n - 1)**2*(n + 1)*(n + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -16 by -287201.\nAnswer: 16\/287201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (12\/(-14))\/((-18)\/84).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.1, 703, 1, 0.4 in increasing order.\nAnswer: -0.1, 0.4, 1, 703","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: ((-57)\/21)\/(18\/63)*12\/3\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 178186090.\nAnswer: 2, 5, 97, 183697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 442632 (base 12) in base 11?\nAnswer: 67a43a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 4884*b**6 - 20*b**4*f**2 - 3*b**2*f**2 + 2*b**2*f - 627*f**2 wrt b?\nAnswer: 586080*b**3 - 480*b*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 5*-1393\nAnswer: -6965","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -46, -86, -136, -196, -266, -346?\nAnswer: -436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 166, 322, 542, 820, 1150, 1526, 1942, 2392?\n\"Answer: -x**3 + 38*x**2 + 49*x + 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 27\/(-30)*3\/9.\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 71971200 and 84?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 237955 times 0.3\nAnswer: 71386.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*((5*sqrt(720) - sqrt(720)) + sqrt(720)) + -3*sqrt(55)\/sqrt(11)*5)**2.\nAnswer: 406125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 990674221 to the nearest integer?\nAnswer: 997","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 78 and 298301263?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 8\/(-2) + 4496\/(-448). Let c = -55\/4 - i. Which is bigger: c or 120?\nAnswer: 120","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -656*o + 2084 = -121*o - 56 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = -w**2 + 3*w + 4. Let v be m(3). Solve -4*h = -3*h + j + 1, -v*j = -h + 9 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -59215804*i**4 + 159567832*i**2 wrt i.\nAnswer: -1421179296*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2178958*i**2 + 8240104.\nAnswer: -4357916*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence irqr when four letters picked without replacement from {i: 1, q: 4, r: 2}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 11844343 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = -99*a - 5. Calculate f(1).\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = -49*r + 36. Does 15 divide p(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 103, -75, 0 in descending order.\nAnswer: 103, 0, -75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.43715 times -0.3?\nAnswer: 0.131145","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = a + 1. Let w(o) = -64*o + 16. Let d(s) = w(s) - 8*x(s). Let f = -297 + 296. What is the units digit of d(f)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 517 a factor of 129824904?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -83*n - 13312 = -113*n - 178*n. What is the highest common divisor of n and 544?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) be the first derivative of 3*f**2\/2 - 43*f + 74. Let p(a) = -a**2. What is x(p(l))?\nAnswer: -3*l**2 - 43","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -54 - -23. Let z = -10.6 - c. What is z rounded to zero dps?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 172224776?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-14420)\/(-140) - (-1170)\/(-26)?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 3 from 72943.\nAnswer: 72940","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) be the first derivative of -2\/3*r**6 + 3*r**2 + 0*r**5 + 0*r**3 + 0*r**4 + 8 + 0*r. What is the second derivative of l(v) wrt v?\nAnswer: -80*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -9750308 * 1.\nAnswer: -9750308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = -2*d**3 + d + 1. Let h be z(-1). Suppose -h*s + 14 + 0 = 0. Let w(b) = -29*b - 55. Calculate the remainder when s is divided by w(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 35283 divided by -1857.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 (base 7) in base 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s - 8 - 10 = 0. Let f = -3 + s. Solve -5*v - 5*a = -45, 6*a - f*a + 3 = 3*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-138*t**3 - 143*t**3 + 307*t**3)*(-3 - 2 - 3) in the form x*t**3 + g*t + u*t**2 + i and give x.\nAnswer: -208","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c**4\/9 + 130*c**3\/9 + 200*c**2 - 2200*c\/9 - 3872\/9 = 0. Calculate c.\nAnswer: -44, -22, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert 104 (base 12) to base 3.\nAnswer: 12111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-1 - -121) + 1 + (-2)\/(-1). Let y be (-2)\/(-14) - ((-9348)\/(-14))\/(-2). Let s = y - f. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-26)\/4*1352\/676?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 517 minutes before 4:23 AM?\nAnswer: 7:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1828233110 to the nearest integer?\nAnswer: 1223","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 3.81 + -0.144\nAnswer: 3.666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 6 - -237?\nAnswer: 242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 239119 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q = -2*p - 38, 4*p = -p - 15. Suppose 3*o + 0*f + 2*f - 7 = 0, q = -3*o + f. Does 11 divide (3 - o)\/((-3)\/(-24))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*sqrt(1008)*-6 + sqrt(1008).\nAnswer: -60*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (10*c - 11*c + 9*c)*(1 + c + 1 + 0).\nAnswer: 8*c**2 + 16*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 1406803 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -828 divided by 207.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v - 8*g + 7*g = -330, 0 = -5*v + 2*g + 315. What is the remainder when v is divided by 52?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2781*a**2 + 1901*a**2 + 1773*a**2 + 5 + 3618*a**2.\nAnswer: 10073*a**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 56081 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 6243253 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-3)\/1*(-5)\/(-195)?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f + 28 = -3*z, -f + 0*f + 59 = -4*z. Suppose -2*p - 5*h = -65, 0 = h + 2 - 3. Let o = p + z. What is the remainder when 40 is divided by o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 402 a factor of 420605766?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Does 64 divide 46720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = -1481*h. Let q(y) = -99*y. Calculate w(q(j)).\nAnswer: 146619*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(((2 + sqrt(252))*-6 - ((sqrt(252) - 2*sqrt(252))*-6)**2)*-2 + -5).\nAnswer: 360*sqrt(7) + 90815","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 1628500 to the power of 1\/2, to the nearest integer?\nAnswer: 1276","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1160 and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((5\/14)\/((-180)\/(-108)))\/(6\/7).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put -648, 1, -3, 1366 in ascending order.\nAnswer: -648, -3, 1, 1366","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*k - 63 = 3*m, k + 4*m - 3*m = 11. Let s = k - -35. What is the tens digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 206 - 61. Suppose -4*b + y = -3. Let a = 65 - b. List the prime factors of a.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 103\/110360 and 113\/16554?\nAnswer: 331080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 2*c**2*j + 2236*c**2*q - 5*c**2 + 10*c*j**2 + c*j - 121*j**2*q - 19*j**2 - 40*j*q - 4 wrt q?\nAnswer: 2236*c**2 - 121*j**2 - 40*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = -2*f - 2. Suppose 4*g = -z + g - 20, 4*z + 5*g = -45. Let y(h) = h + 1. Give z*x(m) - 8*y(m).\nAnswer: 2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 211015 - -236?\nAnswer: 211252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -828*t**4 + 10*t**3 - 909618*t**2?\nAnswer: -19872*t + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = -l**2 + 14*l + 8. Let j = 714 + -699. Determine c(j).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 108*j = 112*j - 24. What is the highest common factor of j and 33?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*n**2 + 2536*n + 267736.\nAnswer: -2*(n - 1366)*(n + 98)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -36.5 + 36.341. Let g = 1.159 + v. Which is the closest to g?  (a) -0.1  (b) 0.2  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.301+-0.6\nAnswer: -0.901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is -27700455\/16 greater than or equal to -1731279?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2169135 is divided by 3190?\nAnswer: 3125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2 + 6 + 7*x**2 - 8.\nAnswer: 7*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*o = -3*o. Suppose o = 3*b - 155 + 20. Calculate the greatest common divisor of b and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 52, -33, -5 in decreasing order.\nAnswer: 52, -5, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 5539106464 a multiple of 2351?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put -84, -4, 28, 366 in decreasing order.\nAnswer: 366, 28, -4, -84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: (4\/((-64)\/10)*2)\/(-25*(-2561)\/(-520))\nAnswer: 2\/197","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 27*g + 37 = 14*s + 22*g, 10 = 3*s + g for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:16 AM and 2:09 PM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -50, -4, 132, 406, 866?\n\"Answer: 8*c**3 - 3*c**2 - c - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000340142939 rounded to 7 decimal places?\nAnswer: -0.0003401","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence jxtv when four letters picked without replacement from vxvxtvnjvjjvxvj?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -6 (base 12) to base 9\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -24240593 + -a?\nAnswer: -242405a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 625712.\nAnswer: 2, 39107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of (-25 + 4)\/(2\/(-12))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -171600993 minus -133?\nAnswer: -171600860","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = -26*b**2 - 136. Let d(u) = 24*u**2 + 137. Let o(n) = 2*d(n) + 3*l(n). What is the derivative of o(q) wrt q?\nAnswer: -60*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9 = -5*r - 13*k, -2*r + 16*k = 15*k - 16 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in 4, 1\/13, 1\/3, -3?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-five quarters of a millennium in months?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -11 - (-10 + 1) - (3 + -1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 69136 + 349302 = 62*q. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -87 + 33. What is the common denominator of (-82)\/(-4)*6\/h and 6\/33 + (-6)\/4?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 117 a factor of 7419555?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 7 - 2. Suppose 8*r - 6 = 6*r. Solve -r*m = x*t - 0*t + 20, -3*t = 4*m + 23 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 28740 and 25?\nAnswer: 143700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-1 + 8*-2)*-11. Let i = -87 + v. Round i to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 2 - -9. Let q(h) = 2*h**2 + 8*h - 2. Let r be q(-6). What is the greatest common divisor of x and r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -92039.91 - -91387. Let c = b - -637.8965. Let w = -15 - c. Round w to 3 decimal places.\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d**3 + 20441048*d**2 + 306616564*d + 286175512 = 0. Calculate d.\nAnswer: -14, -1, 5110277","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1467 + 1530 = 9*l. Suppose 4*v - 445 = -3*i, 45*i - l = -3*v + 42*i. What is the highest common divisor of 14 and v?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*d - 434*y + 428*y - 47 = 0, 3*y - 5 - 4 = 0 for d.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4*-3746.\nAnswer: 14984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 51000 is divided by 295.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 22 + -17 + (-8 - 1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-3)\/(-2))\/(76\/152). Solve 5*m + 2*p = 1, -y*p + 0 - 9 = -3*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = 14*x**3 - 5*x**2 + 103*x - 242. Give a(3).\nAnswer: 400","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -135485398 = 9*j - 41885398. What is j rounded to the nearest 1000000?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-2)\/14)\/(31*(-31)\/6727)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*q = 9*q + 1 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 9.498858 micrograms?\nAnswer: 0.000009498858","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 439 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 11*g**2 - 92*g**3 + 99*g**3 - 30*g**2.\nAnswer: 7*g**3 - 19*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 5 + -6411?\nAnswer: -6403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -44\/2231 + -62693\/327957. Find the common denominator of -15\/49 and z.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 679 is divided by 34?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -q + 4*f = -16, -93*q - f = -98*q + 4 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) be the first derivative of s**6\/36 + s**5\/6 + s**4\/3 + 2*s**3\/9 + 1. Determine r, given that g(r) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -136 - -4?\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 2\/(-12) - 1\/(-2). Let w = -37\/50 + 6\/25. What is the closest to c in w, 1, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -18062 + 18204. Calculate the remainder when 833 is divided by h.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -72*w - 10 = -73*w. Suppose -5*r + 0*r - 165 = 0. Let g = r + w. Is 0.1 > g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = 9*c**2 + 19*c + 43. Calculate x(0).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = 9*i - 8. Let h(p) = 2*p + 1. Let n(k) = -3*k - 1. Let z(s) = 4*h(s) + 3*n(s). Let m(j) = -w(j) - 6*z(j). Differentiate m(a) wrt a.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -51423*k - 3*i + 17 = -51424*k + i, i = -k - 11 - 1 for k.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6631.\nAnswer: 19, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/17, -3\/5, 0.06, -2533.\nAnswer: -2533, -3\/5, -2\/17, 0.06","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = s + 14. Let x be b(-11). Suppose -x*o = 2*o + 3*i + 5, -4*o + 2*i + 18 = 0. Factor -11*k**2 + o*k**2 + 5*k**3 + 12 + k**3 - 3*k**3.\nAnswer: 3*(k - 2)**2*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from cwzzwwcycwwwzwzwyw. Give prob of picking 2 w, 1 z, and 1 y.\nAnswer: 8\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Determine v, given that -3*v**2\/5 + 1107*v + 1080282\/5 = 0.\nAnswer: -178, 2023","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i be -1 + (-1 - 1)\/(73\/(-146)). Solve -22*b + 28 = -20*b - 4*k, -i*k = -b + 19 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*p + 2*o - 4*o - 8 = 0, 2*p - 3*o = 32 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: (9\/(27\/7))\/((30\/(-6))\/(-60))\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 54 divide 2365?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g*g*g**0*g)**(6\/13)*g**(-6\/5)*g*g*g**(-1)\/g*g)\/((g**(-2\/3)*g)**(3\/5))**(-11\/3) assuming g is positive.\nAnswer: g**(374\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 4\/6 - 6\/9. Suppose -2*c + 0*a = -4*a - 12, i = -2*a + 2. Does 8 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2 (base 10) to base 15\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -12.7 times -27236?\nAnswer: 345897.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is (380\/520*13)\/((-2)\/4)*1?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find o, given that -3*o**4 + 2143*o**3 + 10071*o**2 - 3595*o = 0.\nAnswer: -5, 0, 1\/3, 719","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand -5*q - q + 2*q + (-1 + 1 - 5*q)*(2 - 4 + 3).\nAnswer: -9*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (1\/(3\/1))\/(2\/12). What is the remainder when v\/1 - (-13 - 216) is divided by 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -11.4 + 16.4. Which is the closest to 1?  (a) -0.2  (b) s  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = 5*a**3 - 6*a**2 + 7*a - 12. Let u(p) = -14*p**3 + 17*p**2 - 20*p + 35. Let j(f) = 17*o(f) + 6*u(f). Let t be j(0). Sort 1\/2, t, 4.\nAnswer: 1\/2, 4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -211000 + -1?\nAnswer: -211001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 1 + 1)*(-3*b - 4*b + b)*(b - b + b) + (-5 + 0 + 4)*(-b**2 - 2 + 2).\nAnswer: 7*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 72\/8*((-237)\/(-1))\/(-3). Suppose -11 + 39 = -4*v. Does 45 divide v\/(21\/n)*1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 12 + -11.6. Let k be (-12)\/10*(-60)\/(-18). Let f be (-2 - -6)\/(k + 11). What is the third smallest value in l, -1, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 3.6 + -4. Let q = -0.5 - b. What is the closest to -1\/2 in 0.5, -0.5, q?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.129 to two decimal places.\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 39*l - 48 = 4476. What is the remainder when l is divided by 39?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = 39*y**2 - 4*y + 9. Is z(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*f**3 + 28443*f - 28442*f + f**3 as l*f**3 + b*f**2 + k + p*f and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1017828?\nAnswer: 2, 3, 7, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.2954741ml in litres?\nAnswer: 0.0002954741","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*(sqrt(2736)*2*-1 + sqrt(2736)) + sqrt(57)\/(sqrt(432)*-2)*-4)**2.\nAnswer: 1565011\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 25609202.\nAnswer: 2, 617, 20753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 136543 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {d: 2, z: 1, e: 1, y: 1, r: 1, f: 1}. Give prob of sequence der.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 92*k**3*n*t**2 - k**3*n - 2*k**2*n*t - 5*k**2*t wrt t.\nAnswer: 184*k**3*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Work out -4 + 8258.\nAnswer: 8254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -1 + 2 + (-1 - -8). Let s be -1*m*1 + 2. List the prime factors of (-22)\/s - 4\/(-12).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 z and 2 h when three letters picked without replacement from {h: 4, c: 2, l: 2, z: 3, v: 3, i: 2}?\nAnswer: 9\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:21 AM and 3:40 AM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.16 - -0.04. Let g = 0.32 + f. Let s = -1.15 + 0.95. Sort g, s, 1 in decreasing order.\nAnswer: 1, g, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 60*w**2 - 12*w**2 - 15*w**2 - w**2 - 10*w**2.\nAnswer: 22*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 213 + -212. Which is the closest to z?  (a) 4\/11  (b) -0.2  (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -103311 (base 4) to base 2.\nAnswer: -10011110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -3*2*440\/(-12). Let v = -115 + w. Calculate the highest common factor of v and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -102301313 - 30?\nAnswer: -102301343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence dsgs when four letters picked without replacement from {s: 11, g: 6, d: 1}?\nAnswer: 11\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -1481.1038 - -1479. Let z = 2.1 + j. Round z to three decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 208 or -0.8?\nAnswer: 208","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = -14*u**2. Let j(s) = -18*s. Determine j(y(k)).\nAnswer: 252*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -256, -1032, -2326, -4138, -6468, -9316, -12682?\n\"Answer: -259*s**2 + s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 388344984?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -f**2*n**2 + 12*f**2 - 3*f + 225*n**2 wrt f?\nAnswer: -2*f*n**2 + 24*f - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = -17*i**3. Let v be q(-1). Let a = v + -17. Solve a = -4*l - u + 7, -u - 6 = -3*u for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 12786 and 732.\nAnswer: 1559892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 6, f: 6, a: 7, p: 1}. Give prob of sequence fa.\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x**(9\/5)\/x)\/x*x**(-3\/25))**(46\/5) assuming x is positive.\nAnswer: x**(-368\/125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = k**2 - k. Suppose -5*d - 7 - 3 = 0. What is the units digit of f(d)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1725767 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 2807 + 5727\nAnswer: 8534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (-140)\/(-14) + 69\/1 is divided by 65?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = 8*c + 8*c**2 - 2*c - 1 - c**3 + 3*c. Let t(w) = -w**3 + w + 9. Let o be t(0). Let i be u(o). Which is smaller: i or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) be the first derivative of -4*l**5\/5 + 4*l**4 - 8*l**3 + 8*l**2 - 4*l - 1. Suppose i(k) = 0. Calculate k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h - 2 + 16 = -5*q, 4*h - 28 = 2*q. Let f(l) = -l**3 - 6*l**2 - 3*l + 4. Does 11 divide f(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 45887.\nAnswer: 45887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3040331?\nAnswer: 7, 17, 29, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 382217 = 4*y - 5*b, -3*y + 401131 = b + 114492. Suppose 4*p = -2*k + 74236, -4*p - 21312 = -4*k - y. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -87\/1286 and -67\/6.\nAnswer: 3858","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 315*b**3 - 17 + 9 + 6 + 4.\nAnswer: 315*b**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 3290584, 6581170, 9871756, 13162342, 16452928, 19743514?\nAnswer: 23034100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-1 - -11)\/(-1 - 0). Let x = n + 16. Let v = 637 - 635. What is the remainder when x is divided by v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x + 52 = -4*k, 5*k - 3*k - 52 = -4*x. Suppose 21*p - x*p = 560. Suppose 8*d - 3*d = p. Calculate the greatest common divisor of 21 and d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 20\/(-6)*24\/20. Let c be 70 - (0 + 2 + h). Suppose -177 + 41 = -17*w. Calculate the greatest common factor of c and w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = 10*z + 4. Let d = -6 - -3. Let j(g) = 19*g + 7. Let l(o) = d*j(o) + 5*h(o). What is the first derivative of l(y) wrt y?\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.3*-20031710\nAnswer: -6009513","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = v**2 - 11*v + 5. What is p(12)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 970, 31, -0.091 in decreasing order.\nAnswer: 970, 31, -0.091","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*t - w + 46075, t + 80*w = 81*w + 9221. Does 16 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 7648*t**2 + 1 + 6*t - 7647*t**2 + 2*t**3 - 7*t**3 + 3*t**4 + 0*t**4 to y + o*t**2 + i*t + m*t**4 + n*t**3 and give i.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -79 - -84. Suppose 4*m + 63 = -d, -m - 6 - 5 = p*d. Let k be (m - -11)*(-4 + 2)\/(-2). Let n(t) = t**2 + 6*t + 2. Calculate n(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -11\/2 - -6. Which is the second biggest value?  (a) g  (b) 2\/15  (c) 1  (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 21840 and 1.\nAnswer: 21840","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1136978?\nAnswer: 2, 431, 1319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = -h + 1. Let w(j) = 5*j - 17. Calculate -w(m) - 3*z(m).\nAnswer: -2*m + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = m + 6. Let o be p(0). Suppose -12 = -o*i + 2*i. Put -11, 1, -2, i in descending order.\nAnswer: i, 1, -2, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in 0.08, 0.3, 28532, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = 54*l + 1581. Calculate the remainder when 168 is divided by h(-29).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -158 + 165 - (-2 + 45) - (-5 - 8).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 2\/21  (b) 0.06  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -110 + 113. Let s(c) = 3*c**2 - 4*c**2 - 6*c + 2 + 5*c**2 - 9*c**2 - 8 + c**t. What is s(6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = w - 12 - 43. Suppose b = 6*b - w. Does 4 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6431 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 14339, 28697, 43059, 57425, 71795, 86169?\n\"Answer: 2*x**2 + 14352*x - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q - 2*y + 450 = 1382, -y = 1. Let t be (-3*(-5 + (-2972)\/8))\/6. Let u = t + q. Calculate the common denominator of u and -14\/3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 33929849 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 10 + (31 - (36 + -2)) - (24 + 2 + -3)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify u*u\/(u\/(u\/(u*u**(1\/5)*u*u)))*u\/(u**(-3\/13)*u*u) assuming u is positive.\nAnswer: u**(-128\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 68 + 1?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-2)\/(-7) - (-2)\/42. Let t = 2\/1659 - -183\/1106. What is the nearest to 1 in w, t, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 41 a factor of 451?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 240116104 and 32?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (-1)\/(-3) + 94\/(-21) and 119\/(-6) - (0 - 3)\/3.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*y + 10, 5*i - 23 = -5*y + 4*y. Suppose -i*m - 4*c + 4593 = 0, -18*m + 5*c = -16*m - 1824. List the prime factors of m.\nAnswer: 7, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 117254099 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-5 + -5 + -2)*1\/(-4). Suppose -z*b + 22 = -3*n - 2, 3*n = -4*b + 18. Does 26 divide 3\/b + 103\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ttt when three letters picked without replacement from zttt?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -997, -6833, -22649, -53431, -104165, -179837, -285433, -425939?\n\"Answer: -831*z**3 - 4*z**2 - 7*z - 155","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (436\/327)\/((-18)\/837).\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (16 - -2) + -10 - (-6 - 8).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from runlmmmrlmlnmmulr. What is prob of picking 1 n and 3 l?\nAnswer: 2\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**(-1\/9)\/(p\/(p*p\/p**(-2\/19))))**(3\/31) assuming p is positive.\nAnswer: p**(170\/1767)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-22)\/((-330)\/(-3)))\/((-1)\/(-4)).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 74482386 divided by 12413731.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 981\/(-36)*(0 - 4). Suppose -j = -14*z + 87. Solve 6 - z = -2*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of 22100940?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 556 and 1174828?\nAnswer: 556","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = -2. Suppose -5*z - 4*k - 1 = -6, 3*z = -4*k + 3. Let r(w) = -w + 1. Calculate z*f(p) + r(p).\nAnswer: -p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 997, 1987, 2973, 3955, 4933, 5907?\nAnswer: 6877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1.08469 - -1.08469. Let o = -8 - 10. Is o at least r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve c - 47 + 46 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = 152 - 4*k - 152. Let t(m) = -11*m - 7. Let o(u) = -6*u - 4. Let z(j) = -7*o(j) + 4*t(j). Give z(g(b)).\nAnswer: 8*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 14 - (5 - -5 - 4).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1351, 3910, 8867, 17422, 30775, 50126, 76675?\nAnswer: 111622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6\/(-235)*(174\/1305)\/((-4)\/50)?\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (3*2\/55)\/((714\/(-140))\/17)?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -0.2 and -48430815135994?\nAnswer: 48430815135993.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -3494271, -6988551, -10482837, -13977129, -17471427, -20965731?\n\"Answer: -3*i**2 - 3494271*i + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 574091563 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*(sqrt(130) - (sqrt(130) + sqrt(130)*-2*6)))\/(sqrt(90) + sqrt(90)*-2*6).\nAnswer: -24*sqrt(13)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-275)\/((-5)\/(-100*1600)). Round d to the nearest one million.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -16 at least -1\/27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 70648967 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify n*n**4*n*n\/(n*n**(-3)\/n)*n*n\/(n\/(n*n**1))*n\/(n**(-2\/3)\/n) assuming n is positive.\nAnswer: n**(47\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 29 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -677 + 3047 = 10*b. What are the prime factors of b?\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2\/29 or -0.021?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:40 AM and 11:24 PM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -175 divided by 5.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 3, -0.3 in ascending order.\nAnswer: -0.3, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from hlhkchl. Give prob of picking 1 c and 3 h.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8433 is divided by 8391.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -358*j + 348*j = 0. Suppose -25*f - 195 + 3695 = j. Calculate the highest common divisor of f and 112.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 44\/5 of a litre in millilitres?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 275301691*a + 305449673 wrt a?\nAnswer: 275301691","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 273330 - 552330. What is w rounded to the nearest 10000?\nAnswer: -280000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -29 - -24. Let z = 167 + -327. Let p = -159 - z. What is the second smallest value in 0.2, p, 3, k?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0001355 to five dps.\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = b + 2. Let k(z) = -6 - 1 - 4 - 6*z. Suppose -j = -2*p + 2*j - 11, 0 = p + 4*j. Determine p*k(h) - 22*d(h).\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round 5.7491687 to 2 dps.\nAnswer: 5.75","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 365 = -22*g - 31. Let x(a) = -a**3 - 17*a**2 + 5*a - 231. Suppose -9 = -l + 3*m, -3*m - m - 20 = -4*l. What is the remainder when x(g) is divided by l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 514 minutes after 8:55 PM?\nAnswer: 5:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 61090 is divided by 12189?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 27 + -15. What is the remainder when 59 is divided by b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x = -5*f + 103, 5*f = 9*f - 4*x - 76. Let y(h) = h**2 - 26*h + 133. List the prime factors of y(f).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2036020 divided by 4.\nAnswer: -509005","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 36833826 and 108.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 47990, 95974, 143958?\nAnswer: 191942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 29196 is divided by 1619.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = 6*m**2 + 15*m + 3. Let x be a(-7). What is the third derivative of -192*r + x*r + 5*r**3 - r**2 + 6*r**3 wrt r?\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 5152?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*y + 5*y - 2*y)*(0 - y + 0) - y**2 - y**2 + 5*y**2 + (2 - 1 + 0)*(-y**2 + 2*y**2 - 2*y**2) + (-2*y - 2 + 2)*(y - y - y).\nAnswer: 5*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = -c**3 - 12*c**2 + 13*c + 2. Let o be l(-13). Suppose 0 = 3*d + 4*a - 1195, 2*d + 4*a = -o*d + 1596. Is 12 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -5  (b) 19599  (c) 0.91\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = -4*m + 2*m + 2 + m + 3. Let o(l) = -l + 4. Let u(i) = -4*o(i) + 3*q(i). What is the derivative of u(h) wrt h?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = -44*b + 6. Let s(f) = -110*f**2. Give n(s(a)).\nAnswer: 4840*a**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -284*c**2 + 108 - 34 - 43 - 31.\nAnswer: -284*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:16 AM and 2:41 PM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is (24 - 10) + -1 + -6?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 31284743?\nAnswer: 7, 17, 262897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k - 71 = -77. Suppose 2*o - 36 = 5*u, o + k*u - 7 = -u. Suppose 4*p = 3*x + 10, 0 = 5*x - o + 3. Put p, 1\/4, -2 in increasing order.\nAnswer: -2, 1\/4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 280 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (3\/2)\/(2\/4). Let u(t) = t + 2. Let j be u(3). Suppose 5*b - 129 = 2*b + v*r, -j*b = -r - 211. Is 14 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.78 and -17?\nAnswer: -13.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in six fifths of a decade?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 4275.6 - 5189. What is f rounded to the nearest 10?\nAnswer: -910","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p = 5*y - 10*y - 20, 3*p = 5*y + 15. What is the second derivative of -26*t**5 + 4*t**5 - 17*t**p + 9*t + 9*t wrt t?\nAnswer: -780*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.5 and -72686289.\nAnswer: -36343144.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 0.79, 8, -47?\nAnswer: 0.79","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-10)\/(-3)*192\/80*(-7)\/2?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 83 + -43. Suppose 0 = 3*f - 5*j - x, -2*f = -0*f - 3*j - 26. Let k = f - 5. Calculate the remainder when 14 is divided by k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -5 - -7b5a291?\nAnswer: 7b5a289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -281, -270, -245, -200, -129?\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, 3, 82 in decreasing order.\nAnswer: 82, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 159, 298, 441, 594, 763, 954, 1173, 1426?\nAnswer: 1719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -230611 + -3013?\nAnswer: -233624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 77 minutes before 5:37 AM?\nAnswer: 4:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 25*w + 113 = -37 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -47*c + 92 - 47 - 2*c**2 + 79*c**3 - 50 + 46*c to the form k*c + a*c**3 + h*c**2 + p and give a.\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 48 - 37. Calculate the smallest common multiple of 8 + (2\/(-2))\/(-1) and m.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14\/(-35) - (-356114)\/10 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 dddggdggdggggdgdggg. What is prob of sequence dgd?\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 17358059 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round 36220 to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -55 - 32155*f + 55.\nAnswer: -32155*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6 - 5 + 3)*(-4*x + 2*x + 3*x + (-5 + 0 + 3)*(-x + 2*x + 0*x)).\nAnswer: 8*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 27.6961995 rounded to three decimal places?\nAnswer: 27.696","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2*f**2 - 4546*f - 73.\nAnswer: -4*f - 4546","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = -r, 0*r = q + 5*r - 9. Let o be 3*(q + 1)\/(-5). Suppose -2*k - 6404 = -5*b + o*b, 10 = -5*k. What is b rounded to the nearest 1000?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 630 minutes before 11:38 PM?\nAnswer: 1:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = -2*v**2 + 2*v + 3. Let y be l(-4). Let d = -21 - y. Is 16 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 646 minutes before 7:09 PM?\nAnswer: 8:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert -10111021 (base 3) to base 5.\nAnswer: -40140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -23b4303 + 3?\nAnswer: -23b4300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1134 and 54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = -758*t**2 - 23*t + 20. Let n(g) = 253*g**2 + 8*g - 7. Determine 6*l(v) + 17*n(v).\nAnswer: -247*v**2 - 2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = 2 + 5137*d + 2 - 5135*d. Determine m(-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-21)\/133*2\/(-3)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 41105916?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -3  (b) 0.4  (c) -5  (d) -5\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = -35*d - 2. Let t be u(1). Let b = -2 - t. What is the remainder when b is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 305581 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 122 and 12.\nAnswer: 732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 112 (base 3) to base 4\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 217 + -638. Let n = l + 2950\/7. Which is the smallest value?  (a) n  (b) -1  (c) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -g - 2*n - 23 = -8, -5*n + 12 = -3*g for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = p**2 - 6*p + 5. Suppose 11*j - 6*j = 25. Let x be q(j). Solve 3*f + 3*y + y + 28 = 0, x = -5*f - y - 24 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m**5 + 3*m**4 + 2*m**3 = 0. What is m?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 4864802.1 rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = -11*t**2 - 257*t + 1056. What is j(-27)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*a = 0, 53*a - 29*a + 35 = -5*x + 27*a for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (153\/1071)\/(9\/18).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = -l**2. Let b(g) be the third derivative of -5*g**4\/24 + 2*g**2. Calculate b(x(s)).\nAnswer: 5*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1946741 is divided by 936.\nAnswer: 797","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*k - 2*r - 81 = -69, -6 = 3*k + 3*r for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) be the third derivative of -2*x**7\/105 - 37*x**6\/40 - 733*x**3\/2 + 99*x**2 + 6. Differentiate a(b) with respect to b.\nAnswer: -16*b**3 - 333*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from {c: 1, k: 5, n: 1, u: 1, i: 1}.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 25\/119 - 6\/17. Let n be (-206)\/(-14) + 20\/70. Suppose -1 = -4*p + n. What is the biggest value in -2\/7, p, q?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y - 3*p + 3 = -p, -3*y = 4*p + 19. Let b be 1 - -115 - (5 + y). Suppose 4*i + z - b = -i, 76 = 3*i - z. Is i a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 12615 (base 9) to base 3.\nAnswer: 102200112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor -r**2 - 60751*r + 1945056.\nAnswer: -(r - 32)*(r + 60783)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is -136826 less than 925?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 94.1 - 19.6. Let o = x + 4.5. Let u = 78 - o. What is the smallest value in 3, u, 1, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 625 minutes after 6:02 AM?\nAnswer: 4:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 145130447?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1544 and 48817999?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 609 minutes after 3:51 PM?\nAnswer: 2:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 547670 and -70.\nAnswer: -38336900","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1.5 - -2. Let j = -1.7 + 1.5. Let b = 0.6 + j. What is the smallest value in r, -2, b?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = 4*a - 2*a - 4 + 0 + a. Let k(r) = 5*r - 11. Let y(j) = -j - 1. Let g be 0 + (1 - (0 + -1)). Let b(s) = g*y(s) - k(s). Give -4*b(o) - 9*i(o).\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify j*j**(-6\/7)*j\/(j\/(j\/(j**14*j))) assuming j is positive.\nAnswer: j**(-97\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 134 - 786*l**2 - 134 + 161*l**2 + 273*l**2.\nAnswer: -352*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -71\/61062 and -119\/18?\nAnswer: 183186","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 169571073.9999684 + -169571176. Let v = g - -102. Round v to 6 dps.\nAnswer: -0.000032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 320*z**3 - 136*z**3 + 114*z**3.\nAnswer: 298*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -17611, -35154, -52697, -70240, -87783, -105326?\nAnswer: -122869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -470 divided by -2806?\nAnswer: 235\/1403","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express 11*r - 5*r + 40 + 0 - 8*r as q*r + k and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 4 + 74. Is t a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 29514986 a multiple of 643?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 37639849?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 378 - 379. Is w less than -7\/12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-12*o - 4*o - 3 + 20*o)*(3*o**3 - 4*o**3 + 5*o**3) + (-2*o - 2*o - o)*(2*o**2 - 2*o**2 + 3*o**3).\nAnswer: o**4 - 12*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = -2*k**2 - 4*k + 3. What is h(-3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 9716.\nAnswer: 2, 7, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d - 3*i = -189, -5*d - i + 494 = 159. Let m = d - -327. List the prime factors of m.\nAnswer: 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) be the first derivative of -n**3\/3 + n**2 + 1. Let k(i) be the first derivative of -i**2\/2 + 33. What is -2*k(s) - p(s)?\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 3334108.99 rounded to the nearest 100000?\nAnswer: 3300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 17 divided by 12?\nAnswer: 17\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1402, 2735, 4068, 5401, 6734?\nAnswer: 8067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -6892, -14115, -21228, -28177, -34908, -41367?\n\"Answer: 9*g**3 + g**2 - 7289*g + 387","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve r = 2*m, 5*m = 4*r + 5 + 1 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-537)\/(-716))\/(82\/(-72) + 1)?\nAnswer: -27\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = 3*w - 4*w - 2 - 7*w. Let v(s) be the third derivative of 1\/3*s**3 + 7\/24*s**4 + 32*s**2 + 0 + 0*s. Determine 7*v(a) + 6*y(a).\nAnswer: a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-12)\/9)\/((-169)\/(-1014)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 20360 to the nearest 100.\nAnswer: 20400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 155 and 27807?\nAnswer: 139035","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*((sqrt(539) - -2*sqrt(539))*-1 - -2*(4 + sqrt(539))).\nAnswer: -35*sqrt(11) + 40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = 2*i + 2. Let t be v(0). Find the first derivative of -y**2 + 0 - 2 - t + 2 wrt y.\nAnswer: -2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 n and 1 z when three letters picked without replacement from unzznzzknzznzkz?\nAnswer: 48\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert -332 (base 4) to base 10.\nAnswer: -62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (0 - 11) + (-20 - -8 - -11) + 0?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*a - v + 4 - 37, a - 6*v + 10 = 0 for a.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.3388303 rounded to 1 dp?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13*n - 16*n + 28*k = 10*k + 972, -n - 162 = -3*k for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/55 in -3\/8, -4, 0.1, 0.05, 0.28?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9*f + 0 + 9*f - 13*f**2 - 56*f**2 + 1.\nAnswer: -69*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*r**2 + 0*r**2 + 0*r**2)*(r**3 - 2*r**3 + 2*r**3) + (-r**3 + 4*r**3 + 0*r**3)*(r**2 + r**2 - 4*r**2).\nAnswer: -10*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 2 + 2*p**2)*(-2*p**2 + 4*p**2 - 4*p**2 + (-6 + 6 - 4*p)*(5*p - 3*p + p)).\nAnswer: -28*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 528 is divided by 173?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 793*z**6 - 691*z**2.\nAnswer: 95160*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence cs when two letters picked without replacement from {y: 3, u: 2, a: 4, s: 8, c: 2, t: 1}?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 17402 - 425. Is i 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 66958?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 19442505 to the nearest integer?\nAnswer: 269","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 1, d: 5, m: 2, t: 1, q: 1}. Give prob of picking 1 t and 1 q.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = 1 - s**2 + 3*s**2 - 2*s - 4*s**2. Let o be p(1). Let h(f) = 2*f + 4. Let r(t) = 3*t + 5. Let y(j) = 7*h(j) - 5*r(j). What is y(o)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (44*l**2 - 115 + 115)*((-3 - 1 + 3)*(-2 - 8 + 2) - 5 + 3 + 3).\nAnswer: 396*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 1\/(-2 + (-105)\/(-50)). Suppose -21 = -y*g - 81. What is the hundreds digit of g*(-1 + (-21)\/1 + -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.1096275801 to 3 dps.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide 4\/6 + 399\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -8*r + 5*r + 576. Suppose r = 6*p - 0*p. What is the remainder when 94 is divided by p?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = 5*u - 21. Suppose -j - 5*i = -168, -u*j - i = i - 725. Suppose -3*n - 3*a + j = a, 3*n - 118 = a. What is the remainder when n is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 112236?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t*t**(2\/7))\/((t*t\/(t\/t**1)*t)\/t)*(t*t\/(t\/t**(-1)))**(-7)*t\/(t*t**(5\/3))*t*t**(-5)*((t**(-2)\/t)\/t)\/(t*t*t**(-3)\/t*t*t) assuming t is positive.\nAnswer: t**(-218\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 124824 and 840.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/1974?  (a) -1\/5  (b) 4  (c) 3  (d) 0.2  (e) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 1717 + -1716. Sort 14, 7, a.\nAnswer: a, 7, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = 8*s - 3. Let w(n) = 12*n - 4. Let m(v) = -4*u(v) + 3*w(v). Let y(i) = 22*i - 1. Determine y(m(t)).\nAnswer: 88*t - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -12 + 11 + (3 - 7).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 722634 is divided by 21898.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*n - v = -13, -4*n - 4*v = n + 16 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 82638.23 micrograms in milligrams?\nAnswer: 82.63823","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {k: 6, p: 1, c: 4, l: 3, n: 2, s: 2}. Give prob of picking 3 c and 1 s.\nAnswer: 2\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -51 + 24 + 28 + 983*k**3 - 861*k**3.\nAnswer: 122*k**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-6 - 1 + 3)*(-2*w**2 - 4*w**2 + w**2) + (6*w - 5*w + 0*w)*(-1 + 1 - 2*w))*(-2*w - w + 6*w).\nAnswer: 54*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 500 and 1375?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 2\/191, -6\/11, -89?\nAnswer: -89","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 51146 + -36460. What is the remainder when p is divided by 249?\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q + 4 - 3 = u, -4*q - 20 = -2*u. Solve 0 = u*a + 4 + 16 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = p**2. Let c be o(2). Suppose -4*r + 3*j + 31 = 0, -2*j - 17 = -c*r + 9. Suppose r*a - 6 - 18 = 0. Calculate the remainder when 9 is divided by a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (f**2 - 4*f**2 + 2*f**2)*(0*f**2 + 5*f**2 - 3*f**2) + 15*f**4 - 13*f**4 + 8*f**4.\nAnswer: 8*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express (33*k - 3*k + 12*k)*(-1 + 2 + 1 + (1 - 1 + 2)*(-1 - 2 + 2) + 2 + 0 - 1) + 0*k + k + 0*k + 0*k + 0*k - 2*k in the form t*k + z and give t.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-19)\/(-5) - (-3)\/15. Suppose -2*z + 12 = y*w - 5*z, 4 = -z. Suppose w + 6 = b. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 41\/2 of a tonne?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = -30*v**3 + 28*v**2 - v - 620. Let j(s) = 47*s**3 - 41*s**2 + s + 929. Let d(k) = 7*j(k) + 11*r(k). Determine d(20).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = 2*y**3 - 2*y**2 + y + 3. What is w(4)?\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -7 + 9 + 8 + -74 - (8 + (8 - 5))?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 149 + -61. Calculate the remainder when q is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 22696233 to the nearest one hundred thousand.\nAnswer: 22700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 59684125?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = -114*v - 7752. Let c be w(-68). Let s(b) be the first derivative of c*b**2 + 1\/3*b**3 + 0*b + 8 + 7\/4*b**4. Determine s(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6 + -6 - 6 - (-13 - -2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) be the first derivative of 5*q**3 + 57*q**2\/2 - 12*q + 581. Factor y(b).\nAnswer: 3*(b + 4)*(5*b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000016624918 rounded to 6 decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1.9 + 0.14. Let l = 1.3 + x. Let n = 0.4600092 + l. What is n rounded to six decimal places?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4246030 divided by 46\nAnswer: 92305","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ae when two letters picked without replacement from {a: 2, m: 4, e: 5}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = 22*j + 34. Is 12 a factor of l(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) be the third derivative of -x**5\/30 - 5*x**4\/24 - x**3\/2 - 3*x**2. Let a be q(-3). What is the units digit of (-2*3)\/(a\/4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.61 and -201?\nAnswer: -122.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many kilometers are there in 988.8107 millimeters?\nAnswer: 0.0009888107","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 237 is divided by 131?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**14\/k**1)\/((k*k**4)\/k*k**(-19)) assuming k is positive.\nAnswer: k**28","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -217, -190, -163?\n\"Answer: 27*r - 244","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 - 3 - 63*p + 13*p.\nAnswer: -50*p - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = -3*t - 2*t + t**2 + 5 - 4*t - 2*t**2. What is the units digit of x(-9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d - d = -15. Solve -2*g - 3*n = -9, -3*g - d*n = 2*g - 15 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*h - 51*h**2 + 2*h + 47*h**2.\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = 56*t**2 - 5691*t - 2123. Calculate w(102).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16203750 = 100*g + 16209550 for g.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express ((-4 - 4 - 3)*(4*h - 9 + 9) - 2*h + 2*h + 2*h)*(1 - 2 + 2 + (1 - 3 + 1)*(4 - 3 - 2) + 4 - 1 - 2 - 5 + 4 + 3 + 1 + 0 - 2) in the form x*h + c and give x.\nAnswer: -168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 39567310 to the nearest integer?\nAnswer: 6290","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 529460 and 89778.\nAnswer: 20648940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = -t + 1. Let u(d) = -2*d**2 + d + 3. Suppose -2 - 13 = -5*y. Calculate y*q(k) - u(k).\nAnswer: 2*k**2 - 4*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 3013 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 26834.\nAnswer: 2, 13417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = -6*u + 31. Suppose 530 = 4*s + u*f - 10*f, 5*s - 656 = 3*f. Does 15 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*b + b + 792 = 0. Calculate the greatest common factor of b and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -3*112\/273*(-16)\/(960\/45)?\nAnswer: 12\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l - 2*t = -226, l + t = 97 - 43. Let q be (0 - 3\/2)*-40. Which is smaller: q or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -54, -137, -272, -465, -722, -1049?\nAnswer: -1452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -2 - -b8b?\nAnswer: b89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 20*z + 22*z + 2337 = -15*z for z.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1316 = -8*a + 31*a + 35*a - 11*a for a.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*m**3 + 3*m**3 - 2*m**3)*(-2*m**2 + 3*m**2 + 0*m**2) + (2*m**3 - m**3 - 2*m**3)*(2 - 2 - m**2) + 3*m**5 - 5*m**5 + 4*m**5.\nAnswer: 4*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort 27, -3735341, 5 in increasing order.\nAnswer: -3735341, 5, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-8)\/6 + (140\/12)\/(-7). Let v be -2 - (12\/w + 1) - 0. Calculate the common denominator of 67\/28 and (2 - 5)\/(v\/((-87)\/(-6))).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1\/(-6) + 55\/(-462).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 31 - 43. Let o = 0.1 + -0.13. Let r = -0.03 - o. Which is greater: r or t?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((1 - 0) + 3)\/(-8 - -9). Let d = 10.2 + -15. Let a = d - -5. Sort p, a, 2 in descending order.\nAnswer: p, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = o**2 - o. Let g(p) = p - 2. Let x be g(-2). Let q be k(x). List the prime factors of (60\/(-50))\/((-3)\/q).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = u**2 - 3*u - 7. Let m be n(5). Find the second derivative of -s + 2*s - m*s**3 - 2*s wrt s.\nAnswer: -18*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 - (1 - -4) - -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10*h**4\/11 - 798*h**3\/11 - 9034*h**2\/11 - 22890*h\/11 + 32732\/11 = 0.\nAnswer: -334\/5, -7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -13 - 221?\nAnswer: -300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -5349 - -5347.7. Sort b, -2.3, -0.4, 0.4 in ascending order.\nAnswer: -2.3, b, -0.4, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -305*k + 5*s = -303*k - 24, -2*k + s + 16 = 0 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 57\/216046 and 79\/10.\nAnswer: 1080230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*u + 1 = 24*x - 26*x, -2*u - 5*x - 13 = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 524\/76 + 12\/114?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 19*a = 16*a + 12 - 48 for a.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(21)\/sqrt(7)*1*3)**2.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round -52.3 to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 60915 and 33.\nAnswer: 670065","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.2, -5400, -10, 7, -3, 3\/8 in increasing order.\nAnswer: -5400, -10, -3, -0.2, 3\/8, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 18841\/2 + -28280293\/3002. Find the common denominator of z and -83\/38.\nAnswer: 3002","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p + 2*p = 4*v - 21, 5*v = 4*p. Suppose -v*q + 27 = -d - 7, d + 2 = 0. Suppose y - 4*f = 105, y - q*f = -6*f + 105. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 1010\/75*6\/16 and 13\/14.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -10 (base 12) to base 11\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 20 and 380?\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 8656304 - -1?\nAnswer: 8656305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 57612?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Product of 4007 and -0.734.\nAnswer: -2941.138","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 77 minutes before 7:34 AM?\nAnswer: 6:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Add together 285190072 and 56.8.\nAnswer: 285190128.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -11 + -112210?\nAnswer: -112221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = n + 1. Let q(i) = 2*i + 1. Let o(d) = d**2 + 4*d + 2 - 1 - 2. Let k be o(-2). Let m(r) = k*x(r) + 3*q(r). Determine m(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 22190071.\nAnswer: 379, 58549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = -i**3 - 21*i**2 - 16*i + 499. Let x be y(-19). What is the highest common divisor of x and 162?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 80 is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 + 26 + (-54 - -20)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 14563.1736 to the nearest one thousand.\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 97, 805, 2727, 6469, 12637?\n\"Answer: 101*c**3 + c**2 - 2*c - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 6\/25 of a litre?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in three fifths of a meter?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) be the third derivative of 5*g**8\/84 + 73*g**7\/105 + 41*g**6\/30 - 148*g**5\/15 - 104*g**4\/3 - 128*g**3\/3 + 9312*g**2. Solve y(t) = 0.\nAnswer: -4, -4\/5, -1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*f - 0*f - 12. Suppose f*t + 6 = -18. Let z(h) = h**2 + 5*h + 1. List the prime factors of z(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 170, 364, 558?\nAnswer: 752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-20)\/70 - (-9)\/7. Which is the closest to -2?  (a) 4  (b) i  (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 3 + -4. Let p(h) = -4*h - 1. Let j be p(k). Suppose 0 = -u - x + 13, -j*x - 21 = 2*u - 4*u. Does 12 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -93 take away -226?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 9221 is divided by 137?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) -20  (b) 3  (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 813317.14 rounded to the nearest 100000?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 87793.1 + 150338.\nAnswer: 238131.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from gggr. What is prob of sequence gr?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 27 - 29. Let s = 0.33 + -4.33. Sort -0.3, j, -0.4, s.\nAnswer: s, j, -0.4, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 22\/((-770)\/665) - 2816\/(-144)?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 101001010011 (base 2) in base 12?\nAnswer: 1643","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put -21, -29, 0 in ascending order.\nAnswer: -29, -21, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is -14\/1291 at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 62 - -138. Let f = m + -198.67. Round f to 1 dp.\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -5 + 5. Suppose b*w = -3*w. Sort 1, -2, 5, w in descending order.\nAnswer: 5, 1, w, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0.23 - 0.33. Is 2\/45 greater than or equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = -n**2 - n + 3. Let m be s(-4). Let u = -7 - m. Solve 0 = 4*k - 4*l + u*l - 8, 4*l = -3*k + 28 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -3351 - -9289. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor g**5\/7 + g**4 - 18*g**3\/7.\nAnswer: g**3*(g - 2)*(g + 9)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 47900887159 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -64, -142, -232, -340, -472?\nAnswer: -634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1851 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 + -4 + (10 - (4 + 0))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ffjhjfjh. What is prob of picking 1 f and 1 j?\nAnswer: 9\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = -5*x + 400. Let i(o) = -15*o + 1186. Calculate -8*d(k) + 3*i(k).\nAnswer: -5*k + 358","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 633 - 624. Let y(m) be the first derivative of -m**2\/2 + 6*m - 1. Give y(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -266, -267, -268, -269, -270, -271?\n\"Answer: -i - 265","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 515.3 + -515. Let l = 27 - 8. Let w = l + -18. Which is the third smallest value?  (a) u  (b) w  (c) -4  (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from pfppff. Give prob of picking 2 p.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -5, 160, 5, -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 3798.467247 - -4034904403.532753. Let d = i - 4034908226.00000017. Let o = -24 - d. What is o rounded to seven dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -242540 divided by 12127.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 21.31998 months?\nAnswer: 0.01776665","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (160067\/(-12) - 0) + 1. Let h = w - -13348. Find the common denominator of h and -55\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 640 + 252. Suppose 2*o = -2*o + w. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -15 + 56*q - 62 - 17 + 104 - 10.\nAnswer: 56*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = w**2 - 14*w + 14. Let i be g(13). Let b = -2 - i. Which is greater: -2 or b?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.48 - -0.02. Let i = -0.03 - -2.03. Sort h, i, -0.1.\nAnswer: -0.1, h, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = 4*k**2 + k. Let s be y(-1). Suppose 0 = 3*h + 2*h + l - 924, s*h + l = 554. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -1567, -1572, -1555, -1510, -1431, -1312?\n\"Answer: v**3 + 5*v**2 - 27*v - 1546","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = -s**3 + 4*s**2 - 5*s + 7. Let j be z(2). Suppose 3*k - 70 = -j*q - 0*q, -q + 27 = -2*k. What is the remainder when 78 is divided by q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -3935440664698680 + 3935440263680689.9999989. Let m = 401017959 + l. Let d = -31 - m. What is d rounded to 7 dps?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2333 is divided by 966.\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = 6*j**2 - j + 1. Let k be i(1). Suppose 80 = n + 2*g, n - 80 = -0*n - 4*g. Let l = n - 80. Solve 2*b + k = -l for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -58 - -83. List the prime factors of c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = 4394*n**2 + 46*n - 463. Is x(15) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 4\/7  (b) 5\/3  (c) 54  (d) 244\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Determine c, given that -c**2 + 2*c + 440 = 0.\nAnswer: -20, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 5, -1, 30296 in descending order.\nAnswer: 30296, 5, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 236737492 a multiple of 76?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o + 2 = 8. Let h(x) = 7*x - o*x - 8*x. Let r(p) = 2*p**2 - p**2 - 3*p**2 + 0*p**2. Give h(r(g)).\nAnswer: 6*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 86471602?\nAnswer: 2, 7, 1093, 5651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*s**3 + 16645*s**2.\nAnswer: -5*s**2*(s - 3329)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = o**3 + 12*o**2 + 13*o + 12. Let x be j(-9). Let u be ((-173)\/(-3))\/(10\/24). Let n = u - x. Is n less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -0.0293 and 204.\nAnswer: 203.9707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 1056.866 hours?\nAnswer: 63411.96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor -36502\/5*w**2 + 44368\/3*w - 188\/3*w**3 - 2\/15*w**4 - 111392\/15.\nAnswer: -2*(w - 1)**2*(w + 236)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 141 - 132. Suppose 0 = -20*x + l*x + 176. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*v**3 - 3*v**2 + 3 + v - 3*v**3 + v - 4*v**4 + 4*v**2 - 3*v**2 in the form a*v**3 + c*v**4 + r + k*v**2 + u*v and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = 9*u**2 + 1 - 2*u**3 + 1 - 6. Let b(o) be the second derivative of o**5\/20 - o**4\/3 + o**2 + 14*o. Determine 5*b(y) + 2*i(y).\nAnswer: y**3 - 2*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 95 + -89. Solve -m - 5*a - 18 = 0, m + 4*a + g = 2*a for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 0.3, -3\/5, -1\/5, 107, -0.1?\nAnswer: 107","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 107436?\nAnswer: 2, 3, 7, 1279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = -2*r**2. Let y = 2 - -1. Let w be -1 + 0 - (-3 - -2). Let g(t) = w*t - 2*t + y*t. Calculate g(m(p)).\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -7 + -c?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 34768828 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((3*x + 0*x - 2*x + 2)*(-3 + 2 - 1) - 5*x + 0*x + 2*x)*((7*x - 13*x + x)*(1 - 1 + 1) - 3*x + 0*x + 0*x).\nAnswer: 40*x**2 + 32*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 8 and 23369.\nAnswer: 186952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 997\/2 at most as big as 498?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 1120385*l**2 - 2036115 wrt l?\nAnswer: 2240770*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = z**3 - 11*z**2 + 3*z - 28. Let w be c(11). Factor 0 + 0*r**2 - 1\/3*r**3 + 0*r**4 + 1\/6*r + 1\/6*r**w.\nAnswer: r*(r - 1)**2*(r + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = j**2 - 20. Let g be d(6). Calculate the highest common divisor of 32 and g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -8 + 13. Suppose -j + 20 = z*u, -5*j + 27 = 4*u - 10. Is u a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 8254 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (72\/260)\/((-12)\/(-100)). Which is the nearest to t?  (a) -3  (b) 4  (c) -0.4  (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 != 180?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 1300\/(-125) - (-2)\/5. Let p = -355 + 235. Let n be 2\/(-4) + p\/16. Which is smaller: z or n?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 171 a factor of 4859383?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"}
{"text":"Question: Let f be -1 - ((-10)\/(-5))\/1. Is (-151 + -3)*-1 - f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) be the first derivative of -i**4\/4 - 9*i**3 + 14*i**2 + 37*i - 344. Suppose 3*n - 8*n = -100. Calculate the remainder when r(-28) is divided by n.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h = -0*h - 14. Let x = 85 + -8. What is the greatest common divisor of x and h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f**(-1)*f)**(4\/31)*(f*f*f**(-2))**42)**22 assuming f is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 5386997867 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1 + 7. Let r = v + -14. Let c = r - -5.5. What is the third smallest value in 1\/3, 0, c?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:00 AM and 5:43 PM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 20 and 37858048.\nAnswer: 189290240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*(sqrt(12) + sqrt(12) + 2*sqrt(300) - 2*sqrt(192)))\/(4*(sqrt(726) + -2*(sqrt(726) - 2*sqrt(726)))) + -2.\nAnswer: -2 + sqrt(2)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -13 - -8. Let f = 35 - 35.47. Let g = -0.53 + f. What is the second smallest value in -0.5, g, a?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 12*x**4 + 21*x**4 - 25*x**4 + (2*x**2 + x**2 - x**2)*(5*x**2 - 2*x**2 - x**2) + (3*x**3 - 2*x**3 - 6*x**3)*(3*x + x - 2*x).\nAnswer: 2*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s + 14 = 5*s. Suppose 0 = -s*n + 14 - 6. Solve 6*u = 5*c + u, 0 = n*c + 4*u - 24 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = -z**2 - 6*z - 3. Let b be o(-4). Let d be 0\/(1\/1 + -3). Let t(j) = -j + 14. Let y be t(9). Solve b*n + d = -y*k + 15, 2*n = 4*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m*m*m**(2\/3))**(3\/10)*m*m\/(m**(-7)\/m)*m*m**(-1\/11)*(m**(2\/25)*m**(-1\/6))**25 assuming m is positive.\nAnswer: m**(3149\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -39\/4 + 10. Let m = -161 + 157. What is the third biggest value in m, h, -2\/185?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*r**3 - 18*r - 63*r**2 + 18*r.\nAnswer: 3*r**3 - 63*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 p and 1 w when three letters picked without replacement from {w: 2, q: 2, p: 5, x: 8}?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = -p**2 + 5*p - 4. Let i be h(4). Solve 2*o + 6 = -i*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -13 + 25. Suppose -k - d = -14. Put 1, -3, k, -5 in ascending order.\nAnswer: -5, -3, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/10 in 2\/17, 0.1, 1\/4, 24, 0?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 382 and 32?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p**5 + 36*p**4 + 150*p**3 + 252*p**2 + 135*p = 0. Calculate p.\nAnswer: -5, -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1029 + -1028.9. Let n = -4.7 + -0.3. Let r = n - -5.5. Which is the third biggest value?  (a) 2\/9  (b) r  (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:07 PM and 7:21 PM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -20 - (-23 - -14) - -3\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1372 and 74161402?\nAnswer: 686","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*b**4 + 19930*b**3 - 11767305*b**2 - 16129229420*b - 3274783892180 = 0.\nAnswer: -346, 2339","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 480.1976m in micrometers?\nAnswer: 480197600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 7 and 13684.\nAnswer: 95788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = 2*o**2 + 67*o - 133. Let l be i(2). Solve 11*w - l*w = 10 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) be the first derivative of -2841*d**5\/5 + 2090*d**3\/3 + 2054. What is the third derivative of w(n) wrt n?\nAnswer: -68184*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1719 + -1719. Which is smaller: l or 96\/373?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -3*j*u**3 + 115*j*u**2 + 36*u**3 + 3*u**2 wrt u.\nAnswer: -18*j + 216","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -168061\/115360 - 1\/3296. Find the common denominator of 54\/(-486) + (-923)\/(-450) and o.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 102 and 11.\nAnswer: 1122","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -64913 = -112*u + 1083692 - 281837. List the prime factors of u.\nAnswer: 71, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) be the second derivative of -z**4\/6 + 202*z**2 - 3055*z. Let u(b) = -2*b**2. Calculate h(u(j)).\nAnswer: -8*j**4 + 404","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = v**3 - 16*v**2 + 29*v - 1. Let l be u(14). Put l, 3, -4 in descending order.\nAnswer: l, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*m + 75 - 66 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g - 4 = 2, 2*g = -2*f + 10. Which is smaller: f or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2502.988 milliseconds in microseconds?\nAnswer: 2502988","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 100, -89, -45 in descending order.\nAnswer: 100, -45, -89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = -10*a. Let l(d) = -676*d. Determine l(x(c)).\nAnswer: 6760*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, -5, 0, 5, -19 in increasing order.\nAnswer: -19, -5, 0, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t - 3*p - 3 = 0, -t - 6*p = -p + 17. Suppose -t*y + s = 0, s - 2*s = 3*y. Suppose 2*b + 2*b = y. Solve 3*l + 5 + 7 = b for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -91344153578 take away -0.52?\nAnswer: -91344153577.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 142 - 137. Solve t = -9*q + 4*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 431*h = 432*h - 8. What is the second derivative of -7*z + 20*z - z + 3*z - 2*z**3 + h*z**2 wrt z?\nAnswer: -12*z + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-8)\/(-32) + (2\/(-28) - (-84)\/(-112)).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = -11*l - 22. Let o be m(-6). Suppose -f + 1 = 12. Let n = o + f. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*l - 3*l + 2*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = -w**3 + 6*w**2 + 7*w - 38. Let y be a(3). Let o be 7 + -1*(-5 + y). Solve 4*g = -o*j + g - 14, 4*g + 20 = -3*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -983\/2 - -443. Suppose -5*t + 49 = -4*n + 10, -2*n - 5*t = -3. Find the common denominator of n\/(-15)*(-40)\/(-22) and f.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = 4*j**2 + 13*j + 30. List the prime factors of d(-13).\nAnswer: 3, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 10 - 14. Let j = 2 + h. Suppose 0 = 3*m - 0 + 12. Put m, 3, j in ascending order.\nAnswer: m, j, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9285441707 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = -13 + 0*n + 5*n - 3*n + 24 - 12. Let r(c) = -c. Determine a(h) + 3*r(h).\nAnswer: -h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -4873?  (a) -42  (b) -0.01  (c) 0.7  (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 191 equal to 2\/241?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-4)\/(-2))\/((2*2\/(-45))\/(12\/(-30)))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: (-2 + -1)\/(7 - 6)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {n: 9, u: 2, z: 7}. Give prob of sequence zun.\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 242 and 1826.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 894546 and 150?\nAnswer: 22363650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (4 + 2)*2\/4. Suppose 0 = -p*j + 2*j + 26. Suppose 3*u + u = -2*a + j, 2*u - 10 = 0. Solve a = -g + 4*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -396*l**2*z + 41*l*p*z + 60*l*p + 2*l*z - 1658999*p*z - p - z - 1 with respect to l.\nAnswer: -792*l*z + 41*p*z + 60*p + 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*k**3\/4 + 100218*k**2 + 3347682063*k - 13392331788.\nAnswer: 3*(k - 4)*(k + 66814)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 291193\/12 - 24266. Let x(b) be the second derivative of -1\/2*b**2 - 24*b - 2\/3*b**3 + 0 + u*b**4. What is x(3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 2804 + -5611\/2. What is the nearest to l in -0.2, -1.29, -8?\nAnswer: -1.29","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -6101 + 2494. Let o = -2013 - f. List the prime factors of o.\nAnswer: 2, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = 48*d - 5. Let r be n(4). Let z = 262 - r. Calculate the highest common factor of z and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-3451 + -3)\/(4\/(-62)). Suppose -4*h + o = 7*h. Suppose -4*g + 5*r - h = 14348, -4*g - 2*r = 19194. What is g rounded to the nearest one thousand?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together 251.7 and -29448202.\nAnswer: -29447950.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1075*t - 9*t**3 - 1075*t.\nAnswer: -9*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-109)\/(-11))\/((-33856)\/506 - -67) - 16.\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 328 = 16*b - 117*b + 429 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 27\/135*20\/(-6)*6\/(-2)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (l - 1 + 1)*(2 - 4 + 1) - 35*l + l + 4*l + 4 + l - 4 to x*l + q and give x.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2201331422 (base 5) to base 16.\nAnswer: -47f074","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3200095.\nAnswer: 5, 640019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*((sqrt(144)\/(sqrt(33)\/(sqrt(55)\/sqrt(5))))**2 - 4*((sqrt(48) - (-1 + sqrt(48))**2) + 0)).\nAnswer: -732 + 144*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 + 0*f + 3*f - 5*f + 4523*f**2 + 727*f**2.\nAnswer: 5250*f**2 - 2*f + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 1322 times 1687?\nAnswer: 2230214","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -4  (b) -2  (c) 0.3  (d) -14  (e) -61  (f) -1307\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/3?  (a) 0.8  (b) -4\/7  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c = 14 + 11. Suppose -470 = -5*u - 5*y, 0*u - 82 = -u + c*y. Suppose 5*w + u = 4*x, -x + 23 = w + w. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*q**3\/7 - 248*q**2\/7 - 3760*q\/7 - 2400.\nAnswer: -4*(q + 10)**2*(q + 42)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -14444 or -101100\/7?\nAnswer: -101100\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = 13*o + 5. Let r(d) = -4*d - 3 - 3*d + 0*d. Let i(h) = -6*g(h) - 11*r(h). Let m = 3517 + -3511. Give i(m).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 24943 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -2295198*n*r - 3563216*r wrt n.\nAnswer: -2295198*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-4)\/(-3))\/((-2)\/(-3)). Let c(f) = f**3 - 2*f**2 - 15. Let p be c(4). Suppose p*o - 31 = 20. Solve -o*x - 2 = -s*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-4)\/10*(-24)\/16.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, 4, -9, 5 in ascending order.\nAnswer: -9, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0 or 3\/6631?\nAnswer: 3\/6631","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 2\/565 - -13534\/7345. Which is smaller: k or 3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 116373214?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Determine g, given that -g**5\/4 - 113*g**4\/4 + 645*g**3\/2 + 1835*g**2 - 1286*g - 6888 = 0.\nAnswer: -123, -4, -2, 2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 3.2 - 2.97. Let f = -0.07 - h. Let z be ((-150)\/(-35) - -1) + -5. Which is smaller: f or z?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 107904?\nAnswer: 2, 3, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 61\/1048 and 31\/1048.\nAnswer: 1048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 11830 a multiple of 130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -9 - -9.072. Let m = -1.928 - t. Let w = -1.999916 - m. What is w rounded to five dps?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add 0.1 and -983047.\nAnswer: -983046.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 2193 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: Evaluate (15\/(45\/(-6)))\/((-5)\/((-230)\/4)).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18 = 7*a - 88. Suppose 10 = -2*v, -v - a = -3*p + 4. Suppose -2*q - 9 = -5*t, t + p*q + 3 = 5*t. Does 2 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -14890*y**3 + 3*y**2 - 3*y + 2735?\nAnswer: -89340*y + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, -1, 10, 11, 286, -460 in descending order.\nAnswer: 286, 11, 10, 1, -1, -460","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -17.45 - -17. Let j = m + -0.05. Let h = -2.84 - -1.84. Sort h, -4, j in increasing order.\nAnswer: -4, h, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -0.2  (b) -3  (c) -2.92  (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -7013, -7038, -7073, -7112, -7149, -7178, -7193, -7188?\nAnswer: -7157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from jsajz. What is prob of sequence za?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 989 - 532. Let x = 458.255 - i. Round x to one decimal place.\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 76 (base 8) to base 6.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 786247610?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*r = 4*t + 12, 4*r = 2*t - 48 + 36. Which is the nearest to 1\/11?  (a) t  (b) 0.05  (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -70.9 - -0.32472787943\nAnswer: -70.57527212057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 222*d = 226*d + 440. Which is greater: -109 or d?\nAnswer: -109","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 z when four letters picked without replacement from {b: 3, u: 2, z: 7}?\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f = 3*m - 1491, -f = 3*f + 5*m + 6049. Let b be (-3 - (-6035)\/(-12))*-3. Let k = f + b. Calculate the common denominator of k and 89\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-4)\/28 + (-54)\/210.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 6*p*y**5 - 16*p*y**2 - 377*p*y + 503*p + 345*y**5 wrt y?\nAnswer: 120*p*y**3 - 32*p + 6900*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -36 - -22. Let r = 36 + p. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = -131*x. Let s(j) = 24*j + 52. Give s(c(p)).\nAnswer: -3144*p + 52","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-32*o + 49*o + 57*o)*(-4 - 2 + 4)*(-o**3 + 1 - 1) to the form t + i*o**2 + l*o**3 + c*o**4 + u*o and give c.\nAnswer: 148","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:37 PM and 1:47 AM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Does 7 divide 349397048?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) be the second derivative of n**5\/20 + 3*n**4\/2 + 27*n**3\/2 - 82*n. Factor h(c).\nAnswer: c*(c + 9)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -77 = 278*z - 267*z for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 b and 1 h when two letters picked without replacement from mhhmhsmhbmmbhmhmhmm.\nAnswer: 14\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 1 - -1. Let t = c - -5. Let s = 6.9 - t. Which is greater: 0.02 or s?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 21962 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -247?  (a) 12  (b) 2\/5  (c) -2\/11  (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2420696*o**4 - 2521551.\nAnswer: -9682784*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -272183025 rounded to the nearest one hundred thousand?\nAnswer: -272200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = -131*x**3 + 2*x - 1. Let v be i(1). Let s = v - -1428\/11. Let p = 5 + -4.8. Which is the closest to p?  (a) -0.5  (b) s  (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -984 by 4.\nAnswer: -246","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 0.3 times -23248\nAnswer: -6974.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 412425 and 429.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in seventeen halves of a meter?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1 + 3. Let u be (1 - h)\/(-1)*0. Is u + 7 + -2 + 2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 3.8420322 to 1 dp.\nAnswer: 3.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -11100 - 11011110000?\nAnswer: -11100001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = -4*b + 59. Let y be q(18). What is the common denominator of (y\/(-14))\/((-340)\/(-357)) and 53\/10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = 1943*q + 246. Is m(11) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 21 and -203987.\nAnswer: -4283727","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 638, 1282, 1924, 2564, 3202, 3838?\n\"Answer: -h**2 + 647*h - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1.1 + -1.25. Let r = l + -0.01. Let j = -0.14 - r. Which is smaller: j or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:55 AM and 1:16 PM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -172977\/2 + 86489. Let b = 6\/209 + 6855\/1463. Which is smaller: k or b?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = 3*l + 4. Let c(m) = -9*m - 38. Let w(q) = -19*q - 95. Let x(t) = -5*c(t) + 2*w(t). Determine n(x(i)).\nAnswer: 21*i + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*(sqrt(637) - (sqrt(637) + (4*sqrt(637) - sqrt(637)))*-3))**2.\nAnswer: 430612","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 13 in 20, -0.4, 4.4, 11, 0.04?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 2639181 to the power of 1\/3, to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = -x**3 + 18*x**2 - 40*x - 72. Let h be l(15). Which is the nearest to 0?  (a) 2\/5  (b) 14  (c) h  (d) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = z**2 - 4*z - 5. Let s be f(5). Suppose s*c + c = 0. Let k be 3\/(-6)*c\/(-3). Are k and 0 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -2263 - 19c3f?\nAnswer: -1bea2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*s + 2 = 7*s, 209*q - 210*q + 2*s - 35 = 0 for q.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -5da (base 14) to base 15\nAnswer: -532","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -48 - -143\/3. Let k be 2*((-2)\/(-5))\/(8\/70). Suppose 8*y = -k*y + 30. Which is the second biggest value?  (a) l  (b) y  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-1 - 5 + 3)*(1041*r + 91*r - 328*r + 346*r) to c + p*r and give p.\nAnswer: -3450","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) be the third derivative of -t**5\/6 - 6*t**2. Let c(q) = -51*q + 7. Let f(x) = -29*x + 4. Let u(i) = -4*c(i) + 7*f(i). Determine w(u(l)).\nAnswer: -10*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express (-10 - 3 + 5)*(-6*t + 0*t + 4*t)*(9 + 4*t**3 + 3732*t - 3732*t) in the form i*t**4 + v + f*t**3 + b*t**2 + o*t and give i.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 122983813 to the power of 1\/3, to the nearest integer?\nAnswer: 497","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 825602 and 282?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express (6 - 6 + 4*o)*(-o**2 - 2*o**2 + 0*o**2)*(o - 2*o + 3*o) in the form x*o**3 + d*o**2 + m*o**4 + z + i*o and give m.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -3425910 plus -3?\nAnswer: -3425913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -208 divided by 26?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 33 + -18. Let d(s) = s**2 + 4*s - 5. Let y be d(-6). Suppose y*k - 220 = 2*k. Calculate the remainder when k is divided by f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 379 a factor of 963239491?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0 or 2\/15299?\nAnswer: 2\/15299","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(13) - ((2 + sqrt(13))**2 + sqrt(13) - sqrt(13)))*3*6 + 3 + -4*sqrt(13)*4.\nAnswer: -303 - 70*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 162 and 10349982?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3046061101?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Work out -78 * 2.43.\nAnswer: -189.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -241 = -26*w - 163. Let l(p) be the second derivative of 6*p**2 + 1\/3*p**4 + 11*p + 8\/3*p**w + 0. Factor l(f).\nAnswer: 4*(f + 1)*(f + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = -q - 4*q + 3 + q + 0*q. Let z(w) = w**2 + 5*w - 2. Let n(o) = -2*i(o) - 3*z(o). What is the second derivative of n(c) wrt c?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, 3265, -4 in decreasing order.\nAnswer: 3265, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g\/(g**(-7)\/g*g)*g*g)\/((g**(3\/4)*g)\/g) assuming g is positive.\nAnswer: g**(37\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q = 25, -3*q + 14 = 2*p + 39. Let b = p - -440. Let u = -304 + b. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -167 - -1779. Let q(f) = 3018*f**2 + 2*f + 1. Let k be q(-1). Let z = k - w. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = -3*d**3 + 8*d**2 + 9*d - 15. Let c(s) = -s**3 - 3*s**2 + 5*s + 10. Let j be c(-3). What are the prime factors of b(j)?\nAnswer: 5, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*i + 25 = 0, 2*l + 4*i = 38 + 18. Suppose 2*z + l = 2*m + 8, -2*z - 2 = 5*m. Let w(u) = -u**2 - 11*u + 7. Determine w(z).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 18332?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w = -3*w. Suppose 2*r - 6*c + 6 = -2*c, -3*r - 4*c + 1 = w. Is r + 2 - (-69 - -1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:18 AM and 6:15 PM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -13*f + 16*f - 18. Suppose n + v = 5, f*v + 21 = 3*n + 3*v. Calculate the least common multiple of 20 and n.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*q**4 - 892654*q**3 - 99603449136*q**2 + 99604341792*q.\nAnswer: -2*q*(q - 1)*(q + 223164)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 32767?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 150 is divided by (-116 - 31)*1\/(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4011194?\nAnswer: 2, 11, 41, 4447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 32853*g**3*y**3 - 24*g**3*y**2 + 22*g**3 - 2*g**2*y**3 + 12825*g**2*y**2 - 2*g*y**3 - 3*g + 15*y**3 - 4*y**2 wrt g.\nAnswer: 197118*y**3 - 144*y**2 + 132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*z**5\/5 + 66*z**4\/5 - 504*z**3\/5 + 294*z**2 - 1029*z\/5.\nAnswer: -3*z*(z - 7)**3*(z - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = -h - 3. Let g(o) = 84*o - 9. Let p(l) = 3*g(l) - 9*u(l). Let x(t) = -2*t. Calculate p(x(m)).\nAnswer: -522*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = -x**2 + 11*x - 4. Suppose -1 = f - 7. Let w be b(f). Suppose -2*u = -u - w. Is u a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -248 + 0?\nAnswer: -248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 1, s: 4, u: 7, w: 2, k: 1}. Give prob of sequence lk.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*m = -25*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3 + 3*p**3 + 2*p**3 - 24*p**3 + (0*p**2 - p**2 - p**2)*(0*p + p + 0*p) - 2*p**3 + 3*p**3 + 0*p**3.\nAnswer: -20*p**3 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 292 minutes before 8:18 PM?\nAnswer: 3:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -36, 6, 84, 204, 372, 594?\nAnswer: 876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 17*i**5 - 7793*i**2 + 37*i - 1587 wrt i?\nAnswer: 340*i**3 - 15586","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -66941550*q + 71508340 wrt q.\nAnswer: -66941550","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 117*j + 211*j + 1291 = 13099 for j.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 227*j - 530*j - 18153 = 669*j + 8091 for j.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -3 - -15. Let z = f + -10. Find the common denominator of 107\/14 and (-203)\/49 - (-1)\/z.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -12659 - 3278?\nAnswer: -15937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 i, 1 p, and 1 c when three letters picked without replacement from {i: 4, p: 10, c: 5}?\nAnswer: 200\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 1\/24 of a millennium?\nAnswer: 500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {e: 3, k: 2, f: 1, w: 1}. Give prob of picking 3 e and 1 k.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1\/21 + -13\/21. Let i = -16\/33 - t. Which is the closest to 0?  (a) i  (b) -5\/4  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 13?  (a) -0.5  (b) 6  (c) -5  (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 710 minutes after 10:09 AM?\nAnswer: 9:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is -633 at most -631?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -12, -11\/2, -4, 1\/7?\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) be the first derivative of -1383*a**4\/2 + a**3 + 167*a + 3831. What is the third derivative of q(d) wrt d?\nAnswer: -16596","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 7*x**2 - 193*x**4 - 75172 - 10*x**4 + 9*x + 75172 wrt x.\nAnswer: -4872*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/37 in -0.06, 1\/5, -1.9, 2\/13, 14?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 27\/(-18)*(-1 - 7). Suppose 5*u - 2*m - 60 = 0, -n - 18 = -2*u + 2*m. What is the lowest common multiple of ((-20)\/3)\/((-12)\/36) and u?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = -w + 14. Determine o(0).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -12 divided by -1244510?\nAnswer: 6\/622255","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 times -48?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 13898877 divided by -41\nAnswer: -338997","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 12488045495 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.54 + 182.54. Let z = -16.988 - -16.688. What is the second smallest value in z, u, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-9)\/21)\/((-12)\/(-8)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-104)\/28 + (-2)\/7 + 2564. Suppose -d = 2*d - 2*m - n, -5*d - 5*m = -4250. What are the prime factors of 4\/6*d\/8?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10105851\/28 + (-6)\/8 + (-3)\/(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 615*t**2 + 182*t**2 + 860*t**2 + 270*t**2 - 74*t**2 in the form a + k*t + v*t**2 and give v.\nAnswer: 1853","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -502, -489, -476, -463, -450, -437?\nAnswer: -424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-18)\/27)\/((-5)\/30).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6350068?\nAnswer: 2, 43, 36919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 40 + -19. Suppose -i = -4*z - h, 0*z + 24 = 5*z - h. Let r(p) = p**3 - 5*p**2 - p + 7. Calculate r(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -34 (base 10) in base 4?\nAnswer: -202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h - 1016 - 306 = 0. Suppose 2*z + 2*u = -2*u + 1286, z = 4*u + h. Suppose z + 352 = 13*x. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -217, -313, -395, -457, -493, -497, -463, -385?\nAnswer: -257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -279*a**2 + 547*a**2 - 47*a - 278*a**2 - 90*a to l*a**2 + n*a + t and give l.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = 5*w + 97. Give j(-18).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1922, -46, 147 in descending order.\nAnswer: 1922, 147, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 27\/4736 and 151\/1776.\nAnswer: 14208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (11 - (8 + 4)) + -5 + -19.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = -1012414*j. Let h(n) = -3*n**2. What is k(h(r))?\nAnswer: 3037242*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*k + 2 = 4*k, -5*a + k = 14. Let q(c) = c - 3. Let h be q(8). Suppose 5*j = h + 10. Put j, a, -4 in descending order.\nAnswer: j, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2 + -1 - 5 - (-6 + 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 90.3 - 90. Which is the nearest to q?  (a) 0  (b) -15  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p - 12 = 0, p + 19 = -0*o + 5*o. Solve 9*j - 5*j - q + 16 = 0, o*q = -4*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22 + 1 = 4*o - 49. Solve -b + 4*p - 16 = 0, 3*b + 5*p - 30 - o = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 697 minutes after 5:17 AM?\nAnswer: 4:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 70, 123, 176, 229, 282?\nAnswer: 335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:29 AM and 5:45 PM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/9, 5, 88.605 in descending order.\nAnswer: 88.605, 5, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -2.2187 rounded to 2 dps?\nAnswer: -2.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 1 + 6 - 0\/(-2). Let n be 48\/(-5) + (-4)\/10. Let t = n + i. Put t, -4, -5 in decreasing order.\nAnswer: t, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.9844877607 to 1 dp.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -38*w + 42*w - 8. Solve y + 4*u = -18, -39*u = -w*y - 35*u + 12 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -821*u + 836*u = 30 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (0 + -2 - 2) + 880\/5?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find m, given that 9\/2*m**2 + 3\/4*m**4 - 12*m + 0 + 27\/4*m**3 = 0.\nAnswer: -8, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = -2*a - 7. Let h be k(-7). Suppose -25 = 2*i - h*i. Solve -i*g = -2*g + 12 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3\/(-2)*16\/(-6)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 440506\/(-55) + (-2)\/(-10). Let u = d + 4175. Let z = u + 23095\/6. Find the common denominator of -91\/18 and z.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 minus 86763091?\nAnswer: -86763093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) be the first derivative of -a**6\/1260 - 2*a**5\/105 - 4*a**4\/21 - 10*a**3\/3 + 2*a**2 + 243. Let p(y) be the third derivative of m(y). Factor p(c).\nAnswer: -2*(c + 4)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2865.7 in 11, -0.1, -3, 0.5?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 3053602 to the power of 1\/3, to the nearest integer?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 4 + 1. Solve w = 14*z - 13*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18 + 7 = 5*b. Let y(o) = -1 - b*o - o**2 + o + 2*o. Let l be 25\/(-2625)*301 - (84\/(-45) + 2). Determine y(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x = 2*r - 2 - 4, 0 = 3*x + 4*r. Suppose x = 108*f - 107*f. Solve 4*k - 2*k - 5*n = -15, -f*k + 12 = 4*n for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = r + 253. Give j(-8).\nAnswer: 245","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -77976, -155948, -233920, -311892?\nAnswer: -389864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 495 divide 3477870?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (6 - 144\/15)\/(3\/(-50)). What is the remainder when 56 is divided by (b\/(-28)*-2)\/((-2)\/(-14))?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 66\/91, 0, -7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -728926 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -16607\/38 + 437. Is j >= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*o**2 + 2*o**2 - 5*o**2)*(-1 - 1 + 3 + 1 - 2 + 0 + (-1 + 3 - 3)*(0 - 2 + 4) - 1 + 3 - 1 - 1 - 1 + 4 + (-4 - 1 + 4)*(4 - 5 + 0)).\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = 8*c**2 - 6*c - 2. Let x(v) = 13*v**2 - 7*v - 2. Let h(b) = 2*b**2 - b. Let n(m) = -2*h(m) + x(m). What is 6*n(l) - 5*s(l)?\nAnswer: 14*l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 10906359 to the power of 1\/2, to the nearest integer?\nAnswer: 3302","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -10011011 (base 2) in base 6?\nAnswer: -415","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 9ac7 (base 16) to base 14\nAnswer: 10623","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence tpcq when four letters picked without replacement from pqicitbt.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:48 PM and 2:16 AM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1362 = -v - v. Let c be 2*(v\/(-6) - -2). Calculate the greatest common factor of 21 and c.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 33, 56, 79, 102, 125?\n\"Answer: 23*t + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {a: 8, r: 1, w: 4}. What is prob of sequence aa?\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = 5*o**2 + 3*o. Let x(z) = 22*z**2 + 13*z. Let q(c) = 26*w(c) - 6*x(c). Let y(b) = 10*b + 14. Calculate y(q(g)).\nAnswer: -20*g**2 + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 32375 and 259?\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -0.2 from -79.1282.\nAnswer: -78.9282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h + 24 = -2*u, -h + 2 = 4*u + 15. Solve -h*d - 2 = -5*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -9.93 + 10. Let x = 3.93 + t. Let a = -4.2 + x. What is the second smallest value in -1\/2, a, 0?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = 8*j - 14. Let g(d) = -25*d + 41. Let u(f) = 2*g(f) + 7*l(f). Let a be u(4). Suppose a*q - 9*q + 178 = 0. List the prime factors of q.\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -298 and -4646416?\nAnswer: 4646118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*t**2\/5 + 5172*t + 621792\/5.\nAnswer: -2*(t - 12954)*(t + 24)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8\/5*h**5 + 16\/5*h**2 - 4\/5 - 8\/5*h**3 - 12\/5*h**4 + 0*h = 0. What is h?\nAnswer: -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.4, -20, 77\/5, 0, -127.\nAnswer: -127, -20, -0.4, 0, 77\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 919 is divided by 278?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -360 - -314 - (-4 + -41)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide 201 by -2329.\nAnswer: -201\/2329","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence kj when two letters picked without replacement from jooykkpkkoooyopkoo.\nAnswer: 5\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = b**3 - 55*b**2 + 341*b - 227. Let t be l(48). Let o(u) be the third derivative of 0*u - t*u**2 + 0*u**3 - 1\/15*u**5 + 1\/2*u**4 + 0. Factor o(j).\nAnswer: -4*j*(j - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-7696)\/(-1680) + -4 - (-30)\/225.\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -4482, -4490, -4498, -4506?\n\"Answer: -8*h - 4474","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 124 = -14*l + 61*l - 64 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = 5*u**2 - 15*u. Let b be m(6). Suppose -z - 31 = -b. Is z 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 863495611?\nAnswer: 11, 73, 1075337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) 6  (b) -1\/3  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 1777039908 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -421, 3, -2\/13?\nAnswer: -421","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = 16*h**2 + 7*h. Let j(v) = -34*v**2 - 15*v. Let f(p) = 7*j(p) + 15*x(p). Let k(w) = 2642*w**2 + 1. Give k(f(s)).\nAnswer: 10568*s**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 447, 470, 97, -678, -1861, -3458, -5475, -7918?\n\"Answer: -f**3 - 192*f**2 + 606*f + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 115\/12 and 946\/(-33)*2\/(-16)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 288591 is divided by 2005?\nAnswer: 1876","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -27 + 40 - 29 + 2*a**2 wrt a?\nAnswer: 4*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 91*g - 529 = 290 + 426 - 153 for g.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 6 - 147\/28 - 3\/4. Suppose -16*w + 0*w + 48 = o. What is the highest common divisor of w and 33?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -91 + 95. Solve -3*l = 2*p + 22, -u*p - 10 - 22 = 3*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -65, -116, -161, -200, -233?\nAnswer: -260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x = 2 + 7. Suppose -12 = -x*g, 0 = -t - t + 5*g. Is (-4)\/6*(-2865)\/t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -224787 bigger than -224776?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.351 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand 6*d**2 + 7*d**2 - 6*d**2 + (0*d + d - 2*d)*(-2*d + 4*d - 3*d) + (-12 + 12 + 6*d)*(8*d - 4*d + d).\nAnswer: 38*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1133 is divided by 422.\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 4, 141487, 10, -2 in increasing order.\nAnswer: -2, 1, 4, 10, 141487","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = 266*k**2 + 231*k + 77. Let q(v) = 14*v**2 + 12*v + 4. Let u(w) = -4*a(w) + 77*q(w). Let z(y) = -y**2. What is -u(o) - 21*z(o)?\nAnswer: 7*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = -3*j. Let w(l) be the second derivative of -7*l**6\/360 + 5*l**3\/6 - 2*l - 5. Let i(g) be the second derivative of w(g). Give i(y(k)).\nAnswer: -63*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 25*t = 230 + 120 for t.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -0.3 - -0.1. Let p = 6 - -1. Let f = 9 - p. Sort a, -1\/3, f in increasing order.\nAnswer: -1\/3, a, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 11*w - 20 + 19 - 2*w**4 - 2*w**3 - 25*w as c*w**3 + b*w**2 + x*w**4 + u*w + f and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = -2*r + 1. Suppose -y - 2*k = 5, r*y + 23 = y + 4*k. Let g = y - -14. What is the second biggest value in g, -4, -9?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 1  (b) -2\/27  (c) -2  (d) 4  (e) -1  (f) 30.41\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 99625 + 313233. Let m = -757142 - u. What is m rounded to the nearest 1000000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -56*t - 12*t + 4 - 51*t + 5*t + 1 - 2*t**2 to the form w*t + q*t**2 + f and give f.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i - 47 = -6*b + 3*b, 0 = -2*b + 5*i + 25. Let x be (b - 1)\/((-7)\/(-140)). What is the highest common factor of 28 and x?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -12c9045 - -2?\nAnswer: -12c9043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2811662746, 2811662745, 2811662744, 2811662743?\nAnswer: 2811662742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1077 - 649. Let x be (4 + -7)\/(6\/z). Let u = 357 + x. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -132*r + 18*r + 404 = -13*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -23*s - 375 = -18*s. Let d(g) = -148*g**3 + 4*g**2 - 3*g. Let c be d(4). Let a be c\/s + 2\/5. Calculate the highest common factor of a and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.2 in 3\/5, -69, -0.1, -13\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 3745.24 - 3743.6. Is o less than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1\/(-7)*648\/((-162)\/6))\/((-34)\/(-119))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 14 and 12222.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -669 + 681. Let d be (-100)\/(-6)*(-3)\/(-2). Let t = -16 + d. What is the smallest common multiple of t and z?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zv when two letters picked without replacement from zvtnzcy?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*u - 12*u + 6*u.\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = -14*u + 1. Let j be (-2)\/5 - (-16)\/(-10). Is 3 a factor of r(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 12 and 71666106.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*(sqrt(19)*1 + sqrt(19)) - (2 + sqrt(76) + sqrt(76) + sqrt(76)))**2.\nAnswer: 72*sqrt(19) + 6160","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 9.357027ug to kilograms.\nAnswer: 0.000000009357027","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = 7*y**2 - 6*y + 2. Suppose -3*t + 2*t = -3. Suppose 9 = i - t*z, -3*i - z - 14 = -7*i. Calculate the remainder when x(i) is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k**4 - 39*k**3 + 135*k**2 - 33*k - 210 = 0. Calculate k.\nAnswer: -1, 2, 5, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Work out 15975 * -4.\nAnswer: -63900","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = -3*j + 43. Determine x(14).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = b - 3*b + 78. Let k be 1*3\/(-6)*2. Let t be k - (68\/(-4) - -3). Calculate the greatest common divisor of b and t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.57 in 3, -5, -125?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = -2*l. Let k(d) be the third derivative of -15*d**4\/2 + 192*d**2. What is j(k(b))?\nAnswer: 360*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = -3*j**3 - j**2 - 2*j + 1. Let l be y(-2). Solve -6*a = -5*q - a - l, a - 14 = 4*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 48 - 47.7. Which is the closest to -3?  (a) -1  (b) h  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -490*q - 149 = -228*q + 154 + 1793 for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = f**2 - f - 4. Let q be r(3). Suppose 0 = -g - 5*z + 14, -q*g - 8 = 2*z - 4*z. What is the tens digit of g + -1 - (4 + (-5 - 26))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1939162611 to the power of 1\/2, to the nearest integer?\nAnswer: 44036","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 28651 divided by -1.\nAnswer: -28651","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1603946\/5 or 320789?\nAnswer: 1603946\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 20123 + -10632. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = 9*s**3 - 2*s - 1. Let p = 10 - 11. Determine l(p).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 10615 + -10032. Calculate the remainder when i is divided by 215.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1 - 5) + 7 + (1 - 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = -2*m**2 - 28*m - 19. Let j be g(-16). Let s be (-8271)\/63 - (-2)\/7. Let a = j - s. Does 24 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2878333*k**3 - 431*k**2 + 7*k + 62 wrt k?\nAnswer: 17269998","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 112 + 113213\nAnswer: 113325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 510 a factor of 15075090?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 0 - (0 + -3) - -11. Let o = j - 10. Suppose u = -z + 7, z - o*z = -5*u + 27. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -27505*n = -27337*n - 2352 for n.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -37*d - 61*d + 46*d + 52*d - 9*d**3.\nAnswer: -9*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 574.306261 rounded to 1 decimal place?\nAnswer: 574.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 1.873 and -102548.\nAnswer: -192072.404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:08 AM and 12:39 PM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 t and 1 g when two letters picked without replacement from {g: 2, t: 6}?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 17548667 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/19, -3\/8, -0.3, -5, 1\/2078 in descending order.\nAnswer: 1\/2078, -2\/19, -0.3, -3\/8, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 57570400 and 51813360?\nAnswer: 518133600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-1778)\/635*(-10)\/7. Suppose 4*b - d - 24 = -8, 36 = 4*b + z*d. Sort -3, b, 7 in decreasing order.\nAnswer: 7, b, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4681289 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 142 divided by 34301.\nAnswer: 142\/34301","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 112970.\nAnswer: 2, 5, 11, 13, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g + 0*g + 38 = 5*o, 3*o - 36 = 4*g. Calculate the remainder when (-422)\/g + (-28)\/(-42) is divided by 25.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = -b**3 - 3*b**2 + 4*b. Let k be u(-4). Suppose 3*c - 11 = -2. Let q(z) = 2*z**2 - 4*z - 1. Let g be q(c). Sort g, 2, k.\nAnswer: k, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 43121 is divided by 984.\nAnswer: 809","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 71249 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: (39 - -60) + -18 + -2\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -0.09, -190320 in increasing order.\nAnswer: -190320, -3, -0.09","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -107524, -107355, -107186, -107017?\n\"Answer: 169*s - 107693","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -83219, 0.1, 1, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h - 3*h + 5*m - 17 = 0, h + 5*m = 23. Suppose -h*p = -6*p + 279. Calculate the remainder when p is divided by 96\/(12\/4) - (-56)\/21*-3.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 218 is divided by 16?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = -d**2 + 4*d - 2. Let b be t(2). Solve b = 2*c + 6 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) be the second derivative of k**4 + 4\/25*k**5 + 32\/15*k**3 - 63*k - 1 + 11\/5*k**2 - 1\/75*k**6. Factor z(d).\nAnswer: -2*(d - 11)*(d + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (12\/5)\/(18\/585)?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:03 PM and 12:49 AM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 3242546369 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from qiqiqoi.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 40 = 5*t - 3*s, -113*s = 3*t - 111*s - 5 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 14 and 24941.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 7\/35 - 364\/70. Let i be 7 + (-1 - (0 + -4)). Put g, 1, 6, i in increasing order.\nAnswer: g, 1, 6, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -120102 + -21?\nAnswer: -120123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**(1\/5)\/d**(-6))\/(d**(-1)\/d**(-2\/5)) assuming d is positive.\nAnswer: d**(34\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = -2*s**2 - 14*s + 1. Let u = 15699 + -15706. What is d(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 128340 divided by 93?\nAnswer: 1380","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 0\/7 + (1 - 0)*4. Let h(m) = m**3 - 3*m**2 - 2*m. Let b be h(4). Let v = b - -1. Solve u*p + v = 1 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = -g**3 + 6*g**2 - 41. Let s be u(-8). Let h be 1\/(-19)*2 + 4365\/s. Solve 4*r - 1 + h = -4*m, -4*r + 2 = -2*m for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:56 AM and 2:18 PM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 19, 46, 97, 184, 319, 514, 781?\nAnswer: 1132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -152 - -154. Find the third derivative of 15*u**6 + 74*u**6 + 31*u**l - 42*u**6 + 90*u**6 wrt u.\nAnswer: 16440*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (((-8)\/18)\/(-1))\/(20*(-22)\/(-1980))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 77 and 77?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o = -4*f + 166, -o - 2*o = -6. Let a = f + -40. Solve 4*w + 11 = -3*t - 4, -20 = -5*w + a*t for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -78*h**3 + 454*h - 234*h - 6*h**3 - 227*h.\nAnswer: -84*h**3 - 7*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = 12*v + 4. Let d(r) = -2*r**3 + r - 1. Let a be d(1). Let k(l) = l. Let w(j) = a*k(j) - p(j). Differentiate w(g) with respect to g.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = w**2 - 26*w + 164. Let g be t(10). Let v(s) be the second derivative of 1\/80*s**5 + 1\/12*s**3 + 0*s**2 + 7*s + 0 + 1\/16*s**g. What is m in v(m) = 0?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = -2*i**3 + 158*i**2 - 4*i + 325. Calculate c(79).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -2\/7  (b) 0.2  (c) -4650\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*c**2\/3 + 16207450*c\/3 - 5402484.\nAnswer: 2*(c - 1)*(c + 8103726)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -5 + 7.7. Let x = i + -3.98. What is x rounded to 1 decimal place?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2443 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = -3 - 5*x**2 - 5*x + 10 + 4*x**2 - 2*x. Suppose -2*r - 6 = 8. What is the units digit of y(r)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.35 + 0.05. Let p = 144 - 146. Which is the nearest to p?  (a) -0.5  (b) -3\/4  (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = 864*b - 812. What is the tens digit of l(6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -73 + (91 - 22) + -86.\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m*m**33\/m)\/m)**(-21)\/((m*m**35)\/m**20) assuming m is positive.\nAnswer: m**(-688)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y - 35*p - 30 = -30*p, 0 = 4*y + 3*p + 32. Let d(z) = -z + 5. Let j be d(8). Sort -31, y, j.\nAnswer: -31, y, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.31947367 rounded to 3 dps?\nAnswer: -1.319","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 j and 1 s when three letters picked without replacement from tstttjjtttttttttt?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 2575000 rounded to the nearest 100000?\nAnswer: 2600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -12311001301 + -100?\nAnswer: -12311002001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*r + 30 = 4*f, -3*r + 0*f + f - 31 = -3*f - 6 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -48?  (a) 4  (b) 1\/8  (c) 0.4  (d) 2\/579\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00463735 rounded to 4 dps?\nAnswer: -0.0046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 8\/(-6)*(-6)\/90*-9?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = -73*u + 73*u - 5 + 2*u**3. Let i(b) = 9*b**3 - 21. Calculate 21*h(j) - 5*i(j).\nAnswer: -3*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 88 or 87?\nAnswer: 87","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = -111*i**3 - 2*i**2 - 2*i. Calculate the remainder when z(-1) is divided by 23.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 50.63492 years in months?\nAnswer: 607.61904","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 4 + (0\/(-4) - 2 - 0). Suppose -2*l - k*r = 6, -5*r + 10 = -l + 1. Sort -9, -5, l in descending order.\nAnswer: l, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -74, -293, -654, -1151, -1778, -2529, -3398, -4379?\n\"Answer: c**3 - 77*c**2 + 5*c - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) -1  (b) -45.8  (c) -3  (d) -22\/9  (e) 1\/253\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0 (base 7) to base 13.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-540)\/144)\/((-25)\/(-60))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:42 PM and 1:40 AM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(468)*-1 - sqrt(468))**2 + -2.\nAnswer: 1870","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1798.\nAnswer: 2, 29, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 617*f + 18 = 610*f + 1635. What is the greatest common divisor of f and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -2222 + 2273.51. Let x = -52 + i. Round x to one decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o - 24 = -4*h + o, 0 = 2*h - 5*o - 15. Let k(r) = r**2 - 3*r - 3. Let a be k(4). Sort 2, a, -4, h.\nAnswer: -4, a, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = -8*p**2 - 8*p + 3. Let r(j) = 17*j**2 + 17*j - 6. Let g(c) = -9*f(c) - 4*r(c). Let w be g(-5). Calculate the highest common factor of w and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify x**(1\/16)\/x**(1\/7) assuming x is positive.\nAnswer: x**(-9\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {a: 4, d: 1, c: 1, e: 2, i: 2}. What is prob of picking 2 a?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -21*b - 22*b + 43*b + 9*b**3.\nAnswer: 9*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -1784*s**4*u + 812*s**3*u + 1951*u - 2052 wrt s?\nAnswer: -7136*s**3*u + 2436*s**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -23\/25071, -1, -1\/48 in increasing order.\nAnswer: -1, -1\/48, -23\/25071","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 0 - 28a?\nAnswer: -28a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round -21919000 to the nearest 1000000.\nAnswer: -22000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = -q**3 + 8*q**2 + 8*q + 11. Let m be g(9). What is the highest common factor of 1 and m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 92\/6 + (-2)\/6. Let g be (1 - 27\/q)*-5. Suppose -g*f + 57 = -f. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0149702 rounded to 3 decimal places?\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/8?  (a) -2  (b) 4  (c) 184\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*a + 0*a - 4*a - a.\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2 + 1 - 7) + -3 - (2 - 12).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -5 + 2. Let m = -1 + 3. Let i be (-4)\/(-10) + m\/(-5). Is k <= i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -496 at least -498?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -7 or -255\/38?\nAnswer: -255\/38","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = 4. Let h be ((-5)\/(-10))\/(1\/(-8)). Let d(q) = -q - 5. Determine h*d(b) - 5*a(b).\nAnswer: 4*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from uveveveuvewevwuewvv. What is prob of picking 1 e and 1 w?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(60) - 1*sqrt(4860))\/(-5*(sqrt(12) - sqrt(12)*4)).\nAnswer: -8*sqrt(5)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3810804?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -2 + (9\/12)\/(18\/144). Sort x, 55, 5, -1 in ascending order.\nAnswer: -1, x, 5, 55","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = -6*k - 86. Let p be a(-15). Solve p*c = -2*c + 24 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 6.3 - 6. Let t = 0.7 + n. Are t and -2\/13 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-285)\/(-475)*2\/3)\/13?\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = 6*n**3 - 4*n**2 + 14*n - 4. Let r(y) = y**3 + y**2 + y. Let f(k) = -5*r(k) + t(k). Suppose 6*b = d + 2*b - 20, -4*b = -3*d + 36. Does 2 divide f(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 606?\nAnswer: 2, 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -31531700 or -31531701?\nAnswer: -31531700","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {r: 4, a: 4, y: 1, i: 5, z: 4, j: 2}. What is prob of sequence zaj?\nAnswer: 4\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -37944769*h - 61710076.\nAnswer: -37944769","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*g - 15 - 3 = 0 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-4)\/5)\/((-3)\/(-45)*-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {k: 2, m: 7, f: 3, l: 1, o: 2, b: 3}. Give prob of sequence lmbf.\nAnswer: 7\/8160","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Divide -139558 by -7.\nAnswer: 139558\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3278 is divided by 23.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find d such that -6*d**2\/7 + 35018*d\/7 + 23348\/7 = 0.\nAnswer: -2\/3, 5837","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -44 + -2?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = i - 6. Let v be c(5). Let x be (-1 + (-9)\/(-15))\/(5\/(-50)). Let o = 3 - 0. Sort o, x, v in decreasing order.\nAnswer: x, o, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 3?  (a) -4\/5  (b) 1  (c) 2\/3  (d) -0.1  (e) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -t - 10 = -3*m, -4*t + m + 3 = -12 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -8, 1, -395, 4, -4, -5 in descending order.\nAnswer: 4, 1, -4, -5, -8, -395","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"}
{"text":"Question: Let r be 1\/(-3) + 13\/3. Let 9*g + 3*g + 12 - 6*g**2 - 3*g**2 + 3*g**r - 6*g**3 + 0*g**2 = 0. What is g?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 18975\/138*((-224)\/77)\/(-4)?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b - 39*b + 2520 = 0. What is the smallest common multiple of b and 7?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -247*r**3 - 111*r - 258361 wrt r.\nAnswer: -741*r**2 - 111","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -38 - -42. Which is the nearest to t?  (a) -2\/19  (b) 5  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 215104?\nAnswer: 2, 3361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c = 4*q + 6*c + 228, -4*q = -5*c + 273. Let v = q - -186. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i = -5*s - 6*i - 19, 0 = -s + 3*i + 9. Is 1\/((-128)\/5206*122 - s) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(20)\/(sqrt(4)*4 + sqrt(4)))**2 + (sqrt(15)\/sqrt(3) + 0)**2.\nAnswer: 26\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = -240*h - 669. Let p be b(-5). Calculate the highest common factor of 3894 and p.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 694*i**2 + 4*i**2 + 49141 - 49142.\nAnswer: 698*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 5166 and 74674530?\nAnswer: 74674530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.1392 greater than or equal to -0.65?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s - 3*s = 2*s. Suppose s = x + 6 - 9. Suppose x*t = -4*t + 14. Solve -2*y = 4*z + 8, -t*z = 2*y + 1 + 1 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = 10*j**3 - 593*j**2 + 443*j - 15514. What is a(59)?\nAnswer: 180","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = 24*i**2. Let k(f) = 25*f**2 + 4*f**2 + 10*f - 10*f - 5*f**2. Calculate k(y(x)).\nAnswer: 13824*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 7 - 5. Let r(i) = -11*i**2 + 462*i + 3. Calculate the remainder when b + 0\/(-3) + 9 is divided by r(42).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-729864)\/2180)\/279 + ((-28)\/30)\/(248\/(-306))?\nAnswer: -3\/62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1020 + 663 = -736*b + 175*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 62952?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = -i**2. Let t(a) = -60282*a - 12. Calculate t(d(q)).\nAnswer: 60282*q**2 - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is three tenths of a millennium in decades?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 21421123 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 117885347 to the nearest integer?\nAnswer: 10858","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l = -3*y - 58, 4*l = -5*y + 7 - 93. Let i = y + 19. Which is bigger: -1\/29 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v - 1 = -r, 4*v = -3*r + 6*r - 3. Put r, -1, 6 in ascending order.\nAnswer: -1, r, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((x - 3*x + 0*x)*(161 - 81 - 71) - 3 + 3 + 2*x)*(12*x + x**2 - 2*x**2 - x**2 + 2).\nAnswer: 32*x**3 - 192*x**2 - 32*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round -6.5293292 to one decimal place.\nAnswer: -6.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 45375838 - -5?\nAnswer: 45375840","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 84348*a*f**2*p - 115*a*f*j**2*p**2 - f**2*j**2*p**2 + 44*f**2*j**2*p + 326*f**2*p**2 + 7*f**2 - 2*f*j*p**2 wrt a.\nAnswer: 84348*f**2*p - 115*f*j**2*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = x**2 - 7*x - 10. Let u be d(10). Suppose 5*h = -0*h + u. What is the smallest common multiple of h and (12 + -2)*(1 + 0)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 57698.02 rounded to the nearest 1000?\nAnswer: 58000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = -l + 1. Let s(m) = -3*m + 19. Let g be s(6). Let i(f) = -8 + 5 - 3*f + 7. Suppose 2*u - 4*u - 5*b + 5 = 0, 4*u = 2*b - 26. Give g*i(z) + u*w(z).\nAnswer: 2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Product of -13.4 and 0.014278.\nAnswer: -0.1913252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 126993 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = -q**3 + 4*q**2 - 8*q + 17. Let k be r(5). Find the common denominator of ((-1422)\/k)\/(27\/36) and 562\/24 + 4\/12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -1622 - 7083?\nAnswer: -86a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -4 - -10. Let c be b\/15 - 18\/20. Which is bigger: c or -1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) be the second derivative of s**4\/4 + 48*s**3 + 3456*s**2 - 79*s. Factor u(p).\nAnswer: 3*(p + 48)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = -44*o**3 - 754*o**2 + 4*o + 80. Give a(-17).\nAnswer: -1722","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = r + r - r + 0. Suppose 4*c = 22 + 10. Let g(w) = 22 + 2*w - c - 14. What is q(g(i))?\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 368 and 48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 239 = 28*g - 2561. Does 10 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 156, 1, 4, 53, -5 in descending order.\nAnswer: 156, 53, 4, 2, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q - 3*q - 2 = 0. Suppose q + 14 = 3*x. Solve v = -4*v + x for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -65042371*m**3 + 1621362*m**2 + 9*m wrt m?\nAnswer: -390254226","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*p + 25 = -3*k, -542*p + 3*k = -540*p - 19 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -43 + 49 + (-92)\/12 + 1. What is the nearest to -0.03 in 2, -5, p, 7?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -14141459 or -14141464?\nAnswer: -14141459","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = z**3 + 5*z**2 - 11*z - 59. Let u be d(-4). Does 1\/105 = u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from iissuysiiy. What is prob of sequence siu?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 56 + -55. What is the smallest value in -2, -1, 0.5, b?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 0 + 4)*(-2*u - 2*u - u)*(4 + 0 - 2)*(-98*u + 51*u + 73*u).\nAnswer: -520*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -95\/2981311 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 0 or 66\/21859?\nAnswer: 66\/21859","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express 14*x + 555 + 220 + 5*x - 513 as t + v*x and give t.\nAnswer: 262","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d = -5*v + 2*d + 16, -5*v = -5*d - 20. Suppose r + 12 = v*r. Suppose -12 = -3*n, -5*h - 2*n = -r - 7. Solve -3*k + 4 - h = 0, -5 = 4*l - k for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3 divided by 890\nAnswer: -3\/890","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j - 103 = -l, 2*l + 2*j + 447 = 7*l. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v - 4*o - 32 = -8*o, 0 = -v - 5*o + 25. Solve 4*f + 8 = 4*y + 2*f, v = -5*f for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1266 - -1266.00000463. What is r rounded to six dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/139, 1.3, -0.4 in descending order.\nAnswer: 1.3, 1\/139, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + (3*-6*sqrt(102)*1)\/(sqrt(42)\/sqrt(112) + sqrt(6) + sqrt(54)*-4).\nAnswer: 72*sqrt(17)\/43","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: (150\/1330*-57)\/((-8)\/56)\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h - 5*p = -1, -6 = 4*p - 2. Suppose v = -2*v - j + 27, h*j - 36 = -4*v. Solve 3*a = -0*a + v for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = -143*q**2 - q - 114. Let o be b(-10). Let m = -10207 - o. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0002339321 rounded to five dps?\nAnswer: 0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2 = 2*b + 3*y - 5*y, 0 = -4*b - 3*y + 4 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*(-4 + 3*(3 + -6*(sqrt(684) + 0)) + -2)*-2)**2*-4.\nAnswer: -31914000 + 93312*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 19252 to the power of 1\/2, to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -53\/4 or -13?\nAnswer: -53\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -167\/3 - -55. Suppose 0 = 23*d - 16640 + 954. Let m be (-6)\/11 - d\/(-363). Which is the closest to j?  (a) m  (b) 1  (c) 0.047\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((((b*b\/b**(2\/3))\/b*b*b*b)\/b*b*b*b**(-2\/13)*b*b)\/(b**0\/b**(2\/7)))**(-29))**(-3\/22) assuming b is positive.\nAnswer: b**(51185\/2002)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -11783, -1\/6, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 5408*t**4 - 19*t - 14.\nAnswer: 64896*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from msjszgzssgg. What is prob of sequence sj?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from cccldcccc. What is prob of picking 1 l, 2 c, and 1 d?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -6039, -4899, -3759, -2619?\nAnswer: -1479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 2464 - 14743\/6. Calculate the common denominator of (-108)\/16 - 2\/(-4) and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1.2 + -346607808452.\nAnswer: -346607808450.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000046138 rounded to six decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = -136*s + 9. Determine m(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 276665 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 496 minutes after 12:06 AM?\nAnswer: 8:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Total of -6029232 and 8023.\nAnswer: -6021209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((g**(-1\/4)\/g)\/g*g\/g**(-1\/4))\/(g*g*g*g\/(g*g**(-1)))**32)**18 assuming g is positive.\nAnswer: g**(-2322)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is three tenths of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -4610.4793 to the nearest ten.\nAnswer: -4610","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 g and 1 s when three letters picked without replacement from gsgsg.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -36\/11 - -213\/55. Suppose 0 = -2*w - 4*x + 52, 206*w = 207*w - 5*x + 44. Solve w*a - 15 - y*a**2 = 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 1 - 33?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((l*l\/(l*(l*l\/l**(-19)*l)\/l)*l)\/((l**(-3\/35)\/l)\/l))\/(l\/(l\/l**(-13))*l*l**22*l))**(1\/5) assuming l is positive.\nAnswer: l**(-977\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -n + 556 = 2*f + 561, -5*f + 3*n = -4 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 724826976 to the power of 1\/4, to the nearest integer?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 1d6089 + -1d1?\nAnswer: 1d5da8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 + 2 = -3*h. Let m be (-24)\/57*h\/8. Let j = -3497 - -3496. Are j and m unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.13 in -0.5, 17, 1\/10, 7?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 3, -1, -329, 0, 16.\nAnswer: -329, -1, 0, 1, 3, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**(-4)*v*v\/v**6)**(-46)\/((v**0\/v)\/v*v**(2\/5))**13 assuming v is positive.\nAnswer: v**(1944\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o - 14 = j, -16 = -2*j - 3*o - 0*o. Suppose h = 3*c - 5*c + 7, j*c = 5*h - 11. Suppose 534 = 4*s - c*s - w, 2*s + 3*w - 550 = 0. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = -5*l**2 - 29*l + 10. Determine j(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((0 + sqrt(300) + -2)**2 + sqrt(300))*-1*5.\nAnswer: -1520 + 150*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is -142 bigger than -153?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 23 - 21. Suppose 2*v - 4*v + h*k = 4, -4*k + 22 = 3*v. Let i be (2\/4*4)\/1. Solve -v*b + 12 = i*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 59636650?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 16001 - 15688. Sort 4, 2, 3, -1, v.\nAnswer: -1, 2, 3, 4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 768 a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 + (6 + -4 - 0 - -3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = 4*q + 78. Calculate d(-23).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 9 and 4538.\nAnswer: 40842","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 77*f + 21 = 80*f. Suppose -5 + f = -2*d. What is the remainder when 19 is divided by 2 + 0\/d + 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 198695 is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 2.6 - 22627\nAnswer: -22624.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 484159 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, -24, -8045 in increasing order.\nAnswer: -8045, -24, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify z**(-5)*z\/(z\/(z*z\/z**(2\/15)))*((z\/(z\/((z**(-6)*z)\/z)))\/z)\/(z*z**(-6\/5)) assuming z is positive.\nAnswer: z**(-149\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = 1899*o**2 - 87*o - 269. Let f be r(-3). What is the greatest common factor of 22 and f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -15*h + 4*h - 18*h - 2*h to q*h + d and give q.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -75 = 5*x - 3*f, f + 4678 = -5*x + 4623 for x.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*y - 5*m + 42 = 0, 1686*m - 56 = -4*y + 1674*m for y.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 12\/(-8*10\/(-40))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 833*u = 848*u - 225 for u.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -81*z + 84 = 61*z - 130*z for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-32)\/(-12)*3\/(-12)*-3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o + 29 = g - 0*g, -3 = o. Suppose 4*d + q - 738 = -9*q, -4*d = -2*q - 822. Calculate the remainder when d is divided by g.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine t, given that -10*t**3\/9 - 274*t**2\/9 + 472*t\/9 + 232\/9 = 0.\nAnswer: -29, -2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x + 2*p - 30 = -x, -3*p - 19 = -2*x. Suppose -3*l + x*l = 40. Solve 4*b - l = -4*v, -4*b + 2 = -b + v for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.04 times 32\nAnswer: 1.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*k + 3 = -8*k + 16. Let s = -104\/19 - -6599\/1216. Is k less than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*j - 8*j = 6*i + 3596920, -5*j = -3*i - 1798445. Round i to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -81?  (a) 1\/4  (b) 3  (c) 4\/5  (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 595.6972 litres?\nAnswer: 595697.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = -269*w**2. Let r(m) = 3*m. Give r(a(g)).\nAnswer: -807*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*(-5*(1 + sqrt(432)) + -4)*-1 + 5)**2.\nAnswer: 7920*sqrt(3) + 97684","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is one fifteenth of a hour in minutes?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-2 - -5) + -4 + 6 + -1. Let p be v + 85\/(-20)*-4. Find the third derivative of 24*g**6 - 5*g**2 + p*g**2 + 2*g**2 wrt g.\nAnswer: 2880*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -12016786 + -0.06.\nAnswer: -12016786.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is (1244 - 1251) + (46 - 1)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 5 - -106121?\nAnswer: 106126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 530 - 470. Calculate the highest common factor of n and 180.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 44059 - 9144 = 5*o - 5*t, 5*t = -4*o + 27950. What is the greatest common factor of 55 and o?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 29 a factor of 43705?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 1472695 and 45?\nAnswer: 13254255","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*w**2 + 4*w**4 + 229*w - 227*w + w**3 + 7*w**4 + 0*w**4 to the form z*w**3 + h + c*w**4 + u*w**2 + p*w and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -63.96 - -62. Let w = m + -0.04. Let g = -1 + w. What is the smallest value in -2, g, 1\/10?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 0 from -387800052102.7.\nAnswer: -387800052102.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -4313, -4312, -4311, -4310, -4309?\nAnswer: -4308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = 2*k + 12. Let l be i(-5). Suppose -182 = -l*a - 4*p, 4*p = -3*a - 0*a + 275. What is the greatest common factor of a and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 125 + -117. Is 13 a factor of (a + (-62)\/4)*(-64)\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t + 10 = 4*l + 2, 0 = -2*l - 5*t + 18. Solve -6*k = -2*k - l for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0.8 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:48 AM and 2:57 AM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 1*(-6 - 3)\/(-3). Solve -12 - k = 3*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -m - 3 + 5. Suppose 1075 = 5*n - 4*t, -2*n = -3*n - m*t + 201. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 22?  (a) -11.13  (b) 2  (c) -5  (d) -2\/3  (e) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = 155*x - 302*x + 2*x**3 + 147*x. Let u(r) = -2. Let b be (1 - 0)*(2 + 3). Let c(m) = -1. Let k(q) = b*c(q) - 2*u(q). Calculate -2*k(i) - w(i).\nAnswer: -2*i**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = f**2 + 6*f - 4. Let b be (-12)\/4 - (-4)\/(-1). Let p be y(b). Suppose p*s = s. Solve -r = -m, 0*m - 5*m - 5 = s for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 6.83 - -0.17. Let y = q + -5. Let z = -26\/9 + 29\/9. What is the closest to z in y, 3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = 3*r - 2. Let d = 0 - 3. Let k be -3 + 1 + (2 - 3)*d. Let i(x) = x**2 + x. Determine k*h(t) - 2*i(t).\nAnswer: -2*t**2 + t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = -3421*c**3 + 2*c**2 - c. Let w be u(1). Let j = w + 5113. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 245221 - 67561. Suppose -251340 = -30*g + z. What is g rounded to the nearest 1000?\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -5e86 (base 16) to base 8\nAnswer: -57206","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -494 - -494.0413. Let k = 0.041300454 - z. Round k to seven dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -98136*-9.408.\nAnswer: 923263.488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express ((2*i + i - 2*i)*(1 + 3 - 3) - 2*i - 5 + 5 - 2*i + 1 - 1)*(39 - 39 + 12*i) as h + w*i + t*i**2 and give t.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-57)\/(-38) + 3\/(-2)*-1. Suppose -y*l - 2193 = -20*l. Does 43 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j\/((j\/j**(2\/5)*j)\/j)*j**(-3))\/(j**(-7\/3)*j\/j**(-1\/2)) assuming j is positive.\nAnswer: j**(-53\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 459 divided by 17.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0 + -1. Let t(b) = -2*b. Let c be t(d). Let p(r) = -2*r + 1. What is p(c)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(50) - ((sqrt(300)\/sqrt(6)*-6)**2 + sqrt(50) - sqrt(50)) - (sqrt(200)\/(sqrt(4) + sqrt(36)))**2.\nAnswer: -14425\/8 + 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i - 224 = 4*d - 0*i, -5*d = -3*i + 276. Let m be 26463\/173*3\/d. Let h = 1\/519 - m. Find the common denominator of -81\/4 and h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 105857?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = -r**3 - 8*r**2 + 27. Let n be x(-8). Suppose -3*k = 2*p - 36 - 136, -k = -p - 64. Suppose -3*l + k = -n. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) be the second derivative of u**3\/6 - 3*u**2 + 2*u. Let d be k(8). Solve d*l - 8 = -2*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -61\/352 and (-284)\/426 - (-431)\/192.\nAnswer: 704","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = 2*l**2 - 4*l. Let w(o) = 2*o. Let p(m) = -3*f(m) - 6*w(m). Let t(v) = -25*v**2. What is t(p(c))?\nAnswer: -900*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -73\/138285 and 68\/1953.\nAnswer: 4286835","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = u - 28335 + 3*u - 28325 + 56637. Determine f(0).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 246313 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -2 - -7. Let y = 64\/3 + -22. Which is the nearest to y?  (a) z  (b) -0.5  (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -130115 and 3.\nAnswer: -390345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 57114 and 342?\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**16\/h)\/h**5*(h**7*h)\/h**5 assuming h is positive.\nAnswer: h**13","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 3 - 2)*(1193*w**4 - 354*w**4 + 1115*w**4).\nAnswer: -3908*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence iy when two letters picked without replacement from {e: 4, i: 6, y: 1}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.03, 1273, -3470 in decreasing order.\nAnswer: 1273, 0.03, -3470","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 506  (b) -5\/3  (c) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 2*((-11)\/(-110))\/((-2)\/(-10))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 18, -1\/3, -4, -1\/20, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = 3*v**2 + 3*v. Let g(n) = -9*n**2 - 8*n + 1. Determine 3*g(u) + 8*k(u).\nAnswer: -3*u**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-4)\/5)\/(2\/(-15)). Let n(k) = k**2 - 5*k - 6. Let p be n(j). Solve p = -b + 1 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 50020\/3 or 16672?\nAnswer: 16672","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 5, -57, 4, -5, 6 in ascending order.\nAnswer: -57, -5, -2, 4, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 17 - 80. Let p be ((-8)\/(-6))\/((-6)\/g). Suppose 3*l + p - 35 = -2*q, 9 = 2*q - l. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence tte when three letters picked without replacement from {e: 13, t: 5}?\nAnswer: 65\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 1, y: 1, m: 5, q: 1, z: 1}. Give prob of picking 1 y and 1 z.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 315205 a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -4 + 6. Suppose 0 = -i + c + 1. Suppose -51 = -y + i*s, -y - 3*s = -0*s - 63. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -16248245 or -16248247?\nAnswer: -16248247","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*i = 13*i - 378. Which is smaller: 24 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1591?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*w**5 - 37*w + 7*w**5 + 38*w + (w - 2*w**3 - w)*(0*w**2 - w**2 + 3*w**2))*(-6 - 10 - 3).\nAnswer: -19*w**5 - 19*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert 13202222322 (base 4) to base 8.\nAnswer: 7425272","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -8*m - 20 + 28 + 80 for m.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 0 + -1 + 2 - 3. Let a = 78 + -101. Let m = c - a. Calculate the remainder when 81 is divided by m.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -1\/2025 and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 9424, 18849, 28274, 37699, 47124?\nAnswer: 56549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -8 - -44. Let x = g - 22. Calculate the remainder when x is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -3 - -1. Let q = -3.5 - -3. What is the nearest to -1 in b, 0.4, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-5 - -7) + (1 - 1) + 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = 2*o**2 - 165*o - 232. What is the remainder when 708 is divided by z(85)?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 678 minutes after 3:41 AM?\nAnswer: 2:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 1\/3 + 5\/(-24). Suppose 3*j - 3*o - 555 = -858, -3*j - 5*o - 287 = 0. Sort 3, j, x in decreasing order.\nAnswer: 3, x, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 13 + -2. Let s be 18\/2 - (12 - b). What is the second derivative of s*l + 8*l - 10*l + 3*l**2 wrt l?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 32 + -11?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.88178 rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 31726 and 4.\nAnswer: 63452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 1.405804 kilograms?\nAnswer: 1405804000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 2, t: 2, n: 1, z: 1}. What is prob of picking 1 t and 1 n?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r - 4*x = -12, -5*r + 2*x = -0*r - 16. Suppose -s + 5*z + 252 = -359, r*s - z - 2520 = 0. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9*d**2 + 82*d - 82*d - d**2.\nAnswer: 8*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from aaffaaffaauffa. What is prob of picking 1 u and 3 a?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -253*i**2 + 12*i**3 + 37*i**3 - 48*i**3 to b*i**2 + u*i**3 + q + y*i and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put -1\/4, -0.3, -22 in increasing order.\nAnswer: -22, -0.3, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put together -52.831 and -193.11866.\nAnswer: -245.94966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.2 + 0.4. Let j = -9\/2 + 4. What is the closest to 0 in -3, j, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1520915*0.17\nAnswer: -258555.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 914 - 903. Solve -10 = z - w for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = 5*j - 10. Let u(q) = -11*q + 21. Calculate -9*l(s) - 4*u(s).\nAnswer: -s + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(320)*2 + 1 - (sqrt(320)*2 + -4)) + -5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 12\/20*-5 + -2\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = b**2 - 13*b + 5. Let t(m) = -3*m**2 + 40*m - 14. Calculate 17*f(n) + 6*t(n).\nAnswer: -n**2 + 19*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Determine n so that 3*n**3 + 91617*n**2 - 60501675*n + 9883014375 = 0.\nAnswer: -31189, 325","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -8.89 + -0.11. Let r = 8.999986 + h. What is r rounded to five dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 718?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 396 + -257. Suppose o - g = 41. Suppose -5*t + 20 = -o. Does 24 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 141 and 0.86?\nAnswer: 140.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 9569 a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from yjmabkmabma. Give prob of sequence bamb.\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 161571608 a multiple of 1460?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:38 PM and 1:30 PM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort -10, 3, 648 in descending order.\nAnswer: 648, 3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) be the first derivative of 0*d**2 + 5 - 2\/3*d**3 + d. Find the first derivative of v(c) wrt c.\nAnswer: -4*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 2488.3812 milliseconds?\nAnswer: 0.04147302","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 5187\/(-24206) + -1*101\/(-14)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -310282, -1241120, -2792510, -4964452, -7756946?\nAnswer: -11169992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 h when four letters picked without replacement from hphhhhppppppphhphhp?\nAnswer: 21\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -93, -523, -1237, -2235, -3517, -5083?\nAnswer: -6933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 10036*j + 985*j**4 - 171 - 10036*j - 76 with respect to j.\nAnswer: 3940*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 7, i: 4}. What is prob of picking 1 g and 1 i?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 9 in -2\/41, -0.1, 3, 31?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 3856894 to the power of 1\/4, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort -191, 245, 3 in decreasing order.\nAnswer: 245, 3, -191","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 22*2.313.\nAnswer: 50.886","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-9 - 5) + 31 + 10 - 44.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xc when two letters picked without replacement from {c: 1, t: 1, x: 1, r: 1, e: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u + 18 = 3*u. Let f(h) = 2*h**3 + 41*h**2 + 23*h + 22. Let d be f(-20). Let o = u - d. Is o a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -16908 divided by -6.\nAnswer: 2818","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z = z - 72. Let o = z + -7. Calculate the remainder when (-59)\/(-3) - 2*(-4)\/24 is divided by o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 644 minutes before 2:24 PM?\nAnswer: 3:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6*3\/(-27)*(-15)\/20.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4981323?\nAnswer: 3, 17, 97673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = 7*x**2 - x - 8. Let w(a) = -15*a**2 + a + 17. Let d(z) = 13*i(z) + 6*w(z). What is d(8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((i*i**(-19))\/i)\/i)**(4\/9) assuming i is positive.\nAnswer: i**(-80\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-6)\/9 + 515*2\/15. Calculate the highest common factor of 12 and i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 24 a factor of 504?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 p and 1 h when two letters picked without replacement from pwhraawhwawww?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 3882422 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = c**2 - 8*c + 2. Let p(s) = -s**2 - 7*s + 15. Let h be p(-5). Let a = h - 29. Let o(w) = w**2 + 2*w. Let n be o(a). What is l(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 2 and (6\/(-5))\/((-147)\/980).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 3\/(-18) + (3 - 2)*1\/6. Which is the fifth smallest value?  (a) 3  (b) 2  (c) w  (d) -4  (e) 199\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) be the first derivative of z**8\/2100 + z**7\/420 + z**6\/450 - z**3 + 2. Let j(i) be the third derivative of b(i). Suppose j(f) = 0. Calculate f.\nAnswer: -2, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -26416000 rounded to the nearest 1000000?\nAnswer: -26000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 = -3*x + 5*x - 4*q, -2*x + 14 = -3*q. Let s(d) = 45*d**3 - x - 11*d + d**2 + 8*d**2 + 60*d**3. Let g be s(-10). Round g to the nearest 10000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 4731601728?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -4562785 or -65?\nAnswer: -4562785","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 0.4, 2, 0.6 in descending order.\nAnswer: 3, 2, 0.6, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ziiiiizizii. Give prob of sequence iziz.\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -0.5  (b) -0.2  (c) -3\/5  (d) 7  (e) -171\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 309.14 - 269. Let x = d + -0.14. Let h = -29.6 + x. What is h rounded to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -3 and -48665.\nAnswer: 145995","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = -187*q - 12822. Give v(-70).\nAnswer: 268","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = 44*f - 448. Let k be p(12). Solve -k + 110 = 10*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.6 * 32827.471.\nAnswer: -19696.4826","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = -o**3 + 5*o**2 + 12*o + 17. Let r be q(7). Let f = 17 + -12. Suppose r*w - 4*m = 2240, f*w + 3*m = 6*m + 3715. Round w to the nearest one hundred.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = -42*d + 4. Let i be u(-2). Suppose 18 = -2*g + i. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -209 and -1658\/2595 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -27*d = -57*d - 24450. Let h = d - -8143\/10. What is the common denominator of -46\/51 and h?\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = -y**2 - 9*y - 5. What is q(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = -b**3 - 120*b**2 - 2611*b + 2470. What is m(-91)?\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 424 minutes before 12:21 AM?\nAnswer: 5:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 986 is divided by 904?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 65*v - 62*v + 10 = 2*d, -5*d = -4*v - 11 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Does 15 divide 420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = 5*x**4 - 149*x**3 + 6*x**2 + 171*x. Let c(n) = n**4 - 30*n**3 + n**2 + 34*n. Let s(a) = -11*c(a) + 2*l(a). Determine m so that s(m) = 0.\nAnswer: -1, 0, 1, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 31961743 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.3701 less than -17?\nAnswer: -16.6299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = z**2 + 4*z + 9. Suppose -4*w + 16 = -w - n, 22 = 4*w - 2*n. Suppose w = -q + 1. What is the units digit of j(q)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(6*2*sqrt(1100))**2.\nAnswer: 633600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1547 and 24089?\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g - 2*b = -194, -389 = -2*g - 5*b - 6. Does 2 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 16788?\nAnswer: 2, 3, 1399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = 4*b + 5. Determine s(-9).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -5176, -4740, -4304, -3868?\nAnswer: -3432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 724 - 454. Let u = -243 + c. Does 2 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.041 - -0.241. Let s = 3.2 + -3. Let y = -2.2 + s. What is the third smallest value in r, y, -4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -10?  (a) 0.06  (b) -332  (c) -6  (d) -3\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {d: 2, t: 3}. What is prob of sequence tdtt?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = z + 4. Suppose 2 = 2*t - 8. List the prime factors of v(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 168.6, 3\/4, -45.3, -2?\nAnswer: 168.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 12446099591 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 1\/(3\/384) + 5 + -2. Let p = w - 186. Let m = p - -59. Sort m, 0, -4, -1 in decreasing order.\nAnswer: m, 0, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5389*t**2 + 5378*t**2 - 15912*t**2 + 5381*t**2.\nAnswer: 236*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = v**3 - 4*v**2 - 7*v + 1. Give y(5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Total of -13 and 113.1771.\nAnswer: 100.1771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 2, d: 1, w: 2, l: 9}. What is prob of sequence wl?\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sum 21364 and 1717.\nAnswer: 23081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*s + 4*i + 4 - 31, -3*s + 3 = 4*i. What is the common denominator of 56\/9 and s\/144*(2664\/(-15))\/6?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 451338 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: Which is the nearest to -0.3?  (a) 2  (b) 37  (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = v**3 - 9*v**2 - 11*v + 14. Let c be q(10). Suppose 3*y + 2*y - 996 = c*p, p = y - 250. Is p\/(-2*(-1)\/(-1)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1043971?\nAnswer: 29, 35999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 60 - 298\/5. Let t = 5\/111 + 76\/777. Which is the nearest to -3\/5?  (a) t  (b) q  (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = -j**3 - 9*j**2 - 9*j - 11. Let b be x(-8). List the prime factors of 3*(-2)\/(6\/b).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -80*b**3 - 6276440*b**2 - 123224475325*b - 4673471272750 = 0. Calculate b.\nAnswer: -156835\/4, -38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 8992494 is divided by 1124054?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -160*a + 155*a - 20 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify r**16*r**(-5\/9) assuming r is positive.\nAnswer: r**(139\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*n + n - 25 = 0, n + 401 = 3*s. What is the highest common divisor of 33 and s?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = f + 13. Let s be n(-10). Let m(k) = k**3 - s*k**2 + k**3 - 2*k - k**3 - 8 + k**2. What is the tens digit of m(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 47 and -6\/5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -2.0089 rounded to 2 decimal places?\nAnswer: -2.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-2)\/(-16))\/((-4)\/(-32))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 25864214?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h\/h**(-3))**19\/(h**8*h\/h**(1\/2)))**(-25) assuming h is positive.\nAnswer: h**(-3375\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -4 (base 12) to base 4\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (0 + -3)*12\/18. Let b be (-2 + 3\/(-6))*i. Solve 0 = -g - 4 + b for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/((2\/49)\/(4*15\/(-30)*1))?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 8 - 4. Let h be (-45)\/(-2) + 6\/q. Calculate the highest common factor of 60 and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((1 + sqrt(1573) - sqrt(1573) - sqrt(1573)) + sqrt(1573))*5*-1)**2 - 5*((0 + sqrt(1573) - sqrt(1573))*-1)**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.3 in 0.2, 3\/4, -0.5, 7?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -4267.481 + -5\nAnswer: -4272.481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20 = 5*o - 0*o. Suppose -2*q = 3*q + z - 200, o*q - 159 = -z. Suppose -5 = 2*i + 3*i, -3*k + 2*i = -q. Is k a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (2\/8)\/((-9)\/16). Let g(k) = 6*k - 15. Let s be g(5). Suppose -u = i + 6, 5*i - 8*u + 4*u = s. Sort w, 3\/7, i.\nAnswer: i, w, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-10)\/(-34))\/((-5)\/(-7)*(-602)\/(-172))?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8125*v - 3*v**2 + 28106*v - 19981*v.\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:11 AM and 2:36 PM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Do 67985 and 67985 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.2 + 0.3. Let z = -35 - -36.5. Let g = z + -1. Which is the third biggest value?  (a) 0.3  (b) g  (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 6512 and 264?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 302848324 is divided by 325.\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 6 + -3. Let t(a) = 2*a + 7 - 1 + 1 - 9. What is t(h)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = -c**3 + 32*c**2 + 47*c + 79. Calculate the remainder when 1628 is divided by l(33).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s*s**16)\/s)**(-2\/7) assuming s is positive.\nAnswer: s**(-32\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {e: 1, k: 1, v: 9}. Give prob of picking 2 v and 1 k.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 333.792744 rounded to the nearest ten?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -2.13 + 2. Let s = v - -0.13. Put s, 0.1, 1 in ascending order.\nAnswer: s, 0.1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 18 divide -2*6\/(-3)*11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 35218789?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Does 27 divide 33\/(-22) - (-129)\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 68284 is divided by 8286?\nAnswer: 1996","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 2146533 to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 5*9\/(-105)*-7?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 2684 and 1012.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*v**3\/7 + 36*v**2\/7 + 102*v\/7 - 52.\nAnswer: 2*(v - 2)*(v + 7)*(v + 13)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1276 and 101471.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*u + u + 2*u + (26 - 28 - 63)*(3*u + 0*u - u).\nAnswer: -127*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {m: 11, b: 5, w: 3, u: 1}. Give prob of picking 2 w and 1 m.\nAnswer: 11\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 5267763 to the nearest integer?\nAnswer: 2295","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t + 0*t = 115. Suppose 48 = 5*l + 153. Let i = t + l. Solve 0 = 3*u + c + 7, -i*u + 7*u = -5*c - 25 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -52*-2.1\nAnswer: 109.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -11*p**2*u - 1202*p**2 - 638*p*u + 789*u + 34320 wrt p.\nAnswer: -22*p*u - 2404*p - 638*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -1 + (0 - -1 - 21). Let p(t) = -t - 2. Let a(f) = -81*f - 7. Let k(y) = 136*y + 14. Let m(o) = 5*a(o) + 3*k(o). Determine u*p(v) - 6*m(v).\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = -53*q + 16*q**2 + 20*q**2 + 48*q - 9. Does 11 divide r(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1277 is divided by 79.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*d + 4*t + 27 - 534, 0 = 5*d + 3*t - 504. Suppose -5*x = -26 - d. Calculate the remainder when x is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -34 - -172\/5. Does 1 = i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -507*f - 3 + 3.\nAnswer: -507*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 318256909 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 304857 and 1854657?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 543 minutes before 1:19 AM?\nAnswer: 4:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -1040 - 143411?\nAnswer: -200001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = -9. Let v(l) = -l**2 - 29. Let k(z) = 7*d(z) - 2*v(z). Let g(y) = 2*y**2. Determine g(k(x)).\nAnswer: 8*x**4 - 40*x**2 + 50","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -7 - -15. Let o = 11 - r. Let q = -1\/12 - 5\/12. Which is greater: o or q?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.28 plus -300?\nAnswer: -300.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = r**3 - 5*r**2 + 5*r - 3. Let d be i(4). Let q be (4\/(-8))\/(d\/(-8)). Let l(y) = 18*y. What is the tens digit of l(q)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = 2*z**3 - 2*z + 1 - 9*z**3 + z**2 - 3*z**3. Suppose 2*l = 7*l - 5*i - 5, -2*i + 2 = 2*l. Determine u(l).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8114 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 10111000111111100011100101 - -1?\nAnswer: 10111000111111100011100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (4\/((-16)\/(-212)))\/1. Let d = q + -51. Let a(h) = -31 - 2*h**d + h**3 - 2*h + 0*h**2 + 30. What is a(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a = 4*a + 257. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-f**3 - 2*f + 2*f)*(3 - 4 - 1)*(-2*f**2 - 5*f**2 - f**2).\nAnswer: -16*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -91\/72 and 61\/180?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -78 - 5 - (768 - 920)\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(245)*2 + sqrt(245) - sqrt(245) - sqrt(245)) + sqrt(245) + -3 + (sqrt(720) - (3 + (sqrt(720) + -1 - sqrt(720)))) + -2)*3)**2.\nAnswer: -3276*sqrt(5) + 30861","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: ((-478648)\/(-38))\/(-67)*2*1\/8\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/7 in 2\/5, 891\/4, -0.3, 2\/13, -1\/70?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 1602 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -6631 + 4?\nAnswer: -6624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 3 + 1)*(30 - 196 - 80)*(0*i**2 + 0*i**2 - i**3).\nAnswer: -492*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 46982064 and 2624?\nAnswer: 656","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Factor 71*i - 2 + 72 - 1886*i**2 + 1887*i**2.\nAnswer: (i + 1)*(i + 70)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - h**2 - 2)*(-20 + 20 - 13*h**2).\nAnswer: 13*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 9173, 36676, 82487, 146582, 228937, 329528, 448331?\n\"Answer: -4*u**3 + 9178*u**2 - 3*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) be the first derivative of g**2\/2 - g - 18. Let m(y) = y + 3. Let a(n) = 4*f(n) - 2*m(n). What is the derivative of a(v) wrt v?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11052 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -80 + 43 + 39 - (-7 - -3).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o - 3 = -0*c + 3*c, -3*c = 3*o + 27. Sort 0, 4, o in decreasing order.\nAnswer: 4, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = -2*y + 5. Let b(p) = -13*p + 20. Let r(c) = b(c) - 4*k(c). Let d(l) = 157*l**2. Calculate r(d(f)).\nAnswer: -785*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve t - 3 = -0*p - 4*p, -27 = -p + 5*t for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b - 63 = -f, 4*f - 5*b - 300 = -f. Suppose 4*w - f = 5*l, 2*w + 8 = 3*w + l. List the prime factors of w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 103\/4332 and -59\/204?\nAnswer: 73644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 6\/(-14) - 9204\/1652.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = -v. Let p be r(-2). Suppose -3*f - 1 + 11 = -2*w, -5*f + 22 = -p*w. Let j(z) = -11*z. Calculate the remainder when j(-1) is divided by f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -233 less than or equal to -467\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 142*c**2*y + c + 13*y + 1 wrt c?\nAnswer: 284*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 147*n = 145*n + 112. What is the greatest common factor of 553 and n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 78, 234, 388, 540, 690, 838?\n\"Answer: -w**2 + 159*w - 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 15906 and 66?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 23684 smaller than 23726?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = 2*p**2 - 5. Let v be d(5). Let g be 26\/v + 8\/(-60). Sort g, 5, 0.2 in decreasing order.\nAnswer: 5, g, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3110200 (base 4) in base 11?\nAnswer: -a244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express (r**2 - 1 + 1)*(0 - 1 + 0) + 4*r + 8*r**2 - 4*r as v*r + w*r**2 + a and give w.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1.82396 + 216.84204. Let v = t + -219. Let r = -0.38 - v. What is r rounded to two decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -5 + 3a?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = 20*k**2 - 6*k - 55. What is d(-2)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10*w + 2*w - 2*b = -8*w + 4, -5*w = -18*b - 51 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -127144*i**5 - 54*i**2 - 194*i - 2 wrt i?\nAnswer: -7628640*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 445 minutes after 1:25 PM?\nAnswer: 8:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) be the second derivative of -1\/50*j**5 - 1\/150*j**6 + 0*j**2 + 0 + 4*j + 0*j**4 + 0*j**3. Let c(d) = 0. What is d?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 18 a factor of 306?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22 + 10 = 4*o. Suppose o*r + 2 = 7*r. Which is bigger: r or -12\/11?\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 5\/(15\/(-24))*(-4230)\/(-12). What is n rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-2)\/((-4)\/(-6))*83734\/(-42) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1799955 a multiple of 249?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3250471 is divided by 498?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 s and 1 b when three letters picked without replacement from kyhhssbkyhhskk.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 4704074 a multiple of 501?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (4\/6)\/((-2)\/3). Suppose -17 = 5*o - 27. Suppose j + o = -0*j. Sort -5, s, j, -3 in ascending order.\nAnswer: -5, -3, j, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is 620 minutes after 10:42 PM?\nAnswer: 9:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -3975241 rounded to the nearest 100000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {q: 4}. Give prob of sequence qqqq.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 321 is divided by 43?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 5, 1\/4, -0.5, -747855?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 g, 1 e, and 1 a when three letters picked without replacement from jhgaeca.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 0.4 and -4180115?\nAnswer: 4180115.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:55 PM and 11:27 PM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {r: 2, g: 7, m: 3, c: 3}. Give prob of picking 1 g and 2 c.\nAnswer: 3\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k*k\/k**8*k)\/(k\/(k**(2\/3)*k)))\/(k**(-3)\/(k**(1\/6)*k))*k**8\/(k\/k**(-2\/21))*(k**0)**(8\/3) assuming k is positive.\nAnswer: k**(283\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 51 and 153.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g**(-4)*g)\/(g\/(g*g**8\/g)))**(-1\/24) assuming g is positive.\nAnswer: g**(-1\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-5)\/15*3*3. Let c = 22 - 26. Let n be ((-13)\/5 + 1)*10\/c. Sort n, 3, v in descending order.\nAnswer: n, 3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 17052411?\nAnswer: 3, 17, 239, 1399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p = -2*q + 8, 15 - 3 = 3*q - 2*p. Suppose -4*a - 5 = -1, -5*h + 21 = q*a. Suppose 4*y - 288 = 4*w, 4*w + 92 = h*y - 265. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 31840 + 0.5\nAnswer: 31840.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 84 + -83.9605. Round s to 2 dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.2582 + -0.2982. Which is the fourth biggest value?  (a) 15\/7  (b) -4  (c) -2\/11  (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -132, -225, -298, -357, -408, -457, -510?\nAnswer: -573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = -2*n**2 + 7*n - 4. Give u(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 667 is divided by 222?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (2\/3)\/(-299 - -301). Let i(h) be the third derivative of 5*h**2 - k*h**4 + 0*h - 1\/2*h**3 + 0. Differentiate i(v) wrt v.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 12*g**5 + 19*g**5 - 26*g**5 + (-g**3 + 0*g**3 + 2*g**3)*(10 - 10 + 3*g**2).\nAnswer: 8*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = 0*q**2 - 2*q**2 - 14 + 13. Give a(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify u**(-5\/3)\/u**9 assuming u is positive.\nAnswer: u**(-32\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Add together -0.1 and 15444803.\nAnswer: 15444802.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ogggoggoogg. What is prob of sequence ogg?\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (76\/95)\/(-2*2\/10)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 732\/(-90) + 8 + (-162)\/45*(-8)\/6?\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: (-3)\/(-14)*(2 - (30\/12 + 3))\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -6 + 12 - (11 - (2 - (2 + -3)))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let 5*b**2 - 55*b - 60 = 0. Calculate b.\nAnswer: -1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = 3*u**2 + 6*u - 19. Suppose -2*f - 5*f = 336. Let n = f - -43. What is the tens digit of h(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4 + 2*o**2 + 4 + (-2*o + 2*o + 4*o - 2*o - 2 + 2 + (3 - 5 + 4)*(o + 5*o - 4*o))*((-2 - 1 + 2)*(71*o - 19*o + 2*o) + 0 - o + 0).\nAnswer: -328*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in b**2 - 5*b**2 - 4*b**2 + 3*b**2.\nAnswer: -5*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m**(3\/5)*m**5)\/(m\/m**(2\/9)*m**6))**(15\/4) assuming m is positive.\nAnswer: m**(-53\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand 95 - 55*d**2 - 185 + 93 + 2*d**2 + d**2 - 2*d**2 - 2 + d**2 + 2 + (3*d - 5*d + 3*d)*(1 + 2*d - 1) + 5*d**2 - 2*d**2 - 2*d**2.\nAnswer: -50*d**2 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-100)\/(-5))\/5 + -3. Put -24, t, -3 in ascending order.\nAnswer: -24, -3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*n**2 + 0*n**2 + 2*n**2 + (-4*n - 2*n + 5*n)*(-5*n + 4*n + 0*n))*(n**3 - 3*n**3 + 3*n**3) - 32*n**5 - 31*n**5 - 42*n**5.\nAnswer: -102*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -2492 divided by -2\nAnswer: 1246","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:00 PM and 12:01 AM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 39 = -5*f + f + c, f = -5*c - 15. What is the third biggest value in -40, 0.1, 4, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u*u\/u**(-2\/3)*u**(-1\/2))\/(u**6*u*u*u**(2\/9)) assuming u is positive.\nAnswer: u**(-109\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Product of 3 and 7.4064.\nAnswer: 22.2192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -154 - -0.9?\nAnswer: -153.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1847, -7607, -17335, -31037, -48719?\nAnswer: -70387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 1438 + (-22)\/33*(-6)\/4 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*a - 27*a + 972689 = -1752105. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) be the first derivative of 8*b**6\/15 - 24*b**5\/25 - 23*b**4\/20 + b**3 - b**2\/5 + 82. What is w in f(w) = 0?\nAnswer: -1, 0, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 6000 and 30620250.\nAnswer: 244962000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = q**2 + 156*q - 313. Let g be n(-158). Solve -3 = g*l + 3*f, 4*f = -81 + 97 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*q - 5 = -d, 0 = 10*q - 5*q + 3*d - 5 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + sqrt(242) + -1*sqrt(242) + 0)**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -26892072 or -295812796\/11?\nAnswer: -295812796\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 6 and 51?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = -a**3 - 2*a**2 + 16*a - 8. Give z(-5).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 121 = 4*q - 135. What is the least common multiple of q and 22?\nAnswer: 704","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of ((-50385)\/25)\/(0 + 0 - (-4)\/(-60)).\nAnswer: 3, 3359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 2 - -210130312220?\nAnswer: 210130312222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.3?  (a) -178  (b) -6  (c) 2\/9  (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-24*16\/1152)\/(-2*1\/102).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 83 - 83 + 12*i**2 - 1 + 1 - 2*i**2 + (1 - 2 - 1)*(4 + 2*i**2 - 4) + 3*i**2 - 5*i**2 + 0*i**2.\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00001742981 to 7 dps.\nAnswer: -0.0000174","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = -102*x**3 + 2*x**2 - 13*x + 18. Let q(p) = 307*p**3 - 6*p**2 + 37*p - 52. Let z(v) = 6*q(v) + 17*w(v). List the prime factors of z(2).\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(272)\/sqrt(8))\/sqrt(2) - (4 + sqrt(272)))*-6)**2.\nAnswer: 864*sqrt(17) + 6084","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.01 + -0.08. Let q = s - 0. Let a = q - -11.09. Sort a, -4, 3\/8.\nAnswer: -4, 3\/8, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2*x + 3 + x - 11*x**2 + x**3 - 3*x**2 wrt x?\nAnswer: 6*x - 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t**3\/7 - 1488*t**2\/7 - 78356*t\/7 - 150792\/7 = 0. Calculate t.\nAnswer: -309, -61, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-208 - 44 - 49 - 416 - 320)*(9 - 10 + 12)*(-2*n + 0*n + 5*n).\nAnswer: -34221*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 143996081 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = 352086*k - 64. Suppose 5*w - 80 = -2*d + 40, 3*w - 5*d = 72. Let y be u(w). What is y rounded to the nearest one million?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.02857 * -1.\nAnswer: 0.02857","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = -4*y**2. Let h(w) be the second derivative of 42*w**3 - 1361*w. What is v(h(s))?\nAnswer: -254016*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1.24 - 1.17. Let m = -0.0517 - 2.0183. Let t = o + m. What is the second smallest value in t, 5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*b - 164 = -0*b + 4*t, 0 = -5*t - 25. Let s = -3 + 12. What is the greatest common divisor of s and b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 309 and 0 - -9 - ((-180)\/(-36) - -3)?\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -17 + 17.11. Let x = -0.51 + h. Let m = -0.1 - -0.1. Are x and m non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 0 - ((-16)\/20 - -1). Which is the third biggest value?  (a) 0  (b) d  (c) -3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -5525 + 5525.4. Suppose -11 = 5*p + 4. Which is the second biggest value?  (a) z  (b) -6  (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -75*m - 4*m - 237 = 0. Sort m, 5, 240 in decreasing order.\nAnswer: 240, 5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 86 is divided by 4\/(-46) + (-101421)\/(-4393).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 13 - 507467?\nAnswer: -507454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -464.02 + 464. Let m be (3 + (-7)\/3)*(-105)\/28. Which is the biggest value?  (a) 0.2  (b) 1\/4  (c) m  (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 208 is divided by 35?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 16 and 152184.\nAnswer: 304368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1219 + 1218.7. Put -71, -4, g in decreasing order.\nAnswer: g, -4, -71","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 1 + 6*q)*(-3*q**2 + 6*q**2 - 2*q**2) - 3*q**3 + q**3 + 3*q**3.\nAnswer: 7*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 4.5 - 4.50000145. What is x rounded to seven decimal places?\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = f**3 + 3*f**2 - 4*f + 2. Let t be k(-4). Suppose -4*r = -q - 0*q + 5, 3*q + 5*r + t = 0. Solve 0 = -s + n - 9, -4*n + 0 + q = 3*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*u + 9 = 3*u. Let j = -1 - u. Suppose 5*p - 3*v + 15 = 0, -p - v - 5 = -2*v. Which is smaller: p or j?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 93653 and 133790?\nAnswer: 936530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {u: 7, b: 4, z: 2, v: 1, j: 2}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3\/7*i**2 + 3\/7*i + 0.\nAnswer: -3*i*(i - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -9 - -11. Suppose -5*y + 37 = i*d, -3*d - y + 43 = 4*y. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -118, -482, -1080, -1906, -2954?\n\"Answer: w**3 - 123*w**2 - 2*w + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 6\/7?  (a) 2\/145  (b) -1  (c) -1.748\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor -22440*g**2 + 4 + 20*g + 4 - 4*g**4 + 22452*g**2 - 4*g**3.\nAnswer: -4*(g - 2)*(g + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n - 9*n + 14 = 0. What is the greatest common factor of n and 29?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -31686 + 31686 + 2*f**3 - 5*f**3.\nAnswer: -3*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 322, 311, 292, 265, 230, 187, 136?\n\"Answer: -4*o**2 + o + 325","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.16 - 1.04. Let p = z + 0.8. What is the second biggest value in -5, -1\/3, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1.5 - 30567763.\nAnswer: -30567761.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put -323, 0, 31, -11 in increasing order.\nAnswer: -323, -11, 0, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -4*(-15)\/(-50)*35\/7?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 19 - 12. Suppose q*z + 25 = 6*z. Let c = z - -27. Solve c*f - 3*f + 2 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*r + 4 + 12 = 0. Let k(m) = m**3 - 4*m**2 + 2*m - 4. What is the least common multiple of k(r) and 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*d**3 + 184275*d**2 - 552882*d - 1842840.\nAnswer: 3*(d - 5)*(d + 2)*(d + 61428)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Does 21 divide 5273352?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25*u + 27*u = 12. Suppose -7*s + 14 = -u*s. Suppose 4 = 3*k - s. Is k a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = 12*c**3 + 6*c**2 + 29*c + 6. Let d(w) = 23*w**3 + 13*w**2 + 59*w + 13. Let t(q) = -6*d(q) + 13*h(q). Find the second derivative of t(m) wrt m.\nAnswer: 108*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3299081 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**(4\/7)*u**4)\/(u**(-2\/7)*u)**3 assuming u is positive.\nAnswer: u**(17\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = -9*u. Let p be b(4). What is p rounded to the nearest one hundred?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-2)\/(-12) - 10\/(-84). Which is the closest to y?  (a) 1\/4  (b) -5\/3  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -19652 - -19756. What is the remainder when 352 is divided by t?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-540)\/(-1800)*25\/(-9)?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = -15*a**5 - 2*a**2 - 16*a - 2. Let s(h) = 16*h**5 + 3*h**2 + 16*h + 3. Let t(o) = 3*m(o) + 2*s(o). What is the second derivative of t(v) wrt v?\nAnswer: -260*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 5, 4, 0.3, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 z and 1 f when three letters picked without replacement from zwfzwzzwzzrzwzzzw.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 193413 and 9.\nAnswer: 580239","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = -k + 11. Suppose 4*r = -5*p + 50, -51*p + 30 = 4*r - 56*p. Determine n(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 49\/2*(1 + 1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 h, 1 a, and 1 q when three letters picked without replacement from {r: 1, a: 1, q: 2, h: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1.86 in -1\/2, 0.4, 4, 57\/13, 74?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) be the third derivative of -5\/6*a**3 + 0*a - 1\/6*a**5 - 3\/8*a**4 + 1\/120*a**6 + 144*a**2 + 0. Give w(11).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = -2*w**3 + 2*w + 28. Let n be l(0). Suppose -3*y + n*j = 27*j - 15, 3*j - 27 = -3*y. Solve y*v = a + v + 14, 0 = -2*a + 3*v - 14 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {j: 1, z: 4, y: 1, v: 1, x: 6}. Give prob of sequence zy.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 517672221*z**4 + 345236884*z.\nAnswer: 6212066652*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 6 - (-161)\/(-28) - (0 - 958\/8). Solve 15*v + h = -9*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = 22*m - 118. Give t(8).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -36038 divided by -37\nAnswer: 974","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find j, given that 992 + 6*j**2 - 992 - 9*j**3 = 0.\nAnswer: 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y + 5*s = 10, 4*y + 0*s = 2*s + 14. Suppose 260 = 2*v + y*v. What is the remainder when v is divided by 28?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w = 2*a + 10 + 10, -2*w + 49 = -5*a. Let z = -9 - a. What is the units digit of (-11 - -59) + (z - 1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 3.064956ng?\nAnswer: 0.003064956","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h - 2293 = -3*j, 5724 = 11*h - 6*h - j. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = z**3 - 6*z**2 - 4*z + 9. Let u be x(3). Let o be 910\/75 + 4\/u. Solve -o = h + 3*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 20916.\nAnswer: 2, 3, 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 6151660943 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 9 + -9. Suppose o*y - 2*y = 10, -5*y = 3*g - 53. List the prime factors of g.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4718 is divided by 1549.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -23 + 0 - (-63 + -1 + -41)?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (1 - 3)*(3 - (1 + 0)). Let r = 8 + h. Solve -r*d = 5*y + 12 + 3, 2*d + 12 = 2*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 316 = -507*m - 191 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*o = -4*l + l + 49, 5*o + 2*l - 46 = 0. Let a(b) = b**2 - 8*b + 6. Let p be a(o). Suppose 16 - p = q. Solve v = -v + q for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = 3*d**2 - 1. Let m(t) = -t**2 - t - 1. Let f be m(0). Let p be b(f). Solve -4*a = 16, -p*a - a = 2*h + 4 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -13 - -8. Let s(w) = -3*w**3 - 3*w**2 - 3*w. Let r(d) = -6*d**3 - 5*d**2 - 5*d. Calculate t*s(p) + 3*r(p).\nAnswer: -3*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -7 + 10. Let k = -0.28 + 0.38. Which is the third smallest value?  (a) 1\/2  (b) k  (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 1715463 and 432?\nAnswer: 82342224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*x - 38 = 184. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-16)\/56)\/((-2)\/(-6)). Which is the third smallest value?  (a) -3\/4  (b) f  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -6*k - 4*k. Suppose k = 5*t - 27 + 17. Let j(h) = -2*h**3 - 2*h**2 + h - 1. Give j(t).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1080, 1, -10, -11 in decreasing order.\nAnswer: 1080, 1, -10, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let 4*r**4 + 32776*r**3 + 719300*r**2 + 1340288*r + 653760 = 0. What is r?\nAnswer: -8172, -20, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -39 = 3*j - 324. Suppose -5*z - 4*s - 156 - 135 = 0, -296 = 5*z - s. Let h = j + z. Does 18 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 49 in -0.02, 3, 0.2, 4, -0.3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*((0 + 4 + sqrt(2))**2 + 3)*6.\nAnswer: 240*sqrt(2) + 630","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (1\/(5\/30))\/((-3)\/34). Let k = -67 - v. Put -4\/3, 4, 3, k in increasing order.\nAnswer: -4\/3, k, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 3.8, 1, -4, -1\/3, 0.06, 1\/5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) be the first derivative of 46*x**2 - 2*x + 43. Let d be f(4). Let l = d - 22. Does 43 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-4)\/(-2) + -3)*0. Suppose 5*i + 2*g + 9 = w, 9*i - 4*i + 3 = -4*g. Which is the nearest to -0.2?  (a) 4  (b) -1\/4  (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -37\/17111415 and -74\/30800547?\nAnswer: 154002735","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (4 - 1) + (-3 - (-48)\/8). Is l < 23\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (6\/(-4))\/(21\/(-7406)). Suppose 0 = y + 4*y - 3*u - 537, 5*y - u = q. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -12798250, -51192863, -115183884, -204771313, -319955150, -460735395, -627112048?\n\"Answer: -12798204*p**2 - p - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 249 - 34 = 60*v + 30*v - 55 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3171*a + 3248*a - 1155 = 0 for a.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -1\/3  (b) 0.3  (c) 386  (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15 = -3*k + 75. Suppose -7 = -2*s + c + 3, 5*s - 5*c = k. Calculate the highest common factor of 2 and s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-m - 1 + 1)*(-6 + 2 + 2) - 2*m + 3*m + m + 358 - 72*m - 358)*(-6 - 15 - 31).\nAnswer: 3536*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 45639*h**3*i**3*o**2 - 37*h**3*i**3*o - 28*h**3*o + 960*h**2*i*o**2 - 208*i**2*o wrt i.\nAnswer: 273834*h**3*o**2 - 222*h**3*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-36)\/(-24))\/((-4)\/(-8)). Let t*n**3 + 7\/3*n**4 + 2 - 11*n**2 + 11\/3*n = 0. What is n?\nAnswer: -3, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = -3*q**2. Let f(b) = b + 32*b - 18*b + 22*b. Determine o(f(h)).\nAnswer: -4107*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -14 + 2. Let p = -8 - d. Calculate the greatest common factor of p and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 32083904, 32083903, 32083902, 32083901, 32083900, 32083899?\nAnswer: 32083898","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-22)\/(-121) - (-581)\/11. Suppose -4915 = -58*c + q*c. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = -h**3 + 7*h**2 - 5*h - 3. Let m be w(6). Let t(k) = -65*k - 714. Let j be t(-11). Solve -4*v = -2*d - d - j, 2*v - m = d for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -42103\/5 and -8421 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor 18*r**4\/7 + 22*r**3 + 414*r**2\/7 + 270*r\/7 - 216\/7.\nAnswer: 2*(r + 3)**3*(9*r - 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 910569969?\nAnswer: 3, 2777, 36433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from mhhaanahnn. Give prob of picking 1 a and 1 h.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:31 AM and 9:07 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a + 120 = a. Suppose -4*g + a = -0*g. Suppose -3*t = -4*t + g. Is t a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence lk when two letters picked without replacement from kkkklklllkkllkllkklk.\nAnswer: 99\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 166705331 is divided by 95?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 95*o**2 + 333*o**2 - 135*o**2 + 13*o**2.\nAnswer: 306*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 1 (base 14) to base 16\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 9.05615 litres?\nAnswer: 9056.15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**(-2\/3)\/r*r*r)**5 assuming r is positive.\nAnswer: r**(5\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 20011 - -101121010100?\nAnswer: 101121100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 8444033 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 67\/1550 and 43\/108500.\nAnswer: 108500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 3188 and 4.\nAnswer: 3188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {c: 2, u: 1, f: 2}. Give prob of picking 1 u and 1 c.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y - 16 = 3*n - 2, -3*y = 5*n + 2. Let i = -408 - -412. Suppose -3*z + v = i*v, n*z = -v + 2. Solve 0 = -z*k - 5*p - 4 - 6, -4*p - 31 = -3*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 69080980?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l be -3 + 12*(-5)\/(-20). Suppose l = 6*t - 1261 - 809. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = -8*v + 14. Let d(b) = -5*b. Determine h(d(f)).\nAnswer: 40*f + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 75228 is divided by 908?\nAnswer: 772","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-104)\/(-1) - (5 + -6). Let f = j - -26. Suppose 5*b + 56 = f. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1614 - 1290. What is the greatest common divisor of i and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 74404 - -0.2\nAnswer: 74404.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2*k**5 - 4*k**4 + 87*k**2?\nAnswer: 120*k**2 - 96*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (10\/(-20))\/((-2)\/(-2))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 10055 - -251?\nAnswer: 10350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v**1*v)**(-8\/5)*(v*v**(-1\/2)*v)**(2\/89))\/((v*v**(-2\/11))\/v*v\/(v**2*v))**25 assuming v is positive.\nAnswer: v**(251501\/4895)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + 0 - 1)*(w**3 - 3*w**3 + 0*w**3)*(-3*w**2 + 0*w**2 + 7*w**2) + (-56 + 56 + 7*w**3)*(0*w**2 - 2*w**2 - w**2).\nAnswer: -37*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (168*f + 4283 + 4280 - 8562)*(-1 + 0 - 1) to c + z*f and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -9 - -7. Let p = -17429\/11284 - -11\/434. Calculate the common denominator of p and 2*o - (-585)\/110.\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f + 5*v = -8, f = -f - 2*v + 16. Suppose -5*w = -31 + f. Let u(s) = s - 2. Calculate u(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 247 and 7?\nAnswer: 1729","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m**(-1))**27*((m**(-1)*m)\/m)\/(m**(-3)*m) assuming m is positive.\nAnswer: m**(-26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -13*s**5 - 1379*s**4 + 2*s**2 + 151*s + 88 wrt s.\nAnswer: -260*s**3 - 16548*s**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert -5b53f (base 16) to base 14.\nAnswer: -9a47d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 + 8 = 3*l. Suppose 3*b - l*p - 10 = 21, 63 = 5*b + 3*p. Calculate the highest common factor of 36 and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 4\/18 - (-5670002)\/(-9). What is z rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 110503 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -31*y + 28*y + 2*n - 10 = 0, 0 = -2*n + 10 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = -4*q**3 + 5*q**2 + 61*q - 17. What is the remainder when 365 is divided by k(-4)?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -82, -143, -204, -265, -326, -387?\n\"Answer: -61*g - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put -36, 452, 3, -5 in decreasing order.\nAnswer: 452, 3, -5, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1825 and 50?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2\/(-18)*8\/((-168)\/(-63)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -201 + 281 = 5*g. Solve 0 = 5*v - o - 0*o - 8, 0 = v - 5*o - g for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of 11.8 and -6489.\nAnswer: -6477.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -17832611.3999987 + 17832610. Let x = 16.58 - 17.98. Let d = x - f. Round d to six dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1453684241 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -144563, -144897, -145231, -145565, -145899, -146233?\nAnswer: -146567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -361 - -425. Calculate the greatest common divisor of b and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:19 AM and 6:21 PM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 568028?\nAnswer: 2, 142007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 18*a + 223*a - 56*a + 7*a**2.\nAnswer: 7*a**2 + 185*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -121, -9, 1040, 4.\nAnswer: -121, -9, 0, 4, 1040","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 310555 to the power of 1\/3, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 41 + 141. Let h = -182.91 + w. What is h rounded to 1 dp?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-39)\/286*-11*((-8)\/(-156) + 6\/9).\nAnswer: 14\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = -18*u. Let s be g(-1). Suppose 0 = -4*k - c - 2*c + s, -k + c + 1 = 0. What is the remainder when 7 is divided by k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = -q**2 - 8*q - 9. What is i(-7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = 2*s - 1. What is the second derivative of -4*j - 2*j**3 + 2*j - s*j wrt j?\nAnswer: -12*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*c**4 + 34*c**3 - 162*c**2 + 14*c + 980.\nAnswer: -2*(c - 7)**2*(c - 5)*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = g - 16. Let i be n(7). Suppose 3 - 13 = 5*t. Let u be i*t\/(-6)*-1. Solve 0 = u*l - l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -6*j*w**3 + 3*j*w**2 + 12793158*j*w + 11277*w**3 - 3*w**2 wrt w?\nAnswer: -36*j*w + 6*j + 67662*w - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 133 and 1064?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = c + 6. Let m(l) = -l**2 + 2*l - 1. Let q be m(3). Let t = 1179792 + -1179790. What is the remainder when t is divided by x(q)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -165 divided by 1?\nAnswer: -165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 141*b**2 + 31*b**2 + 2 + 19*b**2.\nAnswer: 191*b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2*873\/18)\/(4\/40*-10).\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000016838 to 7 decimal places.\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (3\/51)\/((-70)\/1295). Let v = -62\/17 + 52\/17. Let s = i - v. What is the biggest value in -4\/5, s, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = -3*u + 4*n, -5*n = -0*u - 2*u + 4. Let h be u + 4 + 1 + 12. Factor -h*f**5 + 2*f**5 - f**4 + 2*f**5 + f**2 + 6*f**5 - f**3.\nAnswer: f**2*(f - 1)**2*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 191477, 191485, 191495, 191507, 191521, 191537?\nAnswer: 191555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ggvggigggggvigi. What is prob of picking 1 v, 1 i, and 2 g?\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = 11*r - 29*r + 4*r**2 + 6*r + 17*r + 4 - r**3. Calculate the remainder when 44 is divided by c(3).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1 - -1.2. Suppose -i - 2 = 5*q, 0 = -2*i + q + 7 + 11. Let s be 5\/((-25)\/i) + 2. Sort 1\/6, s, p in ascending order.\nAnswer: 1\/6, p, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -361\/13 + 3223\/117. Let k = 3.2 + -9.2. What is the nearest to 0.3 in 0, k, f?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.58 - -0.08. Let h be (1 - (-51)\/(-20)) + 3\/4. Which is the third smallest value?  (a) z  (b) h  (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = -60*d**3 - 275*d**2 - 1505*d - 2200. Let k(g) = -49*g**3 - 275*g**2 - 1507*g - 2201. Let s(f) = 5*k(f) - 4*l(f). Let s(r) = 0. What is r?\nAnswer: -49, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9901 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 1, p: 8, a: 5, s: 1, i: 2}. What is prob of picking 1 p and 1 s?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) be the third derivative of q**4\/3 - 125*q**3\/6 + 49*q**2. Let b be t(15). Let g(d) = -d**3 - 5*d**2 - 8. Calculate g(b).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = 3*z**2 - 12*z + 15. Let v be j(6). What is the greatest common factor of 799 and v?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -62, -4, -0.5, -8\/9, 1, 0.2, -1\/4?\nAnswer: -62","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.16 - 0.34. Which is the third smallest value?  (a) 2\/3  (b) -1  (c) o  (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.329 - 24.671. Let p = -503991 - -503966.00015. Let u = p - i. Round u to four decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -478 - -470. List the prime factors of (-36)\/q*(-336)\/(-12).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -20412\/19 at most as big as -1074?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) be the third derivative of z**7\/105 + 13*z**6\/60 + 3*z**5\/5 - 40*z**4\/3 + 128*z**3\/3 + 52*z**2 - z. Determine t, given that c(t) = 0.\nAnswer: -8, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.8878812 grams in milligrams?\nAnswer: 887.8812","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o = o + 4*p, o - 5 = -3*p. Suppose 3*w - o*w + 49 = -5*z, 0 = -2*z - w - 22. Let j be -1*(2 + 1 + 1). Sort -5, z, j in increasing order.\nAnswer: z, -5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of o**3*t**3 + 13*o**3*t**2 + 7817*o**3 + 10973*o**2*t**2 + 58*t**3 wrt o.\nAnswer: 6*t**3 + 78*t**2 + 46902","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 715 minutes after 5:24 PM?\nAnswer: 5:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = -187*z + 7 + 583*z - 183*z - 190*z - 2*z**2. Determine k(13).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -7, 3, -0.3, -1, 0.2, -92.\nAnswer: -92, -7, -1, -0.3, 0.2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n = 3*h + 169, 4*n - 86 = 3*n + h. List the prime factors of n.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1722 + 0.1\nAnswer: -1721.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 54*u**4\/13 - 310*u**3\/13 + 186*u**2\/13 + 70*u\/13 = 0.\nAnswer: -7\/27, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -40293*h + 40294*h = 1588. Calculate the remainder when h is divided by 75.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -54*r - 9385*r - 108 + 108 in the form a*r + h and give a.\nAnswer: -9439","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -49, -64, -39, 44, 203?\n\"Answer: 3*l**3 + 2*l**2 - 42*l - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 20775 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 19, 29, 53, 97, 167?\n\"Answer: f**3 + f**2 + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w + 5 = -0*j + 3*j, 0 = -4*j - 4. Let a be ((-8)\/(-14))\/(w\/28). Suppose u - 1 = -a*g + g, 0 = 2*u + 5*g + 1. Solve 0 = -u*c - 2*c - 16 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 1\/4, 0.3, 0.027, 1?\nAnswer: 0.027","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = 12*d**3 - 11*d**2 + 9*d + 11. Let y(s) = s**3 - s**2 + s + 1. Let r be ((-25)\/(-10))\/((-10)\/(-8)). What is r*n(i) - 22*y(i)?\nAnswer: 2*i**3 - 4*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 4154\/5 - 831. What is the closest to -1\/4 in b, 3, 4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = 4*f - 4*f - 3*f. Let p(s) = -13*s. Let a be (16\/(-3) + 4)*3. Let q(m) = a*p(m) + 18*k(m). Let n(l) = -l. What is q(n(h))?\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 3079 - 3079. Let z(o) be the second derivative of -5\/3*o**3 - 15\/2*o**2 + 12*o + a. What is the derivative of z(w) wrt w?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4862 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000381734 rounded to six decimal places?\nAnswer: 0.000038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = -k**2 - 16*k + 172. Let a = -20203 + 20180. What is q(a)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from kkkkkkk. Give prob of sequence kkkk.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = -2*a - 50. Let j be r(-27). Let i be (-5)\/(-1 + (0 - 0)). Solve g - i*g - j = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -m**3\/7 + 54*m**2\/7 - 729*m\/7.\nAnswer: -m*(m - 27)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-29)\/(19778\/(-110))*288\/240.\nAnswer: 6\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:52 PM and 3:30 PM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = -r**2 + 13*r - 7. Let z be a(7). Let n = 87 - z. Find the third derivative of -21*i**2 + n - 52 - 9*i**5 wrt i.\nAnswer: -540*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 6\/9 + 141\/(-9). Let s = 8 - 3. Is 6\/s*p\/(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -625024 (base 11) to base 14\nAnswer: -1c1389","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6046400?\nAnswer: 2, 5, 3779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 489878 is divided by 47.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 576 minutes before 1:29 AM?\nAnswer: 3:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 6425023 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 596 minutes after 1:58 AM?\nAnswer: 11:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v\/(v*v*v**(-4\/3)))\/v*v\/v**(-29)*v*v\/((v\/(v**(1\/38)\/v*v))\/v)*v*v*v*v**(2\/29)*v assuming v is positive.\nAnswer: v**(117127\/3306)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 386 minutes before 12:20 PM?\nAnswer: 5:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-12)\/15*((-10)\/(-4))\/5.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) be the third derivative of 3*s**8\/112 - 11*s**5\/60 - 5*s**2. Find the third derivative of m(b) wrt b.\nAnswer: 540*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -144*g - 627 + 2406 = -2161 + 484 for g.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.59 and -570.\nAnswer: 336.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -25 - -21. Let r = -5 - 6. What is the smallest value in r, -3, d?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i**3 - 83878*i**2 + 586265280*i + 390880800 = 0. Calculate i.\nAnswer: -2\/3, 13980","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -140313 + 199664. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) be the second derivative of 1\/40*o**5 - 1\/12*o**4 - 1\/4*o**3 - o + 0*o**2 - 14. Find x such that k(x) = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 180 a factor of 3976020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) be the third derivative of 25*x**2 - 1\/84*x**8 + 0*x - 2\/15*x**5 + 2\/35*x**7 - 2\/3*x**3 - 1\/15*x**6 + 2 + 1\/2*x**4. Determine s so that l(s) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 810*z - 1626*z + 815*z.\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1046857 (base 11) to base 3.\nAnswer: 10110102211100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 2581, 12018, 30867, 61684, 107025, 169446?\n\"Answer: 426*w**3 + 2150*w**2 + 5*w","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express -15444*g + 3*g**2 + 511 + 15442*g + 3*g**3 - 3*g**2 as k*g**2 + p*g**3 + b*g + r and give r.\nAnswer: 511","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 1333357 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = -119159*i - 953286. What is l(-8)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-77 + (-9805)\/(-111))*(1 - (1 - -3)).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 7938277 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -415*g**6*z + 4*g**3*z - 23*g**2*z - 3*z + 316 wrt g.\nAnswer: -49800*g**3*z + 24*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -170, -309, -676, -1385, -2550?\n\"Answer: -19*m**3 - 6*m - 145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o + 49 + 8 = -3*g, 3*o = -g + 37. Suppose -3*s - 2 - 4 = 0, o = 3*a - s. Factor 5*c**2 + 2*c - 3*c**2 - 6 + a - 2*c**3.\nAnswer: -2*(c - 1)**2*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -906b98 + 4?\nAnswer: -906b94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from viviiviiiiiiiiiiiiii. Give prob of picking 1 v and 1 i.\nAnswer: 51\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s - 3*s = -3. Let z be 46 + 4\/(s - 5). Suppose -4*m = -0 - z. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = -k**3 + 5*k**2 + 2*k - 4. Let q be w(5). Let r(j) = -4 - 2*j - 2 + 7*j + 0*j. Calculate the remainder when r(q) is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 1 + 200?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = 3*z**2 - z**3 + 6*z - z**3 - 3 - 4. Suppose -1446 = 34084*d - 34566*d. What is m(d)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -160, -232, -384, -646, -1048, -1620?\nAnswer: -2392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o - 2*v + 4 = 0, -4 = o - 0*o - 3*v. Let f be 57\/(-38)*2\/(-3). Sort o, f, -2 in increasing order.\nAnswer: o, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -53 divided by 86.\nAnswer: -53\/86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -20*g + 191 + 89. Let j(c) = c**3 - 15*c**2 + 14*c. Determine j(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = 76*x**2 + 24*x - 47. Let g be u(2). Suppose 2*t + 0*t - 14 = -v, -5*t + 17 = -2*v. Calculate the highest common factor of g and t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3241701859 a multiple of 451?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 r when three letters picked without replacement from {r: 4, d: 7}?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 1\/(-3)*(-4)\/10. Suppose -11*t = 8 + 69. Which is the second smallest value?  (a) 2\/17  (b) t  (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 36?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*u + 4*o - 1 = -7*u - 3*u + 21, 383 = u + 188*o for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 3\/13?  (a) 1  (b) 2\/13  (c) 4\/5  (d) -127  (e) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-90 - 2*d**2 + d**2 + 88)*((0 + 2 + 0)*(6 - 3 - 2) - 4 + 1 + 4).\nAnswer: -3*d**2 - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2, -20, -68, -158, -302, -512, -800?\nAnswer: -1178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -1.6070008 to 3 decimal places.\nAnswer: -1.607","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*i - 3 = 3*a + 9, 12 = 3*a + 5*i for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 24 and 1052?\nAnswer: 6312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -397635 divided by 132545\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence oav when three letters picked without replacement from vvvoboaoov.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = -78*g**3 + 2*g**2 + 23*g + 29. Is l(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*q**4\/11 + 1996*q**3\/11 - 501978*q**2\/11 + 1984024*q\/11 - 1976072\/11.\nAnswer: -2*(q - 497)**2*(q - 2)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -7 + 7.3. Let q = k + -0.1. Let f = -0.051 - 2.949. Which is smaller: f or q?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n = -7*n. Suppose n = -2*z + 4 - 8. What is the tens digit of 44\/z*1\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22 = -5*n + 19*m - 23*m, 11*m - 41 = -4*n. What is the third biggest value in n, -5\/33, 4, -4\/7?\nAnswer: -5\/33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1.65 times 5\nAnswer: 8.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 103 minutes before 3:55 PM?\nAnswer: 2:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1089 (base 13) to base 5.\nAnswer: -33220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z = 4, -2*z = -l + z + 29. Suppose -7 = -q - 2, i - 3*q - l = 0. Is 19 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-317 - -370) + (-1 - ((0 - -1) + (-1 - -4))).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*q - 135 - 40 = 0. Let j = 26 - q. What is the second biggest value in j, 0.1, -5, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i = 9*i - 240. Let v = -25 + i. Calculate the smallest common multiple of 21 and v.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 29298 and 7771?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 22, -1, -6, 4 in increasing order.\nAnswer: -6, -4, -1, 4, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p**(1\/4)*p)\/p)**9\/((p*(p*(p**3*p)\/p)\/p*p*p)\/p*p*p**(2\/9)) assuming p is positive.\nAnswer: p**(-143\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 671341833 to the nearest integer?\nAnswer: 25910","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2 - -3) + -11 + (6 - 2).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25 + 15 = 4*p. What is the highest common factor of p and 18?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -453*u**2 - 3708*u**2 - 388305*u**3 + 654 + 3*u + 388303*u**3 - 3*u wrt u?\nAnswer: -6*u**2 - 8322*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 140*r - 163*r = -92. Calculate the highest common factor of 13 and r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 706842564 and 4.\nAnswer: 706842564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 7237 divided by -7237\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -55 - -60. Suppose o + 3 - d = 0. Let s be (5 - 1)*(o + (2 - 3)). Solve -5*w = 2*k + 28, -3*w - w + s = -5*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) be the second derivative of -2*i**6\/15 - 3*i**5 - 74*i**4\/3 - 88*i**3 - 144*i**2 - 2*i - 132. Factor j(q).\nAnswer: -4*(q + 1)*(q + 2)*(q + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-k**2 + k**2 - k**2)*(-2*k**2 + 3 - 3) - k**4 + 1 - 1 + (-k**3 - k**3 + 3*k**3)*(0*k + 3*k - k) + 87*k**4 + 9*k**4 + 5*k**4.\nAnswer: 104*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 18 a factor of 9523?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*(-5 + -1*sqrt(704) + -1) + 5.\nAnswer: -16*sqrt(11) - 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 351 and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = -3*c**2. Suppose 0 = 23*s - 27*s. Let i(a) be the third derivative of 0*a**3 + 0*a + s + 1\/24*a**4 - 3*a**2. Calculate w(i(m)).\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 10, e: 2, j: 3}. Give prob of sequence dj.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 338 - -5?\nAnswer: 33d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 283922 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = -f - 1. Let j be 12*(1\/(-3))\/((-8)\/12). Let p(w) = 141*w**2 - 141*w**2 + j + 3*w + 2*w**3. Determine 6*m(a) + p(a).\nAnswer: 2*a**3 - 3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.611 * 0.4.\nAnswer: 0.2444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) -2\/15  (b) 4  (c) -1\/24\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 equal to 91?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 4469486 and 6320048.\nAnswer: 10822","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = 10*v**2. Let g(n) = -11*n + 1. What is l(g(u))?\nAnswer: 1210*u**2 - 220*u + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -6, 2, 5 in descending order.\nAnswer: 5, 3, 2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-6)\/(-5)*(-20)\/6. Let o = -43 - -35. Are t and o non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p + 984 + 396 = 0. Suppose 2*f + 20 - 112 = -s, -3*s + p = 5*f. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1010000111111100110011000 - -10?\nAnswer: -1010000111111100110010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = w + 1. Let k(c) = -3 + 8*c + 5 - 6*c. Let q(t) = -t**2 - 8*t - 1. Let b be q(-7). Determine b*k(s) - 13*l(s).\nAnswer: -s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -79\/7152 and 55\/36952?\nAnswer: 221712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(80)\/((-4*sqrt(110))\/sqrt(11) - sqrt(10)))\/((sqrt(256) - sqrt(256)*1) + (sqrt(240)\/sqrt(5))\/sqrt(12))*-6)**2.\nAnswer: 72\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 4, -8, -16, -14, 4, 44?\n\"Answer: j**3 - 4*j**2 - 7*j + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 80205043 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = 0*w**3 + 3 + w**3 + 7*w + 91*w**2 - 82*w**2 + 0. Determine f(-8).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1930*y = -1939*y + 41157. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 20454*a**3 - 22*a**2 - 20454*a**3 + 85*a**4 wrt a?\nAnswer: 2040*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 2 - 3. Let j = -22 - -42. Let t = j - 17. Which is the closest to o?  (a) t  (b) 1\/4  (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 4, c: 5, i: 6}. What is prob of sequence kc?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 20\/(-8) + (-2)\/(-4). Let q = 6 + f. Solve 3*y - 5*y = q for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = -21*b - 84. Suppose -4*o = 4*p + 24, o - p - 2*p = -6. Calculate the lowest common multiple of 49 and r(o).\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zf when two letters picked without replacement from {f: 1, a: 6, x: 3, z: 3}.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1\/259821 or -0.05?\nAnswer: -1\/259821","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = 16*k**4 - 4*k**2 - 19*k. Let w(x) = x**4 - x**2. Let p = -54 - -58. Let l(o) = p*w(o) - t(o). Find the second derivative of l(s) wrt s.\nAnswer: -144*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -9092, -9093, -9096, -9101, -9108, -9117?\nAnswer: -9128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (88 + -83)\/((-2)\/(12\/(-5))) - -13514. Calculate the highest common factor of l and 312.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 74 - 65. Let s be (-10)\/(-75)*(w\/2)\/3. What is the nearest to 2 in 0.4, 3\/4, s?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = -219*r - 1956. What is the smallest common multiple of 648 and m(-13)?\nAnswer: 7128","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -19 + 13. Let b(p) = p. What is b(k)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence aasa when four letters picked without replacement from laslssalssasal.\nAnswer: 6\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -10 - (-1887)\/126 - 5. Which is the smallest value?  (a) -1\/4  (b) -30\/13  (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*sqrt(550)\/((-3*sqrt(100) + sqrt(100) - sqrt(100))\/sqrt(10)))\/(-4*sqrt(55)\/(sqrt(5) + sqrt(30)\/sqrt(6))*1).\nAnswer: -sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is -19899583 at least -19899580?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = 14*w**2 - 2 + 6*w**3 + 12*w**2 - 31*w**2 - 5*w**3 - 6*w. Give r(5).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 230 + -128. Calculate the highest common divisor of 867 and a.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 13 - 4. What is the remainder when 51 is divided by r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 8837 and 841?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (38 - (8 - (-714)\/24))\/((-1)\/(-164))?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -30 + 33. Solve -a*w + 23 = w + 3*c, 2*c - 17 = -3*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 731 and 12402318?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = -49*m**2. Let v(b) be the third derivative of -b**5\/12 - 14*b**2. Let x(w) = 2*w**2. Let p(c) = 3*v(c) + 7*x(c). Calculate p(h(d)).\nAnswer: -2401*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -27*d + 23*d + 121 = -u, -4*d + 118 = -2*u. Solve -41*f = -d*f - 40 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -1\/3222360 and -55\/322236.\nAnswer: 3222360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*u, 3*u = -4*z + 6*u + 40. Suppose -2*t + 29 = -6*h + h, 2*h + 66 = 4*t. Calculate the remainder when t is divided by z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 646827 a multiple of 706?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 4, -24, -6\/35?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1641755209.\nAnswer: 29917, 54877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = -2*m**2 + 15*m - 13. Let l be i(6). Solve 2*g - 5*b - 23 = g, -l*g + 10 = -4*b for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = -2*f + 4*u + 17, 0 = 4*f + 2*u - 10. Let s(p) = -p**2 - 91. Let j be s(11). Let o = j + 213. What is the remainder when f is divided by o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -0.2, 0, -775, 2\/5, -1\/8, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 131474*r - 17400 = 131619*r for r.\nAnswer: -120","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -80*q + 540 = -74*q. Solve 39*p - q = 24*p for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1.1 in 0.04, 2, 3\/14876?\nAnswer: 3\/14876","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p = -15, 42 = 4*z + 4*p - 6. Solve 4*m = -z - 3 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = -y**2 - 120. Let j be t(-14). Let g = 320 + j. Solve -g*n - 1 = -9*n - 3*r, 0 = -5*n - 2*r - 1 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:05 AM and 9:46 AM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) be the first derivative of 11*d**3\/3 - d - 807. Let o(t) = t**2 + 9*t + 11. Let b be o(-8). Suppose b*y + 0*y = -3. Calculate m(y).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 23\/3 and -36\/433.\nAnswer: 1299","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (2\/(-12) + 0)\/(24\/(-432)). Factor 0*y**2 + 3\/5*y**i + 0 + 0*y.\nAnswer: 3*y**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -8*p**3 + 1949302*p**2 - 55959445 wrt p.\nAnswer: -24*p**2 + 3898604*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand -5*m + 3*m + 6*m + (4 + 0 - 2)*(2*m - 6*m + 3*m) + m - 1 + 1 + (-11 - 60 - 21)*(m - 2*m + 0*m) + (-2 + 0 + 3)*(0*m - m + 0*m) + 2*m + m - m.\nAnswer: 96*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort -87, -4, 3, 4 in ascending order.\nAnswer: -87, -4, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:27 PM and 11:51 PM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -126*n + 1534916 = -5661777 - 706027. What are the prime factors of n?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -13 (base 5) to base 10\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 605 minutes after 12:53 AM?\nAnswer: 10:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 93169 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 59344, 59312, 59254, 59170, 59060, 58924, 58762?\n\"Answer: -13*b**2 + 7*b + 59350","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = -12365*m**2 - 15*m - 15. Let w(a) = -a - 1. Calculate s(h) - 15*w(h).\nAnswer: -12365*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*n = 3*y + 15, 0 = -3*y + 20*n - 11*n - 15 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -m - 4*m + 3*v - 38 = 18, -18*m - 5*v = 32*m + 140*m + 1890 for m.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 449060\/9*54\/(-12). What is o rounded to the nearest 100000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -61*r + 74*r - 49 + 140 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(1 + (1*sqrt(720) + sqrt(720) - sqrt(720))).\nAnswer: -60*sqrt(5) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = -2*g. Let o(r) = -717*r + 24. Let q(n) = 480*n - 15. Let s(a) = 5*o(a) + 8*q(a). Give s(k(z)).\nAnswer: -510*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((q\/(q\/(q\/(q\/(q\/(q**(-5)\/q*q))))*q))\/q**(-1\/6))**0)**(12\/5) assuming q is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 4548\/38369 + -2\/2257. Let n = 3 + -2. Put n, c, -1\/7 in ascending order.\nAnswer: -1\/7, c, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 91724643*i**3*y**2 - 10*i**3*y + i**3 - 7*i**2*y + 3*i*y**2 + 2912*i*y - 5*y wrt y?\nAnswer: 183449286*i**3 + 6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 17054 is divided by 438.\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 18479?\nAnswer: 17, 1087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1367.\nAnswer: 1367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in -10.1, -2\/23, 9\/4, -0.4, 1\/4?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 112098*n**2*p - 518880658*n**2 + 2244*n*p wrt p.\nAnswer: 112098*n**2 + 2244*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = -10*d + 16. Let o(y) = -11*y + 18. What is 6*k(r) - 5*o(r)?\nAnswer: -5*r + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 103a5a6 + -13?\nAnswer: 103a593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence jti when three letters picked without replacement from {i: 2, b: 8, t: 1, j: 1, l: 1, f: 1}?\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 11\/2 of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = -p**2 + 2*p - 1. Let k(u) = -4*u**2 + 12*u - 6. Let j(y) = -k(y) + 6*z(y). Let i(c) = 604*c**2. Determine i(j(f)).\nAnswer: 2416*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 40 - -1*(0 - -4)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-9)\/(1674\/4))\/(6\/(-18)).\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = 3*c**2 + 2*c - 2. Let d be k(2). Suppose -5*n = -3*n - 660. Suppose n = 4*z - 118. What is the highest common factor of z and d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 677 minutes after 8:58 AM?\nAnswer: 8:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express 6*g**2 + 6*g**3 - 4*g - 3*g + g**3 - 9*g**3 in the form b*g + m*g**2 + l + w*g**3 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4 + (-13 - -17) - ((-2 - -2) + -2).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 1930020 and 944694?\nAnswer: 179491860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Divide 2 by 22.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d + 222 = 5*s - s, 3*d - 59 = -s. Does 8 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -451582273 less than 0.116?\nAnswer: 451582273.116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 195*q - 1317675 - 4734812 - 1619593. What are the prime factors of q?\nAnswer: 2, 2459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-1476)\/(-130) - -1) + -1. Let f = n - 56\/5. Suppose 328*y = 289*y - 39. Sort f, 0, y, -1\/2 in ascending order.\nAnswer: y, -1\/2, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 48 - 24. Let b(y) = -189*y + 4017. Calculate the least common multiple of b(21) and w.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 32 = 3*a + 19*s, 9*a - 8 = -102*a + 116*a + s for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.23576 - 0.03576. Sort -161\/5, 0.1, w, -2 in decreasing order.\nAnswer: w, 0.1, -2, -161\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 2081291, 2081290, 2081289, 2081288?\n\"Answer: -u + 2081292","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 8675466?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 11902771?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 478954410?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.249 + 0.327. Let z = u - -1.922. Let a = -0.5 - -0.46. Sort z, -3, a in decreasing order.\nAnswer: z, a, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 226 and 376958?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 5164 rounded to the nearest 100?\nAnswer: 5200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1037 - 1590. Let p = i + 569. Solve 0 = -4*q - 0 + p for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:52 PM and 10:47 PM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w**3 + 8392*w**2 + 102036*w - 1595160 = 0. Calculate w.\nAnswer: -21, 9, 2110","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 123 minutes after 4:09 AM?\nAnswer: 6:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -42 - -53. Suppose 5 = -2*w - r. Put w, -2, 1 in decreasing order.\nAnswer: 1, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -56543\/1265 or -46?\nAnswer: -46","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 1773 and 3743?\nAnswer: 33687","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 237784479 to the power of 1\/3, to the nearest integer?\nAnswer: 620","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1896 - -1896. What is the nearest to -0.07 in u, -2, 1\/4, -0.5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:37 AM and 10:01 AM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 103\/127584 and -65\/792.\nAnswer: 1403424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1 - 1. Let j = 8 - 11. Which is the nearest to s?  (a) j  (b) -0.5  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*c + 18. What are the prime factors of c?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -2*k*u*x**2 - 8925*k*u*x - k*x - k + 5*u*x**2 - 47668*x**2 wrt u?\nAnswer: -2*k*x**2 - 8925*k*x + 5*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -2 - -2. Let z = -2 - n. Let d be (8\/z)\/(2 - 4). Solve d*p - 4*x + 2 = 0, 5*p + 5 = 4*p - 2*x for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zwz when three letters picked without replacement from zzhzzzzwzxzz?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = t**2 + 34*t + 179. Let z be y(-6). Solve -4*j + z*j + 35 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 16376471233 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 1103242320 (base 5) to base 3\nAnswer: 11111220210011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-1)\/2*4*103. Let b = -3485\/4 + 854. Find the common denominator of 2 + n\/64*2 and b.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add 1544184070 and -1240.\nAnswer: 1544182830","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = -58*w**3 + 2*w - 2. Let l(p) = 1 - 241151*p - 241144*p + 482294*p. Calculate 2*l(o) + y(o).\nAnswer: -58*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 997172 is divided by 20.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 79*f + 1202 + 821 + 1254 = -357 for f.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 283 + 13*u - 7*u + 7*u.\nAnswer: 13*u + 283","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/7 in 1\/10, 0.4, -51?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = 3*g**3 + 5*g**2 - 9*g + 9. Let c be m(7). Let h be (3\/(-4))\/((-5)\/c). Let n = h + -56. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2316549284?\nAnswer: 2, 7, 571, 2957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) be the first derivative of r**6\/3 - 21*r**4\/4 - 47*r**2\/2 + 317. Find the second derivative of u(n) wrt n.\nAnswer: 40*n**3 - 126*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 5*s**3 - 5*s**4 + 0*s**3 + 0*s**3 + 1 - s + 4 - 121*s**2 - 4*s**3 to x + i*s**2 + g*s**4 + u*s + d*s**3 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.145 - 0.075. Let i = 0.93 + w. Which is the second biggest value?  (a) i  (b) -3  (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-3)\/18*4)\/((925\/600)\/37)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor -30*w**3 - 1855*w**2 + 6275*w + 6500.\nAnswer: -5*(w - 4)*(w + 65)*(6*w + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 18 and 35088976?\nAnswer: 315800784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7141329.\nAnswer: 3, 13, 67, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/1013?  (a) 8  (b) 0.1  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -97 + 119. Is 3 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = -2*c**3 - 73*c**2 - 36*c + 11. Suppose -12 = -2*a + 18. What is the least common multiple of a and w(-36)?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 48095896.\nAnswer: 2, 2203, 2729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 1*2 - (-3)\/(-3). Let u = 18 + -23. Let y = -38 + 41. Which is the closest to y?  (a) u  (b) f  (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 17094384 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(130) - -3*sqrt(130))*-3*-2)\/((sqrt(250) - (sqrt(250) + 4*(-3*sqrt(250) + sqrt(250)))) + sqrt(250)))**2.\nAnswer: 832\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1398076?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 3064169 to the power of 1\/3, to the nearest integer?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 38*v + 252 = 52*v. Let b be (-146)\/16 - (-13)\/104. Let r be v\/8*(24\/b + 2). Which is smaller: -0.1 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {d: 1, z: 1, k: 2, c: 5}. What is prob of picking 3 c and 1 d?\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -8394, -33602, -75624, -134466, -210134, -302634, -411972?\n\"Answer: -d**3 - 8401*d**2 + 2*d + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1 (base 4) to base 6.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -44 (base 6) in base 3?\nAnswer: -1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 137 a factor of 21783?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Does 23 divide 5898304?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = 2*f + 22. Let z be j(-11). Suppose z = 5*i + 33 - 13, 2*i + 5085 = o. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) be the first derivative of y**8\/105 + y**6\/120 - 20*y**3\/3 + 17. Let u(j) be the third derivative of i(j). Find the third derivative of u(w) wrt w.\nAnswer: 384*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j + 471 + 375 = 3*p, -5*j - 294 = -p. What is the remainder when p is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*z - 226 = -1250. What is the highest common factor of 48 and z?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 1\/(-4)*-1 - 0. Let w = -0.4415 + -0.1585. What is the nearest to l in -0.3, w, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 1*4 + (-2 - -1). What is the remainder when (-108)\/(-2) - (1 - (1 + l)) is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 63\/222575 and -79\/10.\nAnswer: 445150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 3, k: 1, x: 1, y: 1, q: 1}. What is prob of picking 1 k and 1 h?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*w - 3*s + 9, -2*s + 10 = -0*s. Solve w = -m - 1 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*c = 979 - 8695. Suppose -3*s = -649 + c. Solve -s*m = -5*m + 15 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -276 + 0*h**3 + 4*h + 267 - 2*h + 105*h**3 + 10*h**3 as q*h + s*h**2 + g + j*h**3 and give g.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -20 take away -7.456?\nAnswer: -12.544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 11532 + 885?\nAnswer: 12527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 79774?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 790214 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert -111653214 (base 7) to base 2.\nAnswer: -11010000001000010001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 2\/3 - -1 - 2\/3. What is the units digit of z\/3*(9 - (2 - -1))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z**5 - 83*z**4\/3 + 1503*z**3 + 82087*z**2\/3 + 128700*z + 81796\/3 = 0. What is z?\nAnswer: -13, -11, -2\/9, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -565, -1120, -1665, -2194, -2701, -3180, -3625?\n\"Answer: y**3 - y**2 - 559*y - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.4, 1, -803648, 3 in descending order.\nAnswer: 3, 1, -0.4, -803648","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 30763\/2 - 15383. Sort w, 2\/11, 4, 0.3, 0.11 in decreasing order.\nAnswer: 4, 0.3, 2\/11, 0.11, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 576 divide 1988352?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -61, -3.37, 1\/5, -1?\nAnswer: -3.37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-12 - (2 + 3)) + (8 - 14) + 1.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -2211.5 and 0.5.\nAnswer: -1105.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.184896864 to two dps.\nAnswer: 0.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -0.04  (b) -1\/2  (c) 0  (d) 1\/3  (e) 11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 887130 rounded to the nearest 10000?\nAnswer: 890000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = 46*h - 1306. Determine d(28).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 204b11 + -202?\nAnswer: 20490c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x + 45 = 2*x. Let y = 179\/4 - x. Which is the closest to -1\/2?  (a) 1  (b) 2  (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3 + 2 - 2 - (25 + -25).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + 4 + sqrt(35)\/sqrt(5)*-2 - -2*(sqrt(175) + -2 + sqrt(175) + sqrt(175) + 4).\nAnswer: 13 + 28*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 492.6 - 489.6. Sort 9, 0.1, 16, g in descending order.\nAnswer: 16, 9, g, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 17046 is divided by 290.\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 0 + (0 - -2 - -2). Let q(t) = 9*t**2 - 4*t + 7. What is the units digit of q(h)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -244\/7 - 248\/7*d - 4\/7*d**2.\nAnswer: -4*(d + 1)*(d + 61)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14757329 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 0.02 + -0.26. Let d = c - -0.04. Are -1 and d non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4\/(-4)*3 - -524 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 29 + -23. What is the remainder when 17 is divided by f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 16 and 370.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = a**2 - 2*a + 1. Let q = 17 - 19. Let d be 10\/(-20) - 3\/q. Let z be l(d). Solve -3*i + z = -15 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 6 + (26 - 6)\/(-4) + -55 + 85.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z - 20 = i + 4*i, -4*z = 2*i - 10. Let h be (0 - 0 - -1)\/((-4)\/(-12)). Let v be 18\/(-1 + 2) - h. What is the highest common factor of z and v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1208689009?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Do 1 and -1\/364 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.1281 - -6.0581. Let m = z + -5.93421. Round m to four dps.\nAnswer: -0.0042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -5, 0.0555, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the seventh biggest value?  (a) -0.02  (b) -1  (c) -4  (d) -6  (e) 0.1876  (f) -3  (g) 34\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 11  (b) -0.1  (c) 47.48\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 5089019, 10178077, 15267135, 20356193, 25445251, 30534309?\n\"Answer: 5089058*t - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i be -1 + (-30879)\/(-7) + 2\/(-7). Round i to the nearest one hundred.\nAnswer: 4400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 51, 103, 155, 207?\nAnswer: 259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 22.33*10.\nAnswer: 223.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 20680 and 770.\nAnswer: 144760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-58)\/(-154) + (-2)\/7. Let m be ((-35)\/(-490))\/((-2)\/8*-1). What is the closest to -0.2 in m, r, 2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 354 minutes before 7:29 PM?\nAnswer: 1:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 376750537 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = 2*v - 7. Let w = 282 + -277. What is g(w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1607951 is divided by 479?\nAnswer: 427","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -50*q + 41*q = -25*q - 48 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1106731898 to the nearest integer?\nAnswer: 33268","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (8 + 4*x - 8)*(-97*x**2 - 45*x**2 + 28*x**2).\nAnswer: -456*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 350 and 16?\nAnswer: 2800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*(0 + sqrt(700)) + 3 - ((sqrt(7) + 1)*5 + sqrt(42)\/sqrt(6)*1))**2.\nAnswer: 264*sqrt(7) + 30496","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 21\/16 and 115\/6408388?\nAnswer: 25633552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 225*s = 233*s - 64 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = -v - 4. Let j(y) = y + 3. Let w(l) = 3*g(l) + 4*j(l). Let a be w(8). What is the greatest common divisor of 32 and a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.4 - 0. Let k = t + 0. Let g = -4.7 - -6.7. Sort g, k, -4.\nAnswer: -4, k, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1819 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*b - 3*k - 21, 5*k + 2 = -4*b - 1. Let d(q) = 27*q**2 - 4*q - 3. Is d(b) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = -q**3 - 6*q**2 - 2. Let h = 529 - 535. Calculate x(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -253 + 251. Sort j, 10, -3, 1\/2 in decreasing order.\nAnswer: 10, 1\/2, j, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-52)\/(-13) + (0 - 3). Let a(j) = -10*j + 1 + 4 - 4 + j. What is a(f)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.0083 - -0.0083. What is the third biggest value in -1\/6, v, 1.36?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 24 a factor of 360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 20356419 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 2388637477 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 6335597.41 rounded to the nearest one thousand?\nAnswer: 6336000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Does 34 divide 138871617?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 3846559 rounded to the nearest ten thousand?\nAnswer: 3850000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -947\/90 + 200\/9. Find the common denominator of (4\/16)\/(9\/68) and b.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 426563?\nAnswer: 426563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Does 27 divide 26676551?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -b = 2, -102*w + 105*w = -3*b + 6 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 9\/(-207) - (-364)\/966. Let z = 0.4 - 0.6. Let q = z + 0.3. Put -0.08, q, m in descending order.\nAnswer: m, q, -0.08","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: (80\/2)\/5*5817\/4986\nAnswer: 28\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -19329*p**3*t*w**2 - p**2*t*w + 6*p**2*w**2 - 3*t*w**2 - t*w + 29 wrt p.\nAnswer: -115974*t*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -130 + 660. Suppose 74 = -3*l + h. What is the highest common factor of 19 and l?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange n**2 + 4*n**4 + 1 + n**4 + 2 - 3*n**4 to the form c*n**4 + y*n + k*n**3 + b*n**2 + h and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = -40*i - 15*i**2 - 14*i**2 - 23*i**2 - 12*i**2 + 53*i**2. Let c(a) = 4*a**2 + 13*a. Give -8*c(z) - 3*t(z).\nAnswer: z**2 + 16*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v - 5*w = -22, -10 = v + 66*w - 68*w. What is the fifth biggest value in -2\/5, 1, 6\/7, -0.1, v?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3372 is divided by 99.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*y**3 + y**3 - 2*y**3 + (11*y**3 + 0*y**3 - 40*y**3)*(1 + 5 - 9).\nAnswer: 82*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 1\/12  (b) 0.5  (c) 0  (d) -0.006\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(504) - -2*sqrt(504))\/(sqrt(2) - sqrt(32)*6))\/(-1*(sqrt(16)*5 + sqrt(36)\/(1*sqrt(9)))).\nAnswer: 9*sqrt(7)\/253","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -14326 + 18131. What is the remainder when v is divided by 32?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = f**3 - 9*f**2 + 17*f + 3. Give n(7).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m = 3*h + 2 - 43, -2*h - 10 = -2*m. Let f(w) = w**3 - 3*w**2 - 8*w - 7. Is f(m) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f + 8 = -l, -3*f = l - 4*f - 4. Suppose -2*a = 5*p - 55 - 44, 3*a + 3*p - 153 = l. Is 8 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -3839 - 131*q**2 + 12693 + 129*q**2 + 4796 in the form f*q + d + t*q**2 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 63?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 43941 + -0.1.\nAnswer: 43940.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -1.72, -480, 0.2, -4, -13, -1\/6?\nAnswer: -1.72","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 16806485?\nAnswer: 5, 3361297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -118 divided by 12052\nAnswer: -59\/6026","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -17, -85, -179, -281, -373, -437?\n\"Answer: 3*x**3 - 31*x**2 + 4*x + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 924 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round -4896.3 to the nearest 100.\nAnswer: -4900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 27059*c**3 + 21*c**2 - 1744140*c + 2 wrt c?\nAnswer: 162354*c + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 42458\/(-575) + (-876)\/5475?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1715629 and 2245?\nAnswer: 449","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 8939850 divided by -6?\nAnswer: -1489975","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 3  (b) 1.3  (c) 2.4  (d) -0.02  (e) 0.05  (f) -9\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = 4*s**2. Let p(j) = 8*j - 6. Let x(q) be the second derivative of -7*q**3\/6 + 5*q**2\/2 + 6*q. Let m(o) = 5*p(o) + 6*x(o). What is z(m(k))?\nAnswer: 16*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -13 - -18. Let z(n) = n + 1. Determine z(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 58338077 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = 2*i - 6*i + 3*i - 2*i. Let m(x) be the second derivative of 6*x + 0 + 0*x**3 - 13\/12*x**4 + 0*x**2. Determine j(m(d)).\nAnswer: 39*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = 45*c**3 - 11*c**2 + 38. Let h(i) = 15*i**3 - 4*i**2 + 13. Let p(l) = 11*h(l) - 4*s(l). Differentiate p(y) wrt y.\nAnswer: -45*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 23614*g**2*l**2*t - 697*g**2*l**2 - l**2*t + 5*l**2 + 4 wrt t.\nAnswer: 23614*g**2*l**2 - l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -3 - -2.6. Let r = -628 - -703.1. Let g = r - 75. What is the nearest to -1 in i, g, -7?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 2.68  (b) 0.2  (c) 30\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*q = 13*i + 355, 3*i + 20*q + 1917 = 8*q + 35*q for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o + 52482 = -2*i, i + 37 = 40. What is the highest common factor of o and 54?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = -m**3 - 39*m**2 - 24*m + 164. Let d be c(-39). Suppose 2*l + 1084 = d. What is the lowest common multiple of 15 - (-1)\/(-2)*2 and l?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 20*g**5 - 7*g**4 - 871*g**2 wrt g?\nAnswer: 1200*g**2 - 168*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1.3 + -0.3. Suppose 2*s - 3 = -5*a + 30, 0 = 4*s + a - 21. Sort s, n, 0.3 in descending order.\nAnswer: s, n, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = -5*w - 1. Suppose 3*q = -21 + 12. Give s(q).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 11120 - -112320?\nAnswer: 130100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from gcllcgcgclg. Give prob of sequence cccg.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round 8480.2112 to the nearest one thousand.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = 7354*b**2 - 14*b - 13. Is m(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 50 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*l = 130 - 150 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = 6*n**2 - 4 - n**3 + 2*n - 7*n**2 + 3. What is the units digit of v(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -3 < -0.6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = 27*p - 32. Calculate h(3).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*i = -20, 5*m - 16 = 3*m - 5*i. Let x be (-9 - -5)\/(-2 - (-16)\/12). Solve h - x = j, 3*j - m = 2*j - 5*h for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = -q**3 + 2*q**2 + 6*q + 2902. What is the units digit of y(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7 + 7 + 157*f.\nAnswer: 157*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1 or -2\/2033?\nAnswer: -2\/2033","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = -6*o**2. Let z(x) = 11367*x**2. What is t(z(w))?\nAnswer: -775252134*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = 25*x - 792. Calculate d(38).\nAnswer: 158","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 - 2 + 3)*(3*c - 4*c - c) + 369*c - 4185*c - 3 + 3 + 525*c.\nAnswer: -3287*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(70)\/(sqrt(120)\/sqrt(108)) - (sqrt(63)\/(sqrt(36)\/sqrt(4)) + sqrt(112) + -2))**2.\nAnswer: -8*sqrt(7) + 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 95944068 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {c: 1, z: 6, p: 1, o: 3, y: 2}. Give prob of sequence poo.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 800, 1595, 2394, 3197, 4004, 4815?\nAnswer: 5630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 28 - 371*k**2 + 370*k**2 - 28 - 322*k**3 + 1473*k wrt k.\nAnswer: -1932*k - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vc when two letters picked without replacement from qvqvqbuffuuqfuuucf.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mm when two letters picked without replacement from eeeememiee?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find y such that -4*y**3\/9 - 55052*y**2\/9 + 1102724*y\/9 + 385924\/3 = 0.\nAnswer: -13783, -1, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 182\/(-10) + (-5)\/(-25). Calculate the remainder when (5 - g)*(1 - 0) is divided by 7 + (-1)\/2*2.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -9\/8, 0.9359, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:37 AM and 9:08 PM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = j - 486 - 991. Suppose -30*s - j = -37*s. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -65.633 + 69.68. Let d = -449 + 448.953. Let m = p + d. Sort -1, m, 5, -4 in decreasing order.\nAnswer: 5, m, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2042?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 448 is divided by 186?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -34766, -35286, -35806, -36326, -36846, -37366?\nAnswer: -37886","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = -u**3 - 5*u + 6. Give g(2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 17*t - 20*t + g = -41, 0 = -2*t - 5*g - 1 for t.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/8 of a meter in millimeters?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -702 - 233*j + 181 + 170 + 201 + 172 + 232*j.\nAnswer: -j + 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q + 15 = 0, -o + 7*q - 6*q + 2 = 0. Let r = 0.067 + 0.133. What is the second biggest value in 4, o, -1, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -346 + 246. Let q = k + 99. Sort 9, q, -5 in decreasing order.\nAnswer: 9, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = -161*o - 8302. What is q(-47)?\nAnswer: -735","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 11554573 and 2274.\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 1\/7, 1\/4, -3, 2333?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 0.86  (b) -5  (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 3579*c + 51168 with respect to c.\nAnswer: 3579","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-1)\/(6\/(-3))*-2. Let t be (-28)\/(-5)*(4 + -24). Let k be (6\/(-14))\/(320\/t). Which is smaller: k or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 85 + -100.6. Let r = f - -15.5. Is r at most as big as 69?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l - 24 = -7*l. Solve -2 = 4*k + l for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in fourty-nine quarters of a litre?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = -3*g**3 - 30*g**2 + 148*g + 1660. Determine u(-10).\nAnswer: 180","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -2051900.69 - -2051876.69000037. Let w = q + 24. What is w rounded to seven dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -65522 divided by -3?\nAnswer: 65522\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -5, -3.\nAnswer: -5, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = -19*w**2. Let x(i) be the first derivative of 8*i**2 - 274. Calculate m(x(c)).\nAnswer: -4864*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (-6 - (-4196)\/2) + (-14 - -18) is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p - 3 = -o, 0 = -0*o - 4*o - p + 12. Let r(v) = 175*v + 36. List the prime factors of r(o).\nAnswer: 3, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1306*k**2 - 1303*k**2 - 1280*k**2 + 3838*k**2.\nAnswer: -51*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 474210 and 31135?\nAnswer: 2395","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 - (-16 - (1 - -14 - 4))?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(6) + (sqrt(66) + sqrt(66)*1)\/sqrt(11) - sqrt(6))\/sqrt(3).\nAnswer: 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 0 - -28?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 y and 2 x when three letters picked without replacement from {x: 4, u: 6, y: 7}?\nAnswer: 21\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express -14*m**3 - 2*m**4 + 18*m**2 + 28*m**3 - 12*m**3 as p + q*m + y*m**3 + i*m**4 + k*m**2 and give k.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*m + 11*m = -25. Suppose -z = 16 - 2. Let n = -13 - z. Solve g + m = n for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -85 + 82. What is the smallest value in -1, 5, z, 1\/3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:43 AM and 2:38 PM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 132 a factor of 4901?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-5)\/6)\/(18\/(900\/5)*50).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -110 - -1100101?\nAnswer: 1011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 99?  (a) 4  (b) -0.1  (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 13 is divided by 13?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:44 AM and 7:36 AM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 410 minutes after 3:56 AM?\nAnswer: 10:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 485870 and 839230.\nAnswer: 9231530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Does 20 divide 157436440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 41256\/5348*(-14)\/6.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 at most -2\/11981?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 5516 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3359 is divided by 259?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 5237802 to the power of 1\/3, to the nearest integer?\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) be the third derivative of -r**4\/24 - 2*r**2 + 13. Let x = 3 + -3. Let w(l) = 3*l**2 + 10*l**2 + x + 0. Calculate s(w(f)).\nAnswer: -13*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 404644363 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 581 is divided by 53.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*c - 3*c**3 - 5*c**3 - 3*c**3 + 0*c**2 - 2*c**2 + c to the form j + r*c**2 + p*c + h*c**3 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6188206 is divided by 1929.\nAnswer: 1903","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express (-36 + 36 - 11*z**4)*(1 - 2 + 4 - 2) as d*z**4 + q*z**2 + x*z**3 + o*z + i and give d.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = -f**2 - 1. Let w(c) = -c**3 - 7*c**2 - 3*c - 9. Let i(o) = 2*o**3 + 13*o**2 + 5*o + 17. Let g(y) = 3*i(y) + 5*w(y). Give -g(z) - 6*k(z).\nAnswer: -z**3 + 2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = 15*w + 1. Let o(k) = 7*k. Let u = 4 - 2. Let z(q) = u*x(q) - 5*o(q). Let a(r) = 9*r - 3. Give 3*a(s) + 5*z(s).\nAnswer: 2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 801 + -596. Does 18 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(209)\/(-2*sqrt(11)) + (sqrt(19) + -1 + sqrt(114)\/sqrt(6))**2.\nAnswer: -9*sqrt(19)\/2 + 77","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + 2 + sqrt(325) + sqrt(13) + sqrt(13).\nAnswer: -2 + 7*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = o**2 - o + 2. Let t(k) = 6*k**2 - 2*k + 12. Give 5*c(j) - t(j).\nAnswer: -j**2 - 3*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 d when three letters picked without replacement from {a: 6, d: 13}?\nAnswer: 286\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -q - 22 - 2 + 4.\nAnswer: -q - 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -27049 = -4333*i - 215219 - 58811 for i.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve s - 1 = 0, 5*o + 3*s + 10 + 7 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -39075 divided by -1288.\nAnswer: 39075\/1288","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = -15*v + 8. Let s be b(-2). Let h = -31 + s. Let l = h + 165. Does 46 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 96938885?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1650 and 105?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from fhscscfchhycycsyfsk. Give prob of picking 1 c and 2 y.\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(-2*(5 + sqrt(684))**2 - (-5 + sqrt(684))*5) + -3.\nAnswer: -8361 - 900*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (843*t - 19649 + 19649 + 4006*t)*(-1 - 4 + 1).\nAnswer: -19396*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 10166?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/3, 2\/21, -1\/12, -42, 42\/13.\nAnswer: -42, -1\/12, 2\/21, 1\/3, 42\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -58, -247, -564, -1009?\n\"Answer: -64*l**2 + 3*l + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = 25*d**2 + 201*d + 12. Let a(s) be the second derivative of -s**5\/20 - s**4\/12 + s**2\/2 + 2*s. What is the lowest common multiple of q(-8) and a(-2)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) be the first derivative of 5*z**6\/6 + 5*z**5 + 25*z**4\/4 - 25*z**3\/3 - 15*z**2 + 92. Determine o, given that y(o) = 0.\nAnswer: -3, -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0989444 rounded to 2 decimal places?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) be the second derivative of w**4\/12 - w**3\/6 + w**2\/2 - 157*w. Let h(y) = -y**3 + 4*y**2 - 4*y + 2. Suppose -16 = -o - 3*o. What is o*v(b) - h(b)?\nAnswer: b**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -193, -228, -263, -298, -333, -368?\nAnswer: -403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7873.\nAnswer: 7873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 12 + -7. Suppose 3*b - 1 = 8. Calculate the least common multiple of b and n.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = 19*p - 2. Let d be g(-5). Let v = -96 - d. Solve 2*u = -f + 8, 0 = 4*f - 15 - v for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -3046 * -0.3.\nAnswer: 913.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) be the second derivative of -11\/2*f**2 - f**3 + 0 - 5*f + 1\/12*f**4. Let m(z) = -8*z**3 - 80*z - 80. Let y be m(-1). Determine c(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = 35*l**2. Let u(c) be the second derivative of -71*c**4\/12 - 927*c. Calculate u(d(w)).\nAnswer: -86975*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -542 = -7*n - 94. Let g = n - 63. Let w be (5 + -4 + 1)\/((-2)\/g). Which is the biggest value?  (a) 1\/4  (b) 7  (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 3 + j)*(-2 - 1 + 1)*(4 + 5 - 4).\nAnswer: -10*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 90\/630*(-7)\/(-4).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26*u = u + 2550. Let j = -99 + u. Solve 0 = -5*s + j*n + 12 + 1, 3*n + 11 = 4*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 8568*a**3*q**3*v**2 + 24*a**3*v**2 + 2*a**3*v - 31*a**3 + a**2*q**2*v + 13*a*q**3*v + 6*v wrt v?\nAnswer: 17136*a**3*q**3 + 48*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -1658.32 rounded to the nearest one hundred?\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {x: 7, t: 3, r: 7, s: 3}. What is prob of picking 2 s?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 262, 2 in decreasing order.\nAnswer: 262, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -20*n - 68 = 112 for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 310 is divided by 39?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1 - -0.85. Let n = 0.05 + f. Which is the nearest to n?  (a) 5  (b) 2  (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -511 + 518. Let j(t) be the second derivative of 0*t**3 + 0 - 1\/45*t**6 - t + 1\/126*t**s - 1\/60*t**5 + 0*t**2 + 1\/18*t**4. Factor j(h).\nAnswer: h**2*(h - 2)*(h - 1)*(h + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 232 and 1202804.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 593 * 200\nAnswer: 118600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = -3*n**3 - 110*n**2 + 35*n - 71. Let x be c(-37). Let f be (-18)\/9*(-1 - 3). Solve x*d + f = -5*l - d, 5*l = 5*d - 35 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 242 is divided by ((576\/27)\/(-16))\/(-2 + 812\/408)?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*m + 7*m = -3*m + 368. Calculate the remainder when 283 is divided by m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4\/54 - (-880)\/(-4590)\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 473 a factor of 803180961?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 2921166\/11 - 266142. Let g = -25468\/55 - r. Let q = g - 118. Does q = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.02 * 1671\nAnswer: -33.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -817 = 362*o - 925*o + 872. Let g(s) = s - 9. Let u(a) = -3. Let j(v) = -4*g(v) + 11*u(v). Let r be j(2). Put r, 0, 0.5, o in decreasing order.\nAnswer: o, 0.5, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 17318\/(-7728) - (-45)\/18 and 37\/48.\nAnswer: 1104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s + i - 865 = 0, -971 + 131 = -4*s + 4*i. What is the remainder when 865 is divided by s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s**22*s)**27)**(-49) assuming s is positive.\nAnswer: s**(-30429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 10101010100000000110 + -11?\nAnswer: 10101010100000000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 6 + 0. Let d = 9 - c. Suppose 3*h - 63 = -4*w, -d*h - 55 + 10 = -5*w. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.162 * 97755.\nAnswer: 15836.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((j*j**(-7))**(-3))**(-14\/9))**(15\/7) assuming j is positive.\nAnswer: j**(-60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 24 - 232?\nAnswer: -204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 783 is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -18*c + 19*c - 44. Let r = -39 + c. Solve 4*j - 22 = -r*g, -5*g = -10 - 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 134427533 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z - 255 = -o + 1, z = -3*o + 768. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2\/(-7) + 120\/28 + -2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 362.19988383 - 362.2. Round s to five dps.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 78 is divided by 49?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand 128 - 33*s - 128 + (-s + 2 - 2)*(-2 + 0 + 3 + (2 - 3 - 1)*(-2 - 1 + 5)).\nAnswer: -30*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = 1204*w. Let n(t) = -225*t**2 - 7. What is n(c(k))?\nAnswer: -326163600*k**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert 22a491 (base 13) to base 6.\nAnswer: 25343424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = 19*n**2 + 2*n + 1. Let h(r) = -r**2 + 4*r - 1. Let k be h(3). Let o be c(k). Calculate the highest common divisor of 9 and o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 24748, 49545, 74340, 99133, 123924?\n\"Answer: -d**2 + 24800*d - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"}
{"text":"Question: (-2461)\/132894*(-24)\/(-14)\nAnswer: -2\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 21*x = 26*x - 25, 4*b - 5*x + 17 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 9 (base 11) to base 4.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 336318459 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5764 is divided by 73.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4 - 1 - 12*u**2 + 9*u**2 to w + d*u + c*u**2 and give w.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = l + 3. Let q(c) = c**3 - 4*c**2 + 2*c + 1. Let h be q(2). Let j be o(h). Suppose -k = 2*r - 3*k, r - 3*k + 4 = j. Solve z = r*z - 3 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rxsi when four letters picked without replacement from srrirrsx?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.2?  (a) 2\/13  (b) 0.5  (c) -0.2  (d) -2\/5  (e) -44\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = -5*z**2 - 6*z + 3. Let c be (-3)\/(-9)*-2*-9. Let h(x) = x. Let v(o) = 6*o**2 + 11*o - 3. Let p(m) = -4*h(m) + v(m). What is c*p(w) + 7*b(w)?\nAnswer: w**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {q: 2, b: 6, z: 6, f: 1, d: 2}. What is prob of sequence bf?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1290, -2582, -3874, -5166, -6458, -7750?\nAnswer: -9042","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let 3*r**3\/7 + 6483*r**2\/7 + 3709521*r\/7 + 220338009\/7 = 0. What is r?\nAnswer: -1047, -67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-5320)\/16)\/(-19)*8\/5. Suppose -4*r + 9*r + 20 = 0. Let v be 129\/(-6)*r - 2. What is the highest common factor of v and y?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((-2 + sqrt(5))**2 + sqrt(5))*-6 + sqrt(5) - sqrt(20)\/sqrt(4)*-3) + -4.\nAnswer: -58 + 22*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 3 - 6. Let d = 153 + -153.18. Let x = d - 3.82. What is the nearest to 0 in r, x, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -4311, -18390, -42245, -75876?\n\"Answer: -4888*h**2 + 585*h - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x + 0 + 3 = 0, 2*v - x = 25. Suppose 2 - 1 = -j, 5*a - 5*j - 40 = 0. Let c = a - -47. Calculate the remainder when c is divided by v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = -28*p**3 + 3*p**2 + 10*p + 1. Let m be h(6). Let q = m + 82415\/14. Calculate the common denominator of -1\/64 and q.\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 1896 and 12.\nAnswer: 1896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = 68*u**2 - 5*u - 14. Is h(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (4\/(-2))\/(-2) + -8. Let b be (0 - -1)*(4 - (-7)\/m). Solve -b*f = 2*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*c**2 + 0*c**2 + c**2)*(0*c + 0*c + c) + 35*c**3 - 42*c**3 - 26*c**3 + 7*c**3 + 16*c**3 + 53*c**3.\nAnswer: 42*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -2.98 + -0.02. Let o be (3\/4)\/((-333)\/8). Let l = o - 11\/74. Which is the third smallest value?  (a) l  (b) x  (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 48541, 48536, 48527, 48514?\n\"Answer: -2*f**2 + f + 48542","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = 2*a**2 + 2*a - 5. Let j(p) = -6*p**2 - 6*p + 16. Let z(n) = -4*n - 4. Let c be z(-2). Suppose i + 11 = 5*g, 3*i = c*g - 0*i. Give g*j(k) + 10*h(k).\nAnswer: 2*k**2 + 2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 40884?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Does 15 divide ((-17185)\/(-21) - -4) + 6\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find t such that t**2 - 13*t - 230 = 0.\nAnswer: -10, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 8, -22, -50, -76, -100?\n\"Answer: j**2 - 33*j + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -26*s + 123 + 137 = 0 for s.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 396*h**3 - 4*h**2 + 2170*h wrt h.\nAnswer: 2376*h - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 36\/(-12)*(-4)\/6.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*s - 3069 + 14*s + 3069.\nAnswer: 14*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 134444 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 27796879 and 184470197.\nAnswer: 2029172167","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 62 - (20 + -13) - (119 + -146).\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 9470736133 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-656)\/44 + 15 - (-2)\/33*15. Suppose 3*o = -o + 32. Calculate the greatest common factor of o and y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -208*c + 133*c = 565 + 185 for c.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -30, 0, -2.\nAnswer: -30, -2, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 s and 1 a when four letters picked without replacement from {s: 3, a: 2}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 234736320.\nAnswer: 2, 3, 5, 7, 13, 2687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is ((((-448)\/21)\/(-16))\/(10\/(-3)))\/5?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 217966 to the power of 1\/3, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = z**3 + 9*z**2 + 13*z - 1. Let c be x(-7). Let y be (16\/(-6))\/(c\/18). Calculate the common denominator of ((-145)\/(-48) + -3)\/(y\/108) and -33\/16.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-2108)\/23715)\/((12\/(-50))\/3). Find j, given that -2\/9*j**4 + 0 - 8\/9*j - 16\/9*j**2 - c*j**3 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 266 and 27736485.\nAnswer: 55472970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 3\/(-10)*8*(-10)\/60\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 2583726 and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q - 4*r + 2*r + 15 = 0, -4*q + 5*r + 12 = 0. Suppose -y = -q*b - 5*y + 233, 2*y - 4 = 0. Does 15 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g\/(g*g\/(g*g*g\/g**(1\/4))*g))\/g**14 assuming g is positive.\nAnswer: g**(-53\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -59\/30 and (-140)\/3*((-70)\/(-12) + -6).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-3*sqrt(95)*-6 - 3*sqrt(95)*-6)\/((2*(2*sqrt(320) - sqrt(320) - sqrt(320)) - sqrt(320)) + sqrt(320) + sqrt(320) - (sqrt(320) + -1*sqrt(320)*-6)))**2.\nAnswer: 171\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -762267 rounded to the nearest ten thousand?\nAnswer: -760000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1\/441219522 or -1?\nAnswer: -1\/441219522","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.016 + 25.984. Let z = -25.924 + f. Let d = 0.233 - z. Round d to 2 decimal places.\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*j - 5*j. Let y = j + 0. Suppose -5*h = -y*p + 3*p - 43, -5*p = 4*h - 37. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 73\/1266 and 109\/54.\nAnswer: 11394","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 60 - 164 + 62 + 3*v + 42 + 0*v.\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 183106822909 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Factor o**3\/2 + 179*o**2\/4 + 2071*o\/2 + 1896.\nAnswer: (o + 2)*(o + 48)*(2*o + 79)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (0 - -13) + 330\/(-18) + 2.\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.01072638 to 3 dps.\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 188 + -188. Let x(g) = -3*g - 3. Let z be x(-2). Solve q - 14 = z*k, l*k + k + 2*q = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 36 and 29364.\nAnswer: 88092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 34*c*p**3 - 280*c*p**2*y**2 - c*p**2 - 2*p**3*y**2 - 8*p**3 + 2*y**2 wrt y.\nAnswer: -560*c*p**2*y - 4*p**3*y + 4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 19\/72 and -56\/99.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 - 3 = -5*i. Suppose -3*r - 4*r + 686 = i. Calculate the remainder when r is divided by 15.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -284 - -299. Suppose 0 = j + x - o, -5*j + 38 = 4*x - 35. Solve 2*q = 5*u - 0*u - j, -u + 1 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = 6*y**2 + 8*y - 16. What are the prime factors of k(4)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -65838 greater than -65832?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*(sqrt(33)\/sqrt(3) + -2))**2 - ((1*sqrt(77))\/sqrt(7) - (3 + sqrt(11)*-1)).\nAnswer: -18*sqrt(11) + 63","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Does 15 divide 170?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 46704840 a multiple of 2548?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 785, 3188, 7211, 12854?\n\"Answer: 810*w**2 - 27*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xxx when three letters picked without replacement from xxxxxxx?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (148\/(-20) - -7)*1*-60. Is 21 bigger than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 n and 1 i when three letters picked without replacement from {n: 3, i: 3}.\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 83*f - 299 - 365 = 0 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 2 or -2\/1029?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 65 + 85 + 401 = 167*i + 50. Let 7\/3*u + 2\/3 + 5\/3*u**i + 3*u**2 + 1\/3*u**4 = 0. Calculate u.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 21*b - 15*b - 18. Suppose -4*i + 99 = b*p, 25 + 14 = 2*i + 5*p. Is i\/36 + (-5122)\/(-8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.6 - 0.2. Let w be (-15)\/(-6)*1\/(-1). Let x = 3.1 + -3.5. Which is the nearest to i?  (a) -0.3  (b) x  (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 3\/5?  (a) 3  (b) 93  (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 652 minutes after 6:40 AM?\nAnswer: 5:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = -d**3 + 15*d**2 - 12*d + 46. What are the prime factors of u(10)?\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -4.34533 and -1\/3 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Total of 1388.2 and 13.\nAnswer: 1401.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 12115281043 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 68 - 107. Let o = n - -69. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 4116247806?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 0.2 + -0.1. Let f(o) = -o - 1. Let k be f(-5). Suppose 58*p - 143 = 147. What is the closest to c in 0.4, p, k?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 15 + -12. Suppose z*p + 13 + 2 = 0, p + 1 = -s. Solve 2*t = s*t + 8 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1 + sqrt(847))*4 - sqrt(847)) + (sqrt(847) - (sqrt(847) + -1*sqrt(847)))*-1.\nAnswer: -4 + 22*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**(-10\/9)*z*z**(1\/62)\/z)\/(z**(-7\/9))**(2\/17) assuming z is positive.\nAnswer: z**(-3173\/3162)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 251 + -153. Suppose 233 = 2*b - r, 29 = -2*b - 4*r + 247. Let u = b - l. What is the remainder when 49 is divided by u?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = -2*a**2 + 2*a + 11. Let y be o(0). Let z(p) = 2*p - 6. Let r(w) = 10*w - 31. Give y*z(c) - 2*r(c).\nAnswer: 2*c - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*b - 5*x - 16 = -6*b, 0 = -3*b + 19*x - 44*x + 18*x - 16 - 24 for b.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 a factor of ((-68)\/51)\/(1\/(-66))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 76314?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5857?\nAnswer: 5857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: (-8)\/(-12)*(-6)\/18*189\/(-2)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Add -1.6 and -70.830662.\nAnswer: -72.430662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 595 minutes after 10:33 PM?\nAnswer: 8:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 34 and 442.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l - 13*l = -360. Differentiate -13*b**2 + 4 + l + 13*b**2 - 73*b**3 with respect to b.\nAnswer: -219*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) be the third derivative of 1\/210*y**7 - 4*y**2 - 1\/60*y**5 + 0*y + 0*y**3 + 1\/24*y**4 - 1\/120*y**6 + 0. Suppose p(u) = 0. Calculate u.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) be the second derivative of 961*w**4\/12 - 545*w**2 - 215*w. What is the derivative of x(p) wrt p?\nAnswer: 1922*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*d**5 + d**5 - 2*d**5)*(0 - 1 + 0) + 16*d**4 - 50*d**5 + 15*d**4 - 31*d**4.\nAnswer: -49*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o - 2*z = 14, -4*z = -5*o - 0*z + 10. Let c = -4 + o. Let f(n) = 2*n**3 - 5*n**c - 7*n - n**3 + 4 - 1. Determine f(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 2756515919?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -2211022 + 222?\nAnswer: -2210100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -82, -79, -72, -61, -46?\n\"Answer: 2*x**2 - 3*x - 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5 - 5 + 3*i)*(-4 + 1 + 2)*(1 - 3 + 1) + 76*i + 20*i - 17*i.\nAnswer: 82*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 87ba (base 12) in base 16?\nAnswer: 3a7e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = 27*x + 17. Calculate the remainder when o(0) is divided by 4\/(-10) + (-54)\/(-10).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = 84*c**2. Let x(r) = 3*r**2 - 18187. Determine x(y(g)).\nAnswer: 21168*g**4 - 18187","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-7*c + 8*c**2 + 7*c)*(-14*c - 10*c + 13*c) to d*c**2 + t*c + s + v*c**3 and give v.\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -40, -82, -124, -166, -208, -250?\n\"Answer: -42*o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-2)\/8 + 543\/(-292). Let w = n - -671\/1460. What is the common denominator of 21180\/19768 - (-5 + -1 + 3) and w?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 54*m**3*y**4 + 84431*m**3 - 29*m*y**2 - 45269*y**4 wrt y.\nAnswer: 1296*m**3*y - 1086456*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*q**5 - 2*q**4 + 12*q**3 + 8*q**2 - 16*q = 0. Calculate q.\nAnswer: -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*(sqrt(300) + (sqrt(300) + -2 + sqrt(300) - sqrt(300))))**2.\nAnswer: -2880*sqrt(3) + 43344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -4 + 1 + -3 + -4 + 5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i = -49 - 2. Suppose 27 - 3 = u. Let h = u + i. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -31*p + 85 = -14*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Does 21 divide 580?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1 - 1.2. Let f = 102.86 + -102.9. What is the smallest value in 3, f, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j - 39201431 = -u + 4*u, -4*u = 2*j - 78402832. Let s = j - 33634826791\/858. Let b = s + 112\/39. What is the common denominator of b and -39\/10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(114)*-1*4 - sqrt(114) - ((sqrt(114)*1 + sqrt(114))*-4 - sqrt(114)))\/((sqrt(6) - sqrt(384))*5 + sqrt(54)\/(sqrt(36)\/sqrt(4)))*1.\nAnswer: -2*sqrt(19)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 378314?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in 0, 1\/4, 0.16, -0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 475.\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = -15*p**2 + 11*p. Let f(w) = -5*w**2 + 4*w. What is 6*d(j) - 17*f(j)?\nAnswer: -5*j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 142257 is divided by 720.\nAnswer: 417","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y = y + 406. Let s be (-12)\/18 + y\/(-3). Find the second derivative of 67 - 4*p - s - p**3 wrt p.\nAnswer: -6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k + 5*g - 9 = 0, 4*g - 4 = 3*k + 1. Let x be -2 + 3 + k + 1. Sort x, 4, -0.3 in descending order.\nAnswer: 4, x, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = 2*u**2 - 42*u - 6. Determine x(21).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -25 + 44 - 26 - 2*t**2 wrt t.\nAnswer: -4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of d*p**3*z**2 - 120*d*p**2 + 289*d*p*z**2 - p**3*z - 2*p**2*z wrt z.\nAnswer: 2*d*p**3 + 578*d*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 12  (b) -0.4  (c) -0.1  (d) -1\/25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 1 - 3 - (-7 - -4)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) be the first derivative of -f**2 + 12*f - 4. Let u(l) = 5*l - 25. Let q(h) = 7*n(h) + 3*u(h). What is the units digit of q(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p - y = 22, 0 = 5*p + 2*y - 5 - 11. Is p at least as big as 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) -6  (b) -20  (c) 1\/3  (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 101*o - 3*n - 11 = 96*o, 3*o - 3 = 3*n. Let q(x) be the second derivative of 0*x**2 + 0 - 1\/27*x**4 - o*x - 1\/180*x**5 - 1\/18*x**3. Factor q(h).\nAnswer: -h*(h + 1)*(h + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 976380?\nAnswer: 2, 3, 5, 16273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/9 in 4, -1, 0.4, -5, 152774?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2083?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 56, 276, 782, 1706, 3180, 5336?\n\"Answer: 22*x**3 + 11*x**2 + 33*x - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2370*d**3 - 2106*d**2 wrt d?\nAnswer: 14220","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Are -520887 and -520887 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 12530*p - 25075*p + 6*p**3 + 12428*p.\nAnswer: 6*p**3 - 117*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2 - (11 - 6 - -4) - (58 - 57) - -4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1231 is divided by 83.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 8 and 240?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-104)\/520)\/(2\/530).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = 127*y**3 + 59*y**2 + 2*y - 4. Let d(a) = -507*a**3 - 237*a**2 - 9*a + 17. Let u(v) = 2*d(v) + 9*m(v). Find the third derivative of u(t) wrt t.\nAnswer: 774","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 2040 and -0.02918.\nAnswer: -59.5272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) be the first derivative of l**6\/2 + 229*l**5\/5 - 1253*l**2\/2 + 1309. What is the second derivative of n(v) wrt v?\nAnswer: 60*v**3 + 2748*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence oll when three letters picked without replacement from ooooooloooooloooooo.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 33783046066485 + 2.\nAnswer: 33783046066487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x = -x - 28. Solve 4*b + x = 3*o, 3*b = -b - 8 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = -r**2 - 12*r - 14. What is the remainder when l(-9) is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m = -h + 24, -2*h = 2*m - 23 + 7. Which is the nearest to -1?  (a) 1\/3  (b) -5  (c) m  (d) -303\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -117\/70 and 13\/56?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 653 a factor of 42956632?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((w*w**4*w*w)\/(w**(-5)*w)*w**0*w**(-4\/3))**(-3\/31))**(-5\/7) assuming w is positive.\nAnswer: w**(145\/217)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s be -9 - -7 - (1 + -1). Let h be (s\/6)\/((-9)\/108). Solve -h*z = 7 + 5 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from jjjjpyrppjappakrjp. Give prob of sequence pap.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -25\/6094 and -49\/10526.\nAnswer: 115786","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -22 - 15\/(360\/(-512)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.1 and -7826.\nAnswer: -782.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 47 * -39822\nAnswer: -1871634","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -775*n + 779*n - 132 = 0. Solve 5 = n*k - 28*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13*l = 26 - 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*((1 + sqrt(396) + sqrt(396))**2*6 + (-1 + sqrt(396) + sqrt(396) + -2)**2).\nAnswer: -33309 - 216*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) be the third derivative of -x**5\/60 + x**4\/4 - 2*x**2. Let k = -24 - -30. Determine h(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 434.4613 hours?\nAnswer: 26067.678","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = 2*j**3 + 29*j**2 - 54*j + 29. What is s(-16)?\nAnswer: 125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 102 minutes before 12:12 PM?\nAnswer: 10:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 707.7205 rounded to one decimal place?\nAnswer: 707.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*p = -60 + 44 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -149423, -6, 5, 1, -3 in ascending order.\nAnswer: -149423, -6, -3, -2, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = -1974*w + 51556. Give d(26).\nAnswer: 232","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 624*s - 30709*s + 87375*s + 91319*s.\nAnswer: 148609*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ox when two letters picked without replacement from oxooooxx.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4219*g + 4221*g + 4219*g + 4220*g + 4217*g - 21102*g.\nAnswer: -6*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4200?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 at most as big as 3\/325?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -411 or -410?\nAnswer: -410","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in 1, 2\/3, -0.4, 1.07?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*w**5\/11 - 310*w**4\/11 - 9500*w**3\/11 + 191500*w**2\/11 - 1041250*w\/11 + 1806250\/11.\nAnswer: -2*(w - 5)**3*(w + 85)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 594 is divided by 276?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.2 - 2.2. Which is the third smallest value?  (a) 2  (b) 0.07  (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in nine tenths of a millennium?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15*x = 173507 - 173402 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = -9*g**2 + 2*g - 1. Let a be r(-2). Is 41 a factor of ((a\/(-4))\/1)\/((-1)\/(-8))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = 41448*d - 82378. Calculate i(2).\nAnswer: 518","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -8, 0.28, 185587.4?\nAnswer: 0.28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -68, -326, -988, -2234, -4244, -7198?\n\"Answer: -30*h**3 - 22*h**2 + 18*h - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:20 PM and 11:29 PM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = 136*l**2 + 28*l - 11. Let s be n(8). Let a(g) = 0*g - 4*g + 6*g**2 - 7 - 8918*g**3 + s*g**3. Let y be 0 - (1 + -4 + -2). Determine a(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = 253*l + 616. Let b(c) = -2025*c - 4855. Let p(y) = 6*b(y) + 50*j(y). What is the first derivative of p(o) wrt o?\nAnswer: 500","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = u**3 - 2*u**2 - 4*u + 1. Suppose -2*f - 2*f + 560 = w, f - 3*w = 153. Let d = f - 138. What is h(d)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 62491?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -3470, -6943, -10418, -13889, -17350, -20795, -24218?\n\"Answer: j**3 - 7*j**2 - 3459*j - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -60 from -0.339932121.\nAnswer: 59.660067879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 j and 1 c when two letters picked without replacement from {c: 3, q: 1, a: 7, n: 1, j: 1}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = y**3 + 17*y**2 + 13*y - 14. Let r be z(-16). Suppose -j - r = -3*j. List the prime factors of j.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.03776362597 rounded to three dps?\nAnswer: -0.038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 22 and 744?\nAnswer: 8184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*s + 3*v + 32141 + 208265, -3*s = v - 144252. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -23 - -24. Suppose -y + 4*y = 15. Let q = 8 - y. Sort q, t, 4 in ascending order.\nAnswer: t, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -154, -152, -152, -154, -158, -164, -172?\nAnswer: -182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -17806, -17855, -17902, -17917, -17870?\n\"Answer: 5*f**3 - 29*f**2 + 3*f - 17785","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 e and 1 x when four letters picked without replacement from eexxe?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = -r**2 + r + 12. Let c be g(0). Let q(u) = 1 + 1 + c*u + u**3 + 1 - 10*u**2 - 5. Is q(10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4436631313 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) be the second derivative of l**6\/20 - 11*l**5\/40 + l**4\/2 - l**3\/3 - 90*l. Find f such that t(f) = 0.\nAnswer: 0, 2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000649 to 4 dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Divide 114 by 38.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00005439838995 rounded to 5 dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 29676 is divided by 9885?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Total of 239883 and 54546.8.\nAnswer: 294429.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3 - 1 + 3)*(-676 - 649 + 2707)*(-30 + 7*p + 2*p + 29) to the form h + g*p and give g.\nAnswer: -12438","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -2, 1, 131, 196366.\nAnswer: -2, 0, 1, 131, 196366","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is one quarter of a millennium in months?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -5 + (0 - (-3 - -19) - (980 - 1058))?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 4613?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) be the first derivative of 0*u**4 + u - 3\/20*u**5 + 0*u**3 - u**2 + 2. Let k(a) be the first derivative of b(a). Differentiate k(p) wrt p.\nAnswer: -9*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (1 - 4 + 2)*(-8*n - 3 + 3)*(-89 - 27*n + 89) to the form g*n**2 + m + q*n and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1356158752\/2985 + -2271501\/5. Let d = z + -4\/597. Calculate the common denominator of d and ((-2)\/1)\/(48\/(-237)).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 769253 to the power of 1\/2, to the nearest integer?\nAnswer: 877","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 226 + -1042. Let g = -463 - i. What is the tens digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*r = -8, 2*c = 3*r - 0*r. Suppose -c = a, -5*u - 4*a = -3*a - 187. Is u a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 28, 9, 4, -22 in decreasing order.\nAnswer: 28, 9, 4, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*p - 2*p - 2*z - 4, -4*p - 40 = -4*z. Let b(k) = -k**3 - 6*k**2 + k + 6. Let u be b(p). Suppose 0 = j - u - 3. Which is bigger: j or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -20280 to the nearest 100.\nAnswer: -20300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 2730 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 434957 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 30 = 4*f + 4205*o - 4186*o, 4*f - 74 = 3*o for f.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 1*4 - (0 + -1). Let o(f) = f**2 - 2*f. Let n(u) be the first derivative of -5\/2*u**2 + 4 + 2\/3*u**3 + u. Give y*o(l) - 2*n(l).\nAnswer: l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 times 0.06?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -501*c - 14995 - 245 = 4800 for c.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -111\/1124390 and -39\/2136341.\nAnswer: 21363410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = 109*p**2 - 11*p + 5. Is q(2) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from gjgggjggjwjjg. Give prob of sequence wgj.\nAnswer: 35\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 58.9999885 - 59. Round x to 6 decimal places.\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -58.285 - -51.3. Let o = h + -0.015. Let v = -4 - o. Which is the closest to -1?  (a) v  (b) 1\/9  (c) -0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 49\/4, 22, -2, -0.1, 0.2, 14\/11 in ascending order.\nAnswer: -2, -0.1, 0.2, 14\/11, 49\/4, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -77 + 83. Suppose 3331 = f*q + 445. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in 74992.68 weeks?\nAnswer: 45355572864000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 6\/(-27) + (-4)\/(-18). Suppose -s + 0*s - 3 = b. Which is greater: s or -5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -778*m + 1713*m + 432 = 829*m + 3506 for m.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = 11*g**2 + 2*g - 77. Let i(f) = -13*f**2 - 2*f + 77. Let j(z) = 5*i(z) + 6*w(z). Let c be j(-10). Solve -c*u - u + 8 = 4*r, 2*r = -4 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 57 + -57 + 34 - 15?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-2)\/8 + 13\/4. Let k(c) = c**3 - c**2 - 4. What is the units digit of k(u)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p\/p**(2\/79))\/(p**29\/p)*(p**(-5))**31)**20 assuming p is positive.\nAnswer: p**(-287600\/79)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 92545255 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*h**3\/2 - 436*h**2 - 41269*h\/2 + 2759 = 0. What is h?\nAnswer: -31, 2\/15, 89","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-23 - 6\/(-3))*(-297)\/81. Suppose 2*h - 29 = 3*d, 2*d - 4*d = -h + 12. Calculate the highest common factor of h and k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 15.298 millimeters?\nAnswer: 0.015298","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*f**4 + 30*f**3 + 344*f**2 + 552*f.\nAnswer: -2*f*(f - 23)*(f + 2)*(f + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4550?\nAnswer: 2, 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 9793 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -21 + 40 + 76*n - 19 - 501*n**5 - 946*n**5 wrt n?\nAnswer: -28940*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"}
{"text":"Question: Is 278760 a multiple of 184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.223 less than 0.04?\nAnswer: -0.183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = 6*i - 8. Let c(v) = 5*v - 9. Let f(n) = 3*c(n) - 2*p(n). Let q be f(3). Is (-1)\/4 + (2334\/24 - q) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*r - 5*i + 9 = 0, 0 = -4*r + 5*i - 4 + 3 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -686*c - 2342*c + 160311 = -9257 for c.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express (-1 - 3*s**2 + 1)*(-13*s + 3*s**2 + 9*s - 2 + 8*s) in the form j*s + i*s**3 + g*s**2 + t + v*s**4 and give g.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-234)\/(-54) + -4 + 56\/12.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 18\/12*(-4)\/(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 49\/2 and 5\/1504.\nAnswer: 1504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 636*p - 634*p + 4*j + 10 = 0, -4*p + 4 = -4*j. Which is smaller: -3\/3674 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -430692, -861381, -1292070, -1722759?\n\"Answer: -430689*a - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 34521271 to the nearest integer?\nAnswer: 326","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -18\/25 + 176\/175. Let o = 63\/4 + -16. Let g = 50944\/5 - 10189. Which is the nearest to 1\/4?  (a) o  (b) g  (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -y - 4*j = 20, 10*y = -16*y + 4*j + 10 + 10 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 58 - 64. Let l(v) = 7*v - 4. Let x(s) = 20*s - 12. What is m*x(a) + 17*l(a)?\nAnswer: -a + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -91\/46 or -19422?\nAnswer: -91\/46","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 359478.7ml in litres?\nAnswer: 359.4787","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = x**2 - 18*x + 68. Give i(10).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 16 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 + -227609?\nAnswer: -227613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -42 - -66. What is the tens digit of 1 - 6\/(s\/(-500))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = i**3 + 3*i. Suppose -9 = -5*u - 29, 1156 = 5*z + u. Let h(q) = -z*q + 217*q + 3*q**3 - 9*q**3 - 1. What is -2*h(x) - 11*p(x)?\nAnswer: x**3 - 3*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 21211 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b + 5*g - 3*g = 70, -5*g - 12 = -b. Suppose 80 = 3*s - b. What is the remainder when 76 is divided by s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 169513 is divided by 10684.\nAnswer: 9253","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -7148*j**2*s**3 - 28083*j**2 + s**4 wrt s?\nAnswer: -21444*j**2*s**2 + 4*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*q - 7002*d + 7004*d = -28, 2 = -2*d for q.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 18632 is divided by 2015.\nAnswer: 497","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express (-6 + 3 + 1)*(2 + 2 + 4)*(-3 - 3 + 7)*(-4*m**2 + 12*m**2 - 5*m**2) in the form n*m**2 + v*m + y and give n.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = -d - 14. Let q be h(-10). Let b = 2 - q. Calculate the lowest common multiple of 6 and b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -57 divided by -7?\nAnswer: 57\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 22 a factor of 22743?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = 5*b**2 - 6*b - 2 + 5*b**2 - 11*b**2. Let u be x(-4). Which is smaller: u or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7 plus -1238?\nAnswer: -1231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 4\/7  (b) -1  (c) -2  (d) 0.006\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = -3 - 99*p**2 + 3*p - p**3 + 104*p**2 + p. Does 17 divide u(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g\/g**1)**(-14)*g**(1\/4)*g\/g**(-1) assuming g is positive.\nAnswer: g**(9\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a + 5*f + 4 + 0 = 0, a - 4*f = 11. Suppose -44 = -h - a*h. Suppose -4*i = w - 6 - 0, -5*i + h = 3*w. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:19 PM and 11:18 PM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -2102 - -12120201?\nAnswer: 12111022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 times 22?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -20 (base 12) to base 11\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-94)\/(-141)*-8*66\/4928.\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 47 and 20351.\nAnswer: 20351","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = -z**2 - 7*z - 8. Let h be l(-5). Determine c, given that -14*c**2 - 55*c**4 + 61*c**4 - 2*c**5 + 10 + h*c**3 - 2 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 - 10 - -8 - (-10)\/4.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b**2\/7 + 92*b\/7 + 1058\/7 = 0. Calculate b.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert 8b (base 13) to base 11.\nAnswer: a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 11829 is divided by 44?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 56 (base 12) in base 5?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 1975 divide 370930675?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = a - 56. Let u(d) = -2*d + 98. Let y(o) = 7*k(o) + 4*u(o). Let g(h) = 54*h - 9*h + 46*h + 10*h. Determine y(g(n)).\nAnswer: -101*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -7 in -0.1, 22\/5, 31?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 16, 0, -16, -32?\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 14 - 143\/(-2 - 11) - -1?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"}
{"text":"Question: Solve 3*m + 4*n + 816 = 794, -4*m + 5*n + 12 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = 2*j + i, 3*i - 4 = -5*j + 2*i. Let w = 27 - j. Calculate the remainder when 101 is divided by w.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -237996*w - 237963*w + 475962*w + 17*w**3.\nAnswer: 17*w**3 + 3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = r + 1. Let q(b) = 4*b + 6. Let l(k) = -5*j(k) + q(k). Give l(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 2137, 8560, 19257, 34222, 53449, 76932, 104665, 136642?\n\"Answer: -a**3 + 2143*a**2 + a - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 12\/18*6\/(-4). Let p be 1\/(x\/(3\/21)). Let g = 296 - 296. What is the closest to g in p, 3, -18?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 31 - (0 - -1) - (54452 + -54443).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = k**3 - 3*k**2 - 9*k + 8. Calculate the remainder when l(6) is divided by (1 - (-9 - -1)) + 4.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 30 - ((-2 - 1) + (43 - (44 - 10)) - -3)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -23\/279 + -13\/93. Which is the fourth smallest value?  (a) -5  (b) g  (c) 12\/11  (d) 0.3  (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -52*d + 792 = 532. Let k(h) = -h**3 + 6*h**2 + 3*h + 2. Let v be k(6). Solve 2*y + 3*b + 8 = 5*b, -5*y - d*b = -v for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*i + 805*i**3 + 2*i.\nAnswer: 805*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 83600?\nAnswer: 2, 5, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: (36\/30)\/((-420)\/5600)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7 + (-16 + 2 + 2 - -3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**0\/g**6)**7 assuming g is positive.\nAnswer: g**(-42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 4603622407 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/5 in -0.1, 0.3, 35, -10?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.3 - -0.2. Let v = 6.08 + -6. Let m = v - -0.02. What is the second smallest value in -1, m, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -5, 2, 56, -9.\nAnswer: -9, -5, 0, 2, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-84)\/(-63))\/((-24)\/(-2232)). Calculate the highest common divisor of 682 and d.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -11*m - 4*m + 17*m - 5*m.\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2880)\/(-600)*(-40)\/12?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ov when two letters picked without replacement from {v: 4, o: 7, t: 5}?\nAnswer: 7\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.078 - 98.922. Let o = -99.2 - d. What is the nearest to -1 in 0.4, -5, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = -498*k**2 - 476*k - 14. Let b(i) = -500*i**2 - 462*i - 16. Let z(v) = -4*b(v) + 6*p(v). Factor z(l).\nAnswer: -4*(l + 1)*(247*l + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 58758025127 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -4103  (b) 0.2  (c) 0.1  (d) 0.4  (e) 17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*a - 3*u - 2*u - 20 = 0, 6 = -3*u. Let g be 1 - 54\/(a*1). Suppose -2*i + 10 + g = 0. Is i a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) be the first derivative of z**4\/4 - z**3 - 17*z**2\/2 + 20*z + 71. Let s be r(6). Solve s*c = 23*c + 9 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1116 - 1115. What is the closest to u in 0.4, 1, -27?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (1573 - 202*k - 1573)*(53*k + 2264 - 2264)*(-2*k + 3 - 3) in the form s*k + w*k**3 + y*k**2 + d and give w.\nAnswer: 21412","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 14 a factor of 3332?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.3008 + 20.6692. Let k = -0.27 + t. Round k to 0 dps.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-528)\/(-58) - 5223\/50489?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -52 = -3*z + 5*z. Let q = 37 + z. What is the remainder when q is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**0)**(2\/121)\/(k**(-8\/7)*k*(k\/k**(-3))\/k) assuming k is positive.\nAnswer: k**(-20\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -7\/180 and 70\/95139.\nAnswer: 1902780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7 = -4*u - 4*a + 45, -5 = -a. What is the least common multiple of (-5)\/(-4)*(33 - 25) and u?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = 4*p + 1. Let t(n) = n - 6. Let y(c) = -5. Let q(g) = 4*t(g) - 5*y(g). Let m(z) = -5*b(z) + 4*q(z). Let j be (5 - 2)*2\/(-3). Give m(j).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1032069?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 1055297239 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 15.820128*-0.2\nAnswer: -3.1640256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 19910137 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5 + 0 - 4)*(-4*z - 2*z + 3*z)*((-15*z + 20*z + 39*z)*(4 - 2 + 1) + (0*z + z + 0*z)*(0 + 1 + 1))*(3 + 4 - 5).\nAnswer: -804*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = z**2 - 5*z - 38. Let j be c(-9). Let m = -84 + j. Suppose -4*t + m*a + 50 = -t, -3*t + 2*a + 58 = 0. Calculate the remainder when t is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 95936 is divided by 1813.\nAnswer: 1660","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = -2*c**2 + 11975*c + 47922. Calculate n(-4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 162075*c - 80352*c - 81755*c - 1.\nAnswer: -32*c - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Does 189 divide 170296371?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = 26*u**3 - 6*u**2 + 28*u - 43. What are the prime factors of d(7)?\nAnswer: 67, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 110 minutes before 11:55 PM?\nAnswer: 10:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -340 - -339.7. What is the closest to -0.1 in 5, t, 0.04, -5?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13*u + 11 = 4*k + 8*u, 4 = 4*u for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2006 is divided by 41.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l + 148 = 2*f, -f - 3*f - 133 = 3*l. Let v = -30 - l. Suppose 4*r + 3*y = r, 4*r - v = -y. Solve 9 = -3*j - 2*i, -2*j - i = r*j + 8 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 356*u + 214443 - 211239 = 0 for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round -966888.98 to the nearest 100.\nAnswer: -966900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = f**2 - 6*f - 19. Let l be g(9). Calculate the highest common factor of l and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 160034866177 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = -2*u**2. Let r(b) = -b**2 - 21*b + 41. Let z be r(-22). Let v(x) = -10*x**2 - 10 - 3 + z*x**2. Give y(v(n)).\nAnswer: -162*n**4 + 468*n**2 - 338","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2527910 is divided by 17.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = -346054*a - 11. Determine l(0).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 0.042, -110, 6?\nAnswer: 0.042","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 38666*n**2 - 2*n - 5662 wrt n?\nAnswer: 77332","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = 26*u**2. Let o(r) = 384515*r**2 - r. What is o(m(z))?\nAnswer: 259932140*z**4 - 26*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -27*a - 42*a - 6*a - 75 = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 881202 a multiple of 228?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 19 - 18. Let l = 2248 - 2244. Which is the nearest to 14?  (a) l  (b) 2  (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -480 - 2?\nAnswer: -482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) be the first derivative of 2*f**3\/3 - 5*f**2 + 19*f + 26. What is the least common multiple of g(4) and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 5.12 + -0.12. Let p = -0.344891 + 0.044891. What is the second biggest value in 0.4, j, 1, p?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -54*s - 4611 = -23943. Calculate the remainder when s is divided by 74.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 2\/5  (b) -61\/3  (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 1 + 0)*(-6*d**2 - 24*d + 55*d - 24*d)*(-20 + 5 - 24)*(1 - 2 + 3).\nAnswer: 936*d**2 - 1092*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 33200000 rounded to the nearest one million?\nAnswer: 33000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 1594 - 1593.752. Let c = -24269.2879853 - -24269.04. Let s = d + c. What is s rounded to six decimal places?\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 1471, 1466, 1431, 1354, 1223?\n\"Answer: -2*s**3 - 3*s**2 + 18*s + 1458","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 < 0.114?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -86*d + 108*d - 7533 = -71*d. Let h = -677 + 1406. Calculate the greatest common divisor of h and d.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 80078?\nAnswer: 2, 40039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from phelglf. What is prob of picking 1 p, 1 h, and 1 l?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -2655\/3169 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = 4 + 0 + 9*u - 5 + 16. Let q(r) = 18*r + 31. Let b(j) = 5*h(j) - 2*q(j). Differentiate b(g) with respect to g.\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -64 + 12 = -4*s. Let u = s + -9. Solve u*a + 4*g + 20 = 0, -5*g - 30 = 4*a - 6 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.2?  (a) -0.05  (b) -0.3  (c) 0.3  (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 18 a factor of 867?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 592 - 591. Which is the nearest to 3?  (a) 5\/12  (b) d  (c) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -22 + 31. Let p = -18 + b. Let r = 8.9988 + p. What is r rounded to three decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-6)\/(-10) - (9447\/(-235) + 41))\/((-3)\/(-130))?\nAnswer: -26\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 35 divided by 119.\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 327 + 1?\nAnswer: 328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 divided by -1146896.\nAnswer: -5\/1146896","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Does 38 divide 6004?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -61, 0.204, -4?\nAnswer: 0.204","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 41\/200 and -117\/1677016?\nAnswer: 41925400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 11681 <= 10957?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Does 138 divide 83068272?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2633 is divided by 16?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*g - 10, -4*i - 5*g + 19 = -7. Put 25, i, -3 in decreasing order.\nAnswer: 25, i, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -23*l - 163 = -48 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7393*z = -7416*z - 1035 for z.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -67074260 = -11*m - 9*m. Let j be (-37 - m)\/((-2)\/(-16)). What is j rounded to the nearest one million?\nAnswer: -27000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -23.6 and 47520?\nAnswer: 47543.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 2*s**3 - s**3 - 1124 - 436 - 1357 - 1438*s**2 + 98 wrt s?\nAnswer: 3*s**2 - 2876*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence idz when three letters picked without replacement from {e: 2, d: 2, i: 1, n: 9, z: 3, f: 1}?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xv when two letters picked without replacement from {v: 4, x: 2, u: 3}.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = -12*t**2 + 206*t + 1. Calculate the lowest common multiple of z(11) and 30.\nAnswer: 4890","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in thirty-seven halves of a microgram?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 323161 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**4\/(j*j\/j**0*j))\/(j**(-2))**14 assuming j is positive.\nAnswer: j**29","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1*sqrt(15)*4*5*-3)\/(sqrt(36)\/(-5*sqrt(75) - sqrt(3))))**2.\nAnswer: 3042000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 1539496*r**4 - 354402 with respect to r.\nAnswer: 6157984*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -219650*s + 439832*s + 16*s**2 - 220182*s.\nAnswer: 16*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {c: 1, l: 11, i: 1}. Give prob of sequence lll.\nAnswer: 15\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in -2\/21, 12, 1\/4, 0.08?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 49193 divided by -4\nAnswer: -49193\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = -10*a + 40. Calculate l(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = u**2 + 3*u. Let g be c(-3). Let l = g - 0. Solve -o + 3 - 1 = l for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8863 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 378.86 + -378.8. Which is the nearest to 1?  (a) t  (b) 2\/3  (c) 18  (d) 2\/21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*m + 4 = -4*m. Let j(b) = -2*b - 6. Let h(u) = u + 5. Let v(l) = m*j(l) + 3*h(l). What is v(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 81817 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 50095296?\nAnswer: 2, 3, 29, 2999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(1008) + 2)*5 - (-2*sqrt(1008) + 3 - sqrt(1008))**2 - 3*(sqrt(1008) + (4*sqrt(1008))**2 + -5 - sqrt(1008))) + 0.\nAnswer: -57440 + 276*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 255108937 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = 2*g. Let r(q) = 1490*q**2. Determine p(r(n)).\nAnswer: 2980*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -18877 - -19791. What is the remainder when n is divided by 216?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 23 - 11. Suppose 1268 = -20*h - 16992. Let z = h + 916. Solve -s = -w + 4*w + k, -w + 2*k + z = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (48\/18)\/(162084\/(-81045) - -2). What are the prime factors of u\/90 + (-6)\/27?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 246*b + 315 = 291*b for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 21\/2 of a gram in milligrams?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:14 PM and 5:37 PM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from kkamaaam. Give prob of picking 1 a and 1 m.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 138950035?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*s - s + 3*s - 18*s - 16*s + 42*s - 1 + 1 - s - 1 + s + 1 + (1 - 1 - 2*s)*(-3 + 5 - 3) - s + 2 - 2 + 0*s - 4*s + 3*s)*(0*s + 2*s + s).\nAnswer: 30*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11*t + 161 - 137 = 7*t - 6*m, t + 4*t = -5*m - 25 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -3220, -3218, -3206, -3178, -3128, -3050, -2938?\n\"Answer: g**3 - g**2 - 2*g - 3218","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 67045760 (base 8) to base 2.\nAnswer: 110111000100101111110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 = 3*y - 3. Solve -y*s + 8 = b, 0*b + 3*b = -12 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10213120112 (base 4) in base 9?\nAnswer: 2243568","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v + 14 = 2*d, v = -8*d + 4*d + 28. Suppose -l - 3 = -d. Let u = -220\/909 + 2\/101. What is the closest to 1 in -0.2, l, u?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 12.6 - 15.6. What is the closest to -1 in 1\/5, s, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 2 + 1. Let r(s) = -22*s - 130. Let k be r(-6). What is the greatest common divisor of g and k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 - 1 = -q. Suppose 0 = 4*z - q*z. Suppose z = 7*x - 3*x - 3*k + 7, 5*x - 5*k = -15. Solve t = -x*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find i such that 4*i**2 - 92*i - 2496 = 0.\nAnswer: -16, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-l + 3*l**3 - l**3 + 3*l)*(-3*l - 3 + 3)*(6 - 9 - 3).\nAnswer: 36*l**4 + 36*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s = s + 60. Let z be (-3)\/(-9) - (-924004)\/s. Round z to the nearest 10000.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -21190 to the nearest one thousand.\nAnswer: -21000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -1499.49892 - -14.76492. Let a = c + 1456.73389. Let p = a + 28. What is p rounded to 4 dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 132 and 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {c: 7, e: 1, k: 3, p: 3}. Give prob of picking 1 c, 2 p, and 1 e.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 451511 is divided by 293.\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*n**3 + 3100*n**2 + 72134*n + 352352.\nAnswer: -2*(n - 1573)*(n + 7)*(n + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 17087590 is divided by 81?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (9 - 1 - 2)*(-5*t**4 + 7*t**4 + 14*t**4).\nAnswer: 96*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is -9 > -12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -74.9 - -72. Let v = d - -3. Suppose 0 = -6*t + 4 + 2. What is the biggest value in t, v, -1\/4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -186*z - 9 + 28 + 218*z - 16.\nAnswer: 32*z + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -81\/94 and 3\/47*(68\/120 - 8\/(-20)).\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*l**2 - l + l)*(-24 + 5*l + 24)*(-4*l + 2*l + 4*l).\nAnswer: -20*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 77 and 99.\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Add together 12.1 and 5.97.\nAnswer: 18.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) -1\/3  (b) -6\/7  (c) -2.7  (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 70 + -72. Let h = -186 + 130. Sort z, h, -3.\nAnswer: h, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y - 2*b = 7*y - 1273, -2*y = 2*b - 850. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 58.1 - 47. Round j to the nearest integer.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.33, 2.8, 0 in decreasing order.\nAnswer: 2.8, 0.33, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 27*n - 1947 = 16*n. Suppose 7*j - 4*j - 2*m = 68, -3*m = -j + 32. Calculate the remainder when n is divided by j.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 210, 423, 638, 855, 1074, 1295?\n\"Answer: d**2 + 210*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-182624)\/1198470*(-1 + (-2)\/4*3).\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"}
{"text":"Question: Let q(d) be the third derivative of d**4\/24 + 3*d**3\/2 - 5*d**2. Let p be q(-9). Solve p = 4*g + 3*r + 25, 4 = -2*g + r - 1 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) be the third derivative of 0*h + 1\/12*h**5 + 1\/6*h**4 + 0 + 0*h**3 - 5*h**2. What is the second derivative of y(d) wrt d?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) be the second derivative of 11*c**6\/15 - 10*c**3\/3 - 17*c. What is the second derivative of i(l) wrt l?\nAnswer: 264*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 563 = 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from aadowpoawo. Give prob of picking 1 d and 1 p.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((d**2\/d)**(-34))**(3\/23))**1)**(1\/37) assuming d is positive.\nAnswer: d**(-102\/851)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -5cc (base 13) in base 11?\nAnswer: -841","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -2 + -10. Let j = 4829 - 4817. What is the least common multiple of j and (-910)\/d - (-2)\/12?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 7 + -8. Let v = q + 0.8. Let b = 0 + 0.4. What is the nearest to -2\/3 in v, -2\/7, b?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0 - 1. Let t(n) = 3*n**3 - 19*n**2 - 21*n + 48. Let q be t(7). Are q and s unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*x**3 + 0*x**3 + 3*x**3)*(2 + x**2 - 2) + x - 24*x**5 - 16*x**4 + 16*x**4 + 0 + 2*x**5 + 0.\nAnswer: -17*x**5 + x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 1*(-6)\/(-2)*(-110)\/(-30). Let y(o) = -401 + 401 + w*o + 47*o. Let q(c) = -2*c. What is y(q(n))?\nAnswer: -116*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(1900)*-1*1 - (-2 + sqrt(1900)*-1 - sqrt(1900)))*6 - ((5 + 2*sqrt(1900) + sqrt(1900) - (1 + sqrt(1900) + 2)) + -4))**2.\nAnswer: 1120*sqrt(19) + 30596","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 9.768047ng in kilograms?\nAnswer: 0.000000000009768047","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 141 + -134. What is the remainder when 31 is divided by -3 + 3 + 0 - q\/(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = q**3 + 2*q**2 - 3*q + 1352. Let j be a(0). Suppose j + 11716 = 33*i. Does 22 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4423450778.\nAnswer: 2, 47, 59, 797593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -398 - -548. What is the greatest common factor of 225 and p?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: (34\/4794*42)\/(63\/9)\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 5756873 to the nearest integer?\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*p + 3*p - 2*p**2)*(14*p - 7*p + 4*p) - 1 + 1 - 3*p**3 - 2479 + 1239 + 1240 + 548*p**3.\nAnswer: 523*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 844?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = 90*f**3 - 105*f**2 + 105*f - 105. Let m(l) = -l**3 + l**2 - l + 1. What is -2*c(u) - 210*m(u)?\nAnswer: 30*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 31022 + -10?\nAnswer: 31012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -1\/26, 3, 28 in increasing order.\nAnswer: -1\/26, 2, 3, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -2*w**3 + 2453*w**2 + 4882*w - 235811754?\nAnswer: -6*w**2 + 4906*w + 4882","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 59 = -50*h + 33 - 124 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 409 - 404. Let j be ((-15)\/12 - -1)*-2. Let v = -618 - -613. Which is the second biggest value?  (a) -6  (b) j  (c) v  (d) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate k**4 + 224*k - 480 with respect to k.\nAnswer: 4*k**3 + 224","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from isinissiiiccicss?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is thirty-one fifths of a tonne in kilograms?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 10196014.\nAnswer: 2, 5098007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 60\/21*2044\/(-584)*4\/(-10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 5068139 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = -s**3 + 8*s**2 + 9*s - 9. Determine w(7).\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round -58294300 to the nearest 100000.\nAnswer: -58300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 58 and 1682?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 67722174 divided by 15597\nAnswer: 4342","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {f: 9, t: 1, u: 3, x: 5}. What is prob of picking 1 x and 2 u?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 586 minutes before 11:53 AM?\nAnswer: 2:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = p**3 + 9*p**2 - 13*p + 6. Let i be x(-10). Suppose -d + 3 = -2, 5*a = 4*d + 25. What is the highest common factor of i and a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k - 4*x = -6*x - 19, 25 = 3*k + 4*x. Let g(n) = -n**3 + 9*n**2 - 4*n - 30. What are the prime factors of g(k)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 372495982 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -0.05 * 7.76\nAnswer: -0.388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 279003?\nAnswer: 3, 93001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 253209214.\nAnswer: 2, 67, 1889621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c + 10*m - 13*m = 3297, -3*m + 8190 = 5*c. Calculate the remainder when c is divided by 31.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 - (1 - 0) - (48 + -52).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 100a - -30?\nAnswer: 103a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from vvmswsvssvs. Give prob of sequence mw.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2\/(-4))\/(3\/(-6))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 65 - (20 - -1 - 28) - 17.\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -4.8 + 4.792. Round u to 3 decimal places.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 4 and 2.198?\nAnswer: 8.792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2345615585?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v + 3*r + 2*r = -110, 3*v = -2*r + 76. Is v a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = -j**2. Let k(p) be the third derivative of -p**5\/12 - p**2 + 310*p. Determine f(k(v)).\nAnswer: -25*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Does 274 divide 30688?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in -0.08, 33, -5, 0.03?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 q, 1 v, and 2 o when four letters picked without replacement from vqpvuvovoqovqvq?\nAnswer: 24\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -5.049 - -1.049. What is the second smallest value in 198, 0, k?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 728*o = 729*o - 3*j + 56, -4*o + 156 = 8*j for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = -91*g**3 - 28*g**2 + 56*g - 28. Let a(j) = 10*j**3 + 3*j**2 - 6*j + 3. Determine -28*a(f) - 3*h(f).\nAnswer: -7*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 9 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -452*w**5 + 16*w**4 + 32913*w**2.\nAnswer: -27120*w**2 + 384*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1462\/27 + -54. Let h = 32\/27 + u. Let v = 2 + h. Which is bigger: 3 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) be the second derivative of -11*h**5\/10 + 2*h. Does 14 divide y(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-11)\/((-308)\/(-24))*3*98\/(-189)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r = 5*r + 4976. Let z be (-6)\/21 + r\/7. What is the common denominator of 123\/10 and ((-3)\/9*z)\/(-8)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*n**5 + 2110368 - 2110368 - 667*n**4 + 2*n**4 - 2*n**4 + n**5 + (3*n**2 - 3*n**2 - 2*n**4)*(n + 3*n - 3*n).\nAnswer: -3*n**5 - 667*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 + 8 = -4*z. Let v be (z\/5)\/(-1 - 0). Suppose -m + v = -2*m. Let b(d) = 2*d**2 + 1. Give b(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2845488 is divided by 948257.\nAnswer: 717","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3 (base 11) to base 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 5378, 5431, 5482, 5531, 5578, 5623, 5666?\n\"Answer: -d**2 + 56*d + 5323","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 2305.2 - 2304.496. Do 6 and c have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 842 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort 94, -22, 7, -5, 1, 6, 3.\nAnswer: -22, -5, 1, 3, 6, 7, 94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find l, given that 9*l**4 + 16*l**3 - 4*l**2 = 0.\nAnswer: -2, 0, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 559623474?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = 8*t - 213. Let r be s(27). Let l(q) be the second derivative of -q**2 - q**r - 7*q - 1\/2*q**4 + 0 - 1\/10*q**5. Solve l(z) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n = 5*n - 30. Let t(o) = -29*o - 25*o + 83*o - 19 - 30*o + o**2. Calculate the remainder when t(8) is divided by n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when -2*(1 - 2) + 25 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3382729?\nAnswer: 7, 483247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -102 + 104. Solve -16*v = -k*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r - r + 9 = -2*x, x + 5*r - 18 = 0. Let c = x - -160. Let o = -106 + c. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 225 and 158800.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1339731.579 - -1339836.5789839. Let f = 105 - h. Round f to 6 dps.\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of -42 and 1.44698709.\nAnswer: -40.55301291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 482 minutes after 2:55 PM?\nAnswer: 10:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort 627, 2\/9, -2\/5, -1\/4, -1\/6 in increasing order.\nAnswer: -2\/5, -1\/4, -1\/6, 2\/9, 627","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 670 minutes before 7:57 PM?\nAnswer: 8:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t - 5*f = -4*f - 13, -4*t - f = -61. Let l = 26 - t. Let g = -4 + l. Is 2 less than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -4.3 * -0.46.\nAnswer: 1.978","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 2814800.31 rounded to the nearest one hundred?\nAnswer: 2814800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -22*c**3 - 6398 + 3199 + 3199.\nAnswer: -22*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1.09?  (a) -1  (b) 4  (c) -0.78  (d) 0.4  (e) 3\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of ((-496)\/(-10))\/2*(-3 - -43)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6 = -3*c, 555*a - 4*c - 35 = 187*a + 189*a + 182*a for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) be the third derivative of h**8\/5600 - h**7\/4200 - h**6\/1200 - h**4\/8 + 4*h**2. Let z(p) be the second derivative of m(p). Factor z(b).\nAnswer: 3*b*(b - 1)*(2*b + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 106185197 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = g. Let q(c) = -1313*c. Give q(w(r)).\nAnswer: -1313*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = -189*t**3 + t**2 + 3*t - 5. Let u be f(1). Is u\/(-57)*1728\/5 a multiple of 64?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y*y**(2\/11))**(-24)\/(y**(-11)\/y*y\/y**1))**(2\/17) assuming y is positive.\nAnswer: y**(-360\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7*u**2 + 173*u - 1606 - 179*u + 1606.\nAnswer: 7*u**2 - 6*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find h, given that -h**3\/10 + 1011*h**2\/10 - 258039*h\/10 + 253009\/2 = 0.\nAnswer: 5, 503","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 8 + -6. Suppose 0 = -5*f - 10, 4*p + n*f = 2 + 2. Suppose -p*j = 2*j - 20. What is the smallest common multiple of 8 and j?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 9981678\/19595 - 2547\/5. Is 0 equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-7 - 1) + -10 + (32 - 10).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v - j = -3*j + 5480, 4*v = 2*j - 4386. What are the prime factors of -2 + (-21)\/(-6) - v\/4?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = b**3 + 37*b**2 + 88*b + 4765. Give t(-39).\nAnswer: -1709","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 38039 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 69*k - 276 = 69 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -1d (base 16) to base 6\nAnswer: -45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = -k - 17. Let i be (0 + 0)*(-5)\/15. Give p(i).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -11\/65 and -101\/26.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Put together -3576262079275 and 0.21.\nAnswer: -3576262079274.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 123 - 75. Let h be ((-180)\/(-10))\/6*1. What is the highest common divisor of h and w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve k**3 - 86595*k**2 + 86592*k + 173188 = 0 for k.\nAnswer: -1, 2, 86594","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -12*l + 4*l + 152. Calculate the greatest common divisor of l and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*y - 595 + 619 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = d**3 + 11*d**2 + 24*d - 15. Calculate the least common multiple of y(-5) and 996.\nAnswer: 4980","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1452 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -108 - 37 = -5*u. Suppose 0 = -3*v + 3*m + u + 4, m + 31 = 3*v. What is the smallest common multiple of (-1)\/(-1) + 1 + 8 and v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) be the third derivative of s**5\/120 + s**4\/8 - 35*s**3\/6 + s**2 - 28. Let v(b) be the first derivative of u(b). Calculate v(-11).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.2 times 0.07?\nAnswer: -0.014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Does 18 divide (-20*-89*(-18)\/135)\/(4\/(-6))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 83 in -3, -0.1, 34.31?\nAnswer: 34.31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 305 minutes before 2:54 PM?\nAnswer: 9:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = -x - 21. Let m be s(-13). Calculate the common denominator of -63\/4 and (30\/m)\/3 + (-59)\/(-177).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1.91 + 0.09. Let o be -2 + 5 + 1 - 1. Suppose 1 = -2*m + o. Sort m, -0.1, q in decreasing order.\nAnswer: q, m, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 140, 282, 468, 698?\nAnswer: 972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express 15411*b - 15411*b - 3 - 695*b**4 - 2*b**3 in the form a*b + t*b**2 + s + z*b**3 + v*b**4 and give v.\nAnswer: -695","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/20 of a meter in centimeters?\nAnswer: 5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*h - 50 = -s + 2*h, -4*h + 306 = 5*s. List the prime factors of s.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = 24*x**2. Let f(r) be the second derivative of -r**3\/3 + 20*r**2 - 3415*r. Determine w(f(s)).\nAnswer: 96*s**2 - 3840*s + 38400","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find k such that 12*k**5\/7 - 486*k**4\/7 - 282*k**3\/7 + 1482*k**2\/7 - 234*k\/7 - 492\/7 = 0.\nAnswer: -2, -1\/2, 1, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*f**2 - 15*f**3 + 5*f**2 + f**2.\nAnswer: -15*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 3769127 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -1301231101 (base 4) in base 5?\nAnswer: -104400440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from arhbb. Give prob of picking 1 r, 1 h, and 1 a.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*i**3 - 8*i**3 + 0*i**3 + (i - i + 2*i)*(2 - 3*i**2 - 2) to z + w*i**2 + n*i**3 + l*i and give n.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 83 - 3?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) be the first derivative of -o**6\/720 + 7*o**5\/240 - o**4\/8 + 5*o**3\/3 - 17. Let h(s) be the third derivative of u(s). Factor h(p).\nAnswer: -(p - 6)*(p - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of ((-735)\/180)\/(1*-1) and (-2)\/(-4) + 495\/(-20)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -16843 less than 0.5?\nAnswer: 16843.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 2293599 and 30472101.\nAnswer: 213304707","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (17 - 10)*2\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -5562, -10986, -16366, -21702?\nAnswer: -26994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 75\/2 of a litre?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-56)\/12)\/((-2)\/6). Solve -5*z + 2 - c = g, 4 = -z - g for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = -8*k**3 + 2*k**2 - 2*k. Let w(p) = 215*p**3 - 55*p**2 + 55*p. Determine -4*w(j) - 110*x(j).\nAnswer: 20*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from bqooqbobdqdqbzqbzoo. Give prob of sequence bqbd.\nAnswer: 25\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = 4*o**2 - 3*o + 2. Let r = -9 + 12. Suppose -2*c - 15 = r*c. Let w be (c + 5 - 3) + 2. Let y(j) = -j**2 + j. Determine w*s(l) + 5*y(l).\nAnswer: -l**2 + 2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t + 21 = 3*d, -d = -t + 6*t - 23. Let p be (-24)\/9*6\/(-4). Find the third derivative of -23*q**3 + 2*q**2 + 23*q**d + 4*q**4 - 6*q**p wrt q.\nAnswer: -48*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i - 6*i = -705. Calculate the highest common factor of 47 and i.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -93\/18656 and 73\/968?\nAnswer: 205216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -2, 4, 2, -14 in decreasing order.\nAnswer: 4, 2, -2, -5, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 7 or -198.1?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 1*-138 + (6 - 14) + 4. Let b = t + 145. Find the second derivative of -33*m - 15*m + m + 14*m**b + m**3 wrt m.\nAnswer: 90*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/13 in -5, 0.3, 0.02, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:37 AM and 1:02 PM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 1012102 - -11?\nAnswer: 1012120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1819*w - 1815*w - n = -2*n + 43, -3*n + 19 = w for w.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 74 - 53. Let z(y) = -y**3 + 20*y**2 + 24*y - 16. Calculate the remainder when z(k) is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.17 + 0.87. Let n = -39.2946 + 38.8946. Sort z, n, 4 in decreasing order.\nAnswer: 4, z, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 89*q = 91*q - 10668. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -34 + 37. Suppose 2*x + 851 = 5*o + 255, i*o - 5*x = 350. What is the third derivative of -17*w**2 + o - 120 + 8*w**3 wrt w?\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 5545394, -5, -6 in descending order.\nAnswer: 5545394, 4, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 2 and -5.27813?\nAnswer: -10.55626","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = 190*k + 2. Let r be b(-3). Let t = 571 + r. Solve 2*d - u = -12, -3*d = -0*d - t*u + 24 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/10 of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in -0.06699, -5, -2\/3?\nAnswer: -0.06699","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*q - 8 - 4. Let s be 4*q + -2 - (2 + -3). Differentiate 10*c - 25*c + 3 + s wrt c.\nAnswer: -15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = -11*k - 82. Let x be f(-8). Let l(i) = 4*i**2 - 6*i - 2. Let w(g) = -7*g**2 + 11*g + 3. Let t(n) = 5*l(n) + 3*w(n). What is t(x)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"}
{"text":"Question: Is 4938691801 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -11\/14 - -1\/28. Sort -8, -1\/3, -2\/9, u in descending order.\nAnswer: -2\/9, -1\/3, u, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -a7 - 0?\nAnswer: -a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 3.743 rounded to 1 decimal place?\nAnswer: 3.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h - f + 4 = 0, f - 11 + 7 = 3*h. Suppose 5*m - 2*t = -h*t + 40, -5*t = 2*m + 13. Calculate the remainder when m is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -3?  (a) 0.004  (b) -4  (c) -188\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 30 and 414?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 534.0707ms?\nAnswer: 0.5340707","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = 5*o**2 + 62*o - 62. What is q(-16)?\nAnswer: 226","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -9, -15, -23, -33, -45, -59, -75?\n\"Answer: -p**2 - 3*p - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 7\/(((-8)\/(-16))\/(3 - 25\/5)).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = -i**3 + 5*i**2 + 4*i - 10. Let n be h(5). Let a(c) = c**2 - 11*c + 4. Let r be a(n). Let t be (0 - (-10)\/r)\/((-2)\/30). Solve -2*d = 3*d - t for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u**2\/7 + 1220918*u\/7 = 0. Calculate u.\nAnswer: 0, 610459","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f + 15 = x, -26*f + 23*f - 55 = -4*x. Suppose 10 = 6*v + x. Solve 0 = -v*z + 5*z - 10 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -180+0.050872981193\nAnswer: -179.949127018807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve v**3\/6 - 1069*v**2\/3 + 23336*v\/3 - 42320 = 0.\nAnswer: 10, 12, 2116","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 0 or 514\/3059?\nAnswer: 514\/3059","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 119\/1962 and 55\/1285764.\nAnswer: 3857292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 11050199 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-3)\/(-77))\/((-147)\/(-686))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = 2893*a - 60674. Give w(21).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k*k**15)\/(k\/(k\/(k\/k**(-3)))) assuming k is positive.\nAnswer: k**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 42\/15 + (-5)\/(-25). Suppose -460 - 107 = -q*z. What is the greatest common divisor of 42 and z?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) be the first derivative of 31*d**5\/120 + 28*d**3\/3 - 23. Let f(t) be the third derivative of k(t). Let l(n) = 2*n**2. Calculate l(f(u)).\nAnswer: 1922*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 98 + -42. Suppose n*l - 60*l + 60 = 0. Solve -4*t - 3*x + 25 = 0, x + 0*x - l = -3*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 391952053 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -231 + 129. Let c = p + 103. Let g = 371\/24 - 46\/3. What is the nearest to c in 5, g, -5\/6?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = -o**2 + 5*o + 8. Let q be r(6). Suppose -5*i + 3*b - 3 + 51 = 0, 12 = -3*i - 5*b. What is the greatest common divisor of i and q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = -v**3 - 16*v**2 - 14*v + 18. Let c be b(-15). Solve 25 = 7*d - c for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j = z - 31, 12 + 8 = -4*j. What is the common denominator of (-140)\/(-22) - (7 - 4) and ((-20)\/(-6))\/(21\/z)?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 576053 * -0.1\nAnswer: -57605.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -103019485, -103019484, -103019481, -103019476?\nAnswer: -103019469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 833175117 to the nearest integer?\nAnswer: 941","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 557\/868 - -132\/217. What is the third smallest value in 1.541, -3\/2, -4, w, 4\/3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = 36*r + 5. Let y be d(5). Let l = y + -59. Suppose 0 = 2*s + 38 - l. What is the tens digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 11313 + -1420?\nAnswer: 4343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(228) + sqrt(228)*5)*-1)\/(4*sqrt(12)*-4).\nAnswer: 3*sqrt(19)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 2849 a multiple of 141?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2 - 2 - (-10 + 11 + -4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = 275*p**2 - 4398*p - 20. Let s be t(16). Solve -16*j - 2 = -3*i - s*j, -j = 2*i - 5 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 14 divide 689266?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 35*y**5 + 22*y**5 + 51*y**2 + 3*y**2 wrt y?\nAnswer: 3420*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 169?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*h + 35 = 3*r, -7*r + 12*h + 67 = 13*h for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d - 3*t = 3, 3*d = -d + t + 16. Solve p = 5*x, d*x + 3*p = -p for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 1, 0, -2.6, -2\/17, 0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.9063015ml to litres.\nAnswer: 0.0009063015","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2599 - 2681 + 7544)*(h + 0 + 1 - 2).\nAnswer: 2264*h - 2264","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 155 - 147. Suppose 15*z - 1722 = l*z. Is 41 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t - 3*w = 4, -4*t - w = -2*t - 8. Solve -4*m - t*a = 20, -20 = -m + 5*m + 5*a for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -2.8351 and -1.16.\nAnswer: -3.9951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d**5 - 6*d**4 - 3*d**3 + 6*d**2 = 0. What is d?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Add together 0.05121 and -0.003.\nAnswer: 0.04821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -19 - -13. Let d = 8 + w. Let r be (-10)\/25 + 26\/(-10). What is the second biggest value in r, d, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {z: 1, n: 3, b: 3, q: 6, f: 2}. Give prob of sequence zf.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 496 minutes before 10:20 AM?\nAnswer: 2:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-114)\/(-15) + 3\/(-5). Suppose 4*n = -4*t - 12, -3*n + 12 = 5*t - j*n. Solve t = 2*c - 4*c + 4 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) be the first derivative of -22 + 0*n**2 - 18*n - 11\/3*n**3. What is the derivative of i(x) wrt x?\nAnswer: -22*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = -n**3 - 34*n**2 + 385*n + 30. Let k be i(9). Let z(p) be the second derivative of 0*p**2 - k*p + 0 + 11\/6*p**3. Let d(h) = -4*h. Determine d(z(j)).\nAnswer: -44*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*j + 3*q + q - 2, q = -3*j + 13. Let i(m) = -m**2 + 2 - 4*m + 0*m - 3*m**2 + j*m**2. Is i(9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 5 by 284473.\nAnswer: 5\/284473","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1 + 2*r - 15*r - 3*r + 20*r - r**3 to the form k*r**3 + b + a*r**2 + z*r and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 16*u - 200 - 248. What is the least common multiple of u and 63?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3 (base 6) to base 4\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 4 + 4\/(16\/(-340)). Does 6 divide (1 - 4) + (k\/(-3))\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 11*i - 5629 + 5629.\nAnswer: 11*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -j**2 + 7 - 7*j**2 - 7 + 5*j**2.\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 f, 1 x, and 2 a when four letters picked without replacement from afxaxaxfaaaaaaaafafa.\nAnswer: 312\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -37 = z + 3*d, -5*d - 15 = 2*z + 54. Let c(a) = -13*a + 21. What is the tens digit of c(z)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -p**3 - 8*p**2 - 7*p.\nAnswer: -p*(p + 1)*(p + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = p**2 + 5*p - 1. Suppose 4*h + s - 7 = 0, 1 = -5*h - 5*s + 6. Suppose 10 = -h*w - 0. Give m(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 46?  (a) 1\/2  (b) -1\/2  (c) -3\/7  (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1497 - -1513. Let z = 452 - 97. Suppose -i = -o + z. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 84529 or 84533?\nAnswer: 84529","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = 4*d - 1. Let t be 14\/(1 + 1 + (6 - 6)). Calculate n(t).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3502\/6 + (-68)\/102 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 2  (b) 2\/151  (c) -3  (d) -2\/9  (e) 3  (f) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (7 - (-1363 - -3))*2?\nAnswer: 2, 1367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 420 - 417. Let w(i) = 2*i - 2. Let h(n) = -6*n + 5. What is s*h(r) + 8*w(r)?\nAnswer: -2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((t*t**(-5))\/t)\/t)\/t*t\/(t**(-4\/5)*t))\/(((t**(-2)\/t)\/t*t)\/(t*(t\/((t\/(t*t\/(t**(2\/21)\/t)))\/t))\/t*t)) assuming t is positive.\nAnswer: t**(179\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) be the first derivative of h**3\/3 - h**2\/2 - 2*h - 1. Let x be n(2). Suppose s + 2*f - 22 = 0, -f = -5*s - x*f + 66. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1643 + 4831. Does 8 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -68\/783 and -19\/56811?\nAnswer: 511299","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Does 77 divide 139970541?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 16753650 to the nearest integer?\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3 + 0 + 4)*(-x + x + 2*x**2) - x**2 + 32 + 3*x**2 - 13 + x**2 + 2 - 2 + (-2*x + 0*x + x)*(x + 0*x + x) to the form o + h*x**2 + l*x and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert a9b4 (base 13) to base 14.\nAnswer: 8886","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: (-2 + 0)\/(-4 - -5)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*c**4 + 1484*c**3 - 104820*c**2 - 214108*c - 107800 = 0.\nAnswer: -1, 98, 275","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 23 + 44. What are the prime factors of l?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -2694 * -3.\nAnswer: 8082","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 1 + 1. Suppose -3*w - 10 = b*w. Is (5 - -4) + (-3 - w) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = -x**2. Let z(q) = -23*q**2. Let o(i) be the first derivative of -4*i**3\/3 + 3. Let n(p) = 22*o(p) - 4*z(p). What is r(n(c))?\nAnswer: -16*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -204116, -204110, -204104, -204098, -204092?\n\"Answer: 6*z - 204122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 672 + -672. Suppose x = 336*h - 346*h + 260. Let g(m) = -13*m - 3. Calculate the remainder when g(-6) is divided by h.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -116865 divided by 3.\nAnswer: -38955","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2168 + (2 - 3)*5 - 5 is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 149*l**2 - 2 + 7 - 5.\nAnswer: 149*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1128*y**2 - 3387*y**2 + 1129*y**2 + 1130*y**2 + 2*y**3.\nAnswer: 2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 3071 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*k + 12*k + k)*(-13 + 13 - 59*k)*(-k**3 - 2*k**3 + 0*k**3).\nAnswer: 1947*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 3, o: 4, b: 5}. What is prob of picking 1 p and 1 o?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Total of -8.004 and 205290.\nAnswer: 205281.996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express 10*i + 2*i - 7*i - 7*i - 25*i**3 in the form l*i + c*i**3 + z*i**2 + s and give c.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -37773 (base 10) to base 7\nAnswer: -215061","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*(-1 + (-2*sqrt(512) + 5 + -3)**2).\nAnswer: -12306 + 768*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -22695*u + 45452*u - 22699*u.\nAnswer: 58*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = 44*c**2 + 38*c**2 - 83*c**2 + 0*c + c. Let x(k) = 5*k**2 - 8. Let v(h) = 2*h**2 - 3. Let s(r) = 8*v(r) - 3*x(r). Determine s(q(p)).\nAnswer: p**4 - 2*p**3 + p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 3107541\/316 + -9834. Suppose -i = -5*r + 21, 0 = -4*i - i - 2*r + 3. Are i and h non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4 + 0 + (43 - 58)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((2*sqrt(85) - sqrt(85))*3)\/(sqrt(5) + -1*sqrt(80)))**2 + (sqrt(612))**2 + -5 + ((sqrt(17) - sqrt(153)) + 0)**2.\nAnswer: 692","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16 + 2 = 2*n - 5*t, 0 = -4*n - t + 16. Find the second derivative of n + 15381*l**4 - l - 15417*l**4 - 18*l wrt l.\nAnswer: -432*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:57 AM and 2:48 PM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 2\/3  (b) -4\/9  (c) -1  (d) 2136  (e) 1\/7  (f) 400\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(300)*2 - ((sqrt(3) + 0 + sqrt(3) - sqrt(3) - sqrt(3))*1 - sqrt(3) - sqrt(3)))**2.\nAnswer: 1452","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 122 a factor of 685418814?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) be the first derivative of -245*l**4\/4 + 99*l**3 + 53. What is the third derivative of j(c) wrt c?\nAnswer: -1470","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = -i**3 - 11*i**2 - 19*i + 4. Let k be u(-9). Let v(o) be the first derivative of 10*o + k*o + 13*o + o**2 - 34*o - 18. Give v(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -6*n*w**3 - 2*n - 14*w**3 + w**2 - 328*w wrt w.\nAnswer: -36*n*w - 84*w + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 2309249 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -8781, -8756, -8663, -8502, -8273?\nAnswer: -7976","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 10\/3 of a year?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = -8*h - 11. Let j be y(-11). Suppose -5*t = -j - 73. Find the second derivative of 10*a - 10*a**3 - t*a - 3*a**3 wrt a.\nAnswer: -78*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 55826*f**2*k*w + 15*f**2*k + 1296*f**2*w + 3*f**2 + f*k + 6*f - 2*k*w + 605*k - 1 wrt w.\nAnswer: 55826*f**2*k + 1296*f**2 - 2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 249582, 499136, 748690?\n\"Answer: 249554*v + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = a + 3. Let s(t) = -t**2 + 2*t - 10. Let o be s(7). Let f = o - -50. Determine j(f).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 1\/(1*(-3)\/(-27)). Calculate the greatest common factor of x and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1366004681 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 20 + -20.13. Let k = r + 0.13. Let z = -0.056 - -2.056. What is the third biggest value in k, z, 6?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 39 - (-1)\/(-4)*28. Differentiate 32*y + 19*y**2 - w*y - 95 with respect to y.\nAnswer: 38*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 2384508 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert 102 (base 3) to base 14.\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from bzzhrzhfbz. Give prob of sequence bz.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 1105 and 68358615?\nAnswer: 68358615","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 2 + -64?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -726.01 - -699.0636. Let u = h + 0.0464. Round u to the nearest integer.\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -37\/1040 and 43\/188.\nAnswer: 48880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 71 (base 12) in base 15?\nAnswer: 5a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 5 * 6629\nAnswer: 33145","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3475?\nAnswer: 5, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-3)\/(-60) + 225\/(-180))\/(6\/1060). What is the nearest to o in 2, -1\/4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.047 + 31.047. Let h = j - 29. Put h, 4, -5, 3 in ascending order.\nAnswer: -5, h, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-3)\/(-2 + -1)*-269. Let v = a + 479. Suppose -4*c + 22 = -v. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 54 divide 21222?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -23 + 33. Let t be 32\/40 + (-6)\/g. Which is the closest to t?  (a) 4  (b) 1\/4  (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (0 - -5) + (3 - -3) + 17?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -11?  (a) -3  (b) 2  (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Product of 27 and -68.\nAnswer: -1836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 - (-1 + 2) - -6?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 937 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -14 + 31 + 0 + -23.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 27.021 + -27. Let j = 42.579 - 42.6. Let x = j + m. Which is the second biggest value?  (a) x  (b) 0.3  (c) 3  (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 9*h + 15 + 6*h**4 - 2*h**3 - 1174*h**2 + 0*h**3 + 1174*h**2 - 7*h**4 to b*h**3 + u*h + o*h**2 + f + t*h**4 and give u.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -55*z + 19 + 1 + 50 + 72 + 57*z.\nAnswer: 2*z + 142","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 3314 + -3314. Let x be (-1)\/(-3)*(-12)\/34. What is the nearest to d in x, -0.3, -3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 146 - 125. Suppose 22 - 4*q**3 - 7*q**3 + 10*q**3 - c*q - q**3 - 45*q**2 = 0. Calculate q.\nAnswer: -22, -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 37949000 to the nearest one million.\nAnswer: 38000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -0.3 and 11039.4?\nAnswer: 11039.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 907, 902, 885, 850, 791, 702, 577?\nAnswer: 410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 31878 and 500220.\nAnswer: 126555660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 32\/474963 and -83\/11676.\nAnswer: 13298964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 98, 92, 88, 86, 86, 88?\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 2436*i + 199.\nAnswer: 2436","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand 1 + 2*y - 1 - 2 - 4*y + 2 + (-3 + 1 + 1)*(-2*y - 1 + 1) - y + 2*y + y + 3*y - 2*y - 2*y + 216*y - 131*y + 62*y.\nAnswer: 148*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 110041 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4606 = -12770*l + 12983*l - 20528 for l.\nAnswer: 118","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -54, -135, -244, -375, -522, -679, -840, -999?\nAnswer: -1150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = 3*n - 2*t, 4*t - 28 = -8. Suppose 0 = -n*u + 2*h - 10, 19 = 5*h - 6. What is the third biggest value in -0.5, 17\/4, u?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = -j - 11. Let a be q(-15). Suppose 4 = 2*k + 4*y - 10, 5*k - 2*y = -13. Let f = k + 16. Solve 0 = -a*m + m + f for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -90 = -427*l + 437*l for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.18421 + 0.185. Round l to 4 decimal places.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve d - 81241*j + 81242*j + 3 = 5, 0 = 2*d + 4*j - 14 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand -63611 + 63611 - 21*c**2 + 2*c + 2*c**2 - 2*c - 3*c + c**2 + 3*c + (c - c + 2*c)*(2 + c - 2).\nAnswer: -16*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = -g**2. Let a(s) = 129*s**2. Calculate a(d(r)).\nAnswer: 129*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in -4, -3, -0.5, -0.1085, -0.29?\nAnswer: -0.1085","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = -i**3 + i**2 + 2*i - 1. Let k(y) be the second derivative of y**5\/20 + y**4\/12 + y**3\/6 - y**2\/2 - 6*y. What is b(f) - k(f)?\nAnswer: -2*f**3 + f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d = -5*a + 265, -3*a = -4*d + 2*a + 545. Suppose 27 = -2*q + d. Does 9 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*i**3 - 320 + 2*i**2 + i**3 + 320.\nAnswer: 5*i**3 + 2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = -6*m**3 - m + 1. Let f be b(1). Let i = f + 9. Let q(k) = i*k**2 - 3*k**2 + 6*k**2 - 4*k**2. Let c(d) = 6*d**2. Calculate q(c(h)).\nAnswer: 72*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 15.6 + -15.6. Which is the closest to 1?  (a) -4\/7  (b) -0.4  (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve s**5\/5 + 95111*s**4\/5 - 2663606*s**3\/5 + 27208494*s**2\/5 - 23974623*s + 38531295 = 0 for s.\nAnswer: -95139, 5, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -62884*w**2 + 32*w + 2697.\nAnswer: -125768","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -x + 5*x + 4. What are the prime factors of 27\/(-9) + (63 - x)?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 1 - -2 - (0 + -2). Let y(h) = -4*h**2 + 6*h - 6. Let c(x) = x**2. Let p(n) = -3*c(n) - y(n). What is p(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) be the third derivative of 79\/96*w**4 + 11\/12*w**3 - 8*w**2 + 4 + 7\/240*w**5 + 0*w. Factor n(x).\nAnswer: (x + 11)*(7*x + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {q: 1, w: 2, c: 1, s: 1, v: 1, u: 1}. Give prob of sequence wcv.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*r**4 + 106530732*r**3 - 1891466249940024*r**2 + 11194407827965650316660*r - 33583206460703577819366.\nAnswer: -2*(r - 17755121)**3*(r - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 7\/5 - (-58)\/(-145). Let s(v) = v. Let o(q) = -3*q - 2. What is u*o(k) + 2*s(k)?\nAnswer: -k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r**(-22)\/r**(-7))\/((r*r**(18\/5))\/r**4))**(-9) assuming r is positive.\nAnswer: r**(702\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify c*c**12*c\/c**(-1\/9)*(c*c**(-6))\/(c*(c*c*c**14*c*c)\/c) assuming c is positive.\nAnswer: c**(-80\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) be the second derivative of -u**4\/6 - 5*u**3\/6 + 5*u**2 - 2*u + 59. Let l(t) = -3*t**2 - 3*t + 10. Let z(d) = 3*l(d) - 4*x(d). Determine z(9).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -108*s**5 + 34356*s**4 - 2834840*s**3 + 16259104*s**2 - 15430272*s + 3893760 = 0.\nAnswer: 4\/9, 2\/3, 5, 156","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 126064 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 25 + -16. Suppose v = -3*h + 3. Let x = 5 + h. Solve -n - 16 = x*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -2.979 + 2.9. Is 0.1 equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 24278 + -6163. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (3 - (1 - -4))\/((-720)\/(-387)) and -111\/40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 483030.4m in millimeters?\nAnswer: 483030400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Are 2\/31 and -28 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o + 4*o + 2*j = -9, -3*o + 2*j = 51. Suppose 0*r = 2*r - 62. Let w = r + o. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = 178*l**2. Let p(x) = -2434*x. What is r(p(w))?\nAnswer: 1054535368*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Determine n, given that 15*n - 3\/2*n**2 + 117\/2 = 0.\nAnswer: -3, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-1 - 2)*6\/(-9). Suppose -a*d + 2 = -d. Let j = 8 - d. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: (182\/21)\/(-13)*3\/2\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 184*u + 97*u - 6226 = 8536 - 2960 for u.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 7265054 and 1036468?\nAnswer: 9778","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (6\/(-4))\/((-45)\/(-12)). Suppose -2052*a + 495 = -1997*a. What is the second smallest value in i, a, -0.5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2227139889?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 9131128*h**4*t**2 - 108259*h**2*t**2 - 2*h**2*t - 10*h*t**2 wrt h.\nAnswer: 219147072*h*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00000029999 to seven decimal places.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 50669912?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 292 - 255068\/1089 - (-4)\/(-14)*28\/(-36).\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6236 is divided by 56?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1596884 is divided by 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 3219, 14678, 37049, 73008, 125231, 196394, 289173, 406244?\nAnswer: 550283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 2357 - 4707. What is o rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8603 = 6*y - 12553. Let w = y + -49331\/14. Find the common denominator of w and -69\/68.\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 a factor of 10118?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 737 and 402.\nAnswer: 4422","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -115*i - 1501 = 4275 + 3319 + 450 for i.\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = w**3 - 6*w**2 + 4*w + 3. Let o be u(5). Let l = 92\/3 + -30. What is the nearest to 2\/9 in -5, o, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 5741.5 + -5742. Sort c, 0.074, -25, 4\/7, -1 in descending order.\nAnswer: 4\/7, 0.074, c, -1, -25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.2 - 0.3. Let d = 0.5 + -0.8. Let u = k + d. What is the smallest value in 3\/2, u, 0?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 2\/111199 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Divide 18 by 2998.\nAnswer: 9\/1499","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00000089 rounded to 7 decimal places?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 3*j*m**4 - 2*j*m + 23*j*o + 1036*m**5 + 3*m**3*o + 2*m**2 - o + 18 wrt m?\nAnswer: 72*j*m + 62160*m**2 + 18*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 93701 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -1011, -4027, -9053, -16089, -25135, -36191?\n\"Answer: -1005*z**2 - z - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/9, 4\/7, -2\/7, 1830, -5, 1.\nAnswer: -5, -2\/7, -2\/9, 4\/7, 1, 1830","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 2, 59, 3, -1, 563 in ascending order.\nAnswer: -4, -1, 2, 3, 59, 563","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -1286376241, -1286376239, -1286376237, -1286376235, -1286376233, -1286376231?\n\"Answer: 2*a - 1286376243","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 145 + -149. What is the nearest to 0.2 in k, 2\/11, 1\/5, -2\/3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (3 - -1) + (-32 - (-2 + -3 + -6))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when -1 + (-2008)\/(-14) - (-12)\/(-28) is divided by 75?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*x = 2*x - 58. Suppose x + 145 = 3*d. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 29\/3  (b) -0.2  (c) -2  (d) -2\/3  (e) 1\/229  (f) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = -2*m + 9. Let t be y(7). What is the units digit of ((-10)\/(-6))\/t*-27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*u - u - 13*y = 6*y - 23*y + 4, -2*y = -4*y - 4 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = -y**3 - 56*y**2 - 115*y + 369. Let d be l(-54). Solve -6*v - d = -759 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-18)\/12*4 - -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 402 minutes before 11:05 AM?\nAnswer: 4:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-29*p + 11*p - 22*p)*(5*p - 2*p - 2*p).\nAnswer: -40*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in 49, 0.5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 13, 48, 107, 190?\nAnswer: 297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**12\/s)\/s**(-11)*((s**0*s)\/s)\/(s*s*s\/(s*s**(-1))*s*s) assuming s is positive.\nAnswer: s**17","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 10593, 19075, 42085, 86883, 160729?\n\"Answer: 1210*p**3 + 4*p**2 + 9379","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:55 PM and 2:42 AM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2 + sqrt(80) - (0 + sqrt(20))) + (sqrt(5) - (sqrt(5) + sqrt(5)*5 + -4)) + sqrt(320) + 4)**2.\nAnswer: 60*sqrt(5) + 161","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u = -4*u + 29. Let s(q) = q**2 - u*q + 6*q**2 + 29*q. Let p(f) = 11*f - 8. Let k(o) = -7*o + 5. Let j(i) = -8*k(i) - 5*p(i). Give s(j(m)).\nAnswer: 7*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-z**2 - 2*z**2 + z**2)*(17 + 0 - 7)*(18*z - 60*z - 23*z).\nAnswer: 1300*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 16 - 0*(-8)\/16\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -81590 and 89.44.\nAnswer: -7297409.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Product of -10 and -7.\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -1 - 87?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-7*x**2 - 4*x**2 + x + 1 + 8*x**2)*(-x**3 - x**2 + x**2).\nAnswer: 3*x**5 - x**4 - x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i be -5 + 12 - (-4 + 19). Suppose 3*d = -v - 4 + 1, 4*d + 12 = -2*v. Which is smaller: i or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 5330 and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is (40\/15 + -3)*(-9)\/(-6)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -81 + 80.9999835. What is v rounded to five dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j**4 + 362984*j**3 + 8234836516*j**2 = 0. Calculate j.\nAnswer: -45373, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1226 or -105\/731?\nAnswer: 1226","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve n + 7 = -5*a, -5*n - 165*a + 9 = -162*a for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1343820809?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = -6*b - 23. Let i be u(10). Let k = 77 + i. Let t(c) = -c**3 - 4*c**2 + 8*c - 1. What is t(k)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 greater than 9\/30428?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 4582 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = -v + 16. Let t be r(14). Suppose -4*m + 6 = -t*s, -s + 3 = -4*m + 8*m. Which is greater: m or -2\/107?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, 3, -11, 4 in descending order.\nAnswer: 4, 3, 0, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20*d = 1294 + 2346. Is 14 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 29 divided by -1\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 8 and -3*(-3)\/9*7?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 7.965 + -26.\nAnswer: -18.035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = -g**3 - 8*g**2 + 7*g - 8. Let n be j(-6). Let f = -28059 - -139687\/5. Let s = f - n. Which is the closest to -1\/5?  (a) s  (b) 3  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2536332973 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -4434 (base 6) to base 12\nAnswer: -71a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = i**3 + 24*i**2 + 138*i + 449. Give g(-14).\nAnswer: 477","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (-825)\/24*24\/(-180) and 43\/(4 + -1 + -1).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is d8 (base 14) in base 7?\nAnswer: 361","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-16)\/(-4))\/(25 - (14 + -7)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.5 times 6931?\nAnswer: -3465.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000099173 rounded to 7 dps?\nAnswer: -0.0000099","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) be the first derivative of -21\/10*t**4 + 0*t - 12\/25*t**5 + 0*t**2 - 8\/5*t**3 + 1\/5*t**6 - 25. Factor a(z).\nAnswer: 6*z**2*(z - 4)*(z + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 431073, 431060, 431051, 431046, 431045?\n\"Answer: 2*l**2 - 19*l + 431090","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*i - 2*r - 20 = 0, 8*i - 5*i - 2*r - 16 = 0. Let f(v) = -4*v + i*v**2 + 4*v. Let d(j) = -2*j. Give d(f(p)).\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 116 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 28277 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -63088152 divided by -244.\nAnswer: 258558","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert -105 (base 9) to base 11.\nAnswer: -79","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((c**(-30)*c)\/c**(-7))**(-5\/16))**2 assuming c is positive.\nAnswer: c**(55\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 50\/(-4)*(((-30)\/5)\/(-72))\/((-390)\/312)?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**12*i)\/i*i**(-1\/5)*(i\/i**(-3))**15 assuming i is positive.\nAnswer: i**(359\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = -7*y**2 + 12*y + 3. Let f(q) = -20*q**2 + 32*q + 8. Let z(h) = 3*f(h) - 8*s(h). Let o(n) = 3*n**2 + 15. Give o(z(c)).\nAnswer: 48*c**4 + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -5221435 (base 10) to base 16\nAnswer: -4fac3b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = -k**3 - 14*k**2 + 47*k - 27. Let v be j(-17). Calculate the highest common divisor of 123 and v.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1212787 times -0.5\nAnswer: -606393.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 136 and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 675 minutes before 12:36 PM?\nAnswer: 1:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 29*h - 12296 = 22881. Does 26 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(153) - -5*sqrt(153)*2) + sqrt(153) + (sqrt(153) - (-1*sqrt(153) + 5)) - -6*(sqrt(153) + -1)*-3)**2.\nAnswer: -312*sqrt(17) + 2617","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -20.98 - -20.9212. What is s rounded to 1 dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:23 AM and 11:16 AM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 3.74 and -11280?\nAnswer: -42187.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -8806b (base 12) to base 10\nAnswer: -179795","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:23 PM and 12:07 AM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 110151 is divided by 27048?\nAnswer: 1959","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = -h**2 + 9*h - 2. Suppose 5*x + 2*f = 6*x + 3, -5*x + 41 = 4*f. Suppose 0 = 4*g - 25 + 9. Let q be g - (15\/x - 7). What is n(q)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 235485, 941937, 2119353, 3767733, 5887077?\nAnswer: 8477385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 3428117 (base 10) in base 8?\nAnswer: 15047425","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 75060 and 27580?\nAnswer: 103507740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 235*a**2*s*z**3 - 7*a**2*s - 2*a**2*z - a*z**3 + 563*z wrt s?\nAnswer: 235*a**2*z**3 - 7*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round -12.7126699 to 3 decimal places.\nAnswer: -12.713","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -120 - -122. Let d = 10 - 7. Sort d, 1, r in increasing order.\nAnswer: 1, r, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -15  (b) -2\/17  (c) -3\/7  (d) 8  (e) 1\/10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 10000010100001111100010 (base 2) in base 16?\nAnswer: 4143e2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000016281 to 7 dps.\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.04 in 3, -1, 4, -37, -61?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 5*1 + 47 + -26. What is the greatest common factor of 6 and w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3466*f - 6091*f - 89250 for f.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = -653961*w + 117. Let k be a(-3). What is k rounded to the nearest ten thousand?\nAnswer: 1960000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -132 = 2*r - 7*r - 4*w, 4*w + 8 = 0. Let b = r + 1. Suppose 0 = b*h - 30*h - 37. Is -37 > h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 31752 a multiple of 162?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.09 less than 0.115475?\nAnswer: 0.205475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -128, -4, 1, 3, -419 in decreasing order.\nAnswer: 5, 3, 1, -4, -128, -419","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 6546909 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w - 6 = -2*g + 31, 4*w - 29 = -g. Suppose 2*a - g = 21. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -63, -71, -79?\n\"Answer: -8*m - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -9 + 6. Suppose 3*r - 2*r = -3. Is o > r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 11\/1765 + 40983\/1353755. Let q = l - 33597\/16874. What is the common denominator of q and -19\/20?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together -16 and 74.\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 30 - (16 - 42) - (-1 + 2).\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = -8*t - 7. Let x be g(-4). What is the derivative of 28 - 38 - x + 13*p**4 wrt p?\nAnswer: 52*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-1)\/(-2))\/((-26)\/(-260)). Suppose -s*a - 1615 = -10*a. What is the hundreds digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 9\/27 + 11\/(-6). Sort 0.2, 1, 2\/3, j in decreasing order.\nAnswer: 1, 2\/3, 0.2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -68907, -275586, -620045, -1102278, -1722279?\n\"Answer: a**3 - 68896*a**2 + 2*a - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 6*g**2 + g**6 - 21*g**4 - 4*g**2 + 144*g**4 - 5*g - 5*g + g wrt g.\nAnswer: 120*g**3 + 2952*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 76 = -v + i + 11*i, 0 = -2*v + 3*i - 77 + 51 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -38*-4*(-4)\/(-8). Suppose 4*j = 2*d - q, -2*d + 5*d + 4*j - 94 = 0. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: (3 - -19) + (-643550)\/29280 - (-21)\/(-144)\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) be the third derivative of -m**4\/12 - m**3\/2 + 3*m**2. What is the units digit of h(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 43 + -47. Let q = 10 - 10. What is the closest to 0.1 in m, q, -3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 682.658t to micrograms.\nAnswer: 682658000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -3.8 + 6.9. Let m = q + -3. Let r = -11.7 - -13.7. Which is the nearest to m?  (a) 2\/9  (b) r  (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -117 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 523*j**2 - 201*j?\nAnswer: 1046","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) be the third derivative of 0*x + 0 + 1\/6*x**4 - 3*x**2 + 1\/3*x**3. What is the units digit of r(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 7, -4, -30, 2091 in decreasing order.\nAnswer: 2091, 7, -4, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 79560689?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = 31*h**2 + 8*h + 14. Let q(v) = -10*v**2 - 3*v - 5. Determine 3*f(i) + 8*q(i).\nAnswer: 13*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 0.449479347477 + 18.1\nAnswer: 18.549479347477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1108 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1.068312 + -1.0895. Round i to 3 dps.\nAnswer: -0.021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y\/(y*(y*(y**(2\/3)\/y)\/y)\/y*y*y))**8\/(y*y**(2\/5))**(-50) assuming y is positive.\nAnswer: y**(194\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 6 + -7. Sort -3, -5, a, -2.\nAnswer: -5, -3, -2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 23698374?\nAnswer: 2, 3, 7, 17, 33191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0 - -11. Suppose 7*d = 10 + s. Suppose k - 2 - 389 = -3*y, d*k = 3*y + 1173. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) be the second derivative of q**5\/20 - q**4\/2 + 5*q**3\/6 + 2*q**2 - q. Let i = -40 - -68. Suppose 2*n = d + 3, 2*n = -5*d + d + i. Calculate k(n).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) be the third derivative of d**5\/60 + d**4\/8 - d**3 + d**2. Suppose -473*y + 113*y - 1800 = 0. Give v(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q = 3*v + 361 - 25, 5*q + 560 = -5*v. Let g = -27 - v. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**(-2\/5)\/n)**(-24)*(n*n\/n**(-1))**(-7) assuming n is positive.\nAnswer: n**(63\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = 49*s - 289. Give u(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 8b1 - -54?\nAnswer: 945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = 19*b - 1. Let i(h) = 2*h**2. Determine i(q(d)).\nAnswer: 722*d**2 - 76*d + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -45 - -51.2. Round h to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -115085 - -227485. What is l rounded to the nearest 10000?\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (6*5\/15)\/((-3)\/6).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = -l - 3. Let n be p(-5). Let d be (-8)\/(4\/n)*-6. Suppose 2*k - d = -0*k. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 16, 10, -32, -116, -248, -434?\n\"Answer: -z**3 - 12*z**2 + 37*z - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 7, g: 1, t: 3, v: 5}. Give prob of picking 1 r and 1 v.\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 12 + -60108?\nAnswer: -60086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(2057) - 3*sqrt(2057)*2) + sqrt(2057) + -1*(sqrt(2057) + sqrt(2057)*-1))**2.\nAnswer: 32912","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = 3*g - 5. Let c be q(6). Let o = -10 + c. Solve -17 = o*k - r, r + 6 = k + 3*r for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.044 + 0.001. Let j = t + -3.857. Let l = j + -0.1. Put l, -0.4, 3 in increasing order.\nAnswer: l, -0.4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 982964.781 - -0.2?\nAnswer: 982964.981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.5, -11, -39.6 in descending order.\nAnswer: 0.5, -11, -39.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2624 is divided by 565?\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 109742 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 divided by -57545.\nAnswer: 3\/57545","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0.3, -0.22, -4, -126?\nAnswer: -0.22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*m - 5 = 4*j, 6*m = 2*j + m + 25 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 260 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3040 = -4151*d + 4341*d. Let i be (-30)\/4*(-12)\/15. Solve -i*n + d = 4 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h*h\/h**(8\/9))**(-6\/31))**(6\/11) assuming h is positive.\nAnswer: h**(-40\/341)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Does 66 divide 900500?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1872 and 2223?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) be the second derivative of -y**4\/6 - 11*y**3\/6 + 7*y**2\/2 + 2*y - 109. Calculate t(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 34602725821 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 1 - (1 + (-1 - -1)). Suppose f = -x + 3*n - 18, -x + 2*n - 5 - 9 = 0. Let u = 3 + x. Which is the third biggest value?  (a) u  (b) -1\/4  (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 19410889*p - 19410939*p + 5205 = 455 for p.\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sum -4042.7225 and 6752320.\nAnswer: 6748277.2775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -1049 + -846. Let g = 1904 + l. Let y = -1 + 1. Put 0.06, g, y in decreasing order.\nAnswer: g, 0.06, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = -g**3 - 2*g**2 - 3*g - 2. Suppose -5*z = y - 16, 5*z + 6*y - 4*y = 17. Calculate the least common multiple of r(-2) and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.07*27.9.\nAnswer: 1.953","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c + 3*c - 18 = 0. Suppose 484 = 72*a - 380. What is the greatest common factor of a and c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -43719, -5, 19 in descending order.\nAnswer: 19, 0, -5, -43719","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24 = 3*t - 3*m - 132, -160 = -4*t - 4*m. Solve -10*u - 2 - t = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do -154271 and -154263 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 4177664 and 24.\nAnswer: 12532992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 i and 1 a when two letters picked without replacement from {g: 3, i: 12, a: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from xyvtpopvptpxtvv. Give prob of picking 1 t, 1 o, 1 p, and 1 v.\nAnswer: 16\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q = -8*q + 20. Suppose -m + f + 2 = -6, m - 2*f - 9 = 0. Calculate the remainder when m is divided by q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor b**3\/2 - 14205*b**2\/2 + 25226304*b - 25219202.\nAnswer: (b - 7102)**2*(b - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is -663496 != -663496?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is (-85 - -115) + 13 + -43?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let 3*m**4 + 2025393*m**3 - 12152430*m**2 + 24304908*m - 16203288 = 0. What is m?\nAnswer: -675137, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Determine y so that 2*y**4 - 18*y**3 - 84*y**2 + 488*y - 528 = 0.\nAnswer: -6, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round 65165.6454 to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -42 (base 15) in base 10?\nAnswer: -62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -17*v + 76 = 110 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d + 79 = w, -172 - 25 = -3*w + 4*d. Let h = w - 53. Find the third derivative of 8*q**6 + 0*q**2 + h*q**2 - 7*q**6 wrt q.\nAnswer: 120*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:06 AM and 8:15 PM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 72 a factor of 53417?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 c and 1 x when two letters picked without replacement from lttcwlxc.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/9?  (a) -5  (b) -3  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -9.2885 - -9.2793206. Round a to 4 decimal places.\nAnswer: -0.0092","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -5070*i**3 - 14*i - 39?\nAnswer: -30420*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: (435\/18)\/((-18)\/24) + 28\/126\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -3154758*b**4 - 8751961*b**2?\nAnswer: -75714192*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 24*q**4 - 20*q**4 - 17 + 17 + 8*q**2 wrt q?\nAnswer: 96*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 99 and 64065.\nAnswer: 2114145","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 854868983?\nAnswer: 41, 20850463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Add -1355 and 214695.27452.\nAnswer: 213340.27452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1)\/(30\/150*-30 + 388\/64).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = -2*g**3 + 7*g**2 + 117*g - 441. Give p(4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 70849152 and 984016.\nAnswer: 70849152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -98*o - 448 = -42*o for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 159149432*a - 132524676.\nAnswer: 159149432","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -109\/1176 and 31\/2784.\nAnswer: 136416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 107 minutes before 11:57 PM?\nAnswer: 10:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -25*w**3 - 160*w**2 - 315*w - 180 = 0.\nAnswer: -3, -12\/5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 212065 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from mmggmgmmggggg. Give prob of picking 1 m and 3 g.\nAnswer: 56\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 5 and 1.67.\nAnswer: 8.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g**1)**17\/(g**(5\/7)\/(g**9*g*g)))**39 assuming g is positive.\nAnswer: g**(7449\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = -2*b + 4. Let x be r(-3). Let w be 1\/(2\/(x*1)). Suppose -5*z = 2*i - 36, 0 = -3*i + 15 - 6. Solve q = z*q - w for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify k\/(k*(k*k**(-9)\/k)\/k)*k**(-1\/12)*(k**(-2\/7))**(-2\/109) assuming k is positive.\nAnswer: k**(90845\/9156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = -b**2 + 12*b + 6. Let v be y(12). Let o be (-16 + 1)\/(12\/(-8)). Solve -j + v*j = -o for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11162293297 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-4)\/(3\/(-9)*2). Let k be 14 - (1 - c - -3). Calculate the highest common factor of 8 and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00060297995 to four decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = w + y - 46, -w + y = -y - 46. Round w to the nearest ten.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -11\/105244 + 5755741\/190807372. What is the common denominator of q and -38\/1813?\nAnswer: 3626","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = -w**3 + 169*w**2 - 488*w + 172682. Determine o(172).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 16 a factor of 752?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21*y = -9*y - 1020. Calculate the remainder when y is divided by 25.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 3428, 3829, 4398, 5123, 5992, 6993?\nAnswer: 8114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/5, -38, -0.02.\nAnswer: -38, -0.02, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = -y**3 + 3*y**2 + 2*y - 1. Suppose 5*w + 11 = 26. Let j be k(w). Suppose j = -5*g, 0*o - 4*o = 4*g - 108. Is o a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -40 (base 10) to base 2.\nAnswer: -101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/5 in 0.2, 20, -5, 0.08?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 660 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 764640 and 912?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = -2*t**2 - 20*t - 50. Let q be m(-5). Solve q = p + 4*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*c**2 + 5*c**3 + 3*c**2 + 0 + 1 - 6*c**2 in the form b*c**2 + x*c + y + a*c**3 and give a.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 5004768 and 192.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 74056 is divided by 24608.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 110221 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 2\/(14*13\/273). Let t(b) be the second derivative of b**4\/12 + b**3\/3 + 2*b**2 + 2*b. Let w be t(-3). Solve -f*n + 4 = w for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3*v + 3*v - 7*v**2 - 40*v**2 to b*v + y*v**2 + o and give y.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) be the first derivative of z**3\/3 + 3*z**2 + z - 2. Let i be x(-5). Calculate the least common multiple of (-1)\/2 + (-46)\/i and 3.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 1040 divide 92551633?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) be the first derivative of 14\/3*x**3 + 5\/2*x**4 - 11 + 0*x**2 + 0*x. Find the third derivative of i(m) wrt m.\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 9036016 and 3608.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 divided by -51?\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express (-4*u + 3*u + 3*u)*(-2 + 0 + 0)*(-11*u + 16*u + 5*u) in the form p*u + s + b*u**2 and give b.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 3, j: 4}. What is prob of sequence hj?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -2.6, 0.11, -1, -1\/3, 2247?\nAnswer: 2247","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 254 and 12?\nAnswer: 1524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-42)\/(-126))\/(10\/24)*5?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 29\/2 of a litre in millilitres?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = -3*k. Let i(m) = 35*m. Let x(n) = 25*f(n) + 2*i(n). Let d be x(1). Let u(y) = y + 7. Calculate u(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -12 - -13. Let o be 70\/g - 0\/(-2). Let y be ((-84)\/(-3 + -3))\/(2\/25). Calculate the greatest common factor of o and y.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -277*u - 3249 + 202 for u.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 720*u**2 - 346*u**2 - 361*u**2.\nAnswer: 13*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(1 + sqrt(2057)*-2 + sqrt(2057)).\nAnswer: -3 + 33*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-45)\/(-42) - 24\/42. Factor -3\/2*n**2 + 1\/2*n**3 + 3\/2*n - f.\nAnswer: (n - 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3255698447 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1*(-2)\/(-6)*1215\/(-1620).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -15414*x**5 + x**2 + 265*x + 9 wrt x.\nAnswer: -924840*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**(-5)\/(s\/(s*s*s*s\/(s*s\/(s**4*s))*s)))**(-24)*(s\/(s**(-1\/4)*s))**(-29)*(s**0*s*s)**26 assuming s is positive.\nAnswer: s**(-13\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 2, 2\/3, -9, -2\/45, -0.141, 1?\nAnswer: -0.141","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*j = 4*m - 60, 18*m - 4*j + 61 = 23*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.66 + -645571.\nAnswer: -645570.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -10 + 14. Suppose -d - h*d = 330. What is the units digit of ((-12)\/8)\/(9\/d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 a factor of 2079?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is -44 at least as big as -2463?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is (-69)\/60 - (-1)\/8*(-14 - -28)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 19941, 19622, 19301, 18978, 18653?\n\"Answer: -c**2 - 316*c + 20258","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 60627622?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express (-114*d - 63 + 115*d - 191)*(-7 + 7 - 9*d) in the form a + m*d**2 + b*d and give b.\nAnswer: 2286","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -11 + 23?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (45\/(-125)*-5)\/(6\/20).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*n - 14*n + 8*n - 66621 = 0. What are the prime factors of n?\nAnswer: 3, 53, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 16024653.\nAnswer: 3, 1780517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 56 = 5*o - 29. Suppose 23 = 4*c + 5*w, -w + o = 4*c - 26. Is c at least as big as 13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4702 is divided by 11.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -70 - -129. Let a = -106 + 207. Let c = -91 + a. What is the remainder when u is divided by c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 58392283*c**3 + 6*c**2 - 1181010442*c wrt c.\nAnswer: 350353698*c + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Work out 11 * -245.\nAnswer: -2695","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sum -1.646 and 2.1.\nAnswer: 0.454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -17729.2142 times -0.4\nAnswer: 7091.68568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*i + 8*l - 88 = i + 13*l, 0 = 23*i + 2*l - 893 for i.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 617 = 11*g + 232. Calculate the remainder when 120 is divided by g.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 0 - 9 - (-3 + 3 - 2). What is the common denominator of 1\/c - (-10494)\/(-3080) and -41\/40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -110?  (a) 0.3  (b) -455  (c) -0.3  (d) 2  (e) 0  (f) -8\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from pppppeeppppppeppppep. What is prob of sequence ee?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = -n**3 - 36*n**2 - 95*n + 132. Let s be j(-33). Is s > 1\/475?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-15)\/60)\/((-26)\/39). Sort -2, k, -1\/3, -56 in decreasing order.\nAnswer: k, -1\/3, -2, -56","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -19*l**2 - 90*l**2 - 73*l**2 + 15*l**2 + 2*l - 146*l**2 as q*l + t*l**2 + o and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand -988*r**4 - 5777*r**4 - 166*r**4 + (-2*r + 2*r + r**2)*(r**2 + 1 - 1).\nAnswer: -6930*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -36 divided by 1941720?\nAnswer: -3\/161810","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 2117719 a multiple of 462?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t - 1 - 1 = 0. Suppose -t*f + 155 = 47. Calculate the remainder when f is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4505?\nAnswer: 5, 17, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Put together -95730 and -42.\nAnswer: -95772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 685 minutes after 12:13 AM?\nAnswer: 11:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (94 + 118 + 143)*(1 + 0 - 4 + w).\nAnswer: 355*w - 1065","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 21 - (15 + 1 - 9)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -561, -563, -565?\n\"Answer: -2*w - 559","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o + 4*n + 0*n - 50 = 0, 5*n = 3*o - 119. Is 33 less than or equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4 - 2 - -4 - 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -0.0295 and 141141?\nAnswer: 141141.0295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is (6 - ((-4 - -8) + -3)) + (32 - 51)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide -119 by -2.\nAnswer: 119\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**(-9))**2 assuming i is positive.\nAnswer: i**(-18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -363 divided by 15.\nAnswer: -121\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -ac0a (base 14) in base 13?\nAnswer: -10746","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 0\/(8\/(-4) + 1) + 2\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -5  (b) -33  (c) 2  (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 820 + -480. Is i a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 620575 to the power of 1\/2, to the nearest integer?\nAnswer: 788","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 5732 - 2684. Let b = -1947 + m. Suppose -10*c + 7*c = -b. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5454722023 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -2\/5, -138.7, -10\/9 in decreasing order.\nAnswer: 3, -2\/5, -10\/9, -138.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -4  (b) -3\/2  (c) 100\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1 - -1. Suppose -2*s = -4*s + 4*y - l, 5*s = y + 22. What are the prime factors of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1838 > -2067?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + 2*4*-3*(sqrt(15)\/sqrt(3)*1 - sqrt(5))**2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = -j**2 + 7*j - 5. Let b be 0\/(2 - (0 - 0)). Suppose r + 24 = 5*w - b*r, 4*w + r = 12. Determine q(w).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*t**4 + 15*t**3 + 435*t**2 - 895*t + 450.\nAnswer: -5*(t - 10)*(t - 1)**2*(t + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g - 4*n = 74, 0 = -5*g + 3*n - 0*n + 78. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -1 - 21?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -719 = 10*n - 739. Let c(p) = p**2 - 6*p - 6. Let s be c(7). Solve -s = k - n*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = 9*x**3 + 20*x**2 - 3*x - 23. Let p(l) = l**3 + l**2 - l - 1. Let w(n) = -3*p(n) + t(n). Let m(c) = -2*c**3 - 6*c**2 + 7. What is -17*m(d) - 6*w(d)?\nAnswer: -2*d**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 2403\/(-445) + 2\/5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = -348*v**2 + 1. Let r be f(-1). What is r rounded to the nearest 100?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -6*o**4 - 4*o**2 + 4*o**2 + o**2 - 2*o + o**2 + 3 in the form z*o**3 + d*o**4 + a*o**2 + w + g*o and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = -2*p**3 + 29*p**2 - 61*p + 18. Let y = 0 + 2. What is the least common multiple of y and s(12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*p + 17 = -31. What is the smallest value in 2, -0.1, -2\/3, p?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = 2*i + 11. Let h(y) = 75*y + 46. What is h(q) - 4*k(q)?\nAnswer: 67*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 1397034997 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 96 and 176?\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert -90957 (base 10) to base 7.\nAnswer: -526116","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 326848 is divided by 65216?\nAnswer: 768","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 1585038 - -108?\nAnswer: 1585147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 775905 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-5 - (-14 + 6)) + 87\/(-39). Sort -2\/5, -5, -2, c in increasing order.\nAnswer: -5, -2, -2\/5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -523\/36 - -59\/4. Factor 8\/9*p**2 + 0 + j*p + 8\/9*p**4 + 4\/3*p**3 + 2\/9*p**5.\nAnswer: 2*p*(p + 1)**4\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -10 + 14. Suppose -2*d - 3*y = -4*d - 98, 0 = -z*d + y - 206. Let f = d - -89. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z + 6 = 4*i, -36*z = -30*z - 5*i - 10. Let l(o) = 3*o**2 + 1. Let s be l(1). Solve -s*a - 3*q = 25, z*a + 2*q + 9 = -17 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 4*g*t**2 + 1896*g*w**2 + 4*g*w + 2*t**2*w - 10*t**2 - t*w - 612 with respect to w.\nAnswer: 3792*g*w + 4*g + 2*t**2 - t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 776081709 a multiple of 117?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3433?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*w - 3 = -2*d, 5*w - 65 = -4*d - 58 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 159848 and 117.\nAnswer: 1438632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 141 minutes after 3:55 AM?\nAnswer: 6:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 divided by 60211?\nAnswer: -2\/60211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**(1\/4)\/y**(-5\/4))\/((y\/(y\/y**(-2)))\/(y\/y**7)) assuming y is positive.\nAnswer: y**(-5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 d when four letters picked without replacement from {j: 3, d: 9}?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2*(-2)\/(-8)*14*8\/56?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 625490?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round 13000000 to the nearest 1000000.\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -2 (base 13) to base 15\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = 13 - 225*f + 214*f + 110. Let k be v(11). Suppose 0 = w - 14 + 2. Solve -w = -6*h + k*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -847 + 909. 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: Find the third derivative of 884*w**4 - 7*w**2 + 4 wrt w.\nAnswer: 21216*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 1, a: 1, s: 2}. What is prob of sequence sa?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from uuuuquuuqquqq. Give prob of sequence uqu.\nAnswer: 70\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of u**4 + 106702593*u**3 - 5024310*u**2 - 3*u - 1?\nAnswer: 24*u + 640215558","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = o**2 + 5*o + 9. Let c be l(-6). Let p be (-1)\/((-3)\/(-12)*-2). Suppose 0 = p*h + 2*h - 8. Solve -h*x = -5*x - c for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (a - a + a**3)*(-3*a + a**2 + 3*a) + 0*a**5 - 3*a**5 + a**5 + 2*a**2 + a**3 - 4*a**5 + a**5 + a**3.\nAnswer: -4*a**5 + 2*a**3 + 2*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -37\/78 and 121\/546.\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 88 a factor of 4625?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*f = -f - 8. Let j be (-2)\/2 + (-52)\/(-54). Is f greater than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -57 and -1410?\nAnswer: 1353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = 4*r + 6. Let u(k) = -7 + 5*k - 8*k - k. Let j(h) = -h**3 - 16*h**2 + 2*h + 38. Let g be j(-16). What is g*u(m) + 7*l(m)?\nAnswer: 4*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Divide 963 by -107.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = -5*f**3 - 3*f**2 + f - 5. Let t(g) = 262 - 2*g**2 - 89 - 87 - 4*g**3 - 90. Calculate 2*r(y) - 3*t(y).\nAnswer: 2*y**3 + 2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pz when two letters picked without replacement from {z: 1, u: 2, e: 8, n: 2, p: 1}.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (6\/5)\/((-6)\/(-15)). Let q be (3 - 2)\/((3\/122)\/t). Let m be q*(4*3751 + -4). Round m to the nearest one hundred thousand.\nAnswer: 1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 210\/(-56)*((-21)\/30)\/7?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) -0.3  (b) 4\/15  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 88*i - 111*i + 20907 = 0. What is the hundreds digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = b**2 - 5*b + 2. Let t be j(5). Suppose 446 = -0*s + t*s. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (10\/(-24))\/((-391)\/(-782)*(-10)\/(-9))?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -1ba6 (base 16) to base 7\nAnswer: -26431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Are -1 and 15\/112 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 232 equal to 210?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13 = -3*s + 22. Suppose v + 3638 = -4*c, -s*v - 4*c + 7103 = 18041. What is v rounded to the nearest one hundred?\nAnswer: -3700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from obobblbbbylobbbb. Give prob of picking 1 y, 1 l, and 1 b.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify c**(-25)\/c**(3\/8) assuming c is positive.\nAnswer: c**(-203\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:33 PM and 4:49 AM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = -11*o + o**3 - 3 + 12*o - 3*o**2 - 6*o**2. Does 6 divide r(9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -38 - 1807*z - 1246*z + 38.\nAnswer: -3053*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21*x - 763 = -49. Solve -x = -114*u + 97*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 1.81 + -5. Which is smaller: 2\/5 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r = -2*t - 24, -81 = -5*r - 4*t - 17. Suppose 89 = 5*m - r. Calculate the greatest common divisor of m and 63.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7817.16 centuries in months?\nAnswer: 9380592","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 1621016089 a multiple of 79?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 1.446 times -71.31\nAnswer: -103.11426","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert -305311250 (base 6) to base 4.\nAnswer: -110031032232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 5 - 3. What is the third derivative of 20*h**4 + 102*h**b - 9 + 9 + h**3 wrt h?\nAnswer: 480*h + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 8, 2, -37608, 5 in descending order.\nAnswer: 8, 5, 2, -37608","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -93 + 89. Let l be 1\/(-10)*k + 64\/(-10). Let z(o) = 2*o + 39. What is the remainder when z(l) is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 122683.\nAnswer: 11, 19, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(66) + -6*(sqrt(66) + -3*sqrt(66)) + sqrt(66))\/(sqrt(18)\/sqrt(3)*-1).\nAnswer: -14*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round -3313529200 to the nearest 1000000.\nAnswer: -3314000000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 197396 or 197387?\nAnswer: 197387","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -19 - 7.39\nAnswer: -26.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert 8461.88mg to kilograms.\nAnswer: 0.00846188","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 12\/16*16\/6. Let w = n - 0. Solve -3*c - 10 = 4*f - w*c, -5*f = -3*c + 21 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 138 is divided by 18?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -160142507 from -0.4.\nAnswer: 160142506.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 203748*m**2 + 235598*m?\nAnswer: 407496","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*h = -5*f + 17, -3869*f + 16 = 4*h - 3865*f for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 483.37 rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16 = -28*i - 432. What is the closest to i in -1\/4, -1, 2\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -10 + 32*v - 14*v - 57 - 16*v - 73 to g*v + m and give m.\nAnswer: -140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -3*(-8)\/96 - 3618\/8. Let c = -454 - u. What is the biggest value in -202, c, -4\/5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 473555 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 1413782 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: Rearrange -2*o**2 + 7*o**2 + 0*o**2 + 2*o**2 to the form h*o**2 + k + l*o and give h.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*q - 21*u = -17*u - 5, 2*q + u = 15 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = u + 9. What is the smallest common multiple of 5 and m(1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = 6 + o - o**2 - 2 - 4*o + 1. What is w(-5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*y + 48 = 17*y. What is the least common multiple of y and 4?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = 2*y. Let j(g) = 18*g. Let d(b) = -10*b + 37. Let i be d(4). Let u(k) = i*j(k) + 24*z(k). Let s(c) = 12*c. Give s(u(t)).\nAnswer: -72*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -58\/9 and -19\/11500401?\nAnswer: 34501203","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 4840 and 112432595?\nAnswer: 605","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 0\/(1 - (3 + -1)). Let f(w) = g*w + 3*w - 4*w. Let u(r) = r. Give u(f(t)).\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u + 2*u = -6. Suppose 11*k - 8*k = 0. Solve k = 4*r - 2 - u for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4249\/35 + 2\/(-5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((6*-1*sqrt(133) - (3*1*sqrt(133) + sqrt(133)))\/(sqrt(567) - -5*sqrt(567)*1 - -6*(sqrt(567) + sqrt(567)*2)))**2.\nAnswer: 475\/11664","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 76\/6 - (-55)\/(-22) and -40\/21.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 225059433 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 579.\nAnswer: 3, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -132995, -531961, -1196897, -2127797, -3324655, -4787465?\n\"Answer: v**3 - 132991*v**2 - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -100\/7719 or -1?\nAnswer: -100\/7719","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = 2*i**2 + 8*i. Let z be t(-4). Is -1 + z + (-75)\/(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/4 of a kilogram in grams?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-3*(sqrt(539) + -4) + 4 + (sqrt(539) + -6*(sqrt(539) - 1*sqrt(539)) - (sqrt(539) - (-1 + sqrt(539) + -4))))*4)**2*-4.\nAnswer: -145728 + 19712*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 38 - 44. Let g be (8\/14)\/(z\/(-21)). Find the second derivative of 77*u**2 - 9*u**3 - 4*u**3 - 77*u**g - 8*u wrt u.\nAnswer: -78*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let y = 8 + -7. Let q be 1 + (-2 - -3)\/y. Suppose -q*c = 5*r - 51, 3*r + 2*r - 64 = -3*c. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -10 + -2 - (37 - 45)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t - 5*r + 4 = 17, 3*t = 2*r + 8. Let c be 3 + -4 + (t - 5101). What is c rounded to the nearest one thousand?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange v + 4*v**2 + 22375 - 22200 - 4*v**2 + v**3 to the form w*v**2 + o*v**3 + c + p*v and give c.\nAnswer: 175","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 12\/216*-4*(-6)\/8. What is the nearest to -0.44 in -3, 32, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = 7 + 15 - 21 - 2*h**2 - h**2 + 10*h - 7*h. Calculate w(-4).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 417 divided by -139\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 448 and 7392?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand -1 - 3*f + 1 - 3*f - 3*f + 2*f + (-5 + 3 + 4)*(3*f + 4*f - 5*f) - 4*f + 3*f + 3*f - 16 + 16 + 2*f.\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -202 + 4 = -6*p. Let g be (-6)\/4*(-2288)\/p. Calculate the greatest common factor of g and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve u - 35*m + 80 = 6*u, 2*u = 2*m - 86 + 70 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 1\/10 of a minute?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 29 divide 385?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 1.75 and -0.09.\nAnswer: -0.1575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((((g\/(g**(-1\/2)*g))\/g*g)\/g)\/g)\/(g\/(g*g**(-10)*g)))\/(((g*g**(-7)\/g)\/g)\/(g\/g**(4\/13))) assuming g is positive.\nAnswer: g**(-47\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -792\/17 + 5031\/85. What is the common denominator of a and -30\/11?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 4 + -3 - 12 - 3. Let i = v - -38. What is the highest common divisor of 16 and i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 19163+0.2122\nAnswer: 19163.2122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -602690, -1205564, -1808438, -2411312?\n\"Answer: -602874*x + 184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 15*((-1 + 2)*2)\/(-3). Let l be x\/15 + 15548\/(-6). Is 17 a factor of (-2)\/(-5) - l\/45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 19068856 to the nearest integer?\nAnswer: 4367","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 1\/5 - 6\/15*152\/(-16). What is the biggest value in -0.1, -32, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from owzsyisiz. What is prob of picking 1 s and 1 i?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 65\/3 of a hour in minutes?\nAnswer: 1300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert -20 (base 6) to base 10.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = 8 - 2 - 2*u + u**2 + 9 + 3*u. What are the prime factors of n(0)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = z - 4*z. Let b = 3 + z. Suppose 0 = 2*t + b*j - 47, 3*t + 4*j - 70 = -0*t. Calculate the least common multiple of 8 and t.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = -5*w**2 + 5*w. Let s(i) = i**2 - 1. Let b(t) = -4 + 9*t**2 - 4*t**2 + 2*t**2 + 0*t**2 - t**2. Let h(j) = -b(j) + 4*s(j). Determine h(q(l)).\nAnswer: -50*l**4 + 100*l**3 - 50*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (2\/12)\/(10560\/2304). Sort q, 1, 2, -0.02, -2\/13 in increasing order.\nAnswer: -2\/13, -0.02, q, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 3412 - 2?\nAnswer: 3410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 959185?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 1042 - -11?\nAnswer: 1103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = -8*q + 6. Suppose -5*b = 4*h - 0 - 7, 5*b + h = 13. Suppose -b*o + o - 8 = 0. List the prime factors of z(o).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6*r + r + 4*r)*(3 + 3 - 5) + r - 3*r - 8*r + 11*r + 26*r + 4*r - r - r + 4*r.\nAnswer: 32*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (31 - (42 - -16)) + 56?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -94437.139 rounded to the nearest one thousand?\nAnswer: -94000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/5, -43, 2\/17, 2 in increasing order.\nAnswer: -43, 2\/17, 2\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-6 - -2)\/(-12))\/(6\/1116). Calculate the highest common factor of 155 and n.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 c and 2 n when three letters picked without replacement from {b: 5, i: 4, n: 5, m: 3, c: 1}?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s be -1 + 1\/2 - -3. Let o be (-1)\/6*(-9)\/(-6). What is the closest to -1\/4 in o, 2\/15, s?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 1152 and 18 + 12 - (1 + -7)?\nAnswer: 1152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 89, 4, -2, -1 in increasing order.\nAnswer: -2, -1, 4, 89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0 - -2. Let k be 9 + (2\/(-6))\/((-2)\/(-24)). Suppose x + k*v = 15, -9*x + 5*x - 5*v + 30 = 0. Which is the third biggest value?  (a) 0.25  (b) g  (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0 - j + 2*j - 290*j**3 - 163*j**2 + 0 + 164*j**2 to the form l + d*j**2 + y*j + v*j**3 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.074 - 0.026. What is the nearest to n in -5, -3\/4, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 577564851 to the nearest integer?\nAnswer: 24033","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.2, -4\/3, -0.1, 18.7, -62 in decreasing order.\nAnswer: 18.7, 0.2, -0.1, -4\/3, -62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Divide 8448 by -1408.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o be -8 + 18 - (-8)\/(-32)*44. Do -6\/1759 and o have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z - 50720 = -2*f + 46300, z - 24254 = -f. What is the tens digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -z**3 - 655 - z**3 - 1055.\nAnswer: -2*z**3 - 1710","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*i = -16*i + 8. Calculate the smallest common multiple of 22 and i.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 66*w + 396 = 63*w. Let z = 133 + w. Which is the closest to 1?  (a) z  (b) -0.2  (c) -28\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-2)\/6*((-5 - -8) + -6). Let r be 2862\/(-36) - h\/2. What is r rounded to the nearest 10?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 485 minutes before 10:35 PM?\nAnswer: 2:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.2334759 milligrams in kilograms?\nAnswer: 0.0000002334759","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is -2\/2579 >= -45\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 30 = 4*h - 6. Let f be 6 + 1 - (-2 - -4). Let g(d) = -d**3 + 5*d**2 + d - 3. Let p be g(f). Solve -5*s + p*s = h for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 4 + 1 + 1 - 1. Suppose 3*u = -r + 9, w*u - 13 = 2. Solve r = 2*n - 6*n + 8 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from yygsyyysyyy. Give prob of picking 1 s and 2 g.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 974 or 10724\/11?\nAnswer: 974","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(sqrt(44) + sqrt(2156))\/sqrt(4) + 5*(-5*sqrt(1331))**2 + -3.\nAnswer: -8*sqrt(11) + 166372","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Divide -9 by -60139.\nAnswer: 9\/60139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let -y**2 + 16*y - 48 = 0. Calculate y.\nAnswer: 4, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = -28 + m - 3*m**2 - 100*m**3 + 19*m**2 + 186*m**3 - 15*m. Let z(w) = -w - 2. Let f(l) = 2*y(l) - 28*z(l). Find the third derivative of f(j) wrt j.\nAnswer: 1032","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d*d**(3\/2))\/(d**(1\/4)*d)*((d*d**2)\/d)**(-29) assuming d is positive.\nAnswer: d**(-227\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -32\/135 and -53\/23662767.\nAnswer: 1064824515","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1 or -613\/378?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ojd when three letters picked without replacement from oopdjod.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 38711, 64373, 90035, 115697, 141359?\n\"Answer: 25662*o + 13049","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) be the first derivative of 5\/4*a**4 - 25 + 0*a**2 + 0*a - 5*a**3. Factor j(s).\nAnswer: 5*s**2*(s - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -246 + -50. Let m = -296.0071 - s. What is m rounded to 2 decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (16\/136)\/((24\/(-18))\/(6\/9))?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*r + 17 = x, -923*x + 928*x = -5 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (4\/6)\/((-2)\/3). Let v be ((-4)\/10)\/(q\/5). Find the third derivative of -3*c**v + c**2 - 2*c**5 + c**2 wrt c.\nAnswer: -120*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*y + 11*y = y - 12 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.66 + 0.46. Which is the closest to -1\/3?  (a) t  (b) -1  (c) 9\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = -2*f + 18 - 3*f**2 - 10 - 7 + f**3. Determine i(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 858 = 5*p - 2*p. Let z = -231 + 329. Let c = -72 + z. Calculate the highest common factor of c and p.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000057353763 to 5 dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = q**2 + q + 4. Let z = 8 + -6. Suppose -k + 8 = -g + z*k, 4*g + 17 = -3*k. Does 12 divide s(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1527 + 1527 - 1051117*x.\nAnswer: -1051117*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*k - 1297 = 199*k + 156*k + 1934 for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = -m**3 - m**2 - m. Let k(j) = 2*j**3 + 3*j**2 - 2. What is -3*c(y) - k(y)?\nAnswer: y**3 + 3*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 2.7  (b) 1\/67  (c) -3  (d) -1\/91\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 723 a factor of 673836?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 214653 is divided by 133?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 2  (b) 3  (c) 4  (d) -0.5  (e) 1\/85\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*l + 1326 = -522. Is 14 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1246968?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = 4*u**2. Suppose o - 8 = -4*d + 5*o, -2*d = -o - 1. Let v be i(d). Let a(j) = 12*j - 1. Let x(y) = -53*y + 3. Let b(z) = -9*a(z) - 2*x(z). Give b(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (36 - (47 + -7)) + (-49 - -19)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 4\/15 of a millennium in months?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 9641408?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) be the first derivative of -2*o**3\/3 - 28. Let b(k) = -45*k - 3. Calculate u(b(j)).\nAnswer: -4050*j**2 - 540*j - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 321, 316, 311?\nAnswer: 306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = -3 + 3 - 3 - u - 3. Calculate l(-10).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1076843, 4307373, 9691583, 17229473?\nAnswer: 26921043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d - 33 = -3. Suppose 4*g - 46 = -2*x, -3*x + 2*x - 3*g + 22 = 0. Suppose -3*i + x = -77. Solve i = -5*u - 7*s + d*s, -s + 18 = -3*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1856 + 2001. Is 29 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 3*((-979)\/(-165) + (-6)\/10). Let f = 2 + 2. Suppose -i = -0*c - f*c. Is 4 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from shhsh. Give prob of sequence hshs.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort -32\/7, 0.4, 22 in descending order.\nAnswer: 22, 0.4, -32\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -25*v**2 + 5*v + 164 wrt v?\nAnswer: -50*v + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 53864 or 431?\nAnswer: 431","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 260712 is divided by 598.\nAnswer: 582","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 197782165 to the nearest integer?\nAnswer: 14064","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2788?\nAnswer: 2, 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c\/(c**(5\/7)\/c*c))\/((c\/(c*c**(-1)*c))\/c))\/(c\/(c*c**(-2\/5)*c))**10 assuming c is positive.\nAnswer: c**(51\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 277 minutes after 11:24 PM?\nAnswer: 4:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 186 - 106. Suppose -b + 0 = 5*x - i, -5*b - 80 = -5*x. Suppose 3*g - 64 = -x. Calculate the remainder when g is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 56010, 112003, 167984, 223947, 279886, 335795, 391668, 447499?\nAnswer: 503282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 27416?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -21a6 (base 14) to base 15\nAnswer: -1ada","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = 292*o + 70959. Determine m(-243).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 134278971*y**3 - 638405491*y**2 wrt y.\nAnswer: 805673826","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 0.4  (b) 3\/4  (c) 0  (d) -0.037\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -20*g - 15*g**3 - 16045 + 16045.\nAnswer: -15*g**3 - 20*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1954*x**4 + 253*x**4 + 447*x**4 + (5*x**2 - 5*x**2 - x**2)*(0 - 3*x**2 + 0) to the form w*x**3 + m*x**2 + p*x**4 + k + z*x and give p.\nAnswer: 2657","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = -j**2 - 14*j + 8. What is the units digit of u(-13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) be the second derivative of -j**4\/12 - 5*j**3\/2 - 5*j**2 - 4*j. Calculate the lowest common multiple of f(-14) and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-62)\/56 + (-1)\/(-4). Let g = 72.37 - 72. Let p = g + -0.07. What is the biggest value in 4, p, k?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 6.1795 and 0.3.\nAnswer: 1.85385","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) -21  (b) -1  (c) 2\/3  (d) -1\/4  (e) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = -14*k**3 + k**2 - k - 1. Let f be d(-1). Let r(w) = -3*w + 15. Let t be r(-5). What is the highest common factor of t and f?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -161 - -191. Suppose 15*b - o = -15. Let a = 7 + 2. Sort a, b, -2 in descending order.\nAnswer: a, b, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 31351263 to the power of 1\/2, to the nearest integer?\nAnswer: 5599","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 49*u + 10728 = 53*u - 4*o, 2*u + 4*o = 5388. Is 13 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 121 minutes before 10:10 AM?\nAnswer: 8:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 11832386?\nAnswer: 2, 109, 54277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -240134141 (base 5) to base 14\nAnswer: -208892","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6.259778 centuries to decades.\nAnswer: 62.59778","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s - 3*o = 0, 5*s = 3*o + o. Suppose -32*q + 16*q + 43936 = s. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*u + 20 = 68. Let c be ((-4)\/u)\/(26\/(-3) + 0). Let n be ((-2 - -2) + -1)*(10 - 9). What is the nearest to n in -3, c, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-480)\/(-540))\/(8\/(-3)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = -l**2 + 3*l - 3. Let x(t) = -t + 1. Let h(z) = v(z) + 3*x(z). Let m(a) = -3*a + a - a. Determine h(m(y)).\nAnswer: -9*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 83\/4?  (a) -0.03  (b) -51  (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 245*i**2*r**2 + 35*i**2 - 2601*i*r**2 - 2*i wrt i.\nAnswer: 490*r**2 + 70","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5864796 is divided by 89.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 67*z**5 + 25*z - 133*z**5 + 70*z**5 wrt z?\nAnswer: 80*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 2216 and 2233 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 1485713 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -60 - 59. Let h = a - -124. Solve -2*f + 5 = -5*m, f - h*f - 4 = 4*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3039*g - 5073*g - 19687*g)*(2*g**3 + 0*g**3 - 3*g**3) to h*g**4 + x*g**2 + q*g**3 + d*g + f and give h.\nAnswer: 21721","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -69*5\/(300\/(-11980)). Calculate the greatest common factor of 23 and p.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.41 - 0.09. Let x = -1.4 - -5.4. Let d = x - 6. Sort -3, v, d in descending order.\nAnswer: v, d, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 0.2, -6, -35, -0.3, 1\/4, -7\/4?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 116\/(-58)*(3 - (-120)\/(-39))?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o = -5*o + 508. What is the hundreds digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.7358527 to one decimal place.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k**(3\/19)*k*k**(-16)*k)\/(k**0)**47)**(14\/11) assuming k is positive.\nAnswer: k**(-3682\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -139*m**3 + 142*m**3 - m + m.\nAnswer: 3*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8*c**3 - 6568*c + 6568*c.\nAnswer: -8*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 1, -2, -46525, -13, -3, 0.\nAnswer: -46525, -13, -3, -2, 0, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -10*v + 13*v - 2*d - 7, 3*v + 4*d = 31 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 24\/(-9)*65\/((-2210)\/(-612)).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2538323?\nAnswer: 2538323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 1\/58 smaller than 32?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) be the first derivative of 0*f - 1\/8*f**4 + 1\/3*f**3 + 1\/60*f**5 - 2 + 3\/2*f**2. Let o(z) be the second derivative of l(z). Solve o(b) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = 2*c**2 - 7*c - 67. What is the remainder when l(-12) is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = -y**2 - y - 1. Let m(t) = 7 - 9 - 6 - t. Let p be m(-10). Determine d(p).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y + 11 = -4*m + 110, -y - 2*m = -15. Let o(v) = -70*v - 4. Let s = -57 - -56. Calculate the remainder when o(s) is divided by y.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 - (-2 - -4) - (-7 - -8).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2 in 2\/11, 0.02, 1, 14655, -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*y - x = y - 8, 0 = 5*x - 25. Suppose -y*z + 56 = z. Let s = 26 - z. Solve -5*o = -u + 32 - s, 0 = -o - 4 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*((-4*(-2 + (-2*sqrt(98)*6 - -2*(1 + sqrt(98)))))**2 + 5).\nAnswer: 313610","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 15 and 140.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -5b23 (base 13) to base 9\nAnswer: -18583","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from axddd. What is prob of sequence xxxa?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2788c1 (base 13) to base 8.\nAnswer: 3526076","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide 19507 by 4486.\nAnswer: 19507\/4486","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 32167839745 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 5 + -4 + 2 + 25?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (0\/(-1)*(-2)\/4)\/((-3980)\/1990)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 2\/(-5)*125485075\/(-170) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p*p\/((p\/p**(-13))\/p))**(-14) assuming p is positive.\nAnswer: p**154","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 32060 - 32058. Factor 6\/5*f - 18\/5 + 2\/5*f**3 + 2*f**t.\nAnswer: 2*(f - 1)*(f + 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*i + 26 = -226. Calculate the greatest common divisor of i and 288.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*p = 6*p - 1 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2*d**2*h - 98*d*h + 165*h wrt d.\nAnswer: -4*d*h - 98*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = -y**3 + 301*y**2 + 15542*y + 9669. What is u(346)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (13\/7 + -2)*-1327. Let g = -189 + q. Let p be 22\/(-10) - 2*-1. What is the smallest value in p, 2\/19, g?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -n**5\/8 + 2*n**4 - 29*n**3\/8 + 7*n**2\/4 = 0 for n.\nAnswer: 0, 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*q + 108 = 16*q - 5128. Calculate the remainder when q is divided by 61.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1307 is divided by 34.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s be -1*(-140)\/16 - 6\/8. What is the highest common divisor of 2 and s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 127525 is divided by 31742?\nAnswer: 557","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find h such that -10*h**5 + 155*h**4 + 95*h**3 - 235*h**2 - 85*h + 80 = 0.\nAnswer: -1, 1\/2, 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 23\/32 and 85\/556.\nAnswer: 4448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:39 PM and 4:01 AM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express 2 + 3*v - 2 + 4 + 23*v - 4 + (-2 + 0 + 3)*(v - v - v) + (v + 4*v - 4*v)*(-3 + 2 + 2) - v - v + 0*v + 4*v - 2*v + 2*v as l*v + x and give l.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -26029231\/111163 + 3044\/13. Is -1 less than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 10*b - 108 + 18 for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert -264 (base 7) to base 13.\nAnswer: -b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 n, 1 c, and 1 m when three letters picked without replacement from {m: 3, j: 2, h: 1, n: 2, c: 4}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = -i**3 - 11*i**2 + 2. Let w be q(-11). Suppose w*j = -2*j - 198400. Let v be 250\/(198396\/j + 4). Round v to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-20)\/8)\/(20\/(-6))*(-5600)\/13650.\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1203 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -0.3, -1\/4, -65, 45 in ascending order.\nAnswer: -65, -0.3, -1\/4, 3, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = -20*g. Let f(q) be the first derivative of -151*q**2\/2 - 2*q + 176. What is f(u(x))?\nAnswer: 3020*x - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + sqrt(396))*-6.\nAnswer: -36*sqrt(11) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (b - b - 2*b)*(50 - 99 - 49)*(-5 + 5 + 4*b**2).\nAnswer: 784*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h**4 - 48*h**3 - 219*h**2 - 270*h = 0. Calculate h.\nAnswer: -9, -5, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: (-22 - -24) + (-2 - -1) + -5\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = -g**2 + 2*g + 1 + 5 - 8 + 3 - g**3. Determine r(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 811090?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = -317*w**2 - 191*w. Let p(f) = 315*f**2 + 189*f. Let q(x) = -6*h(x) - 5*p(x). Find the second derivative of q(o) wrt o.\nAnswer: 654","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 93 + -90. Let h = -2 - -6. Solve p*u + 4*f + 4 = -f, -3*u - h*f = 5 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = -11*f. Let d(m) = -316904*m**2. Give d(c(r)).\nAnswer: -38345384*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = k**3 - 7*k**2 - k - 7. What is z(6)?\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {y: 2, a: 5}. Give prob of sequence yay.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y = 3*y - 185. List the prime factors of y.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*k - 30 = -4*k. Is (-881)\/(-4)*6 + k\/(-12) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -207*h = 727 + 722 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = 14*p + 12. Give a(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 1930278737 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from {z: 3, v: 4, w: 4}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) be the second derivative of -c**4\/12 - c. Let d(f) be the first derivative of -3*f**2\/2 + 3. Give d(q(l)).\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 24*d - 14 = 10 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1855?\nAnswer: 5, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -5620821, -11241643, -16862465, -22483287, -28104109, -33724931?\n\"Answer: -5620822*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -250*v + 2584 = -95*v - 87*v for v.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = -5*q**4 + 48*q**3 + 3*q**2 + 3. Let u(o) = o**3 + o**2 + 1. Let g be 1*3\/(((-90)\/(-5))\/6). Let s(n) = g*k(n) - 3*u(n). Factor s(f).\nAnswer: -5*f**3*(f - 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -10?  (a) 0.1  (b) 2\/335  (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i be -75*((-56)\/(-35))\/(-1). Suppose -2*s + i = s. Calculate the greatest common divisor of s and 48.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -844*o - 832*o + 1604*o - 2880 for o.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 23577614?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 9153887 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round -1.014188 to two dps.\nAnswer: -1.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4389*l + 63757 - 30903 + 46189 + 17515 = 0 for l.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = q**3 + 19*q**2 + 19*q + 20. Let x be y(-18). Suppose -2*p - 122 = -4*w, 61 = -p + 3*w + x. Let o = p - -121. What are the prime factors of o?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from szssszzssssszssszsz. Give prob of sequence szz.\nAnswer: 65\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0 + 6033.\nAnswer: 6033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = g**3 - 6*g**2 - 2*g + 6. Let s be z(7). Suppose -3*i = -s - 34. Let m = -2253 + 2275. Which is smaller: m or i?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 5 from -105289610.\nAnswer: -105289615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 1276\/3190 + (36\/10 - 1). Which is smaller: -0.421 or q?\nAnswer: -0.421","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 88\/7 + (-3)\/(-7) is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3 - 1 - 1)*(6*r**3 + r**3 + 3*r**3) - 6*r**3 - r**3 - 3*r**3 as p*r + n + o*r**2 + u*r**3 and give u.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -5 + 2. Let m(w) = -w**3 - 4*w**2 - 3*w + 3. Let h be m(a). Suppose -7 = -5*j + 5*n + h, 2*j = n + 3. Is 3\/2 at most as big as j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 808 a factor of 239916?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 8 - 12. Let a be (4 + 30\/c)*-16. Let y = a + -10. Is 23 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add 73 and 1347.\nAnswer: 1420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m + 6 = -4. Solve 4*n = 2*k - 4, -m*k = 5*n - 0 - 10 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from wwwwffwwffffwf. What is prob of sequence ffw?\nAnswer: 7\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -81 = 3*y - 27. Let v be (-1767)\/54 + (-4)\/y. Let l = 33 + v. What is the biggest value in 3, -0.4, l?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4186762 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.0904 > -3\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = 585*m - 12324. Let o(s) = s**2. Calculate w(o(p)).\nAnswer: 585*p**2 - 12324","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -111 - -120. Let w = 5 - 0. Calculate the remainder when k is divided by w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-2 - (-350)\/165)\/((-2)\/(-11))\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -5?  (a) -2\/55  (b) 5  (c) 35  (d) -3\/5  (e) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 12033, 18636, 25239, 31842, 38445?\nAnswer: 45048","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 20\/(-16)*44\/(-165)*27\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*z + 147 = 1 + 27 for z.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -8190*18.\nAnswer: -147420","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Does 15 divide 33705?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*r - q - 4 + 1 = 0, -15*q + 2*q - 5 + 59 = -5*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7980 = 10*l + 15*l - 11*l. Calculate the smallest common multiple of l and 513.\nAnswer: 5130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 169289163 to the nearest integer?\nAnswer: 13011","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 56 (base 11) to base 15\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = 267*j**3 + 6*j**2 + 6*j + 50. Let z(q) = -269*q**3 - 5*q**2 - 5*q - 49. Let a(u) = -5*n(u) - 6*z(u). Differentiate a(k) wrt k.\nAnswer: 837*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1285?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -659*h**6 - 2*h**5 + 868*h**2 wrt h?\nAnswer: -79080*h**3 - 120*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {j: 1, n: 1, d: 1, f: 1, a: 1}. Give prob of sequence jnd.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -2 (base 11) to base 3\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 0.3*613381\nAnswer: 184014.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = 3*p - 32. Let x be q(12). Suppose x*a - 9013211 = 56986789. What is a rounded to the nearest one million?\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine i so that -i**2 + 52721*i - 52720 = 0.\nAnswer: 1, 52720","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) be the second derivative of 723*b**5\/10 - 8*b**4 + b + 134. Find the third derivative of u(v) wrt v.\nAnswer: 8676","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = 36*t**2 + 7. Let f(q) = -q - 8. Let j be f(-5). Is n(j) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 202 is divided by 87?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -4 + 0 + -3 + 10 - -2\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -2*1.64\nAnswer: -3.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*x - 141*o + 292*o = 149*o + 56, 0 = 2*x + 4*o - 52 for x.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (2\/4)\/((-15)\/(-30)). Let u be (a - -1)*638\/(-4). Let l = 1182 + u. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -48\/7*n - 72\/7 + 30\/7*n**3 - 22\/7*n**4 + 118\/7*n**2 - 6\/7*n**5 = 0. Calculate n.\nAnswer: -3, -2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 1 + -64280?\nAnswer: -64278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -0.02, -0.5, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-8)\/(-14))\/(-18 + (-3000)\/(-168)). Which is the closest to 0.049?  (a) 1  (b) 3  (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t + 3 = 3*r - 4*r, 3 = -4*t - r. Solve 5*z - k + 18 = -t*k, 3*k + 6 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 4912*q**6 + 2*q**2 - 84*q - 3 wrt q?\nAnswer: 589440*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = -4*x. Let l(r) = 3*r**2 - 4*r**2 + 504*r + 507*r - 1083*r. Determine i(l(b)).\nAnswer: 4*b**2 + 288*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in seventeen halves of a centimeter?\nAnswer: 85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor p**2\/3 + 111*p + 12716\/3.\nAnswer: (p + 44)*(p + 289)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/4 in 1\/5, 2, -38?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*w - 4*w = 16*w + 270 for w.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in fifteen quarters of a hour?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:28 AM and 5:37 PM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {n: 2, d: 1, v: 4}. What is prob of sequence vdv?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*a - 36 = 2*a. Let z = a - -12. Is (-1410)\/z - (3 - 1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*z**2\/7 + 3026*z = 0. What is z?\nAnswer: 0, 10591","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -11 - -5. Let g = -36 + 16. Let p be g\/j - 1\/3. Solve 3*c = 4*c - 4*x - 21, -2*x = p*c - 7 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 5*z - 6*z + 0*z)*(12 - z**2 - 7 + 8*z**2).\nAnswer: -7*z**3 - 14*z**2 - 5*z - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*p - 2*p + 6*p)*(3 - 3 - 5*p**2) + 6*p**3 + 9*p**3 - 24*p**3.\nAnswer: -14*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*h + 7*h - 728. List the prime factors of h.\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 17513644487 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 351242?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 14*0.28.\nAnswer: 3.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/7 in 0.2, 10, 4, -5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is (171\/8)\/19*1088\/51?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 12.4 - 12. Let f = 1.4 - 1.2. Let d = f + 0.8. Put d, -0.2, n in decreasing order.\nAnswer: d, n, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7 = -4*m - 7. Suppose -g - 4*g + 25 = m. Suppose -2*a + 3*a + 27 = -3*p, -3*a - 25 = 2*p. What is the nearest to p in 2\/3, g, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -165 + 165.1. Let d be 1\/3*(-9)\/(-4). Which is the closest to j?  (a) 0.2  (b) d  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = -x**2 - 10*x - 8. Let z be (96\/(-80))\/(4\/30). Let q be d(z). Let i(n) = -7 + 6 + q - n. Let o(u) = -16*u. Determine i(o(b)).\nAnswer: 16*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.1 and -0.79.\nAnswer: -0.079","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((2\/(-6))\/((-9)\/(-45)))\/(6370\/(-588)).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 438336 or 438333?\nAnswer: 438333","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 433148869?\nAnswer: 433148869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 47 - 17 - h - 15 - 15.\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-6)\/32)\/(559\/(-169936)).\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Product of -131.7 and -24.\nAnswer: 3160.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put 382\/3, -5\/4, 659, 5 in ascending order.\nAnswer: -5\/4, 5, 382\/3, 659","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 4, 9, 0.4 in increasing order.\nAnswer: -4, 0.4, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*c = -2*c + 12, 3*k = -3*c + 3. What is the closest to -4 in -2\/3, 1\/2, k?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1136475 * 4.7\nAnswer: 5341432.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 0.043 + 2.36\nAnswer: 2.403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 2.1 or 8\/45?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -3 + 3 + (240 - 226)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -110011011010 - 10011000?\nAnswer: -110101110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7\/28 + (-6604)\/(-16)?\nAnswer: 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = 3*s - 15. What is o(27)?\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -570 or -225701?\nAnswer: -225701","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*l**3 - 6*l**2 + 18*l**2 + 170*l - 91*l - 82*l.\nAnswer: -2*l**3 + 12*l**2 - 3*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = 107*b**2 - 3*b + 4. Suppose -2 = 50*m - 51*m. Suppose 4*t = 4*i - 12, -5*t + m*i - 6*i + 21 = 0. Is 18 a factor of u(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-10)\/16*-6*1888\/2832.\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 29 + -26. Is l at most as big as 5\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -154486046 by -15994.\nAnswer: 9659","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 821 is divided by 350?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:27 AM and 4:10 PM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (16\/((-16)\/(-4)))\/(25\/(-5)).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*x - 3*x + x)*(1 - 1 + 3*x)*(-3*x - 3*x + 5*x).\nAnswer: 6*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of (-1)\/(-3 - (-81392)\/27136) and 424.\nAnswer: 1696","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*a - 8*a + 4 = 0. Solve -6*g + a*g = -16, 5*q - 5*g = -10 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 6713*i - 3041 with respect to i.\nAnswer: 6713","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(85) + sqrt(85) + sqrt(85) + 4*2*sqrt(85) - -3*(sqrt(85) + (sqrt(85) - sqrt(85)*1)))\/(6*-4*2*sqrt(5)))**2.\nAnswer: 833\/576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 617 times 167\nAnswer: 103039","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.033 + -4.033. What is the closest to -3 in s, 0, -0.1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = 104*p - 103*p. Suppose 0 = 3*m + r + p - 7, -m = -5*r + 15. Solve 2*n + t + 5 = m, 2*n - 11 = n - 5*t for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -4 + 7. Suppose b + 0*b + 4*w = 2, b + 3*w - 2 = 0. Suppose -20 = -t - f, -b*f - 72 = -2*t - o*t. Solve -3*s = -n - 1 - 0, 0 = -4*n + 2*s + t for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (3718\/2704)\/((-55)\/(-30))?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -248690718, -248690715, -248690706, -248690685, -248690646, -248690583, -248690490, -248690361?\nAnswer: -248690190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = -81305*g - 447. Is i(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*s - 4. Suppose l + 42 = d, 0*d + 76 = 2*d + s*l. Suppose d - 94 = -2*x. What is x rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = t**3 + 4*t**2 + 2*t - 1. Let h be m(-2). Suppose h = 2*d + 9, -3*p = -4*d - 18. Solve p*c - 7*c = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-24)\/12*10\/(-4). Suppose s*l - 39 - 263 = 2*q, -322 = -5*l - 3*q. Calculate the remainder when l is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 - ((-3 - 2) + 10)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 32, 70, -38, -430, -1244, -2618, -4690?\n\"Answer: -23*c**3 + 65*c**2 + 4*c - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 540\/21 - (-4)\/14. Suppose b*z - 132 = 50. Solve 0 = 2*n - 10, d - z*n = -3*n - 19 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-190)\/(-12) - (-2241739)\/(-16626).\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 58767.93t to grams.\nAnswer: 58767930000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 2411 - -4?\nAnswer: 2420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5241774?\nAnswer: 2, 3, 281, 3109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 746 - 206*w**3 - 373 - 373.\nAnswer: -206*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 14266813 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 5 + 4. Suppose a = 4*k + 41. Let v = k - -12. What is the remainder when 11 is divided by v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -45 + 15?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1030 + 1047. Suppose -7 = 3*g - 4*x, 0 = 4*g + 3*x - 16 + t. Let m be 10\/(-4)*1\/(-5). Which is the nearest to g?  (a) m  (b) -3\/14  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) be the third derivative of 0*t**7 + 0*t + 5*t**2 + 0*t**4 - 1\/6*t**5 + 0*t**3 + 0 + 0*t**6 + 1\/112*t**8. Find the third derivative of h(i) wrt i.\nAnswer: 180*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -570 + -35?\nAnswer: -615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p = -2*z + 60806, -3*p - 49430 = 4*z - 3842. Round p to the nearest 1000.\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y - 20 = 5*p - y, 0 = -5*y. Let q(u) = 7*u**2 + 2*u. Let m(w) = 13*w**2 + 3*w. Let z(t) = -6*m(t) + 11*q(t). Let o be z(4). Are o and p non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9.8472 - 8.88?\nAnswer: 0.9672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -10100101001110 + -100110100011?\nAnswer: -11001011110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = z**2 - 4*z - 4. Let s be l(3). Let n = s - -11. Let f(m) = -m + 6 + 0*m - 2*m. Give f(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8045*g - 6393*g = -3476*g + 84533 - 238001 for g.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from jqcqqjcccqucjuuu. Give prob of picking 1 c and 1 j.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k\/k**(1\/16))\/(k*k\/(k**1*k)))**(-5\/6) assuming k is positive.\nAnswer: k**(-25\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3477 + 5*f**4 + 6*f**2 + 3479 - 6956 - 2*f**3 to the form m + x*f**4 + y*f**2 + q*f + p*f**3 and give x.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v + 1 = -2*k + 8, -4*k = -5*v + 7. Let t be 6 + -2 - 4\/2. Suppose t*s + 11 = 1. Sort 5, s, k in ascending order.\nAnswer: s, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 15 - 125*j**2 - 22 + j - j + 63*j**2 + 63*j**2.\nAnswer: j**2 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 9 + -7. Let g(i) = 2*i - 5. Let k(m) = 4*m - 10. Suppose 4*l = 6*l + 10. Let h(v) = c*k(v) + l*g(v). Find the first derivative of h(j) wrt j.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.1, -3, 25 in increasing order.\nAnswer: -3, -0.1, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 + 4 + -5 - -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f**4\/4 - 25607*f**3\/2 + 444103*f**2\/4 + 196357*f\/2 - 538020 = 0. Calculate f.\nAnswer: -17080, -7\/3, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3034)\/222 + (-12)\/(-18).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((v**(2\/15))**(-27))**30)**(4\/41) assuming v is positive.\nAnswer: v**(-432\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-590)\/177*12\/10. Let f(z) = z**2 + 8*z + 12. What is f(l)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = 10*q - 48. Let k be z(6). Calculate the greatest common divisor of 60 and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 1\/18 and 130\/(-28) + 20\/(-10)?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -201 - -187007203262?\nAnswer: 187007203061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-5)\/3 + (-5)\/(-15). What is the third smallest value in v, -2, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5216928 rounded to the nearest 100000?\nAnswer: -5200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j - 3*r - 9 = -0*r, 0 = 5*j - r - 17. Let m be 25\/(-30) - (-101)\/6. Suppose a + m = j*a. Is 6 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*j**3 - 6*j**3 + 2*j + 3*j**4 - 7*j**3 to m*j + l*j**4 + f + q*j**2 + x*j**3 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -15 - -15. Suppose k - 5278 = -6*j + 2*j, w = j + 5*k - 1310. Suppose -2030 - j = -5*g. Round g to the nearest one hundred.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 1203 - 0?\nAnswer: 1203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = -s**3 + s**2 - 1. Let n be w(0). Let b = -7.9 - -7.6. What is the biggest value in b, 4, n?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 190.5, 1\/2, -3?\nAnswer: 190.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2081530, -4163217, -6244904?\nAnswer: -8326591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (-6)\/(-63)*-3 - 715\/(-6930) and 11\/288?\nAnswer: 2016","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = n**2 + 6637*n - 99689. Determine u(15).\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p - 1726 = 2*b, -3*b - p - 2588 = 3*p. Let t = b + 931. Does 11 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 23*o - 18 = 5*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -147.831 + -0.169. Let q = 19323.3 + -19471.217. Let z = m - q. What is z rounded to 2 dps?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h - 6 - 14 = -d, 0 = 2*d + h - 28. Suppose d*v + 750 - 2178 = 0. Let q = -35 + v. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is edd - e15?\nAnswer: c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*(sqrt(24) + sqrt(96)\/(-4*sqrt(4) - sqrt(4))))\/((3*sqrt(108)*-5)\/sqrt(9)).\nAnswer: 8*sqrt(2)\/75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11328 = 550337*h - 550160*h for h.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-3 + -2)\/(-1*1). Let s = c + -3. Suppose 3*m + 5*q - 23 = -m, -3*m + 12 = s*q. Is 2 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:13 AM and 5:03 PM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q = -2*q. Let x be (4 + 1)\/(4\/4). Suppose -x*t - 4*a + 1 = -1, t + 3*a = -4. Solve q = 2*s - t for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -11 + (9\/(-15) - 4\/10). Let u(f) = f**3 + 13*f**2 + 13*f + 12. Let l be u(z). Solve -3*m + 2 - 8 = l, a = m + 3 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 26\/5 of a hour?\nAnswer: 312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ntmt when four letters picked without replacement from {m: 1, n: 2, q: 3, t: 3, l: 1, x: 5}?\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-32)\/4)\/(-1)*1\/4. Factor f*i + 4\/3 + 2\/3*i**2.\nAnswer: 2*(i + 1)*(i + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) be the third derivative of -d**4\/24 + 3*d**3 + 2*d**2 + 19. Suppose -7*z + 420 = 23*z. What is b(z)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1579803?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 8, 13, -5, -140 in descending order.\nAnswer: 13, 8, 2, -5, -140","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 28054a6 - -4?\nAnswer: 28054aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 675 and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 - 341*o**4 + 314*o**4 + 3)*(4 - 2 + 9).\nAnswer: -297*o**4 + 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is (5\/1)\/(2793\/(-931))?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ooou when four letters picked without replacement from {u: 6, o: 7}?\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*f + 2*f**3 + 2*f)*(-f - f**2 + f) - 8*f**3 - 47*f**5 + 8*f**3 + 4*f + 2*f**4 - f**5 + 3*f**3 - 4*f + 2*f**4 - 2*f**4 - f**5.\nAnswer: -51*f**5 + 2*f**4 + 3*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is seven sixteenths of a century in months?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 559269307 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"}
{"text":"Question: Let l be 18\/5*(8 + -13)*64. Let v = -661 - l. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0, -28880, -0.5?\nAnswer: -28880","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 3665954 to the nearest integer?\nAnswer: 1915","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:32 PM and 9:12 PM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 41577526?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = a**2 - 5*a + 3. Let h(v) = v + 5*v - 6*v + 13 - v. Let l be h(6). What is o(l)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -14.5143*-197.\nAnswer: 2859.3171","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 60 + -122. Suppose -2*i + 5*i = -63. Let f = i - x. What is the tens digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3 + -15 + 12 - -14 - 23\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qqqq when four letters picked without replacement from qqqqqqqqqq?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 300 minutes before 4:39 PM?\nAnswer: 11:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is (1 - (-220)\/7) + (-20277)\/47313?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:22 AM and 8:52 PM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 84*w - 78 = 58*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 1 + 1)*(2 + 0 - 1)*(5 + 1 - 4)*(-4 - 369*h + 4 - 1).\nAnswer: -738*h - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from lbbl.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -25454 + 39577. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 526 (base 7) to base 9\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(5 + 5 + 1*(-1*sqrt(153))**2) + 4.\nAnswer: -811","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 9414 is divided by 147.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 10040374 and 24833?\nAnswer: 190767106","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -21*h + 198503 - 198965 = 0 for h.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {x: 2, g: 1, k: 2, q: 9, z: 1, p: 3}. Give prob of picking 1 g and 1 p.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 39526 to the nearest integer?\nAnswer: 199","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 41133174 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -46051, -45383, -44739, -44125, -43547, -43011, -42523?\n\"Answer: -p**3 - 6*p**2 + 693*p - 46737","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = 11*o**2 + 3*o. Let z(n) = 10*n. Calculate b(z(h)).\nAnswer: 1100*h**2 + 30*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = 2*o**2. Let f(u) = -5680054*u**2. What is f(d(b))?\nAnswer: -22720216*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 198775?\nAnswer: 5, 7951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.2 in 3\/2, -1, 0.13?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*x - 0*x + 124. Let i = x - -36. Let p be -2001 - (-6 - -1)\/i. What is p rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = h**3 + 6*h**2 + 3*h - 1. Let n be -28*((-105)\/20 + 4). Let x = n + -14. Calculate the smallest common multiple of x and b(-5).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 5\/4 of a second?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -28*v = -29*v - 2. Let g = v + 18. Find the third derivative of -5*q**2 - 9*q**2 + 0*q**2 - g*q**3 wrt q.\nAnswer: -96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -140 divided by 95576\nAnswer: -35\/23894","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 573 minutes after 11:12 PM?\nAnswer: 8:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 7502 - 7475. Solve -19 + h = -d for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (0 + -3)\/(81\/(-1917)). Suppose 67 = -4*s + g. Let k(r) = -r**2 + r - 1. Let a(b) = -8*b**2 + 12*b - 12. Calculate s*a(o) - 12*k(o).\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2480802275?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify r*r\/((r*((r\/(r\/r**10*r)*r)\/r)\/r*r*r)\/r)*(r**(2\/35)*r)\/r*r*r**(-2\/13)*r*r\/(r\/((r\/r**(-9))\/r)) assuming r is positive.\nAnswer: r**(1321\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (14 - (15 + -8))*1. Solve -f*w + 8 = -5*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 9891.548ml to litres.\nAnswer: 9.891548","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*y**5 - 48*y**3 + 114*y**2 - 99*y + 30.\nAnswer: 3*(y - 2)*(y - 1)**3*(y + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-3415)\/(-20490)*(-228)\/2.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-415)\/2324)\/(10\/(-16)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 9, 37, 73, 117, 169?\n\"Answer: 4*f**2 + 16*f - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) be the second derivative of 0 + l + 1\/12*l**4 + 0*l**3 + 0*l**2. Let p(t) = -4*t**2. What is p(n(i))?\nAnswer: -4*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (4 - -44 - (24 + -13)) + -4.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -131  (b) -2\/29  (c) -4\/9  (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3200745?\nAnswer: 3, 5, 213383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -34858, -34869, -34894, -34939, -35010, -35113, -35254, -35439?\n\"Answer: -d**3 - d**2 - d - 34855","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 24926 to the nearest integer?\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -1685 (base 13) in base 8?\nAnswer: -6370","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify h*(h\/h**(2\/13)*h)\/h*h**(-11\/6) assuming h is positive.\nAnswer: h**(1\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put 158, 1, 11, -17 in descending order.\nAnswer: 158, 11, 1, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-1)\/(-5) - (-30327)\/165?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.193?  (a) -44  (b) -10  (c) -1.2  (d) -5  (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -52 + 52. What is the third biggest value in y, -4, 0.06, 0.1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -321 - -356. Suppose -j + f = -2*g + 6, 122 = -6*g - 4*j. Put -4\/5, 3, g in ascending order.\nAnswer: g, -4\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-31 - (40 + -90)) + -15.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) be the second derivative of -y**4\/12 - y**3 - 3*y**2 - 2*y - 7. Let o(n) = -5*n - 5. What is 6*o(w) - 5*t(w)?\nAnswer: 5*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 6043\/8 + (-9)\/24. Let g = f - 740. Solve -h = g*h + 64 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 2 - 2*(-9 + 1). Let g be (v\/(-5))\/((-2)\/10). Suppose 2*o + g - 3 = 5*d, -3*d = -4*o - 9. What is the common denominator of 87\/8 and d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 116870943.9 + 241614.\nAnswer: 117112557.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 50*w = 51*w + 4, 4*p + w + 4 = 0. Let q = -25 + 46. Which is smaller: p or q?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 29026697 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 8914*i**4 - i**2 + 287*i?\nAnswer: 213936*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 376 and 3?\nAnswer: 1128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**(-9)*n**1)**(32\/5) assuming n is positive.\nAnswer: n**(-256\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 15435.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find g such that 50*g**4\/13 + 9320*g**3 + 145248*g**2\/13 - 174368*g\/13 + 38752\/13 = 0.\nAnswer: -2422, -2, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -8\/481 + 31377\/6734. Calculate the common denominator of s and -73\/230.\nAnswer: 1610","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m = -4*d - 10, 0*m - 4*m = d - 20. Suppose -18 - m = -2*t. Is t a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 2.3 - -0.7. Let p = 105 + -104.7. Sort s, 0.5, p in decreasing order.\nAnswer: s, 0.5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = -l**2 - 12*l - 16. Let o be d(-9). Is o >= 9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -323 - -385. Is j a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 23\/215022 and -17\/22.\nAnswer: 2365242","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 155318 and 698931?\nAnswer: 1397862","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i be -53 + (788095\/(-165))\/(-89). Factor 578\/3*f + 0 + i*f**3 + 68\/3*f**2.\nAnswer: 2*f*(f + 17)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = -t**2 - 5*t + 595. What is p(-27)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = -h**3 - 4*h**2 - h + 4. Does 8 divide y(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2417108 a multiple of 101?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 61777 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 7 - 3. Let a(x) = -x - 4 + 5 + h. What is the units digit of a(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**(-1\/5))**(18\/11) assuming v is positive.\nAnswer: v**(-18\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.94?  (a) 6  (b) 4  (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide 24622?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -10021121210 - -2110012?\nAnswer: -10012011121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 1110 (base 3) to base 10\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12*v - 271*w + 43 = 7*v - 275*w, -59*w - 404 = -3*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -35*w + 20*w + 45 + 0 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express 937 + 3*s**2 - 5*s**2 - 1877 + 9*s + 6*s**3 + 940 as f*s**3 + m*s + x + r*s**2 and give f.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 39\/160 and -59\/3?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = 2*r - 2. Let n be c(2). Suppose -n*t - 3 = -7. Suppose q = -q + 4*l - 12, -l = -t*q. Solve -3*v = -5*j - 18, 2*v - q*j - 7 - 1 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xhh when three letters picked without replacement from mhhhmmhxmxhhmmhmmmh.\nAnswer: 56\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_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: What is the second smallest value in 13, 2, -285455?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v - 42 = 9*v. Calculate the lowest common multiple of 35\/4 - 1\/(-4) and (8\/12)\/(v\/(-54)).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = f - 6. Let m be n(4). Let x be 4\/14 + (-30)\/7. Suppose -3 = -5*s - 18. Sort x, m, s.\nAnswer: x, s, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = -137*u**2 + u + 1. Give y(-1).\nAnswer: -137","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from aaiiiaiiaaiai?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = -s**3 + 5*s**2 - 9*s + 7. Let m(n) = n**2 - 2*n + 2. What is -9*m(k) + 2*t(k)?\nAnswer: -2*k**3 + k**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q + 8 = -12, -3*o - 5 = -q. Let t be o\/4 + 441\/28. Let g(r) = r - 12. Let n be g(t). Solve -4*w + 2*u - 22 = -8, -5*w - n*u = 1 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -59078 (base 11) in base 13?\nAnswer: -2ca72","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 2542412?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {y: 1, e: 2}. Give prob of picking 1 e and 1 y.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11*q + 37*q + 240 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 426 and 12117783.\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put 9, 0, 0.364 in ascending order.\nAnswer: 0, 0.364, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -23559111 or -23559110?\nAnswer: -23559110","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (m**2 - m**2 + 2*m**3)*(0*m + 0*m + m) + 3*m + 2*m**4 - 3*m - 1 - 69*m**4 - 67*m**4 + 21*m**4 + (0 + 0 + 2*m)*(9*m**3 - 2*m**3 + 0*m**3).\nAnswer: -97*m**4 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 4 - 1)*(4 - 4 - 2*v).\nAnswer: 8*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*j - 20*j - 4*j - 11*j in the form w*j + a and give w.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = -34*n**3 - n**2 + 2*n - 2. Let s be a(2). Let r = s - -280. Solve 3*b - r*b = -3 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = -77*x**3 - 22*x**2 - 22. Let f(c) = 11*c**3 + 3*c**2 + 3. Determine -22*f(y) - 3*p(y).\nAnswer: -11*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Does 378 divide 15481886?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3572?\nAnswer: 2, 19, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 1664239411 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express 7*k**2 + 310*k + 1171 - 1171 - 9*k**2 as b*k**2 + d*k + v and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 19741.22 minutes in nanoseconds?\nAnswer: 1184473200000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (a - 122*a**2 - 134*a**2 - 45 + 245*a**2)*(0 + 0 - 2*a).\nAnswer: 22*a**3 - 2*a**2 + 90*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (87*k**2 + 83*k**2 - 168*k**2 - 3*k + 2)*(-17*k + 10*k + 25 + 8*k).\nAnswer: 2*k**3 + 47*k**2 - 73*k + 50","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find a, given that 4*a**3 + 93328*a**2 + 536458000*a - 92778000000 = 0.\nAnswer: -11750, 168","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-3)\/(-2) - (-9)\/6. Suppose -5*l = -0*u - u - 4, -n*l + 92 = 5*u. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 22.647 - 23.61. Round o to two dps.\nAnswer: -0.96","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = -a**2 + 7*a - 3. Let d be i(1). Let f(j) = -12 - d - 2*j + 24. What is f(7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 3*b*r**5 - 3217913*b*r**3 - 2413*b*r - 931*r wrt r.\nAnswer: 60*b*r**3 - 19307478*b*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 1321*o**2 - 349?\nAnswer: 2642*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 + ((-405)\/(-18))\/(-15).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 10 + 10 + -9 - (10 - -36 - -10)\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = 2*i. Let p(y) = -1. Let c(w) = 13*w + 13. Let v(m) = 6*m + 6. Let d(r) = -2*c(r) + 5*v(r). Let b(j) = 4*d(j) + 16*p(j). Determine t(b(h)).\nAnswer: 32*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.5?  (a) -0.3  (b) 1  (c) 0.4  (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 51.2 in 1\/3, -5\/6, 5, 2\/9?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1117024?\nAnswer: 2, 67, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3317?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*u - 125*m + 123*m - 122, 2*u + 3*m = 33. Let g be (-59 - 1)*(-6)\/8. What is the highest common factor of g and u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 44\/275*(-10)\/(-4)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-13 - -17)*18\/(-4). Let b(i) = -i - 14. Let p be b(g). Solve p*v - 25 = -v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -2218519*t - 8032182.\nAnswer: -2218519","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Work out 520588 * -51.\nAnswer: -26549988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 45*r - 94 = 92*r. Let c(o) = -19*o - 1. Calculate c(r).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 at most -3\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 771853.7 millennia?\nAnswer: 77185370","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*t - 6*j - 7 - 37, 5*t - 3*j + 52 = -45 for t.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round 5076600 to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = -27*k + 2. Give d(3).\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = a**2 + a - 4. Give h(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 1704287 + -0.01?\nAnswer: 1704286.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 s and 1 w when three letters picked without replacement from ssslpsswppspwwlt?\nAnswer: 9\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) be the first derivative of -2\/3*d**3 - d - d**2 - 10 - 83901\/4*d**4. Let g be s(-1). Round g to the nearest 10000.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 26 + (9 + -8 + -1 - -3)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 194 is divided by 75.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0.1 + -0.2. Let p = -1750 - -1750.31. Is b smaller than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -142 + 12 = -26*y. Let r = -128\/35 - -11974\/3255. What is the second biggest value in 0.4, y, r?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/3 in 1253, -0.5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*i = 3*i + 6*i. Solve 2*u - 8*u = i for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 11\/630 and 43\/126630?\nAnswer: 126630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*z - 5 = 2*z. Let j = 38 + -36. What is the least common multiple of z and j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -48 in -0.5, -3, 1, 7, -1, 6\/23?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -3?  (a) -16  (b) -2\/35  (c) 1  (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 1208631 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = 222*s**2 + 1. Is d(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*d + 143 = 4*r, 957*r + 3*d = 960*r - 84 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 6541 and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 55\/34 and -41\/7480?\nAnswer: 7480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = -60*a + 4*a + 90*a**2 + a - 3. What is the thousands digit of s(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-2)\/(-6) - 4\/(-6). Suppose -2527 = -156*l + 905. Sort -3, t, l, 1\/12 in decreasing order.\nAnswer: l, t, 1\/12, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o = -2*o + 8. Suppose 0 = -c + 3*c. What is the units digit of c - -1*o*4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*y**3 - 6*y**3 + y**3 + (-3*y - 2*y**2 + 3*y)*(y + 0*y - 3*y))*(-1 - 1 + 1).\nAnswer: -3*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -2.36, 2, -1\/78?\nAnswer: -1\/78","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 248641?\nAnswer: 248641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -0.1941 times -410025\nAnswer: 79585.8525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 82541?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 6 and 1709?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -3, 1\/3, 249?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 5300362 to the power of 1\/4, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 0.4, -697, 1, 0.3, -0.4, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = -5*y - 5. Let q(h) = -5*h - 5. Let b(f) = -5*d(f) + 6*q(f). Let l(a) = -a - 1. Let m(i) = b(i) - 6*l(i). What is the derivative of m(v) wrt v?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum 2.81 and 49.4.\nAnswer: 52.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 27357844?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round 36181.09 to the nearest 1000.\nAnswer: 36000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {g: 11, i: 1, c: 8}. Give prob of sequence gcig.\nAnswer: 22\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 27425722 * 4\nAnswer: 109702888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.0433734ml to litres.\nAnswer: 0.0000433734","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from aobreuba. What is prob of picking 1 u and 1 e?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21*b - 17*b = 4. What is the hundreds digit of (3\/b)\/((-3)\/(-479))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 15645?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 111918589 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 85494.69 nanometers in centimeters?\nAnswer: 0.008549469","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -17 - (16 + -54 + -15 - 10).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Are -988 and -988 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (7\/7)\/((-1)\/3). Let x = 1 - h. Let -3*s**x - 2*s**5 + 3*s**2 + 11 + 5*s**5 - 3*s**3 - 11 = 0. Calculate s.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (30*23\/184)\/((-6)\/(-16))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1023*o + 1017*o = -162 for o.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = -v**3 + 11*v**2 - 9*v - 18. What is the units digit of t(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 16\/13*f**2 + 8\/13*f - 2\/13*f**3 - 64\/13.\nAnswer: -2*(f - 8)*(f - 2)*(f + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-8*5\/(-840))\/((-4)\/(-24))\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -48 - -55. Suppose -2*u - p = 6, -4*u + 7*u - 4*p - 13 = 0. Calculate the least common multiple of m and 1 - ((0 - 1) + u).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ckckkkkkkkkckkk. What is prob of picking 1 k and 1 c?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) 351  (b) -0.3  (c) -1\/4  (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 97 minutes before 5:41 PM?\nAnswer: 4:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 9.71 - 6.71. What is the third smallest value in 19, u, 0.2?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -30*y + 15*y - 26*y to q*y + l and give q.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 z, 1 w, and 1 f when three letters picked without replacement from faaaafddapwazffffw.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) be the third derivative of v**4\/12 + v**2. Let y(a) = -205*a + 210*a + 4 - 4. Determine t(y(l)).\nAnswer: 10*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1201884830.\nAnswer: 2, 5, 43, 61, 45821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 42 + -20. Let b = w + -22.00000017. Round b to 7 decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 22907 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*g - 190 = 22*g for g.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 85\/198 and (-105)\/132*(126\/15)\/(-3).\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 0 + 1)*(-1 + 4 - 4)*(-26 - 20 + 45)*(-57*i + 3*i - 41*i + 22*i).\nAnswer: 73*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6*b + 2*b + b)*(3 - 1 + 0 + (0 + 1 + 1)*(-1 + 19 + 12))*(b + 7 - 7)*(1 + 1 + 0).\nAnswer: -372*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -180306755666 + 180306755782.800000529. Let t = m + -116.8. What is t rounded to seven dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**(-7)\/k**(-10))\/(k**(-3))**17 assuming k is positive.\nAnswer: k**54","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 99 + (-1 - 0) + -3 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-168)\/(-35) - 3)*(254 - -1). What is the greatest common factor of r and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 4 - -2c4?\nAnswer: 2c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((3*n + n - n)*(2*n + 0*n + n) + (-112 + 112 - 97*n)*(-n - 1 + 1))*(2*n**3 - n**3 - 3*n**3).\nAnswer: -212*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*4*(-3 + 2*((3 + (sqrt(125)*2 - sqrt(125)) + sqrt(125))**2 + -1)).\nAnswer: -24312 - 2880*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 750 (base 10) in base 7?\nAnswer: 2121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 48\/(-10)*(-60)\/8. Let w(t) = 6*t**3 + t**2 - 2. Let x be w(2). Let a = x - p. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 418913 - 421315.87. Let d = u - -2393. Round d to the nearest integer.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) be the first derivative of -l**6\/240 + l**4\/16 + l**3\/6 + 2*l**2 + 3. Let s(r) be the second derivative of x(r). Suppose s(u) = 0. Calculate u.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*i + 6*i = 32. Let t be 4\/i - (-62)\/56. Which is greater: t or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**(5\/6)*o**(-27))\/((o*o\/o**(-5\/2))\/(o\/((o\/o**25)\/o))) assuming o is positive.\nAnswer: o**(-14\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 108467 to the power of 1\/3, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*g**2 + 178934*g - 357876.\nAnswer: 2*(g - 2)*(g + 89469)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -573596406 divided by 474\nAnswer: -1210119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) be the third derivative of -y**8\/1512 + 31*y**7\/945 - 19*y**6\/54 - 383*y**5\/135 - 833*y**4\/108 - 289*y**3\/27 + y**2 - 196. Factor f(c).\nAnswer: -2*(c - 17)**2*(c + 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2318*-0.12.\nAnswer: 278.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -60874 times -1241\nAnswer: 75544634","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = -2*d**3 + 21*d**2 + 3*d - 87. What is the remainder when o(10) is divided by 36?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {g: 3, x: 7}. What is prob of picking 2 x and 2 g?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort -6, -2, -8, 4721 in increasing order.\nAnswer: -8, -6, -2, 4721","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*j = 74*j - 11880. Let l be j\/72 + (-1)\/(-4). Solve 0 = -l*q - 4*q - 21 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {v: 2, g: 9}. What is prob of picking 1 v and 3 g?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in a**2 + 386126*a + a**2 - 386126*a.\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -13*t**3 + 101314*t + 6*t**2 + 1 + 0*t**3 - 101311*t to the form k + r*t + x*t**2 + z*t**3 and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 315 minutes before 8:44 AM?\nAnswer: 3:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-32)\/(-24)*(-9)\/(-6). Let w be d + 3 - 33\/11. What is s in 7 + 9*s**2 - 12*s - 2*s**3 - 1 - w = 0?\nAnswer: 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 7, 0.1, 3, 141, -6573 in descending order.\nAnswer: 141, 7, 3, 0.1, -6573","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0, -1\/22, 0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-4)\/(((-8)\/(-2))\/(-2)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 1542 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = r + 2. Let a be l(-2). Let k = a - -26. Let s = 69 - k. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = a**3 + 10*a**2 + 14*a + 7. Let x be u(-10). What are the prime factors of (-57)\/x + 116\/7?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 29961961 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = o**2 + 4*o + 3. Let z be g(-3). Let t(r) = -43*r - 2837. Let p be t(-66). Solve 3*b - p - 11 = z for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w = w - 20. Suppose -w*u - 46 = z, -u + 1 = -4*z + 21. Let f be (u\/8)\/((-18)\/8). Which is the third smallest value?  (a) f  (b) 0  (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*g = -5*g + 40. Suppose 2*y = -y - 6, 2*y - g = 2*i. Let z(m) = -m - 5. Calculate z(i).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000332 to 4 dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.1 + 0.1. Let n = -123 - -126. Let j be 3\/(-9) + (-25)\/(-165). Put n, p, j in increasing order.\nAnswer: j, p, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 111888?\nAnswer: 2, 3, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v + 10 - 2 = 0. Suppose 3*t - 15305 = -6*p + v*p, -p + t = -3828. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -11080793233\/1002 + 11058672. Let i be 1 - -35*(-10)\/334. Let y = i - m. Calculate the common denominator of y and 74\/15.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {c: 1, f: 6, v: 2, k: 2}. Give prob of picking 1 c and 1 k.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express (-854 + 854 - 84*l + (0 - 4 + 6)*(7*l - 2*l - 3*l))*(-158*l + 158*l - 20*l**3) in the form d*l + y*l**3 + f + t*l**4 + q*l**2 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from zghnt. Give prob of sequence nt.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 262449 and 29040.\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = r**3 + 3*r**2 - 1. Let p be j(-2). Suppose 57 + 12 = p*b. Let n(a) = 2*a**2 + 6. Calculate the remainder when b is divided by n(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 18312230617 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 103 + -69. Let s = 37 - i. Solve -2*c - 5 = s*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 190900 rounded to the nearest 10000?\nAnswer: 190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 4*f**4 - 17*f**3 + 3791.\nAnswer: 16*f**3 - 51*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in six fifths of a gram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s - 45 = -0*s + 3*v, 5*s - 65 = -5*v. Let m(t) = -t**2 + 16*t - 10. Calculate the remainder when m(s) is divided by 11.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) be the first derivative of -z**2\/2 - 62*z + 3128. Let m(u) = 3*u. What is m(j(o))?\nAnswer: -3*o - 186","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4041064718.\nAnswer: 2, 23, 151, 349, 1667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1907855206?\nAnswer: 2, 1303, 732101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 28\/47438941 and -47\/159567347.\nAnswer: 1755240817","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 58619.1 decades in millennia?\nAnswer: 586.191","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find g such that 6*g**5\/11 - 2*g**4 + 2*g**3 - 2*g**2\/11 - 4*g\/11 = 0.\nAnswer: -1\/3, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) be the first derivative of -5\/3*t - 11 + 5\/3*t**2 - 5\/9*t**3. Solve v(g) = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 568956683 to the power of 1\/2, to the nearest integer?\nAnswer: 23853","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 + 14\/2 - (-156 + 151).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 75087 + -56?\nAnswer: 75031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1266708 is divided by 44.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 59 minutes before 11:10 AM?\nAnswer: 10:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1058 + -669. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 289 minutes before 2:59 PM?\nAnswer: 10:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -645576*l**6 + 26*l**4 + 726*l**2 - 108576.\nAnswer: -77469120*l**3 + 624*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l = -l. Let d be l - (-2 + 8)\/(-3). Solve -4*t + 10 + d = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + (sqrt(245)\/(sqrt(56)\/sqrt(8)))\/((sqrt(42)*-3)\/sqrt(6)).\nAnswer: -sqrt(5)\/3 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o = -5 + 11. Let b be o + -6 - (-4 - 158). Differentiate -1 - 2 - b*v**4 + 187*v**4 wrt v.\nAnswer: 116*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = -h**2 + 31*h - 165. What is r(24)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = w**2 - 10*w + 6. Calculate the lowest common multiple of 1 and t(10).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) be the first derivative of -3*j**2\/2 + 4. Let i(k) = -k**2 + 5*k. Let x(h) = 2*h. Let c(t) = -2*i(t) + 5*x(t). Determine s(c(g)).\nAnswer: -6*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-93)\/(-155))\/((-1)\/(-5)). Which is bigger: s or 42\/19?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1075 is divided by 98.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -91*n = -53*n - 88502. What is the thousands digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 2881\/4 + -728. Suppose -3*s - s + 8 = 0. Let p(w) = 12*w**2. Calculate the common denominator of d and p(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d - 19 + 23 = 0. Suppose v + 12 = 4*c + 3*v, 3*v = 3*c. Calculate the highest common factor of c and d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 212687639?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*u + 11*u + 69 = 0. Let v = -66 + u. What is the common denominator of v and -26\/11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify j**0\/j**(1\/2)*j\/(j\/j**(2\/3))*j**2 assuming j is positive.\nAnswer: j**(13\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 17*p**3 - 140296*p + 2*p**2 - 2*p**2 + 24*p**3 + 140296*p.\nAnswer: 41*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -71 = -2*f - 3. Suppose -y = -2*y + f. List the prime factors of y.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.2 times -3.9956\nAnswer: 0.79912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 36\/(-16) - -2 - (-570)\/2760?\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = p**2 - 9*p + 10. Let r be g(10). Suppose -r*n = -142 - 1698. What is the highest common factor of 138 and n?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g + 2*g + 5*b = 165, 0 = 5*g - 4*b - 237. Let a = 75 - g. What is the remainder when a is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) be the first derivative of -5*c**4\/4 - 2*c**3\/3 - 30*c + 101. What is the first derivative of z(m) wrt m?\nAnswer: -15*m**2 - 4*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 t, 1 g, and 1 v when three letters picked without replacement from utvzgvvvut?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 x, 1 w, and 1 s when three letters picked without replacement from swwxgpp?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = 35*d**2 + 433*d - 55. Calculate f(-14).\nAnswer: 743","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = 43*v - 372. Calculate i(9).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Does 2 divide 101984?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0.4 or 29\/10?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (p + 4 - 4)*(3*p + 22*p - p) + p**2 + 2*p**2 - p**2.\nAnswer: 26*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: (2\/(-16))\/((-12855)\/(-4285))\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 52.84208l in millilitres?\nAnswer: 52842.08","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 45708021841\/3678129 + -95\/1050894. Let b = g - 12426. What is the common denominator of b and -47\/42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 82, 3, 1, 0 in descending order.\nAnswer: 82, 3, 2, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -4 and -0.073?\nAnswer: 0.292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 32 + 11 + q + 28 - 11 to the form n*q + d and give d.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*m + 210 + 75. Suppose 4*p = 3*j - 4, 2*p + 0 + 2 = -4*j. Calculate the remainder when m is divided by (2\/(-4))\/(p\/30).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4487753 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + g + 1)*(2 - 14*g**2 + 2*g - 10*g**2 + g**3 + 15*g**2).\nAnswer: g**4 - 9*g**3 + 2*g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let -20*i**4 - 172*i**3 - 88*i**2 + 64*i = 0. What is i?\nAnswer: -8, -1, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = -l**3 + 7*l**2 - 6*l. Let q be v(5). Let t be (3\/(-6))\/((-3)\/36). Let w be (-7 - -4)\/((-3)\/2). Solve t*o - q = w*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -77884  (b) -2\/11  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.1, 0.5, 21, -24\/11, -6\/7 in descending order.\nAnswer: 21, 0.5, -0.1, -6\/7, -24\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -0.09  (b) 0.11  (c) -2\/7  (d) 3\/7  (e) -230  (f) -0.87  (g) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-2 - (-16)\/12)\/(4\/(-30)). Solve k - 5 = h*v, -4*k - 2*v + 18 + 2 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -52386, -104770, -157154, -209538, -261922, -314306?\n\"Answer: -52384*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 154 - -68. Suppose 0 = -3*r + 7*r - 96. What are the prime factors of (-1)\/4 + a\/r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*a = -3*a - 1683. Let d = -3232 - -3265. Calculate the greatest common divisor of a and d.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**(4\/9))**(1\/4)\/(z*(z\/(z**(1\/33)*z))\/z*z*z**(-8\/9)) assuming z is positive.\nAnswer: z**(1\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 1175322, 1175324, 1175326, 1175328, 1175330?\n\"Answer: 2*t + 1175320","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k - y = -7 - 4, 4*y = -2*k + 20. Suppose -k*m = -2*m. Suppose m = -9*p + 4*p + 335. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 276532801 to the nearest integer?\nAnswer: 16629","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 192726 a multiple of 129?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -221  (b) -37\/8  (c) 4\/7  (d) -0.2  (e) 1  (f) 3\/5  (g) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 17 a factor of 173269593?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -11 (base 3) in base 10?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -43\/21 and -38\/213.\nAnswer: 1491","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(605)\/(sqrt(11)*-1))\/(-1*sqrt(1100)).\nAnswer: sqrt(5)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = r**2 - 3*r. Suppose -2*s - 6 = -s. Let n(x) = -6*x**2 + 17*x. Let o(k) = s*n(k) - 34*u(k). Let h(j) = -j**2. Calculate h(o(v)).\nAnswer: -4*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.279094 rounded to three decimal places?\nAnswer: 0.279","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f - 2*d - 2*d = 14, -4*d = 3*f - 21. Suppose f = g + 1. What is the derivative of -g*h**4 - 5 - h**4 + 6*h**4 wrt h?\nAnswer: -4*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:15 PM and 9:06 AM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (38\/6 + -5)\/(2\/978). Suppose -3*y + q = l, -4*y + 880 = -11*l + 7*l. Is y a multiple of 66?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 54 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2?  (a) 4\/99  (b) -2\/11  (c) -0.5  (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -132*g - 416 = -20. Let b(f) = -14*f - 2. Let a(v) = -14*v - 2. What is g*b(s) + 4*a(s)?\nAnswer: -14*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -4  (b) 3\/7489  (c) 44\/27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 110145 is divided by 402.\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = 383519*d. Let i(l) = 6*l. Give a(i(o)).\nAnswer: 2301114*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(33)\/(sqrt(12)\/(sqrt(4) + sqrt(20)\/sqrt(5))) - (-2 + 1*sqrt(1584)))*4.\nAnswer: -40*sqrt(11) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 717451 is divided by 1314?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.27 + -21.27. Let c = 50 + v. Let z = c + -29.0000026. Round z to six dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 6*p + 18 - 12 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = 13*a**2 + 3. Let n(k) = 4*k**2 + 1. Suppose 16*r = 18*r - 14. What is r*n(c) - 2*s(c)?\nAnswer: 2*c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -18 (base 16) to base 3\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*m = -z + 4, -m + 12 = 5*z + 6 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -249 divided by 249?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1038502 (base 12) to base 7.\nAnswer: 35014160","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 47 at most as big as -299345?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 35201 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 49*k**4\/5 + 231*k**3\/5 + 45*k**2 - 79*k\/5 + 6\/5 = 0.\nAnswer: -3, -2, 1\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -2 + (1320 + 2)*1. Suppose 6*w + j = 2*w. Let a = -77 - w. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 700 minutes after 2:58 PM?\nAnswer: 2:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1370a (base 14) to base 15.\nAnswer: -e370","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = 3107244*u - 268. Let j be o(-3). Round j to the nearest 1000000.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 114696 is divided by 20.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 79 + 155 = 78*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in -4, -5.2, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/5?  (a) 1  (b) -833  (c) -1  (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*r**2 + 2*r**4 - 2*r**2 + 285*r + 2*r**3 - 1 - 3 - 277*r as h*r**2 + v + q*r + k*r**3 + w*r**4 and give q.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = 452*z + 44. Let h be x(-25). Let t = h - -135163\/12. Calculate the common denominator of -1 - ((-189)\/24 + 2) and t.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1969 and 37499?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 63163054.\nAnswer: 2, 271, 116537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -72 divided by 36.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5116.526kg to milligrams.\nAnswer: 5116526000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**5\/((z**(-26\/3)\/z)\/z))\/(((z*z\/z**20)\/z)\/z*z**(-15\/8)) assuming z is positive.\nAnswer: z**(901\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 2.105 + 410.895. Is d less than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = -7986*t - 49893. Calculate u(-6).\nAnswer: -1977","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 904, 1818, 2738, 3658, 4572?\nAnswer: 5474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 44 - 83. Let z(k) = 21*k - 759. Let y be z(37). Let p = y - h. Which is greater: 56 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -f - 4*t = -16, f - 1024*t + 1020*t + 16 = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 113 a factor of 3754086?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.2 + -0.13. Let o = -0.53 - -0.2. Let u = o - l. What is the smallest value in 6, u, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = 9*w**2 - 12*w + 4. Let c be v(5). Let t(u) = -9 + c*u**3 + 0 + 11*u**2 - 168*u**3 - u. Let a be t(-11). Solve -a*z = -6 + 4 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n - c = -1, 2*n + 3*c + 17 = 6*n. Suppose 3*t + n*d + 6 = 4*d, -2*t = 4*d - 12. Let i = -1\/1330 + 4001\/14630. Which is bigger: t or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 266.0046 meters?\nAnswer: 266004.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 20 (base 3) in base 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = -2*b**2 + 4*b - 3. Let o(r) = -r - 4. Let j be o(-4). Suppose 2*k = -22 + 16. Let t be j\/(8\/(-4)) - k. Give c(t).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 9799 is divided by 9743?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 1\/4  (b) 1  (c) 10093  (d) 3\/5  (e) -2\/7  (f) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 61 - 28. Suppose -5*x - j = -3. Is -2 + (-34)\/x*3 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c*c**0*c)**(10\/3)\/((c**(1\/16)*c)\/c**12) assuming c is positive.\nAnswer: c**(845\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -31683100 rounded to the nearest 1000000?\nAnswer: -32000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*f - 2*c - 7 - 135, 0 = -4*f - c + 111. Suppose 4*q - f = -4*a, a + q - 3*q - 1 = 0. Solve a*o + 0*o + 25 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 18\/(-10) - (-14 - -12)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 4\/10 - 660\/25. Let h = 18 + l. Let m(o) = -8*o + 38. What is the units digit of m(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/5, 2\/15, -0.2, -26 in increasing order.\nAnswer: -26, -0.2, 2\/15, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 15565919 is divided by 1234.\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 18 - 13. Let g(m) be the third derivative of m**6\/120 - m**5\/15 - m**4\/24 + m**2. What is the least common multiple of g(t) and 16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-68)\/((-48)\/(-42) - 1). Round o to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-2 + -2 - 2)*(-16)\/3. Suppose 3 - 67 = 4*m. Let o = m + i. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*j - 13 - 15. Suppose -2 = k, -2*k - k = 5*t - 19. Suppose 67 = 4*i - t. What is the remainder when i is divided by j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -29 divided by -135.\nAnswer: 29\/135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Does 3 divide 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.5 + 0.48. Let z = -0.08 + h. What is the closest to z in 1, -5, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 223, 186, 149, 112?\n\"Answer: -37*c + 260","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -0.1 times 3.1\nAnswer: -0.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -95993091 divided by 9\nAnswer: -10665899","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 2 + 2. Let h = x - 4.2. Sort 3, -4, h in ascending order.\nAnswer: -4, h, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6501 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 11\/2 of a tonne?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = -9*w + 264 - 443 + 255. Let p be b(10). Are p and -77\/5 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1041 (base 6) to base 15.\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 14 - 14.7. Which is smaller: w or -1\/4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 4\/(-8) + 158\/4. Suppose -2*k = -r + 11. List the prime factors of k.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 2*f*y**3 + 3*f - 168*y**3 + 4221*y**2 + 552974 wrt y.\nAnswer: 6*f*y**2 - 504*y**2 + 8442*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = 2*l**2 + 6*l + 7. Let t = 72 + -65. Suppose 0 = j + t - 5. Let p(w) = -w**2 - 2*w - 2. What is j*i(k) - 7*p(k)?\nAnswer: 3*k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -17*k - k - 180 = 12*k for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1100)\/572 + 2\/(-26)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = 11*d**2. Let i(q) be the second derivative of 17*q**4\/4 - 18*q - 28. Calculate i(b(c)).\nAnswer: 6171*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 1125, 4676, 10703, 19206, 30185?\n\"Answer: 1238*j**2 - 163*j + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 59 + (-4)\/((-2)\/(-1)). Suppose 0 = 2*j - 5*j + b. Suppose 4*m = 4*z, 4*z - m - j = -4. Solve c = -2*p - 5, 3*p - 4*c - z = 8*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -21350 at least as big as -21325?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2835912.\nAnswer: 2, 3, 118163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 37*k + 2646 = 137*k + 47*k for k.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 11 + -40638?\nAnswer: -40627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 61756445 + 40?\nAnswer: 61756505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = -r**3 + 6*r**2 - 8*r + 6. Let j be h(4). Let c be 6*(48\/(-18) - -4). Suppose m = -j + c. Solve m*q + s = -s + 8, -6 = -q - 3*s for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n**(-1\/10)\/n)\/n**2)**(-1\/5) assuming n is positive.\nAnswer: n**(31\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 6743*h - 8289 wrt h?\nAnswer: 6743","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 73 + -70 + (5 - 1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 2*2 + 0 + -2. Let z be 0 + (-6)\/(-1) - f. Suppose 0 = 4*q - 4*o - 36, o = -4*q - 3*o + 36. Solve 7 = p - 0*p + z*r, 4*p - q = 3*r for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c + 3 = -213. Suppose 2*i + 3 + 3 = 0. Calculate the remainder when c is divided by ((-7)\/4)\/(i\/24).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i**(-7)\/i)\/(i\/i**(-2\/11)*i))\/((i\/(i*i\/((i**(3\/5)*i)\/i)))\/i**(-1\/4)) assuming i is positive.\nAnswer: i**(-2207\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = -w - 1. Let j(d) = -d**2 + d + 4. Suppose 5*m - 1 = -6. Let v(b) = m*j(b) - 6*x(b). Give v(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*u - 4*i + 16 + 4, 2*u - 5*i = -25. Let y be 12 + u\/(-3 - -2). What is the highest common divisor of y and 108?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -99\/52 and -53\/22?\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = g**3 - 17*g**2 - g + 41. Determine b(17).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-9)\/(216\/424)*54. Calculate the common denominator of v\/(-770) + (-18)\/21 and 51\/20.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1064159 divided by -2.\nAnswer: 1064159\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = 77*v + 45. List the prime factors of w(4).\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 82 + -86 - (1 + (1 - (2 - 6)))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 740242298 to the nearest integer?\nAnswer: 905","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Does 50 divide 27800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express 5*j + 40*j**2 - 51*j**2 + 28*j**3 - 25*j**3 + 10*j**2 + j**4 - 6 as k*j**4 + u*j + i*j**2 + x + c*j**3 and give x.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 55*k - 223*k - 34*k.\nAnswer: -202*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2475 = -12*x + 9*x. Let s = -268 - x. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = -p**4 + 2*p**2 - 2*p. Let o(r) = -16*r**4 - 20*r**3 + 12*r**2 + 12*r + 8. Let x(h) = 4*i(h) - o(h). Factor x(s).\nAnswer: 4*(s - 1)*(s + 1)**2*(3*s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*m**2 - 3*m**2 + 3*m**2 - m**3 in the form r*m**3 + f*m**2 + w*m + x and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, -5, -3, -1681 in descending order.\nAnswer: 5, -3, -5, -1681","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -309254\/5 + 62377. Let p = n + -84437\/160. Calculate the common denominator of p and (-15)\/(-8)*(-1 + -5).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 22 - (-1)\/(((-104)\/(-13))\/(-176))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 101*1065.\nAnswer: 107565","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = t - 3. Let s be f(4). Let k(r) be the first derivative of r**3\/3 + 9*r**2\/2 - 8*r + 4. Let y be k(-10). Sort y, s, -1 in descending order.\nAnswer: y, s, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k**5 - 256*k**4 - 6100*k**3 - 65320*k**2 - 283696*k - 224224 = 0. Calculate k.\nAnswer: -22, -14, -13, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-12177)\/(-21) + (-1)\/(-7). What is z rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 24 and 3402.\nAnswer: 13608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -51151.444 rounded to the nearest ten?\nAnswer: -51150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 380\/90 + (-4)\/18. Suppose 7*w = -3*p + z*w - 9, 2*p = 5*w + 8. Which is the nearest to 7\/8?  (a) -0.3  (b) -0.2  (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 3 by 20499.\nAnswer: 1\/6833","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = -5*z + 7. Let w(a) = -a**3 - 13*a**2 - 19*a + 23. Let c be w(-11). What is the tens digit of l(c)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or -710?\nAnswer: -710","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 138283 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = -117054*t - 4. Let n(z) = -3*z. What is q(n(r))?\nAnswer: 351162*r - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -0.1632 times -10\nAnswer: 1.632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 541*d - 539*d = 0, -4*c - 5*d = -44 for c.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (27 + 52 + 3)*(-3*u**3 + 2*u**3 + 0*u**3) + 2*u**2 - 4*u**3 + 3*u**3 - 2*u**3.\nAnswer: -85*u**3 + 2*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 7\/8 of a microgram?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xg when two letters picked without replacement from ogxxomgxxxoxxoooxxsx?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence nvzv when four letters picked without replacement from {n: 4, z: 1, v: 6}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 59?  (a) -0.5  (b) 0.06  (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Determine a, given that -a**5 + 3479*a**4 - 2996116*a**3 - 51789772*a**2 - 134344288*a - 85554112 = 0.\nAnswer: -14, -2, -1, 1748","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = -f**2 + 9*f - 12. Let r be b(7). Suppose -2*h + 4*l + 20 = 0, -6*h = -r*h + l - 76. Let u be (h\/(-45))\/((-6)\/35). Is u smaller than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2 + 3 + 0)*(3*w - 2*w - 2*w)*(1 - 1 + 1 + (0 + 10 - 3)*(0 + 1 + 0) + 2 + 0 + 0 - 5 + 3 - 1) in the form o*w + n and give o.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 5 - (20\/70 - 36\/(-21)). Suppose m*s - 2*w = 97 - 31, 0 = s + 5*w - 22. Solve t + 4*d = -s, 0 = -5*d + d - 20 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u = 8 + 1. Let m = 40 - -3. Let i = m - 50. What is the nearest to 1 in u, -0.4, i?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = -8*g - 21. Suppose 0 = 4*t - n + 47, -13 = t - 7*n + 8*n. Is 3 a factor of k(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -139 + 416\/3. Which is the fourth smallest value?  (a) 2\/9  (b) v  (c) -6\/7  (d) 5\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 11370 to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 1 + 0)*(0 - 8*f + 0) + 3 - f - 3.\nAnswer: 15*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 90343 is divided by 22585?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 4\/(-60)*-6 + 894\/1140 and 43\/8.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j + 6 + 6 = 0. Let o = -85 + 84. Suppose -10 = 2*h - 0*h, 5*h = -5*f - 15. Sort j, o, f.\nAnswer: j, o, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 472879 is divided by 236436?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*b**3 + 414*b**2 + 9147*b - 31086.\nAnswer: -3*(b - 157)*(b - 3)*(b + 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from vvvwovsvvosvvx. Give prob of sequence ovv.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 5.85 and 2.\nAnswer: 11.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (175 + 453 + 201)*(-3*w**2 - 2*w**4 + 3*w**2) to f*w**3 + j*w + d*w**4 + l + r*w**2 and give d.\nAnswer: -1658","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1087244 times -3.17?\nAnswer: -0.344656348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0.4  (b) -0.4  (c) -1\/44\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 3 - -110. Is x a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = -o**3 + 7*o**2 - 7*o + 8. Let r be g(6). Let z be 6\/9 + (-7)\/(-3). Suppose 18 = m - 5*h, 0 = z*m + 5*h - r + 8. Solve 1 - 13 = m*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = 3*u**2 - 3*u - 522. Let f(h) = 1703*h - 4. Determine l(f(w)).\nAnswer: 8700627*w**2 - 45981*w - 462","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -864, -862, -858, -852, -844, -834?\nAnswer: -822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = -20*p**2 - 3*p + 2. Let c be x(-2). Let a = 104 + c. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -38630, -77739, -116848, -155957, -195066?\n\"Answer: -39109*b + 479","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (6800\/(-360) - -19)\/((-4)\/6). What is the closest to z in -5, 9, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -3 - (6\/(-3) - -23). Let q = 40 + v. What is the remainder when 63 is divided by q?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m - 6 = -t, 2*t - 2 = -0*t - 2*m. Suppose -t*n = -0*n - 24. What is the greatest common factor of n and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millennia are there in 0.2184405 years?\nAnswer: 0.0002184405","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -5 - -2 - ((0 - 31) + (-168 - -164))\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -103*a - 40 = -111*a. Let w(l) = 7*l**2 - 3*l**3 - 4*l + 2*l**3 + 2*l**3 - 3 - 11*l**2. Calculate w(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = -3*i**2 + 125*i + 118. Give l(-1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = a**3 + 26*a**2 + 24*a - 22. Let w be k(-25). Solve w*u - 22 + 7 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = -32*q - 25. List the prime factors of w(-5).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:55 PM and 2:01 AM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*b - 1 = 20, 2*l + b - 2*b + 5*b = 26 - 44 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = g - 180*g**2 - g + 181*g**2. Let k(y) = -6*y**2 + y - 1. Calculate -2*k(v) - 14*u(v).\nAnswer: -2*v**2 - 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 4 + 4)*(118 + 55 - 62)*(y + 2*y - 4*y).\nAnswer: -333*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) be the first derivative of -2*r**3\/3 - 6*r + 548. Let a(o) = o**2 + 2. Let h = -22 - -14. Determine h*a(i) - 3*f(i).\nAnswer: -2*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 167\/84 and 4\/27.\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 2.23 - 2.2. Let r = o - -0.17. Let p = 4.62 - -0.38. Sort p, r, 1 in increasing order.\nAnswer: r, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find a, given that a**3 - 62134*a**2 + 1925193*a = 0.\nAnswer: 0, 31, 62103","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k = -2*i + 52, i + 2*k = -i + 64. What is the highest common divisor of 49 and i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zpyq when four letters picked without replacement from {q: 4, p: 2, y: 2, z: 2}.\nAnswer: 2\/315","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 26 + 30 + -96 + 44\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {n: 2, p: 3}. Give prob of picking 1 n and 1 p.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is (-18656)\/1352560 - (-12178)\/(-145)?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 980a - 2?\nAnswer: 9808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 701.32 * -1\nAnswer: -701.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*h**2 - 4*h**4 - 2*h**4 + 5*h**2 + 5*h**4 - 3 + h as g*h**2 + l + r*h**3 + k*h**4 + x*h and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2 - -5) + 2 + -1 - 6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = -i**3 - 11*i**2 - 19*i + 3. Calculate s(-8).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-11)\/(-1) + (5 - 4)\/1. Solve 0*o - b = 4*o - 2*f, 2*o + 6 = -3*f for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 378 + -383. Sort d, 1\/3, 5, -17.\nAnswer: -17, d, 1\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11907072409 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1209028582?\nAnswer: 2, 31, 41, 475621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 99 - 547. Let d = n - -448.13. Does -2 = d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:28 AM and 12:02 PM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1653435?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify k*(k*k**0*k*k)\/k*k*k\/k**(3\/4)*((k*k**(1\/2)*k*k*k)\/k)**(-38) assuming k is positive.\nAnswer: k**(-515\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 356 - -73. Calculate the common denominator of 19\/20 and (7 - 4) + y\/(-54).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = 3*u**2 - 3*u + 4. Let h be q(1). Let r(t) = -4 - 9*t - t**2 - h - 11 + 9. What is r(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -356 + -49\nAnswer: -405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert 66.64859 kilograms to milligrams.\nAnswer: 66648590","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 18\/5 of a tonne in kilograms?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -q + 2*d = -10, 0 = -12431*q + 12564*q + 4*d - 1330 for q.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth smallest value?  (a) -20\/11  (b) 3  (c) -6  (d) -0.4  (e) 19\/17  (f) 0.2  (g) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -273757*u**3 - 36395?\nAnswer: -821271*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -0.289  (b) -2\/11  (c) -10  (d) -47\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 495725 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 92973775193 from 0.04.\nAnswer: -92973775192.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 22 + -12. Let d(t) be the second derivative of t**4\/12 - 4*t**3\/3 - 4*t**2 + 4*t. What is the units digit of d(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*h + 2*h - 2*h)*(h**2 + 5*h**2 - 4*h**2) - 3*h**3 + 3*h**3 - 3*h**3 - 182 + 182 - 6*h**3.\nAnswer: -5*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from eeuuguejgegueeggeggg. What is prob of picking 2 e and 1 j?\nAnswer: 7\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13*q**3\/7 + 121*q**2\/7 + 1794*q\/7 + 4320\/7 = 0.\nAnswer: -5, -48\/13, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 9570 and 83820150?\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 115, 0, -4, 4, 1 in ascending order.\nAnswer: -4, 0, 1, 4, 115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n = -5*y + 94019, -5*y - 150396 = -5*n + 6329. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = -79*g**3 - g**2 - g - 1. Let u(n) = 78*n**3 + 2*n**2 + 2*n + 2. Let z(h) = 2*u(h) + 3*v(h). What are the prime factors of z(-1)?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (t - 3*t + 4*t - 2)*(10*t + 2*t - t).\nAnswer: 22*t**2 - 22*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = o**3 + 13*o**2 + o + 21. Calculate n(-13).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 70452612 less than -40.33?\nAnswer: -70452652.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*i - n - 157, -n - 77 + 26 = -i. What is the remainder when 158 is divided by i?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 150638 is divided by 97.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 18615.\nAnswer: 3, 5, 17, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 0.1 + -2402\nAnswer: -2401.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = 3*h**3 - 18*h**2 + 185*h - 1122. Determine r(6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qqq when three letters picked without replacement from {q: 3, e: 3}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z**(4\/5)\/(z*(z*z\/(z*z*z\/(z\/(z\/(z\/(z*z**(2\/21)*z*z))))))\/z))**(-1\/19))**(-5\/6) assuming z is positive.\nAnswer: z**(409\/2394)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = 3*q**2 - 45*q + 63. Let p be o(17). Let g = 598 - p. List the prime factors of g.\nAnswer: 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -20*t = -120 - 40 for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1094718174 and 3597.\nAnswer: 3597","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -4.08998628 + 4.09. What is m rounded to 6 decimal places?\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -2995 + 2993. Put h, -0.08, 26, -4 in decreasing order.\nAnswer: 26, -0.08, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q + 4*q - 2 = 0. Let c be q\/(-3) - (-186)\/18. Suppose 0 = 5*h - 15 - c. Solve 0 = -d + h*d + 4 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -25857949.05944 + 25856229. Let c = -1720 - h. Let u = 0.06 - c. Round u to 4 decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 30004562, 30004620, 30004678?\n\"Answer: 58*a + 30004504","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 33, 212, 511, 936, 1493, 2188, 3027?\nAnswer: 4016","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = t**3 - t - 1. Let j(r) = r**2 + 23*r - 22. Let k be j(-24). Let c be f(k). Solve -4*q = -5*q - 4*l - 17, -l - 20 = -c*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 665324 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = -n**2 + n + 4. Let j(v) = -6*v**2 + 7*v - 1320. What is -7*f(q) + j(q)?\nAnswer: q**2 - 1348","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 112 a factor of 4057200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -3307, -3321, -3329, -3319, -3279, -3197?\nAnswer: -3061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 32 + 3122?\nAnswer: 3220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -4.89 in -3\/4, -0.3, 0.2?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -6*a**3*b*v - 2*a**3*b - 2*a**3*v - 92*a*b - a*v + 4*b*v - 24 wrt v?\nAnswer: -6*a**3*b - 2*a**3 - a + 4*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) be the second derivative of -1\/6*v**3 + 0 + 0*v**4 + 7*v**2 + 1\/20*v**5 - 2*v. What are the prime factors of b(0)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 102457278 < 102457270?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -25 + 0 = -7*y - 2*r, -3*y + 2*r + 5 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.17645 + 0.07645. Let b = -12 - -17. What is the third smallest value in b, 4, h?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 1.5, 0.1, -8, -4, -4\/77?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 38092 and 13172.\nAnswer: 356","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 30.457 - 729946\nAnswer: -729915.543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 744019 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from xlgxmtxxmgyxt. What is prob of picking 1 t and 2 x?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 4186\/117161 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 25\/2 of a litre in millilitres?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 166, 781, 2030, 4099, 7174, 11441, 17086, 24295?\nAnswer: 33254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 3\/10 of a decade?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*h + 8*h**3 - 5 + 4 + 1 - 1 to s*h**3 + j*h + g*h**2 + t and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -0.91 - 6353\nAnswer: -6353.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6350.\nAnswer: 2, 5, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 divided by -1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-26)\/3)\/(((-6)\/51)\/((-15)\/85))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -828, -891, -964, -1047, -1140?\n\"Answer: -5*w**2 - 48*w - 775","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 19, 186, -7 in ascending order.\nAnswer: -7, 19, 186","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 514*z - 4 + 464*z + 495*z + 397*z + 4 - 1703*z.\nAnswer: 167*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = w - 13. Let m be g(11). Let f be (1 + -5 - -2)\/(1*m). Is 3 less than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*(sqrt(114) + (sqrt(114) - sqrt(114)*1)))\/((sqrt(6) + sqrt(864)*-2 + sqrt(6) + sqrt(6) - sqrt(6)) + sqrt(6)).\nAnswer: 5*sqrt(19)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-300)\/4*19202\/(-6). Let c be (-2)\/(-6) - (y\/15)\/5. What is c rounded to the nearest one hundred?\nAnswer: -3200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8*a - 2*a + 13*a + 3*a**2 - 3*a.\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5446?\nAnswer: 2, 7, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = 5*u**2 - 13197*u + 3 - 13191*u + 26391*u. Let t(y) = 4*y**2 + 3*y + 2. What is 2*f(z) - 3*t(z)?\nAnswer: -2*z**2 - 3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from xjjslbbg. Give prob of sequence gjb.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -442.96 + 443. Let v = -1.96 - x. Let q = 7 + -3. Which is the nearest to 0.1?  (a) q  (b) v  (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = l**3 - 8*l + 20. What is d(2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -2 - -27. What is the remainder when 97 is divided by s?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 25 + (-48 - 18) + 7.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 4  (b) -5  (c) -7  (d) -22\/703\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = -8*o + 3*o. Let r be (12\/(-5))\/(1\/15). Let k be (-2)\/(-2) - r\/(-30). Is o bigger than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.39, 2, -0.2, -3, 13 in ascending order.\nAnswer: -3, -0.39, -0.2, 2, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express -2 + 2 + j + (-2*j - 3 + 3)*(0 + 1 + 0) + 4*j + 7*j - 3*j + 5*j - 2*j - 2*j as w*j + v and give w.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q + 816 = -q - 5*b, -2*b + 560 = 2*q. Let c = 396 - q. What are the prime factors of c?\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2\/1587 at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -1\/4, 50, 6 in increasing order.\nAnswer: -1\/4, 3, 6, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 350 and 2037350?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(112) + -1 + (2*sqrt(112) + sqrt(112) - sqrt(112)) + 3)*3 + (1*sqrt(77)*5)\/(sqrt(110)\/(3*sqrt(10))))**2.\nAnswer: 612*sqrt(7) + 18243","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 866 - 851. What is the second derivative of q*i - 19 - 14*i**5 - 245*i**5 + 21 wrt i?\nAnswer: -5180*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 78657155 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5368384 divided by 16.\nAnswer: -335524","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let -66*k**5\/7 - 2180*k**4\/7 - 6204*k**3\/7 - 6192*k**2\/7 - 2162*k\/7 - 60\/7 = 0. What is k?\nAnswer: -30, -1, -1\/33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = -1973*y**2 - 2*y + 2. Let c(v) = 21474129*v**2 + 21769*v - 21769. Give 2*c(q) + 21769*o(q).\nAnswer: -1979*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 42\/2752 - (1190\/(-301) - -4). What is the fourth biggest value in 2, -2\/13, u, -0.5, 2\/5?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = 3*m. Let v(x) be the first derivative of 11*x**2\/2 - 4. What is f(v(j))?\nAnswer: 33*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((6*(1 + sqrt(125) - sqrt(125)) - (sqrt(245)*1 - (0 + sqrt(80))))*-3)**2.\nAnswer: -324*sqrt(5) + 729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -6735270 - 33014730. What is q rounded to the nearest 1000000?\nAnswer: -40000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 145943290 to the nearest integer?\nAnswer: 526","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u = 3*c - 3 + 9, -u + 2 = -3*c. Let v(j) = -2 + j**3 - 2*j - 6 + 3 + 5*j**2 - j**u. Let g be v(-4). Solve -g*l + l - 10 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 51\/22 and ((-3)\/(-28))\/((-2)\/(-776)*-6).\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -11.048 + 11. Let z = q - -0.14. Let r = -3.992 + z. Round r to the nearest integer.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = -19 + 830*q + 794*q - 1614*q. What is w(5)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 29, 20, 21, 38, 77?\n\"Answer: w**3 - w**2 - 13*w + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -22 + 22. Suppose y = 3*o + o - 8, 3*o = 5*h - 14. Which is the closest to -1\/4?  (a) h  (b) -0.02  (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = z + 5. Let v be 3\/3 + -2 + -5. Let n be j(v). Put -5, -4, n in decreasing order.\nAnswer: n, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add -90 and 161.\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.07 - 21.93. Let t = w + 20. Let l = -3 + 2.7. What is the smallest value in l, t, -6\/5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*a = 6*a - 30. Solve 0 = -a*m + m + 16 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -3*1 + (-1 - (-3 - 1)). Suppose x*f - 3*f + 9 = 0. Suppose -4*n = -2*h - 462, -f*h = -7*n + 3*n + 467. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) be the third derivative of i**4\/24 + i**3\/6 - 4*i**2. Let d be l(3). Let x = -30 - -28. Sort x, d, -4 in increasing order.\nAnswer: -4, x, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-2 + 27\/6)*2. Suppose -2*d + 13 = 4*x + o, -3*d - 15 = -3*x. Solve u = 6*u + 2*h + 35, 5*h + 10 = x*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine a, given that 2*a**5\/3 + 2*a**4\/3 - 4*a**3 + 4*a**2\/3 + 10*a\/3 - 2 = 0.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1219052 is divided by 187?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = -3149*q**2 - 201. Let r(b) = 63*b**2 + 4. What is 4*g(p) + 201*r(p)?\nAnswer: 67*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 13 - 7 - 5*1. Do 18\/11 and o have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*p**3\/5 - 312*p**2 + 167994*p\/5 - 4896836\/5.\nAnswer: 2*(p - 658)*(p - 61)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m = -0*m + 8, 3*x - 18 = -3*m. Suppose 0 = 5*j - 2*a - 91, -12 = x*j + 5*a - 65. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d = d + 5. Let g(b) = 0*b + b - d - 4*b + 0*b. List the prime factors of g(-6).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 29225 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = 3*n. Let d(g) = -67202*g. Give d(v(o)).\nAnswer: -201606*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = 27*k - 6. Let n be f(5). Let q = n - 75. Does 7 divide 1 + (q - (4 - 7))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 101051 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n - 272 = -2*p + p, 3*p = 2*n + 836. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -36*r - 82 = -190. Let g(f) be the first derivative of 0*f**r + 0*f + 9\/5*f**5 + 6*f**2 + 0*f**4 - 1. Find the second derivative of g(s) wrt s.\nAnswer: 108*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*v - 5*p - 2 = -3*v, 3*v = 2*p + 8. Let z(i) = 5*i**2 - 3*i**2 - v*i**2. Let t(s) = 3*s**2 - s**2 - s**2. Calculate t(z(y)).\nAnswer: 4*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = -c**2 + 154*c. Let u(w) = -4*w. What is u(j(f))?\nAnswer: 4*f**2 - 616*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 1576903 a multiple of 851?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 528 and 7056?\nAnswer: 77616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 8 and 488.\nAnswer: 488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*d**2 - 43607*d**3 + 87946*d**3 - 43804*d**3)*(-3 - 1 + 3).\nAnswer: -535*d**3 + 2*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -3 in 69, 5547, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = -y**3 - 18*y**2 - 38*y - 17. Is k(-20) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -46*u - 45*u - 14 + 90*u + (0*u - 3*u + u)*(1 + 2 - 4).\nAnswer: u - 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -107\/84 and -14 - ((-1281)\/54 - -15).\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2a78 (base 13) to base 14\nAnswer: -2379","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (84\/6)\/(-84)*6?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*i + 12 = 47 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 1361151613 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2876 is divided by 138.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/8?  (a) 4  (b) 1\/11771  (c) 0.05  (d) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -491765883*a**5 - 347652092*a.\nAnswer: -9835317660*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 9334449463 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ymmcckyqcqqjqqmqmk. What is prob of sequence cq?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*o - 144 = -18*o. Let a(j) = j**2 + 3*j - 4. Let p be a(-4). Suppose 3*s + 2*s = p. Solve -3*f - 11 = 2*m, -4*m - o = -s*m for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is one twentieth of a meter in millimeters?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = 41*x + 1. Give n(-1).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v + 5*q + 18 = -3*v, 2*q = -8. Suppose -5*a + 30 = -v*a. What is the highest common divisor of a and 80?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 24 + -17. Let f(q) = q**2 - 7*q. Let g be f(a). Suppose r + r = g. Solve 0 = i - r*i + 5 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -97\/55720 and 53\/20895.\nAnswer: 167160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -121 + 109 = -3*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = -3*p**2. Let a(h) = 6*h + 7. Let n(c) = -3*c - 3. Let t(j) = 6*a(j) + 14*n(j). What is t(s(g))?\nAnswer: 18*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 709.9024 - -0.0976. Let f = p - 709.9431. Round f to 2 dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -8 in 3, 1, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5 - 522*o**2 + 534*o**2 - 1 + 2.\nAnswer: 12*o**2 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 139592996 is divided by 775.\nAnswer: 771","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1766*s + 590*s + 584*s + 591*s.\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -4316, -4371, -4402, -4397, -4344, -4231, -4046?\n\"Answer: 2*t**3 - 69*t - 4249","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -17 - -22. Suppose 3*h + 2*h - 25 = -n, 2*n + l*h - 50 = 0. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ogtqooqqgx. What is prob of sequence gqx?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 165 + -270. Let d = 953 - 405. Let n = d + u. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-2)\/10*(1\/(-1))\/(215\/(-215))\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 805793?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) be the third derivative of -4*v**4 - 11\/2*v**3 - 1\/5*v**6 + 1\/70*v**7 - 29*v**2 + 0 + 0*v - 3\/2*v**5. Factor t(q).\nAnswer: 3*(q - 11)*(q + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = 5*s - 4. Suppose 0 = 5*b - s*q + 5, -24 = -4*b + 3*q - 7*q. Suppose -b = -4*h - 5*k - 13, -4*h - 2*k - 12 = 0. Put 3, h, 0 in decreasing order.\nAnswer: 3, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*k + 34971 = -12*k. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j - w = -3*j + 27, j + w - 3 = 0. Suppose s + 3 = j. Suppose -4 = -5*v - z + 2*z, -s*v = -5*z + 2. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 6092739*g**3 - 379191*g**2?\nAnswer: 36556434","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -21 + 23. What is the smallest common multiple of 4 and o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in nine sixteenths of a centimeter?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 63 divide 5707?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/4?  (a) -1  (b) 0.16  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 47cb9 (base 16) in base 8?\nAnswer: 1076271","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 730474, 1460880, 2191280, 2921674, 3652062, 4382444, 5112820?\nAnswer: 5843190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 16625153953 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find m such that -4*m**5 - 2104*m**4 - 22676*m**3 - 8000*m**2 + 123600*m = 0.\nAnswer: -515, -10, -3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15 = -3*z - 5*p, 3*z + 12*p = 16*p - 12 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 26777210.\nAnswer: 2, 5, 17, 157513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -339 - -707. Suppose -i = -5*c - 3*p - 132, -3*c = 3*p - 138. Is c a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from vvvkkvgvvkvvvvkvkvvv. What is prob of picking 2 v?\nAnswer: 91\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = -35*z + 493. Let h be b(14). Sort 26, 1, 5, h.\nAnswer: 1, h, 5, 26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (180\/24)\/((-1815)\/(-44))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -4 + a1?\nAnswer: 9a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.61 + -0.21. Suppose 3*f - 3 + 12 = 0. Let l be (f\/(-6))\/(3\/(-4)). Which is the closest to 1\/4?  (a) d  (b) l  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -311, -621, -929, -1235, -1539?\nAnswer: -1841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p**5\/9 - 34*p**4\/9 + 14*p**3 + 18*p**2 = 0. What is p?\nAnswer: -1, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0088518 to three decimal places.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -114 and -71.0772?\nAnswer: 8102.8008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert -10100100100 (base 2) to base 5.\nAnswer: -20231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence tp when two letters picked without replacement from tptttfotooft?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -31*k + 33*k + r = -3, -2*k - 1 = 3*r for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-10)\/(-4) + 7\/14. Put -9, i, 4 in increasing order.\nAnswer: -9, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -31 = -5*n - 11 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express 0 + 5*i**2 - 2 + 6*i**3 - 4*i**3 - 12*i**2 in the form n*i**3 + d + m*i**2 + x*i and give m.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -2, -3, -0.4136, 3, 0.66, -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -3 + 3. Let y be i\/((-9)\/(-6)*-2). Suppose -6 + 18 = -4*l + 4*j, -3*l = 4*j - 26. Sort 4, y, l in ascending order.\nAnswer: y, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = -x + 3. Let i be u(6). Let k be ((-452)\/(-6))\/((-2)\/i). Suppose 2*f - f = k. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(171) - -2*(sqrt(171) + sqrt(171)*1)) + sqrt(171) - (sqrt(171) + 2*sqrt(171)*2))\/(-4*sqrt(72)\/sqrt(648)).\nAnswer: -9*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i - 4 = 2. Solve i*h - 5 = -2 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -22\/7, 1, 2\/3 in increasing order.\nAnswer: -22\/7, 2\/3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -117, -261, -405, -549, -693, -837?\nAnswer: -981","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = -79*b + 1020. What is q(13)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 34.43 + -34. Let h = j + -0.93. Sort 4, 3, h.\nAnswer: h, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 30565 or 30563?\nAnswer: 30563","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = u**3 + u**2 + 2*u - 1. Let t(h) = -2*h**3 - 3*h**2 - 4*h + 2. Let i(s) = 11*q(s) + 6*t(s). Is i(-7) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -163\/23250 and -137\/510.\nAnswer: 395250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 0.1, 1\/34, -2, -1\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b = 2*b + z + 2, 0 = -4*b - 5*z - 5. Put 2, 4, b, 3 in increasing order.\nAnswer: b, 2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + sqrt(7))*-6 + -2.\nAnswer: -6*sqrt(7) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 3 - -14412404?\nAnswer: 14412412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let -3*x**2 + 1922286*x - 307931955483 = 0. Calculate x.\nAnswer: 320381","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1602774625 + -169890454803\/106. Let j = -83684 + 118169. Let n = j - x. Find the common denominator of -69\/8 and n.\nAnswer: 424","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 6\/9 - 204\/9. Let y be v\/(-84) + 3\/(-7). Put y, 1\/3, -0.1 in increasing order.\nAnswer: y, -0.1, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s - 5*q + 512 = 0, 2*s - 256 = -4*q + 7*q. Is s a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -575, -574, -573, -572?\n\"Answer: k - 576","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 119130 is divided by 731.\nAnswer: 708","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: ((-1)\/2*1)\/(32\/(-384))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 3 + -3.25. Let f = -0.24922 - k. What is f rounded to 4 dps?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) be the first derivative of k**3\/3 + 35*k**2\/2 + 567. Let g(c) = -26*c. Give g(w(l)).\nAnswer: -26*l**2 - 910*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Divide -4036 by -76.\nAnswer: 1009\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = -152*s - 2. Let l be b(-1). Suppose 5*m - l = -0*m. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 30 divide 160500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l = -2*t - 6, -3*t - 3*l + 18 = -0*t. Suppose 3*s + 18 = t*o, 3*o - 2*o + 5*s + 12 = 0. What are the prime factors of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i = 5*y - 3 - 17, 2*y + 48 = 4*i. What is the smallest common multiple of 6 and i?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5846.673km to nanometers.\nAnswer: 5846673000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = -2832*j - 584. Let g be b(-22). Round g to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -1958, -7169, -15854, -28013, -43646, -62753?\n\"Answer: -1737*j**2 - 221","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -131 + (-9 - -55) - -39?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:45 AM and 2:38 AM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 1\/3, -5, 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = 22*p - 21. Give b(0).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*m + 14*o - 9*o - 22, 4*o = -5*m + 55. Solve -5*l = -3*i + 40, -m*i + 8*i - 10 = 5*l for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 18 + -36 + -7 + 6?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1020 and 240?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 0\/((-1)\/(-2)*-2). Suppose s = -6*z + z + 10. Let b be (8\/(-3))\/z*-3. Solve -b*k + 5*k = 2 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add -39.4 and 117.\nAnswer: 77.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 840 and 301175?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) be the third derivative of 7*n**4\/24 - n**3\/2 + 35*n**2. Let q = 11 - 4. Let r be (9 - q) + -13*1. Let g(k) = -13*k + 5. Calculate r*c(x) - 6*g(x).\nAnswer: x + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is seven eighths of a kilometer in centimeters?\nAnswer: 87500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = -u + 24. Suppose 280 = -u*a + 25*a. List the prime factors of a.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1 or -1\/2518?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-4 + 5 - 3)*(-1 - 6 + 3) - 1 - 3 + 2 + (0 - 3 + 4)*(5 - 2 - 2))*(-4*r - 4*r + 3*r).\nAnswer: -35*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {o: 9, q: 7}. Give prob of picking 3 o and 1 q.\nAnswer: 21\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 26.0958 - -0.0042. Let q = p - 26. Which is the nearest to q?  (a) 0.001  (b) 4  (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is fourty-two fifths of a litre in millilitres?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 4244447 take away -0.323?\nAnswer: 4244447.323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -13*w - 7*w + 2061 + 41*w - 14*w - 8*w.\nAnswer: -w + 2061","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 241293 is divided by 95.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = -8*z**2 - 389*z + 149. Let m be c(-49). Factor 3\/2*a + 0 - 3\/4*a**m.\nAnswer: -3*a*(a - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (255 - 254)*(-5)\/9?\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (3\/(-2))\/((-27)\/(-36)). Let k(l) = l**3 + 3*l**2 + 2*l + 3. What is k(x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*k + 8*k = 0. Solve -b - b - 8 = 3*d, k = -4*b + 8 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 123445 (base 9) to base 4.\nAnswer: 102033203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 35237, 35231, 35229, 35237, 35261, 35307?\nAnswer: 35381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -0.002 or -324.7?\nAnswer: -324.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) be the first derivative of -5*f**3\/3 + 5*f + 16. Let c(l) = 2*l**2 - 2. What is 8*c(m) + 3*w(m)?\nAnswer: m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = -2*p - 10. Let h(w) = 2*w - 8. Let s be h(0). What is the units digit of b(s)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 6\/2 - (2 + -15). Suppose m - o = -4. Calculate the highest common factor of 60 and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 3 + 1)*(-7*f**2 + 3*f**2 + 2*f**2) + 35*f**2 - 124*f**2 - 27*f**2 + 2.\nAnswer: -112*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 162 - 160. Let k(o) be the first derivative of -9\/11*o**h + 8\/33*o**3 + 14 + 4\/11*o. Suppose k(x) = 0. Calculate x.\nAnswer: 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from seqho. Give prob of sequence oohs.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1 or -10\/304047891?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:59 AM and 12:51 PM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 17480 divided by -4370\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = -2*m + 1. Let b = m - 0. Find the second derivative of 2*f**2 - 4*f**2 - b*f + 0*f wrt f.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 101 + -85. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1160172*i - 1160169*i = 5*j - 66, 3*j + 2*i = 32 for j.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2 + 1 - 1 - 149716*o.\nAnswer: -149716*o + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 454 minutes before 4:16 PM?\nAnswer: 8:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 98643.39541 - 98644. Let z = -0.602 - p. Round z to three dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand h**3 - 4*h**3 + 5*h**3 + (-2 + 2 + 2*h)*(-2*h - 2*h**2 + 2*h) + (-5*h**2 - 2 + 2)*(0*h + 0*h - 2*h) + 465*h - 465*h + 23*h**3 - 2*h**3 + 6 - 5 + 0*h**3.\nAnswer: 29*h**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 23533 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-9220)\/(-6454))\/(1\/21).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2\/5)\/(42\/10 + -4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -0.8  (b) -0.4  (c) -44  (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -10*b**2 - b*f*n + 7*b*n + 2*f*n - 103*f wrt b.\nAnswer: -20*b - f*n + 7*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 880610.\nAnswer: 2, 5, 107, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 661192?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*x + 6*n + 10 - 0, -5*x + 10 = -n + 2*n + 23 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -3011054 take away -0.5?\nAnswer: -3011053.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -7 + 3 + 9 - 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 23.18998381 - 23.19. Round b to six dps.\nAnswer: -0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = 54*x**2 + 14*x. Let g(r) = 11*r**2 + 3*r. Let m(q) = q**3 + 29*q**2 - 10*q - 3. Let c be m(-29). Let v = c - 301. Give v*g(h) + 3*o(h).\nAnswer: 8*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3*c + 4*c + c + (3*c - 5*c + 4*c)*(1 + 0 + 7))*(3 + 2*c - 3) to the form h + q*c + p*c**2 and give p.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6200 is divided by 3072?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 295 minutes before 6:55 AM?\nAnswer: 2:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = -b**4 - b**3 - b**2 - b - 1. Let o(z) = 10*z**4 + 4*z**3 + 11*z**2 + 4*z + 4. Let g(h) = 4*f(h) + o(h). Find the third derivative of g(t) wrt t.\nAnswer: 144*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -9*y + 11*y - 184. Let j = y - 8. Let d = j - 8. List the prime factors of d.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -15\/77 or 1?\nAnswer: -15\/77","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -32453404 divided by 1.\nAnswer: -32453404","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1.7 + 0.3. Let d = -1070 - -1063.6. Let t = u - d. Round t to 0 decimal places.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.3?  (a) -4  (b) -11  (c) 15  (d) -3\/7  (e) -3  (f) 24\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*g - 11 = 1 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 63*w - 2*w**2 + 188*w + 225*w.\nAnswer: -2*w**2 + 476*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {l: 1, o: 11}. Give prob of picking 3 o.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = 10 + 7*o - 2*o**2 + 3*o + 0*o. Let x be m(6). Which is the third smallest value?  (a) x  (b) 4  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 77 (base 9) to base 2\nAnswer: 1000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 17, 23, 17, -7, -55, -133, -247?\n\"Answer: -r**3 + 13*r + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -28816 and 29.226?\nAnswer: -842176.416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -846223, -846224, -846225, -846226?\nAnswer: -846227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = -4*k - 37. Let v be f(-9). Let s be -1*-4*(v + 0)\/(-1). Suppose s*i - 225 = i. Calculate the highest common factor of i and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 31*p - 26*p - 8*p - 67*p to j + y*p and give y.\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -474*f + 12 = -469*f + h, -33 = -5*f - 4*h. Solve 8 = g + f for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**(-13)*x*(x**12*x)\/x)**(-25\/3)*x**(-4\/7)\/x**(-6)*x*x**0*x*x**(-3\/7) assuming x is positive.\nAnswer: x**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 739789 or 739787?\nAnswer: 739789","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 81*1622.\nAnswer: 131382","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = 96*x**2 - 2*x - 1. Let b be f(-1). Let i = b + -54. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*x = 2*x - 4 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 563808186 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is (1969\/231 - 11) + (-66)\/(-462)?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -227404, -454857, -682310, -909763, -1137216?\n\"Answer: -227453*q + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}